Mathematical Analysis
Foundations and Advanced Techniques for Functions of Several Variables
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Author
Contributions
- Modica, Giuseppe - Contributor
- SpringerLink (Online service) - Contributor
Publication
2012 - Springer Science+Business Media, LLC, Boston, Massachusetts
Language
English
Word Count
101,250 words, Guess
Page Count
405 pages
Physical Format
Electronic resource
Identifiers
- Internet Archivemathematicalanal00giaq
- Internet Archivemathematicalanal00giaq_072
- ISBN-139780817683092
- ISBN-139780817683108
- ISBN-100817683097
and 5 more
- ISBN-100817683100
- OCLC Control Number755698244
- Better World Books9780817683092
- Better World Books9780817683108
- Open LibraryOL25566522M
Classifications
- LCCQA299.6-433
- LCCQA331 .G5313 2012
Description
This book 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. It 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. It concludes with the study of measure and integration theory -- Borel, Radon, and Hausdorff measures and the derivation of measures.
Subjects
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