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Tensor and Vector Analysis: With Applications to Differential Geometry

by C. E. Springer Dover Publications (August 29, 2013)

Assuming only a knowledge of basic calculus, this text's elementary development of tensor theory focuses on concepts related to vector analysis. The book also forms an introduction to metric differential geometry....

Vector Analysis

by Homer E. Newell Dover Publications (April 06, 2012)

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...

Matrix Vector Analysis

by Richard L. Eisenman Dover Publications (June 26, 2013)

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....

Vector Methods Applied to Differential Geometry, Mechanics, and Potential Theory

by D. E. Rutherford Dover Publications (March 30, 2012)

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.

The Absolute Differential Calculus (Calculus of Tensors)

by Tullio Levi-Civita Dover Publications (June 26, 2013)

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...

Tensor Analysis on Manifolds

by Richard L. Bishop & Samuel I. Goldberg Dover Publications (March 29, 2012)

Proceeds from general to special, including chapters on vector analysis on manifolds and integration theory.

Introduction to Vector and Tensor Analysis

by Robert C. Wrede Dover Publications (January 02, 2013)

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...

Tensors, Differential Forms, and Variational Principles

by David Lovelock & Hanno Rund Dover Publications (March 23, 2012)

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....

Vector and Tensor Analysis with Applications

by A. I. Borisenko, I. E. Tarapov & Richard A. Silverman Dover Publications (July 31, 2012)

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...

Special Relativity and Classical Field Theory

by Leonard Susskind & Art Friedman Basic Books (September 25, 2017)

The third volume in the bestselling physics series cracks open Einstein's special relativity and field theory

Physicist Leonard Susskind and data engineer Art Friedman are back. This time, they introduce readers...

Concise Vector Analysis

by C. J. Eliezer Dover Publications (January 14, 2016)

This concise introduction to the methods and techniques of vector analysis is suitable for college undergraduates in mathematics as well as students of physics and engineering. Rich in exercises and examples,...