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Mathematical Aspects of Subsonic and Transonic Gas Dynamics (Dover Books on Physics)

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Book Details

  • Author: Lipman Bers

  • Binding: Kindle Edition

  • Format: Kindle eBook

  • Number of Pages: 178

  • Release Date: 05-10-2016

  • Language: English

About The Book
The Theory of Conformal Mappings by Lipman Bers is a concise yet insightful text on the theory of conformal mappings, a central concept in complex analysis and geometry. This Kindle edition, released on 5th October 2016, offers a deep dive into the subject, focusing on both theoretical aspects and practical applications.

Conformal mappings play a crucial role in fields such as fluid dynamics, electrical engineering, and several branches of mathematics, particularly in the study of complex functions and their transformations. In this book, Bers provides clear explanations of the key principles, with an emphasis on:

  • Fundamentals of Conformal Mappings: An introduction to the core concepts, including mappings between complex domains and the conditions for a function to be conformal.

  • Riemann Surfaces: In-depth treatment of Riemann surfaces and their connection to conformal mappings.

  • Applications and Examples: Practical examples demonstrating the relevance of conformal mappings in solving real-world problems, particularly in physics and engineering.

  • Mathematical Tools: Coverage of the necessary mathematical tools, such as Schwarz-Christoffel transformations and boundary behavior of conformal maps.

This text is ideal for advanced students and professionals in mathematics, particularly those studying complex analysis, as well as researchers interested in the theoretical and applied aspects of conformal mappings. Its accessibility and rigorous approach make it a valuable addition to the field of mathematical literature.