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The Absolute Differential Calculus

The Absolute Differential Calculus
Author: Tullio Levi-Civita
Publisher:
Total Pages: 476
Release: 1927
Genre: Calculus of tensors
ISBN:

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The Absolute Differential Calculus (Calculus of Tensors)

The Absolute Differential Calculus (Calculus of Tensors)
Author: Tullio Levi-Civita
Publisher: Courier Corporation
Total Pages: 482
Release: 2013-07-24
Genre: Mathematics
ISBN: 0486316254

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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.


Tensor Calculus and Analytical Dynamics

Tensor Calculus and Analytical Dynamics
Author: John G. Papastavridis
Publisher: Routledge
Total Pages: 435
Release: 2018-12-12
Genre: Mathematics
ISBN: 1351411624

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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

Tensor Calculus
Author: J. L. Synge
Publisher: Courier Corporation
Total Pages: 340
Release: 2012-04-26
Genre: Mathematics
ISBN: 048614139X

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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.


Applications of the Absolute Differential Calculus

Applications of the Absolute Differential Calculus
Author: A. J. McConnell
Publisher: Chapman Press
Total Pages: 330
Release: 2012-06
Genre: Mathematics
ISBN: 9781447457749

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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.


Tensors, Differential Forms, and Variational Principles

Tensors, Differential Forms, and Variational Principles
Author: David Lovelock
Publisher: Courier Corporation
Total Pages: 402
Release: 2012-04-20
Genre: Mathematics
ISBN: 048613198X

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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.