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Feynman Lectures  Anything similar for Mathematics? 
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#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: 661




#10
Nov1012, 10:32 AM

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P: 18,099




#11
Nov1012, 10:34 AM

P: 61



#12
Nov1012, 10:34 AM

P: 65

any other suggestions? 


#13
Nov1012, 10:35 AM

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P: 18,099

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

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P: 18,099

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

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P: 18,099




#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. 


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