Ricci-Calculus

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Publisher : Springer Science & Business Media
ISBN 13 : 3662129272
Total Pages : 535 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Ricci-Calculus by : Jan Arnoldus Schouten

Download or read book Ricci-Calculus written by Jan Arnoldus Schouten and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an entirely new book. The first edition appeared in 1923 and at that time it was up to date. But in 193 5 and 1938 the author and Prof. D. J. STRUIK published a new book, their Einführung I and li, and this book not only gave the first systematic introduction to the kernel index method but also contained many notions that had come into prominence since 1923. For instance densities, quantities of the second kind, pseudo-quantities, normal Coordinates, the symbolism of exterior forms, the LIE derivative, the theory of variation and deformation and the theory of subprojective connexions were included. Now since 1938 there have been many new developments and so a book on RICCI cal culus and its applications has to cover quite different ground from the book of 1923. Though the purpose remains to make the reader acquainted with RICCI's famous instrument in its modern form, the book must have quite a different methodical structure and quite different applica tions have to be chosen. The first chapter contains algebraical preliminaries but the whole text is modernized and there is a section on hybrid quantities (quantities with indices of the first and of the second kind) and one on the many abridged notations that have been developed by several authors. In the second chapter the most important analytical notions that come before the introduction of a connexion aredealt with in full.

Acta mathematica

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Publisher :
ISBN 13 :
Total Pages : 880 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Acta mathematica by :

Download or read book Acta mathematica written by and published by . This book was released on 1923 with total page 880 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Leçons de géométrie vectorielle

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (12 download)

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Book Synopsis Leçons de géométrie vectorielle by : Georges Bouligand

Download or read book Leçons de géométrie vectorielle written by Georges Bouligand and published by . This book was released on 1936 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Early Days in Complex Dynamics

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Publisher : American Mathematical Soc.
ISBN 13 : 0821844644
Total Pages : 474 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Early Days in Complex Dynamics by : Daniel S. Alexander

Download or read book Early Days in Complex Dynamics written by Daniel S. Alexander and published by American Mathematical Soc.. This book was released on 2012 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of complex dynamics, whose roots lie in 19th-century studies of the iteration of complex function conducted by Koenigs, Schoder, and others, flourished remarkably during the first half of the 20th century, when many of the central ideas and techniques of the subject developed. This book paints a robust picture of the field of complex dynamics between 1906 and 1942 through detailed discussions of the work of Fatou, Julia, Siegel, and several others.

Leçons de géométrie vectorielle

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (63 download)

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Book Synopsis Leçons de géométrie vectorielle by : Georges Bouligand

Download or read book Leçons de géométrie vectorielle written by Georges Bouligand and published by . This book was released on 1936 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Spectral Geometry

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Publisher : Springer
ISBN 13 : 3540409580
Total Pages : 284 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Spectral Geometry by : Pierre H. Berard

Download or read book Spectral Geometry written by Pierre H. Berard and published by Springer. This book was released on 2006-11-14 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A History of Complex Dynamics

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Publisher : Springer Science & Business Media
ISBN 13 : 366309197X
Total Pages : 175 pages
Book Rating : 4.6/5 (63 download)

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Book Synopsis A History of Complex Dynamics by : Daniel S. Alexander

Download or read book A History of Complex Dynamics written by Daniel S. Alexander and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contemporary study of complex dynamics, which has flourished so much in recent years, is based largely upon work by G. Julia (1918) and P. Fatou (1919/20). The goal of this book is to analyze this work from an historical perspective and show in detail, how it grew out of a corpus regarding the iteration of complex analytic functions. This began with investigations by E. Schröder (1870/71) which he made, when he studied Newton's method. In the 1880's, Gabriel Koenigs fashioned this study into a rigorous body of work and, thereby, influenced a lot the subsequent development. But only, when Fatou and Julia applied set theory as well as Paul Montel's theory of normal families, it was possible to develop a global approach to the iteration of rational maps. This book shows, how this intriguing piece of modern mathematics became reality.

Leçons de géométrie vectorielle préliminaires a l'étude de la théorie d'Einstein

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Publisher :
ISBN 13 :
Total Pages : 436 pages
Book Rating : 4.:/5 (258 download)

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Book Synopsis Leçons de géométrie vectorielle préliminaires a l'étude de la théorie d'Einstein by : Georges Bouligand

Download or read book Leçons de géométrie vectorielle préliminaires a l'étude de la théorie d'Einstein written by Georges Bouligand and published by . This book was released on 1949 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Science and Empires

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Publisher : Springer Science & Business Media
ISBN 13 : 9401125945
Total Pages : 419 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Science and Empires by : P. Petitjean

Download or read book Science and Empires written by P. Petitjean and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: SCIENCE AND EMPIRES: FROM THE INTERNATIONAL COLLOQUIUM TO THE BOOK Patrick PETITJEAN, Catherine JAMI and Anne Marie MOULIN The International Colloquium "Science and Empires - Historical Studies about Scientific De velopment and European Expansion" is the product of an International Colloquium, "Sciences and Empires - A Comparative History of Scien tific Exchanges: European Expansion and Scientific Development in Asian, African, American and Oceanian Countries". Organized by the REHSEIS group (Research on Epistemology and History of Exact Sciences and Scientific Institutions) of CNRS (National Center for Scientific Research), the colloquium was held from 3 to 6 April 1990 in the UNESCO building in Paris. This colloquium was an idea of Professor Roshdi Rashed who initiated this field of studies in France some years ago, and proposed "Sciences and Empires" as one of the main research programmes for the The project to organize such a colloquium was a bit REHSEIS group. of a gamble. Its subject, reflected in the title "Sciences and Empires", is not a currently-accepted sub-discipline of the history of science; rather, it refers to a set of questions which found autonomy only recently. The terminology was strongly debated by the participants and, as is frequently suggested in this book, awaits fuller clarification.

Integrable Systems

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Publisher : Springer Science & Business Media
ISBN 13 : 1461203155
Total Pages : 368 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Integrable Systems by : V. Babelon

Download or read book Integrable Systems written by V. Babelon and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the International Conference on Integrable Systems in memory of J.-L. Verdier. It was held on July 1-5, 1991 at the Centre International de Recherches Mathematiques (C.I.R.M.) at Luminy, near Marseille (France). This collection of articles, covering many aspects of the theory of integrable Hamiltonian systems, both finite and infinite-dimensional, with an emphasis on the algebro-geometric meth ods, is published here as a tribute to Verdier who had planned this confer ence before his death in 1989 and whose active involvement with this topic brought integrable systems to the fore as a subject for active research in France. The death of Verdier and his wife on August 25, 1989, in a car accident near their country house, was a shock to all of us who were acquainted with them, and was very deeply felt in the mathematics community. We knew of no better way to honor Verdier's memory than to proceed with both the School on Integrable Systems at the C.I.M.P.A. (Centre International de Mathematiques Pures et Appliquees in Nice), and the Conference on the same theme that was to follow it, as he himself had planned them.

Leçons de géométrie vectorielle préliminaires à l'étude de la théorie d'Einstein

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Publisher :
ISBN 13 :
Total Pages : 380 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Leçons de géométrie vectorielle préliminaires à l'étude de la théorie d'Einstein by : Georges Bouligand

Download or read book Leçons de géométrie vectorielle préliminaires à l'étude de la théorie d'Einstein written by Georges Bouligand and published by . This book was released on 1924 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analogue Gravity Phenomenology

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Publisher : Springer
ISBN 13 : 331900266X
Total Pages : 452 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Analogue Gravity Phenomenology by : Daniele Faccio

Download or read book Analogue Gravity Phenomenology written by Daniele Faccio and published by Springer. This book was released on 2013-08-13 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analogue Gravity Phenomenology is a collection of contributions that cover a vast range of areas in physics, ranging from surface wave propagation in fluids to nonlinear optics. The underlying common aspect of all these topics, and hence the main focus and perspective from which they are explained here, is the attempt to develop analogue models for gravitational systems. The original and main motivation of the field is the verification and study of Hawking radiation from a horizon: the enabling feature is the possibility to generate horizons in the laboratory with a wide range of physical systems that involve a flow of one kind or another. The years around 2010 and onwards witnessed a sudden surge of experimental activity in this expanding field of research. However, building an expertise in analogue gravity requires the researcher to be equipped with a rather broad range of knowledge and interests. The aim of this book is to bring the reader up to date with the latest developments and provide the basic background required in order to appreciate the goals, difficulties, and success stories in the field of analogue gravity. Each chapter of the book treats a different topic explained in detail by the major experts for each specific discipline. The first chapters give an overview of black hole spacetimes and Hawking radiation before moving on to describe the large variety of analogue spacetimes that have been proposed and are currently under investigation. This introductory part is then followed by an in-depth description of what are currently the three most promising analogue spacetime settings, namely surface waves in flowing fluids, acoustic oscillations in Bose-Einstein condensates and electromagnetic waves in nonlinear optics. Both theory and experimental endeavours are explained in detail. The final chapters refer to other aspects of analogue gravity beyond the study of Hawking radiation, such as Lorentz invariance violations and Brownian motion in curved spacetimes, before concluding with a return to the origins of the field and a description of the available observational evidence for horizons in astrophysical black holes.

Perspectives on the Teaching of Geometry for the 21st Century

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Publisher : Springer Science & Business Media
ISBN 13 : 9401152268
Total Pages : 353 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Perspectives on the Teaching of Geometry for the 21st Century by : C. Mammana

Download or read book Perspectives on the Teaching of Geometry for the 21st Century written by C. Mammana and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years geometry seems to have lost large parts of its former central position in mathematics teaching in most countries. However, new trends have begun to counteract this tendency. There is an increasing awareness that geometry plays a key role in mathematics and learning mathematics. Although geometry has been eclipsed in the mathematics curriculum, research in geometry has blossomed as new ideas have arisen from inside mathematics and other disciplines, including computer science. Due to reassessment of the role of geometry, mathematics educators and mathematicians face new challenges. In the present ICMI study, the whole spectrum of teaching and learning of geometry is analysed. Experts from all over the world took part in this study, which was conducted on the basis of recent international research, case studies, and reports on actual school practice. This book will be of particular interest to mathematics educators and mathematicians who are involved in the teaching of geometry at all educational levels, as well as to researchers in mathematics education.

Lecons de Géometrie Vectorielle Préliminaires a L'étude de la Théorie D'Einstein, Avec Une Préface de M. Ed. Goursat

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Publisher :
ISBN 13 :
Total Pages : 356 pages
Book Rating : 4.:/5 (64 download)

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Book Synopsis Lecons de Géometrie Vectorielle Préliminaires a L'étude de la Théorie D'Einstein, Avec Une Préface de M. Ed. Goursat by : Georges Bouligand

Download or read book Lecons de Géometrie Vectorielle Préliminaires a L'étude de la Théorie D'Einstein, Avec Une Préface de M. Ed. Goursat written by Georges Bouligand and published by . This book was released on 1924 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:

General Orthogonal Polynomials

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Publisher : Cambridge University Press
ISBN 13 : 9780521415347
Total Pages : 272 pages
Book Rating : 4.4/5 (153 download)

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Book Synopsis General Orthogonal Polynomials by : Herbert Stahl

Download or read book General Orthogonal Polynomials written by Herbert Stahl and published by Cambridge University Press. This book was released on 1992-04-24 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: An encyclopedic presentation of general orthogonal polynomials, placing emphasis on asymptotic behaviour and zero distribution.

Functions and Uses of Disciplinary Histories

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Publisher : Springer Science & Business Media
ISBN 13 : 9400970358
Total Pages : 381 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Functions and Uses of Disciplinary Histories by : Loren Graham

Download or read book Functions and Uses of Disciplinary Histories written by Loren Graham and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: Edward Gibbon's allegation at the beginning of his Essay on the Study of Literature (1764) that the history of empires is that of the miseries of humankind whereas the history of the sciences is that of their splendour and happiness has for a long time been accepted by professional scientists and by historians of science alike. For its practitioner, the history of a discipline displayed above all the always difficult but fmally rewarding approach to a truth which was incorporated in the discipline in its actual fonn. Looking back, it was only too easy to distinguish those who erred and heretics in the field from the few forerunners of true science. On the one hand, the traditional history of science was told as a story of hero and hero worship, on the other hand it was, paradoxically enough, the constant attempt to remind the scientist whom he should better forget. It is not surprising at all therefore that the traditional history of science was a field of only minor interest for the practitioner of a distinct scientific diSCipline or specialty and at the same time a hardly challenging task for the professional historian. Nietzsche had already described the historian of science as someone who arrives late after harvest-time: it is somebody who is only a tolerated guest at the thanksgiving dinner of the scientific community .

Mathematics Across Cultures

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Publisher : Springer Science & Business Media
ISBN 13 : 9401143013
Total Pages : 489 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Mathematics Across Cultures by : Helaine Selin

Download or read book Mathematics Across Cultures written by Helaine Selin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics Across Cultures: A History of Non-Western Mathematics consists of essays dealing with the mathematical knowledge and beliefs of cultures outside the United States and Europe. In addition to articles surveying Islamic, Chinese, Native American, Aboriginal Australian, Inca, Egyptian, and African mathematics, among others, the book includes essays on Rationality, Logic and Mathematics, and the transfer of knowledge from East to West. The essays address the connections between science and culture and relate the mathematical practices to the cultures which produced them. Each essay is well illustrated and contains an extensive bibliography. Because the geographic range is global, the book fills a gap in both the history of science and in cultural studies. It should find a place on the bookshelves of advanced undergraduate students, graduate students, and scholars, as well as in libraries serving those groups.