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Functions of Several Real Variables
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Artikel-Nr:
9789814299268
Veröffentl:
2011
Einband:
HC gerader Rücken kaschiert
Erscheinungsdatum:
29.04.2011
Seiten:
734
Autor:
Martin Moskowitz
Gewicht:
1197 g
Format:
235x157x44 mm
Sprache:
Englisch
Beschreibung:
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.
Basic Features of Euclidean Space Rⁿ Functions on Euclidean Spaces Differential Calculus in Several Variables Integral Calculus in Several Variables Change of Variable Formula, Improper Multiple Integrals Line and Surface Integrals Elements of Ordinary and Partial Differential Equations Introduction to Calculus of Variations