Schwarz's Lemma From A Differential Geometric Viewpoint

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Publisher : World Scientific
ISBN 13 : 9814462799
Total Pages : 100 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Schwarz's Lemma From A Differential Geometric Viewpoint by : Kang-tae Kim

Download or read book Schwarz's Lemma From A Differential Geometric Viewpoint written by Kang-tae Kim and published by World Scientific. This book was released on 2010-12-09 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject matter in this volume is Schwarz's Lemma which has become a crucial theme in many branches of research in mathematics for more than a hundred years to date. This volume of lecture notes focuses on its differential geometric developments by several excellent authors including, but not limited to, L Ahlfors, S S Chern, Y C Lu, S T Yau and H L Royden.This volume can be approached by a reader who has basic knowledge on complex analysis and Riemannian geometry. It contains major historic differential geometric generalizations on Schwarz's Lemma and provides the necessary information while making the whole volume as concise as ever.

Schwarz's Lemma from a Differential Geometric Viewpoint

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Publisher : World Scientific
ISBN 13 : 9814324787
Total Pages : 100 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Schwarz's Lemma from a Differential Geometric Viewpoint by : Kang-Tae Kim

Download or read book Schwarz's Lemma from a Differential Geometric Viewpoint written by Kang-Tae Kim and published by World Scientific. This book was released on 2011 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject matter in this volume is Schwarz's lemma which has become a crucial theme in many branches of research in mathematics for more than a hundred years to date. This volume of lecture notes focuses on its differential geometric developments by several excellent authors including, but not limited to, L Ahlfors, S S Chern, Y C Lu, S T Yau and H L Royden. This volume can be approached by a reader who has basic knowledge on complex analysis and Riemannian geometry. It contains major historic differential geometric generalizations on Schwarz's lemma and provides the necessary information while making the whole volume as concise as ever.

Schwartz's Lemma from a Differential Geometric Viewpoint

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (77 download)

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Book Synopsis Schwartz's Lemma from a Differential Geometric Viewpoint by : Kang-Tae Kim

Download or read book Schwartz's Lemma from a Differential Geometric Viewpoint written by Kang-Tae Kim and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Harmonic and Complex Analysis and its Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 331901806X
Total Pages : 364 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Harmonic and Complex Analysis and its Applications by : Alexander Vasil'ev

Download or read book Harmonic and Complex Analysis and its Applications written by Alexander Vasil'ev and published by Springer Science & Business Media. This book was released on 2013-11-09 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume highlights the main results of the research performed within the network “Harmonic and Complex Analysis and its Applications” (HCAA), which was a five-year (2007–2012) European Science Foundation Programme intended to explore and to strengthen the bridge between two scientific communities: analysts with broad backgrounds in complex and harmonic analysis and mathematical physics, and specialists in physics and applied sciences. It coordinated actions for advancing harmonic and complex analysis and for expanding its application to challenging scientific problems. Particular topics considered by this Programme included conformal and quasiconformal mappings, potential theory, Banach spaces of analytic functions and their applications to the problems of fluid mechanics, conformal field theory, Hamiltonian and Lagrangian mechanics, and signal processing. This book is a collection of surveys written as a result of activities of the Programme and will be interesting and useful for professionals and novices in analysis and mathematical physics, as well as for graduate students. Browsing the volume, the reader will undoubtedly notice that, as the scope of the Programme is rather broad, there are many interrelations between the various contributions, which can be regarded as different facets of a common theme.

Ultrafast Optics And Spectroscopy In Physical Chemistry

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Publisher : World Scientific
ISBN 13 : 9813223693
Total Pages : 291 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Ultrafast Optics And Spectroscopy In Physical Chemistry by : Atanu Bhattacharya

Download or read book Ultrafast Optics And Spectroscopy In Physical Chemistry written by Atanu Bhattacharya and published by World Scientific. This book was released on 2017-12-28 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary goal of this text book is to ensure that any physical science student, even one who has never heard of the subject, should be able to learn what ultrafast spectroscopy is, why optics related to the subject requires special attention, how to use the basic ideas of the subject in laboratory-based ultrafast spectroscopy experiments, how to interpret the experimental observations and so on. This book gives a more than adequate introduction to mathematical representation of an ultrafast pulse, chirp, time-band width product, nonlinear optical effects, dispersion effects, construction of ultrafast laser, ultrafast measurement techniques and different ultrafast processes of chemical interest.

Introduction To Time-dependent Quantum Mechanics With Python

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Publisher : World Scientific
ISBN 13 : 9811277184
Total Pages : 345 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Introduction To Time-dependent Quantum Mechanics With Python by : Atanu Bhattacharya

Download or read book Introduction To Time-dependent Quantum Mechanics With Python written by Atanu Bhattacharya and published by World Scientific. This book was released on 2023-10-18 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational spectroscopy and computational quantum chemical dynamics is a vast field in physical chemistry. Significant part of this field is developed based on the concepts of time-dependent quantum mechanics and its numerical implementations.This book gives an introduction to the Time-Dependent Quantum Chemistry for use with any introductory college/university course in optics, spectroscopy, kinetics, dynamics, or experimental physical chemistry or chemical physics of the kind usually taken by undergraduate and graduate students in physical chemistry. In this book, different concepts of time-dependent quantum mechanics are systematically presented by first giving emphasis on the contrasting viewpoint of classical and quantum mechanical motion of a particle, then by demonstrating the ways to find classical flavour in quantum dynamics, thereafter by formally defining the wavepacket which represents a quantum particle and finally by demonstrating numerical methods to explore the wavepacket dynamics in one dimension. Along with the analytical theory, accompanying Python chapters in this book take readers to a hands-on tour with Python programming by first giving them a quick introduction to the Python programming, then by introducing the position-space grid representation of the wavefunction, thereafter, by making them familiarized with the Fourier transform to represent the discretized wavefunction in momentum space, subsequently by showing the Python-based methodologies to express Hamiltonian operator in matrix form and finally by demonstrating the entire Python program which solves the wavepacket dynamics in one dimension under influence of time-independent Hamiltonian following split-operator approach.Rigorous class-testing of the presented lecture notes at the Indian Institute of Science, GITAM University and at NPTEL platform reveals that physical chemistry students, after thoroughly going through all chapters, not only develop an in-depth understanding of the wavepacket dynamics and its numerical implementations, but also start successfully writing their own Python code for solving any one dimensional wavepacket dynamics problem.

Complex Analysis: The Geometric Viewpoint: Second Edition

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Publisher : American Mathematical Soc.
ISBN 13 : 0883850354
Total Pages : 219 pages
Book Rating : 4.8/5 (838 download)

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Book Synopsis Complex Analysis: The Geometric Viewpoint: Second Edition by : Steven G. Krantz

Download or read book Complex Analysis: The Geometric Viewpoint: Second Edition written by Steven G. Krantz and published by American Mathematical Soc.. This book was released on 2004-12-31 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recipient of the Mathematical Association of America's Beckenbach Book Prize in 1994! In this second edition of a Carus Monograph Classic, Steven Krantz develops material on classical non-Euclidean geometry. He shows how it can be developed in a natural way from the invariant geometry of the complex disc. He also introduces the Bergman kernel and metric and provides profound applications, some of them never having appeared before in print. In general, the new edition represents a considerable polishing and re-thinking of the original successful volume. This is the first and only book to describe the context, the background, the details, and the applications of Ahlfors's celebrated ideas about curvature, the Schwarz lemma, and applications in complex analysis. Beginning from scratch, and requiring only a minimal background in complex variable theory, this book takes the reader up to ideas that are currently active areas of study. Such areas include a) the Caratheodory and Kobayashi metrics, b) the Bergman kernel and metric, and c) boundary continuation of conformal maps. There is also an introduction to the theory of several complex variables. Poincaré's celebrated theorem about the biholomorphic inequivalence of the ball and polydisc is discussed and proved.

Three Plays of Maureen Hunter

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Publisher : OIBooks-Libros
ISBN 13 : 1896239994
Total Pages : 944 pages
Book Rating : 4.8/5 (962 download)

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Book Synopsis Three Plays of Maureen Hunter by : Hunter, Maureen

Download or read book Three Plays of Maureen Hunter written by Hunter, Maureen and published by OIBooks-Libros. This book was released on 2003 with total page 944 pages. Available in PDF, EPUB and Kindle. Book excerpt: Book is clean and tight. No writing in text. Like New

Complex Analysis

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Publisher :
ISBN 13 : 9780883850008
Total Pages : 219 pages
Book Rating : 4.8/5 (5 download)

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Book Synopsis Complex Analysis by : Steven George Krantz

Download or read book Complex Analysis written by Steven George Krantz and published by . This book was released on 2004 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometric Function Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 0817644407
Total Pages : 311 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Geometric Function Theory by : Steven G. Krantz

Download or read book Geometric Function Theory written by Steven G. Krantz and published by Springer Science & Business Media. This book was released on 2007-09-19 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: * 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

Concise Complex Analysis (Revised Edition)

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Publisher : World Scientific Publishing Company
ISBN 13 : 9813106980
Total Pages : 258 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Concise Complex Analysis (Revised Edition) by : Sheng Gong

Download or read book Concise Complex Analysis (Revised Edition) written by Sheng Gong and published by World Scientific Publishing Company. This book was released on 2007-04-26 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise textbook on complex analysis for undergraduate and graduate students, this book is written from the viewpoint of modern mathematics: the Bar {Partial}-equation, differential geometry, Lie groups, all the traditional material on complex analysis is included. Setting it apart from others, the book makes many statements and proofs of classical theorems in complex analysis simpler, shorter and more elegant: for example, the Mittag-Leffer theorem is proved using the Bar {Partial}-equation, and the Picard theorem is proved using the methods of differential geometry.

Concise Complex Analysis

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Publisher : World Scientific
ISBN 13 : 9812706933
Total Pages : 258 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Concise Complex Analysis by : Sheng Gong

Download or read book Concise Complex Analysis written by Sheng Gong and published by World Scientific. This book was released on 2007 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This is a concise textbook of complex analysis for undergraduate and graduate students. Written from the viewpoint of modern mathematics - the d-equation, differential geometry, Lie group, etc. it contains all the traditional material on complex analysis. However, many statement and proofs of classical theorems in complex analysis have been made simpler, shorter and more elegant due to modern mathematical ideas and methods. For example, the Mittag-Leffer theorem is proved by the d-equation, the Picard theorem is proved using the methods of differential geometry, and so on."--BOOK JACKET.

Complex Analysis

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Publisher : Cambridge University Press
ISBN 13 : 9780883850350
Total Pages : 252 pages
Book Rating : 4.8/5 (53 download)

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Book Synopsis Complex Analysis by : Steven G. Krantz

Download or read book Complex Analysis written by Steven G. Krantz and published by Cambridge University Press. This book was released on 2004 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced textbook on central topic of pure mathematics.

The Theory and Practice of Conformal Geometry

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Publisher : Courier Dover Publications
ISBN 13 : 0486810321
Total Pages : 308 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis The Theory and Practice of Conformal Geometry by : Steven G. Krantz

Download or read book The Theory and Practice of Conformal Geometry written by Steven G. Krantz and published by Courier Dover Publications. This book was released on 2016-03-17 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this original text, prolific mathematics author Steven G. Krantz addresses conformal geometry, a subject that has occupied him for four decades and for which he helped to develop some of the modern theory. This book takes readers with a basic grounding in complex variable theory to the forefront of some of the current approaches to the topic. "Along the way," the author notes in his Preface, "the reader will be exposed to some beautiful function theory and also some of the rudiments of geometry and analysis that make this subject so vibrant and lively." More up-to-date and accessible to advanced undergraduates than most of the other books available in this specific field, the treatment discusses the history of this active and popular branch of mathematics as well as recent developments. Topics include the Riemann mapping theorem, invariant metrics, normal families, automorphism groups, the Schwarz lemma, harmonic measure, extremal length, analytic capacity, and invariant geometry. A helpful Bibliography and Index complete the text.

A Sampler of Riemann-Finsler Geometry

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Publisher : Cambridge University Press
ISBN 13 : 9780521831819
Total Pages : 384 pages
Book Rating : 4.8/5 (318 download)

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Book Synopsis A Sampler of Riemann-Finsler Geometry by : David Dai-Wai Bao

Download or read book A Sampler of Riemann-Finsler Geometry written by David Dai-Wai Bao and published by Cambridge University Press. This book was released on 2004-11 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: These expository accounts treat issues related to volume, geodesics, curvature and mathematical biology, with instructive examples.

Hyperbolic Complex Spaces

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Publisher : Springer Science & Business Media
ISBN 13 : 3662035820
Total Pages : 480 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Hyperbolic Complex Spaces by : Shoshichi Kobayashi

Download or read book Hyperbolic Complex Spaces written by Shoshichi Kobayashi and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the three decades since the introduction of the Kobayashi distance, the subject of hyperbolic complex spaces and holomorphic mappings has grown to be a big industry. This book gives a comprehensive and systematic account on the Carathéodory and Kobayashi distances, hyperbolic complex spaces and holomorphic mappings with geometric methods. A very complete list of references should be useful for prospective researchers in this area.

The Schwarz Lemma

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Publisher : Courier Dover Publications
ISBN 13 : 0486810976
Total Pages : 260 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis The Schwarz Lemma by : Sean Dineen

Download or read book The Schwarz Lemma written by Sean Dineen and published by Courier Dover Publications. This book was released on 2016-04-06 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for advanced undergraduates and graduate students, this self-contained overview covers the classical Schwarz lemma, Poincaré distance on the unit disc, hyperbolic manifolds, holomorphic curvature, and the analytic Radon-Nikodym property. 1989 edition.