This note covers the
following topics: Addition and Subtraction of Whole Numbers, Multiplication and
Division of Whole Numbers, Exponents, Roots, and Factorization of Whole Numbers,
Introduction to Fractions and Multiplication and Division of Fractions, Addition
and Subtraction of Fractions, Comparing Fractions, and Complex Fractions,
Decimals, Ratios and Rates, Techniques of Estimation, Measurement and Geometry,
Signed Numbers, Algebraic Expressions and Equations.
This note contains the following topics: Trigonometric Functions I, Trigonometric Functions
II, Matrix, Determinants, Equations of Straight Lines, Functions, Limits,
Continuity, Logarithmic Differentiation, Parametric Differentiation, Successive
Differentiation, Maxima and Minima, Business Applications of Maxima and Minima.
Author(s): Dr. Sachin Kaushal, Lovely Professional University
Phagwara
This PDF book covers the
following topics related to Contemporary Mathematics :Sets, Logic, Real Number
Systems and Number Theory, Number Representation and Calculation, Algebra, Money
Management, Probability, Statistics, Metric Measurement, Geometry, Voting and
Apportionment, Graph Theory, Math and Art.
This page covers
the following topics related to Elementary Mathematics : Basic Algebra,
Introduction to Matrices, Trigonometry, Indices and Logarithms, Polynomial
Equations, Inequalities and Absolute Values, Progressions, Elementary Counting
Techniques, Complex Numbers, Functions and Lines, Introduction to
Differentiation, Further Techniques of Differentiation, Applications of
Differentiation, Introduction to Integration.
This PDF covers
the following topics related to Advanced Mathematics : Sets, Logic, Counting
Finite Sets, Numbers, Inequalities and Rings, Number Theory, Fundamentals of
Proof , Induction, Relations and Functions, Applications.
This note covers the
following topics: Addition and Subtraction of Whole Numbers, Multiplication and
Division of Whole Numbers, Exponents, Roots, and Factorization of Whole Numbers,
Introduction to Fractions and Multiplication and Division of Fractions, Addition
and Subtraction of Fractions, Comparing Fractions, and Complex Fractions,
Decimals, Ratios and Rates, Techniques of Estimation, Measurement and Geometry,
Signed Numbers, Algebraic Expressions and Equations.
The objective
of this note is to survey topics in mathematics, including multidimensional
calculus, ordinary differential equations, perturbation methods, vectors and
tensors, linear analysis, linear algebra, and non-linear dynamic systems.
Goal of this note is
to provide free educational resources to anyone around the world that wishes to
deeply master Mathematics. Topics covered includes: Intermediate Algebra,
Precalculus, Math for Electrical Engineers, Mathematics Proof, Linear Algebra,
Discrete Structures, Ordinary Differential Equations, Mathematical Modeling.
This note covers the following topics: Numbers,
functions, and sequences, Limit and continuity, Differentiation, Maxima, minima
and curve sketching, Approximations, Integration, Logarithmic and exponential
functions, Applications of Integration, Series of numbers and functions, Limit
and continuity of scalar fields, Differentiation of scalar fields, Maxima and
minima for scalar fields, Multiple Integration, Vector fields, Stokes’ theorem
and applications.
This book describes some
basic ideas in set theory, model theory, proof theory and recursion theory,
these are all parts of what is called mathematical logic. Topics covered
includes: Set Theory, Induction and Recursion on the Ordinals, Cardinal
Arithmetic, Model Theory and Proof Theory, First-Order Logic Semantics, Formal
Proofs, Elementary Submodels and Recursion Theory.
This note explains the following topics: Logical
Operations, De Morgan’s Laws, Families of Sets, Equivalence Relations, Direct
Proofs, Number Theory, Wilson’s Theorem and Euler’s Theorem, Quadratic Residues,
Functions, Injections and Surjections, Cardinality and Countability
Author(s): Patrick Keef, David Guichard with
modifications by Russ Gordon
It is one
of a small number of texts intended to give you, the reader, a feeling for the
theory and applications of contemporary mathematics at an early stage in your
mathematical studies. Topics covered includes: Number theory and its application
to cryptography, A Hierarchy of Infinities, Dynamical Processes, Chaos and
Fractals, Geometry and Topology.
The aim of this book has been to illustrate the use of mathematics in constructing
diagrams, in measuring areas, volumes, strengths of materials, in calculating
latitudes and longitudes on the earth's surface, and in solving similar
problems. One great branch of Practical Mathematics, that dealing with
electricity and magnetism, has not been included in this book.
Author(s): Knott, Cargill Gilston; Mackay, J. S. (John
Sturgeon)
This book is considered as a great reference book for
beginners. The chief purpose of the book is to help to bridge the gap
which separates many engineers from mathematics by giving them a bird's-eye view
of those mathematical topics which are indispensable in the study of the
physical sciences.
Author(s): Ivan Sokolnikoff and
Elizabeth Sokolnikoff
These are the sample pages
from the textbook, 'Mathematics Reference Book for Scientists and Engineers'.
Fundamental principles are reviewed and presented by way of examples, figures,
tables and diagrams. It condenses and presents under one cover basic concepts
from several different applied mathematics topics.