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.
Methods of Applied Mathematics NotesTodd Arbogast and Jerry L. BonaPDF
| 279 Pages
describes the following topics: Normed Linear Spaces and Banach Spaces, Hilbert
Spaces, Spectral Theory and Compact Operators, Distributions, The Fourier
Transform, Sobolev Spaces, Boundary Value Problems, Differential Calculus in
Banach Spaces and the Calculus of Variations.
Applied Finite MathematicsRupinder SekhonOnline
| NA Pages
This book explains the
following topics: Linear Equations, Matrices, Linear Programming, Mathematics of
Finance, Sets and Counting, Probability, Markov Chains, Game Theory.
Methods of Applied Mathematics Lecture NotesWilliam G. FarisPDF
| 143 Pages
This note explains the
following topics: Linear Algebra, Fourier series, Fourier transforms, Complex
integration, Distributions, Bounded Operators, Densely Defined Closed Operators,
Normal operators, Calculus of Variations, Perturbation theory.
Principles of Applied MathematicsProf. Rodolfo RosalesOnline
| NA Pages
Continuum Applied Mathematics covers fundamental concepts in continuous applied
mathematics, including applications from traffic flow, fluids, elasticity,
granular flows, etc.
Applied Mathematics Body and SoulKenneth
Eriksson, Don Estep and Claes JohnsonPDF
| 466 Pages
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 engineersE. V. Huntington, L. A.
| 212 Pages
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 MathematicsJohn K. HunterPDF
| 178 Pages
This lecture note covers the
following topics related to applied mathematics: Dimensional Analysis, Scaling,
and Similarity, Calculus of Variations, Sturm-Liouville Eigenvalue Problems and
Applied Mathematics Methods and ModelsJohn K. HunterOnline
| NA Pages
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 MathematicsThaddeus H. BlackOnline
| 664 Pages
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 MathematicsEvans
M. Harrell II and James V. HerodOnline
| NA Pages
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 NotesPeter
| NA Pages
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 MathematicsAndrew
| NA Pages
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.
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