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Author: David C. Ullrich Publisher: American Mathematical Soc. ISBN: 0821844792 Category : Functions of complex variables Languages : en Pages : 506
Book Description
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
Author: David C. Ullrich Publisher: American Mathematical Soc. ISBN: 0821844792 Category : Functions of complex variables Languages : en Pages : 506
Book Description
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
Author: Verity Carr Publisher: Newnes ISBN: 0080938442 Category : Business & Economics Languages : en Pages : 128
Book Description
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 flexible learning 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.
Author: David C. Ullrich Publisher: American Mathematical Soc. ISBN: 9780821872543 Category : Mathematics Languages : en Pages : 508
Book Description
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.
Author: Wolfgang Ebeling Publisher: American Mathematical Soc. ISBN: 0821833197 Category : Functions of several complex variables Languages : en Pages : 334
Book Description
The book provides an introduction to the theory of functions of several complex variables and their singularities, with special emphasis on topological aspects. The topics include Riemann surfaces, holomorphic functions of several variables, classification and deformation of singularities, fundamentals of differential topology, and the topology of singularities. The aim of the book is to guide the reader from the fundamentals to more advanced topics of recent research. All the necessary prerequisites are specified and carefully explained. The general theory is illustrated by various examples and applications.
Author: Alan Siegel Publisher: Twelve ISBN: 145550968X Category : Business & Economics Languages : en Pages : 256
Book Description
For decades, Alan Siegel and Irene Etzkorn have championed simplicity as a competitive advantage and a consumer right. Consulting with businesses and organizations around the world to streamline products, services, processes and communications, they have achieved dramatic results. In SIMPLE, the culmination of their work together, Siegel and Etzkorn show us how having empathy, striving for clarity, and distilling your message can reduce the distance between company and customer, hospital and patient, government and citizen-and increase your bottom line. Examining the best and worst practices of an array of organizations big and small-including the IRS, Google, Philips, Trader Joe's, Chubb Insurance, and ING Direct, and many more-Siegel and Etzkorn recast simplicity as a mindset, a design aesthetic, and a writing technique. In these illuminating pages you will discover, among other things: Why the Flip camera became roadkill in the wake of the iPhone What SIMPLE idea allowed the Cleveland Clinic to improve care and increase revenue How OXO designed a measuring cup that sold a million units in its first 18 months on the market Where Target got the idea for their "ClearRX" prescription system How New York City simplified its unwieldy bureaucracy with three simple numbers By exposing the overly complex things we encounter every day, SIMPLE reveals the reasons we allow confusion to persist, inspires us to seek clarity, and explores how social media is empowering consumers to demand simplicity. The next big idea in business is SIMPLE.
Author: Harry Dym Publisher: American Mathematical Society ISBN: 1470472066 Category : Mathematics Languages : en Pages : 512
Book Description
This book is based largely on courses that the author taught at the Feinberg Graduate School of the Weizmann Institute. It conveys in a user-friendly way the basic and advanced techniques of linear algebra from the point of view of a working analyst. The techniques are illustrated by a wide sample of applications and examples that are chosen to highlight the tools of the trade. In short, this is material that the author has found to be useful in his own research and wishes that he had been exposed to as a graduate student. Roughly the first quarter of the book reviews the contents of a basic course in linear algebra, plus a little. The remaining chapters treat singular value decompositions, convexity, special classes of matrices, projections, assorted algorithms, and a number of applications. The applications are drawn from vector calculus, numerical analysis, control theory, complex analysis, convex optimization, and functional analysis. In particular, fixed point theorems, extremal problems, best approximations, matrix equations, zero location and eigenvalue location problems, matrices with nonnegative entries, and reproducing kernels are discussed. This new edition differs significantly from the second edition in both content and style. It includes a number of topics that did not appear in the earlier edition and excludes some that did. Moreover, most of the material that has been adapted from the earlier edition has been extensively rewritten and reorganized.
Author: Robert Everist Greene Publisher: American Mathematical Soc. ISBN: 9780821839621 Category : Mathematics Languages : en Pages : 536
Book Description
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.
Author: Silvanus P. Thompson Publisher: St. Martin's Press ISBN: 1466866357 Category : Study Aids Languages : en Pages : 336
Book Description
Calculus Made Easy by Silvanus P. Thompson and Martin Gardner has long been the most popular calculus primer, and this major revision of the classic math text makes the subject at hand still more comprehensible to readers of all levels. With a new introduction, three new chapters, modernized language and methods throughout, and an appendix of challenging and enjoyable practice problems, Calculus Made Easy has been thoroughly updated for the modern reader.
Author: Jeffrey Kluger Publisher: Hyperion ISBN: 9781401309930 Category : Business & Economics Languages : en Pages : 0
Book Description
"Sure to be a deserved hit among the ever-growing Freakonomics crowd." --Booklist "Kluger makes the modern world comprehensible." --Publishers Weekly "A fascinating journey." --Library Journal Sometimes a complex problem has an easy solution. And sometimes there's more to a simple thing than first appears. In Simplexity, Time senior writer Jeffrey Kluger shows how a drinking straw can save thousands of lives, how a million cars can be on the streets but just a few hundred of them can lead to gridlock, how investors behave like atoms; how arithmetic governs abstract art and physics drives jazz, and why swatting a TV indeed makes it work better. Kluger adeptly translates newly evolving science into a delightful theory of everything that will have you rethinking the rules of business, family, art--your world.
Author: Elliott H. Lieb Publisher: American Mathematical Soc. ISBN: 0821827839 Category : Analysis Languages : en Pages : 378
Book Description
This course in real analysis begins with the usual measure theory, then brings the reader quickly to a level where a wider than usual range of topics can be appreciated. Topics covered include Lp- spaces, rearrangement inequalities, sharp integral inequalities, distribution theory, Fourier analysis, potential theory, and Sobolev spaces. To illustrate these topics, there is a chapter on the calculus of variations, with examples from mathematical physics, as well as a chapter on eigenvalue problems (new to this edition). For graduate students of mathematics, and for students of the natural sciences and engineering who want to learn tools of real analysis. Assumes a previous course in calculus. Lieb is affiliated with Princeton University. Loss is affiliated with Georgia Institute of Technology. c. Book News Inc.
Author: David C. Ullrich
Author: David C. Ullrich
Author: Verity Carr
Author: David C. Ullrich
Author: Wolfgang Ebeling
Author: Alan Siegel
Author: Harry Dym
Author: Robert Everist Greene
Author: Silvanus P. Thompson
Author: Jeffrey Kluger
Author: Elliott H. Lieb