Riemannian Geometry / Luther Pfahler Eisenhart.

Format:

Book

Author/Creator:

Eisenhart, Luther Pfahler, 1876-1965, author.

Series:

Princeton landmarks in mathematics and physics.

Princeton Landmarks in Mathematics and Physics

Language:

English

Subjects (All):

Geometry, Differential.

Riemann surfaces.

Physical Description:

1 online resource (320 p.)

Place of Publication:

Princeton, NJ : Princeton University Press, [2016]

Language Note:

In English.

Summary:

In his classic work of geometry, Euclid focused on the properties of flat surfaces. In the age of exploration, mapmakers such as Mercator had to concern themselves with the properties of spherical surfaces. The study of curved surfaces, or non-Euclidean geometry, flowered in the late nineteenth century, as mathematicians such as Riemann increasingly questioned Euclid's parallel postulate, and by relaxing this constraint derived a wealth of new results. These seemingly abstract properties found immediate application in physics upon Einstein's introduction of the general theory of relativity. In this book, Eisenhart succinctly surveys the key concepts of Riemannian geometry, addressing mathematicians and theoretical physicists alike.

Contents:

Frontmatter

Preface

Contents

Chapter I. Tensor analysis

Chapter II. Introduction of a metric

Chapter III. Orthogonal ennuples

Chapter IV. The geometry of sub-spaces

Chapter V. Sub-spaces of a flat space

Chapter VI. Groups of motions

Appendices

Bibliography

Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

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

ISBN:

1-4008-8421-7

OCLC:

953848358