50 Visions Of Mathematics

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50 Visions of Mathematics

Author : Dara O' Briain
Publisher : OUP Oxford
ISBN 13 : 0191005347
Total Pages : 417 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis 50 Visions of Mathematics by : Dara O' Briain

Download or read book 50 Visions of Mathematics written by Dara O' Briain and published by OUP Oxford. This book was released on 2014-05-01 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relax: no one understands technical mathematics without lengthy training but we all have an intuitive grasp of the ideas behind the symbols. To celebrate the 50th anniversary of the founding of the Institute of Mathematics and its Applications (IMA), this book is designed to showcase the beauty of mathematics - including images inspired by mathematical problems - together with its unreasonable effectiveness and applicability, without frying your brain. The book is a collection of 50 original essays contributed by a wide variety of authors. It contains articles by some of the best expositors of the subject (du Sautoy, Singh and Stewart for example) together with entertaining biographical pieces and articles of relevance to our everyday lives (such as Spiegelhalter on risk and Elwes on medical imaging). The topics covered are deliberately diverse and involve concepts from simple numerology to the very cutting edge of mathematics research. Each article is designed to be read in one sitting and to be accessible to a general audience. There is also other content. There are 50 pictorial 'visions of mathematics' which were supplied in response to an open call for contributions from IMA members, Plus readers and the worldwide mathematics community. You'll also find a series of "proofs " of Phythagoras's Theorem - mathematical, literary and comedy - after this, you'll never think of Pythagoras the same way again.

The Great Mathematical Problems

Author : Ian Stewart
Publisher : Profile Books
ISBN 13 : 1847653510
Total Pages : 468 pages
Book Rating : 4.8/5 (476 download)

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Book Synopsis The Great Mathematical Problems by : Ian Stewart

Download or read book The Great Mathematical Problems written by Ian Stewart and published by Profile Books. This book was released on 2013-03-07 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are some mathematical problems whose significance goes beyond the ordinary - like Fermat's Last Theorem or Goldbach's Conjecture - they are the enigmas which define mathematics. The Great Mathematical Problems explains why these problems exist, why they matter, what drives mathematicians to incredible lengths to solve them and where they stand in the context of mathematics and science as a whole. It contains solved problems - like the Poincaré Conjecture, cracked by the eccentric genius Grigori Perelman, who refused academic honours and a million-dollar prize for his work, and ones which, like the Riemann Hypothesis, remain baffling after centuries. Stewart is the guide to this mysterious and exciting world, showing how modern mathematicians constantly rise to the challenges set by their predecessors, as the great mathematical problems of the past succumb to the new techniques and ideas of the present.

X and the City

Author : John Adam
Publisher : Princeton University Press
ISBN 13 : 1400841690
Total Pages : 340 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis X and the City by : John Adam

Download or read book X and the City written by John Adam and published by Princeton University Press. This book was released on 2012-05-27 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: What mathematical modeling uncovers about life in the city X and the City, a book of diverse and accessible math-based topics, uses basic modeling to explore a wide range of entertaining questions about urban life. How do you estimate the number of dental or doctor's offices, gas stations, restaurants, or movie theaters in a city of a given size? How can mathematics be used to maximize traffic flow through tunnels? Can you predict whether a traffic light will stay green long enough for you to cross the intersection? And what is the likelihood that your city will be hit by an asteroid? Every math problem and equation in this book tells a story and examples are explained throughout in an informal and witty style. The level of mathematics ranges from precalculus through calculus to some differential equations, and any reader with knowledge of elementary calculus will be able to follow the materials with ease. There are also some more challenging problems sprinkled in for the more advanced reader. Filled with interesting and unusual observations about how cities work, X and the City shows how mathematics undergirds and plays an important part in the metropolitan landscape.

International Reflections on the Netherlands Didactics of Mathematics

Author : Marja van den Heuvel-Panhuizen
Publisher : Springer
ISBN 13 : 3030202232
Total Pages : 369 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis International Reflections on the Netherlands Didactics of Mathematics by : Marja van den Heuvel-Panhuizen

Download or read book International Reflections on the Netherlands Didactics of Mathematics written by Marja van den Heuvel-Panhuizen and published by Springer. This book was released on 2019-08-13 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book, inspired by the ICME 13 Thematic Afternoon on “European Didactic Traditions”, takes readers on a journey with mathematics education researchers, developers and educators in eighteen countries, who reflect on their experiences with Realistic Mathematics Education (RME), the domain-specific instruction theory for mathematics education developed in the Netherlands since the late 1960s. Authors from outside the Netherlands discuss what aspects of RME appeal to them, their criticisms of RME and their past and current RME-based projects. It is clear that a particular approach to mathematics education cannot simply be transplanted to another country. As such, in eighteen chapters the authors describe how they have adapted RME to their individual circumstances and view on mathematics education, and tell their personal stories about how RME has influenced their thinking on mathematics education.

Lumen Naturae

Author : Matilde Marcolli
Publisher : MIT Press
ISBN 13 : 0262043904
Total Pages : 390 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Lumen Naturae by : Matilde Marcolli

Download or read book Lumen Naturae written by Matilde Marcolli and published by MIT Press. This book was released on 2020-05-26 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring common themes in modern art, mathematics, and science, including the concept of space, the notion of randomness, and the shape of the cosmos. This is a book about art—and a book about mathematics and physics. In Lumen Naturae (the title refers to a purely immanent, non-supernatural form of enlightenment), mathematical physicist Matilde Marcolli explores common themes in modern art and modern science—the concept of space, the notion of randomness, the shape of the cosmos, and other puzzles of the universe—while mapping convergences with the work of such artists as Paul Cezanne, Mark Rothko, Sol LeWitt, and Lee Krasner. Her account, focusing on questions she has investigated in her own scientific work, is illustrated by more than two hundred color images of artworks by modern and contemporary artists. Thus Marcolli finds in still life paintings broad and deep philosophical reflections on space and time, and connects notions of space in mathematics to works by Paul Klee, Salvador Dalí, and others. She considers the relation of entropy and art and how notions of entropy have been expressed by such artists as Hans Arp and Fernand Léger; and traces the evolution of randomness as a mode of artistic expression. She analyzes the relation between graphical illustration and scientific text, and offers her own watercolor-decorated mathematical notebooks. Throughout, she balances discussions of science with explorations of art, using one to inform the other. (She employs some formal notation, which can easily be skipped by general readers.) Marcolli is not simply explaining art to scientists and science to artists; she charts unexpected interdependencies that illuminate the universe.

Visions of the Universe

Author : Alex Bellos
Publisher : The Experiment
ISBN 13 : 1615193677
Total Pages : 147 pages
Book Rating : 4.6/5 (151 download)

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Book Synopsis Visions of the Universe by : Alex Bellos

Download or read book Visions of the Universe written by Alex Bellos and published by The Experiment. This book was released on 2016-11-29 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: Peek “behind the scenes” of the universe—and see math in brilliant color! For curious minds throughout history, math was truly an art. In Visions of the Universe, you can pick up right where Isaac Newton, Blaise Pascal, and other luminaries left off—by coloring 58 exquisite patterns inspired by great discoveries in math: Intricate geometric designs like those that grace the mosques of Mecca Felix Klein’s astounding diagram—drawn in 1897—of light reflecting between five mirrored spheres A mind-bending puzzle so beautiful it once hung outside a Japanese temple, and more! Plus, in the Creating chapter, you’ll help complete 10 additional images by following simple steps that give spectacular results. No math knowledge is required: Anyone can be an artist in Numberland!

Naming Infinity

Author : Loren Graham
Publisher : Harvard University Press
ISBN 13 : 0674032934
Total Pages : 252 pages
Book Rating : 4.6/5 (74 download)

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Book Synopsis Naming Infinity by : Loren Graham

Download or read book Naming Infinity written by Loren Graham and published by Harvard University Press. This book was released on 2009-03-31 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1913, Russian imperial marines stormed an Orthodox monastery at Mt. Athos, Greece, to haul off monks engaged in a dangerously heretical practice known as Name Worshipping. Exiled to remote Russian outposts, the monks and their mystical movement went underground. Ultimately, they came across Russian intellectuals who embraced Name Worshipping—and who would achieve one of the biggest mathematical breakthroughs of the twentieth century, going beyond recent French achievements. Loren Graham and Jean-Michel Kantor take us on an exciting mathematical mystery tour as they unravel a bizarre tale of political struggles, psychological crises, sexual complexities, and ethical dilemmas. At the core of this book is the contest between French and Russian mathematicians who sought new answers to one of the oldest puzzles in math: the nature of infinity. The French school chased rationalist solutions. The Russian mathematicians, notably Dmitri Egorov and Nikolai Luzin—who founded the famous Moscow School of Mathematics—were inspired by mystical insights attained during Name Worshipping. Their religious practice appears to have opened to them visions into the infinite—and led to the founding of descriptive set theory. The men and women of the leading French and Russian mathematical schools are central characters in this absorbing tale that could not be told until now. Naming Infinity is a poignant human interest story that raises provocative questions about science and religion, intuition and creativity.

Beautiful Geometry

Author : Eli Maor
Publisher : Princeton University Press
ISBN 13 : 0691175888
Total Pages : 206 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Beautiful Geometry by : Eli Maor

Download or read book Beautiful Geometry written by Eli Maor and published by Princeton University Press. This book was released on 2017-04-11 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exquisite visual celebration of the 2,500-year history of geometry If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each. With artwork by Swiss artist Eugen Jost and text by math historian Eli Maor, this unique celebration of geometry covers numerous subjects, from straightedge-and-compass constructions to intriguing configurations involving infinity. The result is a delightful and informative illustrated tour through the 2,500-year-old history of one of the most important branches of mathematics.

Visions in Mathematics

Author : Noga Alon
Publisher : Springer Science & Business Media
ISBN 13 : 303460422X
Total Pages : 454 pages
Book Rating : 4.0/5 (346 download)

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Book Synopsis Visions in Mathematics by : Noga Alon

Download or read book Visions in Mathematics written by Noga Alon and published by Springer Science & Business Media. This book was released on 2011-03-31 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Visions in Mathematics - Towards 2000" was one of the most remarkable mathematical meetings in recent years. It was held in Tel Aviv from August 25th to September 3rd, 1999, and united some of the leading mathematicians worldwide. The goals of the conference were to discuss the importance, the methods, the past and the future of mathematics as we enter the 21st century and to consider the connection between mathematics and related areas. The aims of the conference are reflected in the present set of survey articles, documenting the state of art and future prospects in many branches of mathematics of current interest. This is the first part of a two-volume set that will serve any research mathematician or advanced student as an overview and guideline through the multifaceted body of mathematical research in the present and near future.

Many Visions, Many Aims

Author : W.H. Schmidt
Publisher : Springer Science & Business Media
ISBN 13 : 0792344383
Total Pages : 284 pages
Book Rating : 4.7/5 (923 download)

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Book Synopsis Many Visions, Many Aims by : W.H. Schmidt

Download or read book Many Visions, Many Aims written by W.H. Schmidt and published by Springer Science & Business Media. This book was released on 1997-08-31 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: PREFACE The Third International Mathematics and Science Study (TIMSS), sponsored by the International Association for the Evaluation of Educational Achievement (IEA) and the g- ernments of the participating countries, is acomparative study of education in mathematics and the sciences conducted in approximately 50 educational systems on six continents. The goal of TIMSS is to measure student achievement in mathematics and science in participating countries and to assess some of the curricular and classroom factors that are related to student learning in these subjects. The study is intended to provide educators and policy makers with an unpar- leled and multidimensional perspective on mathematics and science curricula; their implem- tation; the nature of student performance in mathematics and science; and the social, econ- ic, and educational context in which these occur. TIMSS focuses on student learning and achievement in mathematics and science at three different age levels, or populations. • Population 1 is defined as all students enrolled in the two adjacent grades that contain the largest proportion of 9-year-old students; • Population 2 is defined as all students enrolled in the two adjacent grades that contain the largest proportion of 13-year-old students; and • Population 3 is defined as all students in their final year of secondary education, incl- ing students in vocational education programs. In addition, Population 3 has two “specialist” subpopulations: students taking advanced courses in mathematics (mathematics specialists), and students taking advanced courses in physics (physics specialists).

Visions of the Multiverse

Author : Steven Manly
Publisher : Red Wheel/Weiser
ISBN 13 : 1601637209
Total Pages : 317 pages
Book Rating : 4.6/5 (16 download)

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Book Synopsis Visions of the Multiverse by : Steven Manly

Download or read book Visions of the Multiverse written by Steven Manly and published by Red Wheel/Weiser. This book was released on 2011-02-20 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: The idea of a multiple universe reality is no longer considered speculative or implausible by many physicists; rather, it is deemed inescapable. Distinct concepts of the multiverse spring from quantum mechanics, cosmology, string theory-based cosmology, and ideas about a mathematics based reality that borders on the religious.In this accessible and entertaining book, Dr. Manly guides you on a tour of the many multiverse concepts and provides the non-technical background to understand them.Visions of the Multiverse explores questions such as:•Just what is a multiverse?•What are the different concepts of the multiverse and how are they related?•Is it possible to determine if we live in a multiverse...or even in multiple types of multiverses?•How do religious concepts of the afterlife and popular ideas based on the Law of Attraction relate to the scientific visions of the multiverse?Dr. Manly discusses a wide variety of fascinating concepts from relativity and the fundamental particles and forces of nature to dark matter, dark energy, and quantum mechanics in an unintimidating and conversational tone.Is humanity is in the midst of a new Copernican revolution? You decide.

The Principles of Mathematics

Author : Bertrand Russell
Publisher : W. W. Norton & Company
ISBN 13 : 9780393314045
Total Pages : 580 pages
Book Rating : 4.3/5 (14 download)

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Book Synopsis The Principles of Mathematics by : Bertrand Russell

Download or read book The Principles of Mathematics written by Bertrand Russell and published by W. W. Norton & Company. This book was released on 1996 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Russell's classic The Principles of Mathematics sets forth his landmark thesis that mathematics and logic are identical--that what is commonly called mathematics is simply later deductions from logical premises.

The Grapes of Math

Author : Alex Bellos
Publisher : Simon and Schuster
ISBN 13 : 1451640129
Total Pages : 352 pages
Book Rating : 4.4/5 (516 download)

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Book Synopsis The Grapes of Math by : Alex Bellos

Download or read book The Grapes of Math written by Alex Bellos and published by Simon and Schuster. This book was released on 2014-06-10 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: From triangles, rotations and power laws, to cones, curves and the dreaded calculus, Alex takes you on a journey of mathematical discovery with his signature wit and limitless enthusiasm. He sifts through over 30,000 survey submissions to uncover the world’s favourite number, and meets a mathematician who looks for universes in his garage. He attends the World Mathematical Congress in India, and visits the engineer who designed the first roller-coaster loop. Get hooked on math as Alex delves deep into humankind’s turbulent relationship with numbers, and reveals how they have shaped the world we live in.

Write for Mathematics

Author : Andrew Rothstein
Publisher : Corwin Press
ISBN 13 : 1452292876
Total Pages : 297 pages
Book Rating : 4.4/5 (522 download)

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Book Synopsis Write for Mathematics by : Andrew Rothstein

Download or read book Write for Mathematics written by Andrew Rothstein and published by Corwin Press. This book was released on 2006-08-18 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addressing NCTM standards, this second edition offers a wide range of practical writing strategies to help students deepen their understanding of mathematical concepts and theories.

Twenty Things to Do with a Computer Forward 50

Author : Gary S. Stager
Publisher :
ISBN 13 : 9781955604017
Total Pages : 418 pages
Book Rating : 4.6/5 (4 download)

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Book Synopsis Twenty Things to Do with a Computer Forward 50 by : Gary S. Stager

Download or read book Twenty Things to Do with a Computer Forward 50 written by Gary S. Stager and published by . This book was released on 2021-11-22 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1971, Cynthia Solomon and Seymour Papert published Twenty Things to Do with a Computer, a revolutionary document that would set the course of education for the next fifty years and beyond. This book, Twenty Things to Do with a Computer Forward 50, is a celebration of the vision set forth by Papert and Solomon a half-century ago. Four dozen experts from around the world invite us to consider the original provocations, reflect on their implementation, and chart a course for the future through personal recollections, learning stories, and imaginative scenarios. Twenty Things to Do with a Computer Forward 50 can inspire parents, educators, and aspiring teachers to make the world a better place for learning. The impact of Twenty Things is all around us. In 1971, Solomon and Papert predicted 1:1 personal computing, the maker movement, the rise of computational thinking, children programming computers, robotic construction kits, computer science for all, and integrating computing across the curriculum. All of this, years, or even decades, before such notions became more commonplace. In fewer than thirty pages, Twenty Things to Do with a Computer introduced readers to an exciting world in which children use computers they own to create, solve problems, control their world, and bring powerful ideas to life across subject areas. More importantly, Twenty Things situates the ideals of progressive education in a modern context. Papert and Solomon demonstrated how computing could be creative, humane, whimsical, childlike, and a way to learn "everything else," even ideas at the frontiers of mathematics and science. Contributors to this book include scholars and tech pioneers who worked with Papert and Solomon in the 1970s, phenomenal classroom teachers, inventors, researchers, school administrators, university professors, and educational technology leaders. Essays in this collection offer multiple pathways for school reform. Authors include Cynthia Solomon, Sugata Mitra, Conrad Wolfram, Audrey Watters, David Thornburg, Yasmin Kafai, Dale Dougherty, Nettrice Gaskins, Dan Lynn Watt, Molly Lynn Watt, Gary Stager, Artemis Papert, Stephen Heppell, along with forty other brilliant thinkers and legendary educators. Twenty Things to Do with a Computer Forward 50 is an effort to preserve a historical document and share it with future of generations seeking a more creative, personal, empowering, and meaningful educational experience for young people. This book is a must-read for: Educators School leaders Preservice teachers Policymakers Technology developers Parents

Viewpoints

Author : Marc Frantz
Publisher : Princeton University Press
ISBN 13 : 140083905X
Total Pages : 259 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Viewpoints by : Marc Frantz

Download or read book Viewpoints written by Marc Frantz and published by Princeton University Press. This book was released on 2011-07-05 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: An undergraduate textbook devoted exclusively to relationships between mathematics and art, Viewpoints is ideally suited for math-for-liberal-arts courses and mathematics courses for fine arts majors. The textbook contains a wide variety of classroom-tested activities and problems, a series of essays by contemporary artists written especially for the book, and a plethora of pedagogical and learning opportunities for instructors and students. Viewpoints focuses on two mathematical areas: perspective related to drawing man-made forms and fractal geometry related to drawing natural forms. Investigating facets of the three-dimensional world in order to understand mathematical concepts behind the art, the textbook explores art topics including comic, anamorphic, and classical art, as well as photography, while presenting such mathematical ideas as proportion, ratio, self-similarity, exponents, and logarithms. Straightforward problems and rewarding solutions empower students to make accurate, sophisticated drawings. Personal essays and short biographies by contemporary artists are interspersed between chapters and are accompanied by images of their work. These fine artists--who include mathematicians and scientists--examine how mathematics influences their art. Accessible to students of all levels, Viewpoints encourages experimentation and collaboration, and captures the essence of artistic and mathematical creation and discovery. Classroom-tested activities and problem solving Accessible problems that move beyond regular art school curriculum Multiple solutions of varying difficulty and applicability Appropriate for students of all mathematics and art levels Original and exclusive essays by contemporary artists Forthcoming: Instructor's manual (available only to teachers)

Visions of Discovery

Author : Raymond Y. Chiao
Publisher : Cambridge University Press
ISBN 13 : 0521882397
Total Pages : 827 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Visions of Discovery by : Raymond Y. Chiao

Download or read book Visions of Discovery written by Raymond Y. Chiao and published by Cambridge University Press. This book was released on 2011 with total page 827 pages. Available in PDF, EPUB and Kindle. Book excerpt: World-leading researchers, including Nobel Laureates, explore the most basic questions of science, philosophy, and the nature of existence.