Математика
  • формат djvu
  • размер 2.12 МБ
  • добавлен 11 августа 2011 г.
Nahin P.J. Chases and Escapes: The Mathematics of Pursuit and Evasion
Princeton University Press, 2007. - 270 pages.

We all played tag when we were kids. The rules couldn't be easier-one player is designated "it" and must try to tag out one of the others. What most of us don't realize is that this simple chase game is in fact an application of pursuit theory, and that the same principles of games like tag, dodgeball, and hide-and-seek are at play in military strategy, high-seas chases by the Coast Guard, even romantic pursuits. In Chases and Escapes, Paul Nahin gives us the first complete history of this fascinating area of mathematics.

Writing in an accessible style that has been enjoyed by popular-math enthusiasts everywhere, Nahin traces the development of mode pursuit theory from its classical analytical beginnings to the present day. Along the way, he informs his mathematical discussions with fun facts and captivating stories. Nahin invites readers to explore the different approaches to solving various chase-and-escape problems. He draws upon game theory, geometry, linear algebra, target-tracking algorithms-and much more. Nahin offers an array of challenging puzzles for beginners on up, providing historical background for each problem and explaining how each one can be applied more broadly. Chases and Escapes includes solutions to all problems and provides computer programs that readers can use for their own cutting-edge analysis.

This informative and entertaining book is the first comprehensive treatment of the subject, one that is sure to appeal to anyone interested in the mathematics that underlie the all-too-human endeavor of pursuit and evasion.
Похожие разделы
  1. Академическая и специальная литература
  2. Информатика и вычислительная техника
  3. Кибернетика
  1. Академическая и специальная литература
  2. Математика
  3. Дискретная математика
  4. Теория графов
  1. Академическая и специальная литература
  2. Математика
  3. Исследование операций
  1. Академическая и специальная литература
  2. Математика
  3. Методы оптимизации
  1. Академическая и специальная литература
  2. Математика
  3. Теория вероятностей и математическая статистика
  4. Теория вероятностей
  5. Теория массового обслуживания (теория очередей)
  1. Академическая и специальная литература
  2. Математика
  3. Теория игр
  1. Академическая и специальная литература
  2. Финансово-экономические дисциплины
  3. Математические методы и моделирование в экономике
  4. Исследование операций в экономике
  1. Академическая и специальная литература
  2. Финансово-экономические дисциплины
  3. Методы принятия решений в экономике
Смотрите также

Ba?ar T., Olsder G.J. Dynamic Noncooperative Game Theory

  • формат djvu
  • размер 3.88 МБ
  • добавлен 06 февраля 2012 г.
Society for Industrial and Applied Mathematics, 1999, -536 pp. This is the revised second edition of our 1982 book with the same title, which presents a rather comprehensive treatment of static and dynamic noncooperative game theory, with emphasis placed (as in the first and second editions) on the interplay between dynamic information patterns and the structural properties of several different types of equilibria. Whereas the second edition (19...

Brams S.J. Mathematics and Democracy: Designing Better Voting and Fair-Division Procedures

  • формат pdf
  • размер 2 МБ
  • добавлен 27 декабря 2011 г.
Princeton University Press, 2007. - 390 pages. Voters today often desert a preferred candidate for a more viable second choice to avoid wasting their vote. Likewise, parties to a dispute often find themselves unable to agree on a fair division of contested goods. In Mathematics and Democracy, Steven Brams, a leading authority in the use of mathematics to design decision-making processes, shows how social-choice and game theory could make politi...

Clark R. Meaningful Games: Exploring Language with Game Theory

  • формат pdf
  • размер 2.16 МБ
  • добавлен 27 декабря 2011 г.
The MIT Press, 2012. - 376 pages. In Meaningful Games, Robin Clark explains in an accessible manner the usefulness of game theory in thinking about a wide range of issues in linguistics. Clark argues that we use grammar strategically to signal our intended meanings: our choices as speaker are conditioned by what choices the hearer will make interpreting what we say. Game theory-according to which the outcome of a decision depends on the choices...

Dugatkin L.A., Reeve H.K. (editors) Game Theory and Animal Behavior

  • формат pdf
  • размер 18.26 МБ
  • добавлен 15 августа 2011 г.
Oxford University Press, 2000. - 336 Pages. Game theory has revolutionized the study of animal behavior. The fundamental principle of evolutionary game theory - that the strategy adopted by one individual depends on the strategies exhibited by others - has proven a powerful tool in uncovering the forces shaping otherwise mysterious behaviors. In this volume, the first since 1982 devoted to evolutionary game theory, leading researchers describe a...

Isaacs R. Differential Games: A Mathematical Theory with Applications to Warfare and Pursuit, Control and Optimization

  • формат pdf
  • размер 16.15 МБ
  • добавлен 12 декабря 2010 г.
Dover Publications, 1999. - 408 pages. One of the definitive works in game theory, this volume takes an original and expert look at conflict solutions. Drawing on game theory, the calculus of variations, and control theory, the author solves an amazing array of problems relating to military situations, pursuit and evasion tactics, games of firing and maneuver, athletic contests, and many more. Clearly detailed examples; numerous formal calculati...

Martin Osborne, Ariel Rubinstein (Мартин Осборн, Ариел Рубенштейн) - A Course in Game Theory (Курс теории игр)

  • формат pdf
  • размер 15.79 МБ
  • добавлен 02 августа 2010 г.
Строго изложены основные вопросы предмета, после каждой главы имеется список задач различной сложности. A Course in Game Theory presents the main ideas of game theory at a level suitable for graduate students and advanced undergraduates, emphasizing the theory's foundations and interpretations of its basic concepts. The authors provide precise definitions and full proofs of results, sacrificing generalities and limiting the scope of the material...