The Nuts and Bolts of Proofs

The Nuts and Bolts of Proofs PDF Author: Antonella Cupillari
Publisher: Academic Press
ISBN: 0080537901
Category : Mathematics
Languages : en
Pages : 193

Get Book

Book Description
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 various kinds of theorems. * The "List of Symbols" has been extended.* Set Theory section has been strengthened with more examples and exercises.* Addition of "A Collection of Proofs"

The Nuts and Bolts of Proofs

The Nuts and Bolts of Proofs PDF Author: Antonella Cupillari
Publisher: Academic Press
ISBN: 0080537901
Category : Mathematics
Languages : en
Pages : 193

Get Book

Book Description
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 various kinds of theorems. * The "List of Symbols" has been extended.* Set Theory section has been strengthened with more examples and exercises.* Addition of "A Collection of Proofs"

The Nuts and Bolts of Proofs

The Nuts and Bolts of Proofs PDF Author: Antonella Cupillari
Publisher: Academic Press
ISBN: 0123822173
Category : Mathematics
Languages : en
Pages : 297

Get Book

Book Description
Annotation 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 beginningOffers a large variety of examples and problems with solutions for students to work through on their ownIncludes a collection of exercises without solutions to help instructors prepare assignmentsContains an extensive list of basic mathematical definitions and concepts needed in abstract mathematics.

The Nuts and Bolts of Proofs

The Nuts and Bolts of Proofs PDF Author: Antonella Cupillari
Publisher:
ISBN: 9780120880591
Category :
Languages : en
Pages : 179

Get Book

Book Description


Advanced Calculus

Advanced Calculus PDF Author: Thomas P. Dence
Publisher: Academic Press
ISBN: 9780080959320
Category : Mathematics
Languages : en
Pages : 392

Get Book

Book Description
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 PDF Author: Robert C. Metzger
Publisher: Digital Press
ISBN: 1555583075
Category : Computers
Languages : en
Pages : 595

Get Book

Book Description
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

Green Design and Manufacturing for Sustainability

Green Design and Manufacturing for Sustainability PDF Author: Nand K. Jha
Publisher: CRC Press
ISBN: 1482282380
Category : Science
Languages : en
Pages : 817

Get Book

Book Description
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

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 ... PDF Author:
Publisher:
ISBN:
Category : Building materials
Languages : en
Pages : 678

Get Book

Book Description


High-strength Bolts for Bridges

High-strength Bolts for Bridges PDF Author:
Publisher:
ISBN:
Category : Bolts and nuts
Languages : en
Pages : 338

Get Book

Book Description


Absolute Proof

Absolute Proof PDF Author: Peter James
Publisher: Pan Macmillan
ISBN: 023077220X
Category : Fiction
Languages : en
Pages : 400

Get Book

Book Description
'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 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. 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 . . .

Root Cause Failure Analysis

Root Cause Failure Analysis PDF Author: Trinath Sahoo
Publisher: John Wiley & Sons
ISBN: 1119615593
Category : Technology & Engineering
Languages : en
Pages : 352

Get Book

Book Description
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.