eBook - PDF

Advanced Calculus and Vector Field Theory

Name: Advanced Calculus and Vector Field Theory
ISBN: 9781483195339

Kathleen M. Urwin,

278 pages
English
PDF
Available on iOS & Android

eBook - PDF

Advanced Calculus and Vector Field Theory

Kathleen M. Urwin,

About this book

THIS book falls naturally into two parts. In Chapters 1-5 the basic ideas and techniques of partial differentiation, and of line, multiple and surface integrals are discussed. Chapters 6 and 7 give the elements of vector field theory, taking the integral definitions of the divergence and curl of a vector field as their starting points; the last chapter surveys very briefly some of the immediate applications of vector field theory to five branches of applied mathematics. Throughout I have given numerous worked examples. In these I have paid particular attention to those points which in my own experience I have found to give most difficulty to students. In the text I have denoted spherical polar coordinates by (/-, 0, ?)9 and cylindrical polar coordinates by (p, ?, ?), so that ? measures the same angle in both systems. Since there is no one standard notation for these systems, the reader will meet different notations in the course of his reading, and in quoting examination questions in the exercises I have kept to the notation of the originals. The Exercises at the end of each section are intended to give practice in the basic techniques just discussed. The Miscellaneous Exercises are more varied, and contain many examination questions.

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Yes, you can access Advanced Calculus and Vector Field Theory by Kathleen M. Urwin in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.