A course in calculus and real analysis (Record no. 4279)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02541nam a22003137a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250730095906.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 250730b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783030013998 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9783031916502 (pbk.) |
| Terms of availability | € 49.99 |
| 040 ## - CATALOGING SOURCE | |
| Language of cataloging | ENG |
| Transcribing agency | IISER-BPR |
| Modifying agency | IISER-BPR |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | ENG |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515 |
| Item number | GHO |
| Edition number | 23rd |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Ghorpade, Sudhir R. |
| 9 (RLIN) | 5505 |
| 222 ## - KEY TITLE | |
| Key title | Mathematics |
| 245 ## - TITLE STATEMENT | |
| Title | A course in calculus and real analysis |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc | Cham; Switzweland : |
| Name of publisher, distributor, etc | Springer Nature, |
| Date of publication, distribution, etc | c2018. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | ix, 538 p. : |
| Other physical details | ill. ; |
| Dimensions | 23cm. |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Undergraduate Texts in Mathematics |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes illustrations, appendices, bibliographic reference, list of symbols and abbreviations and subject index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Offering a unified exposition of calculus and classical real analysis, this textbook presents a meticulous introduction to single‐variable calculus. Throughout, the exposition makes a distinction between the intrinsic geometric definition of a notion and its analytic characterization, establishing firm foundations for topics often encountered earlier without proof. Each chapter contains numerous examples and a large selection of exercises, as well as a “Notes and Comments” section, which highlights distinctive features of the exposition and provides additional references to relevant literature.<br/><br/>This second edition contains substantial revisions and additions, including several simplified proofs, new sections, and new and revised figures and exercises. A new chapter discusses sequences and series of real‐valued functions of a real variable, and their continuous counterpart: improper integrals depending on a parameter. Two new appendices cover a construction of the real numbers using Cauchy sequences, and a self‐contained proof of the Fundamental Theorem of Algebra.<br/>In addition to the usual prerequisites for a first course in single‐variable calculus, the reader should possess some mathematical maturity and an ability to understand and appreciate proofs. This textbook can be used for a rigorous undergraduate course in calculus, or as a supplement to a later course in real analysis. The authors’ A Course in Multivariable Calculus is an ideal companion volume, offering a natural extension of the approach developed here to the multivariable setting. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Mathematics |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Analysis |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Calculus |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Real analysis |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Limaye, Balmohan V. |
| 9 (RLIN) | 3451 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Dewey Decimal Classification |
| Koha item type | Books |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Total Checkouts | Full call number | Barcode | Date last seen | Cost, replacement price | Price effective from | Koha item type | Public note |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | Vigyanpuri Campus | Vigyanpuri Campus | 25/07/2025 | National Board for Higher Mathematics | 0.00 | 515 GHO | M00080 | 30/07/2025 | 5085.68 | 25/07/2025 | Books | Acquired through NBHM Library Grant 2025-2026. |
