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- Logic Sets and the Techniques of Mathematical Proofs

- Author : Brahima Mbodje Ph. D.
- Publsiher : AuthorHouse
- Release : 01 June 2011
- ISBN : 1463429673
- Pages : 356 pages
- Rating : /5 from reviews

GET THIS BOOKLogic Sets and the Techniques of Mathematical Proofs

Download or read book entitled *Logic Sets and the Techniques of Mathematical Proofs* by author: *Brahima Mbodje Ph. D.* which was release on *01 June 2011* and published by *AuthorHouse* with total page 356 pages . This book available in PDF, EPUB and Kindle Format. 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.

- Author : Brahima Mbodje Ph. D.
- Publisher : AuthorHouse
- Release Date : 2011-06-01
- Total pages : 356
- ISBN : 1463429673

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**Summary :** 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 ...

- Author : Gary Chartrand,Albert D. Polimeni,Ping Zhang
- Publisher : Addison-Wesley Longman
- Release Date : 2008
- Total pages : 365
- ISBN : 1463429673

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**Summary :** 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 ...

- Author : Norman Megill,David A. Wheeler
- Publisher : Lulu.com
- Release Date : 2019-06-06
- Total pages : 248
- ISBN : 1463429673

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**Summary :** 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 ...

- Author : Nicholas A. Loehr
- Publisher : CRC Press
- Release Date : 2019-11-20
- Total pages : 396
- ISBN : 1463429673

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**Summary :** 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 ...

- Author : Charles Roberts
- Publisher : CRC Press
- Release Date : 2009-06-24
- Total pages : 433
- ISBN : 1463429673

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**Summary :** 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 ...

- Author : Joel David Hamkins
- Publisher : Unknown
- Release Date : 2021-02-23
- Total pages : 132
- ISBN : 1463429673

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**Summary :** 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 ...

- Author : John Taylor,Rowan Garnier
- Publisher : CRC Press
- Release Date : 2016-04-19
- Total pages : 414
- ISBN : 1463429673

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**Summary :** 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...

- Author : Hawksworth Collins
- Publisher : Unknown
- Release Date : 1913
- Total pages : 105
- ISBN : 1463429673

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**Summary :** Read online One Hundred Simple and Exact Mathematical Proofs that the Valencies of Carbon are Unequal written by Hawksworth Collins, published by which was released on 1913. Download full One Hundred Simple and Exact Mathematical Proofs that the Valencies of Carbon are Unequal Books now! Available in PDF, ePub and Kindle....

- Author : Edited by Paul F. Kisak
- Publisher : Createspace Independent Publishing Platform
- Release Date : 2015-11-20
- Total pages : 256
- ISBN : 1463429673

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**Summary :** 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 ...

- Author : Gary Chartrand,Albert D. Polimeni,Ping Zhang
- Publisher : Pearson Higher Ed
- Release Date : 2013-10-03
- Total pages : 424
- ISBN : 1463429673

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**Summary :** 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, ...

- Author : Rowan Garnier,John Taylor
- Publisher : John Wiley & Son Limited
- Release Date : 1996-08
- Total pages : 317
- ISBN : 1463429673

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**Summary :** "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 ...

- Author : Peter J. Eccles
- Publisher : Cambridge University Press
- Release Date : 2013-06-26
- Total pages : 364
- ISBN : 1463429673

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**Summary :** This book eases students into the rigors of university mathematics. The emphasis is on understanding and constructing proofs and writing clear mathematics. The author achieves this by exploring set theory, combinatorics, and number theory, topics that include many fundamental ideas and may not be a part of a young mathematician's ...

- Author : Antonella Cupillari
- Publisher : Academic Press
- Release Date : 2005-09-08
- Total pages : 192
- ISBN : 1463429673

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**Summary :** 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 ...

- Author : Charles Matthews
- Publisher : Createspace Independent Publishing Platform
- Release Date : 2018-05-05
- Total pages : 166
- ISBN : 1463429673

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**Summary :** 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 ...

- Author : Amy Babich,Laura Person
- Publisher : Courier Dover Publications
- Release Date : 2019-08-14
- Total pages : 256
- ISBN : 1463429673

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**Summary :** 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 ...