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Author : Tullio Levi-Civita
Publisher :
ISBN 13 :
Total Pages : 476 pages
Book Rating : 4.3/5 (91 download)
Download or read book The Absolute Differential Calculus written by Tullio Levi-Civita and published by . This book was released on 1927 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tullio Levi-Civita
Publisher : Courier Corporation
ISBN 13 : 0486634019
Total Pages : 482 pages
Book Rating : 4.4/5 (866 download)
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 1977-01-01 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a towering figure of 20th-century mathematics, this classic examines the mathematical material necessary for a grasp of relativity theory. Levi-Civita's thorough treatment of introductory theories provides the basis for his discussions of fundamental quadratic forms and absolute differential calculus. Concluding chapters address physical applications. 1926 edition.
Author : Tullio Levi-Civita
Publisher :
ISBN 13 :
Total Pages : 476 pages
Book Rating : 4.:/5 (321 download)
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:
Author : A. J. McConnell
Publisher : Chapman Press
ISBN 13 : 9781447457749
Total Pages : 330 pages
Book Rating : 4.4/5 (577 download)
Download or read book Applications of the Absolute Differential Calculus written by A. J. McConnell and published by Chapman Press. This book was released on 2012-06 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the earliest books, particularly those dating back to the 1900s and before, are now extremely scarce and increasingly expensive. We are republishing these classic works in affordable, high quality, modern editions, using the original text and artwork.
Author : Tullio Levi-Civita
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (841 download)
Download or read book The Absolute Differential Calculus (calculus of Tensors). written by Tullio Levi-Civita and published by . This book was released on 1947 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tullio Levi-Civita
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (852 download)
Download or read book The Absolute Differential Calculus written by Tullio Levi-Civita and published by . This book was released on 1954 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Albert Joseph McConnell
Publisher :
ISBN 13 :
Total Pages : 342 pages
Book Rating : 4.3/5 (91 download)
Download or read book Applications of the Absolute Differential Calculus written by Albert Joseph McConnell and published by . This book was released on 1936 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tullio Levi-Civita
Publisher :
ISBN 13 :
Total Pages : 452 pages
Book Rating : 4.:/5 (234 download)
Download or read book The Absolute Differential Calculus Calculus of Tensors written by Tullio Levi-Civita and published by . This book was released on 1929 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David Lovelock
Publisher : Courier Corporation
ISBN 13 : 048613198X
Total Pages : 400 pages
Book Rating : 4.4/5 (861 download)
Download or read book Tensors, Differential Forms, and Variational Principles written by David Lovelock and published by Courier Corporation. This book was released on 2012-04-20 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques. Includes problems.
Author : Tullio Levi-Civita
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (138 download)
Download or read book The Absolute Differential Calculus written by Tullio Levi-Civita and published by . This book was released on 1809 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. L. Synge
Publisher : Courier Corporation
ISBN 13 : 048614139X
Total Pages : 336 pages
Book Rating : 4.4/5 (861 download)
Download or read book Tensor Calculus written by J. L. Synge and published by Courier Corporation. This book was released on 2012-04-26 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamental introduction of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering. Topics include spaces and tensors; basic operations in Riemannian space, curvature of space, more.
Author : Paul Renteln
Publisher : Cambridge University Press
ISBN 13 : 1107042194
Total Pages : 343 pages
Book Rating : 4.1/5 (7 download)
Download or read book Manifolds, Tensors and Forms written by Paul Renteln and published by Cambridge University Press. This book was released on 2014 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive treatment of the essentials of modern differential geometry and topology for graduate students in mathematics and the physical sciences.
Author : John G. Papastavridis
Publisher : Routledge
ISBN 13 : 1351411624
Total Pages : 435 pages
Book Rating : 4.3/5 (514 download)
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 435 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.
Author : Pavel Grinfeld
Publisher : Springer Science & Business Media
ISBN 13 : 1461478677
Total Pages : 303 pages
Book Rating : 4.4/5 (614 download)
Download or read book Introduction to Tensor Analysis and the Calculus of Moving Surfaces written by Pavel Grinfeld and published by Springer Science & Business Media. This book was released on 2013-09-24 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is distinguished from other texts on the subject by the depth of the presentation and the discussion of the calculus of moving surfaces, which is an extension of tensor calculus to deforming manifolds. Designed for advanced undergraduate and graduate students, this text invites its audience to take a fresh look at previously learned material through the prism of tensor calculus. Once the framework is mastered, the student is introduced to new material which includes differential geometry on manifolds, shape optimization, boundary perturbation and dynamic fluid film equations. The language of tensors, originally championed by Einstein, is as fundamental as the languages of calculus and linear algebra and is one that every technical scientist ought to speak. The tensor technique, invented at the turn of the 20th century, is now considered classical. Yet, as the author shows, it remains remarkably vital and relevant. The author’s skilled lecturing capabilities are evident by the inclusion of insightful examples and a plethora of exercises. A great deal of material is devoted to the geometric fundamentals, the mechanics of change of variables, the proper use of the tensor notation and the discussion of the interplay between algebra and geometry. The early chapters have many words and few equations. The definition of a tensor comes only in Chapter 6 – when the reader is ready for it. While this text maintains a consistent level of rigor, it takes great care to avoid formalizing the subject. The last part of the textbook is devoted to the Calculus of Moving Surfaces. It is the first textbook exposition of this important technique and is one of the gems of this text. A number of exciting applications of the calculus are presented including shape optimization, boundary perturbation of boundary value problems and dynamic fluid film equations developed by the author in recent years. Furthermore, the moving surfaces framework is used to offer new derivations of classical results such as the geodesic equation and the celebrated Gauss-Bonnet theorem.
Author : Lynn Harold Loomis
Publisher : World Scientific Publishing Company
ISBN 13 : 9814583952
Total Pages : 596 pages
Book Rating : 4.8/5 (145 download)
Download or read book Advanced Calculus written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Author : Tullio Levi-Civita
Publisher :
ISBN 13 :
Total Pages : 452 pages
Book Rating : 4.:/5 (488 download)
Download or read book The Absolute Differential Calculus written by Tullio Levi-Civita and published by . This book was released on 1961 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Antonio Romano
Publisher : Springer Nature
ISBN 13 : 3030272370
Total Pages : 496 pages
Book Rating : 4.0/5 (32 download)
Download or read book The Physical and Mathematical Foundations of the Theory of Relativity written by Antonio Romano and published by Springer Nature. This book was released on 2019-09-25 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique textbook offers a mathematically rigorous presentation of the theory of relativity, emphasizing the need for a critical analysis of the foundations of general relativity in order to best study the theory and its implications. The transitions from classical mechanics to special relativity and then to general relativity are explored in detail as well, helping readers to gain a more profound and nuanced understanding of the theory as a whole. After reviewing the fundamentals of differential geometry and classical mechanics, the text introduces special relativity, first using the physical approach proposed by Einstein and then via Minkowski’s mathematical model. The authors then address the relativistic thermodynamics of continua and electromagnetic fields in matter – topics which are normally covered only very briefly in other treatments – in the next two chapters. The text then turns to a discussion of general relativity by means of the authors’ unique critical approach, underlining the difficulty of recognizing the physical meaning of some statements, such as the physical meaning of coordinates and the derivation of physical quantities from those of space-time. Chapters in this section cover the model of space-time proposed by Schwarzschild; black holes; the Friedman equations and the different cosmological models they describe; and the Fermi-Walker derivative. Well-suited for graduate students in physics and mathematics who have a strong foundation in real analysis, classical mechanics, and general physics, this textbook is appropriate for a variety of graduate-level courses that cover topics in relativity. Additionally, it will interest physicists and other researchers who wish to further study the subtleties of these theories and understand the contemporary scholarly discussions surrounding them.
