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 ...
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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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Add this copy of Functions of Several Real Variables to cart. $15.09, fair condition, Sold by Valleys Books & More rated 4.0 out of 5 stars, ships from Roanoke, VA, UNITED STATES, published 2011 by WSPC.
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Fair. A heavily used but readable copy. All text pages are present and legible. The cover and binding may be worn or slightly damaged. May be an older version with a different cover than what is shown in photos. Notes highlighting or minor water damage may be present. "From the library of" labels and missing extras like CDs or codes or dust jackets are possible.
Add this copy of Functions of Several Real Variables to cart. $17.97, very good condition, Sold by Suffolk Books rated 5.0 out of 5 stars, ships from center moriches, NY, UNITED STATES, published 2011 by World Scientific Publishing Comp.
Add this copy of Functions of Several Real Variables to cart. $17.97, good condition, Sold by Suffolk Books rated 5.0 out of 5 stars, ships from center moriches, NY, UNITED STATES, published 2011 by World Scientific Publishing Comp.
Add this copy of Functions of Several Real Variables to cart. $42.67, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2011 by WSPC.
Add this copy of Functions of Several Real Variables to cart. $61.09, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2011 by WSPC.
Add this copy of Functions of Several Real Variables to cart. $66.59, new condition, Sold by Just one more Chapter rated 4.0 out of 5 stars, ships from Miramar, FL, UNITED STATES, published 2011 by WSPC.
