Mathematical Analysis: Foundations and Advanced Techniques for Functions of Several Variables - Couverture rigide
Synopsis
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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
Mariano Giaquinta is Professor at Scuola Normale Superiore in Pisa and Giuseppe Modica is Professor at Universita di Firenze in Florence, Italy.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Mathematical Analysis (Hardcover)
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Birkhauser Boston Inc, Secaucus, 2011
ISBN 10 : 0817683097
ISBN 13 : 9780817683092
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Hardcover. Etat : new. Hardcover. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780817683092
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Mathematical Analysis
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Birkhäuser Boston Nov 2011, 2011
ISBN 10 : 0817683097
ISBN 13 : 9780817683092
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 420 pp. Englisch. N° de réf. du vendeur 9780817683092
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Mathematical Analysis : Foundations and Advanced Techniques for Functions of Several Variables
Edité par
Birkhäuser, 2011
ISBN 10 : 0817683097
ISBN 13 : 9780817683092
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Couverture rigide
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Mathematical Analysis
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Birkhäuser Boston, 2011
ISBN 10 : 0817683097
ISBN 13 : 9780817683092
Neuf
Couverture rigide
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Gebunden. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Provides theoretical foundation for analysis of functions of several variablesMotivates the topics with examples, observations, exercises, and illustrationsIncludes appendix of mathematicians who made important contributions to analysis. N° de réf. du vendeur 5975976
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