The Geometry Of The Complex Domain Classic Reprint
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The Geometry Of The Complex Domain
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Author : Julian Lowell Coolidge
language : en
Publisher:
Release Date : 1924
The Geometry Of The Complex Domain written by Julian Lowell Coolidge and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1924 with Collineation categories.
The Geometry Of The Complex Domain Classic Reprint
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Author : Julian Lowell Coolidge
language : en
Publisher: Forgotten Books
Release Date : 2017-07-24
The Geometry Of The Complex Domain Classic Reprint written by Julian Lowell Coolidge and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-24 with categories.
Excerpt from The Geometry of the Complex Domain As an example of (a) we may ask how to find a geometrical representation of the complex points of a line, a circle, or a plane. Question (b) leads to mathematical considerations of a very different order. We usually assume that whatever is true in the real domain is true in the complex one also the properties of the complex portion of a curve are inferred from those of its real trace. If we are asked for our grounds for this erroneous belief, we are inclined to reply Continuity' or 'analytic continuation' or what not. But these vague generalities do not by any means exhaust the question. There are more things in Heaven and Earth than are dreamt of in our philosophy of reals. What, for instance, can be said about the totality of points in the plane such that the sum of the squares of the absolute values of their distances from two mutually perpendicular lines is equal to unity? This is a very numerous family of points indeed, depending on no less than three real parameters, so that it is not contained completely in any one curve, nor is any one curve contained completely therein; it is an absolutely different variety from any curve or system of curves in the plane. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Geometry Of Complex Numbers
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Author : Hans Schwerdtfeger
language : en
Publisher: Courier Corporation
Release Date : 2012-05-23
Geometry Of Complex Numbers written by Hans Schwerdtfeger and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-23 with Mathematics categories.
Illuminating, widely praised book on analytic geometry of circles, the Moebius transformation, and 2-dimensional non-Euclidean geometries.
The Geometry Of The Complex Domain
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Author : Julian Lowell Coolidge
language : en
Publisher:
Release Date : 1924
The Geometry Of The Complex Domain written by Julian Lowell Coolidge and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1924 with Collineation categories.
Complex Manifolds And Deformation Of Complex Structures
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Author : K. Kodaira
language : en
Publisher: Springer Science & Business Media
Release Date : 1985-11-22
Complex Manifolds And Deformation Of Complex Structures written by K. Kodaira and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-11-22 with Mathematics categories.
Course In Analysis A Vol Iii Measure And Integration Theory Complex Valued Functions Of A Complex Variable
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Author : Niels Jacob
language : en
Publisher: World Scientific Publishing Company
Release Date : 2017-06-29
Course In Analysis A Vol Iii Measure And Integration Theory Complex Valued Functions Of A Complex Variable written by Niels Jacob and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-29 with Mathematics categories.
'It is a great book for a first year (US) graduate student. One of the nice features of the book is that the book contains full solutions for all of the problems which make it useful as reference for self-study or qualifying exam prep.' (See Full Review)MAA ReviewsIn this third volume of 'A Course in Analysis', two topics indispensible for every mathematician are treated: Measure and Integration Theory; and Complex Function Theory.In the first part measurable spaces and measure spaces are introduced and Caratheodory's extension theorem is proved. This is followed by the construction of the integral with respect to a measure, in particular with respect to the Lebesgue measure in the Euclidean space. The Radon-Nikodym theorem and the transformation theorem are discussed and much care is taken to handle convergence theorems with applications, as well as Lp-spaces.Integration on product spaces and Fubini's theorem is a further topic as is the discussion of the relation between the Lebesgue integral and the Riemann integral. In addition to these standard topics we deal with the Hausdorff measure, convolutions of functions and measures including the Friedrichs mollifier, absolutely continuous functions and functions of bounded variation. The fundamental theorem of calculus is revisited, and we also look at Sard's theorem or the Riesz-Kolmogorov theorem on pre-compact sets in Lp-spaces.The text can serve as a companion to lectures, but it can also be used for self-studying. This volume includes more than 275 problems solved completely in detail which should help the student further.
Hodge Theory Complex Geometry And Representation Theory
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Author : Mark Green
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-11-05
Hodge Theory Complex Geometry And Representation Theory written by Mark Green and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-05 with Mathematics categories.
This monograph presents topics in Hodge theory and representation theory, two of the most active and important areas in contemporary mathematics. The underlying theme is the use of complex geometry to understand the two subjects and their relationships to one another--an approach that is complementary to what is in the literature. Finite-dimensional representation theory and complex geometry enter via the concept of Hodge representations and Hodge domains. Infinite-dimensional representation theory, specifically the discrete series and their limits, enters through the realization of these representations through complex geometry as pioneered by Schmid, and in the subsequent description of automorphic cohomology. For the latter topic, of particular importance is the recent work of Carayol that potentially introduces a new perspective in arithmetic automorphic representation theory. The present work gives a treatment of Carayol's work, and some extensions of it, set in a general complex geometric framework. Additional subjects include a description of the relationship between limiting mixed Hodge structures and the boundary orbit structure of Hodge domains, a general treatment of the correspondence spaces that are used to construct Penrose transforms and selected other topics from the recent literature. A co-publication of the AMS and CBMS.
Complex Functions
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Author : Gareth A. Jones
language : en
Publisher: Cambridge University Press
Release Date : 1987-03-19
Complex Functions written by Gareth A. Jones and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-03-19 with Mathematics categories.
An elementary account of many aspects of classical complex function theory, including Mobius transformations, elliptic functions, Riemann surfaces, Fuchsian groups and modular functions. The book is based on lectures given to advanced undergraduate students and is well suited as a textbook for a second course in complex function theory.
Lectures On Gaussian Integral Operators And Classical Groups
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Author : Yu. A. Neretin
language : en
Publisher: European Mathematical Society
Release Date : 2011
Lectures On Gaussian Integral Operators And Classical Groups written by Yu. A. Neretin and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
This book is an elementary self-contained introduction to some constructions of representation theory and related topics of differential geometry and analysis. Topics covered include the theory of various Fourier-like integral operators such as Segal-Bargmann transforms, Gaussian integral operators in $L^2$ and in the Fock space, integral operators with theta-kernels, the geometry of real and $p$-adic classical groups and symmetric spaces. The heart of the book is the Weil representation of the symplectic group (real and complex realizations, relations with theta-functions and modular forms, $p$-adic and adelic constructions) and representations in Hilbert spaces of holomorphic functions of several complex variables. This book is addressed to graduate students and researchers in representation theory, differential geometry, and operator theory. Prerequisites are standard university courses in linear algebra, functional analysis, and complex analysis.
Symmetries In Complex Analysis
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Author : Bruce Gilligan
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Symmetries In Complex Analysis written by Bruce Gilligan and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
"The theme of this volume concerns interactions between group actions and problems in complex analysis." "The first four articles deal with such topics as representation kernels in representation theory, complex automorphisms and holomorphic equivalence of domains, and geometric description of exceptional symmetric domains. The last article is devoted to Seiberg-Witten equations and Taubes correspondence on symplectic 4-manifolds."--BOOK JACKET.