000 01459nam a22002417a 4500
008 240509b 2024|||||||| |||| 00| 0 eng d
020 _a9798886130829 (PB)
041 _aeng
080 _a514.7
_bGUI
100 _aGuillemin, Victor
245 _aDifferential Forms
260 _aSingapore
_bWorld Scientific Publishing
_c2024
300 _axvi, 256p.
504 _aIncludes Index
505 _a1. Multilinear Algebra 2. The Concept of a Differential Form 3. Integration of Forms 4. Manifolds and Forms on Manifolds 5. Cohomology via Forms
520 _aThere 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
650 _aGeometry
650 _acohomology
650 _aDifferential
690 _aMathematics
700 _aHaine, Peter
942 _cBK
999 _c60263
_d60263