100 great problems of elementary mathematics
Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge and other greats, ready to challenge today’s would-be problem solvers. Among them: How is a sundial constructed? How can you calculate the logarithm of a given number without the use o...
A combinatorial introduction to topology
Excellent text for upper-level undergraduate and graduate students shows how geometric and algebraic ideas met and grew together into an important branch of mathematics. Lucid coverage of vector fields, surfaces, homology of complexes, much more. Some ...
A concise history of mathematics
Revised 4th edition covers major mathematical ideas and techniques from ancient Near East to 20th-century computer theory. Work of Archimedes, Pascal, Gauss, Hilbert, etc.
A course in mathematical analysis
édouard Goursat's three-volume A Course in Mathematical Analysis remains a classic study and a thorough treatment of the fundamentals of calculus. As an advanced text for students with one year of calculus, it offers an exceptionally lucid exposition. ...
A first course in numerical analysis
Outstanding text treats numerical analysis with mathematical rigor, but relatively few theorems and proofs. Oriented toward computer solutions of problems, it stresses errors in methods and computational efficiency. Problems―some strictly mathematical,...
A first course in partial differential equations with complex variables and transform methods
Text presents the general properties of partial differential equations such as characteristics, domains of independence and maximum principles. Solutions.
A history of elementary mathematics
This comprehensive survey for upper-level undergraduates and graduate students begins by tracing the development of arithmetic, algebra, geometry, and trigonometry in ancient Egypt, Greece, and Rome. The second part explores the influence of Hindu and ...
A history of geometrical methods
Full and authoritative, this history of the techniques for dealing with geometric questions begins with synthetic geometry and its origins in Babylonian and Egyptian mathematics; reviews the contributions of China, Japan, India, and Greece; and discuss...
A history of Japanese mathematics
One of the first books to show Westerners the nature of Japanese mathematics, this survey highlights the leading features in the development of the wasan, the Japanese system of mathematics. Topics include the use of the soroban, or abacus; the applica...
A history of the progress of the calculus of variations during the nineteenth century
Accurate and complete, this classic volume surveys a century of progress in the calculus of variations. More than mere introductions to a variety of treatises and memoirs, the author provides numerous remarks, criticisms, and corrections that clarify i...
A manual of Greek mathematics
This concise but thorough history encompasses the enduring contributions of the ancient Greek mathematicians whose works form the basis of most modern mathematics. Written by a distinguished scholar and mathematician, the well-written, nontechnical tex...
A second course in elementary differential equations
Focusing on applicable rather than applied mathematics, this versatile text is appropriate for advanced undergraduates majoring in any discipline. A thorough examination of linear systems of differential equations inaugurates the text, reviewing concep...
A short course in discrete mathematics
What sort of mathematics do I need for computer science? In response to this frequently asked question, a pair of professors at the University of California at San Diego created this text. Its sources are two of the university's most basic courses: Dis...
A short history of Greek mathematics
Authoritative and highly readable, this volume focuses on the contributions of major figures, and also explores fascinating aspects of works by lesser-known scholars. Mathematicians will find accounts here of every extant Greek mathematical book and ma...
A treatise on algebraic plane curves
This classic text offers advanced students a detailed, through introduction and background to the theory of algebraic plane curves and their relations to various fields of geometry and analysis. It is almost entirely confined to the properties of the g...
A treatise on plane and advanced trigonometry
This account of the theory of the circular functions and their applications to plane trigonometry will prove especially valuable to students who intend to proceed further in the study of analysis. Starting with the measurement of angular magnitude and ...
A treatise on probability
With this treatise, an insightful exploration of the probabilistic connection between philosophy and the history of science, the famous economist breathed new life into studies of both disciplines. Originally published in 1921, this important mathemati...
A treatise on the calculus of finite differences
Written by a great English mathematician, this classic text begins with the differences of elementary functions and explores interpolation, mechanical quadrature, finite integration, and the summation of series. Several useful tests for the convergence...
A treatise on the differential geometry of curves and surfaces
Created especially for graduate students, this introductory treatise on differential geometry offers an unusually detailed and concrete approach. Chapter I, devoted to the theory of space curves, covers parametric equations, tangents to a curve, oscula...
A treatise on the theory of determinants
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 begins with the basic elements of permutations and combinations and sets d...