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Book of Proof (Englisch) Taschenbuch – 12. Dezember 2011

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Amazon.com: 4.7 von 5 Sternen 36 Rezensionen
37 von 38 Kunden fanden die folgende Rezension hilfreich
5.0 von 5 Sternen Excellent primer on proof techniques and cardinality 19. November 2011
Von A.M.D. - Veröffentlicht auf Amazon.com
Format: Taschenbuch
I used this as a required text (along with a broader discrete math text) in a college-sophomore level discrete math course that I taught last fall. It's a very nice, readable text with good exercises. In addition to covering proof techniques, it also has a nice section on cardinality. I recommend it highly. A digital version is available for free at the author's website (just do a search on the author's name, Richard Hammack).
28 von 28 Kunden fanden die folgende Rezension hilfreich
5.0 von 5 Sternen Lucid, literate, and highly suitable for self-study 13. Mai 2015
Von Robert J. Newell - Veröffentlicht auf Amazon.com
Format: Taschenbuch Verifizierter Kauf
As an M.Sc. in Electrical Engineering, I had to get a pretty extensive background in applied math, but almost nothing in theoretical math. I've lately taken an interest in various types of algebras, but I realized I didn't have the theoretical background.

In preparation for a (live) class in Abstract Algebra, I needed to learn to do formal proofs, and I didn't want to sit through a full semester of that. So I looked for a self-study book, and "Book of Proof" turned out to be the book. It's tailor-made for self-study, and as a bonus, it's very affordable.

Dr. Hammack literally starts at the beginning, with the basics of notation, sets, logic, etc. He introduces proofs gently enough to allow a determined self-student stay with it. There are plenty of exercises with odd-numbered solutions and these of course should not be skipped.

Dr. Hammack then works through what amounts to a survey of various formal proof types, with plenty of examples and sufficient discussion. All of the major types are covered. My one minor criticism is that I think proof by induction could have used more attention, but you can supplement that elsewhere if you have the need or the urge.

I wouldn't call this book either "deep" or "comprehensive" but that's not a criticism. The book is what it should be, a survey course, and it's at least enough to prepare a student for the next steps. Combined with a course in Linear Algebra, Abstract Algebra will come within reach, as will other higher-level, deeper, and more specialized courses.

Of course, it almost goes without saying that if you elect self-study, you've got to pay attention and work at things. No skimming! But I'm finding the payoff is high. This is clearly the right book for home use. It's lucid, literate, well-constructed, and affordable. Hats off to Dr. Hammack for his contribution to the determined learner.
10 von 10 Kunden fanden die folgende Rezension hilfreich
5.0 von 5 Sternen The most important math book I own. 20. Februar 2016
Von Omer Peretz - Veröffentlicht auf Amazon.com
Format: Taschenbuch
This is hands down the best and math textbook that I ever learned from. It is by far the most important one that I own.

I can say that before this text, I never deeply understood or appreciated any subject in math, beyond the very elementary and the "mechanical" technique. This book gave me an understanding of what mathematics (and the logic on which it rests) really is.

I can even go as far as saying that it changed ME; not just as a student of math. Because you gain a whole new, powerful method of thinking about and analyzing the world.

This book is ideal for self-study. It is simple and unassuming in its layout, the graphics and exposition; yet for me it provided the only pathway I ever found into deep appreciation and true understaing in math.

It starts from the most elementary in logic; and then builds from there; to cover the major proof strategies while touching upon some major topics in mathematics and number theory.

I don't know if you have to be a math genius to write such a book; or maybe you just need be a genius in teaching math. But Professor Hammack has achieved something which I never saw anyone else do.
12 von 14 Kunden fanden die folgende Rezension hilfreich
5.0 von 5 Sternen A good supplementary text 5. März 2013
Von Carl - Veröffentlicht auf Amazon.com
Format: Taschenbuch Verifizierter Kauf
The book offers a succinct summary of the basic methods of proof and does so in a style that is more informal than that found in other texts such as How to Prove It or Discrete Mathematics and Its Applications. Because of its brevity, it does not cover all of the topics that those books that I mentioned do; however, its discussion of the methods of proof is complete. It makes a good book to have in addition to a more extensive book on introductory discrete mathematics.
12 von 14 Kunden fanden die folgende Rezension hilfreich
5.0 von 5 Sternen Outstanding Foundational Book of Mathematics 18. Dezember 2013
Von Longshanks - Veröffentlicht auf Amazon.com
Format: Taschenbuch
I can't think of a better book to complete in summer before attending college to study mathematics, computer science, or engineering. Its an outstanding toolbox of thought for analytic deductive thinking and reasoning.
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