Search Results for "geometric-function-theory-explorations-in-complex-analysis-cornerstones"

Geometric Function Theory

Geometric Function Theory

Explorations in Complex Analysis

  • Author: Steven G. Krantz
  • Publisher: Springer Science & Business Media
  • ISBN: 0817644407
  • Category: Mathematics
  • Page: 314
  • View: 6326
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* Presented from a geometric analytical viewpoint, this work addresses advanced topics in complex analysis that verge on modern areas of research * Methodically designed with individual chapters containing a rich collection of exercises, examples, and illustrations

Harmonic and Complex Analysis in Several Variables

Harmonic and Complex Analysis in Several Variables

  • Author: Steven G. Krantz
  • Publisher: Springer
  • ISBN: 3319632310
  • Category: Mathematics
  • Page: 424
  • View: 7465
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Authored by a ranking authority in harmonic analysis of several complex variables, this book embodies a state-of-the-art entrée at the intersection of two important fields of research: complex analysis and harmonic analysis. Written with the graduate student in mind, it is assumed that the reader has familiarity with the basics of complex analysis of one and several complex variables as well as with real and functional analysis. The monograph is largely self-contained and develops the harmonic analysis of several complex variables from the first principles. The text includes copious examples, explanations, an exhaustive bibliography for further reading, and figures that illustrate the geometric nature of the subject. Each chapter ends with an exercise set. Additionally, each chapter begins with a prologue, introducing the reader to the subject matter that follows; capsules presented in each section give perspective and a spirited launch to the segment; preludes help put ideas into context. Mathematicians and researchers in several applied disciplines will find the breadth and depth of the treatment of the subject highly useful.

Geometric Analysis of the Bergman Kernel and Metric

Geometric Analysis of the Bergman Kernel and Metric

  • Author: Steven G. Krantz
  • Publisher: Springer Science & Business Media
  • ISBN: 146147924X
  • Category: Mathematics
  • Page: 292
  • View: 3362
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This text provides a masterful and systematic treatment of all the basic analytic and geometric aspects of Bergman's classic theory of the kernel and its invariance properties. These include calculation, invariance properties, boundary asymptotics, and asymptotic expansion of the Bergman kernel and metric. Moreover, it presents a unique compendium of results with applications to function theory, geometry, partial differential equations, and interpretations in the language of functional analysis, with emphasis on the several complex variables context. Several of these topics appear here for the first time in book form. Each chapter includes illustrative examples and a collection of exercises which will be of interest to both graduate students and experienced mathematicians. Graduate students who have taken courses in complex variables and have a basic background in real and functional analysis will find this textbook appealing. Applicable courses for either main or supplementary usage include those in complex variables, several complex variables, complex differential geometry, and partial differential equations. Researchers in complex analysis, harmonic analysis, PDEs, and complex differential geometry will also benefit from the thorough treatment of the many exciting aspects of Bergman's theory.

Complex Variables

Complex Variables

A Physical Approach with Applications

  • Author: Steven G. Krantz
  • Publisher: CRC Press
  • ISBN: 1000007189
  • Category: Mathematics
  • Page: 351
  • View: 7728
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Web Copy The idea of complex numbers dates back at least 300 years—to Gauss and Euler, among others. Today complex analysis is a central part of modern analytical thinking. It is used in engineering, physics, mathematics, astrophysics, and many other fields. It provides powerful tools for doing mathematical analysis, and often yields pleasing and unanticipated answers. This book makes the subject of complex analysis accessible to a broad audience. The complex numbers are a somewhat mysterious number system that seems to come out of the blue. It is important for students to see that this is really a very concrete set of objects that has very concrete and meaningful applications. Features: This new edition is a substantial rewrite, focusing on the accessibility, applied, and visual aspect of complex analysis This book has an exceptionally large number of examples and a large number of figures. The topic is presented as a natural outgrowth of the calculus. It is not a new language, or a new way of thinking. Incisive applications appear throughout the book. Partial differential equations are used as a unifying theme.

Mathematical Reviews

Mathematical Reviews

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematics
  • Page: N.A
  • View: 3870
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American Book Publishing Record

American Book Publishing Record

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: American literature
  • Page: N.A
  • View: 2139
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Octogon Mathematical Magazine

Octogon Mathematical Magazine

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematics
  • Page: N.A
  • View: 958
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The British National Bibliography

The British National Bibliography

  • Author: Arthur James Wells
  • Publisher: N.A
  • ISBN: N.A
  • Category: English literature
  • Page: N.A
  • View: 2949
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Unstoppable Brilliance

Unstoppable Brilliance

Irish Geniuses and Asperger's Syndrome

  • Author: Michael Fitzgerald,Antoinette Walker
  • Publisher: Liberties Press
  • ISBN: 1910742104
  • Category: Biography & Autobiography
  • Page: 336
  • View: 9601
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How much of what exceptional people achieve can be put down to their own efforts and inner drive, and how much to fate? In this groundbreaking study, the authors argue that the extraordinary achievements of key figures in Irish history were indeed unstoppable - a product of their character and unique way of interacting with the world. In a series of fascinating character studies, Antoinette Walker and Michael Fitzgerald argue that many of those who were crucial to the development of Ireland's political, scientific and artistic traditions - the revolutionaries Robert Emmet, Pádraig Pearse and Éamon de Valera; the scientist Robert Boyle, mathematician William Rowan Hamilton and ethnographer Daisy Bates; and the poet W. B. Yeats and writers James Joyce and Samuel Beckett - would, if they were alive today, be diagnosed with Asperger's syndrome. The authors examine the character quirks that lead them to believe that all nine can be seen as 'Asperger geniuses'. They assert that this condition meant that all nine were virtually predestined to become exceptional figures in their chosen field and that, moreover, Asperger's syndrome can be seen as the key to genius in all ages and all cultures.

German Open

German Open

Contemporary Art in Germany/Gegenwartskunst in Deutschland

  • Author: Gerard Hadders,Kunstmuseum Wolfsburg
  • Publisher: Hatje Cantz Pub
  • ISBN: N.A
  • Category: Art
  • Page: 300
  • View: 9946
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In the last two years the German art scene has experienced a tremendous growth unlike anything since the early 1980s -- owing to a revitalized Berlin and an ever-expanding cultural diversity. German Open captures this energy by giving an overview of more than 30 of the best young artists working in Germany today. The artists documented represent the entire spectrum of visual art, from installation to painting to video, and their work can no longer be viewed as a matter of scattered individual gestures, but must be examined in a group context. Among the artists included here are Franz Ackerman, Kai Althoff, Simone Bohm, Coisma von Bonin, Matti Braun, Olafur Eliasson, Stefan Hoderlein, Stefan Kern, Michel Majerus, Tobias Rehberger, Daniel Richter, Heidi Specker, Johannes Wohnseifer, and Joseph Zehrer.