Basic Concepts of Mathematics and Logic - Brossura

Gemignani, Michael C.

9780486435060: Basic Concepts of Mathematics and Logic

Brossura

ISBN 10: 0486435067 ISBN 13: 9780486435060

Casa editrice: Dover Pubns, 2004

Intended as a first look at mathematics at the college level, this text emphasizes logic and the theory of sets, covering a well-chosen selection of important topics in significant depth.
Students who take no further courses in the field will find this volume an excellent resource for developing an appreciation for the nature of mathematics and the processes of mathematical thought. Others who undertake further courses in mathematics will discover the foundations for their future studies — specifically, set theory, logic, counting, numbers, functions, ordering, probabilities, and other components of higher mathematics.
In keeping with the author's view that the initiation into a discipline should focus on a few well-chosen topics rather than offering an extensive but superficial survey, this text covers fewer subjects than many other introductions to college-level mathematics. All of the topics discussed here are important, however, and they are covered in greater depth, with more motivation, and with greater rigor than is customary at the introductory level.

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Product Description:

This text emphasizes logic and the theory of sets. Students who take no further courses in the field will find it an excellent resource for developing an appreciation for the nature of mathematics. Others will discover the foundations for future studies - set theory, logic, counting, numbers, functions, and more. 1968 edition. 43 figures. 25 tables.

Contenuti:

1. Introduction. 2. Introduction to Logic. 3. More About Logic. 4. Sets. 5. Set Theory and Logic. 6. Counting. 7. The Cartesian Product. Functions. 8. Relations. 9. More About Total Ordering. 10. Probability. 11. An Elementary Geometry. 12. Conclusion. Appendix. Answers to Odd-Numbered Exercises. Indexes.

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