MARC details
| 000 -LEADER |
|---|
| fixed length control field |
03118cam a22003617a 4500 |
| 001 - CONTROL NUMBER |
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| control field |
0000061244 |
| 003 - CONTROL NUMBER IDENTIFIER |
|---|
| control field |
0001 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
091029s2010 nyua b 001 0 eng |
| 015 ## - NATIONAL BIBLIOGRAPHY NUMBER |
|---|
| National bibliography number |
GBA9A9589 |
| Source |
bnb |
|
|---|
| National bibliography number |
09,N44,0612 |
| Source |
dnb |
| 016 7# - NATIONAL BIBLIOGRAPHIC AGENCY CONTROL NUMBER |
|---|
| Record control number |
015416008 |
| Source |
Uk |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9788184896398 |
| 035 ## - SYSTEM CONTROL NUMBER |
|---|
| System control number |
(OCoLC)ocn501392592 |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
UKM |
| Transcribing agency |
UKM |
| Modifying agency |
BWX |
| -- |
OUP |
| -- |
YDXCP |
| -- |
MUU |
| -- |
NJR |
| -- |
DEBBG |
| -- |
DLC |
| 042 ## - AUTHENTICATION CODE |
|---|
| Authentication code |
ukblcatcopy |
| -- |
lccopycat |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
515.94 |
| Edition number |
22 |
| 084 ## - OTHER CLASSIFICATION NUMBER |
|---|
| Classification number |
515.94 |
| Item number |
GHO-C |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Ghorpade, Sudhir, |
| Dates associated with a name |
1963- |
| 245 12 - TITLE STATEMENT |
|---|
| Title |
A course in multivariable calculus and analysis |
| Medium |
[Book] / |
| Statement of responsibility, etc. |
Sudhir R. Ghorpade, Balmohan V. Limaye. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
|---|
| Place of publication, distribution, etc. |
New Delhi : |
| Name of publisher, distributor, etc. |
Springer (India), |
| Date of publication, distribution, etc. |
c2010. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xii, 475 p. : |
| Other physical details |
ill. ; |
| Dimensions |
24 cm. |
| 490 1# - SERIES STATEMENT |
|---|
| Series statement |
Undergraduate texts in mathematics, |
| International Standard Serial Number |
0172-6056 |
| 500 ## - GENERAL NOTE |
|---|
| General note |
"Springer International Edition"--Cover |
| 520 ## - SUMMARY, ETC. |
|---|
| 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. 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. 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. |
| 521 ## - TARGET AUDIENCE NOTE |
|---|
| Target audience note |
All. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Calculus. |
|
|---|
| Topical term or geographic name entry element |
Functions of several complex variables. |
|
|---|
| Topical term or geographic name entry element |
Calculus |
| Form subdivision |
Problems, exercises, etc. |
|
|---|
| Topical term or geographic name entry element |
Functions of several complex variables |
| Form subdivision |
Problems, exercises, etc. |
|
|---|
| Topical term or geographic name entry element |
Analysis. |
| Source of heading or term |
swd. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Limaye, Balmohan Vishnu. |
| 852 ## - LOCATION |
|---|
| Piece designation |
44370 |
| -- |
847.44 |
| Classification part |
515.94 GHO-C |
| Sublocation or collection |
Ground Floor |
| Former shelving location |
Books |
| Copy number |
1 |
| Piece physical condition |
1-New |
| Location |
JZL-CUI |
