Calculus III, Jerrold Marsden; Alan Weinstein

Название: Advanced Calculus
ISBN: 9814583936 ISBN-13(EAN): 9789814583930
Издательство: World Scientific Publishing
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Описание: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

Автор: Watson Fulks
Название: Advanced Calculus: An Introduction to Analysis
ISBN: 0471021954 ISBN-13(EAN): 9780471021957
Издательство: Wiley
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Описание: Introduces analysis, presenting analytical proofs backed by geometric intuition and placing minimum reliance on geometric argument. This edition separates continuity and differentiation and expands coverage of integration to include discontinuous functions.

Автор: Richardson
Название: Advanced Calculus - An Introduction to Linear Analysis
ISBN: 0470232889 ISBN-13(EAN): 9780470232880
Издательство: Wiley
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Описание: - Advanced Calculus highlights the connections between calculus and linear algebra in an effort to prepare readers for more advanced mathematical topics. - Gradually guides the reader from the study of topology of the real line to the beginning theorems and concepts of graduate analysis, expressed from a modern viewpoint.

Автор: Emil De Souza Sanchez Filho
Название: Tensor Calculus for Engineers and Physicists
ISBN: 3319315196 ISBN-13(EAN): 9783319315195
Издательство: Springer
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Цена: 13974.00 р.
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Описание:

This textbook provides a rigorous approach to tensor manifolds in several aspects relevant for Engineers and Physicists working in industry or academia. With a thorough, comprehensive, and unified presentation, this book offers insights into several topics of tensor analysis, which covers all aspects of n-dimensional spaces.

The main purpose of this book is to give a self-contained yet simple, correct and comprehensive mathematical explanation of tensor calculus for undergraduate and graduate students and for professionals. In addition to many worked problems, this book features a selection of examples, solved step by step. Although no emphasis is placed on special and particular problems of Engineering or Physics, the text covers the fundamentals of these fields of science. The book makes a brief introduction into the basic concept of the tensorial formalism so as to allow the reader to make a quick and easy review of the essential topics that enable having the grounds for the subsequent themes, without needing to resort to other bibliographical sources on tensors.

Chapter 1 deals with Fundamental Concepts about tensors and chapter 2 is devoted to the study of covariant, absolute and contravariant derivatives. The chapters 3 and 4 are dedicated to the Integral Theorems and Differential Operators, respectively. Chapter 5 deals with Riemann Spaces, and finally the chapter 6 presents a concise study of the Parallelism of Vectors. It also shows how to solve various problems of several particular manifolds.

Автор: Mark Ryan
Название: Calculus For Dummies
ISBN: 1119293499 ISBN-13(EAN): 9781119293491
Издательство: Wiley
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Цена: 2850.00 р.
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Описание: Calculus For Dummies, 2nd Edition (9781119293491) was previously published as Calculus For Dummies, 2nd Edition (9781118791295). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product.

Автор: K?rner
Название: Calculus for the Ambitious
ISBN: 1107686741 ISBN-13(EAN): 9781107686748
Издательство: Cambridge Academ
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Описание: This short introduction is perfect for any 16- to 18-year-old, about to begin studies in mathematics, or anyone who would like to see a different account of the calculus from that given in the standard texts. Easy to read, this book will enthuse a new generation of mathematicians.