/   Mathematics Books /  

Basic Mathematics Books

Basic Mathematics Books

This section contains free e-books and guides on Basic Mathematics, some of the resources in this section can be viewed online and some of them can be downloaded.

Mathematics Lecture Notes by NPTEL

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 and applications.

Author(s):

s NAPages

Lecture on Additive Number Theory

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.

Author(s):

s 122Pages

Mathematics Lecture Notes

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.

Author(s):

s NAPages

The Foundations of Mathematics

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.

Author(s):

s 148Pages

An Introduction to Higher Mathematics

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):

s 142Pages

Mathematical Notes by Tony Feng

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.

Author(s):

s NAPages

An Introduction to Contemporary Mathematics

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.

Author(s):

s 295Pages

Advanced High School Mathematics

This note explains the following topics: Advanced Euclidean Geometry, Discrete Mathematics, Inequalities and constrained extrema, Abstract algebra, Series and Differential Equations, Inferential statistics.

Author(s):

s 435Pages

Notes on Mathematics

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.

Author(s):

s 255Pages

Practical mathematics

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):

s 652Pages

Engineering Math III

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.

Author(s):

s 78Pages

Higher Mathematics For Engineers And Physicists

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):

s 537Pages

Mathematics Reference Book for Scientists and Engineers

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.

Author(s):

s NAPages