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 indepth selfstudy guide. Its unique programmed approach patiently presents the mathematics in a stepbystep 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
a2z a2z angle Apply becomes bounded Cartesian coordinates closed Complete constant coordinates cos² curl F curve curvilinear coordinates cylindrical defined determine diagram direction dx dy dy dx dy dz element enclosed equations Evaluate exact differential Example expression Əz Əx Əz Əz figure Finally Finish Frame function Further given gives grad increase limits line integral magnitude move normal Note obtain partial derivatives path plane polar coordinates position problems Program quantity radius region remember respect result scalar sin² solid spherical surface theorem triple unit vectors values variables vector field volume x²y δι δν ӘР Әх ди ду дх მ მ მი