Best comprehensive Reference Book for Pure Math?

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Discussion Overview

The discussion centers around the search for a comprehensive reference book in pure mathematics that includes worked examples and proof practice, similar to "Formulas and Theorems in Pure Mathematics" by George Shoobridge Carr. Participants are seeking updated resources that cover advanced topics in mathematics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant describes "Formulas and Theorems" as a compilation of over 6000 formulas and theorems from the late 18th century, seeking a more modern equivalent.
  • Another participant questions whether Carr's book was used by Ramanujan for self-study.
  • Several participants express interest in finding a modern version of Carr's book or similar comprehensive references.
  • A suggestion is made to consider the "Oxford Users' Guide to Mathematics," with a note that it can be previewed on Amazon.
  • Another recommendation includes "The Princeton Companion to Mathematics," highlighting its comprehensive nature.
  • One participant inquires about the suitability of these books for high school or undergraduate students.
  • There is a shared concern about the availability of Carr's book, with one participant noting difficulty in finding it for sale and questioning its current status.
  • A later reply mentions that Carr's book is out of copyright and suggests it may be available online.

Areas of Agreement / Disagreement

Participants express a common interest in finding updated reference materials, but there is no consensus on specific titles or their suitability for different educational levels. The discussion remains unresolved regarding the availability of Carr's book.

Contextual Notes

Participants have not reached a conclusion about the best reference book, and there are varying opinions on the appropriateness of suggested titles for different audiences.

phusicist
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For those of you who don't know, "Formulas and Theorems" is basically a compilation of thousands of math theorems, 6000+ formulas, with a summary of their proofs, covering most of what was known in the late 18th century.

What I'm looking for is a comprehensive reference book with worked examples, possibly one to practice proofs, very much like "Formulas and Theorems in Pure mathematics" by George Shoobridge Carr, except more up to date, and covering more advanced topics. Any suggestions?

Thanks.
 
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Wasn't that the book Ramanujan taught himself out of?
 
I'm looking for a similar book. Is there a more up-to-date and modern version of carr? or a similar one?
 
You might want to look at the Oxford Users' Guide to Mathematics. You can view some of the content on Amazon and judge if that's what you had in mind. Here's another review. You also could search Amazon for either Handbook of Mathematics or Mathematical Handbook, but most of the results are oriented towards scientists and engineers. I own this volume. It's very comprehensive, but I don't refer to it very often.
 
Will these books be helpful for a high school or undergrad student?
 
Nuts, I was really curious to see Carr's book and I can't seem to find it on sale anywhere except India (and even that's out of stock). Did this book get reprinted under a different title or is it simply not sold anymore?
 
MissSilvy said:
Nuts, I was really curious to see Carr's book and I can't seem to find it on sale anywhere except India (and even that's out of stock). Did this book get reprinted under a different title or is it simply not sold anymore?

It's out of copyright. It had to be available online somewhere.

http://www.archive.org/details/synopsisofelemen00carrrich
 

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