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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.

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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.

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Mathematics Lecture Notes

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.

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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

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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.

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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.

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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.

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Higher Mathematics For Engineers And Physicists

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.

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