Intensive study of the theory and geometrical applications of continuous groups of transformations provides extended discussions of tensor analysis, Riemannian geometry and its generalizations, and the applications of the theory of continuous groups to modern physics. Includes 185 exercises. 1933 edition. Unabridged republication of the 1933 first edition.
Matrices and Transformations by Anthony J. Pettofrezzo Elementary, concrete approach: fundamentals of matrix algebra, linear transformation of the plane, application of properties of eigenvalues and eigenvectors to study of conics. Includes proofs of most theorems. Answers to odd-numbered exercises.
Matrices and Linear Transformations: Second Edition by Charles G. Cullen Undergraduate-level introduction to linear algebra and matrix theory. Explores matrices and linear systems, vector spaces, determinants, spectral decomposition, Jordan canonical form, much more. Over 375 problems. Selected answers. 1972 edition.
Theory of Continuous Groups by Charles Loewner These 14 lectures by a renowned educator focus on applications of continuous groups in geometry and analysis. Their unique perspectives are illustrated by numerous inventive geometric examples. 1971 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.
A Treatise on the Differential Geometry of Curves and Surfaces by Luther Pfahler Eisenhart 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.
