You can download the each chapter of this free book **“Numerical Recipes in FORTRAN 77: The Art of Scientific Computing”** in pdf format. This book, like its predecessor edition, is supposed to teach you methods of numerical computing that are practical, efficient, and (insofar as possible) elegant.

# Free Math eBooks - Page 5

## Numerical Recipes in Fortran 77

## Introduction to Matrix Algebra

This book is written primarily for students who are at freshman level or do not take a full 3-credit hour course in Linear/Matrix Algebra, or are wanting a contemporary and applied approach to Matrix Algebra. Eight individual chapters (without exercise sets) of the book in pdf form are available free of charge.

## Group Theory

Group Theory by Predrag Cvitanovic can be downloaded in pdf and postscript formats free of charge. If classical Lie groups preserve bilinear vector norms, what Lie groups preserve trilinear, quadrilinear, and higher order invariants? Answering this question from a fresh and original perspective, Predrag Cvitanovic takes the reader on the amazing, four-thousand-diagram journey through the theory of Lie groups. This book is the first to systematically develop, explain, and apply diagrammatic projection operators to construct all semi-simple Lie algebras, both classical and exceptional.

## generatingfunctionology

You can download **“generatingfunctionology”** by Herbert S. Wilf in pdf format free of charge. The generatingfunctionology is one of the best mathematics books ever written. Generating functions, one of the most important tools in enumerative combinatorics, are a bridge between discrete mathematics and continuous analysis.

## An Introduction to the Theory of Numbers

This free book, which presupposes familiarity only with the most elementary concepts of arithmetic (divisibility properties, greatest common divisor, etc.), is an expanded version of a series of lectures for graduate students on elementary number theory. Topics include: Compositions and Partitions; Arithmetic Functions; Distribution of Primes; Irrational Numbers; Congruences; Diophantine Equations; Combinatorial Number Theory; and Geometry of Numbers.

## Mathematical Analysis I

This free ebook carefully leads the student through the basic topics of undergraduate real analysis. This text is appropriate for any undergraduate mathematics course in real analysis or mathematical analysis, or for a preparatory class for beginning mathematics graduate students who will later advance to courses in measure theory and functional analysis. Knowledge of this material will also be of benefit to graduate students in economics, signal and image processing, fluid and structural mechanics, etc.

## Calculus

Free pdf book Calculus by Gilbert Strang is a useful resource for educators and self-learners alike.

## Introduction to Vectors and Tensors, Vol. 2, Vector and Tensor Analysis

Introduction to Vectors and Tensors, Vol. 2, Vector and Tensor Analysis by Ray M. Bowen and C.-C. Wang can be downloaded in pdf format. This is the second volume of a two-volume work on vectors and tensors. Volume 1 is concerned with the algebra of vectors and tensors, while this volume is concerned with the geometrical aspects of vectors and tensors. This volume begins with a discussion of Euclidean manifolds.

## Basic Concepts of Mathematics

This book helps the student complete the transition from purely manipulative to rigorous mathematics. It spells out in all detail what is often treated too briefly or vaguely because of lack of time or space. It can be used either for sup-plementary reading or as a half-year course. It is self-contained, though usually the student will have had elementary calculus before starting it.

## A=B

Free Math book A=B is about identities in general, and hypergeometric identities in particular, with emphasis on computer methods of discovery and proof. The book describes a number of algorithms for doing these tasks.