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Mathematical Analysis : Foundations and Adavanced Techniques for Functions of Several Variables by Giaquinta, Mariano.;Modica, Giuseppe is a nonfiction available to read on EtoBox.

What is Mathematical Analysis : Foundations and Adavanced Techniques for Functions of Several Variables about?

Preface -- Spaces of Summable Functions and Partial Differential Equations -- Convex Sets and Convex Functions -- The Formalism of the Calculus of Variations -- Differential Forms -- Measures and Integrations -- Hausdorff and Radon Measures -- Mathematicians and Other Scientists -- Bibliographical Notes -- Index.;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 d

Who reads Mathematical Analysis : Foundations and Adavanced Techniques for Functions of Several Variables?

Author

Giaquinta, Mariano.;Modica, Giuseppe

Publisher

Birkhäuser Boston

Published

2012

Language

EN

ISBN

9780817683092

Category

nonfiction

Subjects

Mathematics, Stem