Vector AnalysisUsing the same innovative and proven approach that made the authors' Engineering Mathematics a worldwide bestseller, this book can be used in the classroom or as an in-depth self-study guide. Its unique programmed approach patiently presents the mathematics in a step-by-step fashion together with a wealth of worked examples and exercises. It also contains Quizzes, Learning Outcomes, and Can You? checklists that guide readers through each topic and reinforce learning and comprehension. Both students and professionals alike will find this book a very effective learning tool and reference.
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LibraryThing Review
User Review - robertf - LibraryThingStruggling to teach myself electromagnetism (for fun), I bought this book to get my maths to a sufficient level. The book uses program learning, and step by step teaches the subject matter needed to ... Read full review
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WOW! Stroud and Booth are obvioulsy very gifted teachers. This book does not assume you are a calculus "memory bank." By going through the drills with partial derviative before even introducing vectors, their differential operators, and intergral theorems this book compleley refreshes your knowledge in a practical an encouraging way. It is a treasured resource for practical problems that are worked out in detail.
Contents
Small increments | 16 |
Can You? Checklist 1 | 22 |
Rateofchange problems | 29 |
Change of variables | 37 |
Inverse functions | 43 |
Review summary | 51 |
Introduction | 57 |
Review summary | 76 |
Vector representation | 197 |
Vectors in space | 207 |
Angle between two vectors | 215 |
Review summary | 225 |
Differentiation of vectors | 231 |
Partial differentiation of vectors | 238 |
Summary of grad div and curl | 254 |
Further problems 8 | 261 |
Double integrals | 84 |
Triple integrals | 86 |
Alternative notation | 93 |
Determination of volumes by multiple integrals | 99 |
Can You? Checklist 4 | 105 |
Area enclosed by a closed curve | 115 |
Greens theorem in the plane | 138 |
Review summary | 145 |
Surface and volume integrals | 151 |
Element of volume in space in the three coordinate systems | 167 |
Curvilinear coordinates | 179 |
Can You? Checklist 6 | 191 |
Vector integration | 263 |
Volume integrals | 271 |
Conservative vector fields | 284 |
Stokes theorem | 295 |
Greens theorem | 304 |
Test exercise 9 | 310 |
Orthogonal coordinate systems in space | 320 |
General curvilinear coordinate system u v w | 327 |
Particular orthogonal systems | 333 |
Further problems 10 | 339 |
| 345 | |
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Common terms and phrases
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Bibliographic information
| Title | Vector Analysis |
| Author | K. A. Stroud |
| Edition | illustrated |
| Publisher | Industrial Press Inc., 2005 |
| ISBN | 0831132086, 9780831132088 |
| Length | 346 pages |
| Export Citation | BiBTeX EndNote RefMan |