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Ramanujan occupies a unique place in analytic number theory. His formulas, identities, and calculations are still amazing three-quarters of a century ...Savoir plus
Emphasizes the conceptual and historical continuity of analytic function theory. This book covers canonical topics including elliptic functions, entir...Savoir plus
Presents an introduction to the elements of topology, emphasizing the tools needed for understanding knots, the fundamental group and van Kampen's the...Savoir plus
Focuses on the successive construction and development of the basic number systems of mathematics: positive integers, integers, rational numbers, real...Savoir plus
Presents modern algebra from first principles. This title combines standard materials and necessary algebraic manipulations with general concepts that...Savoir plus
The influence of Ramanujan on number theory is without parallel in mathematics. This title presents his 37 published papers, most of his first two and...Savoir plus
The famous equation that bears Erwin Schroedinger's name encapsulates his profound contributions to quantum mechanics using wave mechanics. This third...Savoir plus
Focuses on the interaction between the curvature of a complete Riemannian manifold and its topology and global geometry. This title begins with an int...Savoir plus
Includes Gauss' number-theoretic works. This title provides papers that include a fourth, fifth, and sixth proof of the Quadratic Reciprocity Law, res...Savoir plus
Contains such topics as Symmetric Sets, Principle of Duality, most of the 'Algebra' of Sets, Partially Ordered Sets, Arbitrary Sets of Complexes, Norm...Savoir plus
This is a translation of Landau's famous Elementare Zahlentheorie with added exercises by Paul T. Bateman and Eugene E. Kohlbecker. This three-volume ...Savoir plus
Includes discussions of techniques of solving quadratic and cubic equations, as well as some discussion of fourth-order equations. This book covers to...Savoir plus
Covers groups of linear transformations, especially Fuchsian groups, fundamental domains, and functions that are invariant under the groups, including...Savoir plus
Presents Brownian motion and deals with stochastic integrals and differentials, including Ito lemma. This book is devoted to topics of stochastic inte...Savoir plus
Covers Diophantine analysis. Besides the familiar cases of Diophantine equations, this book also covers partitions, representations as a sum of two, t...Savoir plus
Based on notes from a course on set theory and metric spaces, this book incorporates numerous exercises from those notes. It includes an Appendix that...Savoir plus
Presents an account of matrix theory with a view to applications in mathematics, theoretical physics, statistics, and electrical engineering.Savoir plus
Starts with necessary information about matrices, algebras, and groups. This title then proceeds to representations of finite groups. It includes seve...Savoir plus
There is a deep and fundamental relationship between the differential equations that occur in the calculus of variations and partial differential equa...Savoir plus
Presents various theorems of the theory of sets along with complete proofs. This book discusses strengthening of theorems, the simplification of proof...Savoir plus
Based on lectures given by the author at the University of Chicago in 1956, this work covers such topics as recurrence, the ergodic theorems, and a ge...Savoir plus
Introduces the homotopy groups of spheres and takes the reader from the classical results in the field though the computational aspects of the classic...Savoir plus