Mathematics For The Imagination
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Mathematics For The Imagination
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Author : Peter Higgins
language : en
Publisher: OUP Oxford
Release Date : 2002-09-26
Mathematics For The Imagination written by Peter Higgins and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-26 with Mathematics categories.
Mathematics for the Imagination provides an accessible and entertaining investigation into mathematical problems in the world around us. From world navigation, family trees, and calendars to patterns, tessellations, and number tricks, this informative and fun new book helps you to understand the maths behind real-life questions and rediscover your arithmetical mind. This is a follow-up to the popular Mathematics for the Curious, Peter Higgins's first investigation into real-life mathematical problems. A highly involving book which encourages the reader to enter into the spirit of mathematical exploration.
Mathematics And The Imagination
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Author : Edward Kasner
language : en
Publisher: Courier Corporation
Release Date : 2013-04-22
Mathematics And The Imagination written by Edward Kasner and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-22 with Mathematics categories.
With wit and clarity, the authors progress from simple arithmetic to calculus and non-Euclidean geometry. Their subjects: geometry, plane and fancy; puzzles that made mathematical history; tantalizing paradoxes; more. Includes 169 figures.
The Mathematical Imagination
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Author : Matthew Handelman
language : en
Publisher: Fordham Univ Press
Release Date : 2019-03-05
The Mathematical Imagination written by Matthew Handelman and has been published by Fordham Univ Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-05 with Philosophy categories.
This book offers an archeology of the undeveloped potential of mathematics for critical theory. As Max Horkheimer and Theodor W. Adorno first conceived of the critical project in the 1930s, critical theory steadfastly opposed the mathematization of thought. Mathematics flattened thought into a dangerous positivism that led reason to the barbarism of World War II. The Mathematical Imagination challenges this narrative, showing how for other German-Jewish thinkers, such as Gershom Scholem, Franz Rosenzweig, and Siegfried Kracauer, mathematics offered metaphors to negotiate the crises of modernity during the Weimar Republic. Influential theories of poetry, messianism, and cultural critique, Handelman shows, borrowed from the philosophy of mathematics, infinitesimal calculus, and geometry in order to refashion cultural and aesthetic discourse. Drawn to the austerity and muteness of mathematics, these friends and forerunners of the Frankfurt School found in mathematical approaches to negativity strategies to capture the marginalized experiences and perspectives of Jews in Germany. Their vocabulary, in which theory could be both mathematical and critical, is missing from the intellectual history of critical theory, whether in the work of second generation critical theorists such as Jürgen Habermas or in contemporary critiques of technology. The Mathematical Imagination shows how Scholem, Rosenzweig, and Kracauer’s engagement with mathematics uncovers a more capacious vision of the critical project, one with tools that can help us intervene in our digital and increasingly mathematical present. The Mathematical Imagination is available from the publisher on an open-access basis.
Geometry And The Imagination
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Author : D. Hilbert
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-03-17
Geometry And The Imagination written by D. Hilbert 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 2021-03-17 with Education categories.
This remarkable book has endured as a true masterpiece of mathematical exposition. There are few mathematics books that are still so widely read and continue to have so much to offer—even after more than half a century has passed! The book is overflowing with mathematical ideas, which are always explained clearly and elegantly, and above all, with penetrating insight. It is a joy to read, both for beginners and experienced mathematicians. “Hilbert and Cohn-Vossen” is full of interesting facts, many of which you wish you had known before. It's also likely that you have heard those facts before, but surely wondered where they could be found. The book begins with examples of the simplest curves and surfaces, including thread constructions of certain quadrics and other surfaces. The chapter on regular systems of points leads to the crystallographic groups and the regular polyhedra in R 3 R3. In this chapter, they also discuss plane lattices. By considering unit lattices, and throwing in a small amount of number theory when necessary, they effortlessly derive Leibniz's series: π/4=1−1/3+1/5−1/7+−… π/4=1−1/3+1/5−1/7+−…. In the section on lattices in three and more dimensions, the authors consider sphere-packing problems, including the famous Kepler problem. One of the most remarkable chapters is “Projective Configurations”. In a short introductory section, Hilbert and Cohn-Vossen give perhaps the most concise and lucid description of why a general geometer would care about projective geometry and why such an ostensibly plain setup is truly rich in structure and ideas. Here, we see regular polyhedra again, from a different perspective. One of the high points of the chapter is the discussion of Schlafli's Double-Six, which leads to the description of the 27 lines on the general smooth cubic surface. As is true throughout the book, the magnificent drawings in this chapter immeasurably help the reader. A particularly intriguing section in the chapter on differential geometry is Eleven Properties of the Sphere. Which eleven properties of such a ubiquitous mathematical object caught their discerning eye and why? Many mathematicians are familiar with the plaster models of surfaces found in many mathematics departments. The book includes pictures of some of the models that are found in the Göttingen collection. Furthermore, the mysterious lines that mark these surfaces are finally explained! The chapter on kinematics includes a nice discussion of linkages and the geometry of configurations of points and rods that are connected and, perhaps, constrained in some way. This topic in geometry has become increasingly important in recent times, especially in applications to robotics. This is another example of a simple situation that leads to a rich geometry. It would be hard to overestimate the continuing influence Hilbert-Cohn-Vossen's book has had on mathematicians of this century. It surely belongs in the “pantheon” of great mathematics books.
Understanding Imagination
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Author : Dennis L Sepper
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-05-13
Understanding Imagination written by Dennis L Sepper 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 2013-05-13 with Science categories.
This book discusses that imagination is as important to thinking and reasoning as it is to making and acting. By reexamining our philosophical and psychological heritage, it traces a framework, a conceptual topology, that underlies the most disparate theories: a framework that presents imagination as founded in the placement of appearances. It shows how this framework was progressively developed by thinkers like Plato, Aristotle, Descartes, and Kant, and how it is reflected in more recent developments in theorists as different as Peirce, Saussure, Wittgenstein, Benjamin, and Bachelard. The conceptual topology of imagination incorporates logic, mathematics, and science as well as production, play, and art. Recognizing this topology can move us past the confusions to a unifying view of imagination for the future.
Mathematics And The Imagination
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Author : Edward Kasner
language : en
Publisher: Courier Corporation
Release Date : 2001-01-01
Mathematics And The Imagination written by Edward Kasner and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-01-01 with Mathematics categories.
Introduces simple arithmetic, calculus, and non-Euclidean geometry through games and puzzles.
The Topological Imagination
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Author : Angus Fletcher
language : en
Publisher: Harvard University Press
Release Date : 2016-04-04
The Topological Imagination written by Angus Fletcher and has been published by Harvard University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-04 with Philosophy categories.
In a bold and boundary defining work, Angus Fletcher clears a space for an intellectual encounter with the shape of human imagining. Joining literature and topology—a branch of mathematics—he maps the ways the imagination’s contours are formed by the spherical earth’s patterns and cycles, and shows how the world we inhabit also inhabits us.
Mathematics And The Imagination
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Author : Edward Kasner
language : en
Publisher:
Release Date : 1949
Mathematics And The Imagination written by Edward Kasner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1949 with categories.
Mathematics For The Imagination
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Author : Peter Higgins
language : en
Publisher: Oxford University Press
Release Date : 2002-09-26
Mathematics For The Imagination written by Peter Higgins and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-26 with Mathematics categories.
Explains the mathematical concepts behind everyday life using clear explanations and examples of how mathematics can be applied to history, geography, astronomy, and biography.
Mathematics For The Imagination
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Author : Peter M. Higgins
language : en
Publisher:
Release Date : 2023
Mathematics For The Imagination written by Peter M. Higgins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Mathematics categories.
From world navigation, family trees, and calendars to patterns, tessellation and number tricks, this new work helps the reader to understand the maths behind real-life questions and rediscover the arithmetical mind.