Applied Mathematics

subcategories

Computer Mathematics (50)
Differential Equations (28)
Graph Theory (7)
Numerical Analysis (12)
Optimization (5)
Stochastic Modeling (4)
Vector Analysis (6)

e-books in this category

A Mathematical Theory of Communication
by Claude Shannon , 1948
Shannon presents results previously found nowhere else, and today many professors refer to it as the best exposition on the subject of the mathematical limits on communication. It laid the modern foundations for what is now coined Information Theory.
(9897 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.
(443 views)

A Primer of Quaternions
by Arthur S. Hathaway - Project Gutenberg , 2006
The book is prepared for average students with a thorough knowledge of the elements of algebra and geometry, and is believed to be a simple and elementary treatment founded directly upon the fundamental ideas of the subject.
(178 views)

Analytical Classical Dynamics: An intermediate level course
by Richard Fitzpatrick - Lulu.com , 2007
Set of lecture notes for an upper-division classical dynamics course: oscillations, Keplerian orbits, two-body scattering, rotation of rigid bodies in three dimensions, Lagrangian mechanics, Hamiltonian mechanics, and coupled oscillations.
(4579 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.
(3837 views)

Complex and Adaptive Dynamical Systems: A Primer
by Claudius Gros - arXiv , 2008
This textbook covers a wide range of concepts, notions and phenomena of a truly interdisciplinary subject. Complex system theory deals with dynamical systems containing a very large number of variables, showing a plethora of emergent features.
(1261 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.
(1080 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.
(5269 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.
(7462 views)

Doing Physics with Quaternions
by Douglas B. Sweetser , 2005
Quaternions, like the real numbers, can be added, subtracted, multiplied, and divided. They are composed of four numbers that work together as one. This book contains a brief summary of important laws in physics written as quaternions.
(5051 views)

Elementary Fuzzy Matrix Theory and Fuzzy Models for Social Scientists
by W. B. Vasantha Kandasamy, at al. - Automaton , 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.
(623 views)

Encyclopedia of Dynamical Systems
by D. Anosov, at al. - Scholarpedia , 2009
The encyclopedia covers differential equations, numerical analysis, bifurcations, topological dynamics, ergodic theory, hyperbolic dynamics, oscillators, pattern formation, chaos, statistical mechanics, control theory, and applications.
(2013 views)

Game Theory
by Thomas S. Ferguson - UCLA , 2008
In this text, the author presents various mathematical models of games and study the phenomena that arise. The book covers impartial combinatorial games, two-person zero-sum games, two-person general-sum games, and games in coalitional form.
(5234 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.
(1530 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.
(3722 views)

Linear Systems Theory and Introductory Algebraic Geometry
by Robert Hermann - Math Sci Press , 1974
Systems theory offers a unified mathematical framework to solve problems in a wide variety of fields. This mathematics is not of the traditional sort involved in engineering education, but involves virtually every field of modern mathematics.
(363 views)

Mathematical Control Theory: Deterministic Finite Dimensional Systems
by Eduardo D. Sontag - Springer , 1998
This textbook introduces the basic concepts of mathematical control and system theory in a self-contained and elementary fashion. Written for mathematically mature undergraduate or beginning graduate students, as well as engineering students.
(3566 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.
(4593 views)

Mathematical Tools for Physics
by James Nearing , 2006
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.
(2968 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.
(1268 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.
(1120 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.
(5821 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.
(775 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.
(396 views)

Street-Fighting Mathematics
by Sanjoy Mahajan - MIT OpenCourseWare , 2008
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.
(5217 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.
(9074 views)

The Chaos Hypertextbook
by Glenn Elert , 2007
This book is written for anyone with an interest in chaos, fractals, non-linear dynamics, or mathematics in general. It's a moderately heavy piece of work, requiring a bit of mathematical knowledge, but it is definitely not aimed at mathematicians.
(2138 views)

Topics in the Geometric Theory of Integrable Mechanical Systems
by Robert Hermann - Math Sci Press , 1984
From the table of contents: Integrability, the Hamilton-Jacobi equation, and Stachel theory; Geometric structures in integrability theory; Mechanics and control; Stohastic systems; Kron-Kondo theory; Geometric structure in field theory.
(224 views)

Unsolved Problems in Mathematical Systems and Control Theory
by Vincent D. Blondel, Alexandre Megretski - Princeton University Press , 2004
Presentations of important unsolved problems in mathematical systems and control theory. Problems are proposed by leading experts and presented in an accessible manner. A reference for anyone interested in the latest developments in the field.
(3674 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.
(3529 views)