Foundations and Fundamental Concepts of Mathematics

Foundations and Fundamental Concepts of Mathematics PDF Author: Howard Whitley Eves
Publisher: Courier Corporation
ISBN: 9780486696096
Category : Mathematics
Languages : en
Pages : 370

Book Description
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.

Foundations and Fundamental Concepts of Mathematics

Foundations and Fundamental Concepts of Mathematics PDF Author: Howard Eves
Publisher: Courier Corporation
ISBN: 048613220X
Category : Mathematics
Languages : en
Pages : 370

Book Description
Third edition of popular undergraduate-level text offers historic overview, readable treatment of mathematics before Euclid, Euclid's Elements, non-Euclidean geometry, algebraic structure, formal axiomatics, sets, more. Problems, some with solutions. Bibliography.

Concepts of Modern Mathematics

Concepts of Modern Mathematics PDF Author: Ian Stewart
Publisher: Courier Corporation
ISBN: 0486134954
Category : Mathematics
Languages : en
Pages : 367

Book Description
In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.

Fundamental Concepts of Geometry

Fundamental Concepts of Geometry PDF Author: Bruce E. Meserve
Publisher: Courier Corporation
ISBN: 048615226X
Category : Mathematics
Languages : en
Pages : 340

Book Description
Demonstrates relationships between different types of geometry. Provides excellent overview of the foundations and historical evolution of geometrical concepts. Exercises (no solutions). Includes 98 illustrations.

Introduction to the Foundations of Mathematics

Introduction to the Foundations of Mathematics PDF Author: Raymond L. Wilder
Publisher: Courier Corporation
ISBN: 0486276201
Category : Mathematics
Languages : en
Pages : 354

Book Description
Classic undergraduate text acquaints students with fundamental concepts and methods of mathematics. Topics include axiomatic method, set theory, infinite sets, groups, intuitionism, formal systems, mathematical logic, and much more. 1965 second edition.
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