Feynman Lectures  Anything similar for Mathematics?by converting1 Tags: feynman, lectures, mathematics, similar 

#1
Nov1012, 07:22 AM

P: 65

Last year I got volume 13 of the Feynman lectures but as a soon mathematics major I think it'd be appropriate to read more mathematics lectures (and more enjoyable). Is there anything similar I could ask for for my upcoming birthday?
Thanks, 



#2
Nov1012, 09:21 AM

P: 218

Hi converting1,
it's quite hard to match 'similar' it all depends on what you mean/expect. If you haven't heard about it by now, I'd recommend having a look at Michael Spivak books, I don't know if they will meet your specific expectations, but there is no way they will be any kind of a bad gift for your birthday :) cheers... 



#3
Nov1012, 09:56 AM

P: 836

Bourbaki.




#4
Nov1012, 10:22 AM

P: 65

Feynman Lectures  Anything similar for Mathematics?Factor, remainder theorm Algebraic Division Definite intergration Coordinate Geometry and Further Differenciation Trigonometry Geometric Series More Differenciation: Product,Quotient,Chain rule Trigonemetric manipulation: Double angles, Half angles, reciprocol functions Mappings and Functions Implicit Differenciation Parametric equations Further Integration: Substitution, Recognation, Integration by parts Partial Fractions Vectors Matrices Proof by induction Series Basic conics Numerical Techniques, iteration etc Complex Numbers Further Complex numbers: Loci,De Movrie, Roots of Unity etc 1st Order Differencial Equations 2nd Order Differncial Equations Polars Further Series Roots Taylor expansions Hyperbolic functions; inverses etc Further coordinate systems: Equations for an ellipse, loci, parametric equations for a hyperbola & ellipse etc tangents normals etc, Differentiating hyperbolic functions, inverses & trigonometric functions Integration  standard integrals, integrating expressions with hyperbolic functions, integrating inverse trigonometric and hyperbolic functions Further vectors triple scalar product, writing the equation of a plane in the scalar, vector or Cartesian form. Further Matrix algebra; determinant, inverse of 3x3 matrix, linear transformations etc when working through the topics above I would really have to attempt the proofs myself, and if I couldn't do it it'd take a while to be able to find a proof online, so it'd be nice to have it all summarized in a book or so 



#5
Nov1012, 10:25 AM

P: 61




#6
Nov1012, 10:30 AM

P: 836





#8
Nov1012, 10:31 AM

P: 65





#9
Nov1012, 10:32 AM

P: 660





#10
Nov1012, 10:32 AM

Mentor
P: 16,565





#11
Nov1012, 10:34 AM

P: 61




#12
Nov1012, 10:34 AM

P: 65

any other suggestions? 



#13
Nov1012, 10:35 AM

Mentor
P: 16,565

Other nice books are: http://www.amazon.com/s/ref=nb_sb_ss...mp%2Caps%2C281 and of course http://www.amazon.com/Calculus4thM...eywords=Spivak 



#14
Nov1012, 10:41 AM

P: 65





#15
Nov1012, 10:45 AM

Mentor
P: 16,565

That said: Spivak has a reputation for having very hard exercises. Don't be discouraged by this. But yes, I should try the book if I were you! 



#16
Nov1012, 10:48 AM

P: 65

Also, I hear most undergraduate textbooks don't have any answers attached, wouldn't this be a problem if it has very hard exercises? 



#17
Nov1012, 10:50 AM

Mentor
P: 16,565





#18
Nov1012, 10:53 AM

P: 65

out of curiosity does this book cover calc IIII in the US education system? I'm from the UK and we don't have that sort of system afaik. 


Register to reply 
Related Discussions  
Feynman Lectures  Science & Math Textbook Listings  17  
Feynman lectures  Science & Math Textbook Listings  2  
Feynman's lectures on mathematics for physicists  Science & Math Textbook Listings  1  
Feynman Qedlectures  Quantum Physics  1  
Copyrights on Feyman lectures and similar works  General Physics  11 