Latest Free Math Books 5


Mathematical Illustrations

Mathematical Illustrations

This practical introduction to the techniques needed to produce high-quality mathematical illustrations is suitable for anyone with basic knowledge of coordinate geometry. This practical introduction to the techniques needed to produce high-quality mathematical illustrations is suitable for anyone with basic knowledge of coordinate geometry.

Complex Analysis

This is free a textbook for an introductory course in complex analysis. Complex Analysis by George Cain can be downloaded in pdf format free of charge. It has been used for undergraduate complex analysis course at Georgia Tech and at a few other places.

A Problem Course in Mathematical Logic

A Problem Course in Mathematical Logic is intended to serve as the text for an introduction to mathematical logic for undergraduates with some mathematical sophistication. It supplies definitions, statements of results, and problems, along with some explanations, examples, and hints.

A First Course in Linear Algebra

A First Course in Linear Algebra

A First Course in Linear Algebra is an introductory textbook designed for university sophomores and juniors. Typically such a student will have taken calculus, but this is not a prerequisite.

Rough Set Data Analysis: A Round to Noninvasive Knowledge Discovery

Rough Set Data Analysis: A Round to Noninvasive Knowledge Discovery

This is not the first book on rough set analysis and certainly not the first book on knowledge discovery algorithms, but it is the first attempt to do this in a non-invasive way. In this book the authors present an overview of the work they have done in the past seven years on the foundations and details of data analysis.

Complex Variables

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. Most of the topics of the original edition have been retained, but in a number ofinstances the material has been reworked so as to incorporate alternative approaches to these topics that have appeared in the mathematical literature in recent years.

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

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.


Latest Free Math Books 4

Difference Equations to Differential Equations

Difference Equations to Differential Equations: An introduction to calculus by Dan Sloughter is available in pdf format for free. Thorough, relatively concise calculus text. Includes many examples, graphs, and problems.

The Calculus of Functions of Several Variables

The Calculus of Functions of Several Variables by Dan Sloughter is available in pdf format for free. In your first exposure to calculus, the primary focus of your attention was on functions involving a single independent variable and a single dependent variable.

Multivariable Calculus

Multivariable Calculus by George Cain & James Herod. Download it in pdf format.

Elementary Number Theory

Elementary Number Theory

Free eBook “Elementary Number Theory: Primes, Congruences, and Secrets: A Computational Approach” by William Stein. This is a textbook about classical elementary number theory and elliptic curves. The first part discusses elementary topics such as primes, factorization, continued fractions, and quadratic forms, in the context of cryptography, computation, and deep open research problems.

Mathematics for the Physical Sciences

Mathematics for the Physical Sciences

This free book offers advanced undergraduates and graduate students in physics, engineering, and other natural sciences a solid foundation in several fields of mathematics. Clear and well-written, it assumes a previous knowledge of the theory of functions of real and complex variables, and it is ideal for classroom use, self-study, or as a supplementary text.

Linear Algebra

Linear Algebra

This is a free algebra book. It covers an undergraduate first course, with a prerequisite of Calculus I. You can use it either as a main text, or as a supplement to another text, or for independent study. This book helps students to master the material of a standard US undergraduate linear algebra course.

A Computational Introduction to Number Theory and Algebra

A Computational Introduction to Number Theory and Algebra

A book introducing basic concepts from computational number theory and algebra, including all the necessary mathematical background. This book can be downloaded in pdf format.

Convex Optimization

Convex Optimization

This concisely writen book is useful in many regards: as a primary textbook for convex optimization with engineering applications or as an alternate text for a more traditional course on linear or nonlinear optimization. Convex optimization problems arise frequently in many different fields. A comprehensive introduction to the subject, this book shows in detail how such problems can be solved numerically with great efficiency.

Algorithms and Complexity

Algorithms and Complexity

This free classic text provides the perfect introduction to the tools of algorithmic design and analysis, concentrating on basic principles and illustrating them with well-chosen paradigms. An algorithm is a method for solving a class of problems on a computer.

Graph Theory

Graph Theory

In this fourth edition there are few substantial additions of new material, but many improvements. As with previous new editions, there are countless small and subtle changes to further elucidate a particular argument or concept. When prompted by reader feedback, for which I am always grateful, I still try to recast details that have been found harder than they should be. These can be very basic; a nice example, this time, is the definition of a minor
in Chapter 1.

Latest Free Math Books 3

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.

Latest Free Math Books 2


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

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

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

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.

Introduction to Vectors and Tensors, Vol. 1, Linear and Multilinear Algebra

Introduction to Vectors and Tensors, Vol. 1, Linear and Multilinear Algebra

Introduction to Vectors and Tensors, Vol. 1, Linear and Multilinear Algebra” by Ray M. Bowen and C.-C. Wang can be downloaded in pdf format. Geared toward engineering and science students rather than mathematicians, its less rigorous treatment focuses on physics and engineering applications. A practical reference for professionals, it is suitable for advanced undergraduate and graduate students.

Non-Uniform Random Variate Generation

Non-Uniform Random Variate Generation

Free book “Non-Uniform Random Variate Generation” by Luc Devroye. You can download the each chapter in pdf format.

Handbook of Mathematical Functions

Handbook of Mathematical Functions

Free book “Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables” by Milton Abramowitz and Irene A. Stegun. Students and professionals in the fields of mathematics, physics, engineering, and economics will find this reference work invaluable. A classic resource for working with special functions, standard trig, and exponential logarithmic definitions and extensions, it features 29 sets of tables, some to as high as 20 places.

Basic Topology of 3-Manifolds

Basic Topology of 3-Manifolds

Free book “Basic 3-Manifold Topology” by Allen Hatcher can be downloaded in pdf and postscript formats. The three chapters here are to a certain extent independent of each other. The main exceptions are that the beginning of Chapter 1 is a prerequisite for almost everything else, while some of the later parts of Chapter 1 are used in Chapter 2.

Spectral Sequences in Algebraic Topology

Spectral Sequences in Algebraic Topology

This is intended to be a readable introduction to spectral sequences, with emphasis on their applications to algebraic topology.

Numerical Recipes in Fortran 90

Numerical Recipes in Fortran 90

You can download the each chapter of this free book “Numerical Recipes in Fortran 90: The Art of Scientific Computing” in pdf format.

Vector Bundles & K-Theory

Vector Bundles & K-Theory

The plan is for this to be a fairly short book focusing on topological K-theory and containing also the necessary background material on vector bundles and characteristic classes.

Latest Free Math Books


Probability and Statistics Cookbook

Probability and Statistics Cookbook

“Probability and Statistics Cookbook”, by Matthias Vallentin, contains a succinct representation of various topics in probability theory and statistics. It provides a comprehensive reference reduced to the mathematical essence, rather than aiming for elaborate explanations.

Sets, Relations, Functions

Sets, Relations, Functions

This free book gives a gentle introduction to the set theoretic tools needed by anyone who comes into contact with modern Mathematics.

Numerical Recipes in Fortran 77

Numerical Recipes in Fortran 77

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.

Introduction to Matrix Algebra

Introduction to Matrix Algebra

This free 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.

Geometry & Topology Monographs

The Geometry & Topology Monographs series is intended for research monographs, for refereed conference proceedings and for similar collections. The purpose of Geometry & Topology is the advancement of mathematics. Editors evaluate submitted papers strictly on the basis of scientific merit, without regard to authors’ nationality, country of residence, institutional affiliation, sex, ethnic origin, or political views.

Group Theory

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

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

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

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

Calculus

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

دانلود بیش از 30 کتاب به زبان انگلیسی

Want to gain a better understanding of mathematics with free textbooks? Our free math books provide answers to questions, for example, about mathematical models and concepts, limit value or engineering mathematics.