This is a student-oriented text covering the standard first year graduate course in complex variables. Solutions to all problems are included. This book represents a substantial revision of the first edition which was published in 1971. …
A Course In Commutative Algebra
Commutative algebra is the theoretical foundation of algebraic geometry and algebraic number theory. Assuming as prerequisite a standard graduate algebra course, we attempt to reach an advanced level quickly and efficiently. …
A Course In Algebraic Number Theory
This is an introduction to the subject, covering both global and local fields. The prerequisite is a standard graduate course in algebra. …
Abstract Algebra: The Basic Graduate Year
This is a student-oriented text covering the standard first year graduate course in algebra. Solutions to all problems are included and some of the reasoning is informal. …
Algebraic Topology
This free introductory text is suitable for use in a course on the subject or for self-study, featuring broad coverage and a readable exposition, with many examples and exercises. …
Graph Theory with Applications
Free online book “Graph Theory with Applications” by J. A. Bondy and U. S. R. Murty. This book is intended as an introduction to graph theory. Our aim has been to present what we consider to be the basic material, together with a wide variety of applications, both to other branches of mathematics and to real-world problems. Included are simple new proofs of theorems of Brooks, Chvatal, Tutte and Vizing. …
Calculus for Beginners and Artists
This online textbook provides an overview of Calculus in clear, easy to understand language designed for the non-mathematician. Calculus is the study of how things change. It provides a framework for modeling systems in which there is change, and a way to deduce the predictions of such models. …
Elementary Calculus: An Approach Using Infinitesimals
This is a calculus textbook at the college Freshman level based on Abraham Robinson’s infinitesimals, which date from 1960. Robinson’s modern infinitesimal approach puts the intuitive ideas of the founders of the calculus on a mathematically sound footing, and is easier for beginners to understand than the more common approach via limits. …
Free Online Book: Calculus
This short introductory text focuses mainly on integration and differentiation of functions of a single variable, although iterated integrals are discussed. …
Elementary Algebra with Applications
Free pdf book Elementary Algebra with Applications is a begining level text designed specifically for students who have not had a previous course in algebra. …