MHB Suggestions for books/authors (Fundamental Concepts Of Mathematics )

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The discussion focuses on recommendations for books and authors that cover fundamental concepts of mathematics, including set theory, logic, proof methods, functions, relations, number theory, and the algebra and geometry of complex numbers. A highlighted resource is the three-volume set "Fundamentals of Mathematics" by Benke, Bachmann, and others, published by MIT Press. The volumes are structured as follows: Volume I covers the foundations of mathematics and the real number system, Volume II focuses on geometry, and Volume III addresses analysis. Volume I is particularly noted for its accessibility and ability to convey the scope of basic college-level mathematics.
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any suggestions for books/authors which contain these topics.

Fundamental Concepts Of Mathematics
Algebra of sets and logic; methods of proof; functions and relations; logical nature and structure of mathematics; introduction to number-theory; algebra arid geometry of complex numbers
 
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Re: suggestions for books/authors (Fundamental Concepts Of Mathematics )

One general reference I have enjoyed greatly is the 3-volume set:

Fundamentals of Mathematics, Benke, Bachmann et. al. (MIT press, translated from the German).

The 3 volumes are as follows:

Volume I:

Foundations of Mathematics
The Real Number System and Algebra

Volume II:

Geometry

Volume III:

Analysis

I think you would find Volume I especially helpful. It's not terribly in-depth, but it gives a good idea of the scope and power of the various "basic" mathematics used at the college level.
 

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