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.
Author(s): Kenneth
Eriksson, Don Estep and Claes Johnson
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 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.
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, Kepler’s Laws
of Planetary Motion, Green’s Theorem, Complex Analysis, The Quest for
Invisibility, Calculus of Variations, Bessel’s Equations, Hermite’s
Equations and Quantum Mechanics.
This note
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.
This book explains the
following topics: Linear Equations, Matrices, Linear Programming, Mathematics of
Finance, Sets and Counting, Probability, Markov Chains, Game 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, Newton’s Method, Galileo, Newton, Hooke,
Malthus and Fourier.
Author(s): Kenneth
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
Stochastic Processes.
This book covers
the following topics in applied mathematics: Dimensional Analysis,
Scaling and Similarity, Calculus of Variations, Sturm-Liouville Eigenvalue
Problems and Stochastic Processes.
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.
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.
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.