1 option
Real Analysis on Intervals [electronic resource] / by A. D. R. Choudary, Constantin P. Niculescu.
Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2014 English International Available online
View online- Format:
- Book
- Author/Creator:
- Choudary, A. D. R., Author.
- Niculescu, Constantin P., Author.
- Language:
- English
- Subjects (All):
- Integral equations.
- Integral transforms.
- Calculus, Operational.
- Fourier analysis.
- Integral Equations.
- Integral Transforms, Operational Calculus.
- Fourier Analysis.
- Local Subjects:
- Integral Equations.
- Integral Transforms, Operational Calculus.
- Fourier Analysis.
- Physical Description:
- 1 online resource (XI, 525 p. 36 illus.)
- Edition:
- 1st ed. 2014.
- Place of Publication:
- New Delhi : Springer India : Imprint: Springer, 2014.
- Language Note:
- English
- Summary:
- The book targets undergraduate and postgraduate mathematics students and helps them develop a deep understanding of mathematical analysis. Designed as a first course in real analysis, it helps students learn how abstract mathematical analysis solves mathematical problems that relate to the real world. As well as providing a valuable source of inspiration for contemporary research in mathematics, the book helps students read, understand and construct mathematical proofs, develop their problem-solving abilities and comprehend the importance and frontiers of computer facilities and much more. It offers comprehensive material for both seminars and independent study for readers with a basic knowledge of calculus and linear algebra. The first nine chapters followed by the appendix on the Stieltjes integral are recommended for graduate students studying probability and statistics, while the first eight chapters followed by the appendix on dynamical systems will be of use to students of biology and environmental sciences. Chapter 10 and the appendixes are of interest to those pursuing further studies at specialized advanced levels. Exercises at the end of each section, as well as commentaries at the end of each chapter, further aid readers’ understanding. The ultimate goal of the book is to raise awareness of the fine architecture of analysis and its relationship with the other fields of mathematics.
- Contents:
- Preface
- Chapter 1. The Real Numbers
- Chapter 2. Limits of Real Sequences
- Chapter 3. The Euclidean Spaces RP and C
- Chapter 4. Numerical Series
- Chapter 5. Metric and Topology
- Chapter 6. Continuous Functions
- Chapter 7. Elementary Functions
- Chapter 8. Differential Calculus on R
- Chapter 9. The Riemann Integral
- Chapter 10. Improper Riemann Integrals
- Chapter 11. The Theory of Lebesgue Integral
- Chapter 12. Fourier Series
- Appendices.
- Notes:
- Bibliographic Level Mode of Issuance: Monograph
- ISBN:
- 81-322-2148-6
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.