Discusses differential invariants of generalized spaces, including various discoveries in the field by Levi-Civita, Weyl, and the author himself, and theories of Schouten, Veblen, Eisenhart and others.
Wallis was one of the most original mathematicians of the seventeenth century and he left his mark on mathematics in many ways. He introduced arithmetical limits into mathematics (his famous infinite-product expression for $\pi$ is an example). This book presents his work.
Suitable for courses that are designed for students who intend to teach mathematics.
Presents the axiom systems of non-Euclidean geometry. This book states and proves theorem after theorem of (hyperbolic) non-Euclidean geometry.
In its simplest form, the Pfaff problem (formulated by Pfaff in 1819) consists of determining the maximal integrable manifold of a Pfaffian system, that is of a... Læs mere
Features two reports of the Committee on Rational Transformations.
Includes additional exercises by Paul Meyer.
Presents some of the significant developments in mathematics in the first half of the 20th Century. This book covers basic topological aspects and applications of Morse... Læs mere
Deals with the problem of evolution of a round oil spot surrounded by water when oil is extracted from a well inside the spot. This text... Læs mere
Based on the AMS Short Course, The Unreasonable Effectiveness of Number Theory, held in Orono, Maine, in August 1991, this work is suitable for a general... Læs mere
Aims to review briefly the classical results in the theory of random graphs and to present several of the developments in probabilistic combinatorics,... Læs mere
Offering an introduction to Berkovich analytic spaces and to potential theory and rational iteration on the Berkovich line, this book... Læs mere