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. Unabridged republication of the edition published by Ginn and Company, 1909.
Continuous Groups of Transformations by Luther Pfahler Eisenhart Intensive study of theory and geometrical applications of continuous groups of transformations features discussions of tensor analysis, Riemannian geometry, and applications of theory of continuous groups to modern physics. 1933 edition.
Differential Geometry by Erwin Kreyszig 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.
Introduction to Differentiable Manifolds by Louis Auslander, Robert E. MacKenzie This text presents basic concepts in the modern approach to differential geometry. Topics include Euclidean spaces, submanifolds, and abstract manifolds; fundamental concepts of Lie theory; fiber bundles; and multilinear algebra. 1963 edition.
Development of the Minkowski Geometry of Numbers Volume 1 by Harris Hancock This classic two-volume work focuses primarily on geometric problems involving integers and algebraic problems approachable through geometrical insights. Demonstrates simplicity and elegance of number theory proofs and many other related topics.
Coordinate Geometry by Luther Pfahler Eisenhart This volume affords exceptional insights into coordinate geometry. Covers invariants of conic sections and quadric surfaces; algebraic equations on the 1st degree in 2 and 3 unknowns; and more. Over 500 exercises. 1939 edition.