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Recommendations...

The Theory of SpinorsThe Theory of Spinors 
by Élie Cartan
Describes orthgonal and related Lie groups, using real or complex parameters and indefinite metrics. Develops theory of spinors by giving a purely geometric definition of these mathematical entities.

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About VectorsAbout Vectors 
by Banesh Hoffmann
No calculus needed, but this is not an elementary book. Introduces vectors, algebraic notation and basic ideas, vector algebra and scalars. Includes 386 exercises.


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Tensors, Differential Forms, and Variational PrinciplesTensors, Differential Forms, and Variational Principles 
by David Lovelock, Hanno Rund
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.

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Matrix Vector AnalysisMatrix Vector Analysis 
by Richard L. Eisenman
This outstanding text and reference for upper-level undergraduates features extensive problems and solutions in its application of matrix ideas to vector methods for a synthesis of pure and applied mathematics. 1963 edition. Includes 121 figures.


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Vector Methods Applied to Differential Geometry, Mechanics, and Potential TheoryVector Methods Applied to Differential Geometry, Mechanics, and Potential Theory 
by D. E. Rutherford
This text offers both a clear view of the abstract theory as well as a concise survey of the theory's applications to various branches of pure and applied mathematics. 1957 edition.


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Vector AnalysisVector Analysis 
by Homer E. Newell, Jr.
This text combines the logical approach of a mathematical subject with the intuitive approach of engineering and physical topics. Applications include kinematics, mechanics, and electromagnetic theory. Includes exercises and answers. 1955 edition.


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Products in Vectors, Tensors, Spinors
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About VectorsAbout Vectors
by Banesh Hoffmann
No calculus needed, but this is not an elementary book. Introduces vectors, algebraic notation and basic ideas, vector algebra and scalars. Includes 386 exercises.



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Cartesian Tensors: An IntroductionCartesian Tensors: An Introduction
by G. Temple
This undergraduate-level text provides an introduction to isotropic tensors and spinor analysis, with numerous examples that illustrate the general theory and indicate certain extensions and applications. 1960 edition.



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Introduction to Vector and Tensor AnalysisIntroduction to Vector and Tensor Analysis
by Robert C. Wrede
Examines general Cartesian coordinates, the cross product, Einstein's special theory of relativity, bases in general coordinate systems, maxima and minima of functions of 2 variables, line integrals, integral theorems, more.



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Matrix Vector AnalysisMatrix Vector Analysis
by Richard L. Eisenman
This outstanding text and reference for upper-level undergraduates features extensive problems and solutions in its application of matrix ideas to vector methods for a synthesis of pure and applied mathematics. 1963 edition. Includes 121 figures.



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Tensor Analysis on ManifoldsTensor Analysis on Manifolds
by Richard L. Bishop, Samuel I. Goldberg
Proceeds from general to special, including chapters on vector analysis on manifolds and integration theory.



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Tensor CalculusTensor Calculus
by J. L. Synge, A. Schild
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.




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Tensors, Differential Forms, and Variational PrinciplesTensors, Differential Forms, and Variational Principles
by David Lovelock, Hanno Rund
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.


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The Theory of SpinorsThe Theory of Spinors
by Élie Cartan
Describes orthgonal and related Lie groups, using real or complex parameters and indefinite metrics. Develops theory of spinors by giving a purely geometric definition of these mathematical entities.


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Vector AnalysisVector Analysis
by Louis Brand
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.



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Vector AnalysisVector Analysis
by Homer E. Newell, Jr.
This text combines the logical approach of a mathematical subject with the intuitive approach of engineering and physical topics. Applications include kinematics, mechanics, and electromagnetic theory. Includes exercises and answers. 1955 edition.



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Vector Methods Applied to Differential Geometry, Mechanics, and Potential TheoryVector Methods Applied to Differential Geometry, Mechanics, and Potential Theory
by D. E. Rutherford
This text offers both a clear view of the abstract theory as well as a concise survey of the theory's applications to various branches of pure and applied mathematics. 1957 edition.



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Vector and Tensor Analysis with ApplicationsVector and Tensor Analysis with Applications
by A. I. Borisenko, I. E. Tarapov
This text explores the concept of tensor and algebraic operations on tensors. Also includes a study of the differential and integral calculus of vector and tensor functions of space and time, more. Problems with solutions.



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Vectors and Their ApplicationsVectors and Their Applications
by Anthony J. Pettofrezzo
Geared toward undergraduate students, this text illustrates the use of vectors as a mathematical tool in plane synthetic geometry, plane and spherical trigonometry, and analytic geometry of 2- and 3-dimensional space.



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