 # Applied Mathematics

## subcategories

Mathematical Physics (66)
Econometrics (33)
Game Theory (23)
Numerical Analysis (45)

## e-books in Applied Mathematics category Topics in Applied Mathematics and Nonlinear Waves
by - arXiv.org ,
The selection of topics in this text has formed the core of a one semester course in applied mathematics at the Arctic University of Norway. The class has, during its existence, drawn participants from both applied mathematics and physics.
(1547 views) Fractional Calculus: Theory and Applications
by - MDPI AG ,
Fractional calculus is allowing integrals and derivatives of any positive order. It can be considered a branch of mathematical physics that deals with integro-differential equations, where integrals are of convolution type ...
(3284 views) Uncertainty Theory
by - Tsinghua University ,
Uncertainty theory is a branch of mathematics based on normality, monotonicity, self-duality, countable subadditivity, and product measure axioms. Uncertainty is any concept that satisfies the axioms of uncertainty theory ...
(2573 views) The Craft of Fractional Modelling in Science and Engineering
by - MDPI AG ,
Fractional calculus has performed an important role in the fields of mathematics, physics, electronics, mechanics, and engineering in recent years. The modeling methods involving fractional operators have been continuously generalized and enhanced...
(2748 views) Theory and Applications of Ordered Fuzzy Numbers
by - Springer ,
This book offers comprehensive coverage on Ordered Fuzzy Numbers, providing readers with both the basic information and the necessary expertise to use them in applications. The respective chapters discuss the main techniques and applications.
(2904 views) Symmetry Measures on Complex Networks
by - MDPI AG ,
Symmetry and Complex Networks are essential in many sciences. That is why these two themes have been unified here, whose intersection we are dealing with: in its first part, of fundamentals, and in its second part of applications, which are multiple.
(2805 views) Wave Propagation Analysis with Boundary Element Method
by - Ledizioni LediPublishing ,
The aim of this thesis is to developed an efficient procedure for the application of BEM to transient scalar wave propagation problems, investigating the coerciveness property of the related energy functional, avoiding the frequency domain analysis.
(3508 views) Opera Magistris
by - Sciences.ch ,
This is a compendium of undergraduate and graduate applied mathematics for engineers. It explains the basics of Applied Mathematics, supplies instructions on how to use several families of models, and gives an overview of the Applied Mathematics.
(4065 views) Fractional Dynamics
by - De Gruyter Open Ltd ,
The book is devoted to recent developments in the theory of fractional calculus and its applications. Particular attention is paid to the applicability of this currently popular research field in various branches of pure and applied mathematics.
(4166 views) Engineering Mathematics
by - McGraw-Hill ,
The book brings together and discusses explicitly, with applications, all those branches of mathematics which are of special importance to the electrical engineer. Theoretical knowledge of mathematics must be accompanied by ability to apply it ...
(4032 views) Inverse Problems and Applications: Inside Out II
by - Cambridge University Press ,
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.
(5277 views) Computational Modeling and Mathematics Applied to the Physical Sciences
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.
(4070 views) Mathematics and Music
by - Washington University in St. Louis ,
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.
(4495 views) Business Mathematics: A Textbook
by - The Ronald Press Co. ,
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.
(10367 views) Mathematics and Group Theory in Music
by - arXiv ,
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.
(5744 views) Interacting Particle Systems
by - University of Warwick ,
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.
(6727 views) On 2D Inverse Problems
- Wikibooks ,
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.
(5003 views) Intermediate Maths for Chemists
by - Bookboon ,
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.
(6435 views) Introductory Maths for Chemists
by - Bookboon ,
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,...
(9981 views) The Mathematics of Investment
by - D.C Heath and Company ,
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.
(30427 views) Lectures On Approximation By Polynomials
by - Tata Institute of Fundamental Research ,
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.
(7663 views) A Short Course on Approximation Theory
by - Bowling Green State University ,
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.
(8680 views) Techniques of Applied Mathematics
by - University of Oxford ,
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'.
(9173 views) Math Alive
by - Princeton University ,
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.
(8952 views) Mathematical Linguistics
by ,
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.
(14020 views) Mathematical Methods
by - University of Notre Dame ,
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.
(20188 views) Mathematical Biology
by - The Hong Kong University of Science & Technology ,
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.
(10560 views) A Basic Course in Applied Mathematics
by - Lulea University of Technology ,
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.
(26168 views) Handbook of Mathematics for Engineers
by - McGraw Hill ,
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.
(21735 views) Applied Mathematics by Example
by - BookBoon ,
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.
(13178 views) A Mathematics Primer for Physics Graduate Students
by ,
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.
(19967 views) Principles of Data Analysis
by - Prasenjit Saha ,
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.
(11186 views) Special Fuzzy Matrices for Social Scientists
by - InfoLearnQuest ,
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.
(9456 views) Elementary Fuzzy Matrix Theory and Fuzzy Models for Social Scientists
by - arXiv ,
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.
(10923 views) Mathematics and Biology: The Interface, Challenges, and Opportunities
by ,
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.
(14557 views) Conformal Fractals: Ergodic Theory Methods
by - Cambridge University Press ,
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.
(10583 views) Mathematics and Physics of Emerging Biomedical Imaging
by - National Academies Press ,
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.
(11397 views) Inside Out: Inverse Problems and Applications
by - Cambridge University Press ,
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.
(10579 views) Chebyshev and Fourier Spectral Methods
by - Dover Publications ,
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.
(15777 views) Voting, Arbitration & Fair Division: Mathematics of Social Choice
by - Trent University ,
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.
(13920 views) Linear Methods of Applied Mathematics
by ,
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.
(12518 views) Mathematical Methods of Engineering Analysis
by ,
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.
(13654 views) The Basics of Financial Mathematics
by ,
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.
(15599 views) Inverse Problem Theory and Methods for Model Parameter Estimation
by - SIAM ,
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.
(13091 views) Derivations of Applied Mathematics
by - Debian Project ,
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.
(20149 views) Music: A Mathematical Offering
by - Cambridge University Press ,
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.
(15576 views) Street-Fighting Mathematics
by - The MIT Press ,
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.
(15602 views) Cook-Book Of Mathematics
by - CERGE-EI ,
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.
(20885 views) Mathematical Tools for Physics
by - Dover Publications ,
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.
(57776 views)