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COMPLEX VARIABLES AND APPLICATIONS, 9TH EDITION
Publisher:
MC GRAW HILL INDIA
| Author:
BROWN JAMES WARD, CHURCHILL RUEL V.
| Language:
English
| Format:
Paperback
Publisher:
MC GRAW HILL INDIA
Author:
BROWN JAMES WARD, CHURCHILL RUEL V.
Language:
English
Format:
Paperback
₹688
Save: 20%
In stock
Ships within:
1-4 Days
In stock
ISBN:
Page Extent:
480
A thoroughly revised Complex Variables and Applications, in its Ninth Edition, still preserves the basic content and style of the earlier editions and continues to be a popular textbook on introductory course in the theory and application of functions of a complex variable. The text is designed to develop those parts of the theory that are prominent in applications of the subject and also to furnish an introduction to applications of residues and conformal mapping. To accommodate the different calculus backgrounds of students, footnotes are given with references to other texts that contain proofs and discussions of the more delicate results from calculus and advanced calculus. Improvements in the text include extended explanations of theorems, greater detail in arguments, many new examples and the separation of topics into their own sections.
Salient Features:
1) The treatment of the extended form of the Cauchy integral formula for derivatives has been completely rewritten, with special attention to its immediate consequences.
2) Improvements include more details in arguments involving mathematical induction, greater emphasis on rules for using complex exponents, some discussion of residues at infinity, and a clearer exposition of real improper integrals and their Cauchy principal values.
3) Important material is presented in a more focused way by placing it in separate sections. For instance, the discussion of upper bounds of moduli of contour integrals is now entirely in one section, and there is a separate section devoted to the definition of isolated singular points.
Description
A thoroughly revised Complex Variables and Applications, in its Ninth Edition, still preserves the basic content and style of the earlier editions and continues to be a popular textbook on introductory course in the theory and application of functions of a complex variable. The text is designed to develop those parts of the theory that are prominent in applications of the subject and also to furnish an introduction to applications of residues and conformal mapping. To accommodate the different calculus backgrounds of students, footnotes are given with references to other texts that contain proofs and discussions of the more delicate results from calculus and advanced calculus. Improvements in the text include extended explanations of theorems, greater detail in arguments, many new examples and the separation of topics into their own sections.
Salient Features:
1) The treatment of the extended form of the Cauchy integral formula for derivatives has been completely rewritten, with special attention to its immediate consequences.
2) Improvements include more details in arguments involving mathematical induction, greater emphasis on rules for using complex exponents, some discussion of residues at infinity, and a clearer exposition of real improper integrals and their Cauchy principal values.
3) Important material is presented in a more focused way by placing it in separate sections. For instance, the discussion of upper bounds of moduli of contour integrals is now entirely in one section, and there is a separate section devoted to the definition of isolated singular points.
About Author
JAMES WARD BROWN is Professor Emeritus of Mathematics at The University of Michigan–Dearborn. He earned his A.B. in physics from Harvard University and his A.M. and Ph.D. in mathematics from The University of Michigan in Ann Arbor, where he was an Institute of Science and Technology Predoctoral Fellow. He is coauthor with Dr. Churchill of Fourier Series and Boundary Value Problems, now in its eighth edition. He has received a research grant from the National Science Foundation as well as a Distinguished Faculty Award from the Michigan Association of Governing Boards of Colleges and Universities. Dr. Brown is listed in Who’s Who in the World. RUEL V. CHURCHILL was, at the time of his death in 1987, Professor Emeritus of Mathematics at The University of Michigan, where he began teaching in 1922. He received his B.S. in physics from the University of Chicago and his M.S. in physics and Ph.D. in mathematics from The University of Michigan. Hewas coauthor with Dr. Brown of Fourier Series and Boundary Value Problems, a classic text that he first wrote almost 75 years ago. He was also the author of Operational Mathematics. Dr. Churchill held various offices in the Mathematical Association of America and in other mathematical societies and councils.
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