This part can be used as a fundamental textbook for graduate students of theoretical physics. Chapters 8-10 discuss geometry on fibre bundles, which facilitates further reference for researchers. The last four chapters deal with the Atiyah-Singer index theorem, its generalization and its application,...
The style of this book is that of a mathematics textbook, with full proofs given in the text or as exercises. All material is illustrated by detailed examples, a number of which is taken up repeatedly for demonstrating how the methods evolve and interact. Differential Geometry and Mathematical ...
Geometry of Differential Forms 2025 pdf epub mobi 电子书 著者简介 森田茂之,1976年获东京大学博士学位。 Geometry of Differential Forms 电子书 图书目录 下载链接在页面底部 下载链接1 下载链接2 下载链接3 facebook linkedin mastodon messenger pinterest reddit telegram twitter viber vkontakte whatsapp ...
Presenting theory while using Mathematica in a complementary way, Modern Differential Geometry of Curves and Surfaces with Mathematica, the third edition of Alfred Gray's famous textbook, covers how to define and compute standard geometric functions using Mathematica for constructing new curves and ...
Uses a broad approach to illustrate the rich diversity of phenomena such as vibrations of solids, fluid flow, molecular structure, photon and electron interactions, radiation of electromagnetic waves encompassed by this subject as well as the role PDEs play in modern mathematics, especially geometry ...