The Moment of Proof Book

[_PDF_] The Moment of Proof | Download Pdf - ePub - Kindle - eBook

You can Read or Download Pdf The Moment of Proof by Donald C. Benson in full 352 pages, and many more Mathematics books similar to The Moment of Proof

The Moment of Proof

By Donald C. Benson
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Oxford University Press
  • Isbn : 0198027745
  • Pages : 352
  • Category : Mathematics
  • Reads : 280
  • File Pdf: the-moment-of-proof.pdf

Book Summary:

When Archimedes, while bathing, suddenly hit upon the principle of buoyancy, he ran wildly through the streets of Syracuse, stark naked, crying "eureka!" In The Moment of Proof, Donald Benson attempts to convey to general readers the feeling of eureka--the joy of discovery--that mathematicians feel when they first encounter an elegant proof. This is not an introduction to mathematics so much as an introduction to the pleasures of mathematical thinking. And indeed the delights of this book are many and varied. The book is packed with intriguing conundrums--Loyd's Fifteen Puzzle, the Petersburg Paradox, the Chaos Game, the Monty Hall Problem, the Prisoners' Dilemma--as well as many mathematical curiosities. We learn how to perform the arithmetical proof called "casting out nines" and are introduced to Russian peasant multiplication, a bizarre way to multiply numbers that actually works. The book shows us how to calculate the number of ways a chef can combine ten or fewer spices to flavor his soup (1,024) and how many people we would have to gather in a room to have a 50-50 chance of two having the same birthday (23 people). But most important, Benson takes us step by step through these many mathematical wonders, so that we arrive at the solution much the way a working scientist would--and with much the same feeling of surprise. Every fan of mathematical puzzles will be enthralled by The Moment of Proof. Indeed, anyone interested in mathematics or in scientific discovery in general will want to own this book.

Similar Books For Reading


  • Computable Models of the Law
    Computable Models of the Law
    A Book written by Giovanni Sartor,Núria Casellas,Rossella Rubino, published by Springer 2008-10-02 - 344 pages - part of Computers books. Read more >>
  • Induction, Probability, and Skepticism
    Induction, Probability, and Skepticism
    A Book written by Debi Prasad Chattopadhyaya, published by SUNY Press 1991-01-01 - 448 pages - part of Philosophy books. Read more >>
  • Excursions into Mathematics
    Excursions into Mathematics
    A Book written by Anatole Beck,Michael N. Bleicher,Donald W. Crowe, published by CRC Press 2020-02-24 - 526 pages - part of Mathematics books. Read more >>
  • Circularity
    Circularity
    A Book written by Ron Aharoni, published by World Scientific 2016-04-21 - 180 pages - part of Mathematics books. Read more >>
  • Chips Challenging Champions
    Chips Challenging Champions
    A Book written by J. Schaeffer,H.J. van den Herik, published by Elsevier 2002-04-17 - 370 pages - part of Computers books. Read more >>
  • Government Burden of Proof, Form #05.025
    Government Burden of Proof, Form #05.025
    A Book written by Sovereignty Education and Defense Ministry (SEDM), published by Sovereignty Education and Defense Ministry (SEDM) 2020-02-06 - 46 pages - part of Law books. Read more >>
  • The Game of Language
    The Game of Language
    A Book written by Jaakko Hintikka, published by Springer Science & Business Media 2012-12-06 - 356 pages - part of Philosophy books. Read more >>

Related Books

Introduction to Discrete Mathematics via Logic and Proof

By Calvin Jongsma
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer Nature
  • Isbn : 3030253589
  • Pages : 482
  • Category : Mathematics
  • Reads : 366
  • File Pdf: introduction-to-discrete-mathematics-via-logic-and-proof.pdf

Book Summary:

This textbook introduces discrete mathematics by emphasizing the importance of reading and writing proofs. Because it begins by carefully establishing a familiarity with mathematical logic and proof, this approach suits not only a discrete mathematics course, but can also function as a transition to proof. Its unique, deductive perspective on mathematical logic provides students with the tools to more deeply understand mathematical methodology—an approach that the author has successfully classroom tested for decades. Chapters are helpfully organized so that, as they escalate in complexity, their underlying connections are easily identifiable. Mathematical logic and proofs are first introduced before moving onto more complex topics in discrete mathematics. Some of these topics include: Mathematical and structural induction Set theory Combinatorics Functions, relations, and ordered sets Boolean algebra and Boolean functions Graph theory Introduction to Discrete Mathematics via Logic and Proof will suit intermediate undergraduates majoring in mathematics, computer science, engineering, and related subjects with no formal prerequisites beyond a background in secondary mathematics.

How Chinese Teach Mathematics

By Lianghuo Fan,Ngai-Ying Wong,Jinfa Cai,Shiqi Li
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : World Scientific
  • Isbn : 9814415839
  • Pages : 756
  • Category : Education
  • Reads : 792
  • File Pdf: how-chinese-teach-mathematics.pdf

Book Summary:

This unique book represents another concerted research effort concerning Chinese mathematics education, with contributions from the world's leading scholars and most active researchers. The book presents the latest original research work with a particular focus on the "teaching" side of Chinese mathematics education to a wide international audience. There are mainly three sections in the book. The first section introduces readers to a historical and contemporary perspective, respectively, on traditional mathematical teaching in ancient China and on how modern Chinese mathematics teachers teach and pursue their pre-service training and in-service professional development. The second section presents studies investigating a wide range of issues at both the macro- and micro-levels on how Chinese mathematics teachers teach mathematics. The third section focuses on Chinese mathematics teachers, investigating issues about their knowledge, belief, teacher training and professional development. Like its predecessor, How Chinese Learn Mathematics: Perspectives from Insiders, this book is a must for educational researchers, practitioners, and policy-makers who are interested in knowing more about mathematics teaching, teachers, teacher education and professional development concerning Chinese teachers and learners. Contents:Focusing on Chinese Mathematics Teaching, Teachers and Teacher Education: An IntroductionHistorical and Contemporary Perspectives:The Wisdom of Traditional Mathematical Teaching in China (DAI Qin and CHEUNG Ka Luen) How Chinese Teachers Teach Mathematics and Pursue Professional Development: Perspectives from ContemporaryInternational Research (FAN Lianghuo, MIAO Zhenzhen and MOK Ah Chee Ida) Understanding the Chinese Ways of Teaching Mathematics: Mathematics Teaching in a Chinese Classroom: A Hybrid-Model Analysis of Opportunities for Students' Learning (HUANG Rongjin, MILLER L Diane and TZUR Ron)Achieving Coherence in the Mathematics Classroom: Toward a Framework for Examining Instructional Coherence (WANG Tao, CAI Jinfa and HWANG Stephen) Elementary School Teachers' Instruction in Measurement: Cases of Classroom Teaching of Spatial Measurement in Taiwan (HUANG Hsin-Mei E) Pedagogical and Curriculum Potentials of Homework: A Case Study about Geometric Proofs in Shanghai (FANG Yanping) Teaching Calculation of Time Intervals: Comparing Mathematics Competence of Students in Macau, Hong Kong and the Netherlands (LI Titus Siu Pang) Teaching Number Sense via Interactive Multimedia in a Primary School in Taiwan (YANG Der-Ching, CHEN Pei-Chieh, TSAI Yi Fang and HSIEH Tien-Yu)Teaching Geometrical Theorems in Grade 8 Using the “Shen Tou” Method: A Case Study in Shanghai (DING Liping, JONES Keith and ZHANG Dianzhou) Implementation of Objectives Based on the Curriculum Standards: A Case of Teaching Using Letter to Represent Number at a Chinese Primary School in Chinese Mainland (HUANG Xingfeng, YANG Jinglei and LI Shiqi) Chinese Project-based Classroom Practices: Promoting Students' Engagement in Mathematical Activities (XU Binyan and ZHU Guangtian)A Large-Scale Video Survey on Taiwanese Fourth-Grade Classrooms of Mathematical Teaching Behaviors (LEE Yuan-Shun and LIN Fou-Lai) Features of Exemplary Lessons under the Curriculum Reform in Chinese Mainland: A Study of Thirteen Elementary Mathematics Lessons (MA Yunpeng and ZHAO Dongchen) Qingpu Mathematics Teaching Reform and Its Impact on Student Learning (GU Lingyuan, YANG Yudong and HE Zhenzhen)Chinese Mathematics Teachers, Teacher Education and Teacher Professional Development:Beliefs, Knowledge and Teaching: A Series of Studies about Chinese Mathematics Teachers (ZHANG Qiaoping and WONG Ngai-Ying)What Makes a Master Teacher? A Study of Thirty-One Mathematics Master Teachers in Chinese Mainland (FAN Lianghuo, ZHU Yan and TANG Caibin)Chinese Teachers' Mathematics Beliefs in the Context of Curriculum Reform (CHEN Qian and LEUNG Koon Shing Frederick) "Same Content Different Designs" Activities and Their Impact on Prospective Mathematics Teachers' Professional Development: The Case of Nadine (YUAN Zhiqiang and LI Xuhui)Exploration into Chinese Mathematics Teachers' Perceptions of Concept Map (JIN Haiyue, LU Jun and ZHONG Zhihua) Assisting Teachers in Maintaining High-Level Cognitive Demands of Mathematical Tasks in Classroom Practices: A Training Course in Taiwan (LIN Pi-Jen and TSAI Wen-Huan) The Relationships between Religious Beliefs and Teaching among Mathematics Teachers in Chinese Mainland, Taiwan and Hong Kong (LEU Yuh-Chyn, CHAN Yip-Cheung and WONG Ngai-Ying)Epilogue: Why the Interest in the Chinese Learner? (FAN Lianghuo, WONG Ngai-Ying, CAI Jinfa and LI Shiqi) Readership: Researchers, educators, lecturers, and graduate students in mathematics and education. Keywords:Mathematics;Mathematics Teaching and Learning;Mathematics Education;Chinese Education;China Study;Asian EducationKey Features:Concerted research effort. The book is well-planned, structured, and organizedUnique treatment of the topic: comprehensive and in-depth coverage on teaching, teacher, and teacher education for a wide range of international readersProminent authors and contributors: Many of them are the world's leading scholars or most active researchers

Amongst Mathematicians

By Elena Nardi
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer Science & Business Media
  • Isbn : 0387371435
  • Pages : 341
  • Category : Education
  • Reads : 256
  • File Pdf: amongst-mathematicians.pdf

Book Summary:

This book offers a unique perspective on ways in which mathematicians: perceive their students' learning; teach; reflect on their teaching practice. Elena Nardi achieves this by employing two fictional, yet entirely data-grounded, characters to create a conversation on these important issues. The construction of these characters is based on large bodies of data including intense focused group interviews with mathematicians and extensive analyses of students' written work, collected and analyzed over a substantial period.

Extraordinary Knowledge

By K. R.
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : iUniverse
  • Isbn : 9781469751566
  • Pages : 428
  • Category : Body, Mind & Spirit
  • Reads : 196
  • File Pdf: extraordinary-knowledge.pdf

Book Summary:

This book covers topics such as psychology, science, spirituality, myths and unexplained phenomena, and more. It also covers topics such as spiritual awakening and planetary shifts. This book leads you through the vast amount of information being relayed by the Zetas in answer to questions posed to their emissary, Nancy Lieder. The book also contains information on the government's involvement in the alien and UFO's cover-up. The Earth is scheduled to transition to 4th Density spiritual. After the switch humans will find that all humans, whether they have graduated to a 4th Density spiritual plane or not, have moved. For some entities, they will recall living through the cataclysms and then later through a time when humans seemed more mentally connected and in touch with one another. Then, upon death, they will be moved to another 3rd Density world, with others who will share these memories. Back to 3rd Density, to continue their orientation lesson. Just as living beings, such as the Zetas and humans, can be in different densities, coexisting in the same spot but being unaware of each other, so planets can and do so coexist. 4th Density planets are not as prevalent as planets in the root density, for obvious reasons. Planets are moved to 4th Density only to support life in 4th Density, and most planets do not have any life at all. This book was written in hopes of updating people's minds that we are all immortal spirits on a journey throughout this wonderful Universe God has created and that we are NOT alone! I hope you enjoy reading this book.

The Legal Thriller from Gardner to Grisham

By Lars Ole Sauerberg
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer
  • Isbn : 1137407301
  • Pages : 199
  • Category : Fiction
  • Reads : 927
  • File Pdf: the-legal-thriller-from-gardner-to-grisham.pdf

Book Summary:

This book offers a critically informed yet relaxed historical overview of the legal thriller, a unique contribution to crime fiction where most of the titles have been written by professionals such as lawyers and judges. The legal thriller typically uses court trials as the suspense-creating background for presenting legal issues reflecting a wide range of concerns, from corporate conflicts to private concerns, all in a dramatic but highly informed manner. With authors primarily from the USA and the UK, the genre is one which nonetheless enjoys a global reading audience. As well as providing a survey of the legal thriller, this book takes a gender–focused approach to analyzing recently published titles within the field. It also argues for the fascination of the legal thriller both in the way its narrative pattern parallels that of an actual court trial, and by the way it reflects, frequently quite critically, the concerns of contemporary society.

Burdens of Proof

By Susanna Egan
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Wilfrid Laurier Univ. Press
  • Isbn : 1554583500
  • Pages : 210
  • Category : Biography & Autobiography
  • Reads : 155
  • File Pdf: burdens-of-proof.pdf

Book Summary:

Autobiographical impostures, once they come to light, appear to us as outrageous, scandalous. They confuse lived and textual identity (the person in the world and the character in the text) and call into question what we believe, what we doubt, and how we receive information. In the process, they tell us a lot about cultural norms and anxieties. Burdens of Proof: Faith, Doubt, and Identity in Autobiography examines a broad range of impostures in the United States, Canada, and Europe, and asks about each one: Why this particular imposture? Why here and now? Susanna Egan’s historical survey of texts from early Christendom to the nineteenth century provides an understanding of the author in relation to the text and shows how plagiarism and other false claims have not always been regarded as the frauds we consider them today. She then explores the role of the media in the creation of much contemporary imposture, examining in particular the cases of Jumana Hanna, Norma Khouri, and James Frey. The book also addresses ethnic imposture, deliberate fictions, plagiarism, and ghostwriting, all of which raise moral, legal, historical, and cultural issues. Egan concludes the volume with an examination of how historiography and law failed to support the identities of European Jews during World War II, creating sufficient instability in Jewish identity and doubt about Jewish wartime experience that the impostor could step in. This textual erasure of the Jews of Europe and the refashioning of their experiences in fraudulent texts are examples of imposture as an outcrop of extreme identity crisis. The first to examine these issues in North America and Europe, Burdens of Proof will be of interest to scholars of life writing and cultural studies.

Proceedings of the Fifth International Congress on Mathematical Education

By CARASS
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer Science & Business Media
  • Isbn : 147574238X
  • Pages : 401
  • Category : Science
  • Reads : 648
  • File Pdf: proceedings-of-the-fifth-international-congress-on-mathematical-education.pdf

Book Summary:

International Congresses on Mathematical Education (ICMEs), under the auspices of the International Commission on Mathematical Instruction, are held every four years. Previous Congresses have been held in France (Lyons), England (Exeter), the Federal Republic of Germany (Karlsruhe), and the United States of America (Berkeley). The Fifth International Congress on Mathematical Education (lCME 5) was held in Adelaide, Australia, from August 24-30, 1984. More than 1800 participants from over 70 countries participated in the Congress, while some additional 200 people attended social functions and excursions. The program for ICME 5 was planned and structured by an International Program Committee, and implemented by the National Program Committee in Australia. For the main body of the program, Chief Organisers, assisted by Australian Coordinators, were invited to plan and prepare the individual components of the program which addressed a wide range of topics and interest areas. Each of these teams involved many individuals from around the world in the detailed planning and preparation of the working sessions for their area of program responsibility. For the actual working sessions at the Congress, the smallest group had some 60 members, while the largest had well over 300. In addition to the working sessions, there were three major plenary addresses, several specially invited presentations, and over 420 individual papers in the form of short communications, either as posters or brief talks.

Relational and Algebraic Methods in Computer Science

By Harrie de Swart
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer
  • Isbn : 3642210708
  • Pages : 363
  • Category : Mathematics
  • Reads : 155
  • File Pdf: relational-and-algebraic-methods-in-computer-science.pdf

Book Summary:

This book constitutes the proceedings of the 12 International Conference on Relational and Algebraic Methods in Computer Science, RAMICS 2011, held in Rotterdam, The Netherlands, in May/June 2011. This conference merges the RelMICS (Relational Methods in Computer Science) and AKA (Applications of Kleene Algebra) conferences, which have been a main forum for researchers who use the calculus of relations and similar algebraic formalisms as methodological and conceptual tools. Relational and algebraic methods and software tools turn out to be useful for solving problems in social choice and game theory. For that reason this conference included a special track on Computational Social Choice and Social Software. The 18 papers included were carefully reviewed and selected from 27 submissions. In addition the volume contains 2 invited tutorials and 5 invited talks.

Game Theory and Pragmatics

By A. Benz,G. Jäger,R. Van Rooij,Robert Van Rooij
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer
  • Isbn : 0230285899
  • Pages : 290
  • Category : Philosophy
  • Reads : 587
  • File Pdf: game-theory-and-pragmatics.pdf

Book Summary:

Rooted in Gricean tradition, this book concentrates on game- and decision-theoretic (GDT) approaches to the foundations of pragmatics. An Introduction to GDT, with an overview of GDT pragmatics research to date and its relation to semantics and to Gricean pragmatics is followed by contributions offering a high-level survey of current GDT pragmatics and the field of its applications, demonstrating that this approach provides a sound basis for synchronic and diachronic explanations of language use.

Game-Theoretic Models of the Political Influence of Interest Groups

By Randolph Sloof
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer Science & Business Media
  • Isbn : 1475753071
  • Pages : 262
  • Category : Business & Economics
  • Reads : 131
  • File Pdf: game-theoretic-models-of-the-political-influence-of-interest-groups.pdf

Book Summary:

In this chapter the topic of this book is introduced. Section 1. 1 provides a brief and rather general motivation for the scientific project undertaken here. Interest groups are a very popular object of scientific inquiry, and they received already considerable research attention from scholars in political science, as well as from researchers in economics. Necessarily, then, this book adds to a literature which is already quite developed. A detailed positioning in this literature of the theoretical material presented in this monograph will be given in Chapter 2. This second chapter will also, by means of a review of the empirical literature, provide a more general overview of the issues deemed to be important when studying the influence of interest groups on public policy. The outline of the entire book is described in greater detail in Section 1. 2. As most issues involved are more easily presented in later chapters, this introductory chapter is kept brief. 1. 1 MOTIVATION Substantial political power is often attributed to interest groups. Examples abound in both the economics and political science literature, as well as in journalistic accounts and popular publications. On many occasions the authors express concerns about the negative impact of interest groups on the democratic quality of government. "The interests of a small group are served at the expense of the interests of the general public, the taxpayers!", is an often heard popular complaint.

Concepts of Proof in Mathematics, Philosophy, and Computer Science

By Dieter Probst,Peter Schuster
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Isbn : 150150262X
  • Pages : 384
  • Category : Philosophy
  • Reads : 335
  • File Pdf: concepts-of-proof-in-mathematics-philosophy-and-computer-science.pdf

Book Summary:

A proof is a successful demonstration that a conclusion necessarily follows by logical reasoning from axioms which are considered evident for the given context and agreed upon by the community. It is this concept that sets mathematics apart from other disciplines and distinguishes it as the prototype of a deductive science. Proofs thus are utterly relevant for research, teaching and communication in mathematics and of particular interest for the philosophy of mathematics. In computer science, moreover, proofs have proved to be a rich source for already certified algorithms. This book provides the reader with a collection of articles covering relevant current research topics circled around the concept 'proof'. It tries to give due consideration to the depth and breadth of the subject by discussing its philosophical and methodological aspects, addressing foundational issues induced by Hilbert's Programme and the benefits of the arising formal notions of proof, without neglecting reasoning in natural language proofs and applications in computer science such as program extraction.