Lecture Notes On Calculus Of Variations
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A01=Kung-ching Chang
Author_Kung-ching Chang
Category=PBKQ
Direct Methods
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Euler-Lagrange Equation
Existence and Regularity
Image Processing
Minimal Surface
Minimizing Sequence
Mountain Pass Theorem
Noether's Conservation Law
Optimal Control
Quasi-Convexity
Sobolev Space
Product details
- ISBN 9789813144682
- Publication Date: 17 Nov 2016
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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This is based on the course "Calculus of Variations" taught at Peking University from 2006 to 2010 for advanced undergraduate to graduate students majoring in mathematics. The book contains 20 lectures covering both the theoretical background material as well as an abundant collection of applications. Lectures 1-8 focus on the classical theory of calculus of variations. Lectures 9-14 introduce direct methods along with their theoretical foundations. Lectures 15-20 showcase a broad collection of applications. The book offers a panoramic view of the very important topic on calculus of variations. This is a valuable resource not only to mathematicians, but also to those students in engineering, economics, and management, etc.
