A Course in Functions of Several Real Variables PDF ePub eBook

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A Course in Functions of Several Real Variables free pdf 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 are proved in detail and many of them with novel proofs. The authors develop the theory in a logical sequence building one theorem upon the other, enriching the development with numerous explanatory remarks and historical footnotes. In this title, a number of well chosen illustrative examples and counter-examples clarify the theory and teach the reader how to apply it to solve problems in mathematics and 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, Brouwer's fixed point theorem, Picard's theorem and the Weierstrass approximation theorem are discussed in stared sections.

About Martin Moskowitz

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Details Book

Author : Martin Moskowitz
Publisher : World Scientific Publishing Co Pte Ltd
Data Published : 04 January 2020
ISBN : 9814299278
EAN : 9789814299275
Format Book : PDF, Epub, DOCx, TXT
Number of Pages : 450 pages
Age + : 18 years
Language : English
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  • A Course in Functions of Several Real Variables free pdfA Course in Functions of Several Real Variables

    . 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,