Bridge to abstract mathematics: Mathematical proof and structures

By Ronald P. Morash

Book Overview

This text is designed for students who are preparing to take a post-calculus abstract algebra and analysis course. Morash concentrates on providing students with the basic tools (sets, logic and proof... This description may be from another edition of this product.

• Format: Hardcover
• Language: English
• ISBN: 039435429X
• ISBN13: 9780394354293
• Release Date: January 1987
• Publisher: Random House USA Inc
• Length: 390 Pages
• Weight: 1.64 lbs.

Customer Reviews

Best book on the subject in my collection

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

Premier Text on Proofing!

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.

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.

A must for those planning on taking upper divison courses

This is an excellent book to help guide a student through the upper division mathematical courses.

Best intro to true mathematics I've ever read or seen

Simply a must for any upper division math student or any one heading into rigorous theory.