Mathematical analysis fundamentals
The author's goal is a rigorous presentation of the fundamentals of analysis, starting from elementary level and moving to the advanced coursework. The curriculum of all mathematics (pure or applied) and physics programs include a compulsory course in mathematical analysis. This book will serve...
| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
London
Elsevier
2014
|
| Edition: | 1st ed |
| Series: | Elsevier insights
|
| Subjects: | |
| Online Access: | |
| Collection: | O'Reilly - Collection details see MPG.ReNa |
| Summary: | The author's goal is a rigorous presentation of the fundamentals of analysis, starting from elementary level and moving to the advanced coursework. The curriculum of all mathematics (pure or applied) and physics programs include a compulsory course in mathematical analysis. This book will serve as can serve a main textbook of such (one semester) courses. The book can also serve as additional reading for such courses as real analysis, functional analysis, harmonic analysis etc. For non-math major students requiring math beyond calculus, this is a more friendly approach than many math-centric options. Friendly and well-rounded presentation of pre-analysis topics such as sets, proof techniques and systems of numbers. Deeper discussion of the basic concept of convergence for the system of real numbers, pointing out its specific features, and for metric spaces. Presentation of Riemann integration and its place in the whole integration theory for single variable, including the Kurzweil-Henstock integration. Elements of multiplicative calculus aiming to demonstrate the non-absoluteness of Newtonian calculus.-- |
|---|---|
| Physical Description: | xiii, 348 pages illustrations |
| ISBN: | 9781306726412 0128010010 0128010509 9780128010501 9780128010013 |