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, Stokesí theorem
In Additive Number Theory we study subsets of integers and
their behavior under addition. Topics covered includes:Lower Bound on Sumset, Erdos conjecture on
arithmetic progressions, Szemeredi theorem, Algorithm to find Large set with
3-term AP, Condition for a set not having 3-term AP, Cardinality of set with no
3-term AP, Improved Size of A, Sum Free Sets and Prime number theorem.
This note covers the
following topics: Numerical Method, Numerical Integration, Numerical Solution Of
Differential Equation, Optimization, Graphical Method, Visual Representation Of
Different Cases Of Solution Of LPP, Big-m Method, Probability, Vector
Algebra In 2-space And 3-space, Vector Differential Calculus, Basic Definitions,
Gradient Of A Scalar Field, Physical Interpretation Of Divergence and Curl Of A
Vector Field, Laplace Transforms, Differentiation and Integration Of Transforms,
Odes With Variable Coefficients, Discrete Mathematical Structures, Partial
Differential Equation, Limit Of Function.
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 Morganís Laws, Families of Sets, Equivalence Relations, Direct
Proofs, Number Theory, Wilsonís Theorem and Eulerís Theorem, Quadratic Residues,
Functions, Injections and Surjections, Cardinality and Countability
Author(s):Patrick Keef, David Guichard with
modifications by Russ Gordon
This note covers the following topics: Geometric
Quantization and Representation Theory, Geometry of Numbers, Reductive Groups
over Fields, Abelian Varieties, Fiber Bundles and Cobordism, Ergodic Theory,
Complex Manifolds, Algebraic and Arithmetic Geometry, Riemanns Zeta Funcion,
Complex Analysis on Riemann Surfaces, Lie Groups and Lie Algebras.
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.
This note explains the
following topics: Advanced Euclidean Geometry, Discrete Mathematics,
Inequalities and constrained extrema, Abstract algebra, Series and Differential
Equations, Inferential statistics.
This book explains the
following topics: Linear Algebra, Matrices,
Linear System of Equations, Finite Dimensional Vector Spaces, Linear
Transformations, Inner Product Spaces, Eigenvalues, Eigenvectors and
Diagonalization, Ordinary Differential Equation, Laplace Transform, Numerical
Applications, Newtonís Interpolation Formulae, Lagrangeís Interpolation Formula
and Numerical Differentiation and Integration.
Chandra, A. K. Lal, V. Raghavendra, G. Santhanam
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
This note covers the following topics:
Power Series: Sequences and Series, Convergence and Divergence, A Test for
Divergence, Comparison Tests for Positive Series, The Ratio Test for Positive
Series, Absolute Convergence, Power Series, Special Functions: Bessel's Equation
and Bessel's Functions, The Gamma Function, Solution of Bessel's Equation in
Terms of the Gamma Function and Partial Di erential Equations.
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
Author(s):Ivan Sokolnikoff and
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.