An Introduction to Smooth Manifolds

This book discusses major topics like the Lie group in the study of smooth manifolds and contains a sufficient number of examples and exercises to help students learn mathematics by solving problems. It also provides proofs of all theorems in a lucid manner, with only pre-requisites of good working knowledge of point-set topology and linear algebra.

Format: Hardback
Length: 210 pages
Publication date: 02 June 2023
Publisher: Springer Verlag, Singapore

This comprehensive textbook is specifically designed for advanced mathematics students, particularly those specializing in the study of smooth manifolds. It emphasizes the importance of solving problems in mathematics rather than solely relying on theoretical knowledge. To facilitate this learning process, the book includes an ample number of examples and exercises after each section in every chapter. These exercises serve as practical tools for gaining a deeper understanding of the topics covered. While some of the exercises may be familiar to students as they reinforce fundamental concepts, others present more challenging problems that encourage critical thinking and problem-solving skills. Additionally, the book provides helpful hints and solutions to difficult exercises, aiding students in overcoming obstacles and strengthening their understanding.

At the end of each section, the book offers comprehensive answers to all exercises, allowing students to verify their understanding and track their progress. Furthermore, the book presents proofs of all theorems in a clear and concise manner, making them accessible to students with a solid foundation in point-set topology and linear algebra.

By utilizing this textbook, advanced mathematics students can deepen their understanding of key topics such as the Lie group, smooth manifolds, and related mathematical concepts. The practical nature of the exercises and the clear explanations make it an invaluable resource for anyone seeking to excel in this field.

Weight: 512g
Dimension: 235 x 155 (mm)
ISBN-13: 9789819905645
Edition number: 1st ed. 2023