Foundations and Fundamental Concepts of Mathematics

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Courier Dover Publications, 1997 - Mathematics - 344 pages
2 Reviews

This third edition of a popular, well-received text offers undergraduates an opportunity to obtain an overview of the historical roots and the evolution of several areas of mathematics.
The selection of topics conveys not only their role in this historical development of mathematics but also their value as bases for understanding the changing nature of mathematics. Among the topics covered in this wide-ranging text are: mathematics before Euclid, Euclid's Elements, non-Euclidean geometry, algebraic structure, formal axiomatics, the real numbers system, sets, logic and philosophy and more. The emphasis on axiomatic procedures provides important background for studying and applying more advanced topics, while the inclusion of the historical roots of both algebra and geometry provides essential information for prospective teachers of school mathematics.
The readable style and sets of challenging exercises from the popular earlier editions have been continued and extended in the present edition, making this a very welcome and useful version of a classic treatment of the foundations of mathematics. "A truly satisfying book." Dr. Bruce E. Meserve, Professor Emeritus, University of Vermont.

  

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User Review  - divisionbyzer0 - LibraryThing

This is an excellent book tracing the history of deductive procedures and key concepts relevant to the foundation of modern mathematics, specific focus on deductive axiomatics and the utility of ... Read full review

Review: Foundations and Fundamental Concepts of Mathematics (Dover Books on Mathematics)

User Review  - Debbie - Goodreads

Andi turns 60, loses her job, loses her boyfriend, and inherits a limousine - with a body in the trunk Read full review

Contents

MATHEMATICS BEFORE EUCLID
1
EUCLIDS ELEMENTS
26
NONEUCLIDEAN GEOMETRY
51
HUBERTS GRUNDLAGEN
79
ALGEBRAIC STRUCTURE
113
FORMAL AXIOMATICS
147
THE REAL NUMBER SYSTEM
173
SETS
212
LOGIC AND PHILOSOPHY
243
Copyright

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