Introductory Complex Analysis (Dover Books on Mathematics)

3.21 avg rating
( 14 ratings by Goodreads )
 
9780486646862: Introductory Complex Analysis (Dover Books on Mathematics)
View all copies of this ISBN edition:
 
 

Introductory Complex Analysis is a scaled-down version of A. I. Markushevich's masterly three-volume "Theory of Functions of a Complex Variable." Dr. Richard Silverman, the editor and translator of the original, has prepared this shorter version expressly to meet the needs of a one-year graduate or undergraduate course in complex analysis. In his selection and adaptation of the more elementary topics from the original larger work, he was guided by a brief course prepared by Markushevich himself.
The book begins with fundamentals, with a definition of complex numbers, their geometric representation, their algebra, powers and roots of complex numbers, set theory as applied to complex analysis, and complex functions and sequences. The notions of proper and improper complex numbers and of infinity are fully and clearly explained, as is stereographic projection. Individual chapters then cover limits and continuity, differentiation of analytic functions, polynomials and rational functions, Mobius transformations with their circle-preserving property, exponentials and logarithms, complex integrals and the Cauchy theorem , complex series and uniform convergence, power series, Laurent series and singular points, the residue theorem and its implications, harmonic functions (a subject too often slighted in first courses in complex analysis), partial fraction expansions, conformal mapping, and analytic continuation.
Elementary functions are given a more detailed treatment than is usual for a book at this level. Also, there is an extended discussion of the Schwarz-Christolfel transformation, which is particularly important for applications.
There is a great abundance of worked-out examples, and over three hundred problems (some with hints and answers), making this an excellent textbook for classroom use as well as for independent study. A noteworthy feature is the fact that the parentage of this volume makes it possible for the student to pursue various advanced topics in more detail in the three-volume original, without the problem of having to adjust to a new terminology and notation .
In this way, IntroductoryComplex Analysis serves as an introduction not only to the whole field of complex analysis, but also to the magnum opus of an important contemporary Russian mathematician.

"synopsis" may belong to another edition of this title.

About the Author:

Richard A. Silverman: Dover's Trusted Advisor
Richard Silverman was the primary reviewer of our mathematics books for well over 25 years starting in the 1970s. And, as one of the preeminent translators of scientific Russian, his work also appears in our catalog in the form of his translations of essential works by many of the greatest names in Russian mathematics and physics of the twentieth century. These titles include (but are by no means limited to): Special Functions and Their Applications (Lebedev); Methods of Quantum Field Theory in Statistical Physics (Abrikosov, et al); An Introduction to the Theory of Linear Spaces, Linear Algebra, and Elementary Real and Complex Analysis (all three by Shilov); and many more.

During the Silverman years, the Dover math program attained and deepened its reach and depth to a level that would not have been possible without his valuable contributions.

"About this title" may belong to another edition of this title.

Other Popular Editions of the Same Title

9780135018668: Introductory Complex Analysis

Featured Edition

ISBN 10:  0135018668 ISBN 13:  9780135018668
Publisher: Prentice Hall, 1967
Hardcover

9780486613222: Introductory Complex Analysis

Dover ..., 1973
Softcover

9781124163703: Introductory Complex Analysis, HARDcover

PRENTI..., 1967
Hardcover

Top Search Results from the AbeBooks Marketplace

1.

Silverman, Richard A.
Published by Dover Publishers
ISBN 10: 0486646866 ISBN 13: 9780486646862
New Quantity Available: > 20
Seller:
INDOO
(Avenel, NJ, U.S.A.)
Rating
[?]

Book Description Dover Publishers. Condition: New. Brand New. Seller Inventory # 0486646866

More information about this seller | Contact this seller

Buy New
US$ 10.20
Convert currency

Add to Basket

Shipping: US$ 3.60
Within U.S.A.
Destination, rates & speeds

2.

Silverman, Richard A.
Published by Dover Publications
ISBN 10: 0486646866 ISBN 13: 9780486646862
New PAPERBACK Quantity Available: > 20
Seller:
Mediaoutlet12345
(Springfield, VA, U.S.A.)
Rating
[?]

Book Description Dover Publications. PAPERBACK. Condition: New. 0486646866 *BRAND NEW* Ships Same Day or Next!. Seller Inventory # NATARAJB1FI999808

More information about this seller | Contact this seller

Buy New
US$ 11.99
Convert currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, rates & speeds

3.

Richard A. Silverman
ISBN 10: 0486646866 ISBN 13: 9780486646862
New Paperback Quantity Available: 1
Seller:
Grand Eagle Retail
(Wilmington, DE, U.S.A.)
Rating
[?]

Book Description Paperback. Condition: New. Paperback. A shorter version of A. I. Markushevich's masterly three-volume Theory of Functions of a Complex Variable, this edition is appropriate for advanced undergraduate and graduate courses in co.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 400 pages. 0.445. Seller Inventory # 9780486646862

More information about this seller | Contact this seller

Buy New
US$ 18.41
Convert currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, rates & speeds

4.

Richard A. Silverman
Published by Dover Publications Inc., United States (1984)
ISBN 10: 0486646866 ISBN 13: 9780486646862
New Paperback Quantity Available: 10
Seller:
Book Depository hard to find
(London, United Kingdom)
Rating
[?]

Book Description Dover Publications Inc., United States, 1984. Paperback. Condition: New. Language: English. Brand new Book. Introductory Complex Analysis is a scaled-down version of A. I. Markushevich's masterly three-volume "Theory of Functions of a Complex Variable." Dr. Richard Silverman, the editor and translator of the original, has prepared this shorter version expressly to meet the needs of a one-year graduate or undergraduate course in complex analysis. In his selection and adaptation of the more elementary topics from the original larger work, he was guided by a brief course prepared by Markushevich himself.The book begins with fundamentals, with a definition of complex numbers, their geometric representation, their algebra, powers and roots of complex numbers, set theory as applied to complex analysis, and complex functions and sequences. The notions of proper and improper complex numbers and of infinity are fully and clearly explained, as is stereographic projection. Individual chapters then cover limits and continuity, differentiation of analytic functions, polynomials and rational functions, Mobius transformations with their circle-preserving property, exponentials and logarithms, complex integrals and the Cauchy theorem, complex series and uniform convergence, power series, Laurent series and singular points, the residue theorem and its implications, harmonic functions (a subject too often slighted in first courses in complex analysis), partial fraction expansions, conformal mapping, and analytic continuation.Elementary functions are given a more detailed treatment than is usual for a book at this level. Also, there is an extended discussion of the Schwarz-Christolfel transformation, which is particularly important for applications.There is a great abundance of worked-out examples, and over three hundred problems (some with hints and answers), making this an excellent textbook for classroom use as well as for independent study. A noteworthy feature is the fact that the parentage of this volume makes it possible for the student to pursue various advanced topics in more detail in the three-volume original, without the problem of having to adjust to a new terminology and notation .In this way, IntroductoryComplex Analysis serves as an introduction not only to the whole field of complex analysis, but also to the magnum opus of an important contemporary Russian mathematician. Seller Inventory # BTE9780486646862

More information about this seller | Contact this seller

Buy New
US$ 23.53
Convert currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, rates & speeds

5.

Silverman
ISBN 10: 0486646866 ISBN 13: 9780486646862
New PAPERBACK Quantity Available: 10
Seller:
DC Bookdepot
(New Delhi, India)
Rating
[?]

Book Description PAPERBACK. Condition: New. Book Cover and ISBN may be different from US edition but contents as same US Edition.We do not provide CD and access code. We may ship the books from Asian regions for inventory purpose. Our courier service is not available at APO FPO AND PO BOX. Seller Inventory # 88002

More information about this seller | Contact this seller

Buy New
US$ 16.51
Convert currency

Add to Basket

Shipping: US$ 9.20
From India to U.S.A.
Destination, rates & speeds

6.

Silverman
ISBN 10: 0486646866 ISBN 13: 9780486646862
New Quantity Available: 2
Seller:
Bookshub
(Karol Bagh, India)
Rating
[?]

Book Description Condition: New. New. US edition. Perfect condition. Customer satisfaction our priority. Seller Inventory # ABE-DEC-38610

More information about this seller | Contact this seller

Buy New
US$ 26.67
Convert currency

Add to Basket

Shipping: FREE
From India to U.S.A.
Destination, rates & speeds

7.

Silverman
ISBN 10: 0486646866 ISBN 13: 9780486646862
New Quantity Available: 5
Seller:
firstbookstore
(New Delhi, India)
Rating
[?]

Book Description Condition: Brand New. Brand New Original US Edition, Perfect Condition. Printed in English. Excellent Quality, Service and customer satisfaction guaranteed!. Seller Inventory # AINDN-54490

More information about this seller | Contact this seller

Buy New
US$ 26.69
Convert currency

Add to Basket

Shipping: FREE
From India to U.S.A.
Destination, rates & speeds

8.

Silverman
ISBN 10: 0486646866 ISBN 13: 9780486646862
New Quantity Available: 2
Seller:
EBOOKSTORE2010
(New Delhi, ND, India)
Rating
[?]

Book Description Condition: Brand New. New. US edition. Customer Satisfaction guaranteed!!. Seller Inventory # SHUB38610

More information about this seller | Contact this seller

Buy New
US$ 26.72
Convert currency

Add to Basket

Shipping: FREE
From India to U.S.A.
Destination, rates & speeds

9.

Silverman
ISBN 10: 0486646866 ISBN 13: 9780486646862
New Quantity Available: 5
Seller:
Romtrade Corp.
(STERLING HEIGHTS, MI, U.S.A.)
Rating
[?]

Book Description Condition: New. Brand New Original US Edition.We Ship to PO BOX Address also. EXPEDITED shipping option also available for faster delivery.This item may ship fro the US or other locations in India depending on your location and availability. Seller Inventory # AUNEW-54490

More information about this seller | Contact this seller

Buy New
US$ 26.88
Convert currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, rates & speeds

10.

Silverman
ISBN 10: 0486646866 ISBN 13: 9780486646862
New Quantity Available: 2
Seller:
Basi6 International
(Irving, TX, U.S.A.)
Rating
[?]

Book Description Condition: Brand New. New, US edition. Excellent Customer Service. Seller Inventory # ABEUSADEC18-38610

More information about this seller | Contact this seller

Buy New
US$ 26.92
Convert currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, rates & speeds

There are more copies of this book

View all search results for this book