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# idiot`s guide to Bessel, Legendre... watch

1. Hi all!

I have a very good book i`m learning PDE`s from:

Solution Techniques for Elementary Partial Differential Equations by Christian Constanda.

Problem(s) is(are) I`m up to the bit which delves into Bessel Functions, and my main reaction to this is "WTF?"

My main confusion is "what the hell are the solutions and how do you "solve" or find out what each part of each solution is?

This and is driving me nuts!

I just want to know how to write the solutions and what they`re made up of!

THEN... i get even more confused and my brain starts to smell like burning rubber when it goes into Legendgre polynomials and then (i only have one non-seething brain cell at this point) Spherical Harmonics!

Please can someone recommend notes that even Forest Gump or the Waterboy could understand?

Help, please! (i almost have no hair left!)
2. (Original post by Hasufel)
Hi all!

I have a very good book i`m learning PDE`s from:

Solution Techniques for Elementary Partial Differential Equations by Christian Constanda.

Problem(s) is(are) I`m up to the bit which delves into Bessel Functions, and my main reaction to this is "WTF?"

My main confusion is "what the hell are the solutions and how do you "solve" or find out what each part of each solution is?

This and is driving me nuts!

I just want to know how to write the solutions and what they`re made up of!

THEN... i get even more confused and my brain starts to smell like burning rubber when it goes into Legendgre polynomials and then (i only have one non-seething brain cell at this point) Spherical Harmonics!

Please can someone recommend notes that even Forest Gump or the Waterboy could understand?

Help, please! (i almost have no hair left!)

I wish I could help you but it seems you need a good book.

VERY GOOD books but not the usual £1.00 second hand books I buy

Refaat El Attar, Bessel and related functions
Refaat El Attar, Legendre Polynomials and functions
Refaat El Attar, Special functions and orthogonal polynomials (this contains practically everything in the first 2 books)

The style of this guy is similar to mine
No waffle just examples and questions, pretty much like my on line material....

Another good book is
Solved problems in Analysis by Farrell and Ross
(no analysis here just methods and 400+ solved questions on all special functions)
3. (Original post by Hasufel)
Hi all!

I have a very good book i`m learning PDE`s from:

Solution Techniques for Elementary Partial Differential Equations by Christian Constanda.

Problem(s) is(are) I`m up to the bit which delves into Bessel Functions, and my main reaction to this is "WTF?"

My main confusion is "what the hell are the solutions and how do you "solve" or find out what each part of each solution is?

This and is driving me nuts!

I just want to know how to write the solutions and what they`re made up of!

THEN... i get even more confused and my brain starts to smell like burning rubber when it goes into Legendgre polynomials and then (i only have one non-seething brain cell at this point) Spherical Harmonics!

Please can someone recommend notes that even Forest Gump or the Waterboy could understand?

Help, please! (i almost have no hair left!)
Do you have access to a university library or a very large city bookshop nearby where you can browse titles?

Most readable presentations of this sort of stuff are contained in "methods" books - typically with titles like "Mathematical Methods for Physicists" or "Mathematical Methods for Science and Engineering" or "Mathematical Methods in the Physical Sciences".

There's usually a lot of overlap between different titles, but some of the classic authors to look out for are:
Boas
Arfken & Weber
Riley, Hobson & Bence
Kreyszig

There are specialist titles too which usually approach the topics from the viewpoint of complex analysis but they may be overkill if you need a 'quick' introduction

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Updated: January 30, 2015
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