Mathematics Books

Book SynopsisCore Maths for the Biosciences introduces the range of mathematical concepts that bioscience students need to master during thier studies. Starting from fundamental concepts, it blends clear explanations and biological examples throughout as it equips the reader with the full range of mathematical tools required by biologists today.Trade ReviewExactly the sort of thing that will be helpful in showing those with biological problems how mathematics can be very useful - and that what is really important is maintaining an intuitive understanding between the mathematics - which is essentially no more, but no less, than a way of thinking very precisely - and the actual phenomena they are dealing with...Very fine indeed. * Professor Lord May of Oxford, Department of Zoology, University of Oxford *Fantastic. Easy to understand, interactive, biologically relevant and dictated in a way that seemed as though you are almost having a conversation with the author. * James Sleigh, Student, University of Oxford *Coherent and clear. The best I have seen this kind of material treated. * Stephen Hubbard, University of Dundee *This book is by far the best of its kind, a spectacular diamond in the rough. * Helen Smith, student, University of Salford *The interactive spreadsheets are a work of genius. * Stuart Fisk, student, University of Essex *Table of ContentsPART 1: ARITHMETIC, ALGEBRA & FUNCTIONS; PART 2: CALCULUS AND DIFFERENTIAL EQUATIONS

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Book SynopsisCategory theory is a branch of abstract algebra with incredibly diverse applications. This text and reference book is aimed not only at mathematicians, but also researchers and students of computer science, logic, linguistics, cognitive science, philosophy, and any of the other fields in which the ideas are being applied. Containing clear definitions of the essential concepts, illuminated with numerous accessible examples, and providing full proofs of all important propositions and theorems, this book aims to make the basic ideas, theorems, and methods of category theory understandable to this broad readership. Although assuming few mathematical pre-requisites, the standard of mathematical rigour is not compromised. The material covered includes the standard core of categories; functors; natural transformations; equivalence; limits and colimits; functor categories; representables; Yoneda''s lemma; adjoints; monads. An extra topic of cartesian closed categories and the lambda-calculus is also provided - a must for computer scientists, logicians and linguists!This Second Edition contains numerous revisions to the original text, including expanding the exposition, revising and elaborating the proofs, providing additional diagrams, correcting typographical errors and, finally, adding an entirely new section on monoidal categories. Nearly a hundred new exercises have also been added, many with solutions, to make the book more useful as a course text and for self-study.Trade ReviewThe book is well organised and very well written. The presentation of the material is from the concrete to the abstract, proofs are worked out in detail and the examples and the exercises spread throughout the text mark a pleasant rhythm for its reading. In all, Awodey's Category Theory is a very nice and recommendable introduction to the subject. * Pere Pascual, EMS Newsletter *Table of ContentsPreface ; 1. Categories ; 2. Abstract Structures ; 3. Duality ; 4. Groups and Categories ; 5. Limits and Colimits ; 6. Exponentials ; 7. Naturality ; 8. Categories of Diagrams ; 9. Adjoints ; 10. Monads and Algrebras ; References ; Solutions to Selected Exercises ; Index

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Book SynopsisMathematical Techniques provides a complete course in mathematics, covering all the essential topics with which a physical sciences or engineering student should be familiar. It introduces and builds on concepts in a progressive, carefully-layered way, and features over 2000 end of chapter problems, plus additional self-check questions.Trade ReviewReview from previous edition This textbook offers an accessible and comprehensive grounding in many of the mathematical techniques required in the early stages of an engineering or science degree and also for the routine methods needed by first and second year mathematics students. * Engineering Designer March/April 2003 *There are also significant changes in content in the opening chapter, where the foundation material has been expanded usefully. The authors do not attempt to dodge theoretical hurdles. They are careful to explain many of the less intuitive properties of functions and to highlight generalisations without becoming over abstract. * Times Higher Education Supplement, November 2002 *Thoroughly recommended. * Zentralblatt MATH, 993:2002 *Table of ContentsPART 1. ELEMENTARY METHODS, DIFFERENTIATION, COMPLEX NUMBERS; PART 2. MATRIX AND VECTOR ALGEBRA; PART 3. INTEGRATION AND DIFFERENTIAL EQUATIONS; PART 4. TRANSFORMS AND FOURIER SERIES; PART 5. MULTIVARIABLE CALCULUS; PART 6. DISCRETE MATHEMATICS; PART 7. PROBABILITY AND STATISTICS; PART 8. PROJECTS; SELF-TESTS: SELECTED ANSWERS; ANSWERS TO SELECTED PROBLEMS; APPENDICES; FURTHER READING; INDEX

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Book SynopsisThis short guide to modern error analysis is primarily intended to be used in undergraduate laboratories in the physical sciences. No prior knowledge of statistics is assumed. The necessary concepts are introduced where needed and illustrated graphically. The book emphasises the use of computers for error calculations and data fitting.Trade ReviewWith the shift from analytic methods to spreadsheet-based techniques, this book will enable students simultaneously to (a) become fluent in the choice and application of appropriate methods (b) understand the underlying principles. * David Saxon, University of Glasgow *This is a rather beautiful little book. * David J. Hand, International Statistical Review *Table of Contents1. Errors in the physical sciences ; 2. Random errors in measurement ; 3. Uncertainties as probabilities ; 4. Error propagation ; 5. Data visualisation and reduction ; 6. Least-squares fitting of complex functions ; 7. Computer minimisation and the error matrix ; 8. Hypothesis testing - how good are our models ; 9. Topics for further summary

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Book SynopsisInternational research is used to inform teachers and others about how students learn key ideas in higher school mathematics, what the common problems are, and the strengths and pitfalls of different teaching approaches. An associated website, hosted by the Nuffield Foundation, gives summaries of main ideas and access to sample classroom tasks.Trade ReviewI cannot commend this book highly enough. It is an essential addition to any mathematics educator's library. As a teacher educator I know I will refer to it frequently with both beginning teachers and experienced teachers. * Sue Pope, Mathematics Today *This is likely to be a source of inspiration for teachers and researchers for many years to come. The book is informed by a wealth of research evidence which is fully referenced. * Sue Pope, Mathematics Today *This combination of book and website is a great resource for any department looking to develop its teaching by addressing the key ideas in school mathematics based on research evidence. * Total Maths *This is a most impressive book that offers detailed advice on the teaching of mathematics in the secondary sector. * Mark Pepper, Association of Maths Teachers *Table of Contents1. Introduction to key ideas in teaching mathematics ; 2. Relations between quantities and algebraic expressions ; 3. Ratio and proportional reasoning ; 4. Connecting measurement and decimals ; 5. Spatial and geometrical reasoning ; 6. Reasoning about data ; 7. Reasoning about uncertainty ; 8. Functional relations between variables ; 9. Moving to mathematics beyond age 16

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Book SynopsisGuides you through the basics of primary school maths and covers the dilemmas and problems you are likely to be confronted with, including: number bonds, place value and decimals; long multiplication and division; fractions, percentages and decimals; basic geometry, shapes, symmetry and angles; and data-handling, combinations and chance.Trade ReviewSometimes you come across a book which makes you happy. Recently, I did just that... [Maths for Mums and Dads] is brilliant, and exactly what far too many parents (including myself) need -- Sarah Ebner * The Times *A useful guide through the basics of primary school maths, covering problems you are likely to be confronted with -- Natasha Harding * Sun *This book is an absolute triumph. Given the authors' reputations, I would expect nothing less -- Liz Woodham * Primary Maths Journal *This book will take the terror out of maths for all the generations -- Joanna TrollopeThis delightful little book is perfect for parents who want to understand the different methods to do arithmetic their children are learning - and why they are being taught that way. The authors' easy going style and humor should help ease the path for parents for whom mathematics brings feelings of dread -- Keith Devlin, Stanford University, author of 'The Math Gene' and 'Mathematics Education for a New Era: Video Games as a Medium for Learning'

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Book SynopsisTrade Review“Mathematics has undergone tremendous changes, especially during the twentieth century, when it pushed ever deeper into the realm of abstraction. This upheaval even involved a redefinition of the definition itself, as Steingart explains in Axiomatics. A historian of science, Steingart sees this revolution as central to the modernist movements that dominated the mid-twentieth century in the arts and social sciences, particularly in the United States.” * Nature *“Steingart provides a history of mathematical thinking over the twentieth century: a compelling review of the increased abstraction of mathematical thought as well as its embrace of deep exploration of alternative axiomatic systems.” * Public Books *“Steingart takes a wide-angle view on mid-twentieth-century mathematics, connecting the axiomatic movement with high abstraction in modern art, structuralism in the social sciences, the New Criticism in literary criticism, and the deep unease felt by many scientists and mathematicians in the wake of World War II as their research became ever more entangled with military applications. Unfailingly lucid and alert to sympathetic resonances between apparently disparate realms, Steingart positions modern mathematics squarely in the center of high modernism.” -- Lorraine Daston, author of Rules: A Short History of What We Live By“This sophisticated and wide-ranging book examines mid-century American mathematics as a species of high modernism, both in its pure form and in applied mathematics. It looks at how it was supported, why it was advocated, how and why it was compared to contemporary abstract art, how the evolving ideas of abstraction played out in the Cold War, and how this even affected the writing of the history of mathematics. It is a major addition to and critique of the literature that presents modern mathematics as a species of modernism, and it should be read by every historian of modern science and indeed by anyone interested in how abstract ideas have shaped the modern world.” -- Jeremy Gray, author of Plato’s Ghost: The Modernist Transformation of Mathematics“American mathematics was in the midst of a puzzling contradiction at midcentury: applied mathematics appeared triumphant even as many mathematicians promoted abstraction and rejected the idea that utility was important. Steingart’s brilliant book has finally resolved this puzzle. Far from standing in opposition, mathematics’ utility and idealism, its calculations and foundations, were historically intertwined with the concept of axiomatics. By masterfully weaving together the work of artists and mathematicians, mundane academic conference proceedings and philosophical treatises, Steingart has written an essential guide to the transformation of postwar mathematics.” -- Christopher J. Phillips, author of The New Math: A Political History“The push for axiomatic reasoning, so central to twentieth-century mathematics, extended by 1950 to elite social science. But the power of this abstract logic, never absolute, was in retreat by the 1990s. Although the most familiar of these challenges took form as a new cult of data, Steingart’s most engaging arguments explore a new fascination with mathematical historicism.” -- Theodore M. Porter, author of Trust in Numbers: The Pursuit of Objectivity in Science and Public Life"Alma Steingart’s Axiomatics: Mathematical Thought and High Modernism is an attempt to combine the story of abstraction with developments outside of mathematics. . . . she presents this material from a very interesting and well-informed perspective." * American Mathematical Monthly *Table of ContentsNote to Readers Introduction 1. Pure Abstraction: Mathematics as Modernism 2. Applied Abstraction: Axiomatics and the Meaning of Mathematization 3. Human Abstraction: “The Mathematics of Man” and Midcentury Social Sciences 4. Creative Abstraction: Abstract Art, Pure Mathematics, and Cold War Ideology 5. Unreasonable Abstraction: The Meaning of Applicability, or the Miseducation of the Applied Mathematician 6. Historical Abstraction: Kuhn, Skinner, and the Problem of the Weekday Platonist Epilogue Acknowledgments Archival Collections Notes Index

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Book SynopsisA comprehensive and self-contained introduction to Gaussian processes, which provide a principled, practical, probabilistic approach to learning in kernel machines.Gaussian processes (GPs) provide a principled, practical, probabilistic approach to learning in kernel machines. GPs have received increased attention in the machine-learning community over the past decade, and this book provides a long-needed systematic and unified treatment of theoretical and practical aspects of GPs in machine learning. The treatment is comprehensive and self-contained, targeted at researchers and students in machine learning and applied statistics. The book deals with the supervised-learning problem for both regression and classification, and includes detailed algorithms. A wide variety of covariance (kernel) functions are presented and their properties discussed. Model selection is discussed both from a Bayesian and a classical perspective. Many connections to other well-known techniques from

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Book SynopsisThe Pulitzer Prize–winning magazine’s stories of mathematical explorations show that inspiration strikes haphazardly, revealing surprising solutions and exciting discoveries—with a foreword by James GleickThese stories from Quanta Magazine map the routes of mathematical exploration, showing readers how cutting-edge research is done, while illuminating the productive tension between conjecture and proof, theory and intuition. The stories show that, as James Gleick puts it in the foreword, “inspiration strikes willy-nilly.” One researcher thinks of quantum chaotic systems at a bus stop; another suddenly realizes a path to proving a theorem of number theory while in a friend's backyard; a statistician has a “bathroom sink epiphany” and discovers the key to solving the Gaussian correlation inequality. Readers of The Prime Number Conspiracy, says Quanta editor-in-chief Thomas Lin, are headed on &ldq

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Book SynopsisDr Andrew Mayers is Senior Lecturer in Psychology at Bournemouth UniversityTrade Review"This is a comprehensive resource of all the statistics you could ever want for degree level Psychology" - Neil Cruickshank, Budmouth College, Weymouth "Definitely my go-to statistics textbook, the perfect guide for all levels of undergraduate" - Psychology student, University of Glasgow "This book provides clear and comprehensive coverage of a wide range of statistical tests used in psychology. It will be of great value to novice and advanced researchers alike." - Dr Richard rowe, University of Sheffield "This engaging and student-centred book demystifies the challenges of statistics and SPSS for the numerically anxious student." - Dr Kate Bullen, Aberystwyth University Table of Contents1. Introduction 2. SPSS: The Basics 3. Normal Distribution 4. Significance, effect size, and power 5. Experimental methods - how to choose the correct statistical test 6. Correlation 7. Independent t-test 8. Related t-test 9. Independent one-way ANOVA 10. Repeated-measures one-way ANOVA 11. Independent multi-factorial ANOVA 12. Repeated-measures multi-factorial ANOVA 13. Mixed multi-factorial ANOVA 14. Multivariate analyses 15. Analyses of covariance 16. Linear and multiple linear regression 17. Logistic regression 18. Non-parametric tests 19. Tests for categorical variables 20. Factor analysis 21. Reliability analysis

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Book SynopsisIntuitionistic logic is presented here as part of familiar classical logic which allows mechanical extraction of programs from proofs.Trade Review`This is the most welcome addition to the literature on intuitionistic logic, providing a substantial reference of value comparable to that of better established references for classical mathematical logic. The development of Mints' book is natural, elegant and accessible, with a minimum of fuss but no lack of attention to important detail. Overall, the book is an excellent addition to the literature.' Mathematical Reviews, 2002bTable of ContentsIntroduction. I: Intuitionistic Propositional Logic. 1. Preliminaries. 2. Natural Deduction for Propositional Logic. 3. Negative Translation: Glivenko's Theorem. 4. Program Interpretation of Intuitionistic Logic. 5. Computations with Deductions. 6. Coherence Theorem. 7. Kripke Models. 8. Gentzen-type Propositional System LJpm. 9. Topological Completeness. 10. Proof-Search. 11. System LJpm. 12. Interpolation Theorem. II: Intuitionistic Predicate Logic. 13. Natural Deduction System NJ. 14. Kripke Models for Predicate Logic. 15. Systems LJm, LJ. 16. Proof-Search in Predicate Logic. References. Index.

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Book SynopsisIn MATH WITH BAD DRAWINGS, Ben Orlin answers math''s three big questions: Why do I need to learn this? When am I ever going to use it? Why is it so hard? The answers come in various forms-cartoons, drawings, jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Eschewing the tired old curriculum that begins in the wading pool of addition and subtraction and progresses to the shark infested waters of calculus (AKA the Great Weed Out Course), Orlin instead shows us how to think like a mathematician by teaching us a new game of Tic-Tac-Toe, how to understand an economic crisis by rolling a pair of dice, and the mathematical reason why you should never buy a second lottery ticket. Every example in the book is illustrated with his trademark bad drawings, which convey both his humor and his message with perfect pitch and clarity. Organized by unconventional but compelling topics such as Statistics: The Fine Art of Honest Lying, Design: The Geometry of Stuff That Works, and Probability: The Mathematics of Maybe, MATH WITH BAD DRAWINGS is a perfect read for fans of illustrated popular science.

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Book SynopsisBy spinning 28 engaging mathematical tales, Orlin shows us that calculus is simply another language to express the very things we humans grapple with every day - love, risk, time and, most importantly, change. Divided into two parts, Moments and Eternities, and drawing on everyone from Sherlock Holmes to Mark Twain to David Foster Wallace, Change is the Only Constant unearths connections between calculus, art, literature and a beloved dog named Elvis. This is not just maths for maths'' sake; it''s maths for the sake of becoming a wiser and more thoughtful human.

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Book SynopsisTable of Contents1. Introduction to Neutrosophic Probability 2. Introduction to Neutrosophic Statistics 3. Applications Applications of Neutrosophic Statistics to Medicine Applications of Neutrosophic Statistics to Cognitive Data Applications of Neutrosophic Statistics to Bioinformatics

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Book SynopsisWith a long history of innovation in the market, Larson/Edwards' Calculus, International Metric Edition has been widely praised by a generation of students and professors for solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. This edition clearly presents and effectively demonstrates the concepts and rules of calculus with a student-focused approach. It offers a wealth of learning support and digital resources all thoroughly updated and refined using proven learning design principles that remove typical barriers to learning to create a carefully planned, inclusive experience for all students.Table of ContentsP. PREPARATION FOR CALCULUS Graphs and Models. Linear Models and Rates of Change. Functions and Their Graphs. Review of Trigonometric Functions. Review Exercises. P.S. Problem Solving. 1. LIMITS AND THEIR PROPERTIES A Preview of Calculus. Finding Limits Graphically and Numerically. Evaluating Limits Analytically. Continuity and One-Sided Limits. Infinite Limits. Section Project: Graphs and Limits of Trigonometric Functions. Review Exercises. P.S. Problem Solving. 2. DIFFERENTIATION The Derivative and the Tangent Line Problem. Basic Differentiation Rules and Rates of Change. Product and Quotient Rules and Higher-Order Derivatives. The Chain Rule. Implicit Differentiation. Section Project: Optical Illusions. Related Rates. Review Exercises. P.S. Problem Solving. 3. APPLICATIONS OF DIFFERENTIATION Extrema on an Interval. Rolle's Theorem and the Mean Value Theorem. Increasing and Decreasing Functions and the First Derivative Test. Section Project: Even Fourth-Degree Polynomials. Concavity and the Second Derivative Test. Limits at Infinity. A Summary of Curve Sketching. Optimization Problems. Section Project: Minimum Time. Newton's Method. Differentials. Review Exercises. P.S. Problem Solving. 4. INTEGRATION Antiderivatives and Indefinite Integration. Area. Riemann Sums and Definite Integrals. The Fundamental Theorem of Calculus. Section Project: Demonstrating the Fundamental Theorem. Integration by Substitution. Review Exercises. P.S. Problem Solving. 5. LOGARITHMIC, EXPONENTIAL, AND OTHER TRANSCENDENTAL FUNCTIONS The Natural Logarithmic Function: Differentiation. The Natural Logarithmic Function: Integration. Inverse Functions. Exponential Functions: Differentiation and Integration. Bases Other than e and Applications. Section Project: Using Graphing Utilities to Estimate Slope. Indeterminate Forms and L���Hopital���s Rule. Inverse Trigonometric Functions: Differentiation. Inverse Trigonometric Functions: Integration. Hyperbolic Functions. Section Project: Mercator Map. Review Exercises. P.S. Problem Solving. 6. DIFFERENTIAL EQUATIONS Slope Fields and Euler's Method. Growth and Decay. Separation of Variables and the Logistic Equation. First-Order Linear Differential Equations. Section Project: Weight Loss. Review Exercises. P.S. Problem Solving. 7. APPLICATIONS OF INTEGRATION Area of a Region Between Two Curves. Volume: The Disk Method. Volume: The Shell Method. Section Project: Saturn. Arc Length and Surfaces of Revolution. Work. Section Project: Pyramid of Khufu. Moments, Centers of Mass, and Centroids. Fluid Pressure and Fluid Force. Review Exercises. P.S. Problem Solving. 8. INTEGRATION TECHNIQUES AND IMPROPER INTEGRALS Basic Integration Rules. Integration by Parts. Trigonometric Integrals. Section Project: The Wallis Product. Trigonometric Substitution. Partial Fractions. Numerical Integration. Integration by Tables and Other Integration Techniques. Improper Integrals. Review Exercises. P.S. Problem Solving. 9. INFINITE SERIES Sequences. Series and Convergence. Section Project: Cantor's Disappearing Table. The Integral Test and p-Series. Section Project: The Harmonic Series. Comparisons of Series. Alternating Series. The Ratio and Root Tests. Taylor Polynomials and Approximations. Power Series. Representation of Functions by Power Series. Taylor and Maclaurin Series. Review Exercises. P.S. Problem Solving. 10. CONICS, PARAMETRIC EQUATIONS, AND POLAR COORDINATES Conics and Calculus. Plane Curves and Parametric Equations. Section Project: Cycloids. Parametric Equations and Calculus. Polar Coordinates and Polar Graphs. Section Project: Cassini Oval. Area and Arc Length in Polar Coordinates. Polar Equations of Conics and Kepler's Laws. Review Exercises. P.S. Problem Solving. 11. VECTORS AND THE GEOMETRY OF SPACE Vectors in the Plane. Space Coordinates and Vectors in Space. The Dot Product of Two Vectors. The Cross Product of Two Vectors in Space. Lines and Planes in Space. Section Project: Distances in Space. Surfaces in Space. Cylindrical and Spherical Coordinates. Review Exercises. P.S. Problem Solving. 12. VECTOR-VALUED FUNCTIONS Vector-Valued Functions. Section Project: Witch of Agnesi. Differentiation and Integration of Vector-Valued Functions. Velocity and Acceleration. Tangent Vectors and Normal Vectors. Arc Length and Curvature. Review Exercises. P.S. Problem Solving. 13. FUNCTIONS OF SEVERAL VARIABLES Introduction to Functions of Several Variables. Limits and Continuity. Partial Derivatives. Differentials. Chain Rules for Functions of Several Variables. Directional Derivatives and Gradients. Tangent Planes and Normal Lines. Section Project: Wildflowers. Extrema of Functions of Two Variables. Applications of Extrema of Functions of Two Variables. Section Project: Building a Pipeline. Lagrange Multipliers. Review Exercises. P.S. Problem Solving. 14. MULTIPLE INTEGRATION Iterated Integrals and Area in the Plane. Double Integrals and Volume. Change of Variables: Polar Coordinates. Center of Mass and Moments of Inertia. Section Project: Center of Pressure on a Sail. Surface Area. Section Project: Surface Area in Polar Coordinates. Triple Integrals and Applications. Triple Integrals in Cylindrical and Spherical Coordinates. Section Project: Wrinkled and Bumpy Spheres. Change of Variables: Jacobians. Review Exercises. P.S. Problem Solving. 15. VECTOR ANALYSIS Vector Fields. Line Integrals. Conservative Vector Fields and Independence of Path. Green's Theorem. Section Project: Hyperbolic and Trigonometric Functions. Parametric Surfaces. Surface Integrals. Section Project: Hyperboloid of One Sheet. Divergence Theorem. Stokes' Theorem. Review Exercises. Section Project: The Planimeter. P.S. Problem Solving. 16. SECOND ORDER DIFFERENTIAL EQUATIONS* ONLINE Exact First-Order Equations. Second-Order Homogeneous Linear Equations. Second-Order Nonhomogeneous Linear Equations. Section Project: Parachute Jump. Series Solutions of Differential Equations. Review Exercises. P.S. Problem Solving. APPENDIX. A. Proofs of Selected Theorems. B. Integration Tables. C. Precalculus Review (Web). C.1. Real Numbers and the Real Number Line. C.2. The Cartesian Plane. D. Rotation and the General Second-Degree Equation (Web). E. Complex Numbers (Web). F. Business and Economic Applications (Web). G. Fitting Models to Data (Web). APPENDIX. A. Proofs of Selected Theorems. B. Integration Tables. C. Precalculus Review (Web). C.1. Real Numbers and the Real Number Line. C.2. The Cartesian Plane. D. Rotation and the General Second-Degree Equation (Web). E. Complex Numbers (Web). F. Business and Economic Applications (Web). G. Fitting Models to Data (Web).

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Book SynopsisFrom Crowd Psychology to the Dynamics of Large Groups offers transdisciplinary research on the history of the study of social formations, ranging from nineteenth-century crowd psychology in France and twentieth-century Freudian mass psychology, including the developments in critical theory, to the study of the psychodynamics of contemporary large groups.Carla Penna presents a unique combination of sociology, psychoanalysis, and group analysis in the study of social formations. This book revisits the epistemological basis of group analysis by introducing and discussing its historical path, especially in connection with the study of large groups and investigations of the social unconscious in persons, groups, and societies. It also explores early work on group relations and contemporary research on the basic-assumption group in England, particularly Hopperâs theory of Incohesion as a fourth basic assumption. From Crowd Psychology to the Dynamics of Large Groups Trade Review"Carla Penna takes us on a journey through centuries of thought about persons who are both social beings as well as sentient ones. Her book is more than a set of reflections, as it comprises a comprehensive survey of the political and sociological nature of groups, communities and societies. It then considers the various contemporary forms of therapy in groups. We are invited to see how social theorists such as Kurt Lewin or Norbert Elias contributed to therapeutic thinking, whilst therapeutic practice has informed sociological thinking. This multi-dimensional picture shows humans beings within the matrix of the societies which humans have created, and how that matrix can heal us as well as form us." - R.D. Hinshelwood, Psychiatrist, Psychoanalyst, Professor for Psychoanalysis, University of Essex"At last a helpful and scholarly account of the theoretical history of Large Group Theory. The book is to be recommended for forging a link between sociology, psychoanalysis and up to date group analysis. Readers are left in no doubt that large group phenomena can only be comprehended in an inter-disciplinary way and that there are more ways than one to look at human gatherings in large numbers." - Gerhard Wilke is a group analyst and an independent organizational consultant in London. He is an Associate of the Ashridge Business School"The Crowd is an essential addition to the literature on how to understand, and live with, the demands of our troubled times. Moving with great clarity and energy through the history of hordes, herds, masses, and crowds, and drawing from her deep understanding of group psychologies and group analysis, Carla Penna offers both a balanced and well-informed guide to group theory and a set of innovative ideas for confronting social and psychological reality." - Stephen Frosh, PhD, Professor of Psychosocial Studies, Birkbeck, University of London"Carla Penna's book From Crowd Psychology to the Dynamics of Large Groups: Historical, Theoretical and Practical Considerations is a monumental research project. The book is rich with facts and ideas, describing the development of the concept of the crowd, the birth of the work of Bion (the Tavistock Institute) and Foulkes (Group Analysis), the unstructured psychodynamic Large Group, Unconscious Social Processes, and Hopper's 4th Basic assumption of Incohesion. Penna integrates sociology, psychology, and group analysis in a very fluent and smooth way. Her historical research is broad and reveals many important facts from the end of the 19th century until today. This breadth is breathtaking. In today's world, at the beginning of the third decade of the 21th century, flooded by social conflicts, polarization, divisiveness, and mass impact of social media, this book is essential in order to understand the large social group unconscious processes. Its perspective allows the reader to take some distance from current political, sociological and cultural crises and to look at them from a wider angle. This book is highly recommended for sociologists, historians, psychologists, psychotherapists, group therapists, group analysts, and anyone who is interested in understanding more about unconscious social processes." - Haim Weinberg, PhD is a psychologist and group analyst in California and Israel. Past president of the Israeli Association for Group Psychotherapy. Former Director of International Programs at the Professional School of Psychology, California."Carla Penna puts at our disposition her encyclopedic knowledge on phenomena involving large numbers of persons. She approaches the context of masses with psychoanalytic and group analytic tools, first "mapping the field" of the unconscious life of crowds, illuminating the darkness of the twenty-first century crowds and masses." - Robi Friedman, PhD, group analyst, Past President of the Group Analytic Society International"This book represents an impressive tour de force. The author takes us on an exciting journey into a transdiciplinary analysis and investigation of the psychodynamics of the larger group starting with Durkheim and Le Bon over Freud to the Frankfurt School, the Northfield experiments, Bion and Foulkes ending up with Hopper’s 4th basic assumption of Incohesion. It is an outstanding achievement, and it is warmly recommended." - Gerda Winther, MA, is a psychologist. She is a former associate professor at the Faculty of Medicine, University of Copenhagen. Past President of the Group Analytic Society International. "Carla Penna’s particular view from Brazil, combined with her many years of experience as practitioner, teacher and academic of psychoanalysis and group analysis, enables a full study of where we are now in understanding large groups. She provides an expansive perspective with access to writers from Latin America and Europe often with her own translations." - Dr Jale Cilasun BM FRCPsych, Consultant Psychiatrist, Specialist in Medical Psychotherapy and Group Analyst. "This is a much-needed book - in time and on time. In a world where crowds take many different forms globally and virtually, transcending lives everywhere this transdisciplinary study investigates crowds as social and psychological phenomena historically and contemporary based on an impressive command of knowledge. However, the focus turns to the social unconscious as the most important tool for the understanding of the complicated and often incomprehensible processes that go on in the large groups that forms the crowds. The author is a psychoanalyst and group analyst and is drawing on theories and clinical experience of large group dynamics where the interaction in the social unconscious between the individual and the large group takes place." - Anne Lindhardt, psychiatrist, group analyst and trained group analyst. Former director of Mental Services in Copenhagen. Chairperson of Institute of Group Analysis Copenhagen."Carla Penna takes us on a journey through centuries of thought about persons who are both social beings as well as sentient ones. Her book is more than a set of reflections, as it comprises a comprehensive survey of the political and sociological nature of groups, communities, and societies. It then considers the various contemporary forms of therapy in groups. We are invited to see how social theorists such as Kurt Lewin or Norbert Elias contributed to therapeutic thinking, whilst therapeutic practice has informed sociological thinking. This multi-dimensional picture shows human beings within the matrix of the societies which humans have created, and how that matrix can heal us as well as form us." - R.D. Hinshelwood, psychiatrist, psychoanalyst, Professor of Psychoanalysis, University of Essex"At last a helpful and scholarly account of the theoretical history of Large Group Theory. The book is to be recommended for forging a link between sociology, psychoanalysis, and up to date group analysis. Readers are left in no doubt that large group phenomena can only be comprehended in an inter-disciplinary way and that there are more ways than one to look at human gatherings in large numbers." - Gerhard Wilke, group analyst, an independent organizational consultant in London, and an Associate of the Ashridge Business School"From Crowd Psychology to the Dynamics of Large Groups is an essential addition to the literature on how to understand, and live with, the demands of our troubled times. Moving with great clarity and energy through the history of hordes, herds, masses, and crowds, and drawing from her deep understanding of group psychologies and group analysis, Carla Penna offers both a balanced and well-informed guide to group theory and a set of innovative ideas for confronting social and psychological reality." - Stephen Frosh, PhD, Professor of Psychosocial Studies, Birkbeck, University of London"Carla Penna's book From Crowd Psychology to the Dynamics of Large Groups: Historical, Theoretical and Practical Considerations is a monumental research project. The book is rich with facts and ideas, describing the development of the concept of the crowd, the birth of the work of Bion (the Tavistock Institute) and Foulkes (Group Analysis), the unstructured psychodynamic Large Group, Unconscious Social Processes, and Hopper's fourth basic assumption of Incohesion. Penna integrates sociology, psychology, and group analysis in a very fluent and smooth way. Her historical research is broad and reveals many important facts from the end of the nineteenth century until today. This breadth is breathtaking. In today's world, at the beginning of the third decade of the twenty-first century, flooded by social conflicts, polarization, divisiveness, and mass impact of social media, this book is essential in order to understand the large social group unconscious processes. Its perspective allows the reader to take some distance from current political, sociological, and cultural crises and to look at them from a wider angle. This book is highly recommended for sociologists, historians, psychologists, psychotherapists, group therapists, group analysts, and anyone who is interested in understanding more about unconscious social processes." - Haim Weinberg, PhD, psychologist and group analyst in California and Israel, past President, Israeli Association for Group Psychotherapy, and former Director of International Programs, Professional School of Psychology, California"Carla Penna puts at our disposition her encyclopedic knowledge on phenomena involving large numbers of persons. She approaches the context of masses with psychoanalytic and group analytic tools, first 'mapping the field' of the unconscious life of crowds, illuminating the darkness of the twenty-first century crowds and masses." - Robi Friedman, PhD, group analyst, past President of the Group Analytic Society International"This book represents an impressive tour de force. The author takes us on an exciting journey into a transdiciplinary analysis and investigation of the psychodynamics of the larger group, starting with Durkheim and Le Bon over Freud to the Frankfurt School, the Northfield experiments, Bion and Foulkes, ending up with Hopper’s fourth basic assumption of Incohesion. It is an outstanding achievement and it is warmly recommended." - Gerda Winther, MA, psychologist, former Associate Professor at the Faculty of Medicine, University of Copenhagen , and past President of the Group Analytic Society International "Carla Penna’s particular view from Brazil, combined with her many years of experience as practitioner, teacher, and academic of psychoanalysis and group analysis, enables a full study of where we are now in understanding large groups. She provides an expansive perspective with access to writers from Latin America and Europe often with her own translations." - Dr Jale Cilasun, BM FRCPsych, consultant psychiatrist, specialist in medical psychotherapy and group analyst"This is a much-needed book – in time and on time. In a world where crowds take many different forms globally and virtually, transcending lives everywhere, this transdisciplinary study investigates crowds as social and psychological phenomena historically and contemporary based on an impressive command of knowledge. However, the focus turns to the social unconscious as the most important tool for the understanding of the complicated and often incomprehensible processes that go on in the large groups that forms the crowds. The author is a psychoanalyst and group analyst and is drawing on theories and clinical experience of large group dynamics where the interaction in the social unconscious between the individual and the large group takes place." - Anne Lindhardt, psychiatrist, trained group analyst, former Director of Mental Services, Copenhagen, and Chairperson of Institute of Group Analysis CopenhagenTable of ContentsAcknowledgmentsSeries Foreword by Earl HopperIntroductionCHAPTER ONENineteenth-century crowd psychologyCHAPTER TWOTwentieth-century Freudian mass psychologyCHAPTER THREETwentieth-century left-wing mass psychologyCHAPTER FOURReflections on a society of individuals CHAPTER FIVEThe Northfield experiments: the cradle of group work in EnglandCHAPTER SIXGroup relations and Bion’s legacyCHAPTER SEVENTowards new basic assumptions in groupsCHAPTER EIGHTFoulkes and group analysis: the development of the theory of the social unconsciousCHAPTER NINELarge-group psychodynamics in group analysisCHAPTER TENTraumatic experience in the unconscious life of social systems: Earl Hopper’s theory of the fourth basic assumption of Incohesion: Aggregation/Massification or (ba) I: A/MEpilogueReferencesIndex

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Book SynopsisStatistical ConceptsâA First Course presents the first 10 chapters from An Introduction to Statistical Concepts, Fourth Edition. Designed for first and lower-level statistics courses, this book communicates a conceptual, intuitive understanding of statistics that does not assume extensive or recent training in mathematics and only requires a rudimentary knowledge of algebra.Covering the most basic statistical concepts, this book is designed to help readers really understand statistical concepts, in what situations they can be applied, and how to apply them to data. Specifically, the text covers basic descriptive statistics, including ways of representing data graphically, statistical measures that describe a set of data, the normal distribution and other types of standard scores, and an introduction to probability and sampling. The remainder of the text covers various inferential tests, including those involving tests of means (e.g., t tests), proportions, variances, and correlations.Providing accessible and comprehensive coverage of topics suitable for an undergraduate or graduate course in statistics, this book is an invaluable resource for students undertaking an introductory course in statistics in any number of social science and behavioral science disciplines.Trade Review"This edition delivers on many fronts and sets this book apart from the rest. The clear and conversational style emphasizes the applied and practical without compromising the theoretical and conceptual underpinnings. The parallel use of SPSS and R that walks the reader step-by-step through the procedures coupled with fully annotated interpretation of printouts are very appealing to both novice and more seasoned applied researchers. Rather than treating subjects like power and effect size or verification of assumptions in isolation, the authors do a fantastic job of blending them with the analyses to make the story behind the numbers more compelling and complete. The abundance of visuals and APA style write-ups all contribute to simplify and enhance the learning experience." - Devdass Sunnassee, Assistant Clinical Professor, University of North Carolina, USA. "I have relied on previous versions of this textbook to bring to life statistical concepts in my beginning and intermediate level graduate classes. I also share this valuable resource with students who ask questions when working on quantitative projects. This fourth edition brings enhanced materials, explanations, and examples to aid students in gaining basic proficiency in foundational statistical concepts. The detailed and numerous practical examples demonstrate the inner workings of basic statistical methods in the social and behavioural sciences. I look forward to sharing this enhanced edition with our graduate program" -Brian F. French, Washington State University, USA. "Combining theory and mathematical accessibility with examples in various fields of behavioral sciences, SPSS and R applications, APA style write-ups, after-chapter conceptual and practice problems for students, online pedagogical aids, this is a valuable book for introductory statistical courses in behavioral sciences. It has a broad coverage of topics, and the addition of the new chapter on mediation and moderation adds to its value as a classroom text or as a reference for applied researchers." -Feifei Ye, RAND Corporation, USA."Anyone familiar with previous editions of Statistical Concepts from Lomax and Hahs-Vaughn recognize and appreciate the pedigagogically sound treatment of statistical methods comprising introductory and intermediate topics found in many quantitative methods graduate programs. In addition to enhancements found in the past versions such as APA-style write-ups of statistical results and the numerous screen shots depicting both annotated SPSS input commands and output; the fourth edition begins each chapter with a concrete research scenario to motivate the particular statistical method. Another new feature that will resonate with instructors and graduate students are the insightful Stop and Think boxes that offer moments to reflect and to make connections between statistical ideas, data, and the software. Clearly, Lomax and Hahs-Vaughn are committed to preparing the next generation of researchers and practitioners, and the latest edition of Statistical Concepts is a must-have reference for those seeking this type of comprehensive quantitative methods training." - Jeffrey R. Harring, University of Maryland, College Park, USA. "I have required this textbook for my introductory and intermediate-level students throughout multiple editions, and it has continued to get better and better. This new edition continues to emphasize the development of statistical understanding while also providing readers with valuable information on how to perform a variety of procedures using SPSS and R. The authors have added a terrific new chapter on mediation and moderation that reviews concepts and procedures that are often not a point of emphasis in traditional (textbook) coverage of multiple regression (but that are crucial for more modern data analysis). This is a book that not only is a wonderful learning resource for students, but also one they will want to keep in their personal libraries to reference when carrying out their own future research." - H. Michael Crowson, The University of Oklahoma, USA.Table of Contents PrefaceAcknowledgements1. INTRODUCTION2. DATA REPRESENTATION3. UNIVARIATE POPULATION PARAMETERS AND SAMPLE STATISTICS4. THE NORMAL DISTRIBUTION AND STANDARD SCORES5. INTRODUCTION TO PROBABILITY AND SAMPLE STATISTICS6. INTRODUCTION TO HYPOTHESIS TESTING: INFERENCES ABOUT A SINGLE MEAN7. INFERENCES ABOUT THE DIFFERENCE BETWEEN TWO MEANS8. INFERENCES ABOUT PROPORTIONS9. INFERENCES ABOUT VARIANCES10. BIVARIATE MEASURES OF ASSOCIATION AppendixReferencesName Index Subject Index

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Book SynopsisThis handbook will provide both overviews of statistical methods in sports and in-depth treatment of critical problems and challenges confronting statistical research in sports. The material in the handbook will be organized by major sport (baseball, football, hockey, basketball, and soccer) followed by a section on other sports and general statistical design and analysis issues that are common to all sports. This handbook has the potential to become the standard reference for obtaining the necessary background to conduct serious statistical analyses for sports applications and to appreciate scholarly work in this expanding area.Trade Review "The Handbook of Statistical Methods and Analysis in Sports is a phenomenal reference text capturing some of the best work of more than 40 statisticians active in the intersection of statistical methodology and sports data. It consists of 24 largely independent chapters each written by different authors, and outlines advances in statistical methodology applied to baseball, American football, basketball, ice hockey, football (soccer), golf, and cricket. The brilliant design of the text’s structure provides readers with a broad survey of the statistics-in-sports research landscape; it could reasonably be implemented in statistics curricula in a variety of formats and at different levels.~Joe Nolan, Journal of the American Statistical Association"The Handbook of Statistical Methods and Analysis in Sports is a phenomenal reference text capturing some of the best work of more than 40 statisticians active in the intersection of statistical methodology and sports data. It consists of 24 largely independent chapters each written by different authors, and outlines advances in statistical methodology applied to baseball, American football, basketball, ice hockey, football (soccer), golf, and cricket. The brilliant design of the text’s structure provides readers with a broad survey of the statistics-in-sports research landscape; it could reasonably be implemented in statistics curricula in a variety of formats and at different levels.~Joe Nolan, Journal of the American Statistical AssociationTable of ContentsStatistical Issues in Baseball. Overview of statistical analysis in baseball. Evaluation of batters and base runners. Evaluation of fielding. Pitching expertise and evaluation. Situational effects, clutch ability, and streakiness. Statistical Issues in Basketball. Overview of statistical analysis in basketball. Player performance evaluation through scoring margins. Evaluating player performance using spatio-temporal information. Modeling within-game progress in basketball. Experimental design in basketball Referee effects in basketball. Statistical Issues in Hockey. Overview of statistical analysis in hockey. Referee effects in ice hockey. Improvements of plus‐minus systems for measuring player performance. Modeling and prediction of game results. Evaluating goaltenders. Statistical Issues in Soccer. Overview of statistical analysis in soccer. Measuring players’ abilities. Measuring team abilities. Rating models to measure home advantage, team quality, and national team quality. Modeling game outcomes. Effectiveness of rough play (incidence of yellow/red cards, the effect of red cards and player expulsion). Statistical Issues in American Football. Overview of statistical analysis in American football. Measuring performance of quarterbacks and kickers. Predicting career success of players. Optimal strategies in kickoffs and 4th downs. In‐game win probabilities and prediction of game results. Statistical Issues in Other Sports. Cricket: modeling individual performance. Golf: using ShotLink data to develop better measures of performance, fairness of various competitions. Olympics: determining the best Olympic performances and measuring the gender gap in performance improvement, development of records. Tennis: relation of player performance and ranking. Common Statistical Issues in Many Sports. Designing conference and playoff schedules in professional sports leagues. Developing better systems for ranking players in golf and tennis. Statistical considerations for constructing round-robin and double‐elimination. Aging effects in sports. Effects of coach dismissal in different sports. Betting markets and information of those markets related to outcomes in different sports.

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Book SynopsisCan a sense of belonging increase life satisfaction? Why do we sometimes feel lonely? How can we sustain lasting human connections?The Psychology of Belonging explores why feeling like we belong is so important throughout our lives, from childhood to old age, irrespective of culture, race or geography. With its virtues and shortcomings, belonging to groups such as families, social groups, schools, workplaces and communities is fundamental to our identity and wellbeing, even in a time when technology has changed the way we connect with each other.In a world where loneliness and social isolation is on the rise, The Psychology of Belonging shows how meaningful connections can build a sense of belonging for all of us. Table of Contents1. The beginnings of belonging 2. Belonging begins at birth 3. Belonging in adulthood 4. Rejection 5. Belonging in an age of technology 6. Belonging bad 7. Building belonging References

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Book SynopsisSPSS Explained provides the student with all that they need to undertake statistical analysis using SPSS. It combines a step-by-step approach to each procedure with easy-to-follow screenshots at each stage of the process. A number of other helpful features are provided, including: regular advice boxes with tips specific to each test explanations divided into essential' and advanced' sections to suit readers at different levels frequently asked questions at the end of each chapter The third edition of this popular book has been fully updated for IBM SPSS version 27 and also includes: a new chapter on how to undertake mediation and moderation with SPSS updates on changes to SPSS, including updated functionality within ANOVAs and calculations of a priori power analysis Presented in full colour and with a fresh, reader-friendly layout, this fully updated new edition also comes with online support materTrade Review'Statistical methods are an integral part of teaching and research in almost all disciplines in the age of data revolution. The authors have presented introductory, descriptive, and numerical methods, as well as univariate and multivariate model fitting and inferential statistical procedures in a very clear, simplified, and step-by-step illustrative way. This book will be helpful to college and university students, teachers, and researchers who wish to analyse and interpret observational and experimental data from different disciplines across the world.'Professor Dr Shahjahan Khan, Vice Chancellor, Asian University of Bangladesh, Dhaka, BangladeshTable of Contents1. Introduction2. Data entry3. Descriptive statistics4. Illustrative statistics5. Introduction to statistical testing6. t tests7. Introduction to analysis of variance (general linear model)8. One-factor analysis of variance9. Two-factor analysis of variance10. Introduction to multivariate analysis of variance11. Nonparametric two sample tests12. Nonparametric k sample tests13. Chi-square test of independence and goodness of fit test14. Linear correlation and regression15. Multiple regression and multiple correlation16. Moderation and mediation17. Introduction to factor analysis18. Using SPSS to analyse questionnaires: reliability18. Using SPSS to analyse questionnaires: reliability

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Book SynopsisPraise for the First EditionLuck, Logic, and White Lies teaches readers of all backgrounds about the insight mathematical knowledge can bring and is highly recommended reading among avid game players, both to better understand the game itself and to improve one's skills. Midwest Book ReviewThe best book I''ve found for someone new to game math is Luck, Logic and White Lies by Jörg Bewersdorff. It introduces the reader to a vast mathematical literature, and does so in an enormously clear manner. . . Alfred Wallace, Musings, Ramblings, and Things Left UnsaidThe aim is to introduce the mathematics that will allow analysis of the problem or game. This is done in gentle stages, from chapter to chapter, so as to reach as broad an audience as possible . . . Anyone who likes games and has a taste for analytical thinking will enjoy this book. Peter Fillmore, CMS NotesLuck, Logic, and Trade Review"The book presents mathematical explanation of problems related to playing games of chance, combinatorial and strategic games, with descriptions of their historical perspectives and recreational aspects. [. . .] The author notes that people play games investigating the unknown outcomes, in amusement and hope of winning in conditions of uncertainty caused by three possible mechanisms: chance, a large number of combinations of various moves, and different states of information among the individual players. Respectively, the games can be divided to three classes: games of chance (e.g., dice, cards, roulette) where the random processes dominate the players decisions; combinatorial games (chess, go) where the uncertainty rests on the multiplicity of possible moves; and strategic games (rock-paper-scissors) where the players’ uncertainty arises from imperfect information. Many games have mixed features (backgammon, poker, skat), and the degree of influence of the three main causes of uncertainty defines specifics of each game. The book introduces mathematical methods developed for description and solutions of games: the games of chance can be analyzed with the help of probability theory, the combinatorial games are considered by variety of methods used in particular problems, and the strategic games are studied by the game theory models for decision-making in the interactive optimizing economic processes. The book is organized in four parts containing 51 chapters on various topics.[. . .] All topics are illustrated by multiple figures and numerical tables. [. . .] It can be useful to instructors, students, and readers wishing to extend understanding of the games’ intrinsic features needed to improve ability to win in actual playing."- Stan Lipovetsky, Technometrics"As the title indicates, Bewersdorff’s book is intended to span the mathematics of games in general – not only games of chance but also including strategic and skill games. The author covers all the big categories of games – casino, tournament, and house or social games. In fact, the skill-strategic dimension of the games balanced with the chance-uncertainty dimension is the central element around which the author presents games as an important field of application of mathematics; he takes them as a good opportunity to advocate for the beauty and power of mathematics. To that point, the book is written so as to be both popular and scholarly, and these attributes are not at all inconsistent with each other for such a general topic, content, and style. [. . .] The book leaves the impression of its author’s being a skilled advocate of the unlimited power of mathematics, shown through the examples of games. Not only is mathematics able to describe the games and the way we play them, but it is entitled to address fundamental questions beyond the problem-solving aspects of games and gaming. It is mainly game theory and probability theory that grant mathematics such a virtue. [. . .] Although the chapters can mostly be read independent of each other, and the mathematical content is not systematized throughout the book, the mathematically-inclined reader can put things together to have an objective overview of one of the most interesting fields in application of mathematics – games – which themselves shaped the development of mathematics."– International Gambling Studies"The author provides a great deal of insight into a wide variety of games, all inspected from a mathematical point of view. He develops the prerequisites mathematically, so that someone with a good high-school background in mathematics and a willingness to learn will be able to build up the necessary tools for successful play. Moreover, the author’s arguments are often very detailed, so that even a novice can easily follow them. The numerous diagrams also help.I find Bewersdorff's writing to be clear and detailed. He has taken care in the presentation of the ideas. The book, the size of which has now grown to 568 pages, provides a great deal of information, and the reader can easily pick and choose topics of interest without having to absorb the entire treatise. The level of Mathematical skill needed, however, does vary greatly from chapter to chapter. When necessary, the reader can make use of previous chapters to develop the required background to proceed. To the prospective reader, good luck, and may your play be a winning one!"– The Mathematical IntelligencerThis book, successor to the first edition (2005) and translated from the 7th German edition, treats games of chance (“luck”), combinatorial games (“logic”), and games of strategy (bluff, or “white lies”). The first part develops succinctly the needed theory of probability and investigates the nature of randomness. The second part explores minimax optimization, Grundy values, Conway’s theory of games, and complexity theory. The third part is based on the fact that in a symmetric two-person zero-sum game, the players are guaranteed optimal mixed strategies; for some games, finding such strategies can be done by linear programming. This edition adds a fourth part that investigates measuring the proportion of skill in a game, with particular application to poker. The reader needs to be comfortable with algebra and summation signs, and infinite series make appearances; end-of-chapter notes and footnotes contribute further mathematical depth.– Mathematics Magazine, MAA"Exceptionally well written, organized and presented, Luck, Logic, and White Lies: The Mathematics of Games is a unique and unreservedly recommended addition to professional, community, college, and university library Game Theory & Mathematics collections."– Midwest Books Review"A great variety of games are analyzed in an accessible way. The treatment of blackjack, in particular, is superb."– Stewart Ethier, Professor Emeritus, University of Utah and author of The Doctrine of Chances: Probabilistic Aspects of Gambling "People play games for fun and for profit. To become better at a game, you need to study it. In Luck, Logic and White Lies, Jörg Bewersdorff takes you, almost imperceptibly, from the history of numerous concrete games to their mathematical analysis. This touches upon a wide range of techniques, not only in mathematics, but also in computing and psychology. If you get the hang of it, you can apply these techniques to other areas of life, such as business, economics, biology, and sociology."– Tom Verhoeff, Dept. Math & CS, Eindhoven University of TechnologyPraise for the First Edition"Luck, Logic, and White Lies teaches readers of all backgrounds about the insight mathematical knowledge can bring and is highly recommended reading among avid game players, both to better understand the game itself and to improve one's skills."– Midwest Book Review"The best book I've found for someone new to game math is Luck, Logic and White Lies by Jörg Bewersdorff. It introduces the reader to a vast mathematical literature, and does so in an enormously clear manner. . ."– Alfred Wallace, Musings, Ramblings, and Things Left Unsaid"The aim is to introduce the mathematics that will allow analysis of the problem or game. This is done in gentle stages, from chapter to chapter, so as to reach as broad an audience as possible [. . .] Anyone who likes games and has a taste for analytical thinking will enjoy this book."– Peter Fillmore, CMS NotesTable of ContentsI. Games of Chance. 1. Dice and Probability. 2. Waiting for a Double. 3. Tips on Playing the Lottery: More Equal Than Equal? 4. A Fair Division: But How? 5. The Red and the Black: The Law of Large Numbers. 6. Asymmetric Dice: Are They Worth Anything? 7. Probability and Geometry. 8. Chance and Mathematical Certainty: Are They Reconcilable? 9. In Quest of the Equiprobable. 10. Winning the Game: Probability and Value. 11. Which Die Is Best? 12. A Die Is Tested. 13. The Normal Distribution: A Race to the Finish! 14. And Not Only at Roulette: The Poisson Distribution. 15. When Formulas Become Too Complex: The Monte Carlo Method. 16. Markov Chains and the Game Monopoly. 17 Blackjack: A Las Vegas Fairy Tale. II. Combinatorial Games. 18. Which Move Is Best? 19. Chances of Winning and Symmetry. 20. A Game for Three. 21. Nim: The Easy Winner! 22. Lasker Nim: Winning Along a Secret Path. 23. Black-and-White Nim: To Each His (or Her) Own. 24. A Game with Dominoes: Have We Run Out of Space Yet? 25. Go: A Classical Game with a Modern Theory. 26. Misere Games: Loser Wins! 27. The Computer as Game Partner. 28. Can Winning Prospects Always Be Determined? 29. Games and Complexity: When Calculations Take Too Long. 30. A Good Memory and Luck: And Nothing Else? 31. Backgammon: To Double or Not to Double? 32. Mastermind: Playing It Safe. III. Strategic Games. 33. Rock–Paper–Scissors: The Enemy's Unknown Plan. 34. Minimax Versus Psychology: Even in Poker? 35. Bluffing in Poker: Can It Be Done Without Psychology? 36. Symmetric Games: Disadvantages Are Avoidable, but How? 37. Minimax and Linear Optimization: As Simple as Can Be. 38. Play It Again, Sam: Does Experience Make Us Wiser? 39. Le Her: Should I Exchange? 40. Deciding at Random: But How? 41. Optimal Play: Planning Efficiently. 42. Baccarat: Draw from a Five? 43. Three-Person Poker: Is It a Matter of Trust? 44 QUAAK! Child's Play? 45 Mastermind: Color Codes and Minimax. 46. A Car, Two Goats–and a Quizmaster. IV. Epilogue: Chance, Skill, and Symmetry. 47. A Player's Inuence and Its Limits. 48. Games of Chance and Games of Skill. 49. In Quest of a Measure. 50. Measuring the Proportion of Skill. 51. Poker: The Hotly Debated Issue.

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Book SynopsisAnalysis of Categorical Data with R, Second Editionpresents a modern account of categorical data analysis using the R software environment. It covers recent techniques of model building and assessment for binary, multicategory, and count response variables and discusses fundamentals, such as odds ratio and probability estimation. The authors give detailed advice and guidelines on which procedures to use and why to use them.The second edition is a substantial update of the first based on the authors' experiences of teaching from the book for nearly a decade. The book is organized as before, but with new content throughout, and there are two new substantive topics in the advanced topics chaptergroup testing and splines. The computing has been completely updated, with the emmeans package now integrated into the book. The examples have also been updated, notably to include new examples based on COVID-19, and there are more than 90 new exercises in the book. The s

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Book SynopsisThis book is designed to provide practical guidance and directly applicable knowledge for data scientists and analysts who want to integrate text into their modeling pipelines. We assume that the reader is somewhat familiar with R, predictive modeling concepts for non-text data, and the tidyverse family of packages.Trade Review"I find this book very useful, as predictive modelling with text is an important field in data science and statistics, and yet the one that has been consistently under-represented in technical literature. Given the growing volume, complexity and accessibility of unstructured data sources, as well as the rapid development of NLP algorithms, knowledge and skills in this domain is in increasing demand. In particular, there’s a demand for pragmatic guidelines that offer not just the theoretical background to the NLP issues but also explain the end-to-end modelling process and good practices supported with code examples, just like "Supervised Machine Learning for Text Analysis in R" does. Data scientists and computational linguists would be a prime audience for this kind of publication and would most likely use it as both, (coding) reference and a textbook."~Kasia Kulma, data science consultant"This book fills a critical gap between the plethora of text mining books (even in R) that are too basic for practical use and the more complex text mining books that are not accessible to most data scientists. In addition, this book uses statistical techniques to do text mining and text prediction and classification. Not all text mining books take this approach, and given the level of this book, it is one of its strongest features."~Carol Haney, Quatrics"This book would be valuable for advanced undergraduates and early PhD students in a wide range of areas that have started using text as data…The main strength of the book is its connection to the tidyverse environment in R. It's relatively easy to pick up and do powerful things."~David Mimno, Cornell University"The authors do a great job of presenting R programmers a variety of deep learning applications to text-based problems. Perhaps one of the best parts of this book is the section on interpretability, where the authors showcase methods to diagnose features on which these complex models rely to make their prediction. Considering how important the area of interpretability is to natural language processing research and is often skipped in applied textbooks, the authors should be commended for incorporating it in this book."~Kanishka Misra, Purdue University"In conclusion, the presented book is extremely useful for graduate students, advanced researchers, and practitioners of statistics and data science who are interested in learning cutting-edge supervised ML techniques for text data. By utilizing the tidyverse environment and providing easy-to-understand R code examples with detailed study cases of real-world text mining problems, this book stands out and is a worthwhile read."-Han-Ming Wu, National Chengchi University, Biometrics, September 2022"The volume is a valuable methodological resource, primarily for students interested in data science, concerned with: understanding the fundamentals of preprocessing steps required to transform a corpus, not always large, into a structure that is a good fit for modeling; implementation of machine learning and deep learning algorithms for building text predictive models under given research contexts in which they have to be integrated."-Anca Vitcu in ISCB Book Reviews, September 2022Table of Contents1. Language and modeling. 2. Tokenization. 3. Stop words. 4. Stemming. 5. Word Embeddings. 6. Regression. 7. Classification. 8. Dense neural networks. 9. Long short-term memory (LSTM) networks. 10. Convolutional neural networks.

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Book SynopsisFocused on the mathematical foundations of social media analysis, Graph-Based Social Media Analysis provides a comprehensive introduction to the use of graph analysis in the study of social and digital media. It addresses an important scientific and technological challenge, namely the confluence of graph analysis and network theory with linear algebra, digital media, machine learning, big data analysis, and signal processing. Supplying an overview of graph-based social media analysis, the book provides readers with a clear understanding of social media structure. It uses graph theory, particularly the algebraic description and analysis of graphs, in social media studies.The book emphasizes the big data aspects of social and digital media. It presents various approaches to storing vast amounts of data online and retrieving that data in real-time. It demystifies complex social media phenomena, such as information diffusion, marketing and recommendationTable of ContentsGraphs in Social and Digital Media. Mathematical Preliminaries: Graphs and Matrices. Algebraic Graph Analysis. Web Search Based on Ranking. Label Propagation and Information Diffusion in Graphs. Graph-Based Pattern Classification and Dimensionality Reduction. Matrix and Tensor Factorization with Recommender System Applications. Multimedia Social Search Based on Hypergraph Learning. Graph Signal Processing in Social Media. Big Data Analytics for Social Networks. Semantic Model Adaptation for Evolving Big Social Data. Big Graph Storage, Processing and Visualization.

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Book SynopsisA systematic, innovative introduction to the field of network analysis, Network Psychometrics with R: A Guide for Behavioral and Social Scientists provides a comprehensive overview of and guide to both the theoretical foundations of network psychometrics as well as modelling techniques developed from this perspective. Written by pioneers in the field, this textbook showcases cutting-edge methods in an easily accessible format, accompanied by problem sets and code. After working through this book, readers will be able to understand the theoretical foundations behind network modelling, infer network topology, and estimate network parameters from different sources of data. This book features an introduction on the statistical programming language R that guides readers on how to analyse network structures and their stability using R. While Network Psychometrics with R is written in the context of social and behavioral science, the methods introduced in this book areTrade Review"The PsychoSystems team at the University of Amsterdam has sparked a conceptual and methodological revolution in psychology. Their network approach to mental disorders is galvanizing our field, producing an urgent need for an accessible, user-friendly text for novices as well as for experienced researchers. Network Psychometrics with R is a splendid book that fulfills this need admirably. Importantly, the authors are seasoned teachers of network analysis, accustomed to introducing the approach to beginners in the field." -- Professor Richard McNally, Harvard University, USA"This thorough introduction into all important details of network psychometrics, by a group of authors including many of the leading scientists in the field, fills an important lacuna in the literature. It is highly recommended for widespread use in teaching and applied research." -- Professor Peter Molenaar, Pennsylvania State University, USA"The PsychoSystems team at the University of Amsterdam has sparked a conceptual and methodological revolution in psychology. Their network approach to mental disorders is galvanizing our field, producing an urgent need for an accessible, user-friendly text for novices as well as for experienced researchers. Network Psychometrics with R is a splendid book that fulfills this need admirably. Importantly, the authors are seasoned teachers of network analysis, accustomed to introducing the approach to beginners in the field." Professor Richard McNally, Harvard University, USA"This thorough introduction into all important details of network psychometrics, by a group of authors including many of the leading scientists in the field, fills an important lacuna in the literature. It is highly recommended for widespread use in teaching and applied research." Professor Peter Molenaar, Pennsylvania State University, USATable of ContentsI: Network Science in R 1 Network Perspectives 2 Short Introduction to R 3 Descriptive Analysis of Network Structures 4 Constructing and Drawing Networks in qgraph 5 Association and Conditional Independence; II: Estimating Undirected Network Models 6 Pairwise Markov Random Fields 7 Estimating Network Structures using Model Selection 8 Network Stability, Comparison, and Replicability; III: Network Models for Longitudinal Data 9 Longitudinal Design Choices: Relating Data to Analysis 10 Network Estimation from Time Series and Panel Data 11 Modeling Change in Networks; IV: Theory and Causality 12 Causal Inference 13 Idealized Modeling of Psychological Dynamics

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Book SynopsisThis book is for those interested in number systems, abstract algebra, and analysis. It provides an understanding of negative and fractional numbers with theoretical background and explains rationale of irrational and complex numbers in an easy to understand format. This book covers the fundamentals, proof of theorems, examples, definitions, and concepts. It explains the theory in an easy and understandable manner and offers problems for understanding and extensions of concept are included. The book provides concepts in other fields and includes an understanding of handling of numbers by computers. Research scholars and students working in the fields of engineering, science, and different branches of mathematics will find this book of interest, as it provides the subject in a clear and concise way.

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Book SynopsisThe book reviews core concepts of machine learning (ML) while focusing on modern applications. It is aimed at those who want to advance their understanding of ML by providing technical and practical insights. It does not use complicated mathematics to explain how to benefit from ML algorithms. Unlike the existing literature, this work provides the core concepts with emphasis on fresh ideas and real application scenarios. It starts with the basic concepts of ML and extends the concepts to the different deep learning algorithms. The book provides an introduction and main elements of evaluation tools with Python and walks you through the recent applications of ML in self-driving cars, cognitive decision making, communication networks, security, and signal processing. The concept of generative networks is also presented and focuses on GANs as a tool to improve the performance of existing algorithms.In summary, this book provides a comprehensive technological path from fundamentalTable of Contents1. Introduction 2. Linear Algebra 3. Machine Learning 4. Some Practical Notes 5. Deep Learning 6. Generative Adversarial Networks 7. Implementation

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Book SynopsisData graphics are used extensively to present information. Understanding graphics is a lot about understanding the data represented by the graphics, having a feel not just for the numbers themselves, the reliability and uncertainty associated with them, but also for what they mean. This book presents a practical approach to data visualisation with real applications front and centre.The first part of the book is a series of case studies, each describing a graphical analysis of a real dataset. The second part pulls together ideas from the case studies and provides an overview of the main factors affecting understanding graphics.Key Features: Explains how to get insights from graphics. Emphasises the value of drawing many graphics. Underlines the importance for analysis of background knowledge and context. Readers may be data scientists, statisticians or people who want to become more visually literate. A knowledge of Statistics is not required, just an interest in data graphics and some experience of working with data. It will help if the reader knows something of basic graphic forms such as barcharts, histograms, and scatterplots.

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Book SynopsisBased on the syllabus of the actuarial profession courses on general insurance pricing â with additional material inspired by the authorâs own experience as a practitioner and lecturer â Pricing in General Insurance, Second Edition presents pricing as a formalised process that starts with collecting information about a particular policyholder or risk and ends with a commercially informed rate. The first edition of the book proved very popular among students and practitioners with its pragmatic approach, informal style, and wide-ranging selection of topics, including: Background and context for pricing Process of experience rating, ranging from traditional approaches (burning cost analysis) to more modern approaches (stochastic modelling) Exposure rating for both property and casualty products Specialised techniques for personal lines (e.g., GLMs), reinsurance, and specific products such as credit risk and weatheTable of Contents1.The Pricing Process: A Gentle Start. 2. Insurance and Reinsurance Products. 3.The Cover Structure.4. The Insurance Markets. 5. Pricing in Context. 6. The Scientific Basis for Pricing: Risk Theory. 7. Familiarise Yourself with the Risk. 8. Data Requirements for Pricing. 9. Setting the Loss Inflation Assumptions. 10. Data Preparation. 11. The Burning Cost Approach. 12. What Is This Thing Called Modelling? A Gentle Introduction to Machine Learning. 13. Frequency Modelling: Adjusting for Claim Count IBNR. 14. Frequency Modelling: Selecting and Calibrating a Frequency Model. 15. Severity Modelling: Adjusting for IBNER and Other Factors. 16. Severity Modelling: Selecting and Calibrating a Severity Model. 17. Aggregate Loss Modelling. 18. Identifying, Measuring, and Communicating Uncertanity. 19. Setting the Premium. 20. The Pricing Cycle and Rate Change Calculations. 21. Experience Rating for Non-Proportional Reinsurance. 22. Exposure Rating for Property Insurance. 23. Liability Rating Using Increased Limit Factor Curves. 24. Pricing Considerations for Specific Lines of Business. 25. Catastrophe Modelling in Pricing. 26. Credibilty Theory. 27. Rating Factor Selection and Calibration: GLMs, GAMs, and Regularisation. 28. Multilevel Factors and Smoothing. 29. Pricing Multiple Lines of Business and Risks. 30. Insurance Structure Optimisation. 31. An Introduction to Pricing Models.

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Book SynopsisRasch Measurement Theory Analysis in R provides researchers and practitioners with a step-by-step guide for conducting Rasch measurement theory analyses using R. It includes theoretical introductions to major Rasch measurement principles and techniques, demonstrations of analyses using several R packages that contain Rasch measurement functions, and sample interpretations of results. Features: Accessible to users with relatively little experience with R programming Reproducible data analysis examples that can be modified to accommodate usersâ own data Accompanying e-book website with links to additional resources and R code updates as needed Features dichotomous and polytomous (rating scale) Rasch models that can be applied to data from a wide range of disciplines This book is designed for graduate students, researchers, and practitioners across the social, health, and behavioral sciences who have a basic familiarity with Rasch measurement theory and with R. Readers will learn how to use existing R packages to conduct a variety of analyses related to Rasch measurement theory, including evaluating data for adherence to measurement requirements, applying the dichotomous, Rating Scale, Partial Credit, and Many-Facet Rasch models, examining data for evidence of differential item functioning, and considering potential interpretations of results from such analyses.Trade ReviewOver 60 years ago, Georg Rasch introduced a fundamentally new way of viewing measurement theory into the social sciences. His approach to invariant measurement provides the opportunity to achieve sample-free calibration of items and item-free measurement of persons. His research remains the gold standard for developing psychometrically sound assessments. Stefanie A. Wind and Cheng Hua introduce Rasch's fundamental ideas to students, researchers, and practitioners using readily available software in R that facilitates the quest for invariant measurement. ­-George Engelhard, University of GeorgiaTable of Contents1 Introduction 2 Dichotomous Rasch Model 3 Evaluating the Quality of Measures 4 Rating Scale Model 5 Partial Credit Model 6 Many Facet Rasch Model 7 Basics of Differential Item Functioning

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Book SynopsisSheaves also appear in logic as carriers for models of set theory. Beginning with several examples, it explains the underlying ideas of topology and sheaf theory as well as the general theory of elementary toposes and geometric morphisms and their relation to logic.Trade ReviewFrom the reviews: "A beautifully written book, a long and well motivated book packed with well chosen clearly explained examples. … authors have a rare gift for conveying an insider’s view of the subject from the start. This book is written in the best Mac Lane style, very clear and very well organized. … it gives very explicit descriptions of many advanced topics--you can learn a great deal from this book that, before it was published, you could only learn by knowing researchers in the field." (Wordtrade, 2008)Table of ContentsPreface; Prologue; Categorical Preliminaries; 1. Categories of Functors; 2. Sheaves of Sets; 3. Grothendieck Topologies and Sheaves; 4. First Properties of Elementary Topoi; 5. Basic Constructions of Topoi; 6. Topoi and Logic; 7. Geometric Morphisms; 8. Classifying Topoi; 9. Localic Topoi; 10. Geometric Logic and Classifying Topoi; Appendix: Sites for Topoi; Epilogue; Bibliography; Index of Notations; Index

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Book Synopsis...the great feature of the book is that anyone can read it without excessive head scratching...You''ll find plenty here to keep you occupied, amused, and informed. Buy, dip in, wallow. -IAN STEWART, NEW SCIENTIST...a delightful look at numbers and their roles in everything from language to flowers to the imagination. -SCIENCE NEWS...a fun and fascinating tour of numerical topics and concepts. It will have readers contemplating ideas they might never have thought were understandable or even possible. -WISCONSIN BOOKWATCHThis popularization of number theory looks like another classic. -LIBRARY JOURNALTrade ReviewFrom the reviews: "This is a really fascinating book either to read or to browse in, or for reference - there is a good index, and I can strongly recommend it - it should be in every school and college library!" The Mathematical Gazette "… A delightful look at numbers and their roles in everything from language to flowers to the imagination." Science News "… The great feature of the book is that anyone can read it without excessive head scratching … You'll find plenty here to keep you occupied, amused, and informed. Buy, dip in, wallow." New ScientistTable of Contents1. The Romance of Numbers 2. Figures from Figures Doing Arithmetic and Algebra by Geometry 3. What Comes Next? 4. Famous Families of Numbers 5. The Primacy of Primes 6. Further Fruitfulness of Fractions 7. Geometric Problems and Algebraic Numbers 8. Imagining Imaginary Numbers 9. Some Transcendental Numbers 10. Infinite and Infinitesimal Numbers

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Book SynopsisA leading data visualisation expert explores the negative—and positive-influences that charts have on our perception of truthTrade Review"[Alberto Cairo's] book reminds readers not to infer too much from a chart, especially when it shows them what they already wanted to see. Mr Cairo has sent a copy to the White House." -- The Economist

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Book SynopsisThe perfect balance of readability and formalism.Table of Contents1) Introduction Part I: Representations and Basic Assumptions 2) The Extensive Form 3) Strategies and the Normal Form 4) Beliefs, Mixed Strategies, and Expected Payoffs 5) General Assumptions and Methodology Part II: Analyzing Behavior in Static Settings 6) Dominance and Best Response 7) Rationalizability and Iterated Dominance 8) Location, Partnership, and Social Unrest 9) Nash Equilibrium 10) Oligopoly, Tariffs, Crime, and Voting 11) Mixed-Strategy Nash Equilibrium 12) Strictly Competitive Games and Security Strategies 13) Contract, Law, and Enforcement in Static Settings Part III: Analyzing Behavior in Dynamic Settings 14) Details of the Extensive Form 15) Sequential Rationality and Solution Concepts 16) Topics in Industrial Organization 17) Parlor Games 18) Bargaining Problems 19) Analysis of Simple Bargaining Games 20) Games with Joint Decisions; Negotiation Equilibrium 21) Unverifiable Investment, Hold Up, Options, And Ownership 22) Repeated Games and Reputation 23) Collusion, Trade Agreements, and Goodwill Part IV: Information 24) Random Events and Incomplete Information 25) Risk and Incentives in Contracting 26) Bayesian Nash Equilibrium and Rationalizability 27) Lemons, Auctions, and Information Aggregation 28) Perfect Bayesian Equilibrium 29) Job-Market Signaling and Reputation Appendices A) Review of Mathematics B) The Mathematics of Rationalizability and Existence of Nash Equilibirum Index

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Book SynopsisIntroduces students to the basic mathematical and scientific principles underpinning sport and exercise science. This book explains the basic scientific principles that help us to understand sport, exercise and human movement, using a range of illustrated practical examples.Table of Contents1.Introduction Part1 Physical states 2.Gases 3.Liquids 4.Solids Part 2 Force, pressure, energy and electricity 5.Force and pressure 6.Energy 7.ElectricityPart 3 Scientific transferable skills 8.Data analysis 9.Numerical Calculations 10.Report writing Appendix 1: Health questionnaire Appendix 2: Examples of consent forms Appendix 3: Thermal equivalents of oxygen Appendix 4: Scientific journals in sport and exercise Appendix 5:Measurement concepts

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Book SynopsisContains multiple-choice questions. This title contains worked examples and exam questions that help consolidate learning and provide thorough exam preparation. It also features 'Test-yourself' questions that present opportunities for self-assessment.Table of ContentsUnit 1 1 The straight line 2 Sets & functions 3 Graphs of fractions 4 Trigonometry: graphs & equations 5 Recurence relations 6 Differentiation Unit 2 7 Polynomials 8 Quadratic functions 9 Integration 10 3D trigonometry 11 Addition formulae 12 The circle Unit 3 13 Vectors 14 Further calculus 15 Exponential & logarithmic functions 16 The wave function Specimen Unit assessment A-1 (H) Specimen Unit assessment B-1 (H) Specimen Unit assessment A-2 (H) Specimen Unit assessment B-2 (H) Specimen Unit assessment A-3 (H) Specimen Unit assessment B-3 (H) Formulae List Specimen Course assessment A Specimen Course assessment B Answers

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Book Synopsis

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Book SynopsisTo ensure clear progression for every pupil, we have divided the course into four Pupil Books, supported by three Access Workbooks. Maths is put into contexts that make sense to pupils, showing them how it relates to other subjects and how useful it is in everyday life. With each concept presented in a clear, relevant and engaging way, pupils will be inspired to succeed!Table of ContentsIntroduction Unit 1 Getting things in order - Number/Algebra 1 Unit 2 Get in line - Geometry and measures 1 Unit 3 Definitely maybe - Statistics 1 Unit 4 Look the part - Number 2 Unit 5 Function frenzy - Algebra 2 Unit 6 Measure up - Geometry and measures 2 Revision 1 Unit 7 Into the unknown - Algebra 3 Unit 8 Clever calculations - Number 3 Unit 9 Tons of transformations - Geometry and measures 3 Unit 10 Under construction - Algebra 4 Unit 11 Dealing with data - Statistics 2 Revision 2 Unit 12 Number know-how - Number 4 Unit 13 The plot thickens - Algebra 5 Unit 14 Putting things in proportion - Solving problems 1 Unit 15 Back to the drawing board - Geometry and measures 4 Unit 16 Statistically speaking - Statistics 3 Revision 3 Index

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Book SynopsisTable of ContentsThe Foundations of Set Theory. Infinitary Combinatorics. The Well-Founded Sets. Easy Consistency Proofs. Defining Definability. The Constructible Sets. Forcing. Iterated Forcing. Bibliography. Indexes.

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