Is There a Math Book Just About Transcendental Functions, Basic to Advanced Math?


by logan3
Tags: advanced, basic, book, functions, math, transcendental
logan3
logan3 is offline
#1
Dec28-12, 06:19 AM
P: 15
Is there a book that just goes over transcendental functions, from their introduction to advanced use? I'm looking for some more experience with thinking about the functions and gaining some insight into their deep relationships. Thank-you.
Phys.Org News Partner Science news on Phys.org
Cougars' diverse diet helped them survive the Pleistocene mass extinction
Cyber risks can cause disruption on scale of 2008 crisis, study says
Mantis shrimp stronger than airplanes
SteamKing
SteamKing is offline
#2
Dec28-12, 09:14 AM
HW Helper
Thanks
P: 5,581
Which transcendental functions in particular?
logan3
logan3 is offline
#3
Dec28-12, 12:32 PM
P: 15
All of them. But I'll take what I can get.

marcusl
marcusl is offline
#4
Dec28-12, 04:05 PM
Sci Advisor
PF Gold
P: 2,020

Is There a Math Book Just About Transcendental Functions, Basic to Advanced Math?


Whittaker and Watson's "Modern Analysis" is a standard treatment. For even more depth, Erdelyi wrote a three volume set called "Higher Transcendental Functions" that is quite comprehensive.
fourier jr
fourier jr is offline
#5
Dec28-12, 06:46 PM
P: 943
i think lebedev had one also, on special functions
dextercioby
dextercioby is offline
#6
Dec29-12, 06:54 AM
Sci Advisor
HW Helper
P: 11,863
Special functions is a name given to the other functions than the so-called elementary ones. A direct connection to the <transcendental> attribute cannot be made, since there are elementary functions which are transcendental and special functions which are not (i.e. are algebraic, for example the orthogonal polynomials).
fourier jr
fourier jr is offline
#7
Dec29-12, 12:15 PM
P: 943
whoops, I thought they were just different names for the same class of functions
dextercioby
dextercioby is offline
#8
Dec29-12, 01:01 PM
Sci Advisor
HW Helper
P: 11,863
No, actually the subject of special functions is the part of mathematics I like most. Most of the known special functions are particular cases of general hypergeometric functions, especially Gauß ones.

As to the overall value, the 4th (latest, IIRC) edition of Whittaker & Watson should be the gem which would benefit the OP, so I 2nd the reccomendation.
logan3
logan3 is offline
#9
Dec29-12, 06:50 PM
P: 15
Thank-you so much for the help. I think the Whittaker/Watson book looks very good. Thank-you.
jasonRF
jasonRF is offline
#10
Dec29-12, 07:23 PM
P: 657
Whittaker and Watson is now old enough that legal electronic copies can be found online for free:
http://www.e-booksdirectory.com/details.php?ebook=183

A reader for that book format can be found for free online (don't remember what it is called).

Note that some of the modern "cheap" printings of this book are terrible - they are literally printouts of this electronic copy (which has some pages that are not scanned well). I bought this one and immediately returned it:
http://www.amazon.com/Course-Modern-...pd_sim_sbs_b_1

So if you want a hardcopy getting a used copy of an old printing seems to be the way to go. They can be found for cheap, too.

enjoy,

jason
dextercioby
dextercioby is offline
#11
Dec30-12, 05:14 AM
Sci Advisor
HW Helper
P: 11,863
<A reader for that book format can be found for free online (don't remember what it is called).>

One can find sources for downloading here http://djvu.org/resources/


Register to reply

Related Discussions
Why go to math class if reading the math book and solving problems are enough for me? Academic Guidance 12
A book on basic math that explains how math really works Science & Math Textbook Listings 7
Which advanced math to take? Academic Guidance 20
Which book for Advanced Engineering Math ? Science & Math Textbook Listings 1
Looking for a math book as a gift for my math teacher Science & Math Textbook Listings 13