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This page lists freely downloadable books.

# Applied Mathematics

E-Books for free online viewing and/or download

## subcategories

**Computer Mathematics** (23)

**Dynamical Systems Theory** (36)

**Optimization** (17)

## see also

**Mathematical Physics** (58)

**Econometrics** (28)

**Game Theory** (17)

**Numerical Analysis** (34)

## e-books in this category

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**Inverse Problems and Applications: Inside Out II**

by **Gunther Uhlmann (ed.)** - **Cambridge University Press** , **2013**

The book describes recent developments in inverse problems and imaging, including hybrid or couple-physics methods arising in medical imaging, Calderon's problem and electrical impedance tomography, inverse problems arising in global seismology, etc.

(**1128** views)

**Computational Modeling and Mathematics Applied to the Physical Sciences**

- **National Academy Press** , **1984**

We examine several deep theoretical problems, including turbulence and combustion. At the frontiers of attack on these problems we discover the limitations imposed by our current understanding of model formulation and computational capability.

(**1506** views)

**Mathematics and Music**

by **David Wright** - **Washington University in St. Louis** , **2009**

This book is an investigation of the interrelationships between mathematics and music, reviewing the needed concepts in each subject as they are encountered. Along the way, readers will augment their understanding of both mathematics and music.

(**1761** views)

**Business Mathematics: A Textbook**

by **Edward I. Edgerton, Wallace E. Bartholomew** - **The Ronald Press Co.** , **1921**

The course in this book is much more advanced than the usual course in commercial arithmetic. The attempt has been made to construct a practical course which will contain all the essential mathematical knowledge required in a business career.

(**2957** views)

**Mathematics and Group Theory in Music**

by **Athanase Papadopoulos** - **arXiv** , **2014**

The purpose of this paper is to show through particular examples how group theory is used in music. Examples are chosen from the theoretical work and from the compositions of Olivier Messiaen, one of the most influential twentieth century composers.

(**1407** views)

**Interacting Particle Systems**

by **Stefan Grosskinsky** - **University of Warwick** , **2009**

Interacting particle systems (IPS) are models for complex phenomena involving a large number of interrelated components. Examples exist within all areas of natural and social sciences, such as traffic flow on highways, constituents of a cell, etc.

(**2957** views)

**On 2D Inverse Problems**

- **Wikibooks** , **2013**

This book is about the inverse problems that take its roots in medical imaging and similar imaging methods from geophysics. The study was motivated by the needs of non-destructive and non-intrusive methods for imaging of hidden objects.

(**1992** views)

**Intermediate Maths for Chemists**

by **J. E. Parker** - **Bookboon** , **2013**

This volume is the second of a three part series of texts taken during a first-year university course. Tutorial questions with fully worked solutions structured on a weekly basis to help the students to self-pace themselves are used.

(**3858** views)

**Introductory Maths for Chemists**

by **J. E. Parker** - **Bookboon** , **2013**

This volume teaches Maths from a 'chemical' perspective and is the first of a three part series of texts taken during a first-year university course. It is the Maths required by a Chemist, or Chemical Engineer, Chemical Physicist, Biochemist,...

(**4190** views)

**The Mathematics of Investment**

by **William L.Hart** - **D.C Heath and Company** , **1924**

This book provides an elementary course in the theory and the application of annuities certain and in the mathematical aspects of life insurance. The book is particularly adapted to the needs of students in colleges of business administration.

(**17884** views)

**Lectures On Approximation By Polynomials**

by **J.G. Burkill** - **Tata Institute of Fundamental Research** , **1959**

From the table of contents: Weierstrass's Theorem; The Polynomial of Best Approximation Chebyshev Polynomials; Approximations to abs(x); Trigonometric Polynomials; Inequalities, etc; Approximation in Terms of Differences.

(**3965** views)

**A Short Course on Approximation Theory**

by **N. L. Carothers** - **Bowling Green State University** , **2009**

The text is intended as a survey of elementary techniques in Approximation Theory for novices and non-experts. It is sufficient background to facilitate reading more advanced books on the subject. Prerequisites include a course in advanced calculus.

(**4537** views)

**Techniques of Applied Mathematics**

by **Andrew Fowler** - **University of Oxford** , **2005**

This course develops mathematical techniques which are useful in solving 'real-world' problems involving differential equations. The course embraces the ethos of mathematical modelling, and aims to show in a practical way how equations 'work'.

(**9428** views)

**Math Alive**

by **Ingrid Daubechies, Shannon Hughes** - **Princeton University** , **2008**

Designed for those who haven't had college mathematics but would like to understand some applications: Cryptography; Error correction and compression; Probability and Statistics; Birth, Growth, Death and Chaos; Graph Theory; Voting and Social Choice.

(**5943** views)

**Mathematical Linguistics**

by **Andras Kornai** - **Springer** , **2010**

The book introduces the mathematical foundations of linguistics to computer scientists, engineers, and mathematicians. The book presents linguistics as a cumulative body of knowledge from the ground up: no prior knowledge of linguistics is assumed.

(**8781** views)

**Mathematical Methods**

by **Mihir Sen, Joseph M. Powers** - **University of Notre Dame** , **2010**

Multidimensional calculus, linear analysis, linear operators, vector algebra, ordinary differential equations. Directed at first year graduate students in engineering and undergraduates who wish to become better prepared for graduate studies.

(**12332** views)

**Mathematical Biology**

by **Jeffrey R. Chasnov** - **The Hong Kong University of Science & Technology** , **2010**

This applied mathematics text is primarily for final year mathematics major and minor students. The main emphasis is on mathematical modeling, with biology the sole application area. It is assumed that students have no knowledge of biology.

(**8765** views)

**A Basic Course in Applied Mathematics**

by **J. Bystrom, L. Persson, F. Stromberg** - **Lulea University of Technology** , **2010**

Topics: dimensional analysis and scaling; perturbation methods; the calculus of variations; the theory of partial differential equations; Sturm-Liouville theory; transform theory with applications; Hamiltonian theory and isoperimetric problems; etc.

(**19657** views)

**Handbook of Mathematics for Engineers**

by **E. V. Huntington, L. A. Fischer** - **McGraw Hill** , **1918**

The Handbook contains, in compact form, accurate statements of those facts and formulas of mathematics which are likely to be useful to the worker in applied mathematics. It is thought to be more comprehensive than any other similar work in English.

(**14516** views)

**Applied Mathematics by Example**

by **Jeremy Pickles** - **BookBoon** , **2010**

This book approaches the subject from an oft-neglected historical perspective. A particular aim is to make accessible to students Newton's vision of a single system of law governing the falling of an apple and the orbital motion of the moon.

(**8643** views)

**A Mathematics Primer for Physics Graduate Students**

by **Andrew E. Blechman** , **2007**

The author summarizes most of the more advanced mathematical trickery seen in electrodynamics and quantum mechanics in simple and friendly terms with examples. Mathematical tools such as tensors or differential forms are covered in this text.

(**13895** views)

**Principles of Data Analysis**

by **Cappella Archive** - **Prasenjit Saha** , **2003**

This is a short book about the principles of data analysis. The emphasis is on why things are done rather than on exactly how to do them. If you already know something about the subject, then working through this book will deepen your understanding.

(**13167** views)

**Special Fuzzy Matrices for Social Scientists**

by **W. B. V. Kandasamy, F. Smarandache, K. Ilanthenral** - **InfoLearnQuest** , **2007**

This book introduces special classes of Fuzzy and Neutrosophic Matrices. These special classes of matrices are used in the construction of multi-expert special fuzzy models using FCM, FRM and FRE and their Neutrosophic analogues.

(**5344** views)

**Elementary Fuzzy Matrix Theory and Fuzzy Models for Social Scientists**

by **W. B. Vasantha Kandasamy, at al.** - **arXiv** , **2007**

This book aims to assist social scientists to analyze their problems using fuzzy models. The basic and essential fuzzy matrix theory is given. The authors have only tried to give those essential basically needed to develop the fuzzy model.

(**7336** views)

**Mathematics and Biology: The Interface, Challenges, and Opportunities**

by **Simon A. Levin** , **2008**

This report explores the interface between biology and mathematics. It argues that the stimulation of biological application will enrich the discipline of mathematics for decades or more, as have applications from the physical sciences in the past.

(**8667** views)

**Conformal Fractals: Ergodic Theory Methods**

by **F. Przytycki, M. Urbanski** - **Cambridge University Press** , **2009**

An introduction to the methods of ergodic theory applied to holomorphic iteration. The authors begin with introductory chapters presenting the necessary tools from ergodic theory thermodynamical formalism, and then focus on recent developments.

(**5774** views)

**Mathematics and Physics of Emerging Biomedical Imaging**

by **National Research Council** - **National Academies Press** , **1996**

This book documents the key research challenges in mathematics and physics that could enable the economical development of novel biomedical imaging devices. It introduces the frontiers of biomedical imaging to the educated nonspecialist.

(**7081** views)

**Inside Out: Inverse Problems and Applications**

by **Gunther Uhlmann** - **Cambridge University Press** , **2003**

In this book, experts in the theoretical and applied aspects of inverse problems offer extended surveys on important topics in the field, such as microlocal analysis, reflection seismology, tomography, inverse scattering, and X-ray transforms.

(**6646** views)

**Chebyshev and Fourier Spectral Methods**

by **John P. Boyd** - **Dover Publications** , **2001**

The text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, cardinal functions, etc.

(**10999** views)

**Voting, Arbitration & Fair Division: Mathematics of Social Choice**

by **Marcus Pivato** - **Trent University** , **2007**

An introduction to social choice theory, which uses mathematics to study the strengths/weaknesses of voting systems, arbitration schemes, and other methods of group decision making. Lots of pictures, requires only basic linear algebra.

(**9453** views)

**Linear Methods of Applied Mathematics**

by **Evans M. Harrell II, James V. Herod** , **2000**

This textbook is suitable for a first course on partial differential equations, Fourier series and special functions, and integral equations. The text concentrates on mathematical concepts rather than on details of calculations.

(**10358** views)

**Mathematical Methods of Engineering Analysis**

by **Erhan Cinlar, Robert J. Vanderbei** , **2000**

This text covers general notions regarding sets, functions, sequences, and series; metric spaces, convergence, continuity, approximations; functions on metric spaces; differential and integral equations; convex analysis; measure and integration.

(**13771** views)

**The Basics of Financial Mathematics**

by **Richard F. Bass** , **2003**

Lecture notes on mathematical finance - figuring out the price of options and derivatives. The text civers elementary probability, the binomial asset pricing model, advanced probability, the continuous model, and term structure models.

(**39018** views)

**Inverse Problem Theory and Methods for Model Parameter Estimation**

by **Albert Tarantola** - **SIAM** , **2004**

The first part deals with discrete inverse problems with a finite number of parameters, while the second part deals with general inverse problems. The book for scientists and applied mathematicians facing the interpretation of experimental data.

(**11187** views)

**Derivations of Applied Mathematics**

by **Thaddeus H. Black** - **Debian Project** , **2008**

The book deals with applied mathematical proofs. It emphasizes underlying mathematical motivation, without full mathematical rigor. Mathematical results are derived from applied perspective of the engineer and the scientist.

(**15571** views)

**Music: A Mathematical Offering**

by **Dave Benson** - **Cambridge University Press** , **2006**

An introduction to the subject of music and mathematics, which includes physics, psycho-acoustics, biology, and the history of science and digital technology. It covers the structure of the human ear, Fourier analysis, musical instruments, and more.

(**14515** views)

**Street-Fighting Mathematics**

by **Sanjoy Mahajan** - **The MIT Press** , **2010**

The book about the art of guessing results and solving problems without doing a proof or an exact calculation. Techniques include extreme-cases reasoning, dimensional analysis, successive approximation, discretization, generalization, etc.

(**16169** views)

**Cook-Book Of Mathematics**

by **Viatcheslav Vinogradov** - **CERGE-EI** , **1999**

Simple recipes for solving problems students might face in their studies of economics. The main goal was to refresh students' knowledge of mathematics rather than teach them math from scratch, BA level mathematics is required.

(**15166** views)

**Mathematical Tools for Physics**

by **James Nearing** - **Dover Publications** , **2010**

Infinite series, complex algebra, differential equations, Fourier series, vector spaces, operators and matrices, multivariable calculus, vector calculus, partial differential equations, numerical analysis, tensors, complex variables, and more.

(**11580** views)

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