Articoli correlati a Functions of Several Real Variables

Functions of Several Real Variables - Rilegato

Moskowitz, Martin; Paliogiannis, Fotios

 
9789814299268: Functions of Several Real Variables
Rilegato
ISBN 10: 981429926X ISBN 13: 9789814299268
Casa editrice: World Scientific Pub Co Inc, 2011

Sinossi

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. 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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Dalla quarta di copertina

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. 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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Editore
World Scientific Pub Co Inc
Data di pubblicazione
2011
Lingua
Inglese
ISBN 10 
981429926X
ISBN 13 
9789814299268
Rilegatura
Copertina rigida
Numero di pagine
716
Contatto del produttore
non disponibile
Persona responsabile
GPSR Kontakt
gpsr@libri.de

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