Introduction to Mathematical Structures and Proofs

by Larry J. Gerstein

This is a textbook for a one-term course whose goal is to ease the transition from lower-division calculus courses to upper-division courses in linear and abstract algebra, real and complex analysis, number theory, topology, combinatorics, and so on. Without such a "bridge" course, most upper division instructors feel the need to start their courses with the . rudiments of logic, set theory, equivalence relations, and other basic mathematiCal raw materials before getting on with the subject at hand. Students who are new to higher mathematics are often startled to discover that mathematics is a subject of ideas, and not just formulaic rituals, and that they are now expected to understand and create mathematical proofs. Mastery of an assortment of technical tricks may have carried tHe students through calculus, but it is no longer a guarantee of academic success. Students need experience in working with abstract ideas at a n"

Genres: Mathematics, Logic

350 pages, Paperback

First published April 4, 1996

Reviews

[Breena Weller · Rating 4 out of 5]

this is a good math book

[Isaac C · Rating 4 out of 5]

Solid Textbook. Good for beginners.

[Zaid Barghouthi · Rating 4 out of 5]

I used this book in my first -real math- course .. it was mostly clear. Didn't do chapter 5 though.

it has nice set of exercises after each section. few of them were really difficult.

All in all .. I had good time with this book.