Proofs from THE BOOK PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Proofs from THE BOOK PDF full book. Access full book title Proofs from THE BOOK by Martin Aigner. Download full books in PDF and EPUB format.
Author: Martin Aigner
Publisher: Springer Science & Business Media
ISBN: 3662223430
Category : Mathematics
Languages : en
Pages : 194
Get Book Here
Book Description
According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.
Author: Martin Aigner
Publisher: Springer Science & Business Media
ISBN: 3662223430
Category : Mathematics
Languages : en
Pages : 194
Get Book Here
Book Description
According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.
Author: Joseph E. Aoun
Publisher: MIT Press
ISBN: 0262549859
Category : Education
Languages : en
Pages : 221
Get Book Here
Book Description
A fresh look at a “robot-proof” education in the new age of generative AI. In 2017, Robot-Proof, the first edition, foresaw the advent of the AI economy and called for a new model of higher education designed to help human beings flourish alongside smart machines. That economy has arrived. Creative tasks that, seven years ago, seemed resistant to automation can now be performed with a simple prompt. As a result, we must now learn not only to be conversant with these technologies, but also to comprehend and deploy their outputs. In this revised and updated edition, Joseph Aoun rethinks the university’s mission for a world transformed by AI, advocating for the lifelong endeavor of a “robot-proof” education. Aoun puts forth a framework for a new curriculum, humanics, which integrates technological, data, and human literacies in an experiential setting, and he renews the call for universities to embrace lifelong learning through a social compact with government, employers, and learners themselves. Drawing on the latest developments and debates around generative AI, Robot-Proof is a blueprint for the university as a force for human reinvention in an era of technological change—an era in which we must constantly renegotiate the shifting boundaries between artificial intelligence and the capacities that remain uniquely human.
Author: Richard H. Hammack
Publisher:
ISBN: 9780989472111
Category : Mathematics
Languages : en
Pages : 314
Get Book Here
Book Description
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.
Author: Jia Jiang
Publisher: Harmony
ISBN: 0804141398
Category : Business & Economics
Languages : en
Pages : 242
Get Book Here
Book Description
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.
Author: Frederick Schauer
Publisher: Harvard University Press
ISBN: 0674276256
Category : Law
Languages : en
Pages : 321
Get Book Here
Book Description
Winner of the Scribes Book Award “Displays a level of intellectual honesty one rarely encounters these days...This is delightful stuff.” —Barton Swaim, Wall Street Journal “At a time when the concept of truth itself is in trouble, this lively and accessible account provides vivid and deep analysis of the practices addressing what is reliably true in law, science, history, and ordinary life. The Proof offers both timely and enduring insights.” —Martha Minow, former Dean of Harvard Law School “His essential argument is that in assessing evidence, we need, first of all, to recognize that evidence comes in degrees...and that probability, the likelihood that the evidence or testimony is accurate, matters.” —Steven Mintz, Inside Higher Education “I would make Proof one of a handful of books that all incoming law students should read...Essential and timely.” —Emily R. D. Murphy, Law and Society Review In the age of fake news, trust and truth are hard to come by. Blatantly and shamelessly, public figures deceive us by abusing what sounds like evidence. To help us navigate this polarized world awash in misinformation, preeminent legal theorist Frederick Schauer proposes a much-needed corrective. How we know what we think we know is largely a matter of how we weigh the evidence. But evidence is no simple thing. Law, science, public and private decision making—all rely on different standards of evidence. From vaccine and food safety to claims of election fraud, the reliability of experts and eyewitnesses to climate science, The Proof develops fresh insights into the challenge of reaching the truth. Schauer reveals how to reason more effectively in everyday life, shows why people often reason poorly, and makes the case that evidence is not just a matter of legal rules, it is the cornerstone of judgment.
Author: Daniel J. Velleman
Publisher: Cambridge University Press
ISBN: 0521861241
Category : Mathematics
Languages : en
Pages : 401
Get Book Here
Book Description
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.
Author: Adam Rogers
Publisher: Houghton Mifflin Harcourt
ISBN: 0547897960
Category : Cooking
Languages : en
Pages : 277
Get Book Here
Book Description
Presents a look at the science of alcohol production and consumption, from the principles behind the fermentation, distillation, and aging of alcoholic beverages, to the psychology and neurobiology of what happens after it is consumed.
Author: David Auburn
Publisher: Dramatists Play Service Inc
ISBN: 9780822217824
Category : Drama
Languages : en
Pages : 84
Get Book Here
Book Description
THE STORY: On the eve of her twenty-fifth birthday, Catherine, a troubled young woman, has spent years caring for her brilliant but unstable father, a famous mathematician. Now, following his death, she must deal with her own volatile emotions; the
Author: Peter D. Schiff
Publisher: John Wiley & Sons
ISBN: 1118281683
Category : Business & Economics
Languages : en
Pages : 386
Get Book Here
Book Description
A fully updated follow-up to Peter Schiff's bestselling financial survival guide-Crash Proof, which described the economy as a house of cards on the verge of collapse, with over 80 pages of new material The economic and monetary disaster which seasoned prognosticator Peter Schiff predicted is no longer hypothetical-it is here today. And nobody understands what to do in this situation better than the man who saw it coming. For more than a decade, Schiff has not only observed the economy, but also helped his clients restructure their portfolios to reflect his outlook. What he sees today is a nation facing an economic storm brought on by growing federal, personal, and corporate debt; too little savings; and a declining dollar. Crash Proof 2.0 picks up right where the first edition-a bestselling book that predicted the current market mayhem-left off. This timely guide takes into account the dramatic economic shifts that are reshaping the world and provides you with the insights and information to navigate the dangerous terrain. Throughout the book, Schiff explains the factors that will affect your future financial stability and offers a specific three step plan to battle the current economic downturn. Discusses the measures you can take to protect yourself-as well as profit-during these difficult times Offers an insightful examination of the structural weaknesses underlying the economic meltdown Outlines a plan that will allow you to preserve wealth and protect the purchasing power of your savings Filled with in-depth insights and expert advice, Crash Proof 2.0 will help you survive and thrive during the coming years of economic uncertainty.
Author: Scott Turow
Publisher: Farrar, Straus and Giroux
ISBN: 1429957751
Category : Fiction
Languages : en
Pages : 640
Get Book Here
Book Description
In The Burden of Proof, Scott Turow probes the fascinating and complex character of Alejandro Stern as he tries to uncover the truth about his wife's life. Late one spring afternoon, Alejandro Stern, the brilliant defense lawyer from Presumed Innocent, comes home from a business trip to find that Clara, his wife of thirty years, has committed suicide.
