Introduction to Multivariable Analysis from Vector to Manifold

Mikusinski, Piotr; Taylor, Michael D.

ISBN 10: 1461266009 ISBN 13: 9781461266006

Published by Birkhäuser, 2012

Language: English

Condition: New Soft cover

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Bibliographic Details

Title

Introduction to Multivariable Analysis from Vector to Manifold

Publisher

Birkh�user

Publication Date

2012

Language

English

ISBN 10

1461266009

ISBN 13

9781461266006

Binding

Soft cover

Condition

New

Seller catalogs

About this title

Synopsis

Multivariable analysis is of interest to pure and applied mathematicians, physicists, electrical, mechanical and systems engineers, mathematical economists, biologists, and statisticians. This book takes the student/researcher on a journey through the core topics of the subject. Systematic exposition, with numerous examples and exercises from the computational to the theoretical, makes difficult ideas as concrete as possible. Good bibliography and index. May be used as a classroom text or self-study resource. Prerequisites are a one-semester undergraduate course in advanced calculus or analysis, and linear algebra.

Review

"This is a self-contained textbook devoted to multivariable analysis based on nonstandard geometrical methods. The book can be used either as a supplement to a course on single variable analysis or as a semester-long course introducing students to manifolds and differential forms." ―Mathematical Reviews

"The authors strongly motivate the abstract notions by a lot of intuitive examples and pictures. The exercises at the end of each section range from computational to theoretical. The book is highly recommended for undergraduate or graduate courses in multivariable analysis for students in mathematics, physics, engineering, and economics." ―Studia Universitatis Babes-Bolyai, Series Mathematica

"All this [the description on the book's back cover] is absolutely true, but omits any statement attesting to the high quality of the writing and the high level of mathematical scholarship. So, go and order a copy of this attractively produced, and nicely composed, scholarly tome. If you're not teaching this sort of mathematics, this book will inspire you to do so." ―MAA Reviews

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