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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, Stokes’ theorem and applications.
Author(s): NPTEL
NA Pages 
Basic Mathematics by Sachin Kaushal
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
378 Pages
Elementary Mathematics by William Chen
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.
Author(s): William Chen, Xuan Duong
NA Pages
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.
Author(s): Denny Burzynski,Wade Ellis
NA Pages
Lecture Notes On Mathematical Methods
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 nonlinear dynamic systems.
Author(s): Mihir Sen and Joseph M. Powers
502 Pages
An Introduction to Mathematics by Alfred North Whitehead
This note covers the following topics, The Abstract Nature Of Mathematics, Variables, Methods Of Application, Dynamics, The Symbolism Of Mathematics, Generalizations Of Number,imaginary Numbers, Coordinate Geometry, Conic Sections, Functions,periodicity In Nature,trigonometry, series,the Differential Calculus, Geometry, quantity.
Author(s): Alfred North Whitehead
228 Pages
Engineering Maths by Conor Houghton
This note explains the following topics, Vector Calculus, Iterated integrals, Fourier series and transforms, Ordinary Differential Equations, Parcevals Theorem, Partial Differential Equations.
Author(s): Conor Houghton
NA Pages
Math Notes by Prof Peter Magyar
This note covers the following topics, Volumes, Work, Inverse functions, Natural Logarithm Function, Natural Exponential and Logarithm, Exponential Growth and Decay, Inverse Trigonometric Functions, Hyperbolic Functions, Integration by Parts, Trig Integrals, Partial Fractions, Improper integrals, Method for Integration, Arc Length, Sequences, Series, Integral Test, Comparison Tests, Method for Convergence Testing, Power Series, Taylor Series, Parametric Curves, Parametric Calculus, Polar Coordinates, Polar Areas and Lengths.
Author(s): Prof. Peter Magyar
NA Pages
An Introduction to Higher Mathematics
This note explains the following topics, Logical Operations, De Morgans Laws, Families of Sets, Equivalence Relations, Direct Proofs, Number Theory, Wilsons Theorem and Eulers Theorem, Quadratic Residues, Functions, Injections and Surjections, Cardinality and Countability
Author(s): Patrick Keef, David Guichard with modifications by Russ Gordon
142 Pages