| Bridge to Abstract Mathematics: Mathematical Proof and Structures (International Series in Pure and Applied Mathematics) |  | Author: Ronald P. Morash
Publisher: Mcgraw-Hill College
Category: Book
List Price: $87.70
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Seller: onceuponatimebooks
Rating:  7 reviews
Sales Rank: 1149881
Media: Hardcover
Edition: 2 Sub
Pages: 389
Shipping Weight (lbs): 1.6
Dimensions (in): 9.8 x 6.8 x 0.8
ISBN: 0070430438
Dewey Decimal Number: 511.3
EAN: 9780070430433
ASIN: 0070430438
Publication Date: January 1, 1991
Availability: Usually ships in 1-2 business days
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Product Description
Intended to bridge the gap between the standard calculus sequence and more abstract upper-division mathematics courses, this successful text provides a firm foundation in sets, logic, and mathematical proof methods. The Second Edition includes a smoother transition from the concepts of logic to actual use of these concepts in proving theorems; additional applications; several essays about prominent mathematicians and their work; and the addition of exercises for student writing.
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| Customer Reviews:
Showing reviews 1-5 of 7
Best intro to true mathematics I've ever read or seen December 11, 1999
Todd Riggs (Riverside, California, USA)
5 out of 5 found this review helpful
Simply a must for any upper division math student or any one heading into rigorous theory.
Premier Text on Proofing! October 3, 2007
Danial Lee Sellers (Indianapolis, IN)
5 out of 5 found this review helpful
I am currently taking a 300 level course on proofing and Bridge to Abstract Mathematics is one of the required texts. This book is an excellent introduction to proofing. There is a huge intellectual leap between 200 level and 300 level proof based math courses that is often very difficult for college math students to make. This text does an wonderful job of bridging that gap. Many teachers and curriculum's in proof based courses expect students to somehow magically pick up the art and skill of proofing on their own. Morash takes the time to show the logic and art behind proofing that teachers often don't or can't teach. (Because they consider it trivial or they don't really understand it themselves!) The logic sections can be boring if you're not into truth tables but it is infinitely useful material if you want to learn to proof well. I've seen other books on proofing and they don't hold a candle to this one. Many of my math profs. recommend this book because it is the one they learned from when they were undergrads.
Excellent. November 15, 2003
2 out of 2 found this review helpful
I am currently taking an Intro to Abstract Mathematics course and am using this book as a supplement. All of the topics are VERY well explained and to the point. I refer to this text more than I do my lecture notes and the appointed text for the class. I also have two other books on the subject and this text is by far the best in my opinion. If you want clarity, I recommend this book.
Best book on the subject in my collection March 21, 2010
Ioulia Bilochapka (CA US)
2 out of 2 found this review helpful
I kept buying books on the subject and none of them were exactly what I was looking for. Then I found this book and realized that it was the best. If you are looking for good, clear explanations, you will find them here.
Contents
Book One. The Foundation: Sets, Logic, and Mathematical Argument
1.Sets
2.Logic, part I: the propositional calculus
2.Logic, part II: the predicate calculus
4.Elementary applications of logic
5.Methods of mathematical proof, part I: elementary methods
6.Methods of mathematical proof, part II: advanced methods
Book Two. Bridging Topics: Relations, Functions, and Number Systems
7.Relations, part I: equivalence relations and partial orderings
8.Relations, part II: functions and mappings
9.Properties of the number systems of undergraduate mathematics
10.Construction of the number systems of undergraduate mathematics
A must for those planning on taking upper divison courses February 12, 2000
1 out of 1 found this review helpful
This is an excellent book to help guide a student through the upper division mathematical courses.
Showing reviews 1-5 of 7
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