Building Proofs:A Practical Guide, by Suely Oliveira
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Building Proofs:A Practical Guide, by Suely Oliveira
Best PDF Ebook Online Building Proofs:A Practical Guide, by Suely Oliveira
This book introduces students to the art and craft of writing proofs, beginning with the basics of writing proofs and logic, and continuing on with more in-depth issues and examples of creating proofs in different parts of mathematics, as well as introducing proofs-of-correctness for algorithms. The creation of proofs is covered for theorems in both discrete and continuous mathematics, and in difficulty ranging from elementary to beginning graduate level.
Just beyond the standard introductory courses on calculus, theorems and proofs become central to mathematics. Students often find this emphasis difficult and new. This book is a guide to understanding and creating proofs. It explains the standard “moves” in mathematical proofs: direct computation, expanding definitions, proof by contradiction, proof by induction, as well as choosing notation and strategies.
Building Proofs:A Practical Guide, by Suely Oliveira- Amazon Sales Rank: #1639039 in eBooks
- Published on: 2015-06-10
- Released on: 2015-08-24
- Format: Kindle eBook
From the Inside Flap This book introduces students to the art and craft of writing proofs, beginning with the basics of writing proofs and logic, and continuing on with more in-depth issues and examples of creating proofs in different parts of mathematics, as well as introducing proofs-of-correctness for algorithms. The creation of proofs is covered for theorems in both discrete and continuous mathematics, and in difficulty ranging from elementary to beginning graduate level.
Just beyond the standard introductory courses on calculus, theorems and proofs become central to mathematics. Students often find this current emphasis difficult and new. This book is a guide to understanding and creating proofs. It explains the standard "moves" in mathematical proofs: direct computation, expanding definitions, proof by contradiction, proof by induction, as well as choosing notation and strategies.
About the Author Suely Oliveira is Associate Professor of Computer Science at the University of Iowa.Author of 17 books, David Stewart is a former professor at the University of North Carolina, Chapel Hill, and Southeast Missouri State University, Cape Girardeau. He was Director of the MacCarthy Geophysics Laboratory in North Carolina and Founder/Director of the Center for Earthquake Studies in Cape Girardeau. It is a former Executive Director of the Central U.S. Earthquake Consortium, a sub-agency of the Federal Emergency Management Agency (FEMA). His other books include "Damages and Losses of Future New Madrid Earthquakes," "The New Madrid Fault Finders Guide," and "The Earthquake that Never Went Away."
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0 of 0 people found the following review helpful. I encourage all students of mathematics, whether you're in ... By Amazon Customer I encourage all students of mathematics, whether you're in a formal program or self-studying to seriously consider buying this book. It lays out the fundamentals of constructing proofs by carefully discussing the logic that underlies mathematical investigations and then uses various examples from the various areas of math to illustrate these logical principles.I feel this book would be an asset to everyone learning how to construct proofs. While there is no universal template or algorithm to apply to all proofs, at least this book shows you the fundamentals and the applications so you may build your own proofs.
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