Selected Chapters in the Calculus of Variations by Jürgen Moser
Selected Chapters in the Calculus of Variations - Table of Contents
- 1. One dimensional variational problems and Euler equations
- 2. Extremal fields and global minimals analysis
- 3. Discrete variational systems and applications
What You Will Learn in Selected Chapters in the Calculus of Variations
Selected Chapters in the Calculus of Variations by Jürgen Moser is a distinguished modern mathematical text presenting a profound geometric and analytical perspective on classical variational problems and their connections to nonlinear partial differential equations. Based on lectures delivered at the ETH Zürich, this volume systematically explores core advanced topics including the principle of least action, geodesics on Riemannian manifolds, minimal surfaces, Hamilton-Jacobi theory, and Aubry-Mather theory.
Tailored for graduate students, research mathematicians, and theoretical physicists, Prof. Moser bridges classical mechanics with modern dynamical systems and geometric analysis. The text guides readers step-by-step through first and second variation, global minimizers, nonparametric surface theory, and quasi-periodic solutions in periodic media.
Celebrated for its analytical elegance, deep geometric intuition, and precise proofs, it stands as one of the best modern calculus of variations monographs pdf available for advanced independent study. It systematically equips readers with cutting-edge tools for mastering variational mechanics and geometric analysis with confidence.
Book Details & Specifications
Title:
Selected Chapters in the Calculus of Variations by Jürgen Moser
Publisher:
Birkhäuser
Year:
2003
Pages:
140
Type:
PDF
Language:
English
ISBN-10 #:
3764321857
ISBN-13 #:
9783764321857
License:
External Educational Resource
Amazon:
Amazon
About the Author: Jürgen Moser
The author Jürgen Moser
(1928–1999) was an internationally renowned mathematician who served as Director of the Courant Institute of Mathematical Sciences at New York University and later as Professor at ETH Zürich.
A recipient of the prestigious Wolf Prize in Mathematics, Prof. Moser made monumental contributions to dynamical systems, partial differential equations, and celestial mechanics, most notably as one of the co-creators of Kolmogorov-Arnold-Moser (KAM) theory.
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