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The Nuts and Bolts of Proofs

The Nuts and Bolts of Proofs
An Introduction to Mathematical Proofs

by Antonella Cupillari

  • Publisher : Academic Press
  • Release : 2012
  • Pages : 283
  • ISBN : 0123822173
  • Language : En, Es, Fr & De
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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
A Book

by Antonella Cupillari

  • Publisher : Academic Press
  • Release : 2001
  • Pages : 149
  • ISBN : 9780121994518
  • Language : En, Es, Fr & De
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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

The Nuts and Bolts of Proofs

The Nuts and Bolts of Proofs
A Book

by Antonella Cupillari

  • Publisher : Unknown Publisher
  • Release : 2005
  • Pages : 179
  • ISBN : 9780120880591
  • Language : En, Es, Fr & De
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The Nuts and Bolts of Proofs, 4th Edition

The Nuts and Bolts of Proofs, 4th Edition
A Book

by Antonella Cupillari

  • Publisher : Unknown Publisher
  • Release : 2011
  • Pages : 296
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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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.

Advanced Calculus

Advanced Calculus
A Transition to Analysis

by Thomas P. Dence,Joseph B. Dence

  • Publisher : Academic Press
  • Release : 2009-12-02
  • Pages : 392
  • ISBN : 9780080959320
  • Language : En, Es, Fr & De
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Advanced Calculus explores the theory of calculus and highlights the connections between calculus and real analysis – providing a mathematically sophisticated introduction to functional analytical concepts. The text is interesting to read and includes many illustrative worked-out examples and instructive exercises, and precise historical notes to aid in further exploration of calculus. It covers exponential function, and the development of trigonometric functions from the integral. The text is designed for a one-semester advanced calculus course for advanced undergraduates or graduate students. Appropriate rigor for a one-semester advanced calculus course Presents modern materials and nontraditional ways of stating and proving some results Includes precise historical notes throughout the book outstanding feature is the collection of exercises in each chapter Provides coverage of exponential function, and the development of trigonometric functions from the integral

Debugging by Thinking

Debugging by Thinking
A Multidisciplinary Approach

by Robert C. Metzger

  • Publisher : Digital Press
  • Release : 2004
  • Pages : 567
  • ISBN : 1555583075
  • Language : En, Es, Fr & De
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Debugging by Thinking: A Multi-Disciplinary Approach is the first book to apply the wisdom of six disciplines-logic, mathematics, psychology, safety analysis, computer science, and engineering-to the problem of debugging. It uses the methods of literary detectives such as Sherlock Holmes, the techniques of mathematical problem solving, the results of research into the cognitive psychology of human error, the root cause analyses of safety experts, the compiler analyses of computer science, and the processes of modern engineering to define a systematic approach to identifying and correcting software errors. * Language Independent Methods: Examples are given in Java and C++ * Complete source code shows actual bugs, rather than contrived examples * Examples are accessible with no more knowledge than a course in Data Structures and Algorithms requires * A "thought process diary" shows how the author actually resolved the problems as they occurred

How to Read and Do Proofs

How to Read and Do Proofs
An Introduction to Mathematical Thought Processes

by Daniel Solow

  • Publisher : John Wiley & Sons
  • Release : 2013-07-29
  • Pages : 336
  • ISBN : 1118164024
  • Language : En, Es, Fr & De
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This text makes a great supplement and provides a systematic approach for teaching undergraduate and graduate students how to read, understand, think about, and do proofs. The approach is to categorize, identify, and explain (at the student's level) the various techniques that are used repeatedly in all proofs, regardless of the subject in which the proofs arise. How to Read and Do Proofs also explains when each technique is likely to be used, based on certain key words that appear in the problem under consideration. Doing so enables students to choose a technique consciously, based on the form of the problem.

Understanding Mathematical Proof

Understanding Mathematical Proof
A Book

by John Taylor,Rowan Garnier

  • Publisher : CRC Press
  • Release : 2016-04-19
  • Pages : 414
  • ISBN : 1466514914
  • Language : En, Es, Fr & De
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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

Green Design and Manufacturing for Sustainability

Green Design and Manufacturing for Sustainability
A Book

by Nand K. Jha

  • Publisher : CRC Press
  • Release : 2015-12-02
  • Pages : 828
  • ISBN : 1482282380
  • Language : En, Es, Fr & De
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Written by an educator with close to 40 years of experience in developing and teaching design and manufacturing courses at the graduate and undergraduate levels, Green Design and Manufacturing for Sustainability integrates green design and manufacturing within the framework of sustainability, emphasizing cost, recyclables, and reuse. It includes th

A Transition to Proof

A Transition to Proof
An Introduction to Advanced Mathematics

by Neil R. Nicholson

  • Publisher : CRC Press
  • Release : 2019-03-21
  • Pages : 450
  • ISBN : 0429522002
  • Language : En, Es, Fr & De
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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

What Every Engineer Should Know about Threaded Fasteners

What Every Engineer Should Know about Threaded Fasteners
Materials and Design

by Alexander Blake

  • Publisher : CRC Press
  • Release : 1986-08-29
  • Pages : 216
  • ISBN : 9780849383793
  • Language : En, Es, Fr & De
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United States Congressional Serial Set

United States Congressional Serial Set
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1886
  • Pages : 129
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Report of the Tests of Metals and Other Materials for Industrial Purposes Made with the United States Testing Machine at Watertown Arsenal, Massachusetts, During the Year Ended ...

Report of the Tests of Metals and Other Materials for Industrial Purposes Made with the United States Testing Machine at Watertown Arsenal, Massachusetts, During the Year Ended ...
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1898
  • Pages : 129
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Absolute Proof

Absolute Proof
The Richard and Judy Book Club Summer Blockbuster

by Peter James

  • Publisher : Pan Macmillan
  • Release : 2018-10-04
  • Pages : 129
  • ISBN : 023077220X
  • Language : En, Es, Fr & De
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'Sensational – the best what-if thriller since The Da Vinci Code' - Lee Child, author of Killing Floor. From the number one bestselling author, Peter James, comes an explosive standalone thriller for fans of Dan Brown that will grip you and won't let go until the very last page. Investigative reporter Ross Hunter nearly didn’t answer the phone call that would change his life – and possibly the world – for ever. ‘I’d just like to assure you I’m not a nutcase, Mr Hunter. My name is Dr Harry F. Cook. I know this is going to sound strange, but I’ve recently been given absolute proof of God’s existence – and I’ve been advised there is a writer, a respected journalist called Ross Hunter, who could help me to get taken seriously.’ What would it take to prove the existence of God? And what would be the consequences? This question and its answer lie at the heart of Absolute Proof, an international thriller from bestselling author Peter James. The false faith of a billionaire evangelist, the life’s work of a famous atheist, and the credibility of each of the world’s major religions are all under threat. If Ross Hunter can survive long enough to present the evidence . . .

Handbook of Bolts and Bolted Joints

Handbook of Bolts and Bolted Joints
A Book

by John Bickford

  • Publisher : CRC Press
  • Release : 1998-04-28
  • Pages : 911
  • ISBN : 1482273780
  • Language : En, Es, Fr & De
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Presenting time-tested standard as well as reliable emerging knowledge on threaded fasteners and joints, this book covers how to select parts and materials, predict behavior, control assembly processes, and solve on-the-job problems. It examines key issues affecting bolting in the automotive, pressure vessel, petrochemical, aerospace, and structura

Proceedings of the Seventh Annual ACM-SIAM Symposium on Discrete Algorithms

Proceedings of the Seventh Annual ACM-SIAM Symposium on Discrete Algorithms
A Book

by Anonim

  • Publisher : SIAM
  • Release : 1996-01-01
  • Pages : 586
  • ISBN : 9780898713664
  • Language : En, Es, Fr & De
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This text covers the proceedings of the Seventh Annual ACM-SIAM Symposium on Discrete Algorithms, which was held in Atlanta, Georgia, in January 1996.

High-strength Bolts for Bridges

High-strength Bolts for Bridges
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1991
  • Pages : 129
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Certified Programs and Proofs

Certified Programs and Proofs
First International Conference, CPP 2011, Kenting, Taiwan, December 7-9, 2011, Proceedings

by Jean-Pierre Jouannaud,Zhong Shao

  • Publisher : Springer Science & Business Media
  • Release : 2011-11-18
  • Pages : 401
  • ISBN : 3642253784
  • Language : En, Es, Fr & De
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This book constitutes the referred proceedings of the First International Conference on Certified Programs and Proofs, CPP 2011, held in Kenting, Taiwan, in December 2011. The 24 revised regular papers presented together with 4 invited talks were carefully reviewed and selected from 49 submissions. They are organized in topical sections on logic and types, certificates, formalization, proof assistants, teaching, programming languages, hardware certification, miscellaneous, and proof perls.

Root Cause Failure Analysis

Root Cause Failure Analysis
A Guide to Improve Plant Reliability

by Trinath Sahoo

  • Publisher : John Wiley & Sons
  • Release : 2021-05-05
  • Pages : 352
  • ISBN : 1119615593
  • Language : En, Es, Fr & De
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Root Cause Failure Analysis Provides the knowledge and failure analysis skills necessary for preventing and investigating process equipment failures Process equipment and piping systems are essential for plant availability and performance. Regularly exposed to hazardous service conditions and damage mechanisms, these critical plant assets can result in major failures if not effectively monitored and assessed—potentially causing serious injuries and significant business losses. When used proactively, Root Cause Failure Analysis (RCFA) helps reliability engineers inspect the process equipment and piping system before any abnormal conditions occur. RCFA is equally important after a failure happens: it determines the impact of a failure, helps control the resultant damage, and identifies the steps for preventing future problems. Root Cause Failure Analysis: A Guide to Improve Plant Reliability offers readers clear understanding of degradation mechanisms of process equipment and the concepts needed to perform industrial RCFA investigations. This comprehensive resource describes the methodology of RCFA and provides multiple techniques and industry practices for identifying, predicting, and evaluating equipment failures. Divided into two parts, the text first introduces Root Cause Analysis, explains the failure analysis process, and discusses the management of both human and latent error. The second part focuses on failure analysis of various components such as bolted joints, mechanical seals, steam traps, gearboxes, bearings, couplings, pumps, and compressors. This authoritative volume: Illustrates how failures are associated with part integrity, a complete system, or the execution of an engineering process Describes how proper design, operation, and maintenance of the equipment help to enhance their reliability Covers analysis techniques and industry practices including 5-Why RCFA, fault tree analysis, Pareto charts, and Ishikawa diagrams Features a detailed case study of process plant machinery and a chapter on proactive measures for avoiding failures Bridging the gap between engineering education and practical application, Root Cause Failure Analysis: A Guide to Improve Plant Reliability is an important reference and guide for industrial professionals, including process plant engineers, planning managers, operation and maintenance engineers, process designers, chemical engineers, and instrument engineers. It is also a valuable text for researchers, instructors, and students in relevant areas of engineering and science.

Design Engineer's Sourcebook

Design Engineer's Sourcebook
A Book

by K. L. Richards

  • Publisher : CRC Press
  • Release : 2017-12-15
  • Pages : 1182
  • ISBN : 1498763448
  • Language : En, Es, Fr & De
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Design Engineer's Sourcebook provides a practical resource for engineers, product designers, technical managers, students, and others needing a design-oriented reference. This volume covers the mathematics, mechanics, and materials properties needed for analysis and design, with numerous examples. A wide range of mechanical components and mechanisms are then covered, with case studies interspersed to show real engineering practice. Manufacturing is then surveyed, in the context of mechanical design. The book concludes with information on clutches, brakes, transmission and other topics important for vehicle engineering. Tables, figures and charts are included for reference.