Proof

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Book Of Proof

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Author : Richard H. Hammack
language : en
Publisher:
Release Date : 2013-05

Book Of Proof written by Richard H. Hammack and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05 with Mathematics categories.

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. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.

Robot Proof

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Author : Joseph E. Aoun
language : en
Publisher: MIT Press
Release Date : 2017-08-25

Robot Proof written by Joseph E. Aoun and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-25 with Education categories.

How to educate the next generation of college students to invent, to create, and to discover—filling needs that even the most sophisticated robot cannot. Driverless cars are hitting the road, powered by artificial intelligence. Robots can climb stairs, open doors, win Jeopardy, analyze stocks, work in factories, find parking spaces, advise oncologists. In the past, automation was considered a threat to low-skilled labor. Now, many high-skilled functions, including interpreting medical images, doing legal research, and analyzing data, are within the skill sets of machines. How can higher education prepare students for their professional lives when professions themselves are disappearing? In Robot-Proof, Northeastern University president Joseph Aoun proposes a way to educate the next generation of college students to invent, to create, and to discover—to fill needs in society that even the most sophisticated artificial intelligence agent cannot. A “robot-proof” education, Aoun argues, is not concerned solely with topping up students' minds with high-octane facts. Rather, it calibrates them with a creative mindset and the mental elasticity to invent, discover, or create something valuable to society—a scientific proof, a hip-hop recording, a web comic, a cure for cancer. Aoun lays out the framework for a new discipline, humanics, which builds on our innate strengths and prepares students to compete in a labor market in which smart machines work alongside human professionals. The new literacies of Aoun's humanics are data literacy, technological literacy, and human literacy. Students will need data literacy to manage the flow of big data, and technological literacy to know how their machines work, but human literacy—the humanities, communication, and design—to function as a human being. Life-long learning opportunities will support their ability to adapt to change. The only certainty about the future is change. Higher education based on the new literacies of humanics can equip students for living and working through change.

Introduction To Proof In Abstract Mathematics

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Author : Andrew Wohlgemuth
language : en
Publisher: Courier Corporation
Release Date : 2011-02-17

Introduction To Proof In Abstract Mathematics written by Andrew Wohlgemuth and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-17 with Mathematics categories.

Originally published: Philadelphia: Saunders College Pub., c1990.

How To Prove It

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Author : Daniel J. Velleman
language : en
Publisher: Cambridge University Press
Release Date : 2006-01-16

How To Prove It written by Daniel J. Velleman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-16 with Mathematics categories.

Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.

Introduction To Mathematical Proofs

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Author : Charles Roberts
language : en
Publisher: CRC Press
Release Date : 2014-12-17

Introduction To Mathematical Proofs written by Charles Roberts and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-17 with Mathematics categories.

Introduction to Mathematical Proofs helps students develop the necessary skills to write clear, correct, and concise proofs.Unlike similar textbooks, this one begins with logic since it is the underlying language of mathematics and the basis of reasoned arguments. The text then discusses deductive mathematical systems and the systems of natural num

Conjecture And Proof

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Author : Miklós Laczkovich
language : en
Publisher: American Mathematical Society
Release Date : 2022-08-11

Conjecture And Proof written by Miklós Laczkovich and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-11 with Mathematics categories.

The Budapest semesters in mathematics were initiated with the aim of offering undergraduate courses that convey the tradition of Hungarian mathematics to English-speaking students. This book is an elaborate version of the course on Conjecture and Proof. It gives miniature introductions to various areas of mathematics by presenting some interesting and important, but easily accessible results and methods. The text contains complete proofs of deep results such as the transcendence of $e$, the Banach-Tarski paradox and the existence of Borel sets of arbitrary (finite) class. One of the purposes is to demonstrate how far one can get from the first principles in just a couple of steps. Prerequisites are kept to a minimum, and any introductory calculus course provides the necessary background for understanding the book. Exercises are included for the benefit of students. However, this book should prove fascinating for any mathematically literate reader.

Proof

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Author : Daniel Montgomery
language : en
Publisher: Zondervan
Release Date : 2014-05-27

Proof written by Daniel Montgomery and has been published by Zondervan this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-27 with Religion categories.

It’s time to open your eyes to the freeing power of authentic grace—grace that releases us from trying to earn God's favor, grace that enables us to rest in the finished work of Christ, grace that liberates from the tyranny of trying to please others. That's what the theology of Martin Luther and John Calvin did in their own day for the people around them. Time magazine recently dubbed Calvinism as one of the top ten ideas changing the world right now. And yet most of these discussions center on the issue of predestination or on whether particular people agree with the five points of Calvinism. Daniel Montgomery and Timothy Paul Jones think it's time to rescue the theology of the Reformers from such stale scholasticizing and to declare anew the dangerous and intoxicating joy of the gospel that theyproclaimed. PROOF stands for planned grace, resurrecting grace, outrageous grace, overcoming grace, and forever grace. The authors offer proof of God’s grace upon which people can stand against the attacks of legalism that have led many of God's people to lose sight of the freedom and joy of the gospel. And this proof is intoxicating—it’s like a 200-proof drink that will leave you spiritually staggering at its effect on your life. God’s grace not only declares us “not guilty!” in his presence, it changes our relationship with God—forever.?

Proof In Geometry

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Author : A. I. Fetisov
language : en
Publisher: Courier Corporation
Release Date : 2012-06-11

Proof In Geometry written by A. I. Fetisov and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-11 with Mathematics categories.

This single-volume compilation of 2 books explores the construction of geometric proofs. It offers useful criteria for determining correctness and presents examples of faulty proofs that illustrate common errors. 1963 editions.

Rejection Proof

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Author : Jia Jiang
language : en
Publisher: Harmony
Release Date : 2015-04-14

Rejection Proof written by Jia Jiang and has been published by Harmony this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-14 with Business & Economics categories.

The inspiring, relatable, and sometimes outrageous true story of how one man used 100 days of rejection therapy to overcome fear and dare to live more boldly “Rejection Proof smashes fear in the face with a one-two punch. You’ll laugh out loud at Jia’s crazy social experiments, but you’ll also go away thinking differently about what you can accomplish.”—Chris Guillebeau, New York Times bestselling author of The Happiness Pursuit Jia Jiang’s TEDx Talk, “What I learned from 100 days of rejection,” has amassed over ten million views! Jia Jiang came to the United States with the dream of being the next Bill Gates. But despite early success in the corporate world, his first attempt to pursue his entrepreneurial dream ended in rejection. Jia was crushed and spiraled into a period of deep self-doubt. Jia realized that his fear of rejection was a bigger obstacle than any single rejection would ever be; he needed to find a way to cope with being told “no” that wouldn’t destroy him. Inspired by rejection therapy, which uses similar modalities as exposure therapy to desensitize you to the effects of being rejected, he undertook the “100 days of rejection” experiment, during which he willfully sought out rejection on a daily basis—from requesting a lesson in sales from a car salesman (no) to asking a flight attendant if he could make an announcement on the loud speaker (yes) to his famous request to get Krispy Kreme donuts in the shape of Olympic rings (yes, with a viral video to prove it). Over the course of one hundred rejection attempts, Jia realized that even the most preposterous wish might be granted if you ask the right way. He learned the secrets to making successful requests, tactics for picking the right people to approach at the right time, and strategies for converting an initial no into something positive. More important, Jia discovered ways to steel himself against rejection and live more fearlessly—skills that can’t be derailed by a single setback. The changes Jia experienced from his rejection therapy experiment went far beyond becoming more successful in business; he realized that he could apply these techniques to get more out of his relationships with friends, family, and even casual encounters with strangers. Filled with great stories and valuable insight, Rejection Proof shares the secrets of Jia’s rejection journey, distilling each lesson into a strategy that can be used in any negotiation or pitch.

Proofs

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Author : Jay Cummings
language : en
Publisher:
Release Date : 2021-01-19

Proofs written by Jay Cummings and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-19 with categories.

This textbook is designed for students. Rather than the typical definition-theorem-proof-repeat style, this text includes much more commentary, motivation and explanation. The proofs are not terse, and aim for understanding over economy. Furthermore, dozens of proofs are preceded by "scratch work" or a proof sketch to give students a big-picture view and an explanation of how they would come up with it on their own.This book covers intuitive proofs, direct proofs, sets, induction, logic, the contrapositive, contradiction, functions and relations. The text aims to make the ideas visible, and contains over 200 illustrations. The writing is relaxed and conversational, and includes periodic attempts at humor.This text is also an introduction to higher mathematics. This is done in-part through the chosen examples and theorems. Furthermore, following every chapter is an introduction to an area of math. These include Ramsey theory, number theory, topology, sequences, real analysis, big data, game theory, cardinality and group theory.After every chapter are "pro-tips," which are short thoughts on things I wish I had known when I took my intro-to-proofs class. They include finer comments on the material, study tips, historical notes, comments on mathematical culture, and more. Also, after each chapter's exercises is an introduction to an unsolved problem in mathematics.In the first appendix we discuss some further proof methods, the second appendix is a collection of particularly beautiful proofs, and the third is some writing advice.