Fourier's series & integral , primarily via the Dirac's

heretic isosceles triangle & A Brief Summary of the

Classical Bessel's Equation at the End

ΑΕΙ Ο ΘΕΟΣ Ο ΜΕΓΑΣ ΓΕΩΜΕΤΡΕΙ

Wolfram|Alpha: Computational Knowledge Engine

http://Mathhighways.blogspot.com/ John Bredakis MD

Γιάννης Μπρεδάκης Athens Greece 2015

Surface area

Repetition:

.

In the domain [–π,π]

Fourier's series & integral , primarily via the Dirac's heretic isosceles triangle

The best approach , serving also as a summary

The Great God Always Applies the Rules of Geometry

Fourier's series & integral , primarily via the Dirac's heretic isosceles triangle

Fourier's series and Integral - A supplement

Table and evaluation of 58 definite Integrals

Table and evaluation of 58 definite Integrals

Table and evaluation of 58 definite Integrals

Table and evaluation of 58 definite Integrals

Table and evaluation of 58 definite Integrals

-

An attempt to bypass the calculus of residues ie: the classical evaluation of the following typical

examples solved over closed curves

Motivated by what WWL CHEN ~ wrote

Pay attention to the last paragraph

http://Mathhighways.blogspot.com/ John Bredakis MD

Γιάννης Μπρεδάκης Athens Greece 2015

8. 9.

Big Bang , John Bredakis method & the Gamma function -

Innumerous Integrals & a foundation to advanced

Mathematics

As an introduction to something spectacular

The triple product way to zeros of the Riemann Zeta

function on the critical line, in just one page

From: Wikipedia, the free encyclopedia

From: Wolfram|Alpha: Computational Knowledge Engine

See my pdf: Fourier's series & integral , primarily via the Dirac's heretic

isosceles triangle

And something of particular importance: Differential Equations , Laplace Transform and An Introduction to 2nd

Order Linear PDE with emphasis on Heat Conduction Equation

Numbers from my pdf:

Table and evaluation of 58 definite Integrals

Bessel’s equation in general and Bessel’s equation for integers

For details see my pdf: Classical Bessel's equation , with full proofs - And the role of computers

Suppose that the function f(x) has a finite number of discontinuities

in the domain

0=x1 < x < x2=A

A summary of the classical Bessel’s equation and the role of computers

Bessel function Calculator - Keisan - Casio

Wolfram|Alpha: Computational Knowledge Engine

For details see my pdf: Classical Bessel's equation , with full proofs - And the role of computers

Fourier's series & integral , primarily via the Dirac's

heretic isosceles triangle Background

My own idea

The transfer of i from denominator to numerator Along with the method of undetermined coefficients

Big Bang , John Bredakis method & the Gamma function - Innumerous Integrals & a foundation to advanced Mathematics

The fact that complex analysis can be bypassed – By my pdf:

An attempt to bypass the calculus of residues

An Introduction to the Riemann Hypothesis

Zeros of the Riemann Zeta-function on the critical line

A Bingo into the Zeta function and Riemann Hypothesis & GREAT

RIEMAN SHINING BRIGHTER VIA JOHN BREDAKIS FORMULAS

http://Mathhighways.blogspot.com/ Thanks God , uncle Fotis , Elias Kastanas , Wolfram

Mathematica and to all mentioned in my pdf

Wolfram|Alpha: Computational Knowledge Engine

Athens Greece 2015

John Bredakis Γιάννης Μπρεδάκης Athens Greece 2015