Mathematical Analysis Foundations and Adavanced Techniques for Functions of Several Variables
| Author/creator | Giaquinta, Mariano Author |
| Other author | Modica,Giuseppe Author |
| Format | Electronic |
| Publication Info | CH-4010 Basel : Birkhauser Verlag AG Secaucus : Springer [Distributor] |
| Description | xiii, 405 p. ill 23.500 x 015.500 cm. |
| Supplemental Content | Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2012 English International |
| Supplemental Content | Full text available from Springer Books |
| Subjects |
| Summary | Annotation 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 authorsconclude 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. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| ISBN | 9780817683092 |
| ISBN | 0817683097 (Trade Cloth) Active Record |
| Standard identifier# | 9780817683092 |
| Stock number | 0817683097 00145491 |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | ✔ Available |