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Complex Made Simple

2008 Mathematics
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Release : 2008
Genre : Mathematics
Kind : eBook
Book Rating : 792/5 ( reviews)

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Book Synopsis Complex Made Simple by : David C. Ullrich

Download or read book Complex Made Simple written by David C. Ullrich. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: Presents the Dirichlet problem for harmonic functions twice: once using the Poisson integral for the unit disk and again in an informal section on Brownian motion, where the reader can understand intuitively how the Dirichlet problem works for general domains. This book is suitable for a first-year course in complex analysis

Complex Made Simple

Mathematics
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Author :
Release :
Genre : Mathematics
Kind : eBook
Book Rating : 543/5 ( reviews)

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Book Synopsis Complex Made Simple by : David C. Ullrich

Download or read book Complex Made Simple written by David C. Ullrich. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: Shows the student how to think like an analyst. In many cases, results are discovered or derived, with an explanation of how the students might have found the theorem on their own. Ullrich explains why a proof works. He will also, sometimes, explain why a tempting idea does not work. Looks at the Dirichlet problem for harmonic functions twice: once using the Poisson integral for the unit disk and again in an informal section on Brownian motion, where the reader can understand intuitively how the Dirichlet problem works for general domains.Ullrich also takes considerable care to discuss the modular group, modular function, and covering maps, which become important ingredients in his modern treatment of the often-overlooked original proof of the Big Picard Theorem.

Complex Made Simple

2008 Mathematics
Download Complex Made Simple PDF Online Free

Author :
Release : 2008
Genre : Mathematics
Kind : eBook
Book Rating : 633/5 ( reviews)

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Book Synopsis Complex Made Simple by : David C. Ullrich

Download or read book Complex Made Simple written by David C. Ullrich. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: This thorough introduction to complex analysis uses an inviting exposition aimed directly at students, while maintaining the rigor of the material. The text reflects the author's background as an analyst, emphasizing how to do things and why certain topics are important. Unusual features include a section on the relation between Brownian motion and the Dirichlet problem.

Complex Numbers Made Simple

1996-03-12 Business & Economics
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Release : 1996-03-12
Genre : Business & Economics
Kind : eBook
Book Rating : 442/5 ( reviews)

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Book Synopsis Complex Numbers Made Simple by : Verity Carr

Download or read book Complex Numbers Made Simple written by Verity Carr. This book was released on 1996-03-12. Available in PDF, EPUB and Kindle. Book excerpt: Complex Numbers lie at the heart of most technical and scientific subjects. This book can be used to teach complex numbers as a course text,a revision or remedial guide, or as a self-teaching work. The author has designed the book to be a flexiblelearning tool, suitable for A-Level students as well as other students in higher and further education whose courses include a substantial maths component (e.g. BTEC or GNVQ science and engineering courses). Verity Carr has accumulated nearly thirty years of experience teaching mathematics at all levels and has a rare gift for making mathematics simple and enjoyable. At Brooklands College, she has taken a leading role in the development of a highly successful Mathematics Workshop. This series of Made Simple Maths books widens her audience but continues to provide the kind of straightforward and logical approach she has developed over her years of teaching.

Function Theory of One Complex Variable

2006 Mathematics
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Release : 2006
Genre : Mathematics
Kind : eBook
Book Rating : 621/5 ( reviews)

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Book Synopsis Function Theory of One Complex Variable by : Robert Everist Greene

Download or read book Function Theory of One Complex Variable written by Robert Everist Greene. This book was released on 2006. Available in PDF, EPUB and Kindle. Book excerpt: Complex analysis is one of the most central subjects in mathematics. It is compelling and rich in its own right, but it is also remarkably useful in a wide variety of other mathematical subjects, both pure and applied. This book is different from others in that it treats complex variables as a direct development from multivariable real calculus. As each new idea is introduced, it is related to the corresponding idea from real analysis and calculus. The text is rich with examples andexercises that illustrate this point. The authors have systematically separated the analysis from the topology, as can be seen in their proof of the Cauchy theorem. The book concludes with several chapters on special topics, including full treatments of special functions, the prime number theorem,and the Bergman kernel. The authors also treat $Hp$ spaces and Painleve's theorem on smoothness to the boundary for conformal maps. This book is a text for a first-year graduate course in complex analysis. It is an engaging and modern introduction to the subject, reflecting the authors' expertise both as mathematicians and as expositors.

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