Manifolds, Transversality & de Rham Cohomology by Peter Petersen
Manifolds, Transversality & de Rham Cohomology - Table of Contents
- 1. Principles of Manifolds and Smooth Maps
- 2. Tangent Spaces and Differentials of Maps
- 3. Global Theory of Smooth Maps and Invariance
- 4. Foundations of Lie Groups and Lie Algebras
- 5. Transversality and Incidence Theory
- 6. Introduction to Basic Tensor Analysis
- 7. Foundations of Basic Cohomology Theory
- 8. Principles of Intersection Theory Revisited
- 9. Topological Characteristic Classes
What You Will Learn in Manifolds, Transversality & de Rham Cohomology
Manifolds, Transversality and de Rham Cohomology by Peter Petersen provides a rigorous and accessible treatment of differential topology. Accessing this manifolds transversality de rham cohomology pdf enables graduate students and mathematicians to master Sard's theorem, intersection theory, vector bundles, and exterior differential algebra.
Written by a leading geometer, this comprehensive manifolds transversality and de rham cohomology book bridges intuitive geometric concepts with global analytical techniques, covering Stokes' theorem, Poincaré duality, and degree theory.
Available as an educational study reference via manifolds transversality and de rham cohomology pdf download, this guide serves as an essential foundation for courses in topology and global analysis.
Book Details & Specifications
Title:
Manifolds, Transversality & de Rham Cohomology by Peter Petersen
Publisher:
University of California
Year:
2018
Pages:
183
Type:
PDF
Language:
English
ISBN-10 #:
0821848151
ISBN-13 #:
978-0821848159
License:
University Educational Resource
Amazon:
Amazon
About the Author: Peter Petersen
The author Peter Petersen
is Professor of Mathematics at the University of California, Los Angeles (UCLA), internationally recognized for his prominent research in Riemannian geometry, Ricci curvature bounds, and global differential geometry.
Author of several influential graduate texts including Riemannian Geometry, his landmark book Manifolds, Transversality and de Rham Cohomology by Peter Petersen stands as a fundamental reference in modern geometric topology.
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