This classic introductory text, geared toward undergraduate students of mathematics, is the work of an internationally renowned authority on tensor calculus. The two-part treatment offers a rigorous presentation of tensor calculus as a development of vector analysis as well as discussions of the most important applications of tensor calculus. . . . . . . TOC: Part I: TENSOR CALCULUS: 1.) Vector spaces -- 2.) Affine Euclidean point spaces -- 3.) Tensor algebra -- 4.) Curvilinear coordinates in Euclidean space -- 5.) Riemannian spaces -- Part II: APPLICATIONS: 6.) Tensors calculus and classical dynamics -- 7.) Special relativity and Maxwell's Equations -- 8.) Elements of the relativistic theory of gravitation

Elements of Tensor Calculus

Science & Math

Lichnerowicz, André

Mathematics

Methuen; Wiley

"I found this most unusual book to be very stimulating. It really did achieve its objective of breaking academic barriers and showing how researchers in different disciplines are grappling with the same difficulties in using different conceptual and practicalmethodologies, and in explaining their results... I found many aspects of my own thinking about fluid mechanics and the philosophy of science changing as I read the book and discussed it with colleagues and friends." -- Julian C. R. Hunt, reviewing the French edition.

Chaos and Determinism: Turbulence as a Paradigm for Complex Systems Converging Toward Final States

Health, Fitness & Dieting

Guitton, Jean

Favre, Alexandre

Guitton, Henri

Psychology & Counseling

Johns Hopkins University Press

Our view of the world today is fundamentally influenced by twentieth century results in physics and mathematics. Here, three members of the French Academy of Sciences: Alain Connes, André Lichnerowicz, and Marcel Paul Schützenberger, discuss the relations among mathematics, physics and philosophy, and other sciences. Written in the form of conversations among three brilliant scientists and deep thinkers, the book touches on, among others, the following questions: 
Is there a "primordial truth" that exists beyond the realm of what is provable? More generally, is there a distinction between what is true in mathematics and what is provable? 
How is mathematics different from other sciences? How is it the same? Does mathematics have an "object" or an "object of study", the way physics, chemistry and biology do? 
Mathematics is a lens, through which we view the world. Connes, Lichnerowicz, and Schützenberger examine that lens, to understand how it affects what we do see, but also to understand how it limits what we can see. 
How does a well-informed mathematician view fundamental topics of physics, such as: quantum mechanics, general relativity, quantum gravity, grand unification, and string theory? 
What are the relations between computational complexity and the laws of physics? 
Can pure thought alone lead physicists to the right theories, or must experimental data be the driving force? How should we compare Heisenberg's arrival at matrix mechanics from spectral data to Einstein's arrival at general relativity through his thought experiments? 
The conversations are sprinkled with stories and quotes from outstanding scientists, which enliven the discourse. The book will make you think again about things that you once thought were quite familiar.

Triangle of Thought

Connes, Alain

Schützenberger, Marcel Paul

Amer Mathematical Society

Triangle de pensées

Reference

Foreign Language Study & Reference

JACOB

Eléments de calcul tensoriel

JACQUES GABAY

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