Complex Analysis
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Complex Analysis

3.39 (48 ratings by Goodreads)
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Description

Now in its fourth edition, the first part of this book is devoted to the basic material of complex analysis, while the second covers many special topics, such as the Riemann Mapping Theorem, the gamma function, and analytic continuation. Power series methods are used more systematically than is found in other texts, and the resulting proofs often shed more light on the results than the standard proofs. While the first part is suitable for an introductory course at undergraduate level, the additional topics covered in the second part give the instructor of a gradute course a great deal of flexibility in structuring a more advanced course.
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Product details

  • Paperback | 489 pages
  • 155 x 235 x 25.65mm | 771g
  • New York, NY, United States
  • English
  • Revised
  • Softcover reprint of hardcover 4th ed. 1999
  • 85 Illustrations, black and white; XIV, 489 p. 85 illus.
  • 144193135X
  • 9781441931351
  • 2,635,337

Table of contents

I: BASIC THEORY. 1: Complex Numbers and Functions. 2: Power Series. 3: Cauchy's Theorem, First Part. 4: Winding Numbers and Cauchy's Theorem. 5: Applications of Cauchy's Integral Formula. 6: Calculus of Residues. 7: Conformal Mappings. 8: Harmonic Functions. II: GEOMETRIC FUNCTION THEORY. 9: Schwarz Reflection. 10: The Riemann Mapping Theorem. 11: Analytic Continuation Along Curves. III: VARIOUS ANALYTIC TOPICS. 12: Applications of the Maximum Modulus Principle and Jensen's Formula. 13: Entire and Meromorphic Functions. 14: Elliptic Functions. 15: The Gamma and Zeta Functions. 16: The Prime Number Theorem.
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Review Text

" The very understandable style of explanation, which is typical for this author, makes the book valuable for both students and teachers."
EMS Newsletter, Vol. 37, Sept. 2000

Fourth Edition

S. Lang

Complex Analysis

"A highly recommendable book for a two semester course on complex analysis."

-ZENTRALBLATTMATH
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Review quote

"The very understandable style of explanation, which is typical for this author, makes the book valuable for both students and teachers."
EMS Newsletter, Vol. 37, Sept. 2000


Fourth Edition


S. Lang


Complex Analysis


"A highly recommendable book for a two semester course on complex analysis."


-ZENTRALBLATTMATH
show more

Rating details

48 ratings
3.39 out of 5 stars
5 23% (11)
4 23% (11)
3 35% (17)
2 8% (4)
1 10% (5)
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