Vector Calculus
by Barr, Thomas H.Edition: 2nd
Format: Paperback
Pub. Date: 2000-11-07
Publisher(s): Pearson
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Summary
This brief book presents an accessible treatment of multivariable calculus with an early emphasis on linear algebra as a tool. Its organization draws strong analogies with the basic ideas of elementary calculus (derivative, integral, and fundamental theorem). Traditional in approach, it is written with an assumption that the student reader may have computing facilities for two- and three-dimensional graphics, and for doing symbolic algebra. Chapter topics include coordinate and vector geometry, differentiation, applications of differentiation, integration, and fundamental theorems. For those with knowledge of introductory calculus in a wide range of disciplines including--but not limited to--mathematics, engineering, physics, chemistry, and economics.
Table of Contents
| Preface | ix | ||||
|
1 | (100) | |||
|
2 | (8) | |||
|
10 | (8) | |||
|
18 | (8) | |||
|
26 | (8) | |||
|
34 | (14) | |||
|
48 | (9) | |||
|
57 | (12) | |||
|
69 | (9) | |||
|
78 | (12) | |||
|
90 | (11) | |||
|
101 | (50) | |||
|
102 | (11) | |||
|
113 | (13) | |||
|
126 | (7) | |||
|
133 | (11) | |||
|
144 | (7) | |||
|
151 | (62) | |||
|
152 | (9) | |||
|
161 | (10) | |||
|
171 | (6) | |||
|
177 | (12) | |||
|
189 | (12) | |||
|
201 | (12) | |||
|
213 | (55) | |||
|
213 | (11) | |||
|
224 | (7) | |||
|
231 | (8) | |||
|
239 | (13) | |||
|
252 | (16) | |||
|
268 | (109) | |||
|
269 | (12) | |||
|
281 | (13) | |||
|
294 | (19) | |||
|
313 | (13) | |||
|
326 | (13) | |||
|
339 | (17) | |||
|
356 | (12) | |||
|
368 | (9) | |||
|
377 | (39) | |||
|
377 | (12) | |||
|
389 | (8) | |||
|
397 | (10) | |||
|
407 | (9) | |||
|
416 | (15) | |||
|
416 | (1) | |||
|
417 | (1) | |||
|
417 | (1) | |||
|
417 | (2) | |||
|
419 | (3) | |||
|
422 | (1) | |||
|
423 | (1) | |||
|
424 | (7) | |||
| Bibliography | 431 | (2) | |||
| Answers to Selected Exercises | 433 | (20) | |||
| Index | 453 |
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