000 | 01459nam a22002417a 4500 | ||
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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 |