Understanding Analysis (Record no. 13731)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02761nmm a22002175i 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20230705150651.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 150519s2015 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781493927128 |
| -- | 978-1-4939-2712-8 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515 |
| Edition number | 23 |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Abbott, Stephen. |
| 9 (RLIN) | 21224 |
| 245 ## - TITLE STATEMENT | |
| Title | Understanding Analysis |
| Medium | [electronic resource] / |
| Statement of responsibility, etc. | by Stephen Abbott. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 2nd ed. 2015. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | New York, NY : |
| Name of publisher, distributor, etc. | Springer New York : |
| -- | Imprint: Springer, |
| Date of publication, distribution, etc. | 2015. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XII, 312 p. 36 illus. in color. |
| Other physical details | online resource. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Preface -- 1 The Real Numbers -- 2 Sequences and Series -- 3 Basic Topology of R -- 4 Functional Limits and Continuity -- 5 The Derivative -- 6 Sequences and Series of Functions -- 7 The Riemann Integral -- 8 Additional Topics -- Bibliography -- Index. . |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal, developments of the techniques needed to make sense of them. By focusing on the unifying themes of approximation and the resolution of paradoxes that arise in the transition from the finite to the infinite, the text turns what could be a daunting cascade of definitions and theorems into a coherent and engaging progression of ideas. Acutely aware of the need for rigor, the student is much better prepared to understand what constitutes a proper mathematical proof and how to write one. Fifteen years of classroom experience with the first edition of Understanding Analysis have solidified and refined the central narrative of the second edition. Roughly 150 new exercises join a selection of the best exercises from the first edition, and three more project-style sections have been added. Investigations of Euler's computation of ΞΆ(2), the Weierstrass Approximation Theorem, and the gamma function are now among the book's cohort of seminal results serving as motivation and payoff for the beginning student to master the methods of analysis. Review of the first edition: "This is a dangerous book. Understanding Analysis is so well-written and the development of the theory so well-motivated t hat exposing students to it could well lead them to expect such excellence in all their textbooks. ... Understanding Analysis is perfectly titled; if your students read it, that's what's going to happen. ... This terrific book will become the text of choice for the single-variable introductory analysis course ... " - Steve Kennedy, MAA Reviews . |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematical analysis. |
| 9 (RLIN) | 21225 |
| Topical term or geographic name entry element | Analysis. |
| 9 (RLIN) | 21226 |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1007/978-1-4939-2712-8">https://doi.org/10.1007/978-1-4939-2712-8</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | e-Book |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Source of acquisition | Total Checkouts | Full call number | Barcode | Date last seen | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | S. R. Ranganathan Learning Hub | S. R. Ranganathan Learning Hub | Online | 05/07/2023 | Infokart India Pvt. Ltd., New Delhi | 515 | EB1500 | 05/07/2023 | 05/07/2023 | e-Book |