MARC details
| 000 -LEADER |
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| fixed length control field |
03066nam a22003257a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20250508155922.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
250508b |||||||| |||| 00| 0 hin d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781493970841 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
NISER LIBRARY |
| Transcribing agency |
NISER LIBRARY |
| Language of cataloging |
eng |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
517.2 |
| Item number |
GHO-C |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Ghorpade, Sudhir R. |
| 245 12 - TITLE STATEMENT |
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| Title |
Course in multivariable calculus and analysis |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc. |
New York : |
| Name of publisher, distributor, etc. |
Springer, |
| Date of publication, distribution, etc. |
2009. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xii, 475 pages : |
| Other physical details |
illustrations (chiefly color). |
| 490 0# - SERIES STATEMENT |
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| Series statement |
Undergraduate texts in mathematics, |
| International Standard Serial Number |
0172-6056 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (pages [463]-465) and index |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
This self-contained textbook gives a thorough exposition of multivariable calculus. It can be viewed as a sequel to the one-variable calculus text, A Course in Calculus and Real Analysis, published in the same series. The emphasis is on correlating general concepts and results of multivariable calculus with their counterparts in one-variable calculus. For example, when the general definition of the volume of a solid is given using triple integrals, the authors explain why the shell and washer methods of one-variable calculus for computing the volume of a solid of revolution must give the same answer. Further, the book includes genuine analogues of basic results in one-variable calculus, such as the mean value theorem and the fundamental theorem of calculus.<br/><br/>This book is distinguished from others on the subject: it examines topics not typically covered, such as monotonicity, bimonotonicity, and convexity, together with their relation to partial differentiation, cubature rules for approximate evaluation of double integrals, and conditional as well as unconditional convergence of double series and improper double integrals. Moreover, the emphasis is on a geometric approach to such basic notions as local extremum and saddle point.<br/><br/>Each chapter contains detailed proofs of relevant results, along with numerous examples and a wide collection of exercises of varying degrees of difficulty, making the book useful to undergraduate and graduate students alike. There is also an informative section of "Notes and Comments’’ indicating some novel features of the treatment of topics in that chapter as well as references to relevant literature. The only prerequisite for this text is a course in one-variable calculus. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Calculus. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Functions of several complex variables. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Calculus |
| Form subdivision |
Problems, exercises, etc. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Functions of several complex variables |
| Form subdivision |
Problems, exercises, etc. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Differential equation |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Multivariable calculus |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Limaye, Balmohan V. |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
Electronic versions |
| Uniform Resource Identifier |
<a href="https://link.springer.com/book/10.1007/978-1-4419-1621-1">https://link.springer.com/book/10.1007/978-1-4419-1621-1</a> |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Table of contents |
| Uniform Resource Identifier |
<a href="https://link.springer.com/content/pdf/bfm:978-1-4419-1621-1/1">https://link.springer.com/content/pdf/bfm:978-1-4419-1621-1/1</a> |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Materials specified |
Reviews |
| Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/17638301-a-course-in-multivariable-calculus-and-analysis?ref=nav_sb_ss_1_13#CommunityReviews">https://www.goodreads.com/book/show/17638301-a-course-in-multivariable-calculus-and-analysis?ref=nav_sb_ss_1_13#CommunityReviews</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Universal Decimal Classification |
| Koha item type |
NBHM Books |
