Functions of Several Real Variables - Rilegato

Moskowitz, Martin; Paliogiannis, Fotios

Rilegato

ISBN 10: 981429926X ISBN 13: 9789814299268

Casa editrice: World Scientific Pub Co Inc, 2011

Riassunto

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.

Dettagli dell'edizione

• 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: non disponibile