TextBooks for Some Topics in Mathematics

[Soumalya]

Hi,
I need suggestions for picking up some standard textbooks for the following set of topics as given below:

Ordinary and singular points of linear differential equations


Series solutions of linear homogenous differential equations about ordinary and regular singular points


Hyper-geometric, Legendre and Bessel functions


Chebyshev, Hermite and Legendre polynomials and their properties

I need books that would clear me the concepts with little hassle or confusion and which are really easy to follow as self teaching guides.

Any suggestion would be highly appreciable!

 

[Evo]

Hi,
I need suggestions for picking up some standard textbooks for the following set of topics as given below:

Ordinary and singular points of linear differential equationsSeries solutions of linear homogenous differential equations about ordinary and regular singular pointsHyper-geometric, Legendre and Bessel functionsChebyshev, Hermite and Legendre polynomials and their properties

I need books that would clear me the concepts with little hassle or confusion and which are really easy to follow as self teaching guides.

Any suggestion would be highly appreciable!

Have you checked out the books already suggested?

 

[astrobird]

I have myself worked through Engineering Mathematics (Stroud) and I'm half-way through Advanced Engineering Mathematics (Stroud). These two books cover many of the things you mention above and the author explains the concepts in a very straightforward way, no prior knowledge on the topics is needed.

 

[Soumalya]

Have you checked out the books already suggested?

If you are talking about the list of suggested textbooks it's exhaustive and I am actually confused as to which one to pick to get started.Could you suggest one?

 

[Soumalya]

I have myself worked through Engineering Mathematics (Stroud) and I'm half-way through Advanced Engineering Mathematics (Stroud). These two books cover many of the things you mention above and the author explains the concepts in a very straightforward way, no prior knowledge on the topics is needed.

Thanks astrobird!

If I guess it correctly are you an engineer graduate?
I was considering Kresyszig but now I would take a look at Stroud.

 

[astrobird]

Welcome!
No, I'm not an engineer graduate, actually I have a degree in Marketing but I want to study physics now which means I need to understand the math too :) My level of math knowledge was quite limited before I started, which is one of the reasons I chose Stroud, as especially the first book starts with the very basics. I read a lot of review about these books on Amazon at the time and people were quite positive so it seemed like the right choice and for me it works fine. I can't comment on Kresyszig or any other book I'm afraid, I only tried Stroud so far when it comes to math.

 

[bolbteppa]

My recommendations are
Forsyth: https://archive.org/details/treatiseondiffer032528mbp
Bhamra: http://books.google.ie/books?id=jUsv4aGmIUsC&printsec=frontcover#v=onepage&q&f=false
Goursat: https://archive.org/details/differentialequa028961mbp
These are the only books of any value I can find on the topics you're asking about - if you actually use them I'd definitely like to talk about them in detail :)

 

[Soumalya]

My recommendations are
Forsyth: https://archive.org/details/treatiseondiffer032528mbp
Bhamra: http://books.google.ie/books?id=jUsv4aGmIUsC&printsec=frontcover#v=onepage&q&f=false
Goursat: https://archive.org/details/differentialequa028961mbp
These are the only books of any value I can find on the topics you're asking about - if you actually use them I'd definitely like to talk about them in detail :)

I would have a look at those books.Thanks boblteppa :)