Roger Godement's Books

Analysis III

Analytic and Differential Functions, Manifolds and Riemann Surfaces

By: Roger Godement

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Analysis III

Analytic and Differential Functions, Manifolds and Riemann Surfaces

By: Roger Godement

Volume III sets out classical Cauchy theory. It is much more geared towards its innumerable applications than towards a more or less complete theory of analytic functions. Cauchy-type curvilinear integrals are then shown to generalize to any number of real variables (differential forms, Stokes-type formulas). The fundamentals of the theory of manifolds are then presented, mainly to provide the reader with a "canonical'' language and with some important theorems (change of variables in integration, differential equations). A final chapter shows how these theorems can be used to construct the compact Riemann surface of an algebraic function, a subject that is rarely addressed in the general literature though it only requires elementary techniques. Besides the Lebesgue integral, Volume IV will set out a piece of specialized mathematics towards which the entire content of the previous volumes will converge: Jacobi, Riemann, Dedekind series and infinite products, elliptic functions, classical theory of modular functions and its modern version using the structure of the Lie algebra of SL(2,R).

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Page Count

325

Publisher

Springer

Published Date

ISBN 10

3319160532

ISBN 13

9783319160535

Analysis I

Convergence, Elementary functions

By: Roger Godement

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Analysis I

Convergence, Elementary functions

By: Roger Godement

Functions in R and C, including the theory of Fourier series, Fourier integrals and part of that of holomorphic functions, form the focal topic of these two volumes. Based on a course given by the author to large audiences at Paris VII University for many years, the exposition proceeds somewhat nonlinearly, blending rigorous mathematics skilfully with didactical and historical considerations. It sets out to illustrate the variety of possible approaches to the main results, in order to initiate the reader to methods, the underlying reasoning, and fundamental ideas. It is suitable for both teaching and self-study. In his familiar, personal style, the author emphasizes ideas over calculations and, avoiding the condensed style frequently found in textbooks, explains these ideas without parsimony of words. The French edition in four volumes, published from 1998, has met with resounding success: the first two volumes are now available in English.

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453

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Springer Science & Business Media

Published Date

ISBN 10

364218491X

ISBN 13

9783642184918

Analysis II

Differential and Integral Calculus, Fourier Series, Holomorphic Functions

By: Roger Godement

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Analysis II

Differential and Integral Calculus, Fourier Series, Holomorphic Functions

By: Roger Godement

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451

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Springer Science & Business Media

Published Date

ISBN 10

3540299262

ISBN 13

9783540299264

Analysis IV

Integration and Spectral Theory, Harmonic Analysis, the Garden of Modular Delights

By: Roger Godement

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Analysis IV

Integration and Spectral Theory, Harmonic Analysis, the Garden of Modular Delights

By: Roger Godement

Analysis Volume IV introduces the reader to functional analysis (integration, Hilbert spaces, harmonic analysis in group theory) and to the methods of the theory of modular functions (theta and L series, elliptic functions, use of the Lie algebra of SL2). As in volumes I to III, the inimitable style of the author is recognizable here too, not only because of his refusal to write in the compact style used nowadays in many textbooks. The first part (Integration), a wise combination of mathematics said to be `modern' and `classical', is universally useful whereas the second part leads the reader towards a very active and specialized field of research, with possibly broad generalizations.

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535

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Springer

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ISBN 10

3319169076

ISBN 13

9783319169071

Analysis III

Analytic and Differential Functions, Manifolds and Riemann Surfaces

By: Roger Godement

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Analysis III

Analytic and Differential Functions, Manifolds and Riemann Surfaces

By: Roger Godement

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325

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Springer

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ISBN 10

3319160532

ISBN 13

9783319160535

Introduction to the Theory of Lie Groups

By: Roger Godement

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Introduction to the Theory of Lie Groups

By: Roger Godement

This textbook covers the general theory of Lie groups. By first considering the case of linear groups (following von Neumann's method) before proceeding to the general case, the reader is naturally introduced to Lie theory. Written by a master of the subject and influential member of the Bourbaki group, the French edition of this textbook has been used by several generations of students. This translation preserves the distinctive style and lively exposition of the original. Requiring only basics of topology and algebra, this book offers an engaging introduction to Lie groups for graduate students and a valuable resource for researchers.

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300

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Springer

Published Date

ISBN 10

331954375X

ISBN 13

9783319543758

Analysis I

Convergence, Elementary functions

By: Roger Godement

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Analysis I

Convergence, Elementary functions

By: Roger Godement

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453

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Springer Science & Business Media

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ISBN 10

364218491X

ISBN 13

9783642184918

Analysis IV

Integration and Spectral Theory, Harmonic Analysis, the Garden of Modular Delights

By: Roger Godement

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Analysis IV

Integration and Spectral Theory, Harmonic Analysis, the Garden of Modular Delights

By: Roger Godement

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535

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Springer

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ISBN 10

3319169076

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9783319169071

Introduction to the Theory of Lie Groups

By: Roger Godement

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Introduction to the Theory of Lie Groups

By: Roger Godement

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300

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Springer

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ISBN 10

331954375X

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9783319543758

The Practical Role of The EU’s Values in Diplomacy with China

Complacency, Self-Censorship and Misunderstanding

By: Max Roger Taylor

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The Practical Role of The EU’s Values in Diplomacy with China

Complacency, Self-Censorship and Misunderstanding

By: Max Roger Taylor

Delivering a ground-breaking analysis of the EU’s diplomatic meetings (or dialogues) with China, this book reveals how the EU’s values rarely feature in exchanges, due to ingrained cultures of complacency and self-censorship amongst EU officials. Based on extensive interviews, and focusing on individual perceptions and practices, the book also highlights how intercultural misunderstanding and unreflective beliefs contribute to this troubling status quo with serious implications. Furthermore, these dynamics run contrary to the Lisbon Treaty (2009) – where the EU states that its values inform its external relations – threatening the rules-based order that upholds the universal values and international norms the EU shares. At a time of flux in EU-China relations and geopolitical instability, this book’s timely insights will be of great interest and value to scholars and practitioners alike. This book will be of key interest to scholars and students of European (Union) foreign policy and diplomacy, EU-China relations, Chinese foreign policy, human rights diplomacy, sustainable development, trade policy and more broadly in European and Asian Studies, and International Relations.

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Page Count

184

Publisher

Taylor & Francis

Published Date

ISBN 10

1000996247

ISBN 13

9781000996241

Aspects of Brownian Motion

By: Roger Mansuy,Marc Yor

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Aspects of Brownian Motion

By: Roger Mansuy,Marc Yor

Stochastic calculus and excursion theory are very efficient tools for obtaining either exact or asymptotic results about Brownian motion and related processes. This book focuses on special classes of Brownian functionals, including Gaussian subspaces of the Gaussian space of Brownian motion; Brownian quadratic funtionals; Brownian local times; Exponential functionals of Brownian motion with drift; Time spent by Brownian motion below a multiple of its one-sided supremum.

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205

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Springer Science & Business Media

Published Date

ISBN 10

3540499660

ISBN 13

9783540499664

Neocortical Grafting to Newborn and Adult Rats: Developmental, Anatomical and Functional Aspects

By: Afsaneh Gaillard,Frederic Gaillard,Michel Roger

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Neocortical Grafting to Newborn and Adult Rats: Developmental, Anatomical and Functional Aspects

By: Afsaneh Gaillard,Frederic Gaillard,Michel Roger

The first experiments with neural transplantation into the brain (for a review, see Bjorklund and Stenevi 1985) were reported at the end of the last century by Thompson (1890), who took cortical tissue from adult cats and implanted the tissue pieces into the neocortex of adult dogs. The neurons did not survive, but the transplanted mass did not disintegrate entirely. Successful graft ing into the brain was reported later by Ranson (1909), who implanted spinal ganglia into the cerebral cortex of developing rats, and by Dunn (1917), who reported survival of implanted neonatal cortex into the cortex of newborn recipients. Another important step was made by Le Gros Clark (1940) who reported that, in the rabbit, embryonic (E) cortical tissue could be successfully grafted into the cortex of young recipients. Ex periments by Wallace and Das (1982), and Bjorklund and Stenevi (1984), showing behavioral effects of grafts, subsequently stimu lated a growing interest in neurotransplantation research. Intrac erebral grafting is now considered a powerful tool for addressing fundamental questions about development, regenerative, or re storative phenomena in the central nervous system (CNS) and is a potential therapy for neurodegenerative diseases.

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156

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642721796

ISBN 13

9783642721793

Spinors and Space-Time: Volume 2, Spinor and Twistor Methods in Space-Time Geometry

By: Roger Penrose,Wolfgang Rindler

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Spinors and Space-Time: Volume 2, Spinor and Twistor Methods in Space-Time Geometry

By: Roger Penrose,Wolfgang Rindler

In the two volumes that comprise this work Roger Penrose and Wolfgang Rindler introduce the calculus of 2-spinors and the theory of twistors, and discuss in detail how these powerful and elegant methods may be used to elucidate the structure and properties of space-time. In volume 1, Two-spinor calculus and relativistic fields, the calculus of 2-spinors is introduced and developed. Volume 2, Spinor and twistor methods in space-time geometry, introduces the theory of twistors, and studies in detail how the theory of twistors and 2-spinors can be applied to the study of space-time. This work will be of great value to all those studying relativity, differential geometry, particle physics and quantum field theory from beginning graduate students to experts in these fields.

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516

Publisher

Cambridge University Press

Published Date

ISBN 10

0521347866

ISBN 13

9780521347860

Complex Variables

An Introduction

By: Carlos A. Berenstein,Roger Gay

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Complex Variables

An Introduction

By: Carlos A. Berenstein,Roger Gay

Textbooks, even excellent ones, are a reflection of their times. Form and content of books depend on what the students know already, what they are expected to learn, how the subject matter is regarded in relation to other divisions of mathematics, and even how fashionable the subject matter is. It is thus not surprising that we no longer use such masterpieces as Hurwitz and Courant's Funktionentheorie or Jordan's Cours d'Analyse in our courses. The last two decades have seen a significant change in the techniques used in the theory of functions of one complex variable. The important role played by the inhomogeneous Cauchy-Riemann equation in the current research has led to the reunification, at least in their spirit, of complex analysis in one and in several variables. We say reunification since we think that Weierstrass, Poincare, and others (in contrast to many of our students) did not consider them to be entirely separate subjects. Indeed, not only complex analysis in several variables, but also number theory, harmonic analysis, and other branches of mathematics, both pure and applied, have required a reconsidera tion of analytic continuation, ordinary differential equations in the complex domain, asymptotic analysis, iteration of holomorphic functions, and many other subjects from the classic theory of functions of one complex variable. This ongoing reconsideration led us to think that a textbook incorporating some of these new perspectives and techniques had to be written.

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Page Count

664

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461230241

ISBN 13

9781461230243

Book's by Roger Godement

Analysis III

Analysis III

Analysis I

Analysis I

Analysis II

Analysis II

Analysis IV

Analysis IV

Analysis III

Analysis III

Introduction to the Theory of Lie Groups

Introduction to the Theory of Lie Groups

Analysis I

Analysis I

Analysis IV

Analysis IV

Introduction to the Theory of Lie Groups

Introduction to the Theory of Lie Groups

The Practical Role of The EU’s Values in Diplomacy with China

The Practical Role of The EU’s Values in Diplomacy with China

Aspects of Brownian Motion

Aspects of Brownian Motion

Neocortical Grafting to Newborn and Adult Rats: Developmental, Anatomical and Functional Aspects

Neocortical Grafting to Newborn and Adult Rats: Developmental, Anatomical and Functional Aspects

Spinors and Space-Time: Volume 2, Spinor and Twistor Methods in Space-Time Geometry

Spinors and Space-Time: Volume 2, Spinor and Twistor Methods in Space-Time Geometry

Complex Variables

Complex Variables

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