Introduction to Real Analysis
Language: English
Published by Chapman & Hall, 2021
- Hardcover
- New
Seller: Revaluation Books, Exeter, United KingdomRevaluation Books
AbeBooks seller since January 6, 2003
Condition: New
£ 194.12
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Seller Inventory # x-0367486881
- Title
- Introduction to Real Analysis
- Author
- Stoll, Manfred
- Publisher
- Chapman & Hall
- Publication year
- 2021
- Condition
- Brand New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0367486881
- ISBN 13
- 9780367486884
- Edition
- 3rd Edition
- Item weight
- 1.24 kilograms
- Series
- Book 93 of 130: Textbooks in Mathematics
This classic textbook has been used successfully by instructors and students for nearly three decades. This timely new edition offers minimal yet notable changes while retaining all the elements, presentation, and accessible exposition of previous editions. A list of updates is found in the Preface to this edition.
This text is based on the author’s experience in teaching graduate courses and the minimal requirements for successful graduate study. The text is understandable to the typical student enrolled in the course, taking into consideration the variations in abilities, background, and motivation. Chapters one through six have been written to be accessible to the average student,
w hile at the same time challenging the more talented student through the exercises.
Chapters seven through ten assume the students have achieved some level of expertise in the subject. In these chapters, the theorems, examples, and exercises require greater sophistication and mathematical maturity for full understanding.
In addition to the standard topics the text includes topics that are not always included in comparable texts.
- Chapter 6 contains a section on the Riemann-Stieltjes integral and a proof of Lebesgue’s t heorem providing necessary and sufficient conditions for Riemann integrability.
- Chapter 7 also includes a section on square summable sequences and a brief introduction to normed linear spaces.
- C hapter 8 contains a proof of the Weierstrass approximation theorem using the method of
aapproximate identities.
- The inclusion of Fourier series in the text allows the student to gain some exposure to this important subject.
- The final chapter includes a detailed treatment of Lebesgue measure and the Lebesgue integral, using inner and outer measure.
- The exercises at the end of each section reinforce the concepts.
- Notes provide historical comments or discuss additional topics.
"Synopsis" may belong to another edition of this title.
About the Author
Manfred Stoll received his Ph.D. from Penn State University under the supervision of K.T. Hahn and supported by an NDEA Fellowship. He has spent his entire career at University of South Carolina, serving as Department Chair, and supervised 3 master's students and eight doctoral students. He has published over 47 refereed research articles and published three books. He has served as a Referee on over 22 journals, served on numerous Panel Sessions for the AMS and Review Panels for the Science Foundation of Ireland (2005-2008), and was the Program Officer in Mathematics and Physics for the Science Foundation of Ireland in Summer 2007. Since 1990 he has given 27 invited conference talks, including hour addresses and plenary talks.
"About the title" may belong to another edition of this title.
Revaluation Books
Exeter, United Kingdom
AbeBooks seller since January 6, 2003
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