D. J. H. Garling
A Course in Mathematical Analysis: Volume 2
- ISBN 13:
- 9781107675322
- author:
- D. J. H. Garling
- format:
- Paperback
- publisher:
- Cambridge University Press
- language:
- English
- Publication Year:
- 2014
- Pages:
- 334
- Dimensions:
- 17.4 x 1.8 x 24.7 cm
- Genre:
- Science & Nature, Mathematics, Education
- Condition:
- New
- Availability:
- Item usually sent within 10 working days
Description
A Course in Mathematical Analysis: Volume 2 provides a comprehensive account of metric and topological spaces, building on the foundations established in the first volume. This second part of the series covers topics such as completeness, compactness, and connectedness, with a focus on their applications to analysis. The theory of functions of several variables is developed, including differential manifolds in Euclidean space. The book concludes with an account of Lagrange multipliers and a detailed proof of the divergence theorem. With hundreds of exercises, examples, and applications, this volume will become an invaluable resource for both students and teachers. Suitable for those studying mathematical analysis, this book is an essential companion to Volume I and provides a solid foundation for further study in complex analysis and the theory of measure and integration.
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