Tensor Analysis / Edward Nelson.

Format:

Book

Author/Creator:

Nelson, Edward, author.

Series:

Princeton legacy library.

Princeton Legacy Library ; 2391

Language:

English

Subjects (All):

Calculus of tensors.

Physical Description:

1 online resource (134 p.)

Place of Publication:

Princeton, NJ : Princeton University Press, [2015]

Language Note:

In English.

Summary:

These notes are based on a course of lectures given by Professor Nelson at Princeton during the spring term of 1966. The subject of Brownian motion has long been of interest in mathematical probability. In these lectures, Professor Nelson traces the history of earlier work in Brownian motion, both the mathematical theory, and the natural phenomenon with its physical interpretations. He continues through recent dynamical theories of Brownian motion, and concludes with a discussion of the relevance of these theories to quantum field theory and quantum statistical mechanics.Originally published in 1967.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Contents:

Preface

CONTENTS

§1. Multilinear algebra

§2. Derivations on scalars

§3. Derivations on tensors

§4. The exterior derivative

§5. Covariant differentiation

§6. Holonomy

§7. Riemannian metrics

§8. Symplectic structures

§9. Complex structures

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

0-691-64974-X

1-4008-7923-X

OCLC:

953601375