Technical Books

This note explains the following topics, Infinite Sequences, Infinite Series and Improper Integrals, Fourier Series, The OneDimensional Wave Equation, The TwoDimensional Wave Equation, Fourier Transform, Applications of the Fourier Transform, Bessels Equation.

This lecture note covers the following topics, Integration theory, Finite Fourier Transform, Fourier Integrals, Fourier Transforms of Distributions, Fourier Series, The Discrete Fourier Transform, The Laplace Transform.

This PDF covers the following topics related to Fourier Analysis, Fourier series, Weak derivatives, 1dimensional Fourier series, ndimensional Fourier series, Pointwise convergence and GibbsWilbraham phenomenon,Absolute convergence and uniform convergence, Pointwise convergence, Dinis criterion,. Ces�ro summability of Fourier series, Fourier transform, Motivations, Schwartz space, Fourier transform on Schwartz space, The space of tempered distributions,The space of compactly supported distributions, Convolution of functions, Tensor products, Convolution of distributions, Convolution between distributions and functions, Convolution of distributions with noncompact supports, etc.

This PDF covers the following topics related to Fourier Analysis, Introduction, Fourier series, The Fourier transform, The Poisson Summation Formula, Theta Functions, and the Zeta Function, Distributions, Higher dimensions, Wave Equations, The finite Fourier transform.

This page covers the following topics related to Fourier Analysis, Introduction, Fourier Series, Periodicity, Monsieur Fourier, Finding Coefficients, Interpretation, Hot Rings, Orthogonality, Fourier Transforms, Motivation, Inversion and Examples, Duality and Symmetry, Scaling and Derivatives, Convolution.

This PDF covers the following topics related to Fourier Analysis, Introduction, Introduction to the Dirac delta function, Fourier Series, Fourier Transforms, The Dirac delta function, Convolution, Parsevals theorem for FTs, Correlations and crosscorrelations, Fourier analysis in multiple dimensions, Digital analysis and sampling, Discrete Fourier Transforms and the FFT, Ordinary Differential Equations, Greens functions, Partial Differential Equations and Fourier methods, Separation of Variables, PDEs in curved coordinates.

This page covers the following topics related to Fourier Analysis, Introduction to Fourier Series, Algebraic Background to Fourier Series, Fourier Coefficients, Convergence of Fourier Series, Further Topics on Fourier Series, Introduction to Fourier Transforms, Further Topics on Fourier Transforms.

This PDF book covers the following topics related to Fourier analysis , Mathematical Preliminaries, Sinusoids, Phasors, and Matrices, Fourier Analysis of Discrete Functions, The Frequency Domain, Continuous Functions, Fourier Analysis of Continuous Functions, Sampling Theory, Statistical Description of Fourier Coefficients, Hypothesis Testing for Fourier Coefficients, Directional Data Analysis, The Fourier Transform, Properties of The Fourier Transform, Signal Analysis, Fourier Optics.

This note covers fourier series, 1D fourier transform, 2D fourier transform, Convolution theorem, Understanding the sampling theorem.

these notes is to introduce the basic ideas and theorems of the subject to students of mathematics, physics, or engineering sciences. This note contains below topics, Definitions and important results, Convolution, Unicity Theorem Parseval Relation, The Classical Kernels, Summability Metric Theorems, Convergence a.e, Herglotz Theorem, HausdorffYoung Inequality, A Theorem of Minkowski, Measures with bounded powers.

This note covers the following topics, algebraic curves, elliptic curves, elliptic curves over special fields, more on elliptic divisibility sequences and elliptic nets, elliptic curve cryptography, computational aspects, elliptic curve discrete logarithm.

This note covers the following topics, The Groups Connected With E7, The Quadrigs On E7, The Interpretation Of The Forms F and F2, The Loci In S3.

This note explains the following topics, Plane curves, Projective space and homogenisation, Rational points on curves, BachetMordell equation, Congruent number curves, Elliptic curves and group law, Integer Factorization Using Elliptic Curves, Isomorphisms and jinvariant, Elliptic curves over C, Endomorphisms of elliptic curves, Elliptic Curves over finite fields, The MordellWeil Theorem, Elliptic Curve Cryptography.

Ellipticcurve cryptography is an approach to publickey cryptography based on the algebraic structure of elliptic curves over finite fields.

This note explains the following topics, Elliptic Integrals, Elliptic Functions, Periodicity of the Functions, Landens Transformation, Complete Functions, Development of Elliptic Functions into Factors, Elliptic Integrals of the Second Order, Numerical Calculations.