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Existence Theorems for Ordinary Differential Equations

by Francis J. Murray & Kenneth S. Miller Dover Publications (October 10, 2013)

This text examines fundamental and general existence theorems, along with uniqueness theorems and Picard iterants, and applies them to properties of solutions and linear differential equations. 1954 edition....

Differential Geometry

by Erwin Kreyszig Dover Publications (March 29, 2013)

An introductory textbook on the differential geometry of curves and surfaces in 3-dimensional Euclidean space, presented in its simplest, most essential form. With problems and solutions. Includes 99 illustrations....

Differential Manifolds

by Antoni A. Kosinski Dover Publications (June 04, 2013)

Introductory text for advanced undergraduates and graduate students presents systematic study of the topological structure of smooth manifolds, starting with elements of theory and concluding with method of...

Invariants of Quadratic Differential Forms

by Joseph Edmund Wright Dover Publications (September 23, 2013)

Classic monograph offers a brief account of the invariant theory connected with a single quadratic differential form. Includes historical overview; methods of Christoffel, Lie, Maschke; and geometrical, dynamical...

An Introduction to Differential Geometry

by T. J. Willmore Dover Publications (April 15, 2013)

This text employs vector methods to explore the classical theory of curves and surfaces. Topics include basic theory of tensor algebra, tensor calculus, calculus of differential forms, and elements of Riemannian...

Mathematical Foundations of Quantum Statistics

by A. Y. Khinchin Dover Publications (January 24, 2013)

A coherent, well-organized look at the basis of quantum statistics’ computational methods, the determination of the mean values of occupation numbers, the foundations of the statistics of photons and material...

A Treatise on the Differential Geometry of Curves and Surfaces

by Luther Pfahler Eisenhart Dover Publications (March 28, 2013)

Created especially for graduate students by a leading writer on mathematics, this introduction to the geometry of curves and surfaces concentrates on problems that students will find most helpful.

Differential Geometry

by Heinrich W. Guggenheimer Dover Publications (March 30, 2012)

This text contains an elementary introduction to continuous groups and differential invariants; an extensive treatment of groups of motions in euclidean, affine, and riemannian geometry; more. Includes exercises...

Lost in Math

by Sabine Hossenfelder Basic Books (June 11, 2018)

In this "provocative" book (New York Times), a contrarian physicist argues that her field's modern obsession with beauty has given us wonderful math but bad science.

Whether pondering black holes or predicting...

Special Relativity and Classical Field Theory

by Leonard Susskind & Art Friedman Basic Books (September 25, 2017)

A funny, insightful, and self-contained guide to Einstein's relativity theory and classical field theories--including electromagnetism

Physicist Leonard Susskind and data engineer Art Friedman are back. This...

The Penrose Transform

by Robert J. Baston & Michael G. Eastwood Dover Publications (October 28, 2016)

"Brings to the reader a huge amount of information, well organized and condensed into less than two hundred pages." — Mathematical Reviews

In recent decades twistor theory has become an important focus for...

Cohomology and Differential Forms

by Izu Vaisman Dover Publications (July 28, 2016)

This monograph explores the cohomological theory of manifolds with various sheaves and its application to differential geometry. Based on lectures given by author Izu Vaisman at Romania's University of Iasi,...

An Introductory Course on Differentiable Manifolds

by Siavash Shahshahani Dover Publications (March 23, 2017)

Based on author Siavash Shahshahani's extensive teaching experience, this volume presents a thorough, rigorous course on the theory of differentiable manifolds. Geared toward advanced undergraduates and graduate...

Differential Geometric Structures

by Walter A. Poor Dover Publications (March 30, 2015)

This introductory text defines geometric structure by specifying parallel transport in an appropriate fiber bundle and focusing on simplest cases of linear parallel transport in a vector bundle. 1981 edition....