Copyright Year 2021
ISBN 9780367548414
April 27, 2021 Forthcoming by A K Peters/CRC Press
560 Pages 80 B/W Illustrations
Luck, Logic, and White Lies: The Mathematics of Games, Second Edition considers a specific problem?generally a game or game fragment and introduces the related mathematical methods. It contains a section on the historical development of the theories of games of chance, and combinatorial and strategic games.
This new edition features new and much refreshed chapters, including an all-new Part IV on the problem of how to measure skill in games. Readers are also introduced to new references and techniques developed since the previous edition.
Provides a uniquely historical perspective on the mathematical underpinnings of a comprehensive list of games
Suitable for a broad audience of differing mathematical levels. Anyone with a passion for games, game theory, and mathematics will enjoy this book, whether they be students, academics, or game enthusiasts
Covers a wide selection of topics at a level that can be appreciated on a historical, recreational, and mathematical level.
Jorg Bewersdorff (1958) studied mathematics from 1975 to 1982 at the University of Bonn and earned his PhD in 1985. In the same year, he started his career as game developer and mathematician. He served as the general manager of the subsidiaries of Gauselmann AG for more than two decades where he developed electronic gaming machines, automatic payment machines, and coin-operated Internet terminals.
Dr. Bewersdorff has authored several books on Galois theory (translated in English and Korean), mathematical statistics, and object-oriented programming with JavaScript.
I. 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.
Copyright Year 2021
ISBN 9781138061231
February 9, 2021 Forthcoming by Chapman and Hall/CRC
636 Pages 250 B/W Illustrations
The first edition of this award-winning book attracted a wide audience. This second edition is both a joy to read and a useful classroom tool. Unlike traditional textbooks, it requires no mathematical prerequisites and can be read around the mathematics presented. If used as a textbook, the mathematics can be prioritized, with a book both students and instructors will enjoy reading.
Secret History: The Story of Cryptology, Second Edition incorporates new material concerning various eras in the long history of cryptology. Much has happened concerning the political aspects of cryptology since the first edition appeared. The still unfolding story is updated here.
The first edition of this book contained chapters devoted to the cracking of German and Japanese systems during World War II. Now the other side of this cipher war is also told, that is, how the United States was able to come up with systems that were never broken.
The text is in two parts. Part I presents classic cryptology from ancient times through World War II. Part II examines modern computer cryptology. With numerous real-world examples and extensive references, the author skillfully balances the history with mathematical details, providing readers with a sound foundation in this dynamic field.
Presents a chronological development of key concepts
Includes the Vigenere cipher, the one-time pad, transposition ciphers, Jefferson’s wheel cipher, Playfair cipher, ADFGX, matrix encryption, Enigma, Purple, and other classic methods
Looks at the work of Claude Shannon, the origin of the National Security Agency, elliptic curve cryptography, the Data Encryption Standard, the Advanced Encryption Standard, public-key cryptography, and many other topics
New chapters detail SIGABA and SIGSALY, successful systems used during World War II for text and speech, respectively
Includes quantum cryptography and the impact of quantum computers
CLASSICAL CRYPTOLOGY: Ancient Roots;, Monalphabetic Substitution Ciphers, or MASCs: Disguises for Messages; Simple Progression to an Unbreakable Cipher; Transposition Ciphers; Shakespeare, Jefferson, and JFK; World War I and Herbert O. Yardley; Matrix Encryption; World War II: The Enigma of Germany; Cryptologic War against Japan; MODERN CRYPTOLOGY: Claude Shannon; National Security Agency; Data Encryption Standard; Birth of Public Key Cryptography; Attacking RSA; Primality Testing and Complexity Theory; Authenticity; Pretty Good Privacy; Stream Ciphers; Suite B All-Stars; Possible Futures; Index
Copyright Year 2021
ISBN 9780815359838
March 21, 2021 Forthcoming by Chapman and Hall/CRC
336 Pages 41 B/W Illustrations
A First course in Ordinary Differential Equations provides a detailed introduction to the subject focusing on analytical methods to solve ODEs and theoretical aspects of analyzing them when it is difficult/not possible to find their solutions explicitly. This two-fold treatment of the subject is quite handy not only for undergraduate students in mathematics but also for physicists, engineers who are interested in understanding how various methods to solve ODEs work. More than 300 end-of-chapter problems with varying difficulty are provided so that the reader can self examine their understanding of the topics covered in the text.
Most of the definitions and results used from subjects like real analysis, linear algebra are stated clearly in the book. This enables the book to be accessible to physics and engineering students also. Moreover, sufficient number of worked out examples are presented to illustrate every new technique introduced in this book. Moreover, the author elucidates the importance of various hypotheses in the results by providing counter examples.
Offers comprehensive coverage of all essential topics required for an introductory course in ODE.
Emphasizes on both computation of solutions to ODEs as well as the theoretical concepts like well-posedness, comparison results, stability etc.
Systematic presentation of insights of the nature of the solutions to linear/non-linear ODEs.
Special attention on the study of asymptotic behavior of solutions to autonomous ODEs (both for scalar case and 2?2 systems).
Sufficient number of examples are provided wherever a notion is introduced.
Contains a rich collection of problems.
This book serves as a text book for undergraduate students and a reference book for scientists and engineers. Broad coverage and clear presentation of the material indeed appeals to the readers.
Dr. Suman K. Tumuluri has been working in University of Hyderabad, India, for 11 years and at present he is an associate professor. His research interests include applications of partial differential equations in population dynamics and fluid dynamics.
Introduction. First order ODEs. Higher order linear ODEs. Boundary value problems. Systems of First order ODEs. Qualitative behavior of the Solutions. Series Solutions. The Laplace transforms. Numerical Methods. Appendix A. Appendix B. Appendix C. Bibliography. Index.
Copyright Year 2021
ISBN 9780367903947
March 14, 2021 Forthcoming by Chapman and Hall/CRC
224 Pages 40 B/W Illustrations
The book differs from most texts on dynamical system by blending the use of computer simulations with inquiry-based learning (IBL). Inquiry-based learning is an excellent tool to move students from merely remembering the material, to deeper understanding and analysis. The method relies on asking students questions first, rather than presenting the material in a lecture.
Another unique feature is the use of computer simulations. Students can discover examples and counterexamples through manipulations built into the software. These tools have long been used in the study of dynamical systems to visualize chaotic behavior.
We refer to this unique approach to teaching mathematics as ECAP for Explore, Conjecture, Apply, and Prove. ECAP was developed to mimic the actual practice of mathematics in an effort to provide students with a more holistic mathematical experience. In general, each section begins with exercises guiding students through explorations of the featured concept and concludes with exercises that help the student formally prove the result.
While symbolic dynamics is a standard topic in an undergraduate dynamics text, we have tried to emphasize it in a way that is more detailed and inclusive than is typically the case. Finally, we have chosen to include multiple sections on important ideas from analysis and topology independent from their application to dynamics.
Chapter 1: An Introduction to Dynamical Systems
Chapter 2: Sequences
Chapter 3: Fixed Points & Periodic Points
Chapter 4: Analysis of Fixed Points
Chapter 5: Bifurcations
Chapter 6: Examples of Global Dynamics
Chapter 7: The Tools of Global Dynamics
Chapter 8: Examples of Chaos
Chapter 9: From Fixed Points to Chaos
Chapter 10: Sarkovskii's Theorem
Chapter 11: Dynamical Systems on the Plane
Chapter 12: The Smale Horseshoe
Chapter 13: Generalized Symbolic Dynamics
Copyright Year 2021
ISBN 9780367187989
March 2, 2021 Forthcoming by Chapman and Hall/CRC
512 Pages 244 B/W Illustrations
This unique textbook combines traditional geometry presents a contemporary approach that is grounded in real-world applications. It balances the deductive approach with discovery learning, introduces axiomatic, Euclidean and non-Euclidean, and transformational geometry. The text integrates applications and examples throughout. The Third Edition offers many updates, including expaning on historical notes, Geometry and Its Applications is a significant text for any college or university that focuses on geometry's usefulness in other disciplines. It is especially appropriate for engineering and science majors, as well as future mathematics teachers.
The Third Edition streamlines the treatment from the previous two editions
Treatment of axiomatic geometry has been expanded
Nearly 300 applications from all fields are included
An emphasis on computer science-related applications appeals to student interest
Many new excercises keep the presentation fresh
Chapter 1
The Axiomatic Method in Geometry
Chapter 2
The Eucidean Heritage
Chapter 3
Non-Euclidean Geometry
Chapter 4
Transformation Geometry I: Isometries
Chapter 5
Vectors in Geometry
Chapter 6
Transformation Geometry II: Isometries and Matrices
Chapter 7
Transformation Geometry III: Similarity, Inversion and Projections
Chapter 8
Graphs, Maps and Polyhedra