Mathematical Proofs


Mathematical Proofs
Author: Brahima Mbodje Ph. D.
Publisher: AuthorHouse
ISBN: 1463429673
Size: 17.72 MB
Format: PDF, ePub, Mobi
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Logic Sets And The Techniques Of Mathematical Proofs

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.


Logic, Sets and the Techniques of Mathematical Proofs
Language: en
Pages: 356
Authors: Brahima Mbodje Ph. D.
Categories: Education
Type: BOOK - Published: 2011-06-01 - Publisher: AuthorHouse
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
Metamath: A Computer Language for Mathematical Proofs
Language: en
Pages: 248
Authors: Norman Megill, David A. Wheeler
Categories: Education
Type: BOOK - Published: 2019-06-06 - Publisher: Lulu.com
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
Introduction to Mathematical Proofs
Language: en
Pages: 433
Authors: Charles Roberts
Categories: Mathematics
Type: BOOK - Published: 2009-06-24 - Publisher: CRC Press
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
Mathematical Proofs
Language: en
Pages: 365
Authors: Gary Chartrand, Albert D. Polimeni, Ping Zhang
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: Addison-Wesley Longman
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
Understanding Mathematical Proof
Language: en
Pages: 414
Authors: John Taylor, Rowan Garnier
Categories: Mathematics
Type: BOOK - Published: 2016-04-19 - Publisher: CRC Press
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
An Introduction to Mathematical Proofs
Language: en
Pages: 396
Authors: Nicholas A. Loehr
Categories: Mathematics
Type: BOOK - Published: 2019-11-20 - Publisher: CRC Press
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
Famous Mathematical Proofs
Language: en
Pages: 256
Authors: Edited by Paul F. Kisak
Categories: Mathematics
Type: BOOK - Published: 2015-11-20 - Publisher: Createspace Independent Publishing Platform
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
Mathematical Proofs: Pearson New International Edition
Language: en
Pages: 424
Authors: Gary Chartrand, Albert D. Polimeni, Ping Zhang
Categories: Mathematics
Type: BOOK - Published: 2013-10-03 - Publisher: Pearson Higher Ed
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,
The Nuts and Bolts of Proofs
Language: en
Pages: 192
Authors: Antonella Cupillari
Categories: Mathematics
Type: BOOK - Published: 2005-09-08 - Publisher: Academic Press
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
Mathematical Proofs
Language: en
Pages: 60
Authors: Source Wikipedia
Categories: Mathematics
Type: BOOK - Published: 2013-09 - Publisher: Booksllc.Net
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 58. Chapters: Back-and-forth method, Bijective proof, Cantor's diagonal argument, Combinatorial proof, Commutative diagram, Conditional proof, Constructive proof, Direct proof, Double counting (proof technique), Elementary proof, Equalization (proof), Law of