Mathematics Books Basic Mathematics Books

Mathematics Lecture Notes by NPTEL

Mathematics Lecture Notes by NPTEL

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):

sNA Pages
Similar Books
The Foundations of Mathematics

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.

s148 Pages
An Introduction to Higher Mathematics

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

s142 Pages
Mathematical Notes by Tony Feng

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.

sNA Pages
An Introduction to Contemporary Mathematics

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.

s295 Pages
Advanced High School Mathematics

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.

s435 Pages
Practical mathematics

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.

s652 Pages
Engineering Math III

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.

s78 Pages
Mathematics Reference Book for Scientists and Engineers

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.

sNA Pages