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  • Book
  • © 1979

An Introduction to Classical Complex Analysis

Vol. 1

Birkhäuser

Authors:

Part of the book series: Lehrbücher und Monographien aus dem Gebiete der exakten Wissenschaften (LMW, volume 64)

Part of the book sub series: Mathematische Reihe (LMW/MA)

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Table of contents (23 chapters)

  1. Front Matter

    Pages 1-12
  2. Prerequisites and Preliminaries

    • Robert B. Burckel
    Pages 13-21
  3. Curves, Connectedness and Convexity

    • Robert B. Burckel
    Pages 22-40
  4. (Complex) Derivative and (Curvilinear) Integrals

    • Robert B. Burckel
    Pages 41-52
  5. Power Series and the Exponential Function

    • Robert B. Burckel
    Pages 53-82
  6. The Index and Some Plane Topology

    • Robert B. Burckel
    Pages 83-119
  7. Schwarz’ Lemma and its Many Applications

    • Robert B. Burckel
    Pages 191-217
  8. Convergent Sequences of Holomorphic Functions

    • Robert B. Burckel
    Pages 218-255
  9. The Riemann Mapping Theorem

    • Robert B. Burckel
    Pages 293-343
  10. Simple and Double Connectivity

    • Robert B. Burckel
    Pages 344-358
  11. Isolated Singularities

    • Robert B. Burckel
    Pages 359-410
  12. Omitted Values and Normal Families

    • Robert B. Burckel
    Pages 411-461
  13. Erratum

    • Robert B. Burckel
    Pages 571-571
  14. Erratum to: The Index and Some Plane Topology

    • Robert B. Burckel
    Pages 571-571
  15. Erratum to: Simple and Double Connectivity

    • Robert B. Burckel
    Pages 571-571
  16. Erratum to: Omitted Values and Normal Families

    • Robert B. Burckel
    Pages 571-571

Reviews

"This is, I believe, the first modern comprehensive treatise on its subject. The author appears to have read everything, he proves everything, and he has brought to light many interesting but generally forgotten results and methods. The book should be on the desk of everyone who might ever want to see a proof of anything from the basic theory...." (SIAM Review)

" ... An attractive, ingenious, and many time[s] humorous form increases the accessibility of the book...." (Zentralblatt für Mathematik)

"Professor Burckel is to be congratulated on writing such an excellent textbook.... this is certainly a book to give to a good student [who] would profit immensely from it...." (Bulletin London Mathematical Society)

Authors and Affiliations

  • Kansas State University, USA

    Robert B. Burckel

Bibliographic Information

  • Book Title: An Introduction to Classical Complex Analysis

  • Book Subtitle: Vol. 1

  • Authors: Robert B. Burckel

  • Series Title: Lehrbücher und Monographien aus dem Gebiete der exakten Wissenschaften

  • DOI: https://doi.org/10.1007/978-3-0348-9374-9

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Birkhäuser Verlag Basel 1979

  • Hardcover ISBN: 978-3-7643-0989-3Published: 01 January 1979

  • Softcover ISBN: 978-3-0348-9376-3Published: 13 October 2011

  • eBook ISBN: 978-3-0348-9374-9Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XII, 558

  • Topics: Analysis

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access