WorldCat Identities

Eisenhart, Luther Pfahler 1876-1965

Overview
Works: 125 works in 563 publications in 5 languages and 7,477 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Author of introduction
Classifications: QA641, 513.7
Publication Timeline
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Most widely held works about Luther Pfahler Eisenhart
 
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Most widely held works by Luther Pfahler Eisenhart
An introduction to differential geometry, with use of the tensor calculus by Luther Pfahler Eisenhart( )

47 editions published between 1940 and 1964 in English and Undetermined and held by 1,928 WorldCat member libraries worldwide

Riemannian geometry by Luther Pfahler Eisenhart( Book )

101 editions published between 1925 and 2016 in 3 languages and held by 1,755 WorldCat member libraries worldwide

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
A treatise on the differential geometry of curves and surfaces by Luther Pfahler Eisenhart( Book )

67 editions published between 1900 and 2017 in English and held by 819 WorldCat member libraries worldwide

Created especially for graduate students, this introductory treatise on differential geometry has been a highly successful textbook for many years. Its unusually detailed and concrete approach includes a thorough explanation of the geometry of curves and surfaces, concentrating on problems that will be most helpful to students. 1909 edition.
Non-Riemannian geometry by Luther Pfahler Eisenhart( Book )

56 editions published between 1927 and 2012 in 4 languages and held by 752 WorldCat member libraries worldwide

Non-Riemannian Geometry deals basically with manifolds dominated by the geometry of paths developed by the author, Luther Pfahler Eisenhart, and Oswald Veblen, who were faculty colleagues at Princeton University during the early twentieth century. Eisenhart played an active role in developing Princeton's preeminence among the world's centers for mathematical study, and he is equally renowned for his achievements as a researcher and an educator. In Riemannian geometry, parallelism is determined geometrically by this property: along a geodesic, vectors are parallel if they make the same angle with the tangents. In non-Riemannian geometry, the Levi-Civita parallelism imposed a priori is replaced by a determination by arbitrary functions (affine connections). In this volume, Eisenhart investigates the main consequences of the deviation. Starting with a consideration of asymmetric connections, the author proceeds to a contrasting survey of symmetric connections. Discussions of the projective geometry of paths follow, and the final chapter explores the geometry of sub-spaces
Continuous groups of transformations by Luther Pfahler Eisenhart( Book )

51 editions published between 1933 and 2003 in 3 languages and held by 607 WorldCat member libraries worldwide

Coordinate geometry by Luther Pfahler Eisenhart( Book )

48 editions published between 1937 and 2005 in English and Undetermined and held by 556 WorldCat member libraries worldwide

Transformations of surfaces by Luther Pfahler Eisenhart( Book )

34 editions published between 1923 and 1992 in English and Italian and held by 517 WorldCat member libraries worldwide

The educational process by Luther Pfahler Eisenhart( Book )

7 editions published in 1945 in English and held by 204 WorldCat member libraries worldwide

Report of the Survey committee, Samuel Paul Capen, Luther Pfahler Eisenhart, Guy Stanton Ford. October, 1930 by Brown University( Book )

3 editions published in 1930 in English and held by 69 WorldCat member libraries worldwide

Riemannian geometry, by Luther Pfahler Eisenhart by Luther Pfahler Eisenhart( Book )

1 edition published in 1966 in English and held by 39 WorldCat member libraries worldwide

Introduction to differential geometry by Luther Pfahler Eisenhart( )

15 editions published between 1946 and 2016 in English and Chinese and held by 38 WorldCat member libraries worldwide

Annotation
Infinitesimal deformation of surfaces by Luther Pfahler Eisenhart( Book )

6 editions published in 1900 in English and held by 35 WorldCat member libraries worldwide

Contact transformations by Luther Pfahler Eisenhart( Book )

4 editions published in 1929 in English and held by 9 WorldCat member libraries worldwide

Introduction to Differential Geometry - With the Use of Tensor Calculus by Luther Pfahler Eisenhart( )

1 edition published in 2013 in English and held by 5 WorldCat member libraries worldwide

The tensor calculus of Euclidean 3-space is developed and then generalized so as to apply to a Riemannian space of any number of dimensions. After the invention of tensor calculus by Ricci, it was adopted by Einstein in his General Theory of Relativity
The Cambridge Colloquium, 1916( Book )

in English and held by 5 WorldCat member libraries worldwide

Historic Philadelphia : from the founding until the early nineteenth century ; papers dealing with its people and buildings with an ill. map( Book )

1 edition published in 1953 in English and held by 4 WorldCat member libraries worldwide

Transformation of surfaces by Luther Pfahler Eisenhart( Book )

2 editions published in 1962 in English and held by 4 WorldCat member libraries worldwide

Infinitesimal Deformation of Surfaces. Dissertation, etc by Luther Pfahler Eisenhart( Book )

2 editions published in 1900 in English and held by 3 WorldCat member libraries worldwide

Riemannian geometry. (Sixth printing.) by Luther Pfahler Eisenhart( Book )

1 edition published in 1966 in Undetermined and held by 3 WorldCat member libraries worldwide

An introduction to differential geometry whith use of the tensor calculus by Luther Pfahler Eisenhart( Book )

2 editions published between 1940 and 1964 in English and held by 3 WorldCat member libraries worldwide

 
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Riemannian geometry
Covers
A treatise on the differential geometry of curves and surfacesNon-Riemannian geometryContinuous groups of transformationsCoordinate geometryIntroduction to differential geometry
Alternative Names
Eisenhart, L. P.

Eisenhart, Luther P.

Eisenhart, Luther P. 1876-1965

Eisenhart, Luther Pfahler 1876-

Eisenhart, Luther Pfahler 1876-1965

Eisenhart, Luther Pfahler b. 1876

Eisenhart, Luther Pfahler dz. 1876

Eisenhart, Luther Phaler 1876-1965

Ėĭzenkhart, L. P. 1876-1965

Luther Eisenhart

Luther P. Eisenhart Amerikaans wiskundige (1876-1965)

Luther P. Eisenhart amerikansk matematikar

Luther P. Eisenhart amerikansk matematiker

Luther P. Eisenhart matemático estadounidense

Luther P. Eisenhart matematico statunitense

Luther P. Eisenhart mathématicien américain

Luther P. Eisenhart US-amerikanischer Mathematiker

Pfahler Eisenhart, Luther 1876-1965

Эйзенхарт Л.П.

아이센하르, L. P. 1876-1965

아이젠하트, L. P. 1876-1965

アイゼンハルト

アイゼンハルト, L. P

路德·艾森哈特

Languages