LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	511.3
Title	Proofs and Fundamentals ([EBook]) : A First Course in Abstract Mathematics / by Ethan D. Bloch.
Author	Bloch, Ethan D. , 1956-
Other name(s)	SpringerLink (Online service)
Publication	Boston, MA : Birkhäuser , 2003.
Physical Details	XXI, 424 pages : online resource.
ISBN	9781461221302
Summary Note	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.:
Contents note	I PROOFS -- 1 Informal Logic -- 2 Strategies for Proofs -- II Fundamentals -- 3 Sets -- 4 Functions -- 5 Relations -- 6 Infinite and Finite Sets -- III Extras -- 7 Selected Topics -- 8 Number Systems -- 9 Explorations -- Appendix: Properties of Numbers -- Hints for Selected Exercises -- References.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4612-2130-2
Links to Related Works	Subject References: Mathematical logic . Mathematical Logic and Foundations . Mathematics, general . Proof theory . Set Theory . Authors: Bloch, Ethan D. 1956- . Corporate Authors: SpringerLink (Online service) . Classification: 511.3 . 511.3 (DDC 23) .

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Proofs and Fundamentals: A First Course in Abstract Mathematics

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