A First Course in Calculus (Record no. 13570)
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| 000 -LEADER | |
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| fixed length control field | 02718nmm a22002175i 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20230705150625.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 121227s1986 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781441985323 |
| -- | 978-1-4419-8532-3 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.8 |
| Edition number | 23 |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Lang, Serge. |
| 9 (RLIN) | 19803 |
| 245 ## - TITLE STATEMENT | |
| Title | A First Course in Calculus |
| Medium | [electronic resource] / |
| Statement of responsibility, etc. | by Serge Lang. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 5th ed. 1986. |
| 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. | 1986. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | XV, 731 p. |
| Other physical details | online resource. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | One Review of Basic Material -- I Numbers and Functions -- II Graphs and Curves -- Two Differentiation and Elementary Functions -- III The Derivative -- IV Sine and Cosine -- V The Mean Value Theorem -- VI Sketching Curves -- VII Inverse Functions -- VIII Exponents and Logarithms -- Three Integration -- IX Integration -- X Properties of the Integral -- XI Techniques of Integration -- XII Applications of Integration -- Four Taylor's Formula and Series -- XIII Taylor's Formula -- XIV Series -- Five Functions of Several Variables -- XV Vectors -- XVI Differentiation of Vectors -- XVII Functions of Several Variables -- XVIII The Chain Rule and the Gradient -- Answer. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | The purpose of a first course in calculus is to teach the student the basic notions of derivative and integral, and the basic techniques and applica tions which accompany them. The very talented students, with an ob vious aptitude for mathematics, will rapidly require a course in functions of one real variable, more or less as it is understood by professional is not primarily addressed to them (although mathematicians. This book I hope they will be able to acquire from it a good introduction at an early age). I have not written this course in the style I would use for an advanced monograph, on sophisticated topics. One writes an advanced monograph for oneself, because one wants to give permanent form to one's vision of some beautiful part of mathematics, not otherwise ac cessible, somewhat in the manner of a composer setting down his sym phony in musical notation. This book is written for the students to give them an immediate, and pleasant, access to the subject. I hope that I have struck a proper com promise, between dwelling too much on special details and not giving enough technical exercises, necessary to acquire the desired familiarity with the subject. In any case, certain routine habits of sophisticated mathematicians are unsuitable for a first course. Rigor. This does not mean that so-called rigor has to be abandoned. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Functions of real variables. |
| 9 (RLIN) | 19804 |
| Topical term or geographic name entry element | Real Functions. |
| 9 (RLIN) | 19805 |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1007/978-1-4419-8532-3">https://doi.org/10.1007/978-1-4419-8532-3</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 |
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| Dewey Decimal Classification | S. R. Ranganathan Learning Hub | S. R. Ranganathan Learning Hub | Online | 2023-07-05 | Infokart India Pvt. Ltd., New Delhi | 515.8 | EB1300 | 2023-07-05 | 2023-07-05 | e-Book |