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Book Synopsis Proofs from THE BOOK by : Martin Aigner
Download or read book Proofs from THE BOOK written by Martin Aigner and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis How to Prove It by : Daniel J. Velleman
Download or read book How to Prove It written by Daniel J. Velleman and published by Cambridge University Press. This book was released on 2006-01-16 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Book of Proof by : Richard H. Hammack
Download or read book Book of Proof written by Richard H. Hammack and published by . This book was released on 2016-01-01 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Proof written by David Auburn and published by Dramatists Play Service Inc. This book was released on 2001 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis 100% Mathematical Proof by : Rowan Garnier
Download or read book 100% Mathematical Proof written by Rowan Garnier and published by . This book was released on 1996-08 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Proof" has been and remains one of the concepts which characterises mathematics. Covering basic propositional and predicate logic as well as discussing axiom systems and formal proofs, the book seeks to explain what mathematicians understand by proofs and how they are communicated. The authors explore the principle techniques of direct and indirect proof including induction, existence and uniqueness proofs, proof by contradiction, constructive and non-constructive proofs, etc. Many examples from analysis and modern algebra are included. The exceptionally clear style and presentation ensures that the book will be useful and enjoyable to those studying and interested in the notion of mathematical "proof."
Book Synopsis Proof in Geometry by : A. I. Fetisov
Download or read book Proof in Geometry written by A. I. Fetisov and published by Courier Corporation. This book was released on 2012-06-11 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Robot-Proof, revised and updated edition by : Joseph E. Aoun
Download or read book Robot-Proof, revised and updated edition written by Joseph E. Aoun and published by MIT Press. This book was released on 2024-10-15 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Editor-Proof Your Writing by : Don McNair
Download or read book Editor-Proof Your Writing written by Don McNair and published by Linden Publishing. This book was released on 2013-04-01 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Don’t let simple mistakes ruin your book’s chances! If you’re not getting published, you may suffer from foggy writing—writing that’s full of unnecessary, misused, and overused words. Foggy writing drives editors crazy, and it’s the number one reason most manuscripts are rejected on first glance. Let veteran editor Don McNair show you how to clear up your foggy writing and produce sparkling copy that will attract agents, editors, readers, and sales. Editor-Proof Your Writing will show you how to avoid fatal writing mistakes by eliminating unnecessary words—and in the process you’ll strengthen your book’s action, invigorate your dialogue, and make your writing crackle with life. Containing 21 simple, straightforward principles, Editor-Proof Your Writing teaches how to edit weak verb forms, strip away author intrusions, ban redundancies, eliminate foggy phrases, correct passive-voice sentences, slash misused and overused words, and fix other writing mistakes. A must-have addition to every writer’s toolkit, Editor-Proof Your Writing won’t just make your writing clearer; it will make you a better writer — more expressive, more entertaining, and more likely to sell.
Book Synopsis An Introduction to Proof Theory by : Paolo Mancosu
Download or read book An Introduction to Proof Theory written by Paolo Mancosu and published by Oxford University Press. This book was released on 2021-08-12 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Proof Theory provides an accessible introduction to the theory of proofs, with details of proofs worked out and examples and exercises to aid the reader's understanding. It also serves as a companion to reading the original pathbreaking articles by Gerhard Gentzen. The first half covers topics in structural proof theory, including the Gödel-Gentzen translation of classical into intuitionistic logic (and arithmetic), natural deduction and the normalization theorems (for both NJ and NK), the sequent calculus, including cut-elimination and mid-sequent theorems, and various applications of these results. The second half examines ordinal proof theory, specifically Gentzen's consistency proof for first-order Peano Arithmetic. The theory of ordinal notations and other elements of ordinal theory are developed from scratch, and no knowledge of set theory is presumed. The proof methods needed to establish proof-theoretic results, especially proof by induction, are introduced in stages throughout the text. Mancosu, Galvan, and Zach's introduction will provide a solid foundation for those looking to understand this central area of mathematical logic and the philosophy of mathematics.
Download or read book The Proof written by Frederick Schauer and published by Harvard University Press. This book was released on 2022-05-31 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Encyclopædia of Evidence by : Edgar Whittlesey Camp
Download or read book The Encyclopædia of Evidence written by Edgar Whittlesey Camp and published by . This book was released on 1905 with total page 988 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Proof in Abstract Mathematics by : Andrew Wohlgemuth
Download or read book Introduction to Proof in Abstract Mathematics written by Andrew Wohlgemuth and published by Courier Corporation. This book was released on 2014-06-10 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary purpose of this undergraduate text is to teach students to do mathematical proofs. It enables readers to recognize the elements that constitute an acceptable proof, and it develops their ability to do proofs of routine problems as well as those requiring creative insights. The self-contained treatment features many exercises, problems, and selected answers, including worked-out solutions. Starting with sets and rules of inference, this text covers functions, relations, operation, and the integers. Additional topics include proofs in analysis, cardinality, and groups. Six appendixes offer supplemental material. Teachers will welcome the return of this long-out-of-print volume, appropriate for both one- and two-semester courses.
Book Synopsis Proofs and Fundamentals by : Ethan D. Bloch
Download or read book Proofs and Fundamentals written by Ethan D. Bloch and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to help students write mathematics better. Throughout it are large exercise sets well-integrated with the text and varying appropriately from easy to hard. Basic issues are treated, and attention is given to small issues like not placing a mathematical symbol directly after a punctuation mark. And it provides many examples of what students should think and what they should write and how these two are often not the same.
Book Synopsis The Psychology of Proof by : Lance J. Rips
Download or read book The Psychology of Proof written by Lance J. Rips and published by MIT Press. This book was released on 1994 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lance Rips describes a unified theory of natural deductive reasoning and fashions a working model of deduction, with strong experimental support, that is capable of playing a central role in mental life.
Download or read book Proof and Falsity written by Nils Kürbis and published by Cambridge University Press. This book was released on 2019-05-09 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides an original analysis of negation - a central concept of logic - and how to define its meaning in proof-theoretic semantics.
Book Synopsis Prove It with Figures by : Hans Zeisel
Download or read book Prove It with Figures written by Hans Zeisel and published by Springer Science & Business Media. This book was released on 1997-07-31 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Prove It With Figures" displays some of the tools of the social and statistical sciences that have been applied to the proof of facts in the courtroom and to the study of questions of legal importance. It explains how researchers can extract the most valuable and reliable data that can conveniently be made available, and how these efforts sometimes go awry. In the tradition of Zeisel's "Say It with Figures," a standard in the field of social statistics since 1947, it clarifies, in non-technical language, some of the basic problems common to all efforts to discern cause-and-effect relationships. Designed as a textbook for law students who seek an appreciation of the power and limits of empirical methods, the work also is a useful reference for lawyers, policymakers, and members of the public who would like to improve their critical understanding of the statistics presented to them. The many case histories include analyses of the death penalty, jury selection, employment discrimination, mass torts, and DNA profiling. Hans Zeisel was Professor of Law and Sociology Emeritus at the University of Chicago, where he pioneered the application of social science to the law. Earlier, he had a distinguished career in public opinion and market research. He has written on a wide variety of topics, ranging from research methodology and history to law enforcement, juries, and Sheakespeare. He was elected Fellow of the American Statistical Assoication and the American Association for the Advancement of Science, and in 1980 he was inducted into the Market Research Hall of Fame. David Kaye is Regents Professor at the Arizona State University, where he teaches evidence and related topics. An author of several law textbooks and treatises, his work also has appeared in journals of
Book Synopsis A Logical Introduction to Proof by : Daniel W. Cunningham
Download or read book A Logical Introduction to Proof written by Daniel W. Cunningham and published by Springer Science & Business Media. This book was released on 2012-09-19 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is intended for students who want to learn how to prove theorems and be better prepared for the rigors required in more advance mathematics. One of the key components in this textbook is the development of a methodology to lay bare the structure underpinning the construction of a proof, much as diagramming a sentence lays bare its grammatical structure. Diagramming a proof is a way of presenting the relationships between the various parts of a proof. A proof diagram provides a tool for showing students how to write correct mathematical proofs.
