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.
note covers the following topics: Types and sets, Basic logic, Classical tautologies, Natural numbers,
Primitive recursion, Inductive types, Predicates and relations, Subset and
These are notes
on various topics in applied mathematics.Major topics covered are:
Differential Equations, Qualitative Analysis of ODEs, The Trans-Atlantic
Cable, The Laplace Transform and the Ozone Layer, The Finite Fourier
Transform, Transmission and Remote Sensing, Properties of the Fourier
Transform, Transmission Tomography,The ART and MART, Vectors,A Brief History
of Electromagnetism, Changing Variables in Multiple Integrals, Keplerís Laws
of Planetary Motion, Greenís Theorem, Complex Analysis, The Quest for
Invisibility, Calculus of Variations, Besselís Equations, Hermiteís
Equations and Quantum Mechanics.
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.
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.
Author(s): Prof .Kuldip Bansal, Guru Jambheshwar
University of Science and Technology, Hisar
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, Newtonís Method, Galileo, Newton, Hooke,
Malthus and Fourier.
Eriksson, Don Estep and Claes Johnson
This lecture note covers the
following topics related to applied mathematics: Dimensional Analysis, Scaling,
and Similarity, Calculus of Variations, Sturm-Liouville Eigenvalue Problems and
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.
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.