Foundations of Differentiable Manifolds and Lie Groups by Frank W. Warner is a solid textbook on differentiable manifolds and Lie groups. This academic work focuses on thoroughly covering the basic principles from manifold theory and the structure of Lie groups.
Description
The book offers a clear and precise treatment of differentiable manifolds and Lie groups, with attention to tensors, differentiable forms, and homogeneous spaces. It also discusses integration on manifolds, a proof of the de Rham theorem via sheaf cohomology, and the local theory of elliptic operators, culminating in a proof of the Hodge theorem. This textbook is indispensable for anyone delving into mathematics with an emphasis on differentiable manifolds and Lie groups.
Product specifications
- Author: Frank W. Warner
- Series: Graduate Texts in Mathematics
- Publisher: Springer-Verlag New York Inc.
- Publication date: 1983-10-10
- Number of pages: 276
- ISBN: 9780387908946
- Subject: Algebra
- BISAC: MATHEMATICS / Algebra / General