Jerrold Marsden 
Vector Calculus [PDF ebook] 

This book discusses topics ranging from traditional areas of topology, such as knot theory and the topology of manifolds, to areas such as differential and algebraic geometry. It also discusses other …

Abstract Algebra: A Gentle Introduction advantages a trend in mathematics textbook publishing towards smaller, less expensive and brief introductions to primary courses. The authors move away from th …

Optimal control deals with the problem of finding a control law for a given system such that a certain optimality criterion is achieved. An optimal control is a set of differential equations describi …

Finite Geometries stands out from recent textbooks about the subject of finite geometries by having a broader scope. The authors thoroughly explain how the subject of finite geometries is a central p …

First published in 1982. These lectures are in two parts. Part I, entitled injective Modules Over Levitzki Rings , studies an injective module E and chain conditions on the set A^(E, R) of right idea …

This book attempts to put together the works of a wide range of mathematical scientists. It consists of the proceedings of the Seventh Conference on ‘Nonlinear Analysis and Applications’ including pa …

Research in mathematics is much more than solving puzzles, but most people will agree that solving puzzles is not just fun: it helps focus the mind and increases one”s armory of techniques for doing …

Prime numbers have fascinated mathematicians since the time of Euclid. This book presents some of our best tools to capture the properties of these fundamental objects, beginning with the most basic …

Applied topology is a modern subject which emerged in recent years at a crossroads of many methods, all of them topological in nature, which were used in a wide variety of applications in classical m …