Mathematical Analysis: Foundations and Advanced Techniques for Functions of Several Variables builds upon the basic ideas and techniques of differential and integral calculus for functions of several variables, as outlined in an earlier introductory volume. The presentation is largely focused on the foundations of measure and integration theory. The book begins with a discussion of the geometry of Hilbert spaces, convex functions and domains, and differential forms, particularly k-forms. The exposition continues with an introduction to the calculus of variations with applications to geometric optics and mechanics. The authors conclude with the study of measure and integration theory - Borel, Radon, and Hausdorff measures and the derivation of measures. An appendix highlights important mathematicians and other scientists whose contributions have made a great impact on the development of theories in analysis. This work may be used as a supplementary text in the classroom or for self-study by advanced undergraduate and graduate students and as a valuable reference for researchers in mathematics, physics, and engineering. One of the key strengths of this presentation, along with the other four books on analysis published by the authors, is the motivation for understanding the subject through examples, observations, exercises, and illustrations.
Produktkennzeichnungen
ISBN-10
0817683097
ISBN-13
9780817683092
eBay Product ID (ePID)
160669726
Produkt Hauptmerkmale
Produktart
Lehrbuch
Sprache
Englisch
Anzahl der Seiten
420 Seiten
Verlag
Birkhäuser Boston
Publikationsname
Mathematical Analysis
Autor
Giuseppe Modica
Format
Gebundene Ausgabe
Erscheinungsjahr
2011
Zusätzliche Produkteigenschaften
Hörbuch
No
Inhaltsbeschreibung
Hc Runder Rücken Kaschiert
Item Length
24cm
Item Height
2cm
Item Width
16cm
Mitautor
Mariano Giaquinta
Item Weight
793g
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