Description

Book Synopsis

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



Table of Contents
*Preface, pg. i*CONTENTS, pg. iii* 1. Multilinear algebra, pg. 1* 2. Derivations on scalars, pg. 25* 3. Derivations on tensors, pg. 37* 4. The exterior derivative, pg. 47* 5. Covariant differentiation, pg. 57* 6. Holonomy, pg. 79* 7. Riemannian metrics, pg. 89* 8. Symplectic structures, pg. 111* 9. Complex structures, pg. 117

Tensor Analysis

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    A Paperback by Edward Nelson

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      View other formats and editions of Tensor Analysis by Edward Nelson

      Publisher: Princeton University Press
      Publication Date: 2/12/2016 12:00:00 AM
      ISBN13: 9780691623047, 978-0691623047
      ISBN10: 069162304X
      Also in:
      Mathematics

      Description

      Book Synopsis

      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



      Table of Contents
      *Preface, pg. i*CONTENTS, pg. iii* 1. Multilinear algebra, pg. 1* 2. Derivations on scalars, pg. 25* 3. Derivations on tensors, pg. 37* 4. The exterior derivative, pg. 47* 5. Covariant differentiation, pg. 57* 6. Holonomy, pg. 79* 7. Riemannian metrics, pg. 89* 8. Symplectic structures, pg. 111* 9. Complex structures, pg. 117

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