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Understanding Mathematical Proof

Understanding Mathematical Proof PDF
Author: John Taylor
Publisher: CRC Press
ISBN: 1466514914
Size: 21.44 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 414
View: 6365

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Understanding Mathematical Proof

by John Taylor, Understanding Mathematical Proof Books available in PDF, EPUB, Mobi Format. Download Understanding Mathematical Proof books, The notion of proof is central to mathematics yet it is one of the most difficult aspects of the subject to teach and master. In particular, undergraduate mathematics students often experience difficulties in understanding and constructing proofs.Understanding Mathematical Proof describes the nature of mathematical proof, explores the various techn




Introduction To Mathematical Proofs

Introduction to Mathematical Proofs PDF
Author: Charles Roberts
Publisher: CRC Press
ISBN: 1482246880
Size: 69.45 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 414
View: 4353

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Introduction To Mathematical Proofs

by Charles Roberts, Introduction To Mathematical Proofs Books available in PDF, EPUB, Mobi Format. Download Introduction To Mathematical Proofs books, Introduction to Mathematical Proofs helps students develop the necessary skills to write clear, correct, and concise proofs. Unlike similar textbooks, this one begins with logic since it is the underlying language of mathematics and the basis of reasoned arguments. The text then discusses deductive mathematical systems and the systems of natural numbers, integers, rational numbers, and real numbers. It also covers elementary topics in set theory, explores various properties of relations and functions, and proves several theorems using induction. The final chapters introduce the concept of cardinalities of sets and the concepts and proofs of real analysis and group theory. In the appendix, the author includes some basic guidelines to follow when writing proofs. This new edition includes more than 125 new exercises in sections titled More Challenging Exercises. Also, numerous examples illustrate in detail how to write proofs and show how to solve problems. These examples can serve as models for students to emulate when solving exercises. Several biographical sketches and historical comments have been included to enrich and enliven the text. Written in a conversational style, yet maintaining the proper level of mathematical rigor, this accessible book teaches students to reason logically, read proofs critically, and write valid mathematical proofs. It prepares them to succeed in more advanced mathematics courses, such as abstract algebra and analysis.




An Introduction To Mathematical Proofs

An Introduction to Mathematical Proofs PDF
Author: Nicholas A. Loehr
Publisher: CRC Press
ISBN: 9780367338237
Size: 75.91 MB
Format: PDF, ePub, Mobi
Category : Proof theory
Languages : en
Pages : 396
View: 1848

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An Introduction To Mathematical Proofs

by Nicholas A. Loehr, An Introduction To Mathematical Proofs Books available in PDF, EPUB, Mobi Format. Download An Introduction To Mathematical Proofs books, "This book contains an introduction to mathematical proofs, including fundamental material on logic, proof methods, set theory, number theory, relations, functions, cardinality, and the real number system. The book is divided into approximately fifty brief lectures. Each lecture corresponds rather closely to a single class meeting"--




Mathematical Proofs

Mathematical Proofs PDF
Author: Gary Chartrand
Publisher:
ISBN: 9781292040646
Size: 14.45 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 418
View: 3748

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Mathematical Proofs

by Gary Chartrand, Mathematical Proofs Books available in PDF, EPUB, Mobi Format. Download Mathematical Proofs books, Mathematical Proofs: A Transition to Advanced Mathematics, Third Edition, prepares students for the more abstract mathematics courses that follow calculus. Appropriate for self-study or for use in the classroom, this text introduces students to proof techniques, analyzing proofs, and writing proofs of their own. Written in a clear, conversational style, this book provides a solid introduction to such topics as relations, functions, and cardinalities of sets, as well as the theoretical aspects of fields such as number theory, abstract algebra, and group theory. It is also a great reference text that students can look back to when writing or reading proofs in their more advanced courses.




Logic Sets And The Techniques Of Mathematical Proofs

Logic  Sets and the Techniques of Mathematical Proofs PDF
Author: Brahima Mbodje Ph. D.
Publisher: AuthorHouse
ISBN: 1463429673
Size: 75.18 MB
Format: PDF, Docs
Category : Education
Languages : en
Pages : 356
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Logic Sets And The Techniques Of Mathematical Proofs

by Brahima Mbodje Ph. D., Logic Sets And The Techniques Of Mathematical Proofs Books available in PDF, EPUB, Mobi Format. Download Logic Sets And The Techniques Of Mathematical Proofs books, As its title indicates, this book is about logic, sets and mathematical proofs. It is a careful, patient and rigorous introduction for readers with very limited mathematical maturity. It teaches the reader not only how to read a mathematical proof, but also how to write one. To achieve this, we carefully lay out all the various proof methods encountered in mathematical discourse, give their logical justifications, and apply them to the study of topics [such as real numbers, relations, functions, sequences, fine sets, infinite sets, countable sets, uncountable sets and transfinite numbers] whose mastery is important for anyone contemplating advanced studies in mathematics. The book is completely self-contained; since the prerequisites for reading it are only a sound background in high school algebra. Though this book is meant to be a companion specifically for senior high school pupils and college undergraduate students, it will also be of immense value to anyone interested in acquiring the tools and way of thinking of the mathematician.




The Nuts And Bolts Of Proofs

The Nuts and Bolts of Proofs PDF
Author: Antonella Cupillari
Publisher: Academic Press
ISBN: 0123822173
Size: 35.49 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 283
View: 2748

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The Nuts And Bolts Of Proofs

by Antonella Cupillari, The Nuts And Bolts Of Proofs Books available in PDF, EPUB, Mobi Format. Download The Nuts And Bolts Of Proofs books, The Nuts and Bolts of Proofs instructs students on the primary basic logic of mathematical proofs, showing how proofs of mathematical statements work. The text provides basic core techniques of how to read and write proofs through examples. The basic mechanics of proofs are provided for a methodical approach in gaining an understanding of the fundamentals to help students reach different results. A variety of fundamental proofs demonstrate the basic steps in the construction of a proof and numerous examples illustrate the method and detail necessary to prove various kinds of theorems. New chapter on proof by contradiction New updated proofs A full range of accessible proofs Symbols indicating level of difficulty help students understand whether a problem is based on calculus or linear algebra Basic terminology list with definitions at the beginning of the text




Math Proofs Demystified

Math Proofs Demystified PDF
Author: Stan Gibilisco
Publisher: McGraw Hill Professional
ISBN: 0071469923
Size: 64.94 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 290
View: 4631

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Math Proofs Demystified

by Stan Gibilisco, Math Proofs Demystified Books available in PDF, EPUB, Mobi Format. Download Math Proofs Demystified books, Almost every student has to study some sort of mathematical proofs, whether it be in geometry, trigonometry, or with higher-level topics. In addition, mathematical theorems have become an interesting course for many students outside of the mathematical arena, purely for the reasoning and logic that is needed to complete them. Therefore, it is not uncommon to have philosophy and law students grappling with proofs. This book is the perfect resource for demystifying the techniques and principles that govern the mathematical proof area, and is done with the standard “Demystified” level, questions and answers, and accessibility.




Metamath A Computer Language For Mathematical Proofs

Metamath  A Computer Language for Mathematical Proofs PDF
Author: Norman Megill
Publisher: Lulu.com
ISBN: 0359702236
Size: 38.17 MB
Format: PDF, ePub
Category :
Languages : en
Pages : 248
View: 2487

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Metamath A Computer Language For Mathematical Proofs

by Norman Megill, Metamath A Computer Language For Mathematical Proofs Books available in PDF, EPUB, Mobi Format. Download Metamath A Computer Language For Mathematical Proofs books, Metamath is a computer language and an associated computer program for archiving, verifying, and studying mathematical proofs. The Metamath language is simple and robust, with an almost total absence of hard-wired syntax, and we believe that it provides about the simplest possible framework that allows essentially all of mathematics to be expressed with absolute rigor. While simple, it is also powerful; the Metamath Proof Explorer (MPE) database has over 23,000 proven theorems and is one of the top systems in the ?Formalizing 100 Theorems? challenge. This book explains the Metamath language and program, with specific emphasis on the fundamentals of the MPE database.




Q E D

Q E D PDF
Author: Burkard Polster
Publisher: Wooden
ISBN: 9781904263500
Size: 43.42 MB
Format: PDF, Mobi
Category : Proof theory
Languages : en
Pages : 64
View: 4759

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Q E D

by Burkard Polster, Q E D Books available in PDF, EPUB, Mobi Format. Download Q E D books, 'Q.E.D.' presents some of the most famous mathematical proofs in a charming book that will appeal to non-mathematicians and experts alike.




Science Of Learning Mathematical Proofs The An Introductory Course

Science Of Learning Mathematical Proofs  The  An Introductory Course PDF
Author: Elana Reiser
Publisher: World Scientific
ISBN: 9811225532
Size: 76.78 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 244
View: 7761

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Science Of Learning Mathematical Proofs The An Introductory Course

by Elana Reiser, Science Of Learning Mathematical Proofs The An Introductory Course Books available in PDF, EPUB, Mobi Format. Download Science Of Learning Mathematical Proofs The An Introductory Course books, College students struggle with the switch from thinking of mathematics as a calculation based subject to a problem solving based subject. This book describes how the introduction to proofs course can be taught in a way that gently introduces students to this new way of thinking. This introduction utilizes recent research in neuroscience regarding how the brain learns best. Rather than jumping right into proofs, students are first taught how to change their mindset about learning, how to persevere through difficult problems, how to work successfully in a group, and how to reflect on their learning. With these tools in place, students then learn logic and problem solving as a further foundation.Next various proof techniques such as direct proofs, proof by contraposition, proof by contradiction, and mathematical induction are introduced. These proof techniques are introduced using the context of number theory. The last chapter uses Calculus as a way for students to apply the proof techniques they have learned.