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Introduction To Mathematical Proofs

Introduction to Mathematical Proofs PDF
Author: Charles Roberts
Publisher: CRC Press
ISBN: 1482246880
Size: 43.42 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : un
Pages : 414
View: 194

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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.




Mathematical Proofs

Mathematical Proofs PDF
Author: Gary Chartrand
Publisher:
ISBN: 9781292040646
Size: 46.16 MB
Format: PDF
Category : Mathematics
Languages : un
Pages : 418
View: 3288

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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.




Math Proofs Demystified

Math Proofs Demystified PDF
Author: Stan Gibilisco
Publisher: McGraw Hill Professional
ISBN: 0071469923
Size: 10.74 MB
Format: PDF, Mobi
Category : Mathematics
Languages : un
Pages : 290
View: 270

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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.




Introduction To Mathematical Proofs

Introduction to Mathematical Proofs PDF
Author: Charles Roberts
Publisher: CRC Press
ISBN: 9781420069563
Size: 64.38 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 433
View: 869

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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, Shows How to Read & Write Mathematical Proofs Ideal Foundation for More Advanced Mathematics Courses Introduction to Mathematical Proofs: A Transition facilitates a smooth transition from courses designed to develop computational skills and problem solving abilities to courses that emphasize theorem proving. It helps students develop the skills necessary 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. 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 will prepare them to succeed in more advanced mathematics courses, such as abstract algebra and geometry.




Mathematical Proofs

Mathematical Proofs PDF
Author: Gary Chartrand
Publisher: Addison-Wesley
ISBN:
Size: 10.37 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : en
Pages : 289
View: 6650

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Mathematical Proofs

by Gary Chartrand, Mathematical Proofs Books available in PDF, EPUB, Mobi Format. Download Mathematical Proofs books, Mathematical Proofs is designed to prepare students for the more abstract mathematics courses that follow calculus. This text introduces students to proof techniques and writing proofs of their own. As such, it is an introduction to the mathematics enterprise providing solid introductions to relations, functions, and cardinalities of sets.




Das Buch Der Beweise

Das BUCH der Beweise PDF
Author: Martin Aigner
Publisher: Springer-Verlag
ISBN: 3662064545
Size: 24.35 MB
Format: PDF, ePub, Docs
Category : Mathematics
Languages : de
Pages : 247
View: 5722

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Das Buch Der Beweise

by Martin Aigner, Das Buch Der Beweise Books available in PDF, EPUB, Mobi Format. Download Das Buch Der Beweise books, Die elegantesten mathematischen Beweise, spannend und für jeden Interessierten verständlich. "Der Beweis selbst, seine Ästhetik, seine Pointe geht ins Geschichtsbuch der Königin der Wissenschaften ein. Ihre Anmut offenbart sich in dem gelungenen und geschickt illustrierten Buch." Die Zeit




Metamath A Computer Language For Mathematical Proofs

Metamath  A Computer Language for Mathematical Proofs PDF
Author: Norman Megill
Publisher: Lulu.com
ISBN: 0359702236
Size: 59.13 MB
Format: PDF
Category :
Languages : en
Pages : 248
View: 2196

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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.




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: 27.92 MB
Format: PDF, Docs
Category : Education
Languages : un
Pages : 356
View: 7224

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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.




100 Mathematical Proof

100  Mathematical Proof PDF
Author: Rowan Garnier
Publisher: John Wiley & Son Limited
ISBN:
Size: 46.99 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 317
View: 4818

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100 Mathematical Proof

by Rowan Garnier, 100 Mathematical Proof Books available in PDF, EPUB, Mobi Format. Download 100 Mathematical Proof books, "Proof" has been and remains one of the concepts which characterises mathematics. Covering basic propositional and predicate logic as well as discussing axiom systems and formal proofs, the book seeks to explain what mathematicians understand by proofs and how they are communicated. The authors explore the principle techniques of direct and indirect proof including induction, existence and uniqueness proofs, proof by contradiction, constructive and non-constructive proofs, etc. Many examples from analysis and modern algebra are included. The exceptionally clear style and presentation ensures that the book will be useful and enjoyable to those studying and interested in the notion of mathematical "proof."