Gelbaum, B. R.
Counterexamples in Analysis (Dover Books on Mathematics)
- ISBN 13:
- 9780486428758
- author:
- Gelbaum, B. R.
- format:
- Paperback
- publisher:
- Dover Publications Inc.
- language:
- English
- Publication Year:
- 2003
- Pages:
- 218
- Dimensions:
- 21.49 x 16.21 x 1.24 centimetres
- Genre:
- Mathematics
- Condition:
- New
- Availability:
- Item usually sent within 7 working days
Description
Counterexamples in Analysis by Bernard R. Gelbaum and John M. H. Olmsted provides a comprehensive collection of examples to illustrate key concepts in real analysis, starting with calculus. The first half of the book focuses on functions of a single variable, covering topics such as limits, differentiation, integration, sequences, and series. This is complemented by the second half, which explores functions of two variables, including plane sets, area, and function spaces. This volume offers a valuable resource for students who have not yet completed a first course in calculus, as well as more advanced students of analysis and graduate students seeking additional material. With 12 figures, bibliography, index, and errata, the book provides a thorough and detailed exploration of real variables. Suitable for those looking to deepen their understanding of mathematical analysis, this book is an excellent addition to any mathematics library.