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Author | Robert C. Wrede | |

ISBN-10 | 9780486137117 | |

Release | 2013-01-30 | |

Pages | 418 | |

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Examines general Cartesian coordinates, the cross product, Einstein's special theory of relativity, bases in general coordinate systems, maxima and minima of functions of two variables, line integrals, integral theorems, and more. 1963 edition. |

Author | A. I. Borisenko | |

ISBN-10 | 9780486131900 | |

Release | 2012-08-28 | |

Pages | 288 | |

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Concise, readable text ranges from definition of vectors and discussion of algebraic operations on vectors to the concept of tensor and algebraic operations on tensors. Worked-out problems and solutions. 1968 edition. |

Author | Ray M. Bowen | |

ISBN-10 | 9780486469140 | |

Release | 2008 | |

Pages | 520 | |

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This convenient single-volume compilation of two texts offers both an introduction and an in-depth survey. Geared toward engineering and science students rather than mathematicians, its less rigorous treatment focuses on physics and engineering applications. A practical reference for professionals, it is suitable for advanced undergraduate and graduate students. 1976 edition. |

Author | Louis Brand | |

ISBN-10 | 9780486154848 | |

Release | 2012-06-22 | |

Pages | 304 | |

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This text was designed as a short introductory course to give students the tools of vector algebra and calculus, as well as a brief glimpse into the subjects' manifold applications. 1957 edition. 86 figures. |

Author | Rutherford Aris | |

ISBN-10 | 9780486134895 | |

Release | 2012-08-28 | |

Pages | 320 | |

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Introductory text, geared toward advanced undergraduate and graduate students, applies mathematics of Cartesian and general tensors to physical field theories and demonstrates them in terms of the theory of fluid mechanics. 1962 edition. |

Author | J. L. Synge | |

ISBN-10 | 9780486141398 | |

Release | 2012-04-26 | |

Pages | 336 | |

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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 | James G. Simmonds | |

ISBN-10 | 9781441985224 | |

Release | 2012-10-31 | |

Pages | 114 | |

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In this text which gradually develops the tools for formulating and manipulating the field equations of Continuum Mechanics, the mathematics of tensor analysis is introduced in four, well-separated stages, and the physical interpretation and application of vectors and tensors are stressed throughout. This new edition contains more exercises. In addition, the author has appended a section on Differential Geometry. |

Author | David Lovelock | |

ISBN-10 | 9780486131986 | |

Release | 2012-04-20 | |

Pages | 400 | |

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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 | George E. Hay | |

ISBN-10 | 9780486601090 | |

Release | 1953 | |

Pages | 193 | |

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"Remarkably comprehensive, concise and clear." — Industrial Laboratories "Considered as a condensed text in the classical manner, the book can well be recommended." — Nature Here is a clear introduction to classic vector and tensor analysis for students of engineering and mathematical physics. Chapters range from elementary operations and applications of geometry, to application of vectors to mechanics, partial differentiation, integration, and tensor analysis. More than 200 problems are included throughout the book. |

Author | C. E. Springer | |

ISBN-10 | 9780486498010 | |

Release | 2012-11 | |

Pages | 242 | |

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Assuming only a knowledge of basic calculus, this textpresents an elementary and gradual development of tensortheory. From this treatment, the traditional material ofcourses on vector analysis is deduced as a particular case. Inaddition, the book forms an introduction to metric differentialgeometry.Reprint of The Ronald Press Company, New York, 1962 edition. |

Author | Richard L. Bishop | |

ISBN-10 | 9780486139234 | |

Release | 2012-04-26 | |

Pages | 288 | |

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DIVProceeds from general to special, including chapters on vector analysis on manifolds and integration theory. /div |

Author | A J McConnell | |

ISBN-10 | 1614276897 | |

Release | 2014-09-02 | |

Pages | 332 | |

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2014 Reprint of 1957 Edition. Full facsimile of the original edition. Not reproduced with Optical Recognition Software. Formerly entitled "Applications of the Absolute Differential Calculus," this work applies tensorial methods to subjects within the realm of advanced college mathematics. In four major divisions, it explains the fundamental ideas and notation of tensor theory; covers the geometrical treatment of tensor algebra; introduces the theory of the differentiation of tensors; and applies mathematics to dynamics, electricity, elasticity and hydrodynamics. |

Author | M. A. Akivis | |

ISBN-10 | 9780486148786 | |

Release | 2012-07-25 | |

Pages | 192 | |

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Eminently readable, completely elementary treatment begins with linear spaces and ends with analytic geometry, covering multilinear forms, tensors, linear transformation, and more. 250 problems, most with hints and answers. 1972 edition. |

Author | Pavel Grinfeld | |

ISBN-10 | 9781461478676 | |

Release | 2013-09-24 | |

Pages | 302 | |

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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 | Albert P. Wills | |

ISBN-10 | OCLC:989553980 | |

Release | 1958 | |

Pages | 285 | |

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Vector Analysis with an Introduction to Tensor Analysis has been writing in one form or another for most of life. You can find so many inspiration from Vector Analysis with an Introduction to Tensor Analysis also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Vector Analysis with an Introduction to Tensor Analysis book for free. |

Author | Jan Arnoldus Schouten | |

ISBN-10 | 9780486655826 | |

Release | 1954 | |

Pages | 277 | |

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This rigorous and advanced mathematical explanation of classic tensor analysis was written by one of the founders of tensor calculus. Its concise exposition of the mathematical basis of the discipline is integrated with well-chosen physical examples of the theory, including those involving elasticity, classical dynamics, relativity, and Dirac's matrix calculus. 1954 edition. |

Author | Barry Spain | |

ISBN-10 | 9780486428314 | |

Release | 2003 | |

Pages | 125 | |

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A compact exposition of the theory of tensors, this text also illustrates the power of the tensor technique by its applications to differential geometry, elasticity, and relativity. Explores tensor algebra, the line element, covariant differentiation, geodesics and parallelism, and curvature tensor. Also covers Euclidean 3-dimensional differential geometry, Cartesian tensors and elasticity, and the theory of relativity. 1960 edition. |