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The Best Writing On Mathematics 2015

Author : Mircea Pitici
ISBN : 9780691169651
Genre : Mathematics
File Size : 49. 30 MB
Format : PDF
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This annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2015 makes available to a wide audience many articles not easily found anywhere else—and you don’t need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today’s hottest mathematical debates. Here David Hand explains why we should actually expect unlikely coincidences to happen; Arthur Benjamin and Ethan Brown unveil techniques for improvising custom-made magic number squares; Dana Mackenzie describes how mathematicians are making essential contributions to the development of synthetic biology; Steven Strogatz tells us why it’s worth writing about math for people who are alienated from it; Lisa Rougetet traces the earliest written descriptions of Nim, a popular game of mathematical strategy; Scott Aaronson looks at the unexpected implications of testing numbers for randomness; and much, much more. In addition to presenting the year’s most memorable writings on mathematics, this must-have anthology includes a bibliography of other notable writings and an introduction by the editor, Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us—and where it is headed.

The Best Writing On Mathematics 2016

Author : Mircea Pitici
ISBN : 9781400885602
Genre : Mathematics
File Size : 68. 92 MB
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The year's finest mathematics writing from around the world This annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2016 makes available to a wide audience many articles not easily found anywhere else—and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest mathematical debates. Here Burkard Polster shows how to invent your own variants of the Spot It! card game, Steven Strogatz presents young Albert Einstein's proof of the Pythagorean Theorem, Joseph Dauben and Marjorie Senechal find a treasure trove of math in New York's Metropolitan Museum of Art, and Andrew Gelman explains why much scientific research based on statistical testing is spurious. In other essays, Brian Greene discusses the evolving assumptions of the physicists who developed the mathematical underpinnings of string theory, Jorge Almeida examines the misperceptions of people who attempt to predict lottery results, and Ian Stewart offers advice to authors who aspire to write successful math books for general readers. And there's much, much more. In addition to presenting the year's most memorable writings on mathematics, this must-have anthology includes a bibliography of other notable writings and an introduction by the editor, Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us—and where it is headed.

The Best Writing On Mathematics 2017

Author : Mircea Pitici
ISBN : 9780691178639
Genre : Mathematics
File Size : 41. 51 MB
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The year's finest mathematics writing from around the world This annual anthology brings together the year’s finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2017 makes available to a wide audience many articles not easily found anywhere else—and you don’t need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today’s hottest mathematical debates. Here Evelyn Lamb describes the excitement of searching for incomprehensibly large prime numbers, Jeremy Gray speculates about who would have won math’s highest prize—the Fields Medal—in the nineteenth century, and Philip Davis looks at mathematical results and artifacts from a business and marketing viewpoint. In other essays, Noson Yanofsky explores the inherent limits of knowledge in mathematical thinking, Jo Boaler and Lang Chen reveal why finger-counting enhances children’s receptivity to mathematical ideas, and Carlo Séquin and Raymond Shiau attempt to discover how the Renaissance painter Fra Luca Pacioli managed to convincingly depict his famous rhombicuboctahedron, a twenty-six-sided Archimedean solid. And there’s much, much more. In addition to presenting the year’s most memorable writings on mathematics, this must-have anthology includes a bibliography of other notable writings and an introduction by the editor, Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us—and where it is headed.

The Best Writing On Mathematics 2015

Author : Mircea Pitici
ISBN : 9781400873371
Genre : Mathematics
File Size : 53. 27 MB
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The year's finest writing on mathematics from around the world This annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2015 makes available to a wide audience many articles not easily found anywhere else—and you don’t need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today’s hottest mathematical debates. Here David Hand explains why we should actually expect unlikely coincidences to happen; Arthur Benjamin and Ethan Brown unveil techniques for improvising custom-made magic number squares; Dana Mackenzie describes how mathematicians are making essential contributions to the development of synthetic biology; Steven Strogatz tells us why it’s worth writing about math for people who are alienated from it; Lisa Rougetet traces the earliest written descriptions of Nim, a popular game of mathematical strategy; Scott Aaronson looks at the unexpected implications of testing numbers for randomness; and much, much more. In addition to presenting the year’s most memorable writings on mathematics, this must-have anthology includes a bibliography of other notable writings and an introduction by the editor, Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us—and where it is headed.

The Best Writing On Mathematics 2018

Author : Mircea Pitici
ISBN : 9780691188720
Genre : Mathematics
File Size : 51. 60 MB
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The year’s finest mathematical writing from around the world This annual anthology brings together the year’s finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2018 makes available to a wide audience many pieces not easily found anywhere else—and you don’t need to be a mathematician to enjoy them. These essays delve into the history, philosophy, teaching, and everyday aspects of math, offering surprising insights into its nature, meaning, and practice—and taking readers behind the scenes of today’s hottest mathematical debates. James Grime shows how to build subtly mischievous dice for playing slightly unfair games and Michael Barany traces how our appreciation of the societal importance of mathematics has developed since World War II. In other essays, Francis Su extolls the inherent values of learning, doing, and sharing mathematics, and Margaret Wertheim takes us on a mathematical exploration of the mind and the world—with glimpses at science, philosophy, music, art, and even crocheting. And there’s much, much more. In addition to presenting the year’s most memorable math writing, this must-have anthology includes an introduction by the editor and a bibliography of other notable pieces on mathematics. This is a must-read for anyone interested in where math has taken us—and where it is headed.

The Best Writing On Mathematics 2019

Author : Mircea Pitici
ISBN : 9780691198354
Genre : Crafts & Hobbies
File Size : 27. 15 MB
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An anthology of the year's finest writing on mathematics from around the world, featuring promising new voices as well as some of the foremost names in mathematics.

The Best Writing On Mathematics 2021

Author : Mircea Pitici
ISBN : 9780691225708
Genre : Mathematics
File Size : 70. 60 MB
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The year’s finest mathematical writing from around the world This annual anthology brings together the year’s finest mathematics writing from around the world—and you don’t need to be a mathematician to enjoy the pieces collected here. These essays—from leading names and fresh new voices—delve into the history, philosophy, teaching, and everyday aspects of math, offering surprising insights into its nature, meaning, and practice, and taking readers behind the scenes of today’s hottest mathematical debates. Here, Viktor Blåsjö gives a brief history of “lockdown mathematics”; Yelda Nasifoglu decodes the politics of a seventeenth-century play in which the characters are geometric shapes; and Andrew Lewis-Pye explains the basic algorithmic rules and computational procedures behind cryptocurrencies. In other essays, Terence Tao candidly recalls the adventures and misadventures of growing up to become a leading mathematician; Natalie Wolchover shows how old math gives new clues about whether time really flows; and David Hand discusses the problem of “dark data”—information that is missing or ignored. And there is much, much more.

100 Years Of Math Milestones The Pi Mu Epsilon Centennial Collection

Author : Stephan Ramon Garcia
ISBN : 9781470436520
Genre : Mathematics
File Size : 39. 46 MB
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This book is an outgrowth of a collection of 100 problems chosen to celebrate the 100th anniversary of the undergraduate math honor society Pi Mu Epsilon. Each chapter describes a problem or event, the progress made, and connections to entries from other years or other parts of mathematics. In places, some knowledge of analysis or algebra, number theory or probability will be helpful. Put together, these problems will be appealing and accessible to energetic and enthusiastic math majors and aficionados of all stripes. Stephan Ramon Garcia is WM Keck Distinguished Service Professor and professor of mathematics at Pomona College. He is the author of four books and over eighty research articles in operator theory, complex analysis, matrix analysis, number theory, discrete geometry, and other fields. He has coauthored dozens of articles with students, including one that appeared in The Best Writing on Mathematics: 2015. He is on the editorial boards of Notices of the AMS, Proceedings of the AMS, American Mathematical Monthly, Involve, and Annals of Functional Analysis. He received four NSF research grants as principal investigator and five teaching awards from three different institutions. He is a fellow of the American Mathematical Society and was the inaugural recipient of the Society's Dolciani Prize for Excellence in Research. Steven J. Miller is professor of mathematics at Williams College and a visiting assistant professor at Carnegie Mellon University. He has published five books and over one hundred research papers, most with students, in accounting, computer science, economics, geophysics, marketing, mathematics, operations research, physics, sabermetrics, and statistics. He has served on numerous editorial boards, including the Journal of Number Theory, Notices of the AMS, and the Pi Mu Epsilon Journal. He is active in enrichment and supplemental curricular initiatives for elementary and secondary mathematics, from the Teachers as Scholars Program and VCTAL (Value of Computational Thinking Across Grade Levels), to numerous math camps (the Eureka Program, HCSSiM, the Mathematics League International Summer Program, PROMYS, and the Ross Program). He is a fellow of the American Mathematical Society, an at-large senator for Phi Beta Kappa, and a member of the Mount Greylock Regional School Committee, where he sees firsthand the challenges of applying mathematics.

99 Variations On A Proof

Author : Philip Ording
ISBN : 9780691218977
Genre : Mathematics
File Size : 38. 91 MB
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An exploration of mathematical style through 99 different proofs of the same theorem This book offers a multifaceted perspective on mathematics by demonstrating 99 different proofs of the same theorem. Each chapter solves an otherwise unremarkable equation in distinct historical, formal, and imaginative styles that range from Medieval, Topological, and Doggerel to Chromatic, Electrostatic, and Psychedelic. With a rare blend of humor and scholarly aplomb, Philip Ording weaves these variations into an accessible and wide-ranging narrative on the nature and practice of mathematics. Inspired by the experiments of the Paris-based writing group known as the Oulipo—whose members included Raymond Queneau, Italo Calvino, and Marcel Duchamp—Ording explores new ways to examine the aesthetic possibilities of mathematical activity. 99 Variations on a Proof is a mathematical take on Queneau’s Exercises in Style, a collection of 99 retellings of the same story, and it draws unexpected connections to everything from mysticism and technology to architecture and sign language. Through diagrams, found material, and other imagery, Ording illustrates the flexibility and creative potential of mathematics despite its reputation for precision and rigor. Readers will gain not only a bird’s-eye view of the discipline and its major branches but also new insights into its historical, philosophical, and cultural nuances. Readers, no matter their level of expertise, will discover in these proofs and accompanying commentary surprising new aspects of the mathematical landscape.

Resilience By Design

Author : Ian Snape
ISBN : 9781119794936
Genre : Business & Economics
File Size : 79. 85 MB
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Discover how to transform stress and other unwanted states into resilience, clarity, and improved wellbeing with this insightful new book Resilience By Design: How to Survive and Thrive in a Complex and Turbulent World delivers the world’s most detailed and research-backed how-to manual to integrate advances from neuroscience and complexity theory with real world expertise, providing practical techniques that you’ll want to use every day. Alongside well explained scientific theory, each chapter contains dramatic, real-life stories of people from frontline services, elite sports, and everyday survivors who learned to thrive in high pressure, demanding, and often deadly situations. You’ll discover how resilience isn’t just the ability to tough it out; it’s dependent upon an interconnected set of skills, techniques, creative processes, and new understandings of how we think, act, and interact with our environments and each other. If you or someone you care about experiences unwanted stress, anxiety, decision fatigue, overwhelm, or burnout, by applying the step-by-step techniques in this book, you’ll learn to develop resilience, clarity, improved energy, wellbeing, and overall performance. You’ll also learn: There’s no such thing as an inherently stressful situation, workplace, or event. How to appreciate and benefit from the hidden information in your unconscious signals and intuitions How to adapt your decision making to meet the challenges of uncertainty, from the complicated and complex, to the outright chaotic When to define your limits and ‘line in the sand’ so that you never expose yourself to unmanageable risk or potential burnout What is it to, ‘Know Thyself’, through techniques that change perspective and bring clarity even in uncertain, turbulent times Techniques that can be easily taught to people you care about Lifelong resilience and being at your best is available to each of us, no matter what life throws at you. Resilience By Design was derived from the experiences of hundreds of people on the frontline of emergency services, defense, Olympic level sports, business, art, science, and many other areas of expertise—from firefighters and paramedics to social workers and athletes. This book is written for students and teachers, parents and children, caregivers and patients, athletes and coaches, managers and employees, entrepreneurs, and fortune 500 CEOs, and anyone who wishes to know how to survive and thrive in an ever more complex and turbulent world.

Teaching And Learning Discrete Mathematics Worldwide Curriculum And Research

Author : Eric W. Hart
ISBN : 9783319703084
Genre : Education
File Size : 89. 64 MB
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This book discusses examples of discrete mathematics in school curricula, including in the areas of graph theory, recursion and discrete dynamical systems, combinatorics, logic, game theory, and the mathematics of fairness. In addition, it describes current discrete mathematics curriculum initiatives in several countries, and presents ongoing research, especially in the areas of combinatorial reasoning and the affective dimension of learning discrete mathematics. Discrete mathematics is the math of our time.' So declared the immediate past president of the National Council of Teachers of Mathematics, John Dossey, in 1991. Nearly 30 years later that statement is still true, although the news has not yet fully reached school mathematics curricula. Nevertheless, much valuable work has been done, and continues to be done. This volume reports on some of that work. It provides a glimpse of the state of the art in learning and teaching discrete mathematics around the world, and it makes the case once again that discrete mathematics is indeed mathematics for our time, even more so today in our digital age, and it should be included in the core curricula of all countries for all students.

Behavioral Predictive Modeling In Economics

Author : Songsak Sriboonchitta
ISBN : 9783030497286
Genre : Technology & Engineering
File Size : 46. 53 MB
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This book presents both methodological papers on and examples of applying behavioral predictive models to specific economic problems, with a focus on how to take into account people's behavior when making economic predictions. This is an important issue, since traditional economic models assumed that people make wise economic decisions based on a detailed rational analysis of all the relevant aspects. However, in reality – as Nobel Prize-winning research has shown – people have a limited ability to process information and, as a result, their decisions are not always optimal. Discussing the need for prediction-oriented statistical techniques, since many statistical methods currently used in economics focus more on model fitting and do not always lead to good predictions, the book is a valuable resource for researchers and students interested in the latest results and challenges and for practitioners wanting to learn how to use state-of-the-art techniques.

Play Among Books

Author : Miro Roman
ISBN : 9783035624052
Genre : Architecture
File Size : 72. 12 MB
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How does coding change the way we think about architecture? This question opens up an important research perspective. In this book, Miro Roman and his AI Alice_ch3n81 develop a playful scenario in which they propose coding as the new literacy of information. They convey knowledge in the form of a project model that links the fields of architecture and information through two interwoven narrative strands in an “infinite flow” of real books. Focusing on the intersection of information technology and architectural formulation, the authors create an evolving intellectual reflection on digital architecture and computer science.

Learning And Teaching Mathematics In The Global Village

Author : Marcel Danesi
ISBN : 9783319322803
Genre : Education
File Size : 64. 33 MB
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This book provides a fundamental reassessment of mathematics education in the digital era. It constitutes a new mindset of how information and knowledge are processed by introducing new interconnective and interactive pedagogical approaches. Math education is catching up on technology, as courses and materials use digital sources and resources more and more. The time has come to evaluate this new dynamic, which transcends all previous use of ancillary devices to supplement classroom math instruction. Interactivity and interconnectivity with the online world of math and math texts (such as television programs and internet sites) can be integrated with our traditional modes for delivery of math instruction. This book looks at how this integration can unfold practically by applying these relevant pedagogical principles to elementary topics such as numeration, arithmetic, algebra, story problems, combinatorics, and basic probability theory. The book further exemplifies how mathematics can be connected to topics in popular culture, information technologies, and other such domains.

The Kuhnian Image Of Science

Author : Moti Mizrahi
ISBN : 9781786603425
Genre : Philosophy
File Size : 45. 37 MB
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The essays in this collection offer a critical examination of the arguments for and against the Kuhnian image of science as well as their implications for our understanding of science as a social and epistemic enterprise.

Uptet Teacher Selection Paper 1 For Class 1 To 5 2020

Author : Arihant Experts
ISBN : 9789325292406
Genre : Study Aids
File Size : 32. 39 MB
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Teaching is one of the oldest and most respected profession, it molds the fragile minds into a strong independent decision makers. UPTET is a state level Test that is conducted by UPBEB (Uttar Pradesh Basic Education Board) for the requirement of Primary and Upper Primary Level Teachers in various schools of Uttar Pradesh. UPTET exam is conducts two phases – Phase 1 – For Primary Teachers and Phase 2 – For Upper Primary Teachers. The eligibility criteria for both Phases are different. The present edition of UPTET Paper 1Teacher Selection for Class I-V gives the best study material to the aspirants who are willing to pursue teaching as a profession. The book is divided 5 Sections which are further divided into chapters and covering the complete syllabus. It provides Previous Years’ Solved Papers [2018-2016] in the beginning of the book in order to make applicants understand the latest pattern of the examination and the answer writing tactics. Answers of each question is well explained with the concepts in an easy to understand language so the candidates could grasp it easily and quickly. Ample amount of questions are given in the book for thorough practice. This book is an excellent guide to prepare the students for facing the upcoming UPTET Exam. TABLE OF CONTENT Solved Paper (November) 2018, Solved Paper (October) 2017, Solved Paper (December) 2016, Solved Paper (February) 2016, Child Development and Pedagogy, Language I (English), Language II (Hindi), Mathematics, Environmental Studies.

Study Guide For Ctet Paper 1 Class 1 5 Teachers With Past Questions 5th Edition

Author : 9789387045941
ISBN : 9789387045941
Genre :
File Size : 33. 29 MB
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Teaching And Learning Mathematics Online

Author : James P. Howard, II
ISBN : 9781351245562
Genre : Mathematics
File Size : 78. 83 MB
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Online education has become a major component of higher education worldwide. In mathematics and statistics courses, there exists a number of challenges that are unique to the teaching and learning of mathematics and statistics in an online environment. These challenges are deeply connected to already existing difficulties related to math anxiety, conceptual understanding of mathematical ideas, communicating mathematically, and the appropriate use of technology. Teaching and Learning Mathematics Online bridges these issues by presenting meaningful and practical solutions for teaching mathematics and statistics online. It focuses on the problems observed by mathematics instructors currently working in the field who strive to hone their craft and share best practices with our professional community. The book provides a set of standard practices, improving the quality of online teaching and the learning of mathematics. Instructors will benefit from learning new techniques and approaches to delivering content. Features Based on the experiences of working educators in the field Assimilates the latest technology developments for interactive distance education Focuses on mathematical education for developing early mathematics courses

Twists Tilings And Tessellations

Author : Robert J. Lang
ISBN : 9781482262414
Genre : Mathematics
File Size : 89. 23 MB
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Twists, Tilings, and Tessellation describes the underlying principles and mathematics of the broad and exciting field of abstract and mathematical origami, most notably the field of origami tessellations. It contains folding instructions, underlying principles, mathematical concepts, and many beautiful photos of the latest work in this fast-expanding field.

Ctet And Tet Mathematics And Pedagogy For Class 1 To 5 For 2021 Exams

Author : Arihant Experts
ISBN : 9789325790087
Genre :
File Size : 46. 67 MB
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1.The book “Mathematics & Pedagogy” prepares for teaching examination for (classes 1-5) 2.Guide is prepared on the basis of syllabus prescribed in CTET & other State TETs related examination 3.Divided in 2 Main Sections; Mathematics and Pedagogy giving Chapterwise coverage to the syllabus 4.Previous Years’ Solved Papers and 5 Practice sets are designed exactly on the latest pattern of the examination 5.More than 1500 MCQs for thorough for practice. 6.Useful for CTET, UPTET, HTET, UTET, CGTET, and all other states TETs. Robert Stenberg once said, “There is no Recipe to be a Great Teacher, that’s what, is unique about them”. CTET provides you with an opportunity to make a mark as an educator while teaching in Central Government School. Prepare yourself for the exam with current edition of “Mathematics and Pedagogy – Paper I” that has been developed based on the prescribed syllabus of CTET and other State TETs related examination. The book has been categorized under 2 Sections; Mathematics & Pedagogy giving clear understanding of the concepts in Chapterwise manner. Each chapter is supplied with enough theories, illustrations and examples. With more than 1500 MCQs help candidates for the quick of the chapters. Practice part has been equally paid attention by providing Previous Years’ Questions asked in CTET & TET, Practice Questions in every chapter, along with the 5 Practice Sets exactly based on the latest pattern of the Examination. Also, Latest Solved Paper is given to know the exact Trend and Pattern of the paper. Housed with ample number of questions for practice, it gives robust study material useful for CTET, UPTET, HTET, UTET,CGTET, and all other states TETs. TOC Solved Paper I & II 2021 (January), Solved Paper I 2019 (December), Solved Paper II 2019 (December), Solved Paper 2019 (July), Solved Paper 2018 (December), Mathematics:Number System, Fraction, LCM and HCF, Square – Square Root and Cube – Cube Root, Unit, Measurement and Mensuration, Geometry Shapes, Problem based on Arithmetic, Data Handling, Pedagogy: Nature of Mathematics, Mathematics in Curriculum, Language of Mathematics, Community Mathematics, Evaluation, Problems of Teaching Mathematics, Error Analysis, Diagnostic and Remedial Teaching, Practice Sets (1-5).

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