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A Logical Approach to Discrete Math (Texts and Monographs in Computer Science)
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Here, the authors strive to change the way logic and discrete math are taught in computer science and mathematics: while many books treat logic simply as another topic of study, this one is unique in its willingness to go one step further. The book traets logic as a basic tool which may be applied in essentially every other area.
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Product details
Series: Texts and Monographs in Computer Science
Hardcover: 516 pages
Publisher: Springer (October 22, 1993)
Language: English
ISBN-10: 0387941150
ISBN-13: 978-0387941158
Product Dimensions:
6.1 x 1.2 x 9.2 inches
Shipping Weight: 2 pounds (View shipping rates and policies)
Average Customer Review:
4.0 out of 5 stars
14 customer reviews
Amazon Best Sellers Rank:
#1,237,524 in Books (See Top 100 in Books)
David Gries's book is great at showing the connection between logic and Discrete Math. This approach can be a little cumbersome if one wants to learn graphs, trees, integer algorithms, etc., and yet you do not want to deal with a complex logical framework, but are willing to work with a more intuitive notion of proof.The book has one of the best discussions of Boolean logic I've read. It is especially strong in discussing various "duals" that make it easy to derive theorems.This book is for a reader who wants to learn mathematical logic, from scratch, and who wants to learn an approach to Discrete Mathematics that emphasizes logic.For many people this will be a great second book on Discrete Mathematics or as a supplementary book. Because of the heavy emphasis on formal proof I'm not sure it would make a great book to start from.I give it five stars since it is a five star book so far as its intentions are concerned.
I took a math class with Rodrigo Cardozo, based on this book and it really taught me how to use propositional calculus while applying it to computer programming.It has only a few examples on how to prove the theorems for each chapter, yet if you take the time to develop a proof for each theorem yourself -as I have done-, you will end up with a very solid knowledge of logic and a structured idea of how to approach math and use it to write perfect programs from the start.It is a challenging task. I enjoyed it.
Just the book I needes for "Foundations of Comp Sci" class. It waw brand new, no marks anywhere and 20 bucks cheaper than the bookstore at the U.
I used it on my courses of "Logica Simbolica" and "Discretas" at Simon Bolivar University. It is great for practising exercises and demonstrating theorems (at the end of each chapter). It shows great examples to explain its content. It is a must-have for Computer Engineers
Purchased in behalf of a young friend for his university studies. He mentioned that it has proven extremely useful. Worth the price!
great
For the right kind of reader - namely, one with a competent instructor - this book probably does a lot of things well. It starts off by requiring you to get a firm grip on concepts that are used throughout the remainder of the book; you'll be doing proofs right off the bat. Unfortunately, I couldn't understand the content of the first four chapters until after a month of study.I was genuinely applying myself, but I just had a difficult time understanding this material. You may struggle unless you've previously had an introduction to proofs of this kind, like in an Abstract Math course. The proofs from high school Geometry class are nothing like those seen here!I can only recommend this book if a really good instructor comes with it. If you know you'll have a good professor who can explain things well, I think this book can take you into some tougher, more complex tasks relatively quickly. If not, you're going to have a devil of a time penetrating this thing: the author's words seem to trip over themselves all the time. It's somewhat of a difficult read, at least at the beginning; once I got my bearings, the later chapters seemed to get a little easier.If only these concepts could be taught better... but I can't see a better method than what's done here, and that method is initially horribly difficult.I do not recommend this book for independent study, but it may work when paired with a knowledgeable, helpful instructor. The fact that there are no answers in the back of the book limit the book's use.
The previous reviewer knows not of what they speak. Yes, the book does teach calculation independent of meaning (equational logic), and this is so that one may arrive at results, at insights, at meaning, which one would _not_ have otherwise, or at least not with such great ease. To wit, solving Portia's suitor's dilemma is reduced to a trivial two step manipulation, rather than, for example a 21-step formal natural-deduction solution. I cannot overemphasize the astounding increase in problem solving power available to you when you can manipulate a problem without having to keep the meaning of everything in your head.... I searched for quite some time before finally finding this book, and I will be forever happy that I've been able to read it. Can't say that about too many math books. :-) Contains excellent reference summaries too, including card stock tear out duplicates of same.
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