Visual complex analysis

著者

• Needham, Tristan

書誌事項

Visual complex analysis

Tristan Needham

Clarendon Press , Oxford University Press, 1998

• : pbk

注記

Includes bibliographical references (p. [573]-578), and index

内容説明・目次

内容説明

Now available in paperback, this successful radical approach to complex analysis replaces the standard calculational arguments with new geometric ones. With several hundred diagrams, and far fewer prerequisites than usual, this is the first visual intuitive introduction to complex analysis. Although designed for use by undergraduates in mathematics and science, the novelty of the approach will also interest professional mathematicians.

目次

• 1. Geometry and Complex Arithmetic
• 2. Complex functions as Transformations
• 3. Mobius Transformations and Inversion
• 4. Differentiation: The Amplitwist Concept
• 5. Further Geometry of Differentiation
• 6. Non-Euclidean Geometry
• 7. Winding Numbers and Topology
• 8. Complex Integration: Cuachy's Theorem
• 9. Cauchy's Formula and Its Applications
• 10. Vector Fields: Physics and Topology
• 11. Vector Fields and Complex Integration
• 12. Flows and Harmonic Functions

「Nielsen BookData」 より

• NII書誌ID(NCID): BA39040299
• ISBN:
  • 9780198534464
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Oxford,New York
• ページ数/冊数: xxiii, 592 p.
• 大きさ: 24 cm
• 分類:
  • LCC : QA331.7
  • DC21 : 515/.9
  • NDC8 : 413.52
• 件名:
  • LCSH : Functions of complex variables
  • LCSH : Mathematical analysis