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Differential forms

By: Guillemin, VictorContributor(s): Haine, PeterMaterial type: TextTextLanguage: English Publication details: Singapore : World Scientific, 2024. Description: xvi, 256pISBN: 9798886130829Subject(s): Differential forms | Geometry, DifferentialDDC classification: 517.2 Online resources: Table of Content | Reviews Summary: 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.
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Item type Current library Call number Status Date due Barcode
NBHM Books NBHM Books SMS Library
517.2 GUI-D (Browse shelf(Opens below)) Available N439

Includes bibliographical references and index.

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.

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