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Mathematics Form and Function, Saunders MacLane


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Цена: 14533.00р.
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Автор: Saunders MacLane   (Саундерс МакЛейн)
Название:  Mathematics Form and Function
Перевод названия: Саундерс МакЛейн: Математическая форма и функции
ISBN: 9781461293408
Издательство: Springer
Классификация:

ISBN-10: 1461293405
Обложка/Формат: Paperback
Страницы: 476
Вес: 0.68 кг.
Дата издания: 26.09.2011
Язык: English
Издание: Softcover reprint of
Иллюстрации: 476 p.
Размер: 237 x 155 x 26
Читательская аудитория: Professional & vocational
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book records my efforts over the past four years to capture in words a description of the form and function of Mathematics, as a background for the Philosophy of Mathematics. My efforts have been encouraged by lec- tures that I have given at Heidelberg under the auspices of the Alexander von Humboldt Stiftung, at the University of Chicago, and at the University of Minnesota, the latter under the auspices of the Institute for Mathematics and Its Applications. Jean Benabou has carefully read the entire manuscript and has offered incisive comments.

George Glauberman, Car- los Kenig, Christopher Mulvey, R. Narasimhan, and Dieter Puppe have provided similar comments on chosen chapters. Fred Linton has pointed out places requiring a more exact choice of wording.

Many conversations with George Mackey have given me important insights on the nature of Mathematics. I have had similar help from Alfred Aeppli, John Gray, Jay Goldman, Peter Johnstone, Bill Lawvere, and Roger Lyndon. Over the years, I have profited from discussions of general issues with my colleagues Felix Browder and Melvin Rothenberg.

Ideas from Tammo Tom Dieck, Albrecht Dold, Richard Lashof, and Ib Madsen have assisted in my study of geometry. Jerry Bona and B. L.

Foster have helped with my examina- tion of mechanics. My observations about logic have been subject to con- structive scrutiny by Gert Miiller, Marian Boykan Pour-El, Ted Slaman, R. Voreadou, Volker Weispfennig, and Hugh Woodin.




Functional Analysis in Computational Mathematics / An Introduction

Автор: Lebedev V.I.
Название: Functional Analysis in Computational Mathematics / An Introduction
ISBN: 0817638881 ISBN-13(EAN): 9780817638887
Издательство: Springer
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Цена: 10901.00 р.
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Описание: Presents the basics of functional analysis, as well as elements of variational equations (on the basis of bi-linear forms), including the Vishik-Lax-Milgram theorem and of generalized solutions of eliptic problems. Sobolev spaces and embedding theorems are introduced.

Computational Experiment Approach to Advanced Secondary Mathematics Curriculum

Автор: Sergei Abramovich
Название: Computational Experiment Approach to Advanced Secondary Mathematics Curriculum
ISBN: 9402401660 ISBN-13(EAN): 9789402401660
Издательство: Springer
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Цена: 15372.00 р.
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Описание: This book will help teachers introduce pre-college students to the ideas that develop the foundation of the engineering profession. It presents modeling activities in both technology-enabled and technology-immune approaches.

Mathematics Behind Biological Invasions

Название: Mathematics Behind Biological Invasions
ISBN: 3319320424 ISBN-13(EAN): 9783319320427
Издательство: Springer
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Цена: 9362.00 р.
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Описание: This book investigates the mathematical analysis of biological invasions. While based on the theory of dynamical systems, including partial differential equations and integrodifference equations, the book also draws on information theory, machine learning, Monte Carlo methods, optimal control, statistics, and stochastic processes.

Advances in Applied Mathematics and Global Optimization

Автор: David Y. Gao; Hanif D. Sherali
Название: Advances in Applied Mathematics and Global Optimization
ISBN: 1441945407 ISBN-13(EAN): 9781441945402
Издательство: Springer
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Цена: 27251.00 р.
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Описание: Written by leading experts in complementarity, duality, global optimization, and quantum computations, this collection, in honor of Gilbert Strang, reveals the beauty of these mathematical disciplines and investigates recent developments in related subjects.

Lectures on Numerical Mathematics

Автор: H. Rutishauser
Название: Lectures on Numerical Mathematics
ISBN: 1461280354 ISBN-13(EAN): 9781461280354
Издательство: Springer
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Цена: 11173.00 р.
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Описание: The first seven chapters discuss the direct solution of systems of linear equations, the solution of nonlinear systems, least squares prob- lems, interpolation by polynomials, numerical quadrature, and approxima- tion by Chebyshev series and by Remez` algorithm.

Mathematical Analysis and the Mathematics of Computation

Автор: R?misch
Название: Mathematical Analysis and the Mathematics of Computation
ISBN: 3319427539 ISBN-13(EAN): 9783319427539
Издательство: Springer
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Цена: 9781.00 р.
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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.

Methods of Applied Mathematics with a Software Overview

Автор: Davis
Название: Methods of Applied Mathematics with a Software Overview
ISBN: 3319433695 ISBN-13(EAN): 9783319433691
Издательство: Springer
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Цена: 12577.00 р.
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Описание: This textbook, now in its second edition, provides students with a firm grasp of the fundamental notions and techniques of applied mathematics as well as the software skills to implement them. The text emphasizes the computational aspects of problem solving as well as the limitations and implicit assumptions inherent in the formal methods. Readers are also given a sense of the wide variety of problems in which the presented techniques are useful.Broadly organized around the theme of applied Fourier analysis, the treatment covers classical applications in partial differential equations and boundary value problems, and a substantial number of topics associated with Laplace, Fourier, and discrete transform theories. Some advanced topics are explored in the final chapters such as short-time Fourier analysis and geometrically based transforms applicable to boundary value problems. The topics covered are useful in a variety of applied fields such as continuum mechanics, mathematical physics, control theory, and signal processing.Replete with helpful examples, illustrations, and exercises of varying difficulty, this text can be used for a one- or two-semester course and is ideal for students in pure and applied mathematics, physics, and engineering.Key features of the software overview:Now relies solely on the free software tools Octave, Maxima, and Python.Appendix introduces all of these tools at a level suitable to those with some programming experienceProvides references to sources of further learning.Code snippets incorporated throughout the text. All graphics and illustrations generated using these tools.Praise for the first edition:“The author mixed in a remarkable way theoretical results and applications illustrating the results. Flexibility of presentation (increasing and decreasing level of rigor, accessibility) is a key feature...The book contains extensive examples, presented in an intuitive way with high quality figures (some of them quite spectacular)…” – Mathematica “...Davis's book has many novel features being quite different from most other textbooks on applied mathematics.... Mainly it has a clear and consistent exposition with a strong focus on mathematical fundamentals and useful techniques. It has numerous extensive examples, illustrations, comments, and a very modern graphical presentation of results.“…The book has style. Every theorem and mathematical result has a wonderful appealing comment.” – Studies in Informatics and Control


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