The Nuts and Bolts of Proofs

The Nuts and Bolts of Proofs
Author: Antonella Cupillari
Publsiher: Academic Press
Total Pages: 283
Release: 2012
Genre: Mathematics
ISBN: 9780123822178

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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

The Nuts and Bolts of Proofs

The Nuts and Bolts of Proofs
Author: Antonella Cupillari
Publsiher: Academic Press
Total Pages: 149
Release: 2001
Genre: Mathematics
ISBN: 0121994511

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This book leads readers through a progressive explanation of what mathematical proofs are, why they are important, and how they work, along with a presentation of basic techniques used to construct proofs. The Second Edition presents more examples, more exercises, a more complete treatment of mathematical induction and set theory, and it incorporates suggestions from students and colleagues. Since the mathematical concepts used are relatively elementary, the book can be used as a supplement in any post-calculus course. This title has been successfully class-tested for years. There is an index for easier reference, a more extensive list of definitions and concepts, and an updated bibliography. An extensive collection of exercises with complete answers are provided, enabling students to practice on their own. Additionally, there is a set of problems without solutions to make it easier for instructors to prepare homework assignments. * Successfully class-tested over a number of years * Index for easy reference * Extensive list of definitions and concepts * Updated biblography

A Transition to Proof

A Transition to Proof
Author: Neil R. Nicholson
Publsiher: CRC Press
Total Pages: 450
Release: 2019-03-21
Genre: Mathematics
ISBN: 9780429535475

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A Transition to Proof: An Introduction to Advanced Mathematics describes writing proofs as a creative process. There is a lot that goes into creating a mathematical proof before writing it. Ample discussion of how to figure out the "nuts and bolts'" of the proof takes place: thought processes, scratch work and ways to attack problems. Readers will learn not just how to write mathematics but also how to do mathematics. They will then learn to communicate mathematics effectively. The text emphasizes the creativity, intuition, and correct mathematical exposition as it prepares students for courses beyond the calculus sequence. The author urges readers to work to define their mathematical voices. This is done with style tips and strict "mathematical do’s and don’ts", which are presented in eye-catching "text-boxes" throughout the text. The end result enables readers to fully understand the fundamentals of proof. Features: The text is aimed at transition courses preparing students to take analysis Promotes creativity, intuition, and accuracy in exposition The language of proof is established in the first two chapters, which cover logic and set theory Includes chapters on cardinality and introductory topology

The Nuts and Bolts of Proofs 4th Edition

The Nuts and Bolts of Proofs  4th Edition
Author: Antonella Cupillari
Publsiher: Unknown
Total Pages: 296
Release: 2011
Genre: Electronic Book
ISBN: OCLC:1192535079

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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. Jumps right in with the needed vocabulary-gets students thinking like mathematicians from the beginning Offers a large variety of examples and problems with solutions for students to work through on their own Includes a collection of exercises without solutions to help instructors prepare assignments Contains an extensive list of basic mathematical definitions and concepts needed in abstract mathematics.

The Nuts and bolts of Paced ECG Interpretation

The Nuts and bolts of Paced ECG Interpretation
Author: Tom Kenny
Publsiher: John Wiley & Sons
Total Pages: 488
Release: 2011-09-07
Genre: Medical
ISBN: 9781444357073

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Nothing is more perplexing to the clinician new to device therapy than having to deal with cardiac electrocardiograms from a device patient. Pacemakers and other implantable cardiac rhythm management devices leave their “imprint” on ECGs and can significantly change what clinicians see - or expect to see. Evaluating paced ECGs can be challenging, yet nowhere is it taught in any sort of comprehensive manner. Designed specifically for clinicians new to device therapy, The Nuts and Bolts of Interpreting Paced ECGs and EGMs offers practical, reliable and objective information on paced cardiac electrograms. Written in a lively, intelligent and easy to navigate style, emphasizing real-life clinical practice and practical tips, this book includes illustrated paced ECGs by skilled artists to help minimize “fuzzy” lines and emphasize key points. Each chapter concludes with a checklist of key points from each subject (“Nuts and Bolts”).

The Nuts and Bolts of Proofs

The Nuts and Bolts of Proofs
Author: Antonella Cupillari
Publsiher: Unknown
Total Pages: 179
Release: 2005
Genre: Electronic Book
ISBN: 0120880598

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Crossed Products of C Algebras Topological Dynamics and Classification

Crossed Products of C  Algebras  Topological Dynamics  and Classification
Author: Thierry Giordano,David Kerr,N. Christopher Phillips,Andrew Toms
Publsiher: Springer
Total Pages: 498
Release: 2018-08-28
Genre: Mathematics
ISBN: 9783319708690

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This book collects the notes of the lectures given at an Advanced Course on Dynamical Systems at the Centre de Recerca Matemàtica (CRM) in Barcelona. The notes consist of four series of lectures. The first one, given by Andrew Toms, presents the basic properties of the Cuntz semigroup and its role in the classification program of simple, nuclear, separable C*-algebras. The second series of lectures, delivered by N. Christopher Phillips, serves as an introduction to group actions on C*-algebras and their crossed products, with emphasis on the simple case and when the crossed products are classifiable. The third one, given by David Kerr, treats various developments related to measure-theoretic and topological aspects of crossed products, focusing on internal and external approximation concepts, both for groups and C*-algebras. Finally, the last series of lectures, delivered by Thierry Giordano, is devoted to the theory of topological orbit equivalence, with particular attention to the classification of minimal actions by finitely generated abelian groups on the Cantor set.

Book of Proof

Book of Proof
Author: Richard H. Hammack
Publsiher: Unknown
Total Pages: 314
Release: 2016-01-01
Genre: Mathematics
ISBN: 0989472116

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This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.