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, Sard's theorem , the Weierstrass approximation theorem, the Fourier transform, Vector fields on spheres, Brouwer's fixed point theorem, Whitney's embedding theorem, Picard's theorem, and Hermite polynomials are discussed in stared sections.

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**Book Description **World Scientific Publishing Co Pte Ltd, 2011. HRD. Book Condition: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # IP-9789814299268

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**Book Description **World Scientific Publishing Co Pte Ltd, Singapore, 2011. Hardback. Book Condition: New. 226 x 158 mm. Language: English . Brand New Book. 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, Sard s theorem , the Weierstrass approximation theorem, the Fourier transform, Vector fields on spheres, Brouwer s fixed point theorem, Whitney s embedding theorem, Picard s theorem, and Hermite polynomials are discussed in stared sections. Bookseller Inventory # AAJ9789814299268

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Published by
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ISBN 10: 981429926X
ISBN 13: 9789814299268

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**Book Description **World Scientific Publishing Co Pte Ltd, 2011. HRD. Book Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Bookseller Inventory # CA-9789814299268

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Published by
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**Book Description **World Scientific Publishing Co Pte Ltd, Singapore, 2011. Hardback. Book Condition: New. 226 x 158 mm. Language: English . Brand New Book. 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, Sard s theorem , the Weierstrass approximation theorem, the Fourier transform, Vector fields on spheres, Brouwer s fixed point theorem, Whitney s embedding theorem, Picard s theorem, and Hermite polynomials are discussed in stared sections. Bookseller Inventory # AAJ9789814299268

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**Book Description **World Scientific Publishing Co Pte Ltd, 2011. HRD. Book Condition: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Bookseller Inventory # IP-9789814299268

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**Book Description **World Scientific Publishing Co Pte Ltd. Hardback. Book Condition: new. BRAND NEW, Functions of Several Real Variables, Martin A. Moskowitz, Fotios Paliogiannis, 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. Bookseller Inventory # B9789814299268

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**Book Description **World Scientific Publishing Co Pte Ltd 2011-06-29, 2011. Book Condition: New. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Bookseller Inventory # NU-ING-00802055

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**Book Description **World Scientific Publishing Company, Incorporated. Book Condition: New. pp. 732. Bookseller Inventory # 6432471

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**Book Description **World Scientific Publishing Company. Hardcover. Book Condition: New. Hardcover. 600 pages. Dimensions: 8.9in. x 6.2in. x 1.7in.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, Lagranges multiplier rule, Fubinis theorem, the change of variables formula, Greens, 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 Morses lemma, Sards theorem , the Weierstrass approximation theorem, the Fourier transform, Vector fields on spheres, Brouwers fixed point theorem, Whitneys embedding theorem, Picards theorem, and Hermite polynomials are discussed in stared sections. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Hardcover. Bookseller Inventory # 9789814299268

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**Book Description **2011. Hardcover. Book Condition: New. 152mm x 43mm x 231mm. Hardcover. 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, c.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 716 pages. 1.179. Bookseller Inventory # 9789814299268

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