A Mathematical Gallery
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A Mathematical Gallery
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Author : Lisl Gaal
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-10-31
A Mathematical Gallery written by Lisl Gaal and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-31 with Mathematics categories.
Embark on a playful mathematical tour, aided by Lisl Gaal's illustrations of familiar scenes and whimsical triggers for the imagination. Along the way, find fruit stands arranged using polynomial multiplication, checkerboard tablecloths sewed with patterns of primes in a two-dimensional number system, and deceptive cats revealing that simple counting is not always so simple. Grasping the mathematics in this book requires only a basic background in algebra and geometry, so while the ideas can be understood and enjoyed at a variety of levels, it is recommended for ages 13–99. Touching on topics in current research, this is a book to read and revisit, gaining new insights each time.
How To Guard An Art Gallery
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Author : T.S. Michael
language : en
Publisher: JHU Press
Release Date : 2009-09-01
How To Guard An Art Gallery written by T.S. Michael and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-01 with Mathematics categories.
An “accessible and engaging” tool for understanding the branch of mathematics that is so crucial to modern computer science, using real-life problems (Mathematical Reviews). What is the maximum number of pizza slices one can get by making four straight cuts through a circular pizza? How does a computer determine the best set of pixels to represent a straight line on a computer screen? How many people at a minimum does it take to guard an art gallery? Discrete mathematics has the answer to these—and many other—questions of picking, choosing, and shuffling. T. S. Michael’s gem of a book brings this vital but tough-to-teach subject to life using examples from the real world and popular culture. Each chapter uses one problem—such as slicing a pizza—to detail key concepts about counting numbers and arranging finite sets. Michael takes a different perspective in tackling each of eight problems and explains them in differing degrees of generality, showing in the process how the same mathematical concepts appear in varied guises and contexts. In doing so, he imparts a broader understanding of the ideas underlying discrete mathematics and helps readers appreciate and understand mathematical thinking and discovery. This book explains the basic concepts of discrete mathematics and demonstrates how to apply them in largely nontechnical language. The explanations and formulas can be grasped with a basic understanding of linear equations.
Gallery Of The Infinite
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Author : Richard Evan Schwartz
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-11-17
Gallery Of The Infinite written by Richard Evan Schwartz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-17 with Arithmetic categories.
Gallery of the Infinite is a mathematician's unique view of the infinitely many sizes of infinity. Written in a playful yet informative style, it introduces important concepts from set theory (including the Cantor Diagonalization Method and the Cantor-Bernstein Theorem) using colorful pictures, with little text and almost no formulas. It requires no specialized background and is suitable for anyone with an interest in the infinite, from advanced middle-school students to inquisitive adults.
The Calculus Gallery
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Author : William Dunham
language : en
Publisher: Princeton University Press
Release Date : 2018-11-13
The Calculus Gallery written by William Dunham and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-13 with Mathematics categories.
More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway to higher mathematics. This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late seventeenth century and continuing to Henri Lebesgue at the dawn of the twentieth. Now with a new preface by the author, this book documents the evolution of calculus from a powerful but logically chaotic subject into one whose foundations are thorough, rigorous, and unflinching—a story of genius triumphing over some of the toughest, subtlest problems imaginable. In touring The Calculus Gallery, we can see how it all came to be.
Mathematical Pictures At A Data Science Exhibition
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Author : Simon Foucart
language : en
Publisher: Cambridge University Press
Release Date : 2022-04-28
Mathematical Pictures At A Data Science Exhibition written by Simon Foucart and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-28 with Computers categories.
A diverse selection of data science topics explored through a mathematical lens.
Women Of Mathematics Throughout Europe
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Author :
language : en
Publisher:
Release Date : 2016
Women Of Mathematics Throughout Europe written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.
Mathematics And Art
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Author : Lynn Gamwell
language : en
Publisher: Princeton University Press
Release Date : 2016
Mathematics And Art written by Lynn Gamwell and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Art categories.
This is a cultural history of mathematics and art, from antiquity to the present. Mathematicians and artists have long been on a quest to understand the physical world they see before them and the abstract objects they know by thought alone. Taking readers on a tour of the practice of mathematics and the philosophical ideas that drive the discipline, Lynn Gamwell points out the important ways mathematical concepts have been expressed by artists. Sumptuous illustrations of artworks and cogent math diagrams are featured in Gamwell's comprehensive exploration. Gamwell begins by describing mathematics from antiquity to the Enlightenment, including Greek, Islamic, and Asian mathematics. Then focusing on modern culture, Gamwell traces mathematicians' search for the foundations of their science, such as David Hilbert's conception of mathematics as an arrangement of meaning-free signs, as well as artists' search for the essence of their craft, such as Aleksandr Rodchenko's monochrome paintings. She shows that self-reflection is inherent to the practice of both modern mathematics and art, and that this introspection points to a deep resonance between the two fields: Kurt Gödel posed questions about the nature of mathematics in the language of mathematics and Jasper Johns asked "What is art?" in the vocabulary of art. Throughout, Gamwell describes the personalities and cultural environments of a multitude of mathematicians and artists, from Gottlob Frege and Benoît Mandelbrot to Max Bill and Xu Bing. Mathematics and Art demonstrates how mathematical ideas are embodied in the visual arts and will enlighten all who are interested in the complex intellectual pursuits, personalities, and cultural settings that connect these vast disciplines.
Mathematics And Art
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Author : Claude P. Bruter
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Mathematics And Art written by Claude P. Bruter and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
Recent progress in research, teaching and communication has arisen from the use of new tools in visualization. To be fruitful, visualization needs precision and beauty. This book is a source of mathematical illustrations by mathematicians as well as artists. It offers examples in many basic mathematical fields including polyhedra theory, group theory, solving polynomial equations, dynamical systems and differential topology. For a long time, arts, architecture, music and painting have been the source of new developments in mathematics. And vice versa, artists have often found new techniques, themes and inspiration within mathematics. Here, while mathematicians provide mathematical tools for the analysis of musical creations, the contributions from sculptors emphasize the role of mathematics in their work.
Imagine Math 6
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Author : Michele Emmer
language : en
Publisher: Springer
Release Date : 2018-11-06
Imagine Math 6 written by Michele Emmer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-06 with Mathematics categories.
Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. Imagine building mathematical models that make it possible to manage our world better, imagine combining music, art, poetry, literature, architecture and cinema with mathematics. Imagine the unpredictable and sometimes counterintuitive applications of mathematics in all areas of human endeavour. Imagination and mathematics, imagination and culture, culture and mathematics. This sixth volume in the series begins with a homage to the architect Zaha Hadid, who died on March 31st, 2016, a few weeks before the opening of a large exhibition of her works in Palazzo Franchetti in Venice, where all the Mathematics and Culture conferences have taken place in the last years. A large section of the book is dedicated to literature, narrative and mathematics including a contribution from Simon Singh. It discusses the role of media in mathematics, including museums of science, journals and movies. Mathematics and applications, including blood circulation and preventing crimes using earthquakes, is also addressed, while a section on mathematics and art examines the role of math in design. A large selection presents photos of mathematicians and mathematical objects by Vincent Moncorge. Discussing all topics in a way that is rigorous but captivating, detailed but full of evocations, it offers an all-embracing look at the world of mathematics and culture.
Do Not Erase
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Author : Jessica Wynne
language : en
Publisher: Princeton University Press
Release Date : 2021-06-22
Do Not Erase written by Jessica Wynne and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-22 with Mathematics categories.
"Even as other disciplines have moved toward using whiteboards and projectors in their teaching and research, the mathematics community has largely remained wedded to the chalkboard. Chalkboards are not only an important tool for mathematical thought, but also a mainstay of mathematical culture-so much so that mathematicians have been known to stockpile particular types of chalk. In Do Not Erase, photographer Jessica Wynne explores the role of the chalkboard in mathematics through a series of photographs of mathematicians' chalkboards and accompanying essays. This book pays homage to the mathematician's cherished chalk board as a means to unlocking mathematical creative expression. The photographs, of which there are approximately one hundred, provide a glimpse into the teaching, research, and creative work of mathematicians around the world, from the United States to Europe to Brazil. Each photograph is accompanied by an essay on the facing page, written by the mathematician whose chalkboard is featured in the photograph. The essays vary in length and style; they provide insights into each mathematician's work, background, and research process, and reflect on the chalkboard as a medium for mathematical expression. Taken together, the photos and essays convey both the conceptual and visual beauty of the discipline-as well as its diversity. In addition to the photographs and essays, the book will include biographical information about each mathematician and an introduction by the author"--