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Free Applied Mathematics Books

Abstract Algebra
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Linear Algebra
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Commutative Algebra
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Complex Algebra
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Elliptic Curves
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Geometric Algebra
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Groups Theory
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Higher Algebra
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Homological Algebra
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Lie Algebra
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Differential Algebra
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Rings and Fileds
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Geometry
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Algebraic Geometry
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Differential Geometry
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Fractals
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Riemannian Geometry
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Mathematical Analysis
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Complex Analysis
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Functional Analysis
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Differential Analysis
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Fourier Analysis
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Harmonic Analysis
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Numerical Analysis
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Real Analysis
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Topology
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Algebraic Topology
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Differential Topology
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Geometric Topology
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K-theory
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Applied Mathematics
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Calculus
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Differential Equations
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Combinatorics
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Discrete Mathematics
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Graph Theory
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Number Theory
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Probability Theory
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Set Theory
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Trigonometry
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Category Theory
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Constants & Numerical Sequences
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Basic Mathematics
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Classical Analysis
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History of Mathematics
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Arithmetic Geometry
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Mathematical Series
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Modern Geometry
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Basic Algebra
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Differential Equations
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This section contains free e-books and guides on Applied Mathematics, some of the resources in this section can be viewed online and some of them can be downloaded.

Applied Mathematics Books
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Methods of Applied Mathematics

PDF | 207 Pages | English
This note covers the following topics: Fourier Transforms, Applications of Fourier Transforms, Curvilinear Co-ordinates, Random variable and Mathematical Expectation, Moments and Moment generating functions, Theoretical Discrete Distributions, Theoretical Continuous Distributions, Multiple and partial Correlation.

 
Applied Mathematics Body and Soul

PDF | 466 Pages | English
This book explains the following topics: Introduction to Modeling, Natural Numbers and Integers, Mathematical Induction, Rational Numbers, Pythagoras and Euclid, Polynomial functions, Combinations of functions, Lipschitz Continuity, Sequences and limits, The Square Root of Two, Real numbers, Fixed Points and Contraction Mappings, Complex Numbers, The Derivative, Differentiation Rules, Newton’s Method, Galileo, Newton, Hooke, Malthus and Fourier.

 
Handbook of mathematics for engineers

Online | 212 Pages | English
This Handbook of Mathematics is designed to contain, in compact form, accurate statements of those facts and formulas of pure mathematics which are most likely to be useful to the worker in applied mathematics. Many topics of an elementary character are presented in a form which permits of immediate utilization even by readers who have had no previous acquaintance with the subject; for example, the practical use of logarithms and logarithmic cross-section paper, and the elementary parts of the modern method of nomography (alignment charts), can be learned from this book without the necessity of consulting separate treatises.

 
Lecture Notes On Applied Mathematics

PDF | 178 Pages | English
This lecture note covers the following topics related to applied mathematics: Dimensional Analysis, Scaling, and Similarity, Calculus of Variations, Sturm-Liouville Eigenvalue Problems and Stochastic Processes.

 
Applied Mathematics Methods and Models

Online | NA Pages | English
This book covers the following topics in applied mathematics: Dimensional Analysis, Scaling and Similarity, Calculus of Variations, Sturm-Liouville Eigenvalue Problems and Stochastic Processes.

 
Derivations of Applied Mathematics

Online | 664 Pages | English
Derivations of Applied Mathematics is a book of applied mathematical proofs. This book covers the following topics in applied mathematics: Classical algebra and geometry, Trigonometry, derivative, The complex exponential, Primes, roots and averages, Taylor series, Integration techniques, Matrices and vectors, Transforms and special functions.

 
Linear Methods of Applied Mathematics

Online | NA Pages | English
This text concentrates on mathematical concepts rather than on details of calculations, which are often done with software, such as Maple or Mathematica. The book is targeted at engineering students who have had two years of calculus, introductory linear algebra, and introductory ordinary differential equations.

 
Applied Mathematics Lecture Notes

Online | NA Pages | English
This book covers the following topics in applied mathematics: Linear Algebraic Systems, Vector Spaces and Bases, Inner Products and Norms, Minimization and Least Squares Approximation, Orthogonality, Equilibrium, Linearity, Eigenvalues, Linear Dynamical Systems, Iteration of Linear Systems, Boundary Value Problems in One Dimension, Fourier Series, Fourier Analysis, Vibration and Diffusion in One-Dimensional Media, The Laplace Equation, Complex Analysis, Dynamics of Planar Media, Partial Differential Equations in Space, Nonlinear Systems, Nonlinear Ordinary Differential Equations, The Calculus of Variations and Nonlinear Partial Differential Equations.

 
Techniques in Applied Mathematics

Online | NA Pages | English
This course note develops mathematical techniques which are useful in solving `real-world' problems involving differential equations, and is a development of ideas which arise in the second year differential equations course. This note embraces the ethos of mathematical modelling, and aims to show in a practical way how equations `work', and what kinds of solution behaviours can occur.

 
Algorithms and Complexity

Online | NA Pages | English
This book covers the following topics:Recursive Algorithms, The Network Flow Problem, Algorithms in the Theory of Numbers and NP-completeness.

 
Introduction to Methods of Applied Mathematics

PDF | 2321 Pages | English
This book covers the following topics: Algebra, Calculus, Functions of a Complex Variable, Ordinary Differential Equations , Calculus of Variations, Nonlinear Differential Equations.

 
A=B Herbert Wilf, Marko Petkovsek, and Doron Zeilberger
Applied Math Textbook
Mathematical Tools for Physics
Applied Mathematics
Computational Complexity A Conceptual Perspective
Papers on Combinatorial Enumeration and Asymptotics
Hyperplane Arrangements
Introduction to Statistical Signal Processing
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