Screen LibraryReal analysis a constructive approach /
"This innovative text sets forth a thoroughly rigorous modern account of the theoretical underpinnings of calculus: continuity, differentiability, and convergence. Using a constructive approach, every proof of every result is direct and ultimately computationally verifiable. In particular, exis...
Saved in:
| Main Authors: | |
|---|---|
| Corporate Authors: | |
| Published: |
|
| Literature type: | Electronic eBook |
| Language: | English |
| Series: |
Pure and applied mathematics
|
| Subjects: | |
| Online Access: |
http://onlinelibrary.wiley.com/book/10.1002/9781118033357 |
| Summary: |
"This innovative text sets forth a thoroughly rigorous modern account of the theoretical underpinnings of calculus: continuity, differentiability, and convergence. Using a constructive approach, every proof of every result is direct and ultimately computationally verifiable. In particular, existence is never established by showing that the assumption of non-existence leads to a contradiction. The ultimate consequence of this method is that it makes sense - not just to math majors but also to students from all branches of the sciences."--Jacket. |
| Carrier Form: | 1 online resource (1 v.). |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: |
9781118033357 (electronic bk.) 1118033353 (electronic bk.) 9781118031568 (electronic bk.) 1118031563 (electronic bk.) |
| Index Number: | QA300 |
| CLC: | O17 |
| Contents: | The Real Numbers and Completeness -- An Inverse Function Theorem and its Application -- Limits, Sequences and Series -- Uniform Continuity -- The Riemann Integral -- Differentiation -- Sequences and Series of Functions -- The Complex Numbers and Fourier Series. |