One of the few comprehensive single-volume treatments of determinants, this compilation features nearly all of the known facts about determinants up to the early 1930s. The text explores permutations and combinations; general principles of simple determinants; compound determinants; co-factors; adjugates; rectangular arrays and matrices; linear dependence; more. Includes 485 problems, plus numerous examples. 1933 edition.
Unabridged republication of the revised 1933 edition. Revised and enlarged by William H. Metzler.
The Skeleton Key of Mathematics: A Simple Account of Complex Algebraic Theories by D. E. Littlewood Straightforward explanation of abstract principles common to science and math, including Euclid's algorithm; congruences; polynomials; complex numbers and algebraic fields; algebraic integers, ideals, and p-adic numbers; groups; Galois theory; algebraic geometry; more.
Fundamental Concepts of Algebra by Bruce E. Meserve Presents the fundamental concepts of algebra illustrated by numerous examples, and in many cases, suitable sequences of exercises — without solutions. Preface. Index. Bibliography. 39 figures.
A History of the Progress of the Calculus of Variations During the 19th Century by I. Todhunter This classic offers more than mere introductions to a variety of treatises and memoirs; it provides numerous remarks, criticisms, and corrections that clarify important developments in mathematical history. 1861 edition.