Vector Analysis

Front Cover
Industrial Press Inc., 2005 - Mathematics - 346 pages
2 Reviews
Using 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.
  • Uses a unique programmed approach that takes readers through the mathematics in a step-by-step fashion with a wealth of worked examples and exercises.
  • Contains many Quizzes, Learning Outcomes, and Can You? checklists.
  • Ideal as a classroom textbook or a self-learning manual.

 

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User Review  - robertf - LibraryThing

Struggling 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
Learning outcomes
151
Volume integrals
168
Curvilinear coordinates
179
Can You? Checklist 6
191
Vector integratior
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
Index
345
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