Applied Mathematics Lecture Notes by Peter J Olver and Chehrzad Shakiban
Applied Mathematics Lecture Notes by Peter J Olver and Chehrzad Shakiban
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.
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.
This Lecture note explains the following topics: Elementary Matrix Theory, Vector Spaces,
Linear Transformations, Vector Spaces with Inner Product, Eigenvalue
Problems and Additional Topics Relating to Eigenvalue Problems.
Author(s): Ray M.Bowen, University College Station
Texas
This PDF Lecture covers the following
topics related to Applied Mathematics : Number Theory, Prime Number Ratio,
Proportion and Logarithms, Interpretatlysis of Data, Commercial Mathematics,
Set Theory Unit 6: Relation and Function, Algebra Complex Number, Sequence
and Series, Permutations and Combinations, Trigonometry.
This PDF Lecture covers the
following topics related to Applied Mathematics : Introduction - What is
Applied Mathematics, Dimensional Analysis and Scaling, Asymptotic analysis,
Perturbation Methods, Asymptotic Expansion of Integrals, Functional Analysis
- A Crash Course, Calculus of Variations, Orthogonal Expansions, Sturm Liouville
Problem.
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
This
note covers the following topics: Types and sets, Basic logic, Classical tautologies, Natural numbers,
Primitive recursion, Inductive types, Predicates and relations, Subset and
Quotients, Functions.