Which calculus textbook is more rigorous: Finney or Apostol?

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Discussion Overview

The discussion centers around the rigor of two calculus textbooks: "Calculus and Analytic Geometry" by Thomas and Finney and "Calculus" by Apostol. Participants share their experiences with these texts, comparing their perceived rigor and suitability for different educational contexts.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Historical

Main Points Raised

  • Some participants mention their personal experiences with the Finney textbook, noting its historical significance and their familiarity with it from past courses.
  • One participant expresses a preference for the original Thomas text over the later editions, suggesting a decline in quality over time.
  • Another participant questions the purpose of the thread, speculating that it may have been initiated to sell the Finney book.
  • A participant states that their engineering college prefers the Finney book but does not find it as rigorous as Apostol's text, indicating that their instructor requires epsilon-delta proofs from it.
  • There is mention of various editions and adaptations of the Finney-Thomas text, including those used in high school AP Calculus courses.

Areas of Agreement / Disagreement

Participants express differing opinions on the rigor of the Finney textbook compared to Apostol's, with no consensus reached on which is superior. Some participants appreciate the historical context of the Finney text, while others advocate for the rigor of Apostol's approach.

Contextual Notes

Participants reference various editions of the textbooks and their experiences with different instructors, which may influence their views on the rigor and effectiveness of the texts. There is also mention of the evolving quality of educational materials over time.

Hairlosstreat
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I have calculus book by Finny.
 
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finney?
 


Hairlosstreat said:
I have calculus book by Finny.

Well, good for you!

MathWonk, he is referring to "Calculus and Analytic Geometry" by Thomas and Finney which is really the classic text by George B. Thomas as revised by Ross L. Finney.
When I took Calculus I, Thomas was my instructor. I remember that I had to pay $24 for the text- and it hurt!

Though I can't help but wonder why hairlosstreat wants to tell us he has that book.
 


Wow! Good ole Thomas and Finney, that's the text we used when I was a freshman back in the 80's. I still have it ... somewhere.
 


well after googling them both, it seems finney died in 2000 and thomas died in 2006, which explains to me the significant decline in quality of the "thomas calculus" books over the last 15 years. i still prefer the one I had in 1970, written just by thomas. it must have been a privilege to be taught by him Halls, but you apparently paid dearly for it!

That was apparently much later than my freshman year, when i bought courant for my college calculus course, taught by john tate, for $6.50. tate is apparently still alive and only recently retired from ut austin after a teaching career spanning over 50 years at harvard and ut.
 
I've got Abstract Algebra by Dummit and Foote. It's pretty bad.
 
I am still wondering why this thread was opened. I rather suspect that "hairlosstreat" was trying to sell the book. Oh, well, that still is better than being offered a treatment for hair loss!
 


HallsofIvy said:
MathWonk, he is referring to "Calculus and Analytic Geometry" by Thomas and Finney which is really the classic text by George B. Thomas as revised by Ross L. Finney.

There are at least two editions of Calculus by "Finney - Thomas," (authors' names are reversed) which I don't think counts among the 12 editions of Thomas' Calculus. https://www.amazon.com/dp/0201549778/?tag=pfamazon01-20 is Amazon's link to the 2nd edition, from 1994.

There is also an edition by Finney-Demana-Waits-Kennedy, which I believe is based on the Finney-Thomas text above. There's a regular version (some titled Calculus: A Complete Course), and there's a single-variable version (Calculus: Graphical, Numerical, Algebraic), which is what a number of high schools use for their AP Calculus courses.
 
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my engineering college prefers this Finney book. I don't think it is rigorous like Apostol. My instructor says that we have to do epsilon-delta proofs from this book. Even Apostol has some problems pertaining to it. I think I can use Apostol itself. Please suggest me which book to use..
 

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