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 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 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.
Eriksson, Don Estep and Claes Johnson
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.
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 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 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.