# Multivariable Analysis

## Satish Shirali; Harkrishan Lal Vasudeva

3,5 valoración promedio
( 2 valoraciones por Goodreads )

This book provides a rigorous treatment of multivariable differential and integral calculus. Implicit function theorem and the inverse function theorem based on total derivatives is explained along with the results and the connection to solving systems of equations. There is an extensive treatment of extrema, including constrained extrema and Lagrange multipliers, covering both first order necessary conditions and second order sufficient conditions. The material on Riemann integration in n dimensions, being delicate by its very nature, is discussed in detail. Differential forms and the general Stokes' Theorem are expounded in the last chapter. With a focus on clarity rather than brevity, this text gives clear motivation, definitions and examples with transparent proofs. Much of the material included is published for the first time in textbook form, for example Schwarz' Theorem in Chapter 2 and double sequences and sufficient conditions for constrained extrema in Chapter 4. A wide selection of problems, ranging from simple to more challenging, are included with carefully formed solutions. Ideal as a classroom text or a self study resource for students, this book will appeal to higher level undergraduates in Mathematics.

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From the Back Cover:

This book provides a rigorous treatment of multivariable differential and integral calculus. Inverse and implicit function theorems based on total derivatives are given and the connection with solving systems of equations is included. There is an extensive treatment of extrema, including constrained extrema and Lagrange multipliers, covering both first order necessary conditions and second order sufficient conditions. The material on Riemann integration in n dimensions, being delicate by its very nature, is discussed in detail. Differential forms and the general Stokes' Theorem are explained in the last chapter.

With a focus on clarity rather than brevity, this text gives clear motivation, definitions and examples with transparent proofs. Some of the material included is difficult to find in most texts, for example, double sequences in Chapter 2, Schwarz’ Theorem in Chapter 3 and sufficient conditions for constrained extrema in Chapter 5. A wide selection of problems, ranging from simple to challenging, is included with carefully written solutions. Ideal as a classroom text or a self study resource for students, this book will appeal to higher level undergraduates in Mathematics.

Review:

From the reviews:

“This is a textbook for a rigorous multivariable analysis course, intended for an undergraduate audience of juniors and seniors ... . The book also includes some material not easily found in the existing literature. ... also contains detailed solutions to many of its exercise; in fact, almost one-quarter of the book is devoted to solutions. ... the book very attractive to people interested in self-study, as well as to instructors using different books who are looking for a source of additional problems for their classes.” (Mark Hunacek, The Mathematical Association of America, November, 2011)

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## 1.Multivariable Analysis (Paperback)

Editorial: Springer London Ltd, United Kingdom (2010)
ISBN 10: 0857291912 ISBN 13: 9780857291912
Librería
The Book Depository
(London, Reino Unido)
Valoración

Descripción Springer London Ltd, United Kingdom, 2010. Paperback. Estado de conservación: New. 2011 ed.. Language: English . Brand New Book. This book provides a rigorous treatment of multivariable differential and integral calculus. Implicit function theorem and the inverse function theorem based on total derivatives is explained along with the results and the connection to solving systems of equations. There is an extensive treatment of extrema, including constrained extrema and Lagrange multipliers, covering both first order necessary conditions and second order sufficient conditions. The material on Riemann integration in n dimensions, being delicate by its very nature, is discussed in detail. Differential forms and the general Stokes Theorem are expounded in the last chapter. With a focus on clarity rather than brevity, this text gives clear motivation, definitions and examples with transparent proofs. Much of the material included is published for the first time in textbook form, for example Schwarz Theorem in Chapter 2 and double sequences and sufficient conditions for constrained extrema in Chapter 4. A wide selection of problems, ranging from simple to more challenging, are included with carefully formed solutions. Ideal as a classroom text or a self study resource for students, this book will appeal to higher level undergraduates in Mathematics. Nº de ref. de la librería LIB9780857291912

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## 2.Multivariable Analysis

Editorial: Springer London Ltd (2010)
ISBN 10: 0857291912 ISBN 13: 9780857291912
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Pbshop
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Descripción Springer London Ltd, 2010. PAP. Estado de conservación: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IQ-9780857291912

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## 3.Multivariable Analysis (Paperback)

Editorial: Springer London Ltd, United Kingdom (2010)
ISBN 10: 0857291912 ISBN 13: 9780857291912
Librería
The Book Depository US
(London, Reino Unido)
Valoración

Descripción Springer London Ltd, United Kingdom, 2010. Paperback. Estado de conservación: New. 2011 ed.. Language: English . Brand New Book. This book provides a rigorous treatment of multivariable differential and integral calculus. Implicit function theorem and the inverse function theorem based on total derivatives is explained along with the results and the connection to solving systems of equations. There is an extensive treatment of extrema, including constrained extrema and Lagrange multipliers, covering both first order necessary conditions and second order sufficient conditions. The material on Riemann integration in n dimensions, being delicate by its very nature, is discussed in detail. Differential forms and the general Stokes Theorem are expounded in the last chapter. With a focus on clarity rather than brevity, this text gives clear motivation, definitions and examples with transparent proofs. Much of the material included is published for the first time in textbook form, for example Schwarz Theorem in Chapter 2 and double sequences and sufficient conditions for constrained extrema in Chapter 4. A wide selection of problems, ranging from simple to more challenging, are included with carefully formed solutions. Ideal as a classroom text or a self study resource for students, this book will appeal to higher level undergraduates in Mathematics. Nº de ref. de la librería LIB9780857291912

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## 4.Multivariable Analysis

Editorial: Springer (2010)
ISBN 10: 0857291912 ISBN 13: 9780857291912
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Descripción Springer, 2010. Estado de conservación: New. Nº de ref. de la librería L9780857291912

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## 5.Multivariable Analysis

Editorial: Springer London 2010-12-20, London (2010)
ISBN 10: 0857291912 ISBN 13: 9780857291912
Librería
Blackwell's
(Oxford, OX, Reino Unido)
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Descripción Springer London 2010-12-20, London, 2010. paperback. Estado de conservación: New. Nº de ref. de la librería 9780857291912

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## 6.Multivariable Analysis

Editorial: Springer London Ltd (2010)
ISBN 10: 0857291912 ISBN 13: 9780857291912
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Books2Anywhere
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Descripción Springer London Ltd, 2010. PAP. Estado de conservación: New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IQ-9780857291912

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## 7.Multivariable Analysis

Editorial: Springer (2016)
ISBN 10: 0857291912 ISBN 13: 9780857291912
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Ria Christie Collections
(Uxbridge, Reino Unido)
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Descripción Springer, 2016. Paperback. Estado de conservación: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Nº de ref. de la librería ria9780857291912_lsuk

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## 8.Multivariable Analysis

Editorial: Springer (2010)
ISBN 10: 0857291912 ISBN 13: 9780857291912
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Herb Tandree Philosophy Books
(Stroud, GLOS, Reino Unido)
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Descripción Springer, 2010. Paperback. Estado de conservación: NEW. 9780857291912 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. Nº de ref. de la librería HTANDREE0286329

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## 9.Multivariable Analysis

Editorial: Springer (2017)
ISBN 10: 0857291912 ISBN 13: 9780857291912
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Murray Media
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Descripción Springer, 2017. Paperback. Estado de conservación: New. Never used! This item is printed on demand. Nº de ref. de la librería 0857291912

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## 10.Multivariable Analysis

Editorial: Springer-Verlag Gmbh Dez 2010 (2010)
ISBN 10: 0857291912 ISBN 13: 9780857291912
Librería
Rheinberg-Buch
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Descripción Springer-Verlag Gmbh Dez 2010, 2010. Taschenbuch. Estado de conservación: Neu. Neuware - This book provides a rigorous treatment of multivariable differential and integral calculus. Implicit function theorem and the inverse function theorem based on total derivatives is explained along with the results and the connection to solving systems of equations. There is an extensive treatment of extrema, including constrained extrema and Lagrange multipliers, covering both first order necessary conditions and second order sufficient conditions. The material on Riemann integration in n dimensions, being delicate by its very nature, is discussed in detail. Differential forms and the general Stokes' Theorem are expounded in the last chapter.With a focus on clarity rather than brevity, this text gives clear motivation, definitions and examples with transparent proofs. Much of the material included is published for the first time in textbook form, for example Schwarz' Theorem in Chapter 2 and double sequences and sufficient conditions for constrained extrema in Chapter 4. A wide selection of problems, ranging from simple to more challenging, are included with carefully formed solutions. Ideal as a classroom text or a self study resource for students, this book will appeal to higher level undergraduates in Mathematics. 394 pp. Englisch. Nº de ref. de la librería 9780857291912

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