Frontiers In Differential Geometry, Partial Differential Equations And Mathematical Physics: In Memory Of Gu Chaohao

Frontiers In Differential Geometry, Partial Differential Equations And Mathematical Physics: In Memory Of Gu Chaohao
Author: Mo-lin Ge
Publisher: World Scientific
Total Pages: 371
Release: 2014-03-18
Genre: Mathematics
ISBN: 981457810X

This book is a collection of papers in memory of Gu Chaohao on the subjects of Differential Geometry, Partial Differential Equations and Mathematical Physics that Gu Chaohao made great contributions to with all his intelligence during his lifetime.All contributors to this book are close friends, colleagues and students of Gu Chaohao. They are all excellent experts among whom there are 9 members of the Chinese Academy of Sciences. Therefore this book will provide some important information on the frontiers of the related subjects.

Geometric Complex Analysis

Geometric Complex Analysis
Author: Jisoo Byun
Publisher: Springer
Total Pages: 359
Release: 2018-09-08
Genre: Mathematics
ISBN: 9811316724

The KSCV Symposium, the Korean Conference on Several Complex Variables, started in 1997 in an effort to promote the study of complex analysis and geometry. Since then, the conference met semi-regularly for about 10 years and then settled on being held biannually. The sixth and tenth conferences were held in 2002 and 2014 as satellite conferences to the Beijing International Congress of Mathematicians (ICM) and the Seoul ICM, respectively. The purpose of the KSCV Symposium is to organize the research talks of many leading scholars in the world, to provide an opportunity for communication, and to promote new researchers in this field.

Frontiers In Mathematical Analysis And Numerical Methods: In Memory Of Jacques-louis Lions

Frontiers In Mathematical Analysis And Numerical Methods: In Memory Of Jacques-louis Lions
Author: Tatsien Li
Publisher: World Scientific
Total Pages: 306
Release: 2004-07-26
Genre: Mathematics
ISBN: 9814482145

This invaluable volume is a collection of articles in memory of Jacques-Louis Lions, a leading mathematician and the founder of the Contemporary French Applied Mathematics School. The contributions have been written by his friends, colleagues and students, including C Bardos, A Bensoussan, S S Chern, P G Ciarlet, R Glowinski, Gu Chaohao, B Malgrange, G Marchuk, O Pironneau, W Strauss, R Temam, etc.The book concerns many important results in analysis, geometry, numerical methods, fluid mechanics, control theory, etc.

A Course in Modern Mathematical Physics

A Course in Modern Mathematical Physics
Author: Peter Szekeres
Publisher: Cambridge University Press
Total Pages: 620
Release: 2004-12-16
Genre: Mathematics
ISBN: 9780521829601

This textbook, first published in 2004, provides an introduction to the major mathematical structures used in physics today.

Lectures on Chern-Weil Theory and Witten Deformations

Lectures on Chern-Weil Theory and Witten Deformations
Author: Weiping Zhang
Publisher: World Scientific
Total Pages: 131
Release: 2001
Genre: Mathematics
ISBN: 9812386580

This invaluable book is based on the notes of a graduate course on differential geometry which the author gave at the Nankai Institute of Mathematics. It consists of two parts: the first part contains an introduction to the geometric theory of characteristic classes due to ShiingOCoshen Chern and Andr(r) Weil, as well as a proof of the GaussOCoBonnetOCoChern theorem based on the MathaiOCoQuillen construction of Thom forms; the second part presents analytic proofs of the Poincar(r)OCoHopf index formula, as well as the Morse inequalities based on deformations introduced by Edward Witten. Contents: ChernOCoWeil Theory for Characteristic Classes; Bott and DuistermaatOCoHeckman Formulas; GaussOCoBonnetOCoChern Theorem; Poincar(r)OCoHopf Index Formula: An Analytic Proof; Morse Inequalities: An Analytic Proof; ThomOCoSmale and Witten Complexes; Atiyah Theorem on Kervaire Semi-characteristic. Readership: Graduate students and researchers in differential geometry, topology and mathematical physics."

Differential Geometry

Differential Geometry
Author: Heinrich W. Guggenheimer
Publisher: Courier Corporation
Total Pages: 404
Release: 2012-04-27
Genre: Mathematics
ISBN: 0486157202

This text contains an elementary introduction to continuous groups and differential invariants; an extensive treatment of groups of motions in euclidean, affine, and riemannian geometry; more. Includes exercises and 62 figures.

To Live as Long as Heaven and Earth

To Live as Long as Heaven and Earth
Author: Robert Ford Campany
Publisher: Univ of California Press
Total Pages: 1296
Release: 2002-04-08
Genre: Biography & Autobiography
ISBN: 9780520230347

"This book marks a new milestone in the study of Chinese religious history. Only a scholar as intelligent and dedicated as Campany would dare tackle and so eloquently translate one of the most important and difficult works of early Chinese religious history."—Paul Katz, author of Images of the Immortal: The Cult of Lu Dongbin at the Palace of Eternal Joy "This is a pathbreaking work of lasting significance to the field of Chinese religious history. The scholarship is solid and current, drawing upon the best research from America, Europe, China, and Japan. The translation is accurate, clear, and elegant, based upon an innovative analysis of surviving sources."—Terry Kleeman, author of Great Perfection: Religion and Ethnicity in a Chinese Millennial Kingdom "A competent translation of Ge Hong's hagiographies, with close attention paid to sources and editions, would already have constituted a major contribution to the field of Taoist studies. But Campany provides as well a survey of religious practices in Ge Hong's writings and a reading of the hagiographies which enables us to see the social practices that lie behind them. Together, these two works-in-one constitute the best available portrait of religion and society in early fourth-century China."—John Lagerwey, author of Taoist Ritual in Chinese Society and History "Campany's annotated translation of Ge Hong's (283-343) classic, the first in English, admirably captures the book's rich evocation of the religious culture of Southern China in the fourth century. Ge Hong here offers a series of case studies of what he regarded as the historical and exemplary evidence for the existence of immortals. This translation of Traditions of Divine Transcendents conveys a lively and multifaceted vision of the Taoist conception of physical immortality. The book's emphasis on practices related to the cult of the immortals and the hope for transcendence squarely places its subject in the religious life of traditional Chinese society."—Franciscus Verellen, co-editor of The Taoist Canon: A Historical Guide

Heat Kernels and Dirac Operators

Heat Kernels and Dirac Operators
Author: Nicole Berline
Publisher: Springer Science & Business Media
Total Pages: 384
Release: 2003-12-08
Genre: Mathematics
ISBN: 9783540200628

In the first edition of this book, simple proofs of the Atiyah-Singer Index Theorem for Dirac operators on compact Riemannian manifolds and its generalizations (due to the authors and J.-M. Bismut) were presented, using an explicit geometric construction of the heat kernel of a generalized Dirac operator; the new edition makes this popular book available to students and researchers in an attractive paperback.

Stochastic Chemical Reaction Systems in Biology

Stochastic Chemical Reaction Systems in Biology
Author: Hong Qian
Publisher: Springer Nature
Total Pages: 364
Release: 2021-10-18
Genre: Mathematics
ISBN: 3030862526

This book provides an introduction to the analysis of stochastic dynamic models in biology and medicine. The main aim is to offer a coherent set of probabilistic techniques and mathematical tools which can be used for the simulation and analysis of various biological phenomena. These tools are illustrated on a number of examples. For each example, the biological background is described, and mathematical models are developed following a unified set of principles. These models are then analyzed and, finally, the biological implications of the mathematical results are interpreted. The biological topics covered include gene expression, biochemistry, cellular regulation, and cancer biology. The book will be accessible to graduate students who have a strong background in differential equations, the theory of nonlinear dynamical systems, Markovian stochastic processes, and both discrete and continuous state spaces, and who are familiar with the basic concepts of probability theory.