Mathematics Books
Cambridge University Press Finite Packing and Covering
Finite Packing and Covering by Jr
£122.55
Cambridge University Press Torsors and Rational Points 144 Cambridge Tracts in Mathematics Series Number 144
Book SynopsisThis book, first published in 2001, is a detailed exposition, in a single volume, of both the theory and applications of torsors to rational points. It is demonstrated that torsors provide a unified approach to several branches of the theory which were hitherto developing in parallel.Trade Review'… the book provides an excellent account of the subject for the non-expert.' T. Szamuely, Zentralblatt für Mathematik'The book is written in a clear and lucid manner with detailed examples that balance the abstract theory with concrete facts. It is reasonably self-contained and can therefore be recommended to newcomers to the recent development of the descent'. EMSTable of Contents1. Introduction; 2. Torsors: general theory; 3. Examples of torsors; 4. Abelian torsors; 5. Obstructions over number fields; 6. Abelian descent and Manin obstruction; 7. Conic bundle surfaces; 8. Bielliptic surfaces; 9. Homogenous spaces.
£105.45
Cambridge University Press Linear Water Waves
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£133.95
Cambridge University Press Geometric Differentiation For the Intelligence of Curves and Surfaces
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£133.95
Cambridge University Press Inverse Problems in Atmospheric Constituent Transport
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£138.70
Cambridge University Press Introduction to Strings and Branes
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£60.79
Cambridge University Press Inside Out
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£122.55
Cambridge University Press Affine Hecke Algebras and Orthogonal Polynomials 157 Cambridge Tracts in Mathematics Series Number 157
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£107.35
Cambridge University Press Logic Induction and Sets 56 London Mathematical Society Student Texts Series Number 56
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£94.99
Cambridge University Press Directed Algebraic Topology Models of NonReversible Worlds 13 New Mathematical Monographs Series Number 13
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£105.45
Cambridge University Press A Sampler of RiemannFinsler Geometry
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£122.55
Cambridge University Press Essentials of Statistical Inference
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£75.04
Cambridge University Press Quantile Regression 38 Econometric Society Monographs
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£90.25
Cambridge University Press The Levy Laplacian
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£105.45
Cambridge University Press Linguistics and the Formal Sciences The Origins of Generative Grammar 110 Cambridge Studies in Linguistics Series Number 110
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£110.20
Cambridge University Press Statistical Principles for the Design of Experiments
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£84.54
Cambridge University Press Orbifolds and Stringy Topology 171 Cambridge
Book SynopsisAn introduction to the theory of orbifolds from a modern perspective, combining techniques from geometry, algebraic topology and algebraic geometry. The heart of the book is a detailed description of the Chen-Ruan cohomology, which introduces a product for orbifolds and has had significant impact.Table of ContentsIntroduction; 1. Foundations; 2. Cohomology, bundles and morphisms; 3. Orbifold K-theory; 4. Chen-Ruan cohomology; 5. Calculating Chen-Ruan cohomology; Bibliography; Index.
£105.45
Cambridge University Press Lagrangian Analysis and Prediction of Coastal and Ocean Dynamics
Lagrangian Analysis and Prediction of Coastal and | BookCurl
£74.10
Cambridge University Press Time Series Analysis for the Social Sciences
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£75.37
Cambridge University Press Analysis of Variance Designs A Conceptual and Computational Approach with SPSS and SAS
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£85.49
Cambridge University Press Logarithmic Forms and Diophantine Geometry 09 New Mathematical Monographs Series Number 9
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£105.45
Faber & Faber I is a Strange Loop
Book SynopsisAlone in a cube that's glowing in the darkness, X is content within its little universe of infinite thought. This solitude is disturbed by the appearance of Y, who insists on exposing X to the richness of the physical world. Each begins to long for what the other has, luring them into a strange loop.In this play for two variables, Marcus du Sautoy and Victoria Gould use mathematics and theatre to navigate the furthest reaches of our world. Through a series of surreal episodes, X and Y tackle some of life's greatest questions: where did the universe come from, does time have an end, do we have free will?I is a Strange Loop was first performed by the authors at the Barbican Pit, London, in March 2019.''I is a Strange Loop is a play that plays with ideas, concepts, abstractions and relationships that are, usually, hidden from the sight of ordinary mortals, articulating the ineffable, incarnating the incorporeal, revealing the inconceivable. It makeTrade Review'I is a Strange Loop is a play that plays with ideas, concepts, abstractions andrelationships that are, usually, hidden from the sight of ordinary mortals, articulatingthe ineffable, incarnating the incorporeal, revealing the inconceivable.It makes us feel we know a great deal more than we do. It is also very funny,utterly compelling and marvellously human.' - Simon McBurney'[An] ambitious and stimulating piece.' - Financial Times'Tackles what it means to be human at a time when advances in technologyand scientific research are hurtling forward with unprecedented speed.' - British Theatre Guide
£9.49
Princeton University Press A Theory of CrossSpaces
Book SynopsisThe description for this book, A Theory of Cross-Spaces. (AM-26), will be forthcoming.Table of Contents*Frontmatter, pg. i*Table of Contents, pg. v*Introduction, pg. 1*Notations and Conventions, pg. 16*Chapter I. The Algebra of Expressions, pg. 19*Chapter II. Crossnorms, pg. 25*Chapter III. Cross-Spaces of Operators, pg. 42*Chapter IV. Ideals of Operators, pg. 60*Chapter V. Crossed Unitary Spaces, pg. 65*Appendix I, pg. 134*Appendix II, pg. 148*References, pg. 151
£66.50
Princeton University Press Cosmology in 2 1 Dimensions Cyclic Models and
Book SynopsisDo there exist Lorentzian manifolds all of whose light-like geodesics are periodic? A surprising fact is that such manifolds exist in abundance in (2 + 1)-dimensions (though in higher dimensions they are quite rare). This book deals with the deformation theory of M2,1 (which furnishes almost all the known examples of these objects).Table of Contents*Frontmatter, pg. i*Contents, pg. v*Foreword, pg. 1*Part I. A relativistic approach to Zoll phenomena, pg. 16*Part II. The general theory of Zollfrei deformations, pg. 27*Part III. Zollfrei deformations of M2,1, pg. 53*Part IV. The generalized x-ray transform, pg. 98*Part V. The Floquet theory, pg. 189*Bibliography, pg. 223
£56.25
Princeton University Press Googles PageRank and Beyond The Science of
Book SynopsisWhy doesn't your home page appear on the first page of search results, even when you query your own name? How do other web pages always appear at the top? What creates these powerful rankings? And how? This book about the science of web page rankings supplies the answers to these and other questions.Trade ReviewHonorable Mention for the 2006 Award for Best Professional/Scholarly Book in Computer & Information Science, Association of American Publishers "[F]or anyone who wants to delve deeply into just how Google's PageRank works, I recommend Google's PageRank and Beyond."--Stephen H. Wildstrom, BusinessWeek "This is a worthwhile book. It offers a comprehensive and erudite presentation of PageRank and related search-engine algorithms, and it is written in an approachable way, given the mathematical foundations involved."--Jonathan Bowen, Times Higher Education Supplement "This book should be at the top of anyone's list as a must-read for those interested in how search engines work and, more specifically how Google is to meet the needs of so many people in so many ways."--Michael W. Berry, SIAM Review "Amy N. Langville and Carl D. Meyer examine the logic, mathematics, and sophistication behind Google's PageRank and other Internet search engine ranking programs... It is an excellent work."--Ian D. Gordon, Library Journal "If I were taking, or teaching, a course in linear algebra today, this book would be a godsend."--Ed Gerstner, Nature Physics "Langville and Meyer present the mathematics in all its detail... But they vary the math with discussions of the many issues involved in building search engines, the 'wars' between search engine developers and those trying to artificially inflate the position of their pages, and the future of search-engine development... Google's PageRank and Beyond makes good reading for anyone, student or professional, who wants to understand the details of search engines."--James Hendler, Physics Today "This book is written for people who are curious about new science and technology as well as for those with more advanced background in matrix theory... Much of the book can be easily followed by general readers, while understanding the remaining part requires only a good first course in linear algebra. It can be a reference book for people who want to know more about the ideas behind the currently popular search engines, and it provides an introductory text for beginning researchers in the area of information retrieval."--Jiu Ding, Mathemathical Reviews "The book is very attractively and clearly written. The authors succeed to manage in an optimal way the presentation of both basic and more sophisticated concepts involved in the analysis of Google's PageRank, such that the book serves both audiences: the general and the technical scientific public."--Constantin Popa, Zentralblatt MATH "The book under review is excellently written, with a fresh and engaging style. The reader will particularly enjoy the 'Asides' interspersed throughout the text. They contain all kind of entertaining stories, practical tips, and amusing quotes... The book also contains some useful resources for computation."--Pablo Fernandez, Mathematical Intelligencer "Google's PageRank and Beyond describes the link analysis tool called PageRank, puts it in the context of web search engines and information retrieval, and describes competing methods for ranking webpages. It is an utterly engaging book."--Bill Satzer, MathDL.maa.orgTable of ContentsPreface ix Chapter 1: Introduction to Web Search Engines 1 1.1 A Short History of Information Retrieval 1 1.2 An Overview of Traditional Information Retrieval 5 1.3 Web Information Retrieval 9 Chapter 2: Crawling, Indexing, and Query Processing 15 2.1 Crawling 15 2.2 The Content Index 19 2.3 Query Processing 21 Chapter 3: Ranking Webpages by Popularity 25 3.1 The Scene in 1998 25 3.2 Two Theses 26 3.3 Query-Independence 30 Chapter 4: The Mathematics of Google's PageRank 31 4.1 The Original Summation Formula for PageRank 32 4.2 Matrix Representation of the Summation Equations 33 4.3 Problems with the Iterative Process 34 4.4 A Little Markov Chain Theory 36 4.5 Early Adjustments to the Basic Model 36 4.6 Computation of the PageRank Vector 39 4.7 Theorem and Proof for Spectrum of the Google Matrix 45 Chapter 5: Parameters in the PageRank Model 47 5.1 The alpha Factor 47 5.2 The Hyperlink Matrix H 48 5.3 The Teleportation Matrix E 49 Chapter 6: The Sensitivity of PageRank 57 6.1 Sensitivity with respect to alpha 57 6.2 Sensitivity with respect to H 62 6.3 Sensitivity with respect to vT 63 6.4 Other Analyses of Sensitivity 63 6.5 Sensitivity Theorems and Proofs 66 Chapter 7: The PageRank Problem as a Linear System 71 7.1 Properties of (I -- alphaS) 71 7.2 Properties of (I -- alphaH) 72 7.3 Proof of the PageRank Sparse Linear System 73 Chapter 8: Issues in Large-Scale Implementation of PageRank 75 8.1 Storage Issues 75 8.2 Convergence Criterion 79 8.3 Accuracy 79 8.4 Dangling Nodes 80 8.5 Back Button Modeling 84 Chapter 9: Accelerating the Computation of PageRank 89 9.1 An Adaptive Power Method 89 9.2 Extrapolation 90 9.3 Aggregation 94 9.4 Other Numerical Methods 97 Chapter 10: Updating the PageRank Vector 99 10.1 The Two Updating Problems and their History 100 10.2 Restarting the Power Method 101 10.3 Approximate Updating Using Approximate Aggregation 102 10.4 Exact Aggregation 104 10.5 Exact vs. Approximate Aggregation 105 10.6 Updating with Iterative Aggregation 107 10.7 Determining the Partition 109 10.8 Conclusions 111 Chapter 11: The HITS Method for Ranking Webpages 115 11.1 The HITS Algorithm 115 11.2 HITS Implementation 117 11.3 HITS Convergence 119 11.4 HITS Example 120 11.5 Strengths and Weaknesses of HITS 122 11.6 HITS's Relationship to Bibliometrics 123 11.7 Query-Independent HITS 124 11.8 Accelerating HITS 126 11.9 HITS Sensitivity 126 Chapter 12: Other Link Methods for Ranking Webpages 131 12.1 SALSA 131 12.2 Hybrid Ranking Methods 135 12.3 Rankings based on Traffic Flow 136 Chapter 13: The Future of Web Information Retrieval 139 13.1 Spam 139 13.2 Personalization 142 13.3 Clustering 142 13.4 Intelligent Agents 143 13.5 Trends and Time-Sensitive Search 144 13.6 Privacy and Censorship 146 13.7 Library Classification Schemes 147 13.8 Data Fusion 148 Chapter 14: Resources for Web Information Retrieval 149 14.1 Resources for Getting Started 149 14.2 Resources for Serious Study 150 Chapter 15: The Mathematics Guide 153 15.1 Linear Algebra 153 15.2 Perron-Frobenius Theory 167 15.3 Markov Chains 175 15.4 Perron Complementation 186 15.5 Stochastic Complementation 192 15.6 Censoring 194 15.7 Aggregation 195 15.8 Disaggregation 198 Chapter 16: Glossary 201 Bibliography 207 Index 219
£999.99
Princeton University Press Some Problems of Unlikely Intersections in
Book SynopsisConsiders the so-called Unlikely Intersections, a topic that embraces well-known issues, such as Lang's and Manin-Mumford's, concerning torsion points in subvarieties of tori or abelian varieties. This book considers algebraic subgroups that meet a given subvariety in a set of unlikely dimension.Trade Review"Zannier's book is well written and a pleasure to read... [T]he author always makes an effort to point out key ideas and key steps, so a reader who wants to read and understand the complete proofs in this technically demanding field will find this monograph to be an extremely helpful entree into the subject... [T]he reviewer highly recommends Zannier's book as an excellent survey of and introduction to the important and hot topic of unlikely intersections in arithmetic geometry."--Joseph H. Silverman, Bulletin of the AMS "This book is indeed a great source of knowledge and inspiration for everybody interested in the unlikely intersection problems. The author must be commended for doing this job, and doing it so well."--Yuri Bilu, Mathematical Reviews ClippingsTable of Contents*FrontMatter, pg. i*Contents, pg. v*Preface, pg. ix*Notation and Conventions, pg. xi*Introduction: An Overview of Some Problems of Unlikely Intersections, pg. 1*Chapter 1: Unlikely Intersections in Multiplicative Groups and the Zilber Conjecture, pg. 15*Chapter 2: An Arithmetical Analogue, pg. 43*Chapter 3 Unlikely Intersections in Elliptic Surfaces and Problems of Masser, pg. 62*Chapter 4: About the Andre-Oort Conjecture, pg. 96*Appendix A: Distribution of Rational Points on Subanalytic Surfaces, pg. 128*Appendix B: Uniformity in Unlikely Intersections: An Example for Lines in Three Dimensions, pg. 136*Appendix C: Silverman's Bounded Height Theorem for Elliptic Curves: A Direct Proof, pg. 138*Appendix D: Lower Bounds for Degrees of Torsion Points: The Transcendence Approach, pg. 140*Appendix E: A Transcendence Measure for a Quotient of Periods, pg. 143*Appendix F: Counting Rational Points on Analytic Curves: A Transcendence Approach, pg. 145*Appendix G: Mixed Problems: Another Approach, pg. 147*Bibliography, pg. 149*Index, pg. 159
£180.00
Princeton University Press Scouting and Scoring
Book SynopsisTrade Review"Winner of a SABR Baseball Research Award, Society for American Baseball Research""Finalist for the CASEY Award for Best Baseball Book of the Year, Spitball Magazine"
£16.14
Princeton University Press Moduli Stacks of Étale GModules and the
Book Synopsis
£135.00
Princeton University Press Several Complex Variables
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£999.99
Princeton University Press Existence and Regularity of Minimal Surfaces on
Book SynopsisMathematical No/ex, 27 Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperTable of Contents*FrontMatter, pg. i*CONTENTS, pg. iv*INTRODUCTION, pg. 1*CHAPTER 1. NONTECHNICAL SYSTEMIC DESCRIPTION AND ILLUSTRATIVE EXAMPLES, pg. 12*CHAPTER 2. PRELIMINARIES, pg. 48*CHAPTER 3. ALMOST MINIMIZING VARIFOLDS, pg. 91*CHAPTER 4. EXISTENCE OF ALMOST MINIMIZING VARIFOLDS, pg. 138*CHAPTER 5. POINTWISE CURVATURE ESTIMATES FOR STABLE HYPERSURFACES, pg. 178*CHAPTER 6. DECOMPOSITION THEOREM FOR STABLE HYPERSURFACES, pg. 224*CHAPTER 7. REGULARITY, pg. 288*REFERENCES, pg. 327
£54.00
Princeton University Press Lectures on PseudoDifferential Operators
Table of Contents*Frontmatter, pg. i*Table of Contents, pg. iii*Introduction, pg. 1*Chapter I. Homogeneous Distributions, pg. 7*Chapter II. Basic Estimates for Pseudo Differential Operators, pg. 31*Chapter III. Further Regularity Theorems and Composition of Operators, pg. 76*Chapter IV. Applications, pg. 104*Appendix, pg. 144*References, pg. 156
£67.50
Schofield & Sims Ltd Number Book 4 of 5 Key Stage 1 Years 1 2
Book SynopsisAimed at the Key Stage 1 level, this workbook features many mathematical exercises providing practice in basic computational skills, including money. It covers such topics as Addition and Subtraction of numbers up to 100, Counting on, Division with 2s and 3s and Picture Problems.
£7.03
Schofield & Sims Ltd Mental Arithmetic Book 6 Answers Ages 711
Book SynopsisMental Arithmetic provides rich and varied practice to develop pupils' essential maths skills at Key Stage 2 and beyond. Mental Arithmetic 6 Answers contains answers to all the questions included in the Mental Arithmetic 6 pupil book.
£9.34
INSTITUTE OF CIVIL ENGINEERING Nec4 Professional Services Contract Bund
Book Synopsis
£265.00
Taylor & Francis Ltd Nonlinear Dynamics and Chaos
Book SynopsisNonlinear dynamics has been successful in explaining complicated phenomena in well-defined low-dimensional systems. Now it is time to focus on real-life problems that are high-dimensional or ill-defined, for example, due to delay, spatial extent, stochasticity, or the limited nature of available data. How can one understand the dynamics of such systems? Written by international experts, Nonlinear Dynamics and Chaos: Where Do We Go from Here? assesses what the future holds for dynamics and chaos. The chapters address one or more of the broad and interconnected main themes: neural and biological systems, spatially extended systems, and experimentation in the physical sciences. The contributors offer suggestions as to what they see as the way forward, often in the form of open questions for future research.Trade Review"This handsome volume is the proceedings of a conference held in Bristol in 2001, which had the aim of charting new directions for the exploration of nonlinear dynamical systems. The editors must be commended for their work: the individual chapters have been given a clean, uniform style that reflects a serious effort to present the volume as a unified book rather than a recollection of articles, with several cross-references between the chapters. The book is also remarkably free of typographical errors. I heartily recommend this collection to students looking for some direction (as long as they don't think this is all of nonlinear dynamics!)." -UK Nonlinear News, May 2003 "This timely and important book is a record of papers presented at a conference in Bristol and is very well edited, and produced … The very richness of this book, in both theory and real-world applications, makes it difficult to summarize and even more difficult to put down." -Nonlinear Dynamics, Psychology and Life Sciences "The book is written by authors who are champions of their field. All researchers in nonlinear dynamics should have access to this book. It is a valuable resource of references and it contains a lot of ideas and open problems in various fields. One might think of it as a catalogue of problems in nonlinear dynamics. The introduction of the book is a 'must-read.' It presents the nature and the philosophy of the book (and the symposium). Reading the introduction, the editors clearly have done a great job of managing each of the invited lecturers to translate the philosophy of the symposium into their lectures … my impression is that all authors did a good job presenting the excitement of their research and addressing the interesting questions. This book in general is a valuable addition to the literature of the theory and practice of nonlinear dynamics and chaos." -Theo Tuwankotta, Institute of Technology,ITB, Bandung, IndonesiaTable of ContentsPreface. Bifurcation and Degenerate Decomposition in Multiple Time Scale Dynamical Systems. Many-body quantum mechanics. Unfolding Complexity: Hereditory Dynamical Systems-New Bifurcation Schemes and High Dimensional Chaos. Creating stability out of instability.Signal or Noise? A nonlinear dynamics approach to spatiotemporal communication. Outstanding problems in the theory of pattern formation. Is Chaos relevant to Fluid Mechanics?. Time-Reversed Acoustics and Chaos.Reduction methods applied to nonlocally coupled oscillator systems. A prime number of prime questions about vortex dynamcis in nonlinear media. Spontaneous pattern formation in primary visual cortex. Models for Pattern Formation in Development. Spatiotemporal nonlinear dynamics: a new beginning. Author index.
£109.25
Institute of Physics Publishing Physics of the Lorentz Group Second Edition
Book SynopsisThis book explains the Lorentz mathematical group in alanguage familiar to physicists. This new edition extends applications tooptical sciences and includes five new chapters on applications in statisticalphysics, condensed matter physics. quantum optics and quantum information and artificialintelligence.
£102.00
John Wiley & Sons Before Copernicus The Cultures and Contexts of
Book SynopsisA multi-disciplinary approach to Copernicus’s momentous transformation from geocentric to heliocentric cosmology.Trade Review" Before Copernicus is of potentially great importance to the larger field of the history of fifteenth- and sixteenth-century science and the interaction between the Islamic and Western intellectual worlds. Although many books have been written about individual parts of this story no one has tried to put this all together before." Lesley Cormack, University of Alberta " These scholars are the best in their fields. Their essays are well-researched, up-to-date historiographically, and interestingly written. This volume could prove controversial, but by exposing the contested issues more clearly, it will greatly enhance th
£999.99
Springer Us Vector Bundles and Their Applications Mathematics
Book Synopsis1 Introduction to the Locally Trivial Bundles Theory.- 2 Homotopy Invariants of Vector Bundles.- 3 Geometric Constructions of Bundles.- 4 Calculation Methods in K-Theory.- 5 Elliptic Operators on Smooth Manifolds and K-Theory.- 6 Some Applications of Vector Bundle Theory.- References.Table of ContentsPreface. 1. Introduction to the Locally Trivial Bundles Theory. 2. Homotopy Invariants of Vector Bundles. 3. Geometric Constructions of Bundles. 4. Calculation Methods in K-Theory. 5. Elliptic Operators on Smooth Manifolds and K-Theory. 6. Some Applications of Vector Bundle Theory. Index. References.
£999.99
Johns Hopkins University Press James Joseph Sylvester
Book SynopsisShe highlights the human side of what many view as that most arcane and otherworldly of intellectual endeavors, mathematics, which indeed answers to such diverse factors as religion, ego, and depression.Trade ReviewA masterful biography. American Scientist 2006 An important and impressively documented contribution to the history of nineteenth-century mathematics. -- Craig G. Fraser Mathematical Reviews 2006 A thoroughly enjoyable read. -- J. W. Anderson The London Mathematical Society Newsletter 2006 This is an exceptional example of scholarly research. -- Gail Kaplan Convergence 2007 Parshall has already established herself as a leading expert on Sylvester and his milieu, carefully reconstructing the trajectory of Sylvester's professional life on the basis of copious documentary evidence, describing Sylvester's more important mathematical results in his career context, and writing for broad audiences with no detailed mathematical exposition or technical analysis of Sylvester's mathematics... Highly recommended. Choice 2007 A well-written and thorough account of its subject... a wealth of useful and well-researched information that is difficult to find elsewhere. -- Robin Wilson Historia Mathematica 2006 This well-written, thoroughly researched biography will become the definitive study of Sylvester. -- Jeremy Gray British Journal for the History of Science 2008Table of ContentsIntroduction: The Myth, the Mathematician, the ManChapter 1. Born to "the Faith in Which the Founder of Christianity Was Educated"Chapter 2. A Price of DissentChapter 3. The Hollow Walls of AcademeChapter 4. Actuary by Day...Mathematician by NightChapter 5. Into the Invariant-Theoretic UnknownChapter 6. A New BeginningChapter 7. At War with the MilitaryChapter 8. The Uneasy YearsChapter 9. Exploring Familiar Ground on Unfamiliar TerritoryChapter 10. Tackling New Challenges in a Home Away from HomeChapter 11. A Bittersweet VictoryChapter 12. The Final TransitionEpilogueNotesReferencesIndex
£59.85
Johns Hopkins University Press The Chinese Roots of Linear Algebra
Book SynopsisMathematicians and historians of mathematics and science will find in The Chinese Roots of Linear Algebra new ways to conceptualize the intellectual development of linear algebra.Trade ReviewA pivotal work in the history of non-Western mathematics that will revolutionize people's understanding of the origins of techniques previously viewed as Western inventions. Choice 2011Table of ContentsPreface1. IntroductionOverview of This BookHistoriographic IssuesOutline of the Chapters2. PreliminariesChinese ConventionsChinese MathematicsModern Mathematical Terminology3. The Sources: Written Records of Early Chinese MathematicsPractices and Texts in Early Chinese MathematicsThe Book of ComputationThe Nine Chapters on the Mathematical Arts4. Excess and DeficitExcess and Deficit Problems in the Book of Computation"Excess and Deficit," Chapter 7 of the Nine Chapters5. Fangcheng, Chapter 8 of the Nine ChaptersThe Fangcheng ProcedureProcedure for Positive and Negative NumbersConclusions6. The Fangcheng Procedure in Modern Mathematical TermsConspectus of Fangcheng Problems in the Nine ChaptersEliminationBack SubstitutionIs the Fangcheng Procedure Integer-Preserving?Conclusions7. The Well ProblemTraditional Solutions to the Well ProblemThe Earliest Extant Record of a Determinantal CalculationThe Earliest Extant Record of a Determinantal SolutionConclusions8. Evidence of Early Determinantal SolutionsThe Classification of ProblemsFive Problems from the Nine ChaptersConclusions9. ConclusionsThe Early History of Linear AlgebraQuestions for Further ResearchMethodological IssuesSignificance and ImplicationsAppendix A: Examples of Similar ProblemsExamples from Diophantus's ArithmeticaExamples from ModernWorks on Linear AlgebraAppendix B: Chinese Mathematical TreatisesBibliographies of Chinese Mathematical TreatisesMathematical Treatises Listed in Chinese BibliographiesAppendix C: Outlines of ProofsBibliography of Primary and Secondary SourcesIndex
£52.20
Johns Hopkins University Press Fast Car Physics
Book SynopsisFrom selecting shifting points to load transfer in car control and beyond, Fast Car Physics is the ideal source to consult before buckling up and cinching down the belts on your racing harness.Trade ReviewYou don't have to be an engineer to build a fast race car but that certainly helps. Fast Car Physics helps enthusiasts apply the knowledge they gained in high school and college physics courses to the operation and tuning of a track car. Best of all, he does it in a clear and easy-to-follow manner. Grassroots Motorsports 2011 Fans of fast wheels and science alike will get a charge from this look at motor sports. Science News 2011 If motor racing and physics are your thing, you will love this book -- Ken Zetie Physics Education 2011Table of ContentsPrefaceAcknowledgments1. Torque or Horsepower? Finding the Shift Points1.1. Acceleration and Newton's Second Law1.2. Velocity, Speed, Rotation, and Engine rpm1.3. The Car, Horsepower, and Torque1.4. Tire Markings1.5. Calculations1.6. First Gear, It's All Right. Second Gear . . .1.7. Summary2. Horsepower, 0 to 60 mph, and the Quarter Mile2.1. Horsepower2.2. How Does Drag Force Affect Shift Points?2.3. Gear Ratios2.4. Calculating 0 to 60 mph Times2.5. Assumptions and Results2.6. What Is the Limit for 0 to 60 mph?2.7. Aerodynamic Drag2.8. Correction Factors2.9. The Quarter Mile2.10. Flat Torque Curves2.11. Top Fuel Dragsters2.12. Summary3. Finding the Racing Line: Road Racing3.1. The Traction Circle3.2. Ninety Degree Right-Hand Turn3.3. General Turn3.4. Constructing a Track Model3.5. Types of Turns3.6. Type 1 Turn3.7. Type 2 Turn3.8. Type 3 Turn3.9. Turning While Speeding Up3.10. Summary4. Basic Vehicle Dynamics: Load Transfer and Tires4.1. Center of Gravity4.2. Longitudinal and Lateral Center of Gravity4.3. Height of the Center of Gravity4.4. Load Transfer and the Static Stability Factor4.5. Tires and Forces4.6. Tire Construction4.7. Wheels4.8. Tires under Static Load4.9. Tires under Dynamic Load4.10. Contact Patch Friction4.11. Material Properties and Testing4.12. Longitudinal Force and Longitudinal Slip4.13. Lateral Force and the Slip Angle4.14. Aligning Torque4.15. Summary5. Steering and Suspension5.1. More on Steering5.2. Bicycle Model: Oversteer and Understeer5.3. Wheel Alignment5.4. Suspension Basics5.5. Double A-arm or Wishbone Suspension5.6. MacPherson Strut Suspension5.7. NASCAR-Type Solid Rear Axle5.8. Springs and Dampers5.9. Shock Absorbers5.10. Lateral Load Transfer: Advanced Approach5.11. Correcting Handling Problems5.12. Understeer Correction5.13. Oversteer Correction5.14. Summary6. Green Racing6.1. What Is Green Racing?6.2. Regenerative Braking6.3. Mechanical Energy Storage: Flywheels6.4. Mechanical Energy Storage: Batteries6.5. Mechanical Energy Storage: Capacitors6.6. What Type of Hybrid Is It?6.7. Parallel Configuration Hybrid: Toyota Prius6.8. All-Electric Vehicles6.9. Fuel Cells6.10. Alternative Fuels6.11. SummaryConclusionGet Off the Streets and Go Racing!Suggested ReadingIndex
£59.85
John Wiley & Sons How Social and Emotional Development Add Up Getting Results in Math and Science Education
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£19.94
SPRINGER VERLAG GMBH Effective Methods in Algebraic Geometry
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£999.99
Birkhäuser Generalized Functions Theory And Applications
Book SynopsisPreface to the Third Edition.- Preface to the Second Edition.- Preface to the First Edition.- The Dirac Delta Function and Delta Sequences.- The Schwartz-Sobolev Theory of Distributions.- Additional Properties of Distributions.- Distributions Defined by Divergent Integrals.- Distributional Derivatives of Functions with Jump Discontinuities.- Tempered Distributions and the Fourier Transforms.- Direct Products and Convolutions of Distributions.- The Laplace Transform.- Applications to Ordinary Differential Equations.- Applications to Partial Differential Equations.- Applications to Boundary Value Problems.- Applications to Wave Propagation.- Interplay between Generalized Functions and the Theory of Moments.- Linear Systems.- Miscellaneous Topics.- References.- Index.Trade Review"This book on generalized functions is suitable for physicists, engineers and applied mathematicians. The author presents the notion of generalized functions, their properties and their applications for solving ordinary differential equations and partial differential equations. ... The author demonstrates through various examples that familiarity with generalized functions is very helpful for students in mathematics, physical sciences and technology. The proposed exercises are very good for better understanding of notions and properties presented in the chapters. The book contains new topics and important features." —Mathematica "The advantage of this text is in carefully gathered examples explaining how to use corresponding properties.... Even the standard material connecting with partial and ordinary differential equations is rewritten in modern terminology." —Zentralblatt (Review of a previous edition) "The author has done an excellent job in presenting examples and in displaying the calculational techniques associated with distributions and the applications. Throughout the book there are a wealth of examples concerning the distributional topics and caluclations introduced and concering the applications, and the examples are presented in detail." ---Zentralblatt (Review of the 1st edition) "The collaboration of physicists or engineers and mathematics, which is more and more popular and necessary in modern investigations, requires…a common language. The book under review provides this language…. [It] is a well written book, most of the material is accessible to senior undergraduate and graduate students in mathematical, physical and engineering sciences…. [The] book will [also] be useful…for specialists in ODEs, PDEs, functional analysis, [and] physicists, engineers, and lecturers." —Acta. Sci. Math. (Review of a previous edition) "An exceptionally clear exposition... The exercises at the end of each chapter are well-chosen." —The American Mathematical Monthly (Review of a previous edition) "This fully revised edition of well-received book expands the treatment of fundamental concepts and theoretical background material delineates connections to a variety of applications in mathematical physics, elasticity, wave propagation, magnetohydrodynamics, linear systems, probability and statistics, optical control problems in economics, and more. It has many new topics and [features] driven by additional examples and exercises. . . It presents a wealth of applications that connot be found in any other single source. the book will be important reading for graduate students in physics and engineering." --- Educational Book ReviewTable of ContentsPreface to the Third Edition * Preface to the Second Edition * Preface to the First Edition * Chapter 1. The Dirac Delta Function and Delta Sequences * 1.1 The Heaviside Function * 1.2 The Dirac Delta Function * 1.3 The Delta Sequences * 1.4 A Unit Dipole * 1.5 The Heaviside Sequences * Exercises * Chapter 2. The Schwartz-Sobolev Theory of Distributions * 2.1 Some Introductory Definitions * 2.2 Test Functions * 2.3 Linear Functionals and the Schwartz–Sobolev Theory of Distributions * 2.4 Examples * 2.5 Algebraic Operations on Distributions * 2.6 Analytic Operations on Distributions * 2.7 Examples * 2.8 The Support and Singular Support of a Distribution Exercises * Chapter 3. Additional Properties of Distributions * 3.1 Transformation Properties of the Delta Distributions * 3.2 Convergence of Distributions * 3.3 Delta Sequences with Parametric Dependence * 3.4 Fourier Series * 3.5 Examples * 3.6 The Delta Function as a Stieltjes Integral Exercises * Chapter 4. Distributions Defined by Divergent Integrals * 4.1 Introduction * 4.2 The Pseudofunction H(x)/x n , n = 1, 2,3, * 4.3 Functions with Algebraic Singularity of Order m * 4.4 Examples * Exercises * Chapter 5. Distributional Derivatives of Functions with Jump Discontinuities * 5.1 Distributional Derivatives in R 1 * 5.2 Moving Surfaces of Discontinuity in R n , n 2 * 5.3 Surface Distributions * 5.4 Various Other Representations * 5.5 First-Order Distributional Derivatives * 5.6 Second Order Distributional Derivatives * 5.7 Higher-Order Distributional Derivatives * 5.8 The Two-Dimensional Case * 5.9 Examples * 5.10 The Function Pf ( l/r ) and its Derivatives * Chapter 6. Tempered Distributions and the Fourier Transforms * 6.1 Preliminary Concepts * 6.2 Distributions of Slow Growth (Tempered Distributions) * 6.3 The Fourier Transform * 6.4 Examples * Exercises * Chapter 7. Direct Products and Convolutions of Distributions * 7.1 Definition of the Direct Product * 7.2 The Direct Product of Tempered Distributions * 7.3 The Fourier Transform of the Direct Product of Tempered Distributions * 7.4 The Convolution * 7.5 The Role of Convolution in the Regularization of the Distributions * 7.6 The Dual Spaces E and E' * 7.7 Examples * 7.8 The Fourier Transform of the Convolution * 7.9 Distributional Solutions of Integral Equations * Exercises * Chapter 8. The Laplace Transform * 8.1 A Brief Discussion of the Classical Results * 8.2 The Laplace Transform of the Distributions * 8.3 The Laplace Transform of the Distributional Derivatives and Vice Versa * 8.4 Examples * Exercises * Chapter 9. Applications to Ordinary Differential Equations * 9.1 Ordinary Differential Operators * 9.2 Homogeneous Differential Equations * 9.3 Inhomogeneous Differentational Equations: The Integral of a Distribution * 9.4 Examples * 9.5 Fundamental Solutions and Green's Functions * 9.6 Second Order Differential Equations with Constant Coefficients * 9.7 Eigenvalue Problems * 9.8 Second Order Differential Equations with Variable Coefficients * 9.9 Fourth Order Differential Equations * 9.10 Differential Equations of n th Order * 9.11 Ordinary Differential Equations with Singular Coefficients * Exercises * Chapter 10. Applications to Partial Differential Equations * 10.1 Introduction * 10.2 Classical and Generalized Solutions * 10.3 Fundamental Solutions * 10.4 The Cauchy–Riemann Operator * 10.5 The Transport Operator * 10.6 The Laplace Operator * 10.7 The Heat Operator * 10.8 The Schroedinger Operator * 10.9 The Helmholtz Operator * 10.10 The Wave Operator * 10.11 The Inhomogeneous Wave Equation * 10.12 The Klein–Gordon Operator * Exercises * Chapter 11. Applications to Boundary Value Problems * 11.1 Poisson's Equation * 11.2 Dumbbell-Shaped Bodies * 11.3 Uniform Axial Distributions * 11.4 Linear Axial Distributions * 11.5 Parabolic Axial Distributions * 11.6 The Four-Order Polynomial Distribution, n = 7; Spheroidal Cavities * 11.7 The Polarization Tensor for a Spheroid * 11.8 The Virtual Mass Tensor for a Spheroid * 11.9 The Electric and Magnetic Polarizability Tensors * 11.10 The Distributional Approach to Scattering Theory * 11.11 Stokes Flow * 11.12 Displacement-Type Boundary Value Problems in Elastostatics * 11.13 The Extension to Elastodynamics * 11.14 Distributions on Arbitrary Lines * 11.15 Distributions on Plane Curves * 11.16 Distributions on a Circular Disk * Chapter 12. Applications to Wave Propagation * 12.1 Introduction * 12.2 The Wave Equation * 12.3 First-Order Hyperbolic Systems * 12.4 Aerodynamic Sound Generation * 12.5 The Rankine–Hugoniot Conditions * 12.6 Wave Fronts That Carry Infinite Singularities * 12.7 Kinematics of Wave Fronts * 12.8 Derivation of the Transport Theorems for Wave Fronts * 12.9 Propagation of Wave Fronts Carrying Multilayer Densities * 12.10 Generalized Functions with Support on the Light Cone * 12.11 Examples * Chapter 13. Interplay Between Generalized Functions and the Theory of Moments * 13.1 The Theory of Moments * 13.2 Asymptotic Approximation of Integrals * 13.3 Applications to the Singular Perturbation Theory * 13.4 Applications to Number Theory * 13.5 Distributional Weight Functions for Orthogonal Polynomials * 13.6 Convolution Type Integral Equations Revisited * 13.7 Further Applications * Chapter 14. Linear Systems * 14.1 Operators * 14.2 The Step Response * 14.3 The Impulse Response * 14.4 The Response to an Arbitrary Input * 14.5 Generalized Functions as Impulse Response Functions * 14.6 The Transfer Function * 14.7 Discrete-Time Systems * 14.8 The Sampling Theorem * Chapter 15. Miscellaneous Topics * 15.1 Applications to Probability and Statistics * 15.2 Applications to Mathematical Economics * 15.3 Periodic Generalized Functions * 15.4 Microlocal Theory * References * Index
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Birkhauser Boston Representation Theory and Automorphic Forms
Book SynopsisThis volume uses a unified approach to representation theory and automorphic forms.Table of ContentsIntroduction.- Ramakrishnan, D.: Irreducibility and Cuspidality.-Ikeda, T.: On Liftings of Holomorphic Modular Forms.-Kobayashi, T.: Multiplicity-free Theorems of the Restrictions of Unitary Highest Weight Modules with respect to Reductive Symmetric Pairs.-Miller, S., Schmid, W.: The Rankin--Selberg Method for Automorphic Distributions.- Shahidi, F.: Langlands Functoriality Conjecture and Number Theory.- Yoshikawa, K.: Discriminant of certain K3 surfaces.- References.- Index.
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Taylor & Francis Inc Stochastic Processes and Functional Analysis
Book SynopsisShows the effectiveness of abstract analysis for solving fundamental problems of stochastic theory, specifically the use of functional analytic methods for elucidating stochastic processes.Trade Review"More than 20 original papers reflect Rao's broad scientific interests in probability, stochastic processes, Banach space theory, measure theory and (stochastic) differential equations. …The volume is completed with a biography and bibliography of M. M. Rao, a remarkable collection of personal reminiscences (written by his former students) adds a human dimension to this fine book."-EMS Newsletter, June 2005Table of ContentsBiography of M. M. Rao, Published Writings of M. M. Rao, Ph.D. Theses Completed Under the Direction of M. M. Rao, Contributors, For M. M. Rao, An Appreciation of My Teacher, M. M. Rao, 1001 Words About Rao, A Guide to Life, Mathematical and Otherwise, Rao and the Early Riverside Years, On M. M. Rao, Reflections on M. M. Rao, 1: Stochastic Analysis and Function Spaces, 2: Applications of Sinkhorn Balancing to Counting Problems, 3: Zakai Equation of Nonlinear Filtering with Ornstein-Uhlenbeck Noise: Existence and Uniqueness, 4: Hyperfunctionals and Generalized Distributions, 5: Process-Measures and Their Stochastic Integral, 6: Invariant Sets for Nonlinear Operators, 7: The Immigration-Emigration with Catastrophe Model, 8: Approximating Scale Mixtures, 9: Cyclostationary Arrays: Their Unitary Operators and Representations, 10: Operator Theoretic Review for Information Channels, 11: Pseudoergodicity in Information Channels, 12: Connections Between Birth-Death Processes, 13: Integrated Gaussian Processes and Their Reproducing Kernel Hilbert Spaces, 14: Moving Average Representation and Prediction for Multidimensional Harmonizable Processes, 15: Double-Level Averaging on a Stratified Space, 16: The Problem of Optimal Asset Allocation with Stable Distributed Returns, 17: Computations for Nonsquare Constants of Orlicz Spaces, 18: Asymptotically Stationary and Related Processes, 19: Superlinearity and Weighted Sobolev Spaces, 20: Doubly Stochastic Operators and the History of Birkhoff s Problem 111, 21: Classes of Harmonizable Isotropic Random Fields, 22: On Geographically-Uniform Coevolution: Local Adaptation in Non-fluctuating Spatial Patterns, 23: Approximating the Time Delay in Coupled van der Pol Oscillators with Delay Coupling
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Taylor & Francis Ltd (Sales) Handbook of Applied Cryptography
Book SynopsisCryptography, in particular public-key cryptography, has emerged in the last 20 years as an important discipline that is not only the subject of an enormous amount of research, but provides the foundation for information security in many applications. Standards are emerging to meet the demands for cryptographic protection in most areas of data communications. Public-key cryptographic techniques are now in widespread use, especially in the financial services industry, in the public sector, and by individuals for their personal privacy, such as in electronic mail. This Handbook will serve as a valuable reference for the novice as well as for the expert who needs a wider scope of coverage within the area of cryptography. It is a necessary and timely guide for professionals who practice the art of cryptography. The Handbook of Applied Cryptography provides a treatment that is multifunctional:It serves as an introduction to the more practical aspects of both conventionalTrade Review"…very well suited for the reader who wants an encyclopedic description of the state of the art of applied modern cryptography."-Mathematical Reviews, Issue 99g "[This book] is an incredible achievement. … [T]he handbook is complete. If I want to check what problems there were with a proposed system, determine how the variations on a particular algorithm developed, see what research preceded and followed an idea, I go to the Handbook. The Handbook has accurate, clear, and correct information. It is wonderful. … If I were limited to only one cryptography text on my shelves, it would be the Handbook of Applied Cryptography." - Bulletin of the AMS Table of ContentsForeword by Ronald L. Rivest Overview of Cryptography Introduction Information security and cryptography Background on functions Functions(1-1, one-way, trapdoor one-way) Permutations Involutions Basic terminology and concepts Symmetric-key encryption Overview of block ciphers and stream ciphers Substitution ciphers and transposition ciphers Composition of ciphers Stream ciphers The key space Digital signatures Authentication and identification Identification Data origin authentication Public-key cryptography Public-key encryption The necessity of authentication in public-key systems Digital signatures from reversible public-key encryption Symmetric-key versus public-key cryptography Hash functions Protocols and mechanisms Key establishment, management, and certification Key management through symmetric-key techniques Key management through public-key techniques Trusted third parties and public-key certificates Pseudorandom numbers and sequences Classes of attacks and security models Attacks on encryption schemes Attacks on protocols Models for evaluating security Perspective for computational security Notes and further references Mathematical Background Probability theory Basic definitions Conditional probability Random variables Binomial distribution Birthday attacks Random mappings Information theory Entropy Mutual information Complexity theory Basic definitions Asymptotic notation Complexity classes Randomized algorithms Number theory The integers Algorithms in Z The integers modulo n Algorithms in Zn The Legendre and Jacobi symbols Blum integers Abstract algebra Groups Rings Fields Polynomial rings Vector spaces Finite fields Basic properties The Euclidean algorithm for polynomials Arithmetic of polynomials N
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