Notions De Calcul Tensoriel

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Tensor Calculus and Analytical Dynamics

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Author : John G. Papastavridis
Publisher : Routledge
ISBN 13 : 1351411616
Total Pages : 444 pages
Book Rating : 4.3/5 (514 download)

Book Synopsis Tensor Calculus and Analytical Dynamics by : John G. Papastavridis

Download or read book Tensor Calculus and Analytical Dynamics written by John G. Papastavridis and published by Routledge. This book was released on 2018-12-12 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tensor Calculus and Analytical Dynamics provides a concise, comprehensive, and readable introduction to classical tensor calculus - in both holonomic and nonholonomic coordinates - as well as to its principal applications to the Lagrangean dynamics of discrete systems under positional or velocity constraints. The thrust of the book focuses on formal structure and basic geometrical/physical ideas underlying most general equations of motion of mechanical systems under linear velocity constraints. Written for the theoretically minded engineer, Tensor Calculus and Analytical Dynamics contains uniquely accessbile treatments of such intricate topics as: tensor calculus in nonholonomic variables Pfaffian nonholonomic constraints related integrability theory of Frobenius The book enables readers to move quickly and confidently in any particular geometry-based area of theoretical or applied mechanics in either classical or modern form.

Mathematical Analysis during the 20th Century

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Author : Jean-Paul Pier
Publisher : OUP Oxford
ISBN 13 : 0191544949
Total Pages : 440 pages
Book Rating : 4.1/5 (915 download)

Book Synopsis Mathematical Analysis during the 20th Century by : Jean-Paul Pier

Download or read book Mathematical Analysis during the 20th Century written by Jean-Paul Pier and published by OUP Oxford. This book was released on 2001-07-05 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: For several centuries, analysis has been one of the most prestigious and important subjects in mathematics. The present book sets off by tracing the evolution of mathematical analysis, and then endeavours to understand the developments of main trends, problems, and conjectures. It features chapters on general topology, 'classical' integration and measure theory, functional analysis, harmonic analysis and Lie groups, theory of functions and analytic geometry, differential and partial differential equations, topological and differential geometry. The ubiquitous presence of analysis also requires the consideration of related topics such as probability theory or algebraic geometry. Each chapter features a comprehensive first part on developments during the period 1900-1950, and then provides outlooks on representative achievements during the later part of the century. The book provides many original quotations from outstanding mathematicians as well as an extensive bibliography of the seminal publications. It will be an interesting and useful reference work for graduate students, lecturers, and all professional mathematicians and other scientists with an interest in the history of mathematics.

Acta mathematica

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Author :
Publisher :
ISBN 13 :
Total Pages : 856 pages
Book Rating : 4.U/5 (183 download)

Book Synopsis Acta mathematica by :

Download or read book Acta mathematica written by and published by . This book was released on 1922 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Differential Geometry

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Author : I. M. James
Publisher : Elsevier
ISBN 13 : 148316473X
Total Pages : 397 pages
Book Rating : 4.4/5 (831 download)

Book Synopsis Differential Geometry by : I. M. James

Download or read book Differential Geometry written by I. M. James and published by Elsevier. This book was released on 2014-05-16 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematical Works of J. H. C. Whitehead, Volume 1: Differential Geometry contains all of Whitehead's published work on differential geometry, along with some papers on algebras. Most of these were written in the period 1929-1937, but a few later articles are included. The book begins with a list of Whitehead's works, in chronological order of writing as well as a biographical note by M. H. A. Newman and Barbara Whitehead, and a mathematical appreciation by John Milnor. This is followed by separate chapters on topics such as linear connections; a method of obtaining normal representations for a projective connection; representation of projective spaces; convex regions in the geometry of paths; locally homogeneous spaces in differential geometry; and the decomposition of an infinitesimal group. Also included are chapters on locally homogeneous spaces in differential geometry; Maurer's equations; linear associative algebras; an expression of Hopf's invariant as an integral; and normalizators of transformation groups.

Publication A.I.M.

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Author : International Union of Geodesy and Geophysics. Association of Meteorology
Publisher :
ISBN 13 :
Total Pages : 642 pages
Book Rating : 4.1/5 (22 download)

Book Synopsis Publication A.I.M. by : International Union of Geodesy and Geophysics. Association of Meteorology

Download or read book Publication A.I.M. written by International Union of Geodesy and Geophysics. Association of Meteorology and published by . This book was released on 1956 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bulletin of the American Mathematical Society

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Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 570 pages
Book Rating : 4.:/5 (321 download)

Book Synopsis Bulletin of the American Mathematical Society by : American Mathematical Society

Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1923 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Jacques Hadamard

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Author : Vladimir Gilelevič Mazʹâ
Publisher : American Mathematical Soc.
ISBN 13 : 9780821819234
Total Pages : 604 pages
Book Rating : 4.8/5 (192 download)

Book Synopsis Jacques Hadamard by : Vladimir Gilelevič Mazʹâ

Download or read book Jacques Hadamard written by Vladimir Gilelevič Mazʹâ and published by American Mathematical Soc.. This book was released on 1999 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a fascinating story of the long life and great accomplishments of Jacques Hadamard (1865-1963), who was once called 'the living legend of mathematics'. As one of the last universal mathematicians, Hadamard's contributions to mathematics are landmarks in various fields. His life is linked with world history of the 20th century in a dramatic way. This work provides an inspiring view of the development of various branches of mathematics during the 19th and 20th centuries.Part I of the book portrays Hadamard's family, childhood and student years, scientific triumphs, and his personal life and trials during the first two world wars. The story is told of his involvement in the Dreyfus affair and his subsequent fight for justice and human rights. Also recounted are Hadamard's worldwide travels, his famous seminar, his passion for botany, his home orchestra, where he played the violin with Einstein, and his interest in the psychology of mathematical creativity. Hadamard's life is described in a readable and inviting way.The authors humorously weave throughout the text his jokes and the myths about him. They also movingly recount the tragic side of his life. Stories about his relatives and friends, and old letters and documents create an authentic and colorful picture. The book contains over 300 photographs and illustrations. Part II of the book includes a lucid overview of Hadamard's enormous work, spanning over six decades. The authors do an excellent job of connecting his results to current concerns.While the book is accessible to beginners, it also provides rich information of interest to experts. Vladimir Mazya and Tatyana Shaposhnikova were the 2003 laureates of the Insitut de France's Prix Alfred Verdaguer. One or more prizes are awarded each year, based on suggestions from the Academie francaise, the Academie de sciences, and the Academie de beaux-arts, for the most remarkable work in the arts, literature, and the sciences. In 2003, the award for excellence was granted in recognition of Mazya and Shaposhnikova's book, ""Jacques Hadamard, A Universal Mathematician"", which is both an historical book about a great citizen and a scientific book about a great mathematician.

Differential Geometry

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Author : R.W. Sharpe
Publisher : Springer Science & Business Media
ISBN 13 : 9780387947327
Total Pages : 452 pages
Book Rating : 4.9/5 (473 download)

Book Synopsis Differential Geometry by : R.W. Sharpe

Download or read book Differential Geometry written by R.W. Sharpe and published by Springer Science & Business Media. This book was released on 2000-11-21 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cartan geometries were the first examples of connections on a principal bundle. They seem to be almost unknown these days, in spite of the great beauty and conceptual power they confer on geometry. The aim of the present book is to fill the gap in the literature on differential geometry by the missing notion of Cartan connections. Although the author had in mind a book accessible to graduate students, potential readers would also include working differential geometers who would like to know more about what Cartan did, which was to give a notion of "espaces généralisés" (= Cartan geometries) generalizing homogeneous spaces (= Klein geometries) in the same way that Riemannian geometry generalizes Euclidean geometry. In addition, physicists will be interested to see the fully satisfying way in which their gauge theory can be truly regarded as geometry.

Selected Papers of Kentaro Yano

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Author : M. Obata
Publisher : Elsevier
ISBN 13 : 008087181X
Total Pages : 419 pages
Book Rating : 4.0/5 (88 download)

Book Synopsis Selected Papers of Kentaro Yano by : M. Obata

Download or read book Selected Papers of Kentaro Yano written by M. Obata and published by Elsevier. This book was released on 1982-01-01 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: Selected Papers of Kentaro Yano

Modern Methods in Celestial Mechanics

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Author : Daniel Benest
Publisher : Atlantica Séguier Frontières
ISBN 13 : 9782863320914
Total Pages : 526 pages
Book Rating : 4.3/5 (29 download)

Book Synopsis Modern Methods in Celestial Mechanics by : Daniel Benest

Download or read book Modern Methods in Celestial Mechanics written by Daniel Benest and published by Atlantica Séguier Frontières. This book was released on 1992 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt:

JMPA

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Author : Joseph Liouville
Publisher :
ISBN 13 :
Total Pages : 448 pages
Book Rating : 4.3/5 ( download)

Book Synopsis JMPA by : Joseph Liouville

Download or read book JMPA written by Joseph Liouville and published by . This book was released on 1924 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modélisation et simulation numériques en formage virtuel

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Author : SAANOUNI Khemais
Publisher : Lavoisier
ISBN 13 : 2746282259
Total Pages : 578 pages
Book Rating : 4.7/5 (462 download)

Book Synopsis Modélisation et simulation numériques en formage virtuel by : SAANOUNI Khemais

Download or read book Modélisation et simulation numériques en formage virtuel written by SAANOUNI Khemais and published by Lavoisier. This book was released on 2012-04-16 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cet ouvrage fait le point sur les méthodes actuelles les plus performantes pour modéliser, simuler et optimiser les procédés de mise en forme des structures minces et massives et d'en donner les tendances des nouvelles méthodes innovantes actuellement en cours de développement et qui feront à n'en pas douter les "outils" industriels de demain dans le domaine du formage virtuel. Par rapport aux ouvrages récents dédiés aux méthodes numériques en mise en forme, le principal apport de ce livre se trouve rassemblé au deuxième chapitre qui concerne le développement des modèles de comportement multiphysiques à fortes capacités prédictives, utilisables dans les codes de calcul des structures pour simuler et optimiser tous types de procédés de mise en forme par grandes déformations irréversibles de structures métalliques minces et/ou massives et leur "optimisation" vis-à-vis de l'avènement de l'endommagement ductile.

Conformal Groups in Geometry and Spin Structures

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Author : Pierre Anglès
Publisher : Springer Science & Business Media
ISBN 13 : 0817635122
Total Pages : 307 pages
Book Rating : 4.8/5 (176 download)

Book Synopsis Conformal Groups in Geometry and Spin Structures by : Pierre Anglès

Download or read book Conformal Groups in Geometry and Spin Structures written by Pierre Anglès and published by Springer Science & Business Media. This book was released on 2007-11-29 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a self-contained overview of the role of conformal groups in geometry and mathematical physics. It features a careful development of the material, from the basics of Clifford algebras to more advanced topics. Each chapter covers a specific aspect of conformal groups and conformal spin geometry. All major concepts are introduced and followed by detailed descriptions and definitions, and a comprehensive bibliography and index round out the work. Rich in exercises that are accompanied by full proofs and many hints, the book will be ideal as a course text or self-study volume for senior undergraduates and graduate students.

Elie Cartan (1869-1951)

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Author : M. A. Akivis
Publisher : American Mathematical Soc.
ISBN 13 : 0821853554
Total Pages : 334 pages
Book Rating : 4.8/5 (218 download)

Book Synopsis Elie Cartan (1869-1951) by : M. A. Akivis

Download or read book Elie Cartan (1869-1951) written by M. A. Akivis and published by American Mathematical Soc.. This book was released on 2011-07-14 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the life and achievements of the great French mathematician, Elie Cartan. Here readers will find detailed descriptions of Cartan's discoveries in Lie groups and algebras, associative algebras, differential equations, and differential geometry, as well of later developments stemming from his ideas. There is also a biographical sketch of Cartan's life. A monumental tribute to a towering figure in the history of mathematics, this book will appeal to mathematicians and historians alike.

Fluid Dynamics Transactions

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Author : W. Fiszdon
Publisher : Elsevier
ISBN 13 : 1483149358
Total Pages : 655 pages
Book Rating : 4.4/5 (831 download)

Book Synopsis Fluid Dynamics Transactions by : W. Fiszdon

Download or read book Fluid Dynamics Transactions written by W. Fiszdon and published by Elsevier. This book was released on 2013-10-22 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fluid Dynamics Transactions, Volume 2 compiles 46 papers on fluid dynamics, a subdiscipline of fluid mechanics that deals with fluid flow. The topics discussed in this book include developments in interference theory for aeronautical applications; diffusion from sources in a turbulent boundary layer; unsteady motion of a finite wing span in a compressible medium; and wall pressure covariance and comparison with experiment. The certain classes of non-stationary axially symmetric flows in magneto–gas–dynamics; description of the phenomenon of secondary flows in curved channels by means of convection of rotation lines; and some variational problems of gas dynamics are also deliberated in this text. This publication is a good reference for physicists and students researching on the natural science of fluids in motion.

A Panorama of Hungarian Mathematics in the Twentieth Century, I

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Author : Janos Horvath
Publisher : Springer Science & Business Media
ISBN 13 : 3540307214
Total Pages : 639 pages
Book Rating : 4.5/5 (43 download)

Book Synopsis A Panorama of Hungarian Mathematics in the Twentieth Century, I by : Janos Horvath

Download or read book A Panorama of Hungarian Mathematics in the Twentieth Century, I written by Janos Horvath and published by Springer Science & Business Media. This book was released on 2010-06-28 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: A glorious period of Hungarian mathematics started in 1900 when Lipót Fejér discovered the summability of Fourier series.This was followed by the discoveries of his disciples in Fourier analysis and in the theory of analytic functions. At the same time Frederic (Frigyes) Riesz created functional analysis and Alfred Haar gave the first example of wavelets. Later the topics investigated by Hungarian mathematicians broadened considerably, and included topology, operator theory, differential equations, probability, etc. The present volume, the first of two, presents some of the most remarkable results achieved in the twentieth century by Hungarians in analysis, geometry and stochastics. The book is accessible to anyone with a minimum knowledge of mathematics. It is supplemented with an essay on the history of Hungary in the twentieth century and biographies of those mathematicians who are no longer active. A list of all persons referred to in the chapters concludes the volume.

"Scientia", rivista di scienza

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Author :
Publisher :
ISBN 13 :
Total Pages : 584 pages
Book Rating : 4.3/5 (243 download)

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Download or read book "Scientia", rivista di scienza written by and published by . This book was released on 1925 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: