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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
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An Introduction to Complex Analysis and the Laplace Transform (Hardcover)
Loot Price: R3,673
Discovery Miles 36 730
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An Introduction to Complex Analysis and the Laplace Transform (Hardcover)
Series: Textbooks in Mathematics
Expected to ship within 12 - 19 working days
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The aim of this comparatively short textbook is a sufficiently full
exposition of the fundamentals of the theory of functions of a
complex variable to prepare the student for various applications.
Several important applications in physics and engineering are
considered in the book. This thorough presentation includes all
theorems (with a few exceptions) presented with proofs. No previous
exposure to complex numbers is assumed. The textbook can be used in
one-semester or two-semester courses. In one respect this book is
larger than usual, namely in the number of detailed solutions of
typical problems. This, together with various problems, makes the
book useful both for self- study and for the instructor as well. A
specific point of the book is the inclusion of the Laplace
transform. These two topics are closely related. Concepts in
complex analysis are needed to formulate and prove basic theorems
in Laplace transforms, such as the inverse Laplace transform
formula. Methods of complex analysis provide solutions for problems
involving Laplace transforms. Complex numbers lend clarity and
completion to some areas of classical analysis. These numbers found
important applications not only in the mathematical theory, but in
the mathematical descriptions of processes in physics and
engineering.
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