Proofs and Fundamentals : A First Course in Abstract Mathematics PDF
by Ethan D. Bloch
Description
In an effort to make advanced mathematics accessible to a wide variety of students, and to give even the most mathematically inclined students a solid basis upon which to build their continuing study of mathematics, there has been a tendency in recent years to introduce students to the for- mulation and writing of rigorous mathematical proofs, and to teach topics such as sets, functions, relations and countability, in a "transition" course, rather than in traditional courses such as linear algebra.
A transition course functions as a bridge between computational courses such as Calculus, and more theoretical courses such as linear algebra and abstract algebra.
This text contains core topics that I believe any transition course should cover, as well as some optional material intended to give the instructor some flexibility in designing a course.
The presentation is straightforward and focuses on the essentials, without being too elementary, too exces- sively pedagogical, and too full to distractions.
Some of features of this text are the following: (1) Symbolic logic and the use of logical notation are kept to a minimum.
We discuss only what is absolutely necessary - as is the case in most advanced mathematics courses that are not focused on logic per se.
Information
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Download - Immediately Available
- Format:PDF
- Publisher:Birkhauser Boston
- Publication Date:01/12/2013
- Category:
- ISBN:9781461221302
Other Formats
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Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Birkhauser Boston
- Publication Date:01/12/2013
- Category:
- ISBN:9781461221302
