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Functions of Several Real Variables by Paliogiannis, Fotios; Moskowitz, Martin A is a nonfiction available to read on EtoBox.

What is Functions of Several Real Variables about?

This book begins with the basics of the geometry and topology of Euclidean space and continues with the main topics in the theory of functions of several real variables including limits, continuity, differentiation and integration. All topics and in particular, differentiation and integration, are treated in depth and with mathematical rigor. The classical theorems of differentiation and integration such as the Inverse and Implicit Function theorems, Lagrange's multiplier rule, Fubini's theorem, the change of variables formula, Green's, Stokes' and Gauss' theorems are proved in detail and many of them with novel proofs. The authors develop the theory in a logical sequence building one result upon the other, enriching the development with numerous explanatory remarks and historical footnotes. A number of well chosen illustrative examples and counter-examples clarify matters and teach the reader how to apply these results and solve problems in mathematics, the other sciences and economics. Each of the chapters concludes with groups of exercises and problems, many of them with detailed solutions while others with hints or final answers. More advanced topics, such as Morse's lemma, Sar

Who reads Functions of Several Real Variables?

Author

Paliogiannis, Fotios; Moskowitz, Martin A

Publisher

World Scientific Publishing Co Pte Ltd

Published

2011

Language

EN

ISBN

9789814299275

Category

nonfiction

Subjects

Mathematics, Stem