| Edition |
First edition. |
| Description |
1 online resource. |
|
text txt rdacontent |
|
computer c rdamedia |
|
online resource cr rdacarrier |
|
text file rda |
| Series |
Elsevier insights |
|
Elsevier insights.
|
| Bibliography |
Includes bibliographical references. |
| Note |
Print version record. |
| 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. |
| Contents |
1. Sets and proofs -- 2. Numbers -- 3. Convergence -- 4. Point set theory -- 5. Continuity -- 6. Space C(E, E') -- 7. Differentiation -- 8. Bounded variation -- 9. Riemann integration -- 10. Generalizations of Riemann integration -- 11. Transcendental functions -- 12. Fourier series and integrals. |
| Subject |
Mathematical analysis.
|
|
Analyse mathématique.
|
|
MATHEMATICS -- Calculus.
|
|
MATHEMATICS -- Mathematical Analysis.
|
|
Mathematical analysis
|
|
Analysis
|
| Other Form: |
Print version: Bashirov, Agamirza E. Mathematical analysis fundamentals 9780128010013 (OCoLC)870424847 |
| ISBN |
9780128010501 (electronic bk.) |
|
0128010509 (electronic bk.) |
|
9780128010013 |
|
0128010010 |
|
9780128102695 (pbk) |
|
0128102691 (pbk) |
| Standard No. |
CHBIS 010295234 |
|
CHVBK 327778415 |
|
DEBBG BV042300120 |
|
DEBSZ 414274547 |
|
NLGGC 374531234 |
|
CHNEW 001012118 |
|
AU@ 000062547017 |
|
