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An Introduction to Multivariable Analysis from Vector to Manifold, Piotr Mikusinski; Michael D. Taylor


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Автор: Piotr Mikusinski; Michael D. Taylor
Название:  An Introduction to Multivariable Analysis from Vector to Manifold
ISBN: 9781461266006
Издательство: Springer
Классификация: ISBN-10: 1461266009
Обложка/Формат: Paperback
Страницы: 295
Вес: 0.44 кг.
Дата издания: 23.10.2012
Язык: English
Размер: 234 x 156 x 17
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Multivariable analysis is an important subject for mathematicians, both pure and applied. Apart from mathematicians, we expect that physicists, mechanical engi- neers, electrical engineers, systems engineers, mathematical biologists, mathemati- cal economists, and statisticians engaged in multivariate analysis will find this book extremely useful. The material presented in this work is fundamental for studies in differential geometry and for analysis in N dimensions and on manifolds. It is also of interest to anyone working in the areas of general relativity, dynamical systems, fluid mechanics, electromagnetic phenomena, plasma dynamics, control theory, and optimization, to name only several. An earlier work entitled An Introduction to Analysis: from Number to Integral by Jan and Piotr Mikusinski was devoted to analyzing functions of a single variable. As indicated by the title, this present book concentrates on multivariable analysis and is completely self-contained. Our motivation and approach to this useful subject are discussed below. A careful study of analysis is difficult enough for the average student; that of multi variable analysis is an even greater challenge. Somehow the intuitions that served so well in dimension I grow weak, even useless, as one moves into the alien territory of dimension N. Worse yet, the very useful machinery of differential forms on manifolds presents particular difficulties; as one reviewer noted, it seems as though the more precisely one presents this machinery, the harder it is to understand.


Автор: Shifrin
Название: Multivariable Mathematics - Linear Algebra, Multivariable Calculus and Manifolds
ISBN: 047152638X ISBN-13(EAN): 9780471526384
Издательство: Wiley
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Цена: 39116.00 р.
Наличие на складе: Ожидается поступление.

Описание: Combines linear algebra and multivariable mathematics in a rigorous approach. This book contains integrated material to emphasize the recurring theme of implicit versus explicit that persists in linear algebra and analysis.

Structural Analysis and Design of Multivariable Control Systems

Автор: Yih T. Tsay; Leang-San Shieh; Stephen Barnett
Название: Structural Analysis and Design of Multivariable Control Systems
ISBN: 3540189165 ISBN-13(EAN): 9783540189169
Издательство: Springer
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Цена: 12157.00 р.
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Описание: The purpose of this research monograph is to utilize algebraic and systems theory for the structure analysis and design of multivariable control systems described by state-space representations and matrix fraction descriptions.

A Complex Variable Approach to the Analysis of Linear Multivariable Feedback Systems

Автор: I. Postlethwaite; A.G.J. MacFarlane
Название: A Complex Variable Approach to the Analysis of Linear Multivariable Feedback Systems
ISBN: 3540093400 ISBN-13(EAN): 9783540093404
Издательство: Springer
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Цена: 14365.00 р.
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A Course in Multivariable Calculus and Analysis

Автор: Sudhir R. Ghorpade; Balmohan V. Limaye
Название: A Course in Multivariable Calculus and Analysis
ISBN: 1461425212 ISBN-13(EAN): 9781461425212
Издательство: Springer
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Цена: 7965.00 р.
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Описание: Calculus of real-valued functions of several real variables, also known as m- tivariable calculus, is a rich and fascinating subject. On the one hand, it seeks to extend eminently useful and immensely successful notions in one-variable calculus such as limit, continuity, derivative, and integral to "higher dim- sions. " On the other hand, the fact that there is much more room to move n about in the n-space R than on the real line R brings to the fore deeper geometric and topological notions that play a signi?cant role in the study of functions of two or more variables. Courses in multivariable calculus at an undergraduate level and even at an advanced level are often faced with the unenviable task of conveying the multifarious and multifaceted aspects of multivariable calculus to a student in the span of just about a semester or two. Ambitious courses and teachers would try to give some idea of the general Stokes's theorem for di?erential forms on manifolds as a grand generalization of the fundamental theorem of calculus, and prove the change of variables formula in all its glory. They would also try to do justice to important results such as the implicit function theorem, which really have no counterpart in one-variable calculus. Most courses would require the student to develop a passing acquaintance with the theorems of Green, Gauss, and Stokes, never mind the tricky questions about orientability, simple connectedness, etc.

Global Variational Analysis: Weierstrass Integrals on a Riemannian Manifold. (MN-16)

Автор: Morse Marston
Название: Global Variational Analysis: Weierstrass Integrals on a Riemannian Manifold. (MN-16)
ISBN: 0691617252 ISBN-13(EAN): 9780691617251
Издательство: Wiley
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Цена: 7920.00 р.
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Описание: This book builds upon the revolutionary discovery made in 1974 that when one passes from function f to a function J of paths joining two points A1?A1 the connectivities R1 of the domain of f can be replaced by connectivities R1 over Q, common to the pathwise components of a basic Frechet space of classes of equivalent curves joining A1 to A1. The c

Multivariable Analysis

Автор: Katz
Название: Multivariable Analysis
ISBN: 0521141079 ISBN-13(EAN): 9780521141079
Издательство: Cambridge Academ
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Цена: 9029.00 р.
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Описание: Now in its third edition, this highly successful text has been fully revised and updated. It describes how to perform and interpret multivariable analysis, using plain, non-mathematical language. It focuses on the nuts and bolts of performing research, and prepares the reader to perform and interpret multivariable models.

Manifold Mirrors

Автор: Cucker
Название: Manifold Mirrors
ISBN: 0521728762 ISBN-13(EAN): 9780521728768
Издательство: Cambridge Academ
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Цена: 3960.00 р.
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Описание: Felipe Cucker presents a unifying mathematical structure to explore the relationship between mathematics and the arts, including architecture, music, poetry and more. The book emerged from the author`s undergraduate course, but requiring only basic high-school knowledge of mathematics it makes a fascinating read for anyone interested in the arts.

Multivariable Feedback Control: Analysis and Design, 2nd Edition

Автор: Sigurd Skogestad, Ian Postlethwaite
Название: Multivariable Feedback Control: Analysis and Design, 2nd Edition
ISBN: 047001167X ISBN-13(EAN): 9780470011676
Издательство: Wiley
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Цена: 24386.00 р.
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Описание: Multivariable Feedback Control: Analysis and Design, Second Edition presents a rigorous, yet easily readable, introduction to the analysis and design of robust multivariable control systems.

Multivariable Feedback Control: Analysis and Design, 2nd Edition

Автор: Sigurd Skogestad
Название: Multivariable Feedback Control: Analysis and Design, 2nd Edition
ISBN: 0470011688 ISBN-13(EAN): 9780470011683
Издательство: Wiley
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Цена: 7754.00 р.
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Описание: Multivariable Feedback Control: Analysis and Design, Second Edition presents a rigorous, yet easily readable, introduction to the analysis and design of robust multivariable control systems.

Multivariable Analysis

Автор: Griffith B. Price
Название: Multivariable Analysis
ISBN: 1461297478 ISBN-13(EAN): 9781461297475
Издательство: Springer
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Цена: 11173.00 р.
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