Lectures on Differential Equations and Differential Geometry (Classical Topics in Mathematics)
โ Scribed by Louis Nirenberg
- Publisher
- American Mathematical Society/Higher Education Press
- Year
- 2019
- Tongue
- English
- Leaves
- 178
- Series
- Classical Topics in Mathematics (Book 7)
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
This book is superbly written by a world-leading expert on partial differential equations and differential geometry. It consists of two parts. Part I covers the existence and uniqueness of solutions of elliptic differential equations. It is direct, to the point, moves smoothly and quickly, and there are no unnecessary discussions or digressions. Many topics discussed in Part II will be new and surprising to many students, even to some experts in differential geometry. Both the selection of topics and the exposition are excellent. The detailed discussion of the case of surfaces motivated the later analogues in the higher dimensions.
โฆ Subjects
Mathematics;Calculus; Differential equations
๐ SIMILAR VOLUMES
Excellent brief introduction presents fundamental theory of curves and surfaces and applies them to a number of examples. Topics include curves, theory of surfaces, fundamental equations, geometry on a surface, envelopes, conformal mapping, minimal surfaces, more. Well-illustrated, with abundant pro
<span>This book is a translation of an authoritative introductory text based on a lecture series delivered by the renowned differential geometer, Professor S S Chern in Beijing University in 1980. The original Chinese text, authored by Professor Chern and Professor Wei-Huan Chen, was a unique contri