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Complex Variables: Second Edition (Dover Books On Mathematics)
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This Text On Complex Variables Is Geared Toward Graduate Students And Undergraduates Who Have Taken An Introductory Course In Real Analysis. It Is A Substantially Revised And Updated Edition Of The Popular Text By Robert B. Ash, Offering A Concise Treatment That Provides Careful And Complete Explanations As Well As Numerous Problems And Solutions.An Introduction Presents Basic Definitions, Covering Topology Of The Plane, Analytic Functions, Realdifferentiability And The Cauchyriemann Equations, And Exponential And Harmonic Functions. Succeeding Chapters Examine The Elementary Theory And The General Cauchy Theorem And Its Applications, Including Singularities, Residue Theory, The Open Mapping Theorem For Analytic Functions, Linear Fractional Transformations, Conformal Mapping, And Analytic Mappings Of One Disk To Another. The Riemann Mapping Theorem Receives A Thorough Treatment, Along With Factorization Of Analytic Functions. As An Application Of Many Of The Ideas And Results Appearing In Earlier Chapters, The Text Ends With A Proof Of The Prime Number Theorem.
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- Q: What are the dimensions of this book? A: The book measures six and a half inches by nine and seven hundredths inches and is five hundred seventy thousandths inches thick.
- Q: How many pages does this book have? A: The book contains two hundred twenty-four pages, providing a comprehensive overview of complex variables.
- Q: What is the binding type of this book? A: This book is available in paperback binding, making it lightweight and portable.
- Q: Is this book suitable for beginners? A: No, this book is geared toward graduate students and undergraduates who have completed an introductory course in real analysis.
- Q: What topics does this book cover? A: The book covers complex variables, including analytic functions, singularities, and the Riemann mapping theorem.
- Q: What is the target audience for this book? A: The target audience includes graduate students and undergraduate students with prior knowledge in real analysis.
- Q: How should I care for this book? A: To keep this book in good condition, store it in a cool, dry place and avoid exposure to direct sunlight.
- Q: Can this book be read by high school students? A: No, this book is not recommended for high school students as it requires prior knowledge of advanced mathematics.
- Q: Is there a warranty or guarantee for this book? A: Typically, books do not come with a warranty, but check with the retailer for their return policy.
- Q: What do I do if my book arrives damaged? A: If your book arrives damaged, contact the retailer for their return or exchange policy.
- Q: Is this book a part of a series? A: Yes, this book is part of the Dover Books on Mathematics series.
- Q: Do I need any special materials to study from this book? A: No special materials are required, but having access to mathematical tools can enhance your learning experience.
- Q: How is this book different from other mathematics books? A: This book provides a concise treatment of complex variables with careful explanations and numerous problems and solutions.
- Q: Is there an eBook version available? A: Availability of an eBook version depends on the retailer; check their listings for digital formats.
- Q: What is the author's background? A: The author, Robert B. Ash, is known for his expertise in mathematics and has written several educational texts.