Abstract Algebra Algebra Algebraic Geometry Algebraic Topology Applied Mathematics Arithmetic Geometry Basic Algebra Basic Mathematics Calculus Category Theory Classical Analysis Combinatorics Commutative Algebra Complex Algebra Complex Analysis Differential Algebra Differential Analysis Differential Calculus Differential Equations Differential Geometry Differential Topology Discrete Mathematics Elliptic Curves Fourier Analysis Functional Analysis Fractals Fractional Calculus Geometric Algebra Geometry Geometric Topology Groups Theory Graph Theory Harmonic Analysis Higher Algebra History of Mathematics Homological Algebra Integral Calculus K-theory Lie Algebra Linear Algebra Mathematical Analysis Mathematical Series Modern Geometry Multivairable Calculus Number Theory Numerical Analysis Probability Theory Real Analysis Rings and Fileds Riemannian Geometry Theorems in Calculus Topology Trigonometry Set Theory Constants & Numerical Sequences
Expander Graphs in Pure and Applied Mathematics
This book contains below topics, Expander graphs, Examples of Expanders, Applications to computer science, Expanders in number theory, Applications to group theory, Expanders and Geometry, Miscellaneous.
Author(s): Alexander Lubotzky
69 Pages
Topics in Applied Mathematics and Nonlinear Waves
This note contains below topics, Cartesian tensors, Fluid dynamics, Calculus Of Variation, Dimensional analysis, The method of multiple scales, Green s functions, B.
Author(s): Per Kristen Jakobsen
321 Pages
Lecture Notes on Computerized Tomography
The development ofcomputerized tomographyCT has revolutionized the field of diagnostic radiology and CT is by now one of the standard modalities in medical imaging. This note contains below topics, The Radon transform, Inversion of the Radon transform, Method of filtered back projection, Algebraic reconstruction techniques, Threedimensional reconstruction, Mathematical tools.
Author(s): Matthias Beckmann
81 Pages
Applied Mathematics Lecture Notes by Peter J Olver and Chehrzad Shakiban
This note covers boundary value problems in one dimension, Fourier series,Fourier analysis, Vibration and diffusion in one dimensional media, The planar laplace equation, Complex analysis, Dynamics of planar media, Partial differential equations in space, Nonlinear systems, Nonlinear ordinary differential equations, The calculus of variations, Nonlinear partial differential equations.
Author(s): Peter J Olver and Chehrzad Shakiban
644 Pages
Introduction to Applied Mathematics by Alan Parks
This book covers the following topics, The Exponential Function, Exponentials and Logarithms, Exponential Models, Recursion, Recursive Models, Investigating Recursive Models, The Derivative, Discovering the Derivative, The Derivative at a Point, The Derivative of a Function, Computing the Derivative, The Power Rule, Linearity, Products and Quotients, Exponentials and Logarithms, The Chain Rule, Interpreting and Using the Derivative, Curve Sketching, Newtons Method, The Chain Rule Revisited, Marginals, Linear Optimization, Simple Examples, More Complicated, Shadow Prices Lagrange Multipliers, The Integral, Antiderivatives, The Definite Integral, Riemann Sums, Interpreting and Using the Integral, Anti Rates, Area, Probability, Quantities in Economics, Matrix Algebra, Matrix Arithmetic, Applications of Matrix Algebra, Linear Equations, Equations and Solutions, Matrix Inverse, Applications of Linear Equations, Partial Derivatives, Partial derivatives, Higher Order Derivatives, The Chain Rule, Non Linear Optimization, The First Derivative Test, Lagrange Multipliers, Fitting a Model to Data, Spread sheet Formulas, Function Values, Recursion Calculations and Matrix Calculations.
Author(s): Alan Parks, Lawrence University
248 Pages
This note explains the following topics, Mathematics in Design, Mathematics and Measurements, Statistics and Probability, Differential and Integral Calculus, Trigonometry.
Author(s): Sathyabama Institute of Science and Technology
122 Pages
Handbook of mathematics for engineers
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 crosssection 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.
Author(s): E. V. Huntington, L. A. Fischer
212 Pages
Lecture Notes On Applied Mathematics
This lecture note covers the following topics related to applied mathematics, Dimensional Analysis, Scaling, and Similarity, Calculus of Variations, SturmLiouville Eigenvalue Problems and Stochastic Processes.
Author(s): John K. Hunter
178 Pages
