Templates for the Solution of Algebraic Eigenvalue Problems

Templates for the Solution of Algebraic Eigenvalue Problems

This book gives a unified overview of theory, algorithms, and practical software for eigenvalue problems. It organizes this large body of material to make it accessible for the first time to the many nonexpert users who need to choose the best state-of-the-art algorithms and software for their problems.

The Complexity of Boolean Functions

The Complexity of Boolean Functions

This free book presents a large number of recent research results previously unavailable in book form. Initially deals with the wee-known computation models, and goes on to special types of circuits, parallel computers, and branching programs. Includes basic theory as well recent research findings. Each chapter includes exercises.

Mathematical Tools for Physics

Mathematical Tools for Physics

This book is for the undergraduate level, providing a one-semester bridge between some of the introductory math courses and the physics courses in which we expect to use the mathematics. This is the course typically called Mathematical Methods in Physics.

Worked examples in the Geometry of Crystals

Mathematical Crystallography

The free book deals with the mathematical crystallography of materials. It is intended for use by students and by anyone interested in phase transformations or interfaces.

Directions in Infinite Graph Theory and Combinatorics

This free online book consists of invited surveys of various fields of infinite graph theory and combinatorics, as well as a few research articles. It aims to give some indication of the variety of problems and methods found in this area, but also to help identify what may be seen as its typical features, placing it somewhere between finite graph theory on the one hand and logic and set theory on the other.

Inverse Problem Theory and Model Parameter Estimation

Inverse Problem Theory and Model Parameter Estimation

The use of actual observations to infer the properties of a model is an inverse problem, which are often difficult as they may not have a unique solution. This book proposes a general approach that is valid for linear as well as for nonlinear problems. The philosophy is essentially probabilistic and allows the reader to understand the basic difficulties appearing in the resolution of inverse problems.

Derivations of Applied Mathematics

Free book Derivations of Applied Mathematics is a book of applied mathematical proofs. If you have seen a mathematical result, if you want to know why the result is so, you can look for the proof here.

Linear Algebra, Infinite Dimensions, and Maple

Linear Algebra, Infinite Dimensions, and Maple can be downloaded free of charge in pdf format. These notes evolved in the process of teaching a beginning graduate course in Hilbert Spaces.

Elements of Abstract and Linear Algebra

This is a foundational textbook on abstract algebra with emphasis on linear algebra. You may download parts of the book or the entire textbook. It is provided free online in pdf format. This book is a survey of abstract algebra with emphasis on linear algebra. It is intended for students in mathematics, computer science, and the physical sciences.

The Geometry and Topology of Three-Manifolds

This is an electronic edition of the 1980 lecture notes distributed by Princeton University. It is available in pdf and postscript formats.