Guillemin, Victor
Differential Forms
- ISBN 13:
- 9789811213779
- author:
- Guillemin, Victor
- format:
- Paperback / softback
- publisher:
- World Scientific Publishing Co Pte Ltd
- language:
- English
- Publication Year:
- 2019
- Pages:
- 272
- Genre:
- Science, Mathematics, Calculus,
- Condition:
- New
- Availability:
- Item usually sent within 20 working days
Description
Differential Forms by Victor Guillemin and Peter Haine provides a comprehensive introduction to the theory of differential forms, extending undergraduate knowledge of multivariable calculus into this subject. The authors aim to create a well-documented roadmap that connects differential forms with topology and single/multivariable calculus. The book explores key ramifications of differential forms, including a detailed account of a fundamental result: the isomorphism between Čech cohomology groups and de Rham cohomology groups on differential manifolds. This subject is not typically covered in undergraduate texts, making this book an invaluable resource for those looking to deepen their understanding. Suitable for undergraduates seeking a clear and concise treatment of differential forms, this textbook offers a unique perspective on the subject, supported by exercises that apply and justify the concepts developed throughout.