The Absolute Differential Calculus (Calculus of Tensors) (Dover Books on Mathematics)

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📘 Book Details

• Author: Tullio Levi-Civita

• Publisher: Dover

• Language: English, Italian

• Edition: New Edition

• ISBN: 9780486634012

• Number of Pages: 452

• Cover: Paperback

• Dimensions: 8.5 x 5.5 x 1.3 inches

• Illustrations: 4 Illustrations

📝 About the Book

Tullio Levi-Civita’s [Book Title], published by Dover, is a foundational text that explores the mathematical background essential for understanding relativity theory. Written by one of the foremost mathematicians of the twentieth century, this 452-page paperback edition, released on March 20, 2013, offers a rigorous and detailed examination of the mathematical principles underlying relativity, focusing on quadratic forms, absolute differential calculus, and their physical applications.

The book is divided into three key sections:

• Part One covers foundational topics such as functional determinants, matrices, systems of differential equations, and algebraic fundamentals. It provides a geometrical introduction to the theories necessary for studying relativity.

• Part Two dives deeper into covariant differentiation, Riemann’s symbols, curvature properties, and differential quadratic forms, exploring intrinsic geometry in the context of relativity.

• Part Three shifts focus to physical applications, discussing the key concepts of gravitational equations and the broader implications in general relativity.

Levi-Civita’s work is vital for students and professionals seeking a thorough, mathematically rigorous approach to the complex principles behind relativity theory. It provides not only the necessary mathematical tools but also the physical context that brings these ideas to life.