Logic Sets and the Techniques of Mathematical Proofs

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  • Author : Brahima Mbodje Ph. D.
  • Publisher : AuthorHouse
  • Pages : 356 pages
  • ISBN : 1463429673
  • Rating : /5 from reviews
CLICK HERE TO GET THIS BOOK >>>Logic Sets and the Techniques of Mathematical Proofs

Download or Read online Logic Sets and the Techniques of Mathematical Proofs full in PDF, ePub and kindle. this book written by Brahima Mbodje Ph. D. and published by AuthorHouse which was released on 01 June 2011 with total page 356 pages. We cannot guarantee that Logic Sets and the Techniques of Mathematical Proofs book is available in the library, click Get Book button and read full online book in your kindle, tablet, IPAD, PC or mobile whenever and wherever You Like. 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.

Logic Sets and the Techniques of Mathematical Proofs

Logic  Sets and the Techniques of Mathematical Proofs
  • Author : Brahima Mbodje Ph. D.
  • Publisher : AuthorHouse
  • Release : 01 June 2011
GET THIS BOOK Logic Sets and the Techniques of Mathematical Proofs

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,

Mathematical Proofs

Mathematical Proofs
  • Author : Gary Chartrand,Albert D. Polimeni,Ping Zhang
  • Publisher : Addison-Wesley Longman
  • Release : 15 May 2021
GET THIS BOOK Mathematical Proofs

Mathematical Proofs: A Transition to Advanced Mathematics, 2/e, prepares 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. KEY TOPICS: Communicating Mathematics, Sets, Logic, Direct Proof and Proof by Contrapositive, More on Direct Proof and Proof by Contrapositive, Existence and Proof by Contradiction, Mathematical Induction, Prove

Metamath A Computer Language for Mathematical Proofs

Metamath  A Computer Language for Mathematical Proofs
  • Author : Norman Megill,David A. Wheeler
  • Publisher : Lulu.com
  • Release : 06 June 2019
GET THIS BOOK Metamath A Computer Language for Mathematical Proofs

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 ?

An Introduction to Mathematical Proofs

An Introduction to Mathematical Proofs
  • Author : Nicholas A. Loehr
  • Publisher : CRC Press
  • Release : 20 November 2019
GET THIS BOOK An Introduction to Mathematical Proofs

An Introduction to Mathematical Proofs presents fundamental material on logic, proof methods, set theory, number theory, relations, functions, cardinality, and the real number system. The text uses a methodical, detailed, and highly structured approach to proof techniques and related topics. No prerequisites are needed beyond high-school algebra. New material is presented in small chunks that are easy for beginners to digest. The author offers a friendly style without sacrificing mathematical rigor. Ideas are developed through motivating examples, precise definitions, carefully

Proof and the Art of Mathematics

Proof and the Art of Mathematics
  • Author : Joel David Hamkins
  • Publisher : Unknown
  • Release : 23 February 2021
GET THIS BOOK Proof and the Art of Mathematics

How to write mathematical proofs, shown in fully-worked out examples. This is a companion volume Joel Hamkins's Proof and the Art of Mathematics, providing fully worked-out solutions to all of the odd-numbered exercises as well as a few of the even-numbered exercises. In many cases, the solutions go beyond the exercise question itself to the natural extensions of the ideas, helping readers learn how to approach a mathematical investigation. As Hamkins asks, "Once you have solved a problem, why not

Introduction to Mathematical Proofs

Introduction to Mathematical Proofs
  • Author : Charles Roberts
  • Publisher : CRC Press
  • Release : 24 June 2009
GET THIS BOOK Introduction to Mathematical Proofs

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

Understanding Mathematical Proof

Understanding Mathematical Proof
  • Author : John Taylor,Rowan Garnier
  • Publisher : CRC Press
  • Release : 19 April 2016
GET THIS BOOK Understanding Mathematical Proof

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

Famous Mathematical Proofs

Famous Mathematical Proofs
  • Author : Edited by Paul F. Kisak
  • Publisher : Createspace Independent Publishing Platform
  • Release : 20 November 2015
GET THIS BOOK Famous Mathematical Proofs

In mathematics, a proof is a deductive argument for a mathematical statement. In the argument, other previously established statements, such as theorems, can be used. In principle, a proof can be traced back to self-evident or assumed statements, known as axioms. Proofs are examples of deductive reasoning and are distinguished from inductive or empirical arguments; a proof must demonstrate that a statement is always true (occasionally by listing all possible cases and showing that it holds in each), rather than

Mathematical Proofs Pearson New International Edition

Mathematical Proofs  Pearson New International Edition
  • Author : Gary Chartrand,Albert D. Polimeni,Ping Zhang
  • Publisher : Pearson Higher Ed
  • Release : 03 October 2013
GET THIS BOOK Mathematical Proofs Pearson New International Edition

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,

100 Mathematical Proof

100  Mathematical Proof
  • Author : Rowan Garnier,John Taylor
  • Publisher : John Wiley & Son Limited
  • Release : 01 August 1996
GET THIS BOOK 100 Mathematical Proof

"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

Fundamentals of Mathematical Proof

Fundamentals of Mathematical Proof
  • Author : Charles Matthews
  • Publisher : Createspace Independent Publishing Platform
  • Release : 05 May 2018
GET THIS BOOK Fundamentals of Mathematical Proof

This mathematics textbook covers the fundamental ideas used in writing proofs. Proof techniques covered include direct proofs, proofs by contrapositive, proofs by contradiction, proofs in set theory, proofs of existentially or universally quantified predicates, proofs by cases, and mathematical induction. Inductive and deductive reasoning are explored. A straightforward approach is taken throughout. Plenty of examples are included and lots of exercises are provided after each brief exposition on the topics at hand. The text begins with a study of symbolic

The Nuts and Bolts of Proofs

The Nuts and Bolts of Proofs
  • Author : Antonella Cupillari
  • Publisher : Academic Press
  • Release : 08 September 2005
GET THIS BOOK The Nuts and Bolts of Proofs

The Nuts and Bolts of Proof instructs students on the basic logic of mathematical proofs, showing how and why proofs of mathematical statements work. It provides them with techniques they can use to gain an inside view of the subject, reach other results, remember results more easily, or rederive them if the results are forgotten.A flow chart graphically demonstrates the basic steps in the construction of any proof and numerous examples illustrate the method and detail necessary to prove

Write Your Own Proofs

Write Your Own Proofs
  • Author : Amy Babich,Laura Person
  • Publisher : Courier Dover Publications
  • Release : 14 August 2019
GET THIS BOOK Write Your Own Proofs

Written by a pair of math teachers and based on their classroom notes and experiences, this introductory treatment of theory, proof techniques, and related concepts is designed for undergraduate courses. No knowledge of calculus is assumed, making it a useful text for students at many levels. The focus is on teaching students to prove theorems and write mathematical proofs so that others can read them. Since proving theorems takes lots of practice, this text is designed to provide plenty of

Science Of Learning Mathematical Proofs The An Introductory Course

Science Of Learning Mathematical Proofs  The  An Introductory Course
  • Author : Elana Reiser
  • Publisher : World Scientific
  • Release : 25 November 2020
GET THIS BOOK Science Of Learning Mathematical Proofs The An Introductory Course

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