Mathematics Books
Princeton University Press Complex Adaptive Systems
Book SynopsisProvides an account of complex adaptive social systems, by two of the field's leading authorities. This work focuses on the key tools and ideas that have emerged in the field since the mid-1990s, as well as the techniques needed to investigate such systems. It also demonstrates how the usual extremes used in modeling can be fruitfully transcended.Trade Review"The use of computational, especially agent-based, models has already shown its value in illuminating the study of economic and other social processes. Miller and Page have written an orientation to this field that is a model of motivation and insight, making clear the underlying thinking and illustrating it by varied and thoughtful examples. It conveys with remarkable clarity the essentials of the complex systems approach to the embarking researcher."—Kenneth J. Arrow, winner of the Nobel Prize in economics"In Complex Adaptive Systems, two masters of this burgeoning field provide a highly readable and novel restatement of the logic of social interactions, linking individually based micro processes to macrosocial outcomes, ranging from Adam Smith's invisible hand to Thomas Schelling's models of standing ovations. The book combines the vision of a new Santa Fe school of computational, social, and behavioral science with essential 'how to' advice for apprentice modelers."—Samuel Bowles, author of Microeconomics: Behavior, Institutions, Evolution"This is a wonderful book that will be read by graduate students, faculty, and policymakers. The authors write in an extraordinarily clear manner about topics that are very technical and difficult for many people. I sat down to begin thumbing through and found myself deeply engaged."—Elinor Ostrom, author of Understanding Institutional DiversityTable of ContentsList of Figures xiii List of Tables xv Preface xvii Part I: Introduction 1 Chapter 1: Introduction 3 Chapter 2: Complexity in Social Worlds 9 2.1 The Standing Ovation Problem 10 2.2 What's the Buzz? 14 2.2.1 Stay Cool 14 2.2.2 Attack of the Killer Bees 15 2.2.3 Averaging Out Average Behavior 16 2.3 A Tale of Two Cities 17 2.3.1 Adding Complexity 20 2.4 New Directions 26 2.5 Complex Social Worlds Redux 27 2.5.1 Questioning Complexity 27 Part II: Preliminaries 33 Chapter 3: Modeling 35 3.1 Models as Maps 36 3.2 A More Formal Approach to Modeling 38 3.3 Modeling Complex Systems 40 3.4 Modeling Modeling 42 Chapter 4: On Emergence 44 4.1 A Theory of Emergence 46 4.2 Beyond Disorganized Complexity 48 4.2.1 Feedback and Organized Complexity 50 Part III: Computational Modeling 55 Chapter 5: Computation as Theory 57 5.1 Theory versus Tools 59 5.1.1 Physics Envy: A Pseudo-Freudian Analysis 62 5.2 Computation and Theory 64 5.2.1 Computation in Theory 64 5.2.2 Computation as Theory 67 5.3 Objections to Computation as Theory 68 5.3.1 Computations Build in Their Results 69 5.3.2 Computations Lack Discipline 70 5.3.3 Computational Models Are Only Approximations to Specific Circumstances 71 5.3.4 Computational Models Are Brittle 72 5.3.5 Computational Models Are Hard to Test 73 5.3.6 Computational Models Are Hard to Understand 76 5.4 New Directions 76 Chapter 6: Why Agent-Based Objects? 78 6.1 Flexibility versus Precision 78 6.2 Process Oriented 80 6.3 Adaptive Agents 81 6.4 Inherently Dynamic 83 6.5 Heterogeneous Agents and Asymmetry 84 6.6 Scalability 85 6.7 Repeatable and Recoverable 86 6.8 Constructive 86 6.9 Low Cost 87 6.10 Economic E. coli (E. coni?) 88 Part IV: Models of Complex Adaptive Social Systems 91 Chapter 7: A Basic Framework 93 7.1 The Eightfold Way 93 7.1.1 Right View 94 7.1.2 Right Intention 95 7.1.3 Right Speech 96 7.1.4 Right Action 96 7.1.5 Right Livelihood 97 7.1.6 Right Effort 98 7.1.7 Right Mindfulness 100 7.1.8 Right Concentration 101 7.2 Smoke and Mirrors: The Forest Fire Model 102 7.2.1 A Simple Model of Forest Fires 102 7.2.2 Fixed, Homogeneous Rules 102 7.2.3 Homogeneous Adaptation 104 7.2.4 Heterogeneous Adaptation 105 7.2.5 Adding More Intelligence: Internal Models 107 7.2.6 Omniscient Closure 108 7.2.7 Banks 109 7.3 Eight Folding into One 110 7.4 Conclusion 113 Chapter 8: Complex Adaptive Social Systems in One Dimension 114 8.1 Cellular Automata 115 8.2 Social Cellular Automata 119 8.2.1 Socially Acceptable Rules 120 8.3 Majority Rules 124 8.3.1 The Zen of Mistakes in Majority Rule 128 8.4 The Edge of Chaos 129 8.4.1 Is There an Edge? 130 8.4.2 Computation at the Edge of Chaos 137 8.4.3 The Edge of Robustness 139 Chapter 9: Social Dynamics 141 9.1 A Roving Agent 141 9.2 Segregation 143 9.3 The Beach Problem 146 9.4 City Formation 151 9.5 Networks 154 9.5.1 Majority Rule and Network Structures 158 9.5.2 Schelling's Segregation Model and Network Structures 163 9.6 Self-Organized Criticality and Power Laws 165 9.6.1 The Sand Pile Model 167 9.6.2 A Minimalist Sand Pile 169 9.6.3 Fat-Tailed Avalanches 171 9.6.4 Purposive Agents 175 9.6.5 The Forest Fire Model Redux 176 9.6.6 Criticality in Social Systems 177 Chapter 10: Evolving Automata 178 10.1 Agent Behavior 178 10.2 Adaptation 180 10.3 A Taxonomy of 2 x 2 Games 185 10.3.1 Methodology 187 10.3.2 Results 189 10.4 Games Theory: One Agent, Many Games 191 10.5 Evolving Communication 192 10.5.1 Results 194 10.5.2 Furthering Communication 197 10.6 The Full Monty 198 Chapter 11: Some Fundamentals of Organizational Decision Making 200 11.1 Organizations and Boolean Functions 201 11.2 Some Results 203 11.3 Do Organizations Just Find Solvable Problems? 206 11.3.1 Imperfection 207 11.4 Future Directions 210 Part V: Conclusions 211 Chapter 12: Social Science in Between 213 12.1 Some Contributions 214 12.2 The Interest in Between 218 12.2.1 In between Simple and Strategic Behavior 219 12.2.2 In between Pairs and Infinities of Agents 221 12.2.3 In between Equilibrium and Chaos 222 12.2.4 In between Richness and Rigor 223 12.2.5 In between Anarchy and Control 225 12.3 Here Be Dragons 225 Epilogue 227 The Interest in Between 227 Social Complexity 228 The Faraway Nearby 230 Appendixes A An Open Agenda For Complex Adaptive Social Systems 231 A.1 Whither Complexity 231 A.2 What Does it Take for a System to Exhibit Complex Behavior? 233 A.3 Is There an Objective Basis for Recognizing Emergence and Complexity? 233 A.4 Is There a Mathematics of Complex Adaptive Social Systems? 234 A.5 What Mechanisms Exist for Tuning the Performance of Complex Systems? 235 A.6 Do Productive Complex Systems Have Unusual Properties? 235 A.7 Do Social Systems Become More Complex over Time 236 A.8 What Makes a System Robust? 236 A.9 Causality in Complex Systems? 237 A.10 When Does Coevolution Work? 237 A.11 When Does Updating Matter? 238 A.12 When Does Heterogeneity Matter? 238 A.13 How Sophisticated Must Agents Be Before They Are Interesting? 239 A.14 What Are the Equivalence Classes of Adaptive Behavior? 240 A.15 When Does Adaptation Lead to Optimization and Equilibrium? 241 A.16 How Important Is Communication to Complex Adaptive Social Systems? 242 A.17 How Do Decentralized Markets Equilibrate? 243 A.18 When Do Organizations Arise? 243 A.19 What Are the Origins of Social Life? 244 B Practices for Computational Modeling 245 B.1 Keep the Model Simple 246 B.2 Focus on the Science, Not the Computer 246 B.3 The Old Computer Test 247 B.4 Avoid Black Boxes 247 B.5 Nest Your Models 248 B.6 Have Tunable Dials 248 B.7 Construct Flexible Frameworks 249 B.8 Create Multiple Implementations 249 B.9 Check the Parameters 250 B.10 Document Code 250 B.11 Know the Source of Random Numbers 251 B.12 Beware of Debugging Bias 251 B.13 Write Good Code 251 B.14 Avoid False Precision 252 B.15 Distribute Your Code 253 B.16 Keep a Lab Notebook 253 B.17 Prove Your Results 253 B.18 Reward the Right Things 254 Bibliography 255 Index 261
£31.50
Springer International Publishing AG Putnam and Beyond
Book SynopsisThis book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition is driven by nearly 1300 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. The source, author, and historical background are cited whenever possible. Complete solutions to all problems are given at the end of the book. This second edition includes new sections on quadratic polynomials, curves in the plane, quadratic fields, combinatorics of numbers, and graph theory, and added problems or theoretical expansion of sections on polynomials, matrices, abstract algebra, limits of sequences and functions, derivatives and their applications, Stokes' theorem, analytical geometry, combinatorial geometry, and counting strategies. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research. This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for independent study by undergraduate and graduate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons.Table of ContentsPreface to the Second Edition.- Preface to the First Edition.- A Study Guide.- 1. Methods of Proof.- 2. Algebra.- 3. Real Analysis.- 4. Geometry and Trigonometry.- 5. Number Theory.- 6. Combinatorics and Probability.- Solutions.- Index of Notation.- Index.
£999.99
Princeton University Press Polyominoes
Book SynopsisThis work looks at polyominoes, invented by Solomon Golomb, which have contributed to the study of combinatorial geometry and tiling theory. This work takes readers on a mathematical journey through the world of the polyomino.Trade Review"The book covers all areas, both beginner and expert, thoroughly. Hundreds of diagrams illustrate the detailed, clearly written texts... A classic. From a simple idea, Golomb has created a ... science."--Colin Singleton, New Scientist "One of the most eagerly anticipated second editions in the history of mathematics, [Polyominoes] was worth it... Truly a jewel in the crown of mathematical royalty, this book deserves to be a runaway bestseller."--Charles Ashbacher, Journal of Recreational Mathematics "Truly a jewel in the crown of mathematical royalty, this book deserves to be a runaway bestseller."--Journal of Recreational MathematicsTable of ContentsPreface to the Revised EditionPreface to the First EditionCh. 1Polyominoes and Checkerboards3Ch. 2Patterns and Polyominoes12Ch. 3Where Pentominoes Will Not Fit20Ch. 4Backtracking and Impossible Constructions30Ch. 5Some Theorems about Counting43Ch. 6Bigger Polyominoes and Higher Dimensions70Ch. 7Generalizations of Polyominoes85Ch. 8Tiling Rectangles with Polyominoes97Ch. 9Some Truly Remarkable Results111Appendix A. Answers to Exercises in Chapter 5127Appendix B. Problem Compendium133Appendix C. Golomb's Twelve Pentomino Problems146Appendix D. Klamer's Konstant and the Enumeration of N-Ominoes152Glossary155Bibliography for the First Edition160Comprehensive Bibliography162Name Index183
£22.50
Princeton University Press Beautiful Game Theory How Soccer Can Help
Book SynopsisTrade Review"[E]njoyably accessible to nonspecialists, especially sports enthusiasts, who will learn a great deal about soccer, economics, and human behavior more generally."--Foreign Affairs "Beautiful Game Theory shows what it is like to think deeply about a sport and to test your ideas with data... [I]t is a book I recommend unconditionally to those economists with even a passing sport."--John Considine, Sportseconomics.orgTable of ContentsIntroduction 1 FIRST HALF 1.Pele Meets John von Neumann in the Penalty Area 9 2.Vernon Smith Meets Messi in the Laboratory 31 3.Lessons for Experimental Design 45 4.Mapping Minimax in the Brain (with Antonio Olivero, Sven Bestmann, Jose Florensa Vila, and Jose Apesteguia) 58 5.Psychological Pressure on the Field and Elsewhere 68 HALFTIME 6.Scoring at Halftime 89 SECOND HALF 7.Favoritism under Social Pressure 107 8.Making the Beautiful Game a Bit Less Beautiful (with Luis Garicano) 124 9.Fear Pitch 151 10.From Argentina without Emotions 164 11.Discrimination: From the Makana Football Association to Europe 174 Acknowledgments 193 References 195 Index 205
£999.99
Princeton University Press The Bounds of Reason
Book SynopsisGame theory is central to understanding human behavior and relevant to all of the behavioral sciences - from biology and economics, to anthropology and political science. This title demonstrates, game theory alone cannot fully explain human behavior and should instead complement other key concepts championed by the behavioral disciplines.Trade Review"The Bounds of Reason appears as two books in one. One part develops an epistemic theory of the rational actor as an alternative to what is provided by classical game theory, and the other part is a spirited plea to use behavioral game theory as a unifying tool in all behavioral sciences. Both objectives are highly valuable, but combing them both creates friction. Friction creates heat, and Gintis, who thrives gleefully on controversial issues, may be enjoying the prospect of heated discussions."--Karl Sigmund, American Scientist "Gintis' work reflects an amazing breadth of knowledge of the behavioural sciences. He is ever ready to pose unusual questions and to defend unorthodox proposals. The Bounds of Reason is Gintis' most ambitious project to date, one that draws upon all of his extraordinary originality and learning."--Peter Vanderschraaf, Journal of Economics and Philosophy "The book is a combination of an excellent textbook on game theory and an innovation treatise advocating the unification of the behavioural sciences and refounding of game theory on different epistemic foundations... It is clearly an important contribution to the current debate over the rational actor model that the rise of behaviourial economics has provoked."--OxonomicsTable of ContentsPreface xi 1 Decision Theory and Human Behavior 1 1.1 Beliefs, Preferences, and Constraints 4 1.2 The Rationality of Time Inconsistency 9 1.3 Bayesian Rationality and Subjective Priors 12 1.4 Preferences Are State-Dependent 16 1.5 The Behavioral Revolution 18 2 Game Theory: Basic Concepts 33 2.1 The Extensive Form 33 2.2 The Normal Form 36 2.3 Nash Equilibrium 38 2.4 Correlated Equilibrium 47 3 Game Theory and Human Behavior 48 3.1 Behavioral Game Theory 49 3.2 Character Virtues 76 3.3 The Situational Character of Preferences 78 3.4 The Dark Side of Altruistic Cooperation 79 3.5 Norms of Cooperation: Cross-Cultural Variation 81 4 Rationalizability and Common Knowledge of Rationality 86 4.1 Dominated and Iteratedly Dominated Strategies 87 4.2 Epistemic Games 94 4.3 Rationalizable Strategies 98 4.4 Common Knowledge of Rationality 100 5 Extensive Form Rationalizability 106 5.1 Backward Induction and Dominated Strategies 106 5.2 CKR Fails off the Backward Induction Path 113 5.3 How to Play the Repeated Prisoner's Dilemma 114 5.4 Backward Induction and Extensive Form CKR 116 5.5 On the Inadmissibility of CKR 120 6 The Logical Antinomies of Knowledge 123 6.1 The Pitfalls of Na..ive Epistemic Logic 123 6.2 The Common Knowledge of Logicality Paradox 124 6.3 The Surprise Examination 125 6.4 The Modal Logic of Knowledge 126 6.5 A Truth That Cannot Be Known 128 7 The Mixing Problem: Purification and Conjectures 131 7.1 The Incoherence of Mixed Strategies 131 7.2 Purifying Mixed Strategies 133 7.3 A Reputational Model of Honesty and Corruption 135 7.4 Epistemic Games: Mixed Strategies as Conjectures 138 8 Bayesian Rationality and Social Epistemology 142 8.1 The Sexes: From Battle to Ballet 143 8.2 The Choreographer Trumps Backward Induction 144 8.3 Convention as Correlated Equilibrium 146 8.4 The Social Epistemology of Common Priors 149 8.5 The Social Epistemology of Common Knowledge 151 8.6 Social Norms 153 8.7 Game Theory and the Evolution of Norms 153 9 Common Knowledge and Nash Equilibrium 156 9.1 Nash Equilibrium in Two-Player Games 156 9.2 The Modal Logic of Common Knowledge 159 9.3 The Commonality of Knowledge 162 9.4 The Demise of Methodological Individualism 171 10 The Analytics of Human Sociality 174 10.1 Explaining Cooperation: An Overview 174 10.2 The Folk Theorem 178 10.3 Cooperation with Private Signaling 186 10.4 One Cheer for the Folk Theorem 188 10.5 Altruistic Punishing in the Public Goods Game 190 10.6 The Failure of Models of Self-Regarding Cooperation 193 11 The Unification of the Behavioral Sciences 194 11.1 Gene-Culture Coevolution: The Biological Model 196 11.2 Biological and Cultural Dynamics 202 11.3 The Socio-Psychological Theory of Norms 204 11.4 Socialization and the Internalization of Norms 206 11.5 Varieties of Behavioral Modeling 207 11.6 Society as a Complex Adaptive System 215 11.7 The Behavioral Disciplines Can Be Unified 219 12 Summary 221 12.1 Game Theory 221 12.2 Commonality of Beliefs 221 12.3 The Limits of Rationality 222 12.4 Social Norms as Correlated Equilibria 222 12.5 Reason Is Bounded by Sociality, Not Irrationality 223 13 Table of Symbols 224 References 226 Subject Index 254 Author Index 258
£27.00
Princeton University Press Morse Theory
Book SynopsisOne classical application of Morse theory includes the attempt to understand, with only limited information, the large-scale structure of an object. This kind of problem occurs in mathematical physics, dynamic systems, and mechanical engineering. This book offers an exposition of Morse theory by John Milnor, recipient of the Fields Medal in 1962.Trade Review"John Milnor, Winner of the 2011 Abel Prize from the Norwegian Academy of Science and Letters""John Willard Milnor, Winner of the 2011 Leroy P. Steele Prize for Lifetime Achievement, American Mathematical Society"Table of Contents*Frontmatter, pg. i*PREFACE, pg. v*CONTENTS, pg. vii*PART I. NON-DEGENERATE SMOOTH FUNCTIONS ON A MANIFOLD, pg. 1*PART II. A RAPID COURSE IN RIEMANNIAN GEOMETRY, pg. 43*PART III. THE CALCULUS OF VARIATIONS APPLIED TO GEODESICS, pg. 67*PART IV. APPLICATIONS TO LIE GROUPS AND SYMMETRIC SPACES, pg. 109*APPENDIX. THE HOMOTOPY TYPE OF A MONOTONE UNION, pg. 149
£59.50
Princeton University Press Singular Integrals and Differentiability
Book SynopsisSingular integrals are among the most interesting and important objects of study in analysis, one of the three main branches of mathematics. They deal with real and complex numbers and their functions. This book deals with this aspect, and serves as a mathematics text.Table of Contents*Frontmatter, pg. i*Preface, pg. vii*Notation, pg. ix*Contents, pg. xiii*I. Some Fundamental Notions of Real-Variable Theory, pg. 1*II. Singular Integrals, pg. 26*III. Riesz Transforms, Poisson Integrals, and Spherical Harmonics, pg. 54*IV. The Littlewood-Paley Theory and Multipliers, pg. 81*V. Differentiability Properties in Terms of Function Spaces, pg. 116*VI. Extensions and Restrictions, pg. 166*VII. Return to the Theory of Harmonic Functions, pg. 196*VIII. Differentiation of Functions, pg. 240*Appendices, pg. 271*Bibliography, pg. 279*Index, pg. 289
£103.70
Princeton University Press Elliptic Tales
Book SynopsisDescribes the developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics - the Birch and Swinnerton-Dyer Conjecture. The Clay Mathematics Institute is offering a prize of $1 million to anyone who can discover a general solution to the problem.Trade Review"The authors present their discussion in an informal, sometimes playful manner and with detail that will appeal to an audience with a basic understanding of calculus. This book will captivate math enthusiasts as well as readers curious about an intriguing and still unanswered question."--Margaret Dominy, Library Journal "Minimal prerequisites and its clear writing make this book (which even has a few exercises) a great choice for a seminar for mathematics majors, who at some point should have such an excursion to one of the frontiers of mathematics."--Mathematics Magazine "The authors of Elliptic Tales do a superb job in demonstrating the approach that mathematicians take when they confront unsolved problems involving elliptic curves."--Sungkon Chang, Times Higher Education "One cannot help being impressed, in reading the book and pursuing a few of the references, by the magnitude of the enterprise it chronicles."--James Case, SIAM News "Ash and Gross thoroughly explain the statement and significance of the linchpin Birch and Swinnerton-Dyer conjection... [A]sh and Gross deliver ample and current intellectual and technical substance."--Choice "I would envision this book as an excellent text for an undergraduate 'capstone' course in mathematics; the book lends itself to independent reading, but topics may be explored in much greater depth and rigor in the classroom. Additionally, the book indeed brings together ideas from calculus, complex variables and algebra, showing how a single mathematical research question may require an integrated understanding of the various branches of mathematics. Thus, it encourages students to reinforce their understanding of these various fields, while simultaneously introducing them to an open question in mathematics and a vibrant field of study."--Lisa A. Berger, Mathematical Reviews Clippings "The book is very pleasantly written, and in my opinion, the authors have done an admirable job in giving an idea to non-experts what the Birch-Swinnerton Dyer conjecture is about."--Jan-Hendrik Evertse, Zentralblatt MATH "The book's most important contributions ... are the sense of discovery, invention, and insight into the habits of mind used by mathematicians on this journey. I would recommend this book to anyone who wants to be challenged mathematically or who wants to experience mathematics as creative and exciting."--Jacqueline Coomes, Mathematics Teacher "[T]his book is a wonderful introduction to what is arguably one of the most important mathematical problems of our time and for that reason alone it deserves to be widely read. Another reason to recommend this book is the opportunity to share in the readily apparent joy the authors have for their subject and the beauty they see in it, not least because ... joy and beauty are the most important reasons for doing mathematics, irrespective of its dollar value."--Rob Ashmore, Mathematics Today "This book has many nice aspects. Ash and Gross give a truly stimulating introduction to elliptic curves and the BSD conjecture for undergraduate students. The main achievement is to make a relative easy exposition of these so technical topics."--Jonathan Sanchez-Hernandez, Mathematical SocietyTable of ContentsPreface xiii Acknowledgments xix Prologue 1 PART I. DEGREE Chapter 1. Degree of a Curve 13 1.Greek Mathematics 13 2.Degree 14 3.Parametric Equations 20 4.Our Two Definitions of Degree Clash 23 Chapter 2. Algebraic Closures 26 1.Square Roots of Minus One 26 2.Complex Arithmetic 28 3.Rings and Fields 30 4.Complex Numbers and Solving Equations 32 5.Congruences 34 6.Arithmetic Modulo a Prime 38 7.Algebraic Closure 38 Chapter 3. The Projective Plane 42 1.Points at Infinity 42 2.Projective Coordinates on a Line 46 3.Projective Coordinates on a Plane 50 4.Algebraic Curves and Points at Infinity 54 5.Homogenization of Projective Curves 56 6.Coordinate Patches 61 Chapter 4. Multiplicities and Degree 67 1.Curves as Varieties 67 2.Multiplicities 69 3.Intersection Multiplicities 72 4.Calculus for Dummies 76 Chapter 5. B'ezout's Theorem 82 1.A Sketch of the Proof 82 2.An Illuminating Example 88 PART II. ELLIPTIC CURVES AND ALGEBRA Chapter 6. Transition to Elliptic Curves 95 Chapter 7. Abelian Groups 100 1.How Big Is Infinity? 100 2.What Is an Abelian Group? 101 3.Generations 103 4.Torsion 106 5.Pulling Rank 108 Appendix: An Interesting Example of Rank and Torsion 110 Chapter 8. Nonsingular Cubic Equations 116 1.The Group Law 116 2.Transformations 119 3.The Discriminant 121 4.Algebraic Details of the Group Law 122 5.Numerical Examples 125 6.Topology 127 7.Other Important Facts about Elliptic Curves 131 5.Two Numerical Examples 133 Chapter 9. Singular Cubics 135 1.The Singular Point and the Group Law 135 2.The Coordinates of the Singular Point 136 3.Additive Reduction 137 4.Split Multiplicative Reduction 139 5.Nonsplit Multiplicative Reduction 141 6.Counting Points 145 7.Conclusion 146 Appendix A: Changing the Coordinates of the Singular Point 146 Appendix B: Additive Reduction in Detail 147 Appendix C: Split Multiplicative Reduction in Detail 149 Appendix D: Nonsplit Multiplicative Reduction in Detail 150 Chapter 10. Elliptic Curves over Q 152 1.The Basic Structure of the Group 152 2.Torsion Points 153 3.Points of Infinite Order 155 4.Examples 156 PART III. ELLIPTIC CURVES AND ANALYSIS Chapter 11. Building Functions 161 1.Generating Functions 161 2.Dirichlet Series 167 3.The Riemann Zeta-Function 169 4.Functional Equations 171 5.Euler Products 174 6.Build Your Own Zeta-Function 176 Chapter 12. Analytic Continuation 181 1.A Difference that Makes a Difference 181 2.Taylor Made 185 3.Analytic Functions 187 4.Analytic Continuation 192 5.Zeroes, Poles, and the Leading Coefficient 196 Chapter 13. L-functions 199 1.A Fertile Idea 199 2.The Hasse-Weil Zeta-Function 200 3.The L-Function of a Curve 205 4.The L-Function of an Elliptic Curve 207 5.Other L-Functions 212 Chapter 14. Surprising Properties of L-functions 215 1.Compare and Contrast 215 2.Analytic Continuation 220 3.Functional Equation 221 Chapter 15. The Conjecture of Birch and Swinnerton-Dyer 225 1.How Big Is Big? 225 2.Influences of the Rank on the Np's 228 3.How Small Is Zero? 232 4.The BSD Conjecture 236 5.Computational Evidence for BSD 238 6.The Congruent Number Problem 240 Epilogue 245 Retrospect 245 Where DoWe Go from Here? 247 Bibliography 249 Index 251
£22.50
Princeton University Press Mathematics in Ancient Iraq A Social History
Book SynopsisTraces the origins and development of mathematics in the ancient Middle East, from its earliest beginnings in the fourth millennium BCE to the end of indigenous intellectual culture in the second century BCE when cuneiform writing was gradually abandoned.Trade ReviewWinner of the 2011 Pfizer Award for Best Scholarly Book, History of Science Society One of Choice's Outstanding Academic Titles for 2009 Honourable Mention in the British-Kuwait Friendship Society Prize in Middle Eastern Studies 2009, British Society for Middle Eastern Studies "[F]ascinating."--Edward Rothstein, New York Times "Robson brings both a profound erudition in cuneiform and a nondogmatic constructionist view of mathematics to tell the history of Mesopotamian mathematics over the three millennia before the Common Era, connecting as she does the mathematical accomplishments to the cultural and societal norms of the day... A magisterial work, lucidly written, certain to endure."--M. Schiff, Choice "Author Robson deals admirably with an enormous scope (more than 3,000 years, with roughly equal space devoted to each 500-year epoch); numerous sources (950 published clay tablets, all of which are available at a simple Website); and the cultural context (social history, an ethnomathematical approach)."--Mathematics Magazine "Robson's book is a wonderful summary of what we know so far, and will be the standard for this generation, but the potential is there for far more research to teach us even more about mathematics in ancient Iraq."--Victor J. Katz, Mathematical Reviews "For archaeologists and archaeologically-minded historians ... Robson provide[s] significant new insights into the mathematics of ancient civilisations, while challenging us to consider how language, material culture, and socio-technical practices are integrated, not only in mathematics, but in many domains."--Stephen Chrisomalis, Antiquity "The wealth of detail and breadth of scope make this an excellent resource for a wide variety of readership. It can be read as one great narrative sweep, or one can bear down on a particular facet. The work is a huge advance in the presentation of modern scholarship on ancient mathematics to interested readers, specialist and non-specialist alike."--Duncan J. Melville, Historia Mathematica "Nothing comparable has been done before, and it has been a great pleasure to read the book, from which I have learned much."--Jens Hoyrup, Mathematical Intelligencer "Eleanor Robson's book Mathematics in Ancient Iraq is presently unique and will surely become a classic in the history of early mathematics. Despite the meticulous and detailed presentation of a representative selection of available sources, the book is very readable and captures the attention of the interested reader from the first to the last page. I recommend it to anyone who would like to learn something about the fascinating story of the development of mathematical activities in Mesopotamia."--Peter Damerow, Notices of the AMS "[Mathematics in Ancient Iraq] is argued passionately, persuasively and, I am pleased to add, enjoyably."--Bob Berghout, Australian Mathematical Society Gazette "Mathematics in Ancient Iraq fills a gap that has existed for a very long time."--Annette Imhausen, British Society for the History of Maths "Robson displays a confidence, familiarity, and breadth of scholarship that is impressive and inspiring. She epitomizes a new wave of research in the history of mathematics. She provides context, setting, and interpretative themes for generations of scholars to come, whether they will embrace them or resist them. Indeed, Robson's work is more than just a social history--it is emblematic of a new approach to this discipline. The details will excite specialists, the generalities will delight the uninitiated. 'Sparkling' indeed, this work is guaranteed to be an influential and foundational reference book, indispensable to the collections of the many disciplines it draws from."--Clemency Montelle, Journal of the American Oriental Society "Robson, as a professional assyriologist, is preeminently well positioned to write a history that situates Mesopotamian mathematics in its ancient social and intellectual context; and whether or not one always agrees with her interpretations of the mathematics, her competence in these aspects is nowhere in doubt."--Alexander Jones, British Journal for the History of Science "[T]he book is a very significant contribution to the history of mathematics. It is well written, solidly founded and argued, and easy to understand. It is a fine and important addition to the literature on Babylonian mathematics, and it will be very useful to readers from both inside and outside the field. The book is warmly recommended to everyone who is interested in mathematics and its history, in ancient cultures, or in science seen as an integrated part of culture, and to the broader public of historians of early science or Mesopotamian culture."--Lis Brack-Bernsen, Journal of World History "The book contains numerous charts, tables, images and databases that help us understand the issues addressed. It is excellently documented and it contains a comprehensive and up to date bibliography. Eleanor Robson is a scholar who commands the field that she investigates."--Piedad Yuste, Metascience "[T]he publication of a book of this kind is very welcome. Nothing like it has been published before, and it is going to be immensely helpful to both writers and readers of future articles and books about the subject."--Joran Friberg, Archive Fur OrientforschungTable of ContentsList of Figures xi List of Tables xvii Preface xxi Acknowledgments xxv Chapter One: Scope, Methods, Sources 1 1.1 The Subject: Ancient Iraq and Its Mathematics 1 1.2 The Artefacts: Assyriological and Mathematical Analysis 8 1.3 The Contexts: Textuality, Materiality, and Social History 17 Chapter Two: Before the Mid-Third Millennium 27 2.1 Background and Evidence 28 2.2 Quantitative Management and Emerging Statehood 33 2.3 Enumeration and Abstraction 40 2.4 Symmetry, Geometry, and Visual Culture 45 2.5 Conclusions 51 Chapter Three: The Later Third Millennium 54 3.1 Background and Evidence 55 3.2 Maps, Plans, and Itineraries: Visual and Textual Representations of Spatial Relationships 60 3.3 Accounting for Time and Labour: Approximation, Standardisation, Prediction 67 3.4 The Development of the Sexagesimal Place Value System (SPVS) 75 3.5 Conclusions 83 Chapter Four: The Early Second Millennium 85 4.1 Background and Evidence 86 4.2 Metrology, Multiplication, Memorisation: Elementary Mathematics Education 97 4.3 Words and Pictures, Reciprocals and Squares 106 4.4 Measurement, Justice, and the Ideology of Kingship 115 4.5 Conclusions 123 Chapter Five: Assyria 125 5.1 Background and Evidence 126 5.2 Palatial and Mercantile Numeracy in Early Assyria 129 5.3 Counting Heads, Marking Time: Quantifi cations in Royal Inscriptions and Records 136 5.4 Aru: Number Manipulation in Neo-Assyrian Scholarship 143 5.5 Conclusions 149 Chapter Six: The Later Second Millennium 151 6.1 Background and Evidence 151 6.2 Tabular Accounting in Southern Babylonia 157 6.3 Land Surveyors and Their Records in Northern Babylonia 166 6.4 Quantifi cation as Literary Device in the Epic of Gilgames 177 6.5 Conclusions 181 Chapter Seven: The Early First Millennium 183 7.1 Background and Evidence 184 7.2 Libraries and Schools: The Formalisation of the First-Millennium Scribal Curriculum 192 7.3 Home Economics: Numeracy in a Mid-First-Millennium Urban Household 198 7.4 Measuring Houses, Maintaining Professionalism 206 7.5 Conclusions 212 Chapter Eight: The Later First Millennium 214 8.1 Background and Evidence 215 8.2 Babylon: Mathematics in the Service of Astronomy? 220 8.3 Achaemenid Uruk: The Sangu-Ninurta and Ekur-z?kir Families 227 8.4 Seleucid Uruk: The Hunzu and Sin-leqi-unninni Families 240 8.5 Conclusions 260 Chapter Nine: Epilogue 263 9.1 The Big Picture: Three Millennia of Mathematics in Ancient Iraq 263 9.2 Ancient Mathematics in the Modern World 268 9.3 Inside Ancient Mathematics: Translation, Representation, Interpretation 274 9.4 The Worlds of Ancient Mathematics: History, Society, Community 284 9.5 Conclusions 288 Appendix A: Metrological Systems 291 Appendix B: Published Mathematical Tablets 299 Notes 345 Bibliography 373 Index of Tablets 409 Subject Index 425
£59.50
Princeton University Press A Primer on Mapping Class Groups
Book SynopsisThe study of the mapping class group Mod(S) is a classical topic that experiences a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains the main group-theoretical properties of Mod(S), from finite generation by Dehn twists and low-dimensional homology to the Dehn-Nielsen-Baer theorem.Trade Review"It is clear that a lot of care has been taken in the production of this book, something that indicates the authors' love for the subject. This book should now become the standard text for the subject."--Stephen P Humphries, Mathematical Reviews "[T]his is a very pleasant and appealing book and it is an excellent reference for any reader willing to learn about this fascinating part of mathematics."--Raquel Diaz, Alvaro Martinez, European Mathematical SocietyTable of Contents*Frontmatter, pg. i*Contents, pg. vii*Preface, pg. xi*Acknowledgments, pg. xiii*Overview, pg. 1*Chapter One. Curves, Surfaces, and Hyperbolic Geometry, pg. 17*Chapter Two. Mapping Class Group Basics, pg. 44*Chapter Three. Dehn Twists, pg. 64*Chapter Four. Generating The Mapping Class Group, pg. 89*Chapter Five. Presentations And Low-Dimensional Homology, pg. 116*Chapter Six. The Symplectic Representation and the Torelli Group, pg. 162*Chapter Seven. Torsion, pg. 200*Chapter Eight. The Dehn-Nielsen-Baer Theorem, pg. 219*Chapter Nine. Braid Groups, pg. 239*Chapter Ten. Teichmuller Space, pg. 263*Chapter Eleven. Teichmuller Geometry, pg. 294*Chapter Twelve. Moduli Space, pg. 342*Chapter Thirteen. The Nielsen-Thurston Classification, pg. 367*Chapter Fourteen. Pseudo-Anosov Theory, pg. 390*Chapter Fifteen. Thurston'S Proof, pg. 424*Bibliography, pg. 447*Index, pg. 465
£69.70
Princeton University Press Why Cats Land on Their Feet
Book SynopsisEver wonder why cats land on their feet? Or what holds a spinning top upright? Or whether it is possible to feel the Earth's rotation in an airplane? This title offers a compendium of paradoxes and puzzles that readers can solve using their own physical intuition. It also features an appendix that explains all physical concepts used in the book.Trade Review"A collection of physical puzzlers, often with counter intuitive manifestations, which, for all that, admit rigorous explanation supported by physical intuition... [H]ugely entertaining and provide hours of brainy activities."--Alexander Bogomolny, CTK Insights "This book seeks to nurture this physical intuition in readers by analyzing several paradoxes while keeping the math to a minimum. Through examining one puzzle or paradox after another, Levi emphasizes the underlying principles involved and helps foster an intuitive understanding of why things work the way they do. Readers will find themselves coaxed into learning because they want to satisfy their curiosity as they examine each puzzle... [A]n excellent resource for understanding some less-obvious principles of physics."--William Baer, Library Journal "Each chapter can be read in a few minutes time, say while you are drinking a cup of tea or coffee. It will give you a lot of inspiration to challenge or entertain your friends during a reception or another get-together with some different kind of beverages. Of course you will impress them only when they haven't read the book themselves already. Hence make sure that you are the first."--Adhemar Bultheel, European Mathematical Society "Mathematician Levi has assembled a fascinating collection of 77 puzzles, some clever new originals and some twists to old ones that challenge physical intuition... [A] pleasurable challenge."--Choice "Quite how a falling cat manages to land on its feet is a classic conundrum for undergraduate students of physics. Levi presents this and other puzzles, with a few clues to how to go about solving them using only high-school mathematics. He explains all the necessary physics concepts in the appendix too."--Nature Physics "Why Cats Land On Their Feet relies on a novel approach to problem solving that is not based on mathematics, but on models and physical intuition... By looking beyond formulas and equations, Levi's goal is to provide readers who have a familiarity with basic high-school math and physics with critical thinking skills that can be applied to a range of physics problems beyond the book."--Mechanical Engineering-CIME "Levi uses titillating puzzles and a humorous tone to truly infuse fun into the book. A must have for anyone that likes physics, or for that matter hates. Why Cats Land On Their Feet is a book that introduces the reader to the cool side of physics and then engages for hours."--Sarthak Shankar, Organiser "The book is written in an accessible style and presumes little mathematical knowledge: a couple of puzzles refer to some basic calculus, but most require only arithmetic. It is suitable for everyone from sixth form students upwards... Teachers and lecturers will particularly appreciate this text, finding in it numerous quirky thought-experiments, actual experiments and trivia to catch their students' attention."--Paul Taylor, Mathematics Today "This book will cultivate and challenge your physical intuition. Above all, it shows that physics and mathematics can be fun and useful at the same time."--Catherine A. Gorini, Mathematics Teacher "It is written with a lot of humor, and provides helpful insights without going into unnecessarily complicated physical or mathematical techniques. The style is informal and attractive, which makes the reading of the book a real pleasure."--Kiril Bankov, Mathematical GazetteTable of ContentsChapter 1 Fun with Physical Paradoxes, Puzzles, and Problems 1 1.1 Introduction 1 1.2 Background 3 1.3 Sources 3 Chapter 2 Outer Space Paradoxes 5 2.1 A Helium Balloon in a Space Shuttle 5 2.2 Space Navigation without Jets 9 2.3 A Paradox with a Comet 13 2.4 Speeding Up Causes a Slowdown 14 Chapter 3 Paradoxes with Spinning Water 17 3.1 A Puzzle with a Floating Cork 17 3.2 Parabolic Mirrors and Two Kitchen Puzzles 19 3.3 A Cold Parabolic Dish 21 3.4 Boating on a Slope 23 3.5 Navigating with No Engine or Sails 24 3.6 The Icebergs 25 Chapter 4 Floating and Diving Paradoxes 28 4.1 A Bathtub on Wheels 28 4.2 The Tub Problem--In More Depth 30 4.3 How to Lose Weight in a Fraction of a Second 32 4.4 An Underwater Balloon 33 4.5 A Scuba Puzzle 35 4.6 A Weight Puzzle 36 Chapter 5 Flows and Jets 39 5.1 Bernoulli's Law and Water Guns 39 5.2 Sucking on a Straw and the Irreversibility of Time 42 5.3 Bernoulli's Law and Moving Around in a Space Shuttle 44 5.4 A Sprinker Puzzle 45 5.5 Ejecting Water Fast but with Zero Speed? 48 5.6 A Pouring Water Puzzle 49 5.7 A Stirring Paradox 51 5.8 An Inkjet Printer Question 54 5.9 A Vorticity Paradox 55 Chapter 6 Moving Experiences: Bikes, Gymnastics, Rockets 57 6.1 How Do Swings Work? 57 6.2 The Rising Energy Cost 58 6.3 A Gymnast Doing Giants and a Hamster in a Wheel 60 6.4 Controlling a Car on Ice 63 6.5 How Does a Biker Turn? 64 6.6 Speeding Up by Leaning 65 6.7 Can One Gain Speed on a Bike by Body Motion Only? 66 6.8 Gaining Weight on a Motorbike 68 6.9 Feeling the Square in mv2 2 Through the Bike Pedals 69 6.10 A Paradox with Rockets 70 6.11 A Coffee Rocket 72 6.12 Throwing a Ball from a Moving Car 74 Chapter 7 Paradoxes with the Coriolis Force 77 7.1 What Is the Coriolis Force? 77 7.2 Feeling Coriolis in a Boeing 747 79 7.3 Down the Drain with Coriolis 80 7.4 High Pressure and Good Weather 80 7.5 What Causes Trade Winds? 82 Chapter 8 Centrifugal Paradoxes 84 8.1 What's Cheaper: Flying West or East? 84 8.2 A Coriolis Paradox 85 8.3 An Amazing Inverted Pendulum: What Holds It Up? 87 8.4 Antigravity Molasses 91 8.5 The "Proof" That the Sling Cannot Work 92 8.6 A David-Goliath Problem 93 8.7 Water in a Pipe 97 8.8 Which Tension Is Greater? 98 8.9 Slithering Ropes in Weightlessness 100 Chapter 9 Gyroscopic Paradoxes 104 9.1 How Does the Spinning Top Defy Gravity? 104 9.2 Gyroscopes in Bikes 108 9.3 A Rolling Coin 109 9.4 Staying on a Slippery Dome 111 9.5 Finding North with a Gyroscope 113 Chapter 10 Some Hot Stuff and Cool Things 117 10.1 Can Heat Pass from a Colder to a Hotter Object? 117 10.2 A Bike Pump and Molecular Ping-Pong 121 10.3 A Bike Pump as a Heat Pump 122 10.4 Heating a Room in Winter 124 10.5 Freezing Things with a Bike Tire 125 Chapter 11 Two Perpetual Motion Machines 127 11.1 Perpetual Motion by Capillarity 128 11.2 An Elliptical Mirror Perpetuum Mobile 129 Chapter 12 Sailing and Gliding 132 12.1 Shooting Cherry Pits and Sailing 133 12.2 Sailing Straight into the Wind 135 12.3 Biking against the Wind 136 12.4 Soaring without Updrafts 138 12.5 Danger of the Horizontal Shear Wind 141 Chapter 13 The Flipping Cat and the Spinning Earth 142 13.1 How Do Cats Flip to Land on Their Feet? 142 13.2 Can Trade Winds Slow Earth's Rotation? 144 Chapter 14 Miscellaneous 146 14.1 How to Open a Wine Bottle with a Book 146 14.2 :"t's Alive!" 149 14.3 Falling Faster Than g: A Falling Chain "Sucked in" by the Floor 150 14.4 A Man in a Boat with Drag 151 14.5 A "Phantom" Boat: No Wake and No Drag 154 14.6 A Constant-G Roller Coaster 156 14.7 Shooting at a Cart 158 14.8 Computing 2 with a Shoe 159 Appendix 161 A.1 Newton's Laws 161 A.2 Kinetic Energy, Potential Energy, Work 163 A.2.1 Work 163 A.2.2 Kinetic Energy 165 A.2.3 Potential Energy 166 A.2.4 Conservation of Energy 168 A.3 Center of Mass 169 A.4 Linear Momentum 171 A.5 The Torque 174 A.6 Angular Momentum 175 A.7 Angular Velocity, Centripetal Acceleration 178 A.8 Centrifugal and Centripetal Forces 181 A.9 Coriolis, Centrifugal, and Complex Exponentials 181 A.10 The Fundamental Theorem of Calculus 184 Bibliography 187 Index 189
£15.29
Princeton University Press Discrete and Computational Geometry
Book SynopsisAn essential introduction to discrete and computational geometryDiscrete geometry is a relatively new development in pure mathematics, while computational geometry is an emerging area in applications-driven computer science. Their intermingling has yielded exciting advances in recent years, yet what has been lacking until now is an undergraduate textbook that bridges the gap between the two. Discrete and Computational Geometry offers a comprehensive yet accessible introduction to this cutting-edge frontier of mathematics and computer science.This book covers traditional topics such as convex hulls, triangulations, and Voronoi diagrams, as well as more recent subjects like pseudotriangulations, curve reconstruction, and locked chains. It also touches on more advanced material, including Dehn invariants, associahedra, quasigeodesics, Morse theory, and the recent resolution of the Poincaré conjecture. Connections to real-world applications are made throughout, and algorithms are presented independently of any programming language. This richly illustrated textbook also features numerous exercises and unsolved problems. The essential introduction to discrete and computational geometry Covers traditional topics as well as new and advanced material Features numerous full-color illustrations, exercises, and unsolved problems Suitable for sophomores in mathematics, computer science, engineering, or physics Rigorous but accessible An online solutions manual is available (for teachers only) Trade Review"Discrete and Computational Geometry meets an urgent need for an undergraduate text bridging the theoretical sides and the applied sides of the field. It is an excellent choice as a textbook for an undergraduate course in discrete and computational geometry! The presented material should be accessible for most mathematics or computer science majors in their second or third year in college. The book also is a valuable resource for graduate students and researchers."--Egon Schulte, Zentralblatt MATH "[W]e recommend this book for an undergraduate course on computational geometry. In fact, we hope to use this book ourselves when we teach such a class."--Brittany Terese Fasy and David L. Millman, SigAct News
£59.50
Taylor & Francis Ltd Electrodynamics of Density Ducts in Magnetized
Book SynopsisProviding a systematic and self-contained treatment of excitation, propagation and re- emission of electromagnetic waves guided by density ducts in magnetized plasmas, this book describes in detail the theoretical basis of the electrodynamics of ducts. The classical dielectric-waveguide theory in open guiding systems in magnetoplasma is subjected to rigorous generalization. The authors emphasize the conceptual physical and mathematical aspects of the theory, while demonstrating its applications to problems encountered in actual practice. The opening chapters of the book discuss the underlying physical phenomena, outline some of the results obtained in natural and artificial density ducts, and describe the basic theory crucial to understanding the remainder of the book. The more specialized and complex topics dealt with in subsequent chapters include the theory of guided wave propagation along axially uniform ducts, finding the field excited by the source in the presence of a duct, excitation of guided modes, the asymptotic theory of wave propagation along axially nonuniform ducts, and mode re-emission from a duct. The full wave theory is used throughout most of the book to ensure consistency, and the authors start with simpler cases and gradually increase the complexity of the treatment.Table of Contents1. The Basic Equations 2. Integral Representation of Source-excited Fields on a Duct 3. Modal Representation of Source-excited Fields on a Duct 4. Wave Re-emission from a Density Duct 5. Modes in Axially Uniform Ducts 6. Radiation from Given Sources in a Uniform Unbounded Magnetoplasma 7. Wave Propagation Along Axially Non-uniform Ducts
£166.25
Springer Fachmedien Wiesbaden Topologie: Eine anschauliche Einführung in die
Book SynopsisDas Ziel des Buches ist eine umfassende Einführung sowohl in die geometrische wie die algebraische Topologie. Dabei werden lediglich gute Kenntnisse aus dem 1. Studienjahr in der Mathematik vorausgesetzt, die über die Analysis und lineare Algebra kaum hinausgehen; alle weiteren Hilfsmittel, wie die Grundbegriffe der mengentheoretischen Topologie, die Theorie der topologischen Gruppen und die algebraischen Grundlagen werden ebenfalls ausführlich dargestellt. Im Vordergrund stehen jedoch nicht die hieraus hervorgehenden technischen Apparate, sondern die geometrischen Fragestellungen, die erst den Anlass zu ihrer Entwicklung gaben.Table of ContentsEinführung - Allgemeine Topologie - Homotopie - Lie-Gruppen und homogene Räume - Homologie
£26.59
V&R unipress GmbH Alexandr A. Chuprov: Life, Work, Correspondence
Book Synopsis
£63.81
Engineers India Research Institute Textile Auxiliaries and Chemicals with Processes
Book SynopsisThe book covers Classifications and Chemistry, Manufacturing Processes of Textile Auxiliaries, Commercial Textile Auxiliaries, Formulations of Textile Auxiliaries, Classification of Surfactants, Details of Raw Materials, Anionic SurfactantS.
£32.24
Viva Books Statistics
Book SynopsisStatistics in unusual in its emphasis on the models that underlie statistical inference. The authors make the models comprehensible and show why choosing the wrong model can lead students astray. Carefully constructed exercises in every chapter offer practice in computational skills. Other call for rough estimates and qualitative judgments, so students are forced to come to grips with the concepts instead of mechanically applied formulas. Most sections close with an exercise set; the answers are in the back of the book, often with complete solutions. Chapters also have review exercises, without answers, for homework and tests. Illustrations are in integral part of the exposition. Beginners learn how to read histograms and scatterplots and how to think about these graphics in the context of real problems.
£28.49
Cambridge University Press Supergravity
Book SynopsisWritten by two of the most respected workers in the field, this is the first-ever authoritative and systematic account of supergravity. It provides a thorough introduction to the fundamentals of supergravity and with numerous exercises, examples and its range of applications, it is ideal for both Ph.D. students and researchers.Trade Review'Over the last four decades, the theory of supergravity has emerged as a central ingredient in the search for the still-elusive unified theory of nature, and has led to many deep results in mathematical physics. This comprehensive, accessible text, written by the pioneers of the subject, fills a gap in the literature and will play an essential role in our future efforts to understand nature.' Andrew Strominger, Harvard University'Freedman and Van Proeyen's Supergravity is a much-needed introduction to the union of general relativity with supersymmetry, written by two of the leaders in the field. The presentation is clear, well planned, and thorough. It begins with the necessary background in field theory and geometry, and runs through recent applications to AdS/CFT duality.' Joseph Polchinski, University of California, Santa Barbara'Finally there is an up-to-date textbook available that introduces supergravity to present and future generations of students. The authors take great care to explain the basic concepts of supersymmetry and supergravity in a pedagogical way, starting from standard notions in field theory and general relativity. Highly recommended.' Bernard de Wit, Utrecht University'Supergravity is a keystone of modern theoretical physics, connecting Einstein's gravity, superstring theory, and proposed extensions of the Standard Model of particle physics. It is also a subject known for its forbidding technical difficulties. In this book, Freedman and Van Proeyen decode the structure of supergravity. Beginning from lucid explanations of the basic geometrical and gauge symmetries, they show how to build up supergravity theories systematically in four and in higher dimensions.' Michael E. Peskin, Stanford University'Supergravity by D. Freedman and A. Van Proeyen is the most complete and most concise textbook on the basic mathematical formalism of supergravity, its solutions and applications for the AdS/CFT correspondence on the market. This book will become an indispensable tool for every student and researcher who wants to learn and to work with this beautiful subject.' Dieter Lüst, Ludwig-Maximilians-University Munich and the Max Planck Institute for Physics'This book is an excellent introduction to the rich and many-faceted topic of supergravity. Students will find it to be thorough and detailed and all around an outstanding book to learn from. More senior researchers will find it to be a very valuable resource.' Edward Witten, The Institute for Advanced Study, Princeton'Freedman and Van Proeyen have written an excellent book. As may be expected from two of the experts who played a significant role in the development of many of the topics described, the explanation of the material is very clear, including details of derivations and applications of the results.' Douglas J. Smith, Mathematical ReviewsTable of ContentsPart I. Relativistic Field Theory in Minkowski Spacetime: 1. Scalar field theory and its symmetries; 2. The Dirac field; 3. Clifford algebras and spinors; 4. The Maxwell and Yang-Mills gauge fields; 5. The free Rarita-Schwinger field; 6. N=1 global supersymmetry in D=4; Part II. Differential Geometry and Gravity: 7. Differential geometry; 8. The first and second order formulations of general relativity; Part III. Basic Supergravity: 9. N=1 pure supergravity in 4 dimensions; 10. D=11 supergravity; 11. General gauge theory; 12. Survey of supergravities; Part IV. Complex Geometry and Global SUSY: 13. Complex manifolds; 14. General actions with N=1 supersymmetry; Part V. Superconformal Construction of Supergravity Theories: 15. Gravity as a conformal gauge theory; 16. The conformal approach to N=1 supergravity; 17. Construction of the matter-coupled N=1 supergravity; Part VI. N=1 Supergravity Actions and Applications: 18. The physical N=1 matter-coupled supergravity; 19. Applications of N=1 supergravity; Part VII. Extended N=2 Supergravity: 20. Construction of the matter-coupled N=2 supergravity; 21. The physical N=2 matter-coupled supergravity; Part VIII. Classical Solutions and the AdS/CFT Correspondence: 22. Classical solutions of gravity and supergravity; 23. The AdS/CFT correspondence; Appendix; Index.
£61.74
Hodder Education Cambridge International AS & A Level Mathematics
Book SynopsisExam board: Cambridge Assessment International EducationLevel: A-levelSubject: MathematicsFirst teaching: September 2018First exams: Summer 2020Endorsed by Cambridge Assessment International Education to provide full support for Paper 6 of the syllabus for examination from 2020.Take mathematical understanding to the next level with this accessible series, written by experienced authors, examiners and teachers.- Improve confidence as a mathematician with clear explanations, worked examples, diverse activities and engaging discussion points. - Advance problem-solving, interpretation and communication skills through a wealth of questions that promote higher-order thinking. - Prepare for further study or life beyond the classroom by applying mathematics to other subjects and modelling real-world situations.- Reinforce learning with opportunities for digital practice via links to the Mathematics in Education and Industry's (MEI) Integral platform in the eBook.**To have full access to the eBook and Integral resources you must be subscribed to both Boost and Integral. To trial our eBooks and/or subscribe to Boost, visit: www.hoddereducation.com/Boost; to view samples of the Integral resources and/or subscribe to Integral, visit integralmaths.org/internationalPlease note that the Integral resources have not been through the Cambridge International endorsement process. This book covers the syllabus content for Probability and Statistics 2, including the Poisson distribution, linear combinations of random variables, continuous random variables, sampling and estimation and hypothesis tests.
£30.26
Hodder Education Cambridge International AS & A Level Further
Book SynopsisExam board: Cambridge Assessment International EducationLevel: A-levelSubject: MathematicsFirst teaching: September 2018First exams: Summer 2020Endorsed by Cambridge Assessment International Education to provide full support for Paper 1 of the syllabus for examination from 2020.Take mathematical understanding to the next level with this accessible series, written by experienced authors, examiners and teachers.- Improve confidence as a mathematician with clear explanations, worked examples, diverse activities and engaging discussion points. - Advance problem-solving, interpretation and communication skills through a wealth of questions that promote higher-order thinking. - Prepare for further study or life beyond the classroom by applying mathematics to other subjects and modelling real-world situations.- Reinforce learning with opportunities for digital practice via links to the Mathematics in Education and Industry's (MEI) Integral platform in the eBooks.**To have full access to the eBooks and Integral resources you must be subscribed to both Boost and Integral. To trial our eBooks and/or subscribe to Boost, visit: www.hoddereducation.co.uk/boost; to view samples of the Integral resources and/or subscribe to Integral, visit integralmaths.org/internationalPlease note that the Integral resources have not been through the Cambridge International endorsement process. Answers to exercise questions are on Cambridge Extras: www.hoddereducation.co.uk/cambridgeextrasThis book covers the syllabus content for Further Pure Mathematics 1, including roots of polynomial equations, rational functions and graphs, summation of series, matrices, polar coordinates, vectors and proof by induction.
£36.38
Elsevier Health Sciences The Geometrical Optics Workbook
a huge range and FREE tracked UK delivery on ALL orders.
£55.67
Bento Books, Inc. Math Girls
£18.52
Springer Mixed Effects Models and Extensions in Ecology with R
Book SynopsisLimitations of Linear Regression Applied on Ecological Data.- Things are not Always Linear; Additive Modelling.- Dealing with Heterogeneity.- Mixed Effects Modelling for Nested Data.- Violation of Independence Part I.- Violation of Independence Part II.- Meet the Exponential Family.- GLM and GAM for Count Data.- GLM and GAM for AbsencePresence and Proportional Data.- Zero-Truncated and Zero-Inflated Models for Count Data.- Generalised Estimation Equations.- GLMM and GAMM.- Estimating Trends for Antarctic Birds in Relation to Climate Change.- Large-Scale Impacts of Land-Use Change in a Scottish Farming Catchment.- Negative Binomial GAM and GAMM to Analyse Amphibian Roadkills.- Additive Mixed Modelling Applied on Deep-Sea Pelagic Bioluminescent Organisms.- Additive Mixed Modelling Applied on Phytoplankton Time Series Data.- Mixed Effects Modelling Applied on American Foulbrood Affecting Honey Bees Larvae.- Three-Way Nested Data for Age Determination Techniques Applied to Cetaceans.- GLTrade ReviewFrom the reviews:"For many people dealing with statistics is like jumping into ice-cold water. This metaphor is depicted by the cover of this book … . full of excellent example code and for most graphs and analyses the code is printed and explained in detail. … Each example finishes with … valuable information for a person new to a technique. In summary, I highly recommend the book to anyone who is familiar with basic statistics … who wants to expand his/her statistical knowledge to analyse ecological data." (Bernd Gruber, Basic and Applied Ecology, Vol. 10, 2009)"This book is written in a very approachable conversational style. The additional focus on the heuristics of the process rather than just a rote recital of theory and equations is commendable. This type of approach helps the reader get behind the ‘why’ of what’s being done rather than blindly follow a simple list of rules.… In short, this text is good for researchers with at least a little familiarity with the basic concepts of modeling and who want some solid stop-by-stop guidance with examples on how common ecological modeling tasks are accomplished using R." (Aaron Christ, Journal of Statistical Software, November 2009, Vol. 32)"The authors succeed in explaining complex extensions of regression in largely nonmathematical terms and clearly present appropriate R code for each analysis. A major strength of the text is that instead of relying on idealized datasets … the authors use data from consulting projects or dissertation research to expose issues associated with ‘real’ data. … The book is well written and accessible … . the volume should be a useful reference for advanced graduate students, postdoctoral researchers, and experienced professionals working in the biological sciences." (Paul E. Bourdeau, The Quarterly Review of Biology, Vol. 84, December, 2009)“This is a companion volume to Analyzing Ecology Data by the same authors. …It extends the previous work by looking at more complex general and generalized linear models involving mixed effects or heterogeneity in variances. It is aimed at statistically sophisticated readers who have a good understanding of multiple regression models… .The pedagogical style is informal… . The authors are pragmatists—they use combinations of informal graphical approaches, formal hypothesis testing, and information-theoretical model selection methods when analyzing data. …Advanced graduate students in ecology or ecologists with several years of experience with ‘messy’ data would find this book useful. …Statisticians would find this book interesting for the nice explorations of many of the issues with messy data. This book would be (very) suitable for a graduate course on statistical consulting—indeed, students would learn a great deal about the use of sophisticated statistical models in ecology! …I very much liked this book (and also the previous volume). I enjoyed the nontechnical presentations of the complex ideas and their emphasis that a good analysis uses ‘simple statistical methods wherever possible, but doesn’t use them simplistically.’” (Biometrics, Summer 2009, 65, 992–993)“This book is a great introduction to a wide variety of regression models. … This text examines how to fit many alternative models using the statistical package R. … The text is a valuable reference … . A large number of real datasets are used as examples. Discussion on which model to use and the large number of recent references make the book useful for self study … .” (David J. Olive, Technometrics, Vol. 52 (4), November, 2010)Table of ContentsLimitations of linear regression applied on ecological data. - Things are not always linear; additive modelling. - Dealing with hetergeneity. - Mixed modelling for nested data. - Violation of independence - temporal data. - Violation of independence; spatial data. - Generalised linear modelling and generalised additive modelling. - Generalised estimation equations. - GLMM and GAMM. - Estimating trends for Antarctic birds in relation to climate change. - Large-scale impacts of land-use change in a Scottish farming catchment. - Negative binomial GAM and GAMM to analyse amphibian road killings. - Additive mixed modelling applied on deep-sea plagic bioluminescent organisms. - Additive mixed modelling applied on phyoplankton time series data. - Mixed modelling applied on American Fouldbrood affecting honey bees larvae. - Three-way nested data for age determination techniques applied to small cetaceans. - GLMM applied on the spatial distribution of koalas in a fragmented landscape. - GEE and GLMM applied on binomial Badger activity data.
£87.99
Johns Hopkins University Press The Science of Conjecture
Book SynopsisThe Science of Conjecture provides a history of rational methods of dealing with uncertainty and explores the coming to consciousness of the human understanding of risk.Trade ReviewA remarkable book. Mr. Franklin writes clearly and exhibits a wry wit. But he also ranges knowledgeably across many disciplines and over many centuries. Wall Street Journal The Science of Conjecture opens an old chest of human attempts to draw order from havoc and wipes clean the rust from some cast-off classical tools that can now be reused to help build a framework for the unpredictable future. Science Franklin's style is clear and fluent, with an occasional sly Gibbonian aside to make the reader chuckle. New Criterion An admirably accessible study written in a crisp prose. It presents the reader with anarching historical perspective throughout many a century of human action. -- Giora Hon Centaurus Franklin gives a magisterial account of matters as diverse as the Talmud, Justinian's Digest, torture, witch hunts, Tudor treason trials, ancient and medieval astronomy and physics, humanist historiography, scholastic philosophy, speculations in public debt, and 17th century mathematics. His treatment of medieval law is among the best I have ever read. International Journal of Evidence and Proof Franklin's book is magnificent... Think of [it] as a non-fiction equivalent of Tolstoy's War and Peace. -- Peter Tillers The Jurist The Science of Conjecture is a masterly work, beautifully written, and based on encyclopaedic research... It is simply a tour de force that is unlikely to be surpassed for many a year. -- Barry Miller The Thomist Statistics teachers who like to sprinkle a little history and philosophy into their classes will find much here to delight and challenge them... This is a serious and scholarly work that I expect often will inform my teaching. -- Richard J. Cleary Journal of the American Statistical Association [This book has given me] sheer enjoyment in its density of strange information, in the wit and clarity if its writing, and in the vigour of its argumentation. I recommend it unreservedly to all interested in its subject. -- Oliver Mayo Australian and New Zealand Journal of Statistics This is the intellectual book of the year, and it ought to become one of the great classics of intellectual history. -- Scott Campbell Interdisciplinary Science Reviews The strength of The Science of Conjecture lies in its panoramic exposition of developments across the centuries and across intellectual disciplines and human endeavors. It is, as one reviewer wrote, 'a magesterial account of matters as diverse as the Talmud, Justinian's Digest, torture, witch hunts, Tudor treason trials, ancient and medieval astronomy and physics, humanist histriography, scholastic philosophy, speculations in public debt, and 17th century mathematics.' -- D. H. Kaye Law and History Review A remarkable book. Mr. Franklin writes clearly and exhibits a wry wit. But he also ranges knowledgeably across many disciplines and over many centuries. There are several reasons to read this book, but perhaps the best reason is its contemporary relevance. The lessons he discusses have pertinence to an age like ours, which has witnessed a gradual waning of faith in the objectivity of the relation of uncertain evidence to conclusion. Wall Street Journal In The Science of Conjecture, James Franklin shows us how deeply and subtly jurists and philosophers from ancient Greece onwards have explored how we can deal rationally with real-life cases (law cases, for instance, or scientific experiments) where the link between cause and effect is not obvious. -- J.M. Coetzee The Australian Since many in the nominalist/empiricist/positivist tradition deny that we can know natures, this book has a place in teacher education as well as legal education for the challenges it poses the reader on how we know, and how well we know, through induction, perception and abstraction. Metascience The text has an even wider importance in that it signals the need for more, not less, study of the history, philosophy and social studies in science to occupy a greater space in undergraduate degrees so that an educated electorate is better able to evaluate what the STEM community tells us is good for the progress of society. MetascienceTable of ContentsContents: Preface Chapter 1: The Ancient Law of Proof Egypt and Mesopotamia; The Talmud; Roman Law; Proof and Presumptions; Indian LawChapter 2: The Medieval Law of Evidence: Suspicion, Half-proof, and the Inquisition Dark Age Ordeals; The Gregorian Revolution; The Glossators Invent Half-Proof; Presumptions in Canon Law; Grades of Evidence and Torture; The Postglossators Bartolus and Baldus; The Competed Theory; The Inquisition; Law in the EastChapter 3: Renaissance Law Henry VIII Presumed Wed; Tudor Treason Trials; Continental Laws: The Treatises on Presumptions; The Witch Inquisitors; English Legal Theory and the Reasonable ManChapter 4: The Doubting Conscience and Moral Certainty Penance and Doubts; The Doctrine of Probabilism; Suarez: Negative and Positive Doubt; Grotius, Silhon, and the Morality of the State; Hobbes and the Risk of Attack; The Scandal of Laxism; English Casuists Pursue the Middle Way; Juan Caramuel Lobkowitz, Prince of Laxists; Pascal's Provincial LettersChapter 5: Rhetoric, Logic, Theory The Greek Vocabulary of Probability; The Sophists and the Art of Persuasion; Aristotle's Rhetoric and Logic; The Rhetoric to Alexander; Roman Rhetoric: Cicero and Quintilian; Islamic Logic; The Scholastic Dialectical Syllogism; Probability in Ordinary Language; Humanist Rhetoric; Late Scholastic LogicChapter 6: Hard Science Observation and Theory; Aristotle's Not-by-Chance Argument; Averaging of Observations in Greek Astronomy; The Simplicity of Theories; Nicole Oresme on Relative Frequency; Copernicus; Kepler Harmonizes Observations; Galileo on the Probability of Copernican HypothesisChapter 7: Soft Science and History The Physiognomics; Divination and Astrology; The Empiric School of Medicine on Drug Testing; The Talmud and Maimonides on Majorities; Vernacular Averaging and Quality Control; Experimentation in Biology; The Authority of Histories; The Authenticity of Documents; Valla and the Donation of Constantine; Cano and the Signs of True HistoriesChapter 8: Philosophy: Action and Induction Carneades's Mitigated Skepticism; The Epicureans on Inference from Signs; Inductive Skepticism and Avicenna's Reply; Aquinas on Tendencies; Scotus and Ockham on Induction; Nicholas of Autrecourt; The Decline of the West; Bacon and Descartes: Certainty? or Moral Certainty?; The Jesuits and Hobbes on Induction; Pascal's Deductivist Philosophy of ScienceChapter 9: Religion: Laws of God, Laws of Nature The Argument from Design; The Church Fathers; Inductive Skepticism by Revelation; John of Salisbury; Maimonides on Creation; Are Laws of Nature Necessary?; The Reasonableness of Christianity; Pascal's WagerChapter 10: Aleatory Contracts: Insurance, Annuities, and Bets The Price of Peril; Doubtful Claims in Jewish Law; Olivi on Usury and Future Profits; Pricing Life Annuities; Speculation in Public Debt; Insurance Rates; Renaissance Bets and Speculation; Lots and Lotteries; Commerce and the CasuistsChapter 11: Dice Games of Chance in Antiquity; The Medieval Manuscript on the Interrupted Game; Cardano; Gamblers and Casuists; Galileo's Fragment; De Mere and Roberval; The Fermat-Pascal Correspondence; Huygens' Reckoning in Games of Chance; CaramuelChapter 12: Conclusion Subsymbolic Probability and the Transition to Symbols; Kinds of Probability and the Stages of Discovering Them; Why Not Earlier?; Two Parallel Histories; The Genius of the Scholastics and the Orbit of Aristotle; The Place of Law in the history of IdeasEpilogue: The Survival of Unquantified Probability The Port-Royal Logic; Leibniz's Logic of Probability; To the PresentAppendix: Review of Work before 1660
£31.50
Society for Industrial and Applied Mathematics Ten Lectures on Wavelets 61 CBMSNSF Regional
Book SynopsisThis monograph contains 10 lectures presented by Dr. Daubechies as the principal speaker at the 1990 CBMS-NSF Conference on Wavelets and Applications. Wavelets are a mathematical development that many experts think may revolutionize the world of information storage and retrieval. They are a fairly simple mathematical tool now being applied to the compression of data, such as fingerprints, weather satellite photographs, and medical x-rays - that were previously thought to be impossible to condense without losing crucial details. The opening chapter provides an overview of the main problems presented in the book. Following chapters discuss the theoretical and practical aspects of wavelet theory, including wavelet transforms, orthonormal bases of wavelets, and characterization of functional spaces by means of wavelets. The last chapter presents several topics under active research, as multidimensional wavelets, wavelet packet bases, and a construction of wavelets tailored to decompose fun
£63.00
Princeton University Press A Course in Complex Analysis
Book SynopsisTrade Review"A no-nonsense, clearly written graduate level textbook . . . . far more approachable than many other books on complex analysis"---Jonathan Shock, Mathemafrica"An excellent textbook. . . . Carefully and precisely written in a lively style."---Ali Abkar, zbMATH Open"Beautifully produced, beautifully written, on an incomparably beautiful area of mathematics, this is an inspirational book that I shall gratefully return to again and again."---Nick Lord, Mathematical Gazette
£57.80
Cambridge University Press Frameworks Tensegrities and Symmetry
Book SynopsisThis introduction to the theory of rigid structures explains how to analyze the performance of built and natural structures under loads, paying special attention to the simplifying role of symmetry. Written for researchers and graduate students in structural engineering and mathematics, and of interest to computer scientists and physicists.Trade Review'Rigidity theory mathematicians and structural engineers are like two branches of a tribe that separated long ago. In the intervening time, the language and knowledge of each group has evolved to where concepts no longer align and common terms no longer have common meanings. As a result, when they interact today, confusion reigns. Frameworks, Tensegrities and Symmetry is a guide that both groups can use to understand the other.' William F. Baker, Skidmore, Owings & Merrill'The authors promise 'an attempt to build a bridge between two cultures' and they have done a remarkable job of this unenviable task. Requiring only a minimum of mathematical and engineering prerequisites the book develops intuitively, and rigorously, the rigidity theory of both bar frameworks and tensegrity frameworks and applies this theory to analyse built structures. Two masters of the field have carefully designed the book to move seamlessly between the analysis and synthesis of specific structures and providing the general, generic and symmetric theories.' Anthony Nixon, Lancaster UniversityTable of Contents1. Introduction; Part I. The General Case: 2. Frameworks and Rigidity; 3. First-Order Analysis of Frameworks; 4. Tensegrities; 5. Energy Functions and the Stress Matrix; 6. Prestress Stability; 7. Generic Frameworks; 8. Finite Mechanisms; Part II. Symmetric Structures: 9. Groups and Representation Theory; 10. First-Order Symmetry Analysis; 11. Generating Stable Symmetric Tensegrities; A. Useful Theorems and Proofs.
£55.09
Cambridge University Press Statistical Hypothesis Testing in Context Volume
Book SynopsisFay and Brittain present statistical hypothesis testing and compatible confidence intervals, focusing on application and proper interpretation. The emphasis is on equipping applied statisticians with enough tools - and advice on choosing among them - to find reasonable methods for almost any problem and enough theory to tackle new problems by modifying existing methods. After covering the basic mathematical theory and scientific principles, tests and confidence intervals are developed for specific types of data. Essential methods for applications are covered, such as general procedures for creating tests (e.g., likelihood ratio, bootstrap, permutation, testing from models), adjustments for multiple testing, clustering, stratification, causality, censoring, missing data, group sequential tests, and non-inferiority tests. New methods developed by the authors are included throughout, such as melded confidence intervals for comparing two samples and confidence intervals associated with WilTrade Review'A necessary book for the applied statistician seeking to understand the theoretical underpinnings of statistical methods and for graduate students knowledgeable about statistical theory but lacking experience in application. The book is chock full of challenging examples that point to the complexities of choice of method. A particularly valuable feature of the book is the authors' description of competing methods coupled with their clarity in explaining and justifying why they prefer one method over others. Fay and Brittain should sit on every statistician's bookshelf.' Janet Wittes, WCG Statistics Collaborative'Good statistical hypothesis testing and confidence interval construction involves mathematical aspects of finding a good test given a probability model and scientific aspects of determining the appropriateness of a probability model for answering a scientific question. This book provides a lucid discussion of both these mathematical and scientific aspects with compelling scientific examples. I most highly recommend this book.' Dylan Small, University of Pennsylvania'Congratulations to Fay and Brittain for this wonderful reference book that does what its somewhat unusual title suggests: puts hypothesis testing in the context of science. The vast coverage of topics, extensive bibliography and notes, and easy to understand explanations make 'Statistical Hypothesis Testing in Context: Reproducibility, Inference, and Science' an indispensable tool in the arsenal of any applied or theoretical statistician or biostatistician. I enthusiastically recommend buying the book!' Michael A. Proschan, National Institute of Allergy and Infectious DiseasesTable of Contents1. Introduction; 2. Theory of tests, p-values, and confidence intervals; 3. From scientific theory to statistical hypothesis test; 4. One sample studies with binary responses; 5. One sample studies with ordinal or numeric responses; 6. Paired data; 7. Two sample studies with binary responses; 8. Assumptions and hypothesis tests; 9. Two sample studies with ordinal or numeric responses; 10. General methods for creating decision rules; 11. K-Sample studies and trend tests; 12. Clustering and stratification; 13. Multiplicity in testing; 14. Testing from models; 15. Causality; 16. Censoring; 17. Missing data; 18. Group sequential and related adaptive methods; 19. Testing fit, equivalence, and non-inferiority; 20. Power and sample size.
£47.49
S Chand & Co Ltd Basics Of Engineering Mathematics Vol-I
Book Synopsis
£16.62
John Wiley & Sons Inc Project Finance for Business Development
Book SynopsisRaise the skill and competency level of project finance organizations Project Finance for Business Development helps readers understand how to develop a competitive advantage through project finance. Most importantly, it shows how different elements of project finance, such as opportunity screening and evaluation, project development, risk management, and due diligence come together to structure viable and financeable projectswhich are crucial pieces missing from the current literature. Eliminating misconceptions about what is really important for successful project financings, this book shows you how to develop, structure, and implement projects successfully by creating competitive advantage. By shedding light on project finance failures, it also helps you avoid failures of your own. Offers a roadmap for successful financing, participant roles and responsibilities, and assessing and testing project viability Considers project finance from a broad business development and compeTable of ContentsPreface xiii Acknowledgments xvii About the Author xix Chapter 1 Introduction: Why Project Finance for Business Development? 1 1.1 Origins of Project Finance 5 1.2 Project Finance Advantages and Disadvantages 6 1.3 Corporate and Structured Versus Project Finance 7 1.4 The Project Finance Market 8 1.5 Why a Business Development Approach to Project Finance? 10 1.6 Structure of the Book 13 1.7 Use of the Book to Maximize Benefit 16 Chapter 2 Overview of Project Finance: The Nature of the Beast 19 2.1 Project Taxonomy 22 2.2 Project Finance Phases 23 2.3 Key Elements of Project Finance 25 2.4 Ownership and Financing Structure Considerations 27 2.5 Primary Project Finance Activities 29 2.6 Common Misconceptions and Myths 32 Chapter 3 The Record of Project Finance: Lessons to Avoid Failures 35 3.1 The Record of Project Finance Deals 37 3.2 Reasons for Project Failures 40 3.3 Lessons Learned 56 Chapter 4 Project Financing Processes: Roadmaps for Successful Financing 61 4.1 Variants of Project Financing Processes 63 4.2 Nature of Project Financing Processes 66 4.3 Activities in Project Finance Processes 68 4.4 Milestones of Project Finance Processes 73 4.5 Successful Project Finance Process Characteristics 75 Chapter 5 Project Finance Organizations: Built for Competitive Advantage 79 5.1 The Need for PFOs 81 5.2 Business Definition of PFOs 82 5.3 PFO Skills and Qualifications 98 5.4 PFO Challenges 102 5.5 PFO Performance Evaluation Measures 107 5.6 Characteristics of Successful PFOs 108 Chapter 6 Project Development: Viability and Financeability Essentials 113 6.1 Project Development Prerequisites 116 6.2 Prefeasibility Assessment 117 6.3 Project Definition 118 6.4 Technical Design and Assessment 119 6.5 Feasibility Study 120 6.6 Due Diligence 122 6.7 Project and Financial Structures 124 6.8 Agreements and Negotiations 126 6.9 Project Marketing and Raising Financing 128 6.10 Development Costs and Success Factors 130 Chapter 7 Participants and Responsibilities: Activities and Deliverables 133 7.1 Roles of the Project Team 136 7.2 Roles of the Host Government 137 7.3 Roles of Project Sponsors 138 7.4 Roles of the Project Company 140 7.5 Roles of the Lenders 140 7.6 Roles of Advisors, Consultants, and Insurers 142 7.7 Roles of Multilateral and Unilateral Institutions 148 7.8 Roles of the EPC Contractor 150 7.9 Roles of Technology and Equipment Providers 151 7.10 Roles of Project Offtakers and Suppliers 152 7.11 Roles of the O&M Company 153 Chapter 8 Project Finance Forecasting: Ensuring Sound Decision Making 155 8.1 What Is a Good Forecast? 157 8.2 What to Forecast and Sources of Forecasts 159 8.3 Forecast Assumptions 161 8.4 Project Forecasting Process 163 8.5 Project Demand Analysis 170 8.6 Forecasting Methods and Techniques 172 8.7 Forecast Sanity Checks 179 8.8 Causes and Consequences of Forecast Failures 180 8.9 Forecast Monitoring and Realization Planning 182 Chapter 9 Project Contracts and Agreements: Critical to Project Finance 185 9.1 Structure, Prerequisites, and Costs of Contracts 188 9.2 Contract Development and Negotiation Process 189 9.3 Common Project Finance Contracts 191 9.4 Challenges of Project Finance Contracts 195 9.5 Project Contract Success Factors 197 Chapter 10 Project Risk Management: Crucial for Project Success 199 10.1 Objectives and Importance of Risk Management 200 10.2 Types of Project Risks 202 10.3 Sources of Project Risks 207 10.4 Risk Management Undertakings 209 10.5 Risk Management Process 210 10.6 Risk Management Instruments and Mitigants 214 10.7 Risk Management Benefits, Challenges and Success Factors 220 Chapter 11 Project Due Diligence: A Pillar of Viability and Financeability 225 11.1 Due Diligence Costs and Benefits 227 11.2 Host Country and Industry Due Diligence 230 11.3 Technical Due Diligence 231 11.4 Environmental Due Diligence 232 11.5 Commercial Due Diligence 233 11.6 Legal Due Diligence 234 11.7 Financial Due Diligence 235 11.8 Operational Due Diligence 237 11.9 Risk Management Due Diligence 239 11.10 General Areas of Due Diligence 240 11.11 Report, Assessment, and Quality Characteristics 241 Chapter 12 Funding Sources and Programs: Essential Knowledge and Alliances 245 12.1 Official Project Finance Sources 247 12.2 Private Sources and Instruments 255 12.3 Benefits of Official Funding Source Participation 260 Chapter 13 Structuring Project Finance: How Everything Comes Together 263 13.1 Elements of Project Financing Structuring 266 13.2 Equity and Debt Investor Requirements 268 13.3 Decisions from SPC Ownership to Financing Structure 270 13.4 Determinants of Project Financing 277 13.5 Amalgamation of Financing 279 Chapter 14 Project Financial Model: Assessing and Testing Financeability 283 14.1 Uses of the Financial Model 286 14.2 Financial Model Inputs 288 14.3 Financial Model Calculations and Outputs 290 14.4 Properties of Good Project Financial Models 294 Chapter 15 Trends Impacting Project Finance: Opportunities and Threats 299 15.1 Major Relevant Megatrends 302 15.2 Megatrend Sources and Characteristics 304 15.3 Demographic Trends 305 15.4 Technology and Industry Trends 307 15.5 Trends Impacting the Government Sector 308 15.6 Trends Impacting Sponsors and Investors 310 15.7 Trends Impacting Funding Sources and Financing 311 15.8 Analysis of Trends and Their Impact 313 Chapter 16 Project Finance: A Source of Competitive Advantage? 319 16.1 Sources of Competitive Advantage 322 16.2 Manifestations of Competitive Advantage 323 16.3 Creating Competitive Advantage 326 16.4 Competitive Advantage Reality Check 330 Appendix A Common Project Finance Abbreviations 339 Appendix B Commonly Used Project Finance Definitions 343 Bibliography 353 Index 359
£37.50
Taylor & Francis Ltd Probability Statistics and Data
a huge range and FREE tracked UK delivery on ALL orders.
£80.74
Amazon Digital Services LLC - Kdp Game Theory A Simple Introduction
£12.13
John Wiley & Sons Inc Item Response Theory
Book SynopsisA complete discussion of fundamental and advanced topics in Item Response Theory written by pioneers in the field In Item Response Theory, accomplished psychometricians Darrell Bock and Robert Gibbons deliver a comprehensive and up-to-date exploration of the theoretical foundations and applications of Item Response Theory (IRT). Covering both unidimensional and multidimensional IRT, as well as related adaptive test administration of previously calibrated item banks, the book addresses the growing need for understanding of this topic as the use of IRT spreads to other fields. The first book on the topic that offers a complete and unified treatment of its subject, Item Response Theory prepares researchers and students to understand and apply IRT and multidimensional IRT to fields like education, mental health and marketing. Accessible to first year-graduate students with a foundation in the behavioral or social sciences, basic statistics, and generalized linear models, the book walks Table of ContentsPreface xvii Acknowledgments xix 1 Foundations 1 1.1 The Logic of Item Response Theory 3 1.2 Model-based Data Analysis 4 1.3 Origins 5 1.3.1 Psychometric Scaling 6 1.3.2 Classical Test Theory 9 1.3.3 Contributions fromStatistics 10 1.4 The Population Concept in IRT 11 1.5 Generalizability Theory 14 2 Selected Mathematical and Statistical Results 21 2.1 Points, Point Sets, and Set Operations 21 2.2 Probability 24 2.3 Sampling 25 2.4 Joint, Conditional, and Marginal Probability 26 2.5 Probability Distributions and Densities 28 2.6 Describing Distributions 32 2.7 Functions of RandomVariables 34 2.7.1 Linear Functions 34 2.7.2 Nonlinear Functions 37 2.8 Elements ofMatrix Algebra 37 2.8.1 PartitionedMatrices 41 2.8.2 The Kronecker Product 42 2.8.3 Row and ColumnMatrices 43 2.8.4 Matrix Inversion 43 2.9 Determinants 45 2.10 Matrix Differentiation 45 2.10.1 Scalar Functions of Vector Variables 46 2.10.2 Vector Functions of a Vector Variable 47 2.10.3 Scalar Functions of aMatrix Variable 48 2.10.4 Chain Rule for Scalar Functions of a Matrix Variable 49 2.10.5 Matrix Functions of aMatrix Variable 49 2.10.6 Derivatives of a Scalar Function with Respect to a SymmetricMatrix 50 2.10.7 Second-order Differentiation 52 2.11 Theory of Estimation 53 2.11.1 Analysis of Variance 56 2.11.2 Estimating VarianceComponents 57 2.12 MaximumLikelihoodEstimation (MLE) 59 2.12.1 Likelihood Functions 59 2.12.2 The LikelihoodEquations 60 2.12.3 Examples of Maximum Likelihood Estimation 60 2.12.4 SamplingDistribution of the Estimator 62 2.12.5 The Fisher-scoring Solution of the Likelihood Equations 63 2.12.6 Properties of the Maximum Likelihood Estimator (MLE) 63 2.12.7 Constrained Estimation 64 2.12.8 Admissibility 64 2.13 Bayes Estimation 65 2.14 TheMaximumA Posteriori (MAP) Estimator 68 2.15 Marginal Maximum Likelihood Estimation (MMLE) 69 2.15.1 TheMarginal Likelihood Equations 70 2.15.2 Application in the “Normal-Normal” Case 72 2.15.3 The EMSolution 75 2.15.4 The Fisher-scoring Solution 75 2.16 Probit and LogitAnalysis 77 2.16.1 ProbitAnalysis 77 2.16.2 LogitAnalysis 79 2.16.3 Logit-linearAnalysis 80 2.16.4 Extension of Logit-linear Analysis to Multinomial Data 82 2.16.4.1 Graded Categories 83 2.16.4.2 NominalCategories 85 2.17 SomeResults fromClassical Test Theory 88 2.17.1 Test Reliability 90 2.17.2 Estimating Reliability 91 2.17.2.1 Bayes Estimation of True Scores 96 2.17.3 When are the Assumptions of Classical Test Theory Reasonable? 97 3 Unidimensional IRT Models 101 3.1 The General IRT Framework 103 3.2 Item ResponseModels 104 3.2.1 DichotomousCategories 105 3.2.1.1 Normal OgiveModel 105 3.2.1.2 2-PLModel 109 3.2.1.3 3-PLModel 111 3.2.1.4 1-PLModel 113 3.2.1.5 Illustration 114 3.2.2 PolytomousCategories 115 3.2.2.1 Graded CategoriesModel 118 3.2.2.2 Illustration 120 3.2.2.3 The NominalCategoriesModel 122 3.2.2.4 Nominal Multiple-Choice Model 130 3.2.2.5 Illustration 132 3.2.2.6 Partial CreditModel 135 3.2.2.7 Generalized Partial Credit Model 136 3.2.2.8 Illustration 136 3.2.2.9 Rating ScaleModels 136 3.2.3 RankingModel 139 4 Item Parameter Estimation - Binary Data 141 4.1 Estimation of Item Parameters Assuming Known Attribute Values of the Respondents 142 4.1.1 Estimation 143 4.1.1.1 The 1-parameterModel 143 4.1.1.2 The 2-parameterModel 144 4.1.1.3 The 3-parameterModel 145 4.2 Estimation of Item Parameters Assuming Unknown Attribute Values of the Respondents 146 4.2.1 Joint Maximum Likelihood Estimation (JML) 147 4.2.1.1 The 1-parameter Logistic Model 147 4.2.1.2 Logit-linearAnalysis 148 4.2.1.3 Proportional Marginal Adjustments 153 4.2.2 Marginal Maximum Likelihood Estimation (MML) 158 4.2.2.1 The 2-parameterModel 162 5 Item Parameter Estimation - Polytomous Data 177 5.1 General Results 177 5.2 The Normal OgiveModel 182 5.3 The NominalCategoriesModel 183 5.4 The Graded CategoriesModel 185 5.5 The Generalized Partial Credit Model 188 5.5.1 The Unrestricted Version 189 5.5.2 The EMSolution 190 5.5.2.1 The GPCM Newton-Gauss Joint Solution 191 5.5.3 Rating ScaleModels 191 5.5.3.1 The EMSolution for the RSM 192 5.5.3.2 The Newton-Gauss Solution for the RSM 193 5.6 Boundary Problems 194 5.7 MultipleGroupModels 196 5.8 Discussion 197 5.9 Conclusions 200 6 Multidimensional IRT Models 201 6.1 Classical Multiple Factor Analysis of Test Scores 202 6.2 Classical Item Factor Analysis 203 6.3 Item Factor Analysis Based on Item Response Theory 205 6.4 Maximum Likelihood Estimation of Item Slopes and Intercepts 206 6.4.1 Estimating Parameters of the Item Response Model 208 6.5 Indeterminacies of Item Factor Analysis 212 6.5.1 Direction of Response 212 6.5.2 Indeterminacy of Location and Scale 212 6.5.3 Rotational Indeterminacy of Factor Loadings in exploratory Factor Analysis 213 6.5.3.1 Varimax Factor Pattern 214 6.5.3.2 Promax Factor Pattern 214 6.5.3.3 General andGroup Factors 215 6.5.3.4 Confirmatory Item Factor Analysis and the Bifactor Pattern 215 6.6 Estimation of Item Parameters and Respondent Scores in Item Bifactor Analysis 218 6.7 Estimating Factor Scores 219 6.8 Example 220 6.8.1 Exploratory Item Factor Analysis 221 6.8.2 Confirmatory Item Bifactor Analysis 223 6.9 Two-tierModel 227 6.10 Summary 230 7 Analysis of Dimensionality 233 7.1 Unidimensional Models and Multidimensional Data 234 7.2 Limited-InformationGoodness of Fit Tests 237 7.3 Example 240 7.3.1 Exploratory Item Factor Analysis 240 7.3.2 Confirmatory Item Bifactor Analysis 241 7.4 Discussion 242 8 Computerized Adaptive Testing 243 8.1 What is Computerized AdaptiveTesting? 243 8.2 Computerized Adaptive Testing - An Overview 244 8.3 Item Selection 245 8.3.1 UnidimensionalComputerized Adaptive Testing (UCAT) 246 8.3.1.1 Fisher Information in IRT Model 246 8.3.1.2 Maximizing Fisher Information (MFI) and Its Limitations 248 8.3.1.3 Modifications toMFI 249 8.3.2 MultidimensionalComputerized Adaptive Testing (MCAT) 251 8.3.2.1 Two Conceptualizations of the Information Function in Multidimensional Space 252 8.3.2.2 SelectionMethods inMCAT 253 8.3.3 Bifactor IRT 256 8.4 Terminating an Adaptive Test 257 8.5 AdditionalConsiderations 258 8.6 An Example fromMental HealthMeasurement 260 8.6.1 The CAT-Mental Health 261 8.6.2 Discussion 264 9 Differential Item Functioning 267 9.1 Introduction 267 9.2 Types of DIF 268 9.3 TheMantel-Haenszel Procedure 270 9.4 Lord’sWald Test 271 9.5 LagrangeMultiplier Test 272 9.6 LogisticRegression 273 9.7 Assessing DIF for the BifactorModel 275 9.8 Assessing DIF fromCATData 276 10 Estimating Respondent Attributes 279 10.1 Introduction 279 10.2 Ability Estimation 279 10.2.1 MaximumLikelihood280 10.2.2 BayesMAP 281 10.2.3 Bayes EAP 281 10.2.4 Ability Estimation for Polytomous data 282 10.2.5 Ability Estimation for Multidimensional IRT Models 283 10.2.6 Ability Estimation for the Bifactor Model 284 10.2.7 Estimation of the Ability Distribution 284 10.2.8 Domain Scores 285 11 Multiple Group Item Response Models 287 11.1 Introduction 287 11.2 IRT Estimation when the Grouping Structure is Known: TraditionalMultipleGroup IRT 288 11.2.1 Example 291 11.3 IRT Estimation when the Grouping Structure is Unknown: Mixtures of Gaussian Components 292 11.3.1 TheMixture Distribution 293 11.3.2 The LikelihoodComponent 295 11.3.3 Algorithm 296 11.3.4 Unequal Variances 297 11.4 MultivariateProbit Analysis 297 11.4.1 TheModel 299 11.4.2 Identification 300 11.4.3 Estimation 300 11.4.4 Tests of Fit 301 11.4.5 Illustration 302 11.5 Multilevel IRTModels 306 11.5.1 The RaschModel 306 11.5.2 The Two-parameter LogisticModel 308 11.5.3 Estimation 308 11.5.4 Illustration 309 12 Test and Scale Development and Maintenance 311 12.1 Introduction 311 12.2 Item Banking 311 12.3 Item Calibration 314 12.3.1 The OEMMethod 315 12.3.2 TheMEMMethod 315 12.3.3 Stocking’sMethod A 315 12.3.4 Stocking’sMethod B 316 12.4 IRT Equating 318 12.4.1 Linking, Scale Aligning and Equating 318 12.4.2 Experimental Designs for Equating 319 12.4.2.1 SingleGroup (SG)Design 319 12.4.2.2 Equivalent Groups (EG) Design 319 12.4.2.3 Counterbalanced (CB) Design 319 12.4.2.4 The Anchor Test or Nonequivalent Groups with Anchor Test (NEAT) Design 319 12.5 Harmonization 320 12.6 Item Parameter Drift 322 12.7 Summary 323 13 Some Interesting Applications 325 13.1 Introduction 325 13.2 Bio-behavioral Synthesis 325 13.3 Mental HealthMeasurement 328 13.3.1 The CAT-Depression Inventory 328 13.3.2 The CAT-Anxiety Scale 330 13.3.3 The Measurement of Suicidality and the Prediction of Future Suicidal Attempt 331 13.3.4 Clinician and Self-rated Psychosis Measurement 332 13.3.5 Substance Use Disorder 334 13.3.6 Special Populations and Differential Item Functioning 335 13.3.6.1 Perinatal 335 13.3.6.2 Emergency Medicine 336 13.3.6.3 Latinos Taking Tests in Spanish 336 13.3.6.4 Criminal Justice 338 13.3.7 Intensive LongitudinalData 339 13.4 IRT inMachine Learning 340 Bibliography 343 Index 361
£97.16
Springer International Publishing AG ggplot2: Elegant Graphics for Data Analysis
Book SynopsisThis new edition to the classic book by ggplot2 creator Hadley Wickham highlights compatibility with knitr and RStudio. ggplot2 is a data visualization package for R that helps users create data graphics, including those that are multi-layered, with ease. With ggplot2, it's easy to: produce handsome, publication-quality plots with automatic legends created from the plot specification superimpose multiple layers (points, lines, maps, tiles, box plots) from different data sources with automatically adjusted common scales add customizable smoothers that use powerful modeling capabilities of R, such as loess, linear models, generalized additive models, and robust regression save any ggplot2 plot (or part thereof) for later modification or reuse create custom themes that capture in-house or journal style requirements and that can easily be applied to multiple plots approach a graph from a visual perspective, thinking about how each component of the data is represented on the final plot This book will be useful to everyone who has struggled with displaying data in an informative and attractive way. Some basic knowledge of R is necessary (e.g., importing data into R). ggplot2 is a mini-language specifically tailored for producing graphics, and you'll learn everything you need in the book. After reading this book you'll be able to produce graphics customized precisely for your problems, and you'll find it easy to get graphics out of your head and on to the screen or page.Trade Review“The versatility and efficiency of ggplot have led to the development of ggplot2 and this book which overviews the standard use and presentation secrets of functions developed in the last 5 years. … The book is written in an accessible manner and it is suitable for undergraduates, postgraduates and researchers with some R experience. All theoretical concepts are accompanied by code making it easy to learn by reproducing the examples.” (Irina Ioana Mohorianu, zbMATH 1397.62006, 2018)“The book is an excellent and very comprehensive manual of … one of the most popular R packages. It is currently the only book describing ggplot2 in such depth. The book contains many examples and is very nicely illustrated, demonstrating the strength of the package.” (Klaus Galensa, Computing Reviews, May, 2017)Table of ContentsIntroduction.- Getting Started with ggplot2.- Toolbox.- Mastering the Grammar.- Building a Plot Layer by Layer.- Scales, Axes and Legends.- Positioning.- Themes.- Data Analysis.- Data Transformation.- Modelling for Visualisation.- Programming with ggplot2.- Index.- R Code Index.
£37.99
Cambridge University Press Singularities Bifurcations and Catastrophes
Book SynopsisSuitable for advanced undergraduates, postgraduates and researchers, this self-contained textbook provides an introduction to the mathematics lying at the foundations of bifurcation theory. The theory is built up gradually, beginning with the well-developed approach to singularity theory through right-equivalence. The text proceeds with contact equivalence of map-germs and finally presents the path formulation of bifurcation theory. This formulation, developed partly by the author, is more general and more flexible than the original one dating from the 1980s. A series of appendices discuss standard background material, such as calculus of several variables, existence and uniqueness theorems for ODEs, and some basic material on rings and modules. Based on the author''s own teaching experience, the book contains numerous examples and illustrations. The wealth of end-of-chapter problems develop and reinforce understanding of the key ideas and techniques: solutions to a selection are proviTrade Review'This beautiful book is in fact a course which can be viewed as addressed to undergraduate and graduate students, to junior and senior researchers, to the teaching staff (faculty), and to other people interested in the field.' Vladimir Răsvan, European Mathematical SocietyTable of ContentsPreface; 1. What's It All About?; Part I. Catastrophe Theory; 2. Families of Functions; 3. The Ring of Germs of Smooth Functions; 4. Right Equivalence; 5. Finite Determinacy; 6. Classification of the Elementary Catastrophes; 7. Unfoldings and Catastrophes; 8. Singularities of Plane Curves; 9. Even Functions; Part II. Singularity Theory; 10. Families of Maps and Bifurcations; 11. Contact Equivalence; 12. Tangent Spaces; 13. Classification for Contact Equivalence; 14. Contact Equivalence and Unfoldings; 15. Geometric Applications; 16. Preparation Theorem; 17. Left-Right Equivalence; Part III. Bifurcation Theory; 18. Bifurcation Problems and Paths; 19. Vector Fields Tangent to a Variety; 20. Kv-equivalence; 21. Classification of Paths; 22. Loose Ends; 23. Constrained Bifurcation Problems; Part IV. Appendices; A. Calculus of Several Variables; B. Local Geometry of Regular Maps; C. Differential Equations and Flows; D. Rings, Ideals and Modules; E. Solutions to Selected Problems.
£42.74
Birkhauser Verlag AG Who Killed Professor X?
Book SynopsisThis graphic novel is both a historical novel as well as an entertaining way of using mathematics to solve a crime. The plot, the possible motive of every suspect, and the elements of his or her character are based on actual historical figures.The 2nd International Congress of Mathematicians is being held in Paris in 1900. The main speaker, the renowned Professor X, is found dead in the hotel dining room. Foul play is suspected. The greatest mathematicians of all time (who are attending the Congress) are called in for questioning. Their statements to the police, however, take the form of mathematical problems. The Chief Inspector enlists the aid of a young mathematician to help solve the crime. Do numbers always tell the truth? Or don’t they?Trade Review“It is a detective story in which several of the greatest historic mathematicians become all suspects for a murder on a colleague. … This is a wonderful booklet of fiction, but based on historical incidents. … It is a fantastic present that you can give to anybody between 9 and 99.” (Adhemar Bultheel, euro-math-soc.eu, June, 2015)Table of ContentsThe Crime.- The Suspects: Mathematicians.- Credits.- Examination of the Statements.
£14.25
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Homotopical Algebra
Table of ContentsAxiomatic homotopy theory.- Examples of simplicial homotopy theories.
£24.99
Lotus Press Vedic Mathematics New Horizons Initial Lessons
Book Synopsis
£16.88
Profile Books Ltd What's the Use?: The Unreasonable Effectiveness
Book SynopsisMany people think mathematics is useless. They're wrong. In the UK, the 2.8 million people employed in mathematical science occupations contributed £208 billion to the economy in a single year -- that's 10 per cent of the workforce contributing 16 per cent of the economy. What's the Use? asks why there is such a vast gulf between public perceptions of mathematics and reality. It shows how mathematics is vital, often in surprising ways, behind the scenes of daily life. How politicians pick their voters. How an absurd little puzzle solved 300 years ago leads to efficient methods for kidney transplants. How an Irish mathematician's obsession with a new number system improves special effects in movies and computer games. How SatNav relies on at least six mathematical techniques. And how a bizarre, infinitely wiggly curve, helps to optimise deliveries to your door.Trade ReviewRichly informative [and] revealing ... If you believe mathematics offers little of practical use, Stewart is back to show you the error of your ways ... The acclaimed mathematics popularizer writes for an audience prepared to pay attention to ingenious yet undoubtedly complex insights * Kirkus *Praise for Ian Stewart Stewart is Britain's most brilliant and prolific populariser of maths -- Alex BellosThis is not pure maths. It is maths contaminated with wit, wisdom, and wonder ... He guides us on a mind-boggling journey from the ultra trivial to the profound. Thoroughly entertaining * New Scientist *Humbling and inspiring. Stewart shows with his typical clarity how the power of pure thought has shaped our world for over two millennia -- Jim Al-Khalili * FRS *This is a superb Cabinet of Mathematical Curiosities that deserves a place with the classics of the genre. * Mathematics Today *With captivating stories and his signature clarity, Ian Stewart shows us how math makes the world - and the rest of the universe - go round. -- Steven Strogatz, Professor of Mathematics, Cornell UniversityStewart has served up the instructive equivalent of a Michelin-starred tasting menu, or perhaps a smorgasbord of appetisers. And of course, appetisers are designed to give you an appetite for more. -- Tim Radford * Guardian *Intriguing ... [Do Dice Play God? is] a challenging but rewarding trip through a quantum world of uncertainties. -- Publishers' WeeklyThe innumerate will struggle, but every reader will encounter gems and jolts in this expert analysis of probability * Kirkus *[An] engaging history ... [Stewart] at his best -- Tom Whipple * Times *[An] entertaining guide * Wall Street Journal *
£20.00
Basic Books The Art of Statistics: How to Learn from Data
Book Synopsis
£18.69
Cambridge University Press Control Theory for Physicists
Book SynopsisControl theory, an interdisciplinary topic within the study of dynamical systems, is an important but often overlooked part of a physicist's education. This is the first broad and complete treatment of the subject specifically tailored for physicists, spanning the basics to the most recent advances.Trade Review'Exceptionally well written, organized and presented, Control Theory for Physicists is an ideal and comprehensive volume that is unreservedly recommended as a curriculum textbook. While a core addition to college and university library Mathematical Physics & Calculus collections, it should be noted for students, academia, physicists, and non-specialist general readers with an interest in the subject …' Midwest Book Review'… will enhance appreciation of the limits of practical applications of physics, especially those associated with thermodynamics and information theory … Highly recommended.' E. Kincanon, Choice Connect'This is a rare example of a textbook that is concise yet clear, math dense yet very accessible, and rigorous yet beautifully written. The treatment throughout prioritizes first-principles descriptions, with an emphasis on not only when control works but also when it fails. It includes well-contextualized examples and well-formulated problems. It is ready for classroom use, with additional resources for instructors-such as a solution manual and associated Mathematica notebooks-available from the publisher. A 100-page supplement on background mathematics is also available on the publisher's website, which provides a comprehensive review of key mathematical topics. As already noted by Hugo Touchette in his back cover endorsement, this book may indeed lead more departments to include control theory in their curriculum.' Adilson E. Motter, Professor of Physics and Astronomy at Northwestern University, Illinois, IEEE Control Systems'… Together with information theory, control theory is the area of engineering that has the most fundamental lessons to teach physicists, and John Bechhoefer's recent textbook, Control Theory for Physicists, is an excellent place to start learning them … the pedagogical presentation of the material in the book perfectly complements its engaging subject matter.' Michael Hinczewski, The BiophysicistTable of ContentsPart I. Core Material: 1. Historical introduction; 2. Dynamical systems; 3. Frequency-domain control; 4. Time-domain control; 5. Discrete-time systems; 6. System identification; Part II. Advanced Ideas: 7. Optimal control; 8. Stochastic systems; 9. Robust control; 10. Adaptive control; 11. Nonlinear control; Part III. Special Topics: 12. Discrete-state systems; 13. Quantum control; 14. Networks and complex systems; 15. Limits to control.
£63.64
Princeton University Press Scalar Vector and Matrix Mathematics
Book Synopsis"Revised and expanded edition of Matrix mathematics, retitled Scalar, vector, and matrix mathematics"--Preface.Trade ReviewPraise for the previous editions: "When a matrix question is thrown my way, I will now refer my correspondents ... to Bernstein's handbook."--Philip J. Davis, SIAM News Praise for the previous editions: "The amount of material that is covered is quite impressive and well structured... I highly recommend the book as a source for retrieving or verifying matrix results that one would otherwise have to search for in the extensive literature on matrix theory."--Paul Van Dooren, IEEE Control Systems Magazine Praise for the previous editions: "The author was very successful in collecting the enormous amount of results in matrix theory in a single source... A beautiful work and an admirable performance!"--Monatshefte fur Mathematik Praise for the previous editions: "A remarkable source of matrix results. I will put it on the shelf near to my desk so that I have quick access to it. The book is an impressive accomplishment."--Helmut Lutkepohl, Image Praise for the previous editions: "A well-organized treasure trove of information for anyone interested in matrices and their applications."--Henry Ricardo, MAA Reviews
£78.20
MP-AMM American Mathematical The Math Behind the Magic
Book SynopsisMagic tricks can be easy to perform and have an interesting mathematical foundation. In this rich, colourfully illustrated volume, Ehrhard Behrends presents around 30 card tricks and number games that are easy to learn, with no prior knowledge required. This is maths as you've never experienced it before: entertaining and fun!Table of Contents You can count on it Let's mix it up! Optimally packaged information: Coding Chance makes magic Appendix References.
£29.40
John Wiley & Sons Inc GARCH Models
Book SynopsisProvides a comprehensive and updated study of GARCH models and their applications in finance, covering new developments in the discipline This book provides a comprehensive and systematic approach to understanding GARCH time series models and their applications whilst presenting the most advanced results concerning the theory and practical aspects of GARCH. The probability structure of standard GARCH models is studied in detail as well as statistical inference such as identification, estimation, and tests. The book also provides new coverage of several extensions such as multivariate models, looks at financial applications, and explores the very validation of the models used. GARCH Models: Structure, Statistical Inference and Financial Applications, 2nd Edition features a new chapter on Parameter-Driven Volatility Models, which covers Stochastic Volatility Models and Markov Switching Volatility Models. A second new chapter titled Alternative Models for thTable of ContentsPreface to the Second Edition xi Preface to the First Edition xiii Notation xv 1 Classical Time Series Models and Financial Series 1 1.1 Stationary Processes 1 1.2 ARMA and ARIMA Models 3 1.3 Financial Series 6 1.4 Random Variance Models 10 1.5 Bibliographical Notes 11 1.6 Exercises 12 Part I Univariate GARCH Models 2 GARCH(p, q) Processes 17 2.1 Definitions and Representations 17 2.2 Stationarity Study 22 2.2.1 The GARCH(1,1) Case 22 2.2.2 The General Case 26 2.3 ARCH(∞) Representation* 36 2.3.1 Existence Conditions 36 2.3.2 ARCH(∞) Representation of a GARCH 39 2.3.3 Long-Memory ARCH 40 2.4 Properties of the Marginal Distribution 41 2.4.1 Even-Order Moments 42 2.4.2 Kurtosis 45 2.5 Autocovariances of the Squares of a GARCH 46 2.5.1 Positivity of the Autocovariances 47 2.5.2 The Autocovariances Do Not Always Decrease 48 2.5.3 Explicit Computation of the Autocovariances of the Squares 48 2.6 Theoretical Predictions 50 2.7 Bibliographical Notes 54 2.8 Exercises 55 3 Mixing* 59 3.1 Markov Chains with Continuous State Space 59 3.2 Mixing Properties of GARCH Processes 64 3.3 Bibliographical Notes 71 3.4 Exercises 71 4 Alternative Models for the Conditional Variance 73 4.1 Stochastic Recurrence Equation (SRE) 74 4.2 Exponential GARCH Model 77 4.3 Log-GARCH Model 82 4.3.1 Stationarity of the Extended Log-GARCH Model 83 4.3.2 Existence of Moments and Log-Moments 86 4.3.3 Relations with the EGARCH Model 88 4.4 Threshold GARCH Model 90 4.5 Asymmetric Power GARCH Model 96 4.6 Other Asymmetric GARCH Models 98 4.7 A GARCH Model with Contemporaneous Conditional Asymmetry 99 4.8 Empirical Comparisons of Asymmetric GARCH Formulations 101 4.9 Models Incorporating External Information 109 4.10 Models Based on the Score: GAS and Beta-t-(E)GARCH 113 4.11 GARCH-type Models for Observations Other Than Returns 115 4.12 Complementary Bibliographical Notes 119 4.13 Exercises 120 Part II Statistical Inference 5 Identification 125 5.1 Autocorrelation Check for White Noise 125 5.1.1 Behaviour of the Sample Autocorrelations of a GARCH Process 126 5.1.2 Portmanteau Tests 128 5.1.3 Sample Partial Autocorrelations of a GARCH 129 5.1.4 Numerical Illustrations 129 5.2 Identifying the ARMA Orders of an ARMA-GARCH 132 5.2.1 Sample Autocorrelations of an ARMA-GARCH 132 5.2.2 Sample Autocorrelations of an ARMA-GARCH Process When the Noise is Not Symmetrically Distributed 136 5.2.3 Identifying the Orders (P, Q) 138 5.3 Identifying the GARCH Orders of an ARMA-GARCH Model 140 5.3.1 Corner Method in the GARCH Case 141 5.3.2 Applications 141 5.4 Lagrange Multiplier Test for Conditional Homoscedasticity 143 5.4.1 General Form of the LM Test 143 5.4.2 LM Test for Conditional Homoscedasticity 147 5.5 Application to Real Series 149 5.6 Bibliographical Notes 151 5.7 Exercises 158 6 Estimating ARCH Models by Least Squares 161 6.1 Estimation of ARCH(q) models by Ordinary Least Squares 161 6.2 Estimation of ARCH(q) Models by Feasible Generalised Least Squares 165 6.3 Estimation by Constrained Ordinary Least Squares 168 6.3.1 Properties of the Constrained OLS Estimator 169 6.3.2 Computation of the Constrained OLS Estimator 170 6.4 Bibliographical Notes 171 6.5 Exercises 171 7 Estimating GARCH Models by Quasi-Maximum Likelihood 175 7.1 Conditional Quasi-Likelihood 175 7.1.1 Asymptotic Properties of the QMLE 177 7.1.2 The ARCH(1) Case: Numerical Evaluation of the Asymptotic Variance 180 7.1.3 The Non-stationary ARCH(1) 181 7.2 Estimation of ARMA–GARCH Models by Quasi-Maximum Likelihood 183 7.3 Application to Real Data 187 7.4 Proofs of the Asymptotic Results* 188 7.5 Bibliographical Notes 211 7.6 Exercises 212 8 Tests Based on the Likelihood 217 8.1 Test of the Second-Order Stationarity Assumption 217 8.2 Asymptotic Distribution of the QML When 𝜃0 is at the Boundary 218 8.3 Significance of the GARCH Coefficients 226 8.3.1 Tests and Rejection Regions 226 8.3.2 Modification of the Standard Tests 227 8.3.3 Test for the Nullity of One Coefficient 228 8.3.4 Conditional Homoscedasticity Tests with ARCH Models 230 8.3.5 Asymptotic Comparison of the Tests 232 8.4 Diagnostic Checking with Portmanteau Tests 235 8.5 Application: Is the GARCH(1,1) Model Overrepresented? 235 8.6 Proofs of the Main Results* 238 8.7 Bibliographical Notes 245 8.8 Exercises 246 9 Optimal Inference and Alternatives to the QMLE* 249 9.1 Maximum Likelihood Estimator 249 9.1.1 Asymptotic Behaviour 250 9.1.2 One-Step Efficient Estimator 252 9.1.3 Semiparametric Models and Adaptive Estimators 254 9.1.4 Local Asymptotic Normality 256 9.2 Maximum Likelihood Estimator with Mis-specified Density 260 9.2.1 Condition for the Convergence of 𝜃n,h to 𝜃0 261 9.2.2 Convergence of 𝜃n,h and Interpretation of the Limit 262 9.2.3 Choice of Instrumental Density h 263 9.2.4 Asymptotic Distribution of 𝜃n,h 264 9.3 Alternative Estimation Methods 265 9.3.1 Weighted LSE for the ARMA Parameters 265 9.3.2 Self-Weighted QMLE 266 9.3.3 Lp Estimators 267 9.3.4 Least Absolute Value Estimation 267 9.3.5 Whittle Estimator 268 9.4 Bibliographical Notes 268 9.5 Exercises 269 Part III Extensions and Applications 10 Multivariate GARCH Processes 273 10.1 Multivariate Stationary Processes 273 10.2 Multivariate GARCH Models 275 10.2.1 Diagonal Model 276 10.2.2 Vector GARCH Model 276 10.2.3 Constant Conditional Correlations Models 279 10.2.4 Dynamic Conditional Correlations Models 280 10.2.5 BEKK-GARCH Model 281 10.2.6 Factor GARCH Models 284 10.2.7 Cholesky GARCH 286 10.3 Stationarity 287 10.3.1 Stationarity of VEC and BEKK Models 287 10.3.2 Stationarity of the CCC Model 289 10.3.3 Stationarity of DCC models 292 10.4 QML Estimation of General MGARCH 292 10.5 Estimation of the CCC Model 294 10.5.1 Identifiability Conditions 295 10.5.2 Asymptotic Properties of the QMLE of the CCC-GARCH model 297 10.6 Looking for Numerically Feasible Estimation Methods 299 10.6.1 Variance Targeting Estimation 299 10.6.2 Equation-by-Equation Estimation 300 10.7 Proofs of the Asymptotic Results 303 10.7.1 Proof of the CAN in Theorem 10.7 303 10.7.2 Proof of the CAN in Theorems 10.8 and 10.9 307 10.8 Bibliographical Notes 312 10.9 Exercises 313 11 Financial Applications 317 11.1 Relation Between GARCH and Continuous-Time Models 317 11.1.1 Some Properties of Stochastic Differential Equations 317 11.1.2 Convergence of Markov Chains to Diffusions 319 11.2 Option Pricing 324 11.2.1 Derivatives and Options 324 11.2.2 The Black–Scholes Approach 325 11.2.3 Historic Volatility and Implied Volatilities 326 11.2.4 Option Pricing when the Underlying Process is a GARCH 327 11.3 Value at Risk and Other Risk Measures 331 11.3.1 Value at Risk 332 11.3.2 Other Risk Measures 336 11.3.3 Estimation Methods 338 11.4 Bibliographical Notes 340 11.5 Exercises 342 12 Parameter-Driven Volatility Models 345 12.1 Stochastic Volatility Models 346 12.1.1 Definition of the Canonical SV Model 346 12.1.2 Stationarity 347 12.1.3 Autocovariance Structures 349 12.1.4 Extensions of the Canonical SV Model 350 12.1.5 Quasi-Maximum Likelihood Estimation 352 12.2 Markov Switching Volatility Models 353 12.2.1 Hidden Markov Models 353 12.2.2 MS-GARCH(p, q) Process 362 12.3 Bibliographical Notes 363 12.4 Exercises 365 A Ergodicity, Martingales, Mixing 367 A.1 Ergodicity 367 A.2 Martingale Increments 368 A.3 Mixing 371 A.3.1 α-Mixing and β-Mixing Coefficients 371 A.3.2 Covariance Inequality 373 A.3.3 Central Limit Theorem 375 B Autocorrelation and Partial Autocorrelation 377 B.1 Partial Autocorrelation 377 B.1.1 Computation Algorithm 378 B.1.2 Behaviour of the Empirical Partial Autocorrelation 379 B.2 Generalised Bartlett Formula for Non-linear Processes 382 C Markov Chains on Countable State Spaces 387 C.1 Definition of a Markov Chain 387 C.2 Transition Probabilities 388 C.3 Classification of States 388 C.4 Invariant Probability and Stationarity 389 C.5 Ergodic Results 390 C.6 Limit Distributions 390 C.7 Examples 391 D The Kalman Filter 393 D.1 General Form of the Kalman Filter 394 D.2 Prediction and Smoothing with the Kalman Filter 396 D.3 Kalman Filter in the Stationary Case 398 D.4 Statistical Inference with the Kalman Filter 399 E Solutions to the Exercises 401 References 467 Index 485
£90.20
Farrar, Straus and Giroux When Einstein Walked with Godel
Book SynopsisFrom Jim Holt, the New York Times bestselling author of Why Does the World Exist?, comes an entertaining and accessible guide to the most profound scientific and mathematical ideas of recent centuries in When Einstein Walked with Gödel: Excursions to the Edge of Thought.Does time exist? What is infinity? Why do mirrors reverse left and right but not up and down? In this scintillating collection, Holt explores the human mind, the cosmos, and the thinkers who've tried to encompass the latter with the former. With his trademark clarity and humor, Holt probes the mysteries of quantum mechanics, the quest for the foundations of mathematics, and the nature of logic and truth. Along the way, he offers intimate biographical sketches of celebrated and neglected thinkers, from the physicist Emmy Noether to the computing pioneer Alan Turing and the discoverer of fractals, Benoit Mandelbrot. Holt offers a painless and playful introductio
£17.00
Princeton University Press Finding Fibonacci
Book SynopsisTrade Review“[A] jaunty book.”—James Ryerson, New York Times Book Review“Devlin leads a cheerful pursuit to rediscover the hero of 13th-century European mathematics, taking readers across centuries and through the back streets of medieval and modern Italy in this entertaining and surprising history.”—Publishers Weekly“Finding Fibonacci showcases Devlin’s writerly flair.”—Davide Castelvecchi, Nature“[Devlin] talks his way into Italian research libraries in search of early manuscripts, photographs all 11 street signs on Via Leonardo Fibonacci in Florence and strives to cultivate a love for numbers in his readers.”—Andrea Marks, Scientific American“Engaging and entertaining.”—Library Journal“Personal and lively.”—Adhemar Bultheel, European Mathematical Society“Devlin’s enthusiasm for his subject is infectious.”—Tony Mann, Times Higher Education
£14.24
Springer New York An Introduction to Mathematical Finance with Applications
Book SynopsisMoreover, the text is useful for mathematicians, physicists, and engineers who want to learn finance via an approach that builds their financial intuition and is explicit about model building, as well as business school students who want a treatment of finance that is deeper but not overly theoretical.Trade Review“The book is thick with rich with applications and solid justifications of all concepts. … If you are a financial mathematics instructor, this book is for you. It progresses through easier topics to more advanced topics very well and is practical, meaningful, and more importantly, relevant to the 21st century financial student. … can be used as the one standard book for your class but can also be a springboard to research projects with your more advanced and curious students.” (Peter T. Olszewski, MAA Reviews, August, 2017)“This self-contained book is well organized and covers a broad range of classical topics of financial mathematics. A rich source of examples and exercises, the book is an ideal textbook for both undergraduate and graduate students that are interested in mathematical models in finance. The book can also be used for mathematically trained students and individuals in actuarial science to prepare for professional exams.” (Zhuo Jin, Mathematical Reviews, May, 2017)“The book is an undergraduate textbook in mathematical finance with applications. … The textbook is aimed at advanced undergraduates, and also at master's degree students who want a more rigorous treatment of the mathematical models in finance. This text will be a very good textbook for a year-long course on introductory mathematical finance.” (Anatoliy Swishchuk, zbMATH 1348.91002, 2016)Table of ContentsPreface.- 1. Preliminaries and Financial Markets.- 2. The Time Value of Money.- 3. Markowitz Portfolio Theory.- 4. Capital Market Theory and Portfolio Risk Measures.- 5. Binomial Trees and Security Pricing Modeling.- 6. Stochastic Calculus and Geometric Brownian Motion Model.- 7. Derivatives: Forwards, Futures, Swaps and Options.- 8. The BSM Model and European Option Pricing.- Index.
£33.74
Cambridge University Press New Spaces in Mathematics Volume 1
Book SynopsisAfter the development of manifolds and algebraic varieties in the previous century, mathematicians and physicists have continued to advance concepts of space. This book and its companion explore various new notions of space, including both formal and conceptual points of view, as presented by leading experts at the New Spaces in Mathematics and Physics workshop held at the Institut Henri Poincaré in 2015. The chapters in this volume cover a broad range of topics in mathematics, including diffeologies, synthetic differential geometry, microlocal analysis, topos theory, infinity-groupoids, homotopy type theory, category-theoretic methods in geometry, stacks, derived geometry, and noncommutative geometry. It is addressed primarily to mathematicians and mathematical physicists, but also to historians and philosophers of these disciplines.Trade Review'The essays are self-contained, providing motivation to read selectively. Examples in each chapter illustrate the usefulness of these new notions of space … Recommended.' M. Clay, Choice MagazineTable of ContentsIntroduction Mathieu Anel and Gabriel Catren; Part I. Differential geometry: 1. An Introduction to diffeology Patrick Iglesias-Zemmour; 2. New methods for old spaces: synthetic differential geometry Anders Kock; 3. Microlocal analysis and beyond Pierre Schapira; Part II. Topology and algebraic topology: 4. Topo-logie Mathieu Anel and André Joyal; 5. Spaces as infinity-groupoids Timothy Porter; 6. Homotopy type theory: the logic of space Michael Shulman; Part III. Algebraic geometry: 7. Sheaves and functors of points Michel Vaquié; 8. Stacks Nicole Mestrano and Carlos Simpson; 9. The geometry of ambiguity: an introduction to the ideas of derived geometry Mathieu Anel; 10. Geometry in dg categories Maxim Kontsevich.
£60.99
