Vector Analysis

Front Cover
Industrial Press Inc., 2005 - Mathematics - 346 pages
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.

From inside the book

Contents

Learning outcomes
25
Change of variables
37
Program 3
57
Review summary
76
Double integrals
84
Triple integrals
86
Alternative notation
93
Determination of volumes by multiple integrals
99
Review summary
225
Differentiation of vectors
231
Partial differentiation of vectors
238
Summary of grad div and curl
254
Can You? Checklist 8
260
Vector integration
263
Volume integrals
271
Conservative vector fields
284

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 representation
197
Vectors in space
207
Angle between two vectors
215
Stokes theorem
295
80
304
Test exercise 9
310
Orthogonal coordinate systems in space
320
General curvilinear coordinate system u v w
327
Particular orthogonal systems
333
8888
336
Further problems 10
339
80
344
Index
345
Copyright

Other editions - View all

Common terms and phrases

Bibliographic information