Mathematics and Computation in Music, Elaine Chew; Adrian Childs; Ching-Hua Chuan

Автор: F. William Lawvere
Название: Conceptual Mathematics
ISBN: 052171916X ISBN-13(EAN): 9780521719162
Издательство: Cambridge Academ
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Описание: Conceptual Mathematics introduces the concept of category to beginning students and practising mathematical scientists based on a leisurely introduction to the important categories of directed graphs and discrete dynamical systems. The expanded second edition approaches more advanced topics via historical sketches and a concise introduction to adjoint functors.

Автор: Simmons
Название: Derivation and Computation
ISBN: 0521771730 ISBN-13(EAN): 9780521771733
Издательство: Cambridge Academ
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Описание: The is an introduction to simple type theory, exploring the relationship between proof and calculation. Each of its 52 sections ends with a set of exercises, some 200 in total. These are designed to help the reader get to grips with the subject. An appendix contains complete solutions to them.

Автор: Claude Bolduc; Jules Desharnais; Bechir Ktari
Название: Mathematics of Program Construction
ISBN: 3642133207 ISBN-13(EAN): 9783642133206
Издательство: Springer
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Описание: Constitutes the refereed proceedings of the 10th International Conference on Mathematics of Program Construction, MPC 2010, held in Quebec City, Canada in June 2010. In this book, the 19 revised full papers presented together with 1 invited talk and the abstracts of 2 invited talks were carefully reviewed and selected from 37 submissions.

Автор: Jianer Chen; Fedor V. Fomin
Название: Parameterized and Exact Computation
ISBN: 3642112684 ISBN-13(EAN): 9783642112683
Издательство: Springer
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Описание: 4th International Workshop IWPEC 2009 Copenhagen Denmark September 1011 2009 Revised Selected Paper. .

Автор: R?misch
Название: Mathematical Analysis and the Mathematics of Computation
ISBN: 3319427539 ISBN-13(EAN): 9783319427539
Издательство: Springer
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Описание: This book is a comprehensive, unifying introduction to the field of mathematical analysis and the mathematics of computing. It develops the relevant theory at a modern level and it directly relates modern mathematical ideas to their diverse applications.The authors develop the whole theory. Starting with a simple axiom system for the real numbers, they then lay the foundations, developing the theory, exemplifying where it's applicable, in turn motivating further development of the theory. They progress from sets, structures, and numbers to metric spaces, continuous functions in metric spaces, linear normed spaces and linear mappings; and then differential calculus and its applications, the integral calculus, the gamma function, and linear integral operators. They then present important aspects of approximation theory, including numerical integration. The remaining parts of the book are devoted to ordinary differential equations, the discretization of operator equations, and numerical solutions of ordinary differential equations.This textbook contains many exercises of varying degrees of difficulty, suitable for self-study, and at the end of each chapter the authors present more advanced problems that shed light on interesting features, suitable for classroom seminars or study groups. It will be valuable for undergraduate and graduate students in mathematics, computer science, and related fields such as engineering. This is a rich field that has experienced enormous development in recent decades, and the book will also act as a reference for graduate students and practitioners who require a deeper understanding of the methodologies, techniques, and foundations.

Автор: Hans Munthe-Kaas; Brynjulf Owren
Название: Mathematics and Computation, a Contemporary View
ISBN: 3642088414 ISBN-13(EAN): 9783642088414
Издательство: Springer
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Описание: The 2006 Abel symposium focused on contemporary research involving interaction between computer science, computational science and mathematics. This volume presents a snapshot of current state-of-the-art, and raises questions about future research directions.

Автор: Mertens Stephan, Moore Cristopher
Название: The Nature of Computation
ISBN: 0199233217 ISBN-13(EAN): 9780199233212
Издательство: Oxford Academ
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Описание: Why are some problems easy to solve, while others seem nearly impossible? What can we compute with a given amount of time or memory, and what cannot be computed at all? How will quantum physics change the landscape of computation? This book gives a playful and accessible introduction to the deep ideas of theoretical computer science.

Автор: Miroslaw Kutylowski; Maciej Gebala; Witold Charato
Название: Fundamentals of Computation Theory
ISBN: 364203408X ISBN-13(EAN): 9783642034084
Издательство: Springer
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Описание: 17th International Symposium FCT 2009 Wroclaw Poland September 24 2009 Proceedings. .