Books in the Dover Books on Mathematics series

This first-year calculus book is centered around the use of infinitesimals rather than the epsilon-delta approach. It contains all the ordinary calculus topics, including approximation problems, vectors, partial derivatives, and multiple integrals. 2007 edition.

Introductory treatment covers basic theory of vector spaces and linear maps - dimension, determinants, eigenvalues, and eigenvectors - plus more advanced topics such as the study of canonical forms for matrices. 1992 edition.

Suitable for college courses, this introductory text covers the language of mathematics, geometric sets of points, separation and angles, triangles, parallel lines, similarity, polygons and area, circles, and space and coordinate geometry. 1974 edition.

Presented in 1962-63 by experts at University College, London, these lectures offer a variety of perspectives on graph theory. Although the opening chapters form a coherent body of graph theoretic concepts, this volume is not a text on the subject but rather an introduction to the extensive literature of graph theory. The seminar's topics are geared toward advanced undergraduate students of mathematics.Lectures by this volume's editor, Frank Harary, include Some Theorems and Concepts of Graph Theory, Topological Concepts in Graph Theory, Graphical Reconstruction, and other introductory talks. A series of invited lectures follows, featuring presentations by other authorities on the faculty of University College as well as visiting scholars. These include Extremal Problems in Graph Theory by Paul Erdös, Complete Bipartite Graphs: Decomposition into Planar Subgraphs, by Lowell W. Beineke, Graphs and Composite Games, by Cedric A .B. Smith, and several others.Dover (2015) republication of the edition published by Holt, Rinehart & Winston, Inc., New York, 1967.See every Dover book in print atwww.doverpublications.com