Title
Conformal Mapping (Dover Books On Mathematics)
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Conformal Mapping Is A Field In Which Pure And Applied Mathematics Are Both Involved. This Book Tries To Bridge The Gulf That Many Times Divides These Two Disciplines By Combining The Theoretical And Practical Approaches To The Subject. It Will Interest The Pure Mathematician, Engineer, Physicist, And Applied Mathematician.The Potential Theory And Complex Function Theory Necessary For A Full Treatment Of Conformal Mapping Are Developed In The First Four Chapters, So The Reader Needs No Other Text On Complex Variables. These Chapters Cover Harmonic Functions, Analytic Functions, The Complex Integral Calculus, And Families Of Analytic Functions. Included Here Are Discussions Of Green'S Formula, The Poisson Formula, The Cauchyriemann Equations, Cauchy'S Theorem, The Laurent Series, And The Residue Theorem. The Final Three Chapters Consider In Detail Conformal Mapping Of Simplyconnected Domains, Mapping Properties Of Special Functions, And Conformal Mapping Of Multiplyconnected Domains. The Coverage Here Includes Such Topics As The Schwarz Lemma, The Riemann Mapping Theorem, The Schwarzchristoffel Formula, Univalent Functions, The Kernel Function, Elliptic Functions, Univalent Functions, The Kernel Function, Elliptic Functions, The Schwarzian Sfunctions, Canonical Domains, And Bounded Functions. There Are Many Problems And Exercises, Making The Book Useful For Both Selfstudy And Classroom Use.The Author, Former Professor Of Mathematics At Carnegiemellon University, Has Designed The Book As A Semester'S Introduction To Functions Of A Complex Variable Followed By A Oneyear Graduate Course In Conformal Mapping. The Material Is Presented Simply And Clearly, And The Only Prerequisite Is A Good Working Knowledge Of Advanced Calculus.
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- Q: What is the page count of this book? A: This book has four hundred sixteen pages. It provides a comprehensive overview of conformal mapping and includes exercises for practice.
- Q: What are the dimensions of 'Conformal Mapping'? A: The book measures five point six seven inches in length, zero point eight three inches in width, and eight point two inches in height.
- Q: What type of binding does this book have? A: This book is available in paperback binding. This makes it flexible and easy to handle for both study and reference.
- Q: How can I use this book effectively? A: You can use this book for self-study or in a classroom setting. It is designed as an introduction followed by advanced topics in conformal mapping.
- Q: Is this book suitable for beginners? A: Yes, this book is suitable for beginners with a good working knowledge of advanced calculus. It starts with fundamental concepts before progressing to advanced topics.
- Q: Are there exercises included in the book? A: Yes, the book includes numerous problems and exercises. These are designed to reinforce the concepts presented and facilitate self-study.
- Q: How should I store this book to keep it in good condition? A: Store the book in a dry, cool place away from direct sunlight. This will help preserve the quality of the pages and binding over time.
- Q: Can I clean the book if it gets dirty? A: Yes, you can gently wipe the cover with a soft, dry cloth. Avoid using liquids, as they may damage the pages or binding.
- Q: What should I do if my book arrives damaged? A: If your book arrives damaged, you should contact the seller immediately for a return or exchange. Most sellers have policies in place for such situations.
- Q: Is this book appropriate for classroom use? A: Yes, this book is appropriate for classroom use. It is designed to be used as a semester-long introduction to complex functions and conformal mapping.
- Q: Who is the author of 'Conformal Mapping'? A: The author is Zeev Nehari, a former professor of mathematics at Carnegie-Mellon University. His expertise lends credibility to the content of the book.
- Q: What topics are covered in the book? A: The book covers topics such as harmonic functions, analytic functions, and conformal mapping of simply and multiply-connected domains.
- Q: Can I use this book for graduate-level studies? A: Yes, this book is suitable for graduate-level studies. It is designed to follow an introductory course on complex variables.
- Q: Does the book include theoretical and practical approaches? A: Yes, it combines both theoretical and practical approaches to conformal mapping. This makes it valuable for a wide range of readers, including engineers and physicists.
- Q: Does the book discuss special functions? A: Yes, the book includes discussions on special functions involved in conformal mapping. These are essential for understanding the mapping properties.