Books in the Dover Books on Mathematics series

Relations between groups and sets, results and methods of abstract algebra in terms of number theory and geometry, and noncommutative and homological algebra. Solutions. 2006 edition.

This text forms a bridge between courses in calculus and real analysis. Suitable for advanced undergraduates and graduate students, it focuses on the construction of mathematical proofs. 1996 edition.

This book covers an extensive range of topics, including round-off and function evaluation, real zeros of a function, integration, ordinary differential equations, optimization, orthogonal functions, Fourier series, and much more. 1989 edition.

This text is designed for those who wish to study mathematics beyond linear algebra but are not ready for abstract material. Rather than a theorem-proof-corollary-remark style of exposition, it stresses geometry, intuition, and dynamical systems. 1996 edition.

Two-part treatment discusses coordinates of points on a line, coordinates of points in a plane, coordinates of points in space, and peculiarities of four-dimensional space. Abundance of ingenious problems.

Suitable for introductory graduate-level courses and independent study, this text explores major themes of universal algebra: subdirect decompositions, direct decompositions, free algebras, and varieties of algebra. Includes problems and a bibliography. 1968 edition.