Guillemin, Victor
Differential Forms - Singapore World Scientific Publishing 2024 - xvi, 256p.
Includes Index
1. Multilinear Algebra
2. The Concept of a Differential Form
3. Integration of Forms
4. Manifolds and Forms on Manifolds
5. Cohomology via Forms
There already exist a number of excellent graduate textbooks on the theory of differential forms as well as a handful of very good undergraduate textbooks on multivariable calculus in which this subject is briefly touched upon but not elaborated on enough. The goal of this textbook is to be readable and usable for undergraduates. It is entirely devoted to the subject of differential forms and explores a lot of its important ramifications. In particular, our book provides a detailed and lucid account of a fundamental result in the theory of differential forms which is, as a rule, not touched upon in undergraduate texts: the isomorphism between the Čech cohomology groups of a differential manifold and its de Rham cohomology groups
9798886130829 (PB)
Geometry
cohomology
Differential
514.7 / GUI
Differential Forms - Singapore World Scientific Publishing 2024 - xvi, 256p.
Includes Index
1. Multilinear Algebra
2. The Concept of a Differential Form
3. Integration of Forms
4. Manifolds and Forms on Manifolds
5. Cohomology via Forms
There already exist a number of excellent graduate textbooks on the theory of differential forms as well as a handful of very good undergraduate textbooks on multivariable calculus in which this subject is briefly touched upon but not elaborated on enough. The goal of this textbook is to be readable and usable for undergraduates. It is entirely devoted to the subject of differential forms and explores a lot of its important ramifications. In particular, our book provides a detailed and lucid account of a fundamental result in the theory of differential forms which is, as a rule, not touched upon in undergraduate texts: the isomorphism between the Čech cohomology groups of a differential manifold and its de Rham cohomology groups
9798886130829 (PB)
Geometry
cohomology
Differential
514.7 / GUI