Tensor Calculus and Analytical Dynamics

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Publisher : Routledge
ISBN 13 : 1351411616
Total Pages : 444 pages
Book Rating : 4.3/5 (514 download)

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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.

Tensor Calculus for Engineers and Physicists

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Publisher : Springer
ISBN 13 : 331931520X
Total Pages : 370 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Tensor Calculus for Engineers and Physicists by : Emil de Souza Sánchez Filho

Download or read book Tensor Calculus for Engineers and Physicists written by Emil de Souza Sánchez Filho and published by Springer. This book was released on 2016-05-20 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a rigorous approach to tensor manifolds in several aspects relevant for Engineers and Physicists working in industry or academia. With a thorough, comprehensive, and unified presentation, this book offers insights into several topics of tensor analysis, which covers all aspects of n-dimensional spaces. The main purpose of this book is to give a self-contained yet simple, correct and comprehensive mathematical explanation of tensor calculus for undergraduate and graduate students and for professionals. In addition to many worked problems, this book features a selection of examples, solved step by step. Although no emphasis is placed on special and particular problems of Engineering or Physics, the text covers the fundamentals of these fields of science. The book makes a brief introduction into the basic concept of the tensorial formalism so as to allow the reader to make a quick and easy review of the essential topics that enable having the grounds for the subsequent themes, without needing to resort to other bibliographical sources on tensors. Chapter 1 deals with Fundamental Concepts about tensors and chapter 2 is devoted to the study of covariant, absolute and contravariant derivatives. The chapters 3 and 4 are dedicated to the Integral Theorems and Differential Operators, respectively. Chapter 5 deals with Riemann Spaces, and finally the chapter 6 presents a concise study of the Parallelism of Vectors. It also shows how to solve various problems of several particular manifolds.

The Absolute Differential Calculus (calculus of Tensors)

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Publisher :
ISBN 13 :
Total Pages : 476 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis The Absolute Differential Calculus (calculus of Tensors) by : Tullio Levi-Civita

Download or read book The Absolute Differential Calculus (calculus of Tensors) written by Tullio Levi-Civita and published by . This book was released on 1926 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Absolute Differential Calculus (Calculus of Tensors)

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486316254
Total Pages : 482 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis The Absolute Differential Calculus (Calculus of Tensors) by : Tullio Levi-Civita

Download or read book The Absolute Differential Calculus (Calculus of Tensors) written by Tullio Levi-Civita and published by Courier Corporation. This book was released on 2013-07-24 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a distinguished mathematician, this classic examines the mathematical material necessary for a grasp of relativity theory. Covers introductory theories, fundamental quadratic forms, absolute differential calculus, and physical applications. 1926 edition.

Differential Geometry

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

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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.

Jacques Hadamard

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

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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.

Technical Book Review Index

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Publisher :
ISBN 13 :
Total Pages : 1164 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Technical Book Review Index by :

Download or read book Technical Book Review Index written by and published by . This book was released on 1927 with total page 1164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Fundamentals of Advanced Mathematics V3

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Publisher : Elsevier
ISBN 13 : 0081023863
Total Pages : 428 pages
Book Rating : 4.0/5 (81 download)

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Book Synopsis Fundamentals of Advanced Mathematics V3 by : Henri Bourles

Download or read book Fundamentals of Advanced Mathematics V3 written by Henri Bourles and published by Elsevier. This book was released on 2019-10-11 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Advanced Mathematics, Volume Three, begins with the study of differential and analytic infinite-dimensional manifolds, then progresses into fibered bundles, in particular, tangent and cotangent bundles. In addition, subjects covered include the tensor calculus on manifolds, differential and integral calculus on manifolds (general Stokes formula, integral curves and manifolds), an analysis on Lie groups, the Haar measure, the convolution of functions and distributions, and the harmonic analysis over a Lie group. Finally, the theory of connections is (linear connections, principal connections, and Cartan connections) covered, as is the calculus of variations in Lagrangian and Hamiltonian formulations. This volume is the prerequisite to the analytic and geometric study of nonlinear systems. - Includes sections on differential and analytic manifolds, vector bundles, tensors, Lie derivatives, applications to algebraic topology, and more - Presents an ideal prerequisite resource on the analytic and geometric study of nonlinear systems - Provides theory as well as practical information

Catalog of Copyright Entries

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Publisher :
ISBN 13 :
Total Pages : 1722 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Catalog of Copyright Entries by : Library of Congress. Copyright Office

Download or read book Catalog of Copyright Entries written by Library of Congress. Copyright Office and published by . This book was released on 1923 with total page 1722 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Learning the Physics of Einstein with Georges Lemaître

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Publisher : Springer Nature
ISBN 13 : 3030220303
Total Pages : 266 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Learning the Physics of Einstein with Georges Lemaître by : Georges Lemaître

Download or read book Learning the Physics of Einstein with Georges Lemaître written by Georges Lemaître and published by Springer Nature. This book was released on 2019-11-26 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the first English translation of the original French treatise “La Physique d’Einstein” written by the young Georges Lemaître in 1922, only six years after the publication of Albert Einstein’s theory of General Relativity. It includes an historical introduction and a critical edition of the original treatise in French supplemented by the author’s own later additions and corrections. Monsignor Georges Lemaître can be considered the founder of the “Big Bang Theory” and a visionary architect of modern Cosmology. The scientific community is only beginning to grasp the full extent of the legacy of this towering figure of 20th century physics. Against the best advice of the greatest names of his time, the young Lemaître was convinced, solely through the study of Einstein’s theory of General Relativity, that space and time must have had a beginning with a tremendous “Big Bang” from a “quantum primeval atom” resulting in an ever-expanding Universe with a positive cosmological constant. But how did the young Lemaître, essentially on his own, come to grips with the physics of Einstein? A year before his ordination as a diocesan priest, he submitted the audacious treatise, published in this book, that was to earn him Fellowships to study at Cambridge, MIT and Harvard, and launched him on a scientific path of ground-breaking discoveries. Almost a century after Lemaître’s seminal publications of 1927 and 1931, this highly pedagogical treatise is still of timely interest to young minds and remains of great value from a history of science perspective.

Proceedings of the London Mathematical Society

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Publisher :
ISBN 13 :
Total Pages : 572 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Proceedings of the London Mathematical Society by : London Mathematical Society

Download or read book Proceedings of the London Mathematical Society written by London Mathematical Society and published by . This book was released on 1923 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Papers presented to J. E. Littlewood on his 80th birthday" issued as 3d ser., v. 14 A, 1965.

The Finite Element Method for Elliptic Problems

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Publisher : Elsevier
ISBN 13 : 0080875254
Total Pages : 551 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis The Finite Element Method for Elliptic Problems by : P.G. Ciarlet

Download or read book The Finite Element Method for Elliptic Problems written by P.G. Ciarlet and published by Elsevier. This book was released on 1978-01-01 with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objective of this book is to analyze within reasonable limits (it is not a treatise) the basic mathematical aspects of the finite element method. The book should also serve as an introduction to current research on this subject. On the one hand, it is also intended to be a working textbook for advanced courses in Numerical Analysis, as typically taught in graduate courses in American and French universities. For example, it is the author's experience that a one-semester course (on a three-hour per week basis) can be taught from Chapters 1, 2 and 3 (with the exception of Section 3.3), while another one-semester course can be taught from Chapters 4 and 6. On the other hand, it is hoped that this book will prove to be useful for researchers interested in advanced aspects of the numerical analysis of the finite element method. In this respect, Section 3.3, Chapters 5, 7 and 8, and the sections on "Additional Bibliography and Comments should provide many suggestions for conducting seminars.

Digital Seismology and Fine Modeling of the Lithosphere

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Publisher : Springer Science & Business Media
ISBN 13 : 1489967591
Total Pages : 421 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Digital Seismology and Fine Modeling of the Lithosphere by : R. Cassinis

Download or read book Digital Seismology and Fine Modeling of the Lithosphere written by R. Cassinis and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the International School of Applied Geophysics on title] held March 1987, Erice, Italy. Presents updated seismic techniques for the exploration of the shallower structure of the Earth as well as for the understanding of the dynamic processes taking place in the crust and upper mantle. Also the theoretical background leading to techn

Differential Equations

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Publisher : CRC Press
ISBN 13 : 1000717372
Total Pages : 514 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis Differential Equations by : O.A. Oleinik

Download or read book Differential Equations written by O.A. Oleinik and published by CRC Press. This book was released on 2019-08-16 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part II of the Selected Works of Ivan Georgievich Petrowsky, contains his major papers on second order Partial differential equations, systems of ordinary. Differential equations, the theory, of Probability, the theory of functions, and the calculus of variations. Many of the articles contained in this book have Profoundly, influenced the development of modern mathematics. Of exceptional value is the article on the equation of diffusion with growing quantity of the substance. This work has found extensive application in biology, genetics, economics and other branches of natural science. Also of great importance is Petrowsky's work on a Problem which still remains unsolved - that of the number of limit cycles for ordinary differential equations with rational right-hand sides.

Spinors and Space-Time: Volume 1, Two-Spinor Calculus and Relativistic Fields

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Publisher : Cambridge University Press
ISBN 13 : 9780521337076
Total Pages : 476 pages
Book Rating : 4.3/5 (37 download)

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Book Synopsis Spinors and Space-Time: Volume 1, Two-Spinor Calculus and Relativistic Fields by : Roger Penrose

Download or read book Spinors and Space-Time: Volume 1, Two-Spinor Calculus and Relativistic Fields written by Roger Penrose and published by Cambridge University Press. This book was released on 1984 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 1 introduces and systematically develops the calculus in a first detailed exposition of this technique which provides shortcuts for some very tedious calculations.

Bulletin of the American Mathematical Society

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

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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: