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Mathematical Analysis / An Introduction, Browder Andrew


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Автор: Browder Andrew
Название:  Mathematical Analysis / An Introduction
Перевод названия: Математический анализ / Введение
ISBN: 9780387946146
Издательство: Springer
Классификация:

ISBN-10: 0387946144
Обложка/Формат: Hardback
Страницы: 333
Вес: 1.49 кг.
Дата издания: 2001
Серия: Undergraduate Texts in Mathematics
Язык: English
Иллюстрации: 5 black & white illustrations, 5 black & white lin
Размер: 24.36 x 16.00 x 2.18
Читательская аудитория: Undergraduate
Подзаголовок: An introduction
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Германии
Описание: This is a textbook containing more than enough material for a year-long course in analysis at the advanced undergraduate or beginning graduate level.The book begins with a brief discussion of sets and mappings, describes the real number field, and proceeds to a treatment of real-valued functions of a real variable. Separate chapters are devoted to the ideas of convergent sequences and series, continuous functions, differentiation, and the Riemann integral. The middle chapters cover general topology and a miscellany of applications: the Weierstrass and Stone-Weierstrass approximation theorems, the existence of geodesics in compact metric spaces, elements of Fourier analysis, and the Weyl equidistribution theorem. Next comes a discussion of differentiation of vector-valued functions of several real variables, followed by a brief treatment of measure and integration (in a general setting, but with emphasis on Lebesgue theory in Euclidean space). The final part of the book deals with manifolds, differential forms, and Stokes theorem, which is applied to prove Brouwers fixed point theorem and to derive the basic properties of harmonic functions, such as the Dirichlet principle.
Дополнительное описание: Илюстрации: 5
Круг читателей: Undergraduate math students, graduate math students
Язык: eng
Издание: 1st ed. 1996. Corr. 3rd p
Оглавление: 1 Real Functions 2 Sequences and Series 3 Continuous Functions on Intervals 4 Differentiation 5 The Riemann Integral 6 Topology 7 Function Spaces 8 Differentiable Maps 9 Measures 10 Integration 11 Manifolds 12 Multilinear Algebra 13 Differential Forms 14 Integration on Manifolds




      Новое издание
Mathematical Analysis: An Introduction

Автор: Browder Andrew
Название: Mathematical Analysis: An Introduction
ISBN: 1461268796 ISBN-13(EAN): 9781461268796
Издательство: Springer
Цена: 6981.00 р.
Наличие на складе: Есть у поставщикаПоставка под заказ.
Описание: This is a textbook suitable for a year-long course in analysis at the ad- vanced undergraduate or possibly beginning-graduate level. It is intended for students with a strong background in calculus and linear algebra, and a strong motivation to learn mathematics for its own sake. At this stage of their education, such students are generally given a course in abstract algebra, and a course in analysis, which give the fundamentals of these two areas, as mathematicians today conceive them. Mathematics is now a subject splintered into many specialties and sub- specialties, but most of it can be placed roughly into three categories: al- gebra, geometry, and analysis. In fact, almost all mathematics done today is a mixture of algebra, geometry and analysis, and some of the most in- teresting results are obtained by the application of analysis to algebra, say, or geometry to analysis, in a fresh and surprising way. What then do these categories signify? Algebra is the mathematics that arises from the ancient experiences of addition and multiplication of whole numbers; it deals with the finite and discrete. Geometry is the mathematics that grows out of spatial experience; it is concerned with shape and form, and with measur- ing, where algebra deals with counting.


Mathematical Analysis - A Concise Introduction

Автор: Schroder
Название: Mathematical Analysis - A Concise Introduction
ISBN: 0470107960 ISBN-13(EAN): 9780470107966
Издательство: Wiley
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Цена: 16782.00 р.
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Описание: A self-contained introduction to the fundamentals of mathematical analysis Mathematical Analysis: A Concise Introduction presents the foundations of analysis and illustrates its role in mathematics.

A Topological Introduction to Nonlinear Analysis

Автор: Brown Robert F.
Название: A Topological Introduction to Nonlinear Analysis
ISBN: 0817632581 ISBN-13(EAN): 9780817632588
Издательство: Springer
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Цена: 6282.00 р.
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Описание: "The book is highly recommended as a text for an introductory course in nonlinear analysis and bifurcation theory . . . reading is fluid and very pleasant . . . style is informal but far from being imprecise." —MATHEMATICAL REVIEWS (Review of the First Edition) Here is a book that will be a joy to the mathematician or graduate student of mathematics---or even the well-prepared undergraduate---who would like, with a minimum of background and preparation, to understand some of the beautiful results at the heart of nonlinear analysis. Based on carefully expounded ideas from several branches of topology, and illustrated by a wealth of figures that attest to the geometric nature of the exposition, the book will be of immense help in providing its readers with an understanding of the mathematics of the nonlinear phenomena that characterize our real world.New to the second edition: New chapters will supply additional applications of the theory and techniques presented in the book. * Several new proofs, making the second edition more self-contained.

Principles of Mathematical Analysis

Автор: Rudin
Название: Principles of Mathematical Analysis
ISBN: 0070856133 ISBN-13(EAN): 9780070856134
Издательство: McGraw-Hill
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Цена: 10123.00 р.
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Описание: Provides tools to design and implement network-orientated applications in .NET. Written in two languages C# and VB.NET, this book covers information on Telephony in .NET and packet-level networking. It also addresses real-world issues facing professional developers, such as using third-party components as opposed in-house development.

Mathematical Introduction to Compressive Sensing

Автор: Foucart Simon
Название: Mathematical Introduction to Compressive Sensing
ISBN: 0817649476 ISBN-13(EAN): 9780817649470
Издательство: Springer
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Цена: 9781.00 р.
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Описание: At the intersection of mathematics, engineering, and computer science sits the thriving field of compressive sensing. A Mathematical Introduction to Compressive Sensing uses a mathematical perspective to present the core of the theory underlying compressive sensing.

An Introduction to Multivariate Statistical Analysis, Third Edition

Автор: T. W. Anderson
Название: An Introduction to Multivariate Statistical Analysis, Third Edition
ISBN: 0471360910 ISBN-13(EAN): 9780471360919
Издательство: Wiley
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Цена: 27712.00 р.
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Описание: Uses the method of maximum likelihood to a large extent to ensure reasonable, and in some cases optimal procedures. This work treats the basic and important topics in multivariate statistics.


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