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FURTHER READING
ON THE NUMBER SYSTEM

The bibliography compiled in the current article is a list of resources recommended by Dr C.B. Allendoerfer and C.O.Oakley to advance your knowledge of the number system and its development.

1. "A Survey Of Modern Algebra" by G.Birkhoff and S.MacLane, Chapters I, II, and III

 The pdf copy of the book is provided by lisabeckphotography.com and can be found there.

2. "What Is Mathematics?" by R.Courant and H.Robbins, Chapters I and II


3. "Number, the Language of Science" by T.Dantzig

Freely downloadable from the online resource engineering108.com by clicking on the link.

4. "Infinity" by L.R.Lieber, pp. 87-203

The digital edition can be obtained free of charge from arcaneknowledgeofthedeep.files.wordpress.com by following the link.

5. "Higher Algebra for the Undergraduate" by M.K.Weiss, Chapters I and II

The book can be bought for as much as 3$ on Amazon.

6. "Philosophy of Mathematical and Natural Science" by H.Weyl, Chapter II


7. "An Introduction to Mathematics" by A.N.Whitehead, Chapters V-VIII

The work is in the public domain.

The following articles from American Mathematical Monthly are definitely worth reading:


1. "On Proofs by Mathematical Induction" by E.T.Bell

The article in pdf can be acquired from arXive.com there.

2. "Definitions of Imaginary and Complex Numbers" by E.S.Allen

The resource can be accessed there.

3. "An Early Reference to Division by Zero" by C.B.Boyer

The jstor copy can be downloaded through this link.

4. "Historical Note on the Graphic Representation of Imaginaries before the time of Wessel" by F.Cajori

The pdf copy is published online.

5. "Mathematical Induction" by G.E.Raynor

The article can be read online free of charge on jstor.