From
Better World Books, Mishawaka, IN, U.S.A.
Seller rating 5 out of 5 stars
AbeBooks Seller since August 3, 2006
Used book that is in almost brand-new condition. Seller Inventory # 17327034-6
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.
From the Back Cover: 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.
Title: Functions of Several Real Variables
Publisher: World Scientific Publishing Co Pte Ltd
Publication Date: 2011
Binding: Soft cover
Condition: Fine
Edition: 1st Edition.
Seller: -OnTimeBooks-, Phoenix, AZ, U.S.A.
Condition: very_good. Gently read. May have name of previous ownership, or ex-library edition. Binding tight; spine straight and smooth, with no creasing; covers clean and crisp. Minimal signs of handling or shelving. 100% GUARANTEE! Shipped with delivery confirmation, if you're not satisfied with purchase please return item for full refund. Ships USPS Media Mail. Seller Inventory # OTV.9814299278.VG
Seller: GoldBooks, Denver, CO, U.S.A.
Condition: new. Seller Inventory # 42L63_31_9814299278
Seller: Majestic Books, Hounslow, United Kingdom
Condition: New. pp. 732. Seller Inventory # 6432470
Quantity: 1 available
Seller: Basi6 International, Irving, TX, U.S.A.
Condition: Brand New. New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. Seller Inventory # ABEOCT25-298459
Seller: Romtrade Corp., STERLING HEIGHTS, MI, U.S.A.
Condition: New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide. Seller Inventory # ABNR-257700
Seller: Books Puddle, New York, NY, U.S.A.
Condition: New. pp. 732 Illustrated edition. Seller Inventory # 261415433
Seller: Biblios, Frankfurt am main, HESSE, Germany
Condition: New. pp. 732. Seller Inventory # 181415427
Quantity: 1 available
Seller: ALLBOOKS1, Direk, SA, Australia
Brand new book. Fast ship. Please provide full street address as we are not able to ship to P O box address. Seller Inventory # SHAK298459
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Condition: New. Seller Inventory # ABLIING23Apr0412070098207
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Condition: New. Seller Inventory # 9617570-n