TY - BOOK ID - 119294533 TI - An Introduction to Smooth Manifolds AU - Majumdar, Manjusha AU - Bhattacharyya, Arindam PY - 2023 SN - 9819905656 9819905648 PB - Singapore : Springer Nature Singapore : Imprint: Springer, DB - UniCat KW - Manifolds (Mathematics) KW - Geometry, Differential KW - Topology KW - Geometry, Differential. KW - Global analysis (Mathematics). KW - Manifolds (Mathematics). KW - Topological groups. KW - Lie groups. KW - Differential Geometry. KW - Global Analysis and Analysis on Manifolds. KW - Topological Groups and Lie Groups. KW - Groups, Lie KW - Lie algebras KW - Symmetric spaces KW - Topological groups KW - Groups, Topological KW - Continuous groups KW - Analysis, Global (Mathematics) KW - Differential topology KW - Functions of complex variables KW - Geometry, Algebraic KW - Differential geometry KW - Mathematical Analysis KW - Group Theory KW - Mathematics KW - Varietats (Matemàtica) UR - https://www.unicat.be/uniCat?func=search&query=sysid:119294533 AB - Targeted to graduate students of mathematics, this book discusses major topics like the Lie group in the study of smooth manifolds. It is said that mathematics can be learned by solving problems and not only by just reading it. To serve this purpose, this book contains a sufficient number of examples and exercises after each section in every chapter. Some of the exercises are routine ones for the general understanding of topics. The book also contains hints to difficult exercises. Answers to all exercises are given at the end of each section. It also provides proofs of all theorems in a lucid manner. The only pre-requisites are good working knowledge of point-set topology and linear algebra. ER -