Introduction to Topology: Second Edition

Автор: Wall C. T. C.
Название: A geometric introduction to topology
ISBN: 0486678504 ISBN-13(EAN): 9780486678504
Издательство: Dover
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Цена: 1235.00 р.
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Описание: Intended to provide a first course in algebraic topology to advanced undergraduates, this book introduces homotopy theory, the duality theorem and the relation of topological ideas to other branches of pure mathematics. It is unique in not presupposing a course in general topology and in avoiding the use of simplexes. Exercises and problems at the end of each chapter. Indexes of terms and notations. 1972 edition.

Автор: Cinlar, Erhan
Название: Introduction to Stochastic Processes
ISBN: 0486497976 ISBN-13(EAN): 9780486497976
Издательство: Dover
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Цена: 4343.00 р.
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Описание: This clear presentation of the most fundamental models of random phenomena employs methods that recognize computer-related aspects of theory. The text emphasizes the modern viewpoint, in which the primary concern is the behavior of sample paths. By employing matrix algebra and recursive methods, rather than transform methods, it provides techniques readily adaptable to computing with machines.
Topics include probability spaces and random variables, expectations and independence, Bernoulli processes and sums of independent random variables, Poisson processes, Markov chains and processes, and renewal theory. Assuming some background in calculus but none in measure theory, the complete, detailed, and well-written treatment is suitable for engineering students in applied mathematics and operations research courses as well as those in a wide variety of other scientific fields. Many numerical examples, worked out in detail, appear throughout the text, in addition to numerous end-of-chapter exercises and answers to selected exercises.