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Elwes R: Huge Numbers

Huge Numbers

AK Peters/CRC Recreational Mathematics Series

Written in a clear, easy-to-understand, and conversational style; and enhanced with challenges and tips to broaden your flexagon skills and spark creativity, this book is a must for flexagon enthusiasts, teachers, students, libraries, mathematicians and everyone who loves to solve a good puzzle.

Fascinating Folded Paper Puzzles

The Secret World of Flexagons

Elements in the Philosophy of Mathematics

This Element introduces a young field, the 'philosophy of mathematical practice'. We first offer a general characterisation of the approach to the philosophy of mathematics that takes mathematical practice seriously and contrast it with 'mathematical philosophy'. The latter is traced back to Bertrand Russell and the orientation referred to as 'scientific philosophy' that was active between 1850 and 1930. To give a better sense of the field, the Element further contains two examples of topics studied, that of mathematical structuralism and visual thinking in mathematics. These are in part presented from a methodological point of view, focussing on mathematics as an activity and questions related to how mathematics develops. In addition, the Element contains several examples from mathematics, both historical and contemporary , to illustrate and support the philosophical points.

Introducing the Philosophy of Mathematical Practice

'WHAT TO READ IN 2025' FINANCIAL TIMESMany artists are unaware of the mathematics that bubble beneath their craft, while some consciously use it for inspiration. Our instincts might tell us that these two subjects are incompatible forces with nothing in common, but what if we're wrong?

How Mathematics Shapes Creativity

Blueprints

Introduces Aristotelian realist philosophy of mathematics through the work of leading Australian mathematician and historian of ideas, James Franklin.

Connecting Philosophy of Mathematics, Ethics and Probability

The Necessities Underlying Reality

How Practical Arithmetic Shaped Commerce and Mathematics in Western Europe, 1200–1600

The Craft of Indo-Arabic Numerals

Mathematics Study Resources

What kind of objects does mathematics investigate, and in what sense do these objects exist? Why are we justified in considering mathematical statements as part of our knowledge, and how can they be validated? A philosophy of mathematics seeks to answer such questions. In this introduction, we present the major positions in the philosophy of mathematics and formulate their core ideas into clear, accessible theses. Readers will learn which philosophers developed each position and the historical context in which they emerged. Drawing on fundamental intuitions and scientific findings, one can argue for or against these theses – such arguments form the second focus of this book. The book aims to encourage readers to reflect on the philosophy of mathematics, to develop their own stance, and to learn how to argue for it.
This book is a translation of the original German 2nd edition. The translation was done with the help of an artificial intelligence machine translation tool. A subsequent human revision was done primarily in terms of content, so that the book may read stylistically differently from a conventional translation.
The Author
Jörg Neunhäuserer earned his doctorate in mathematics at&nbsp;Freie Universität Berlin. He has published numerous articles in academic journals and has taught mathematics lectures in various bachelor's and master's programs at the universities of Berlin, Clausthal, Dresden, Hanover, and Lüneburg. His German-language books on Mathematical Concepts and Beautiful Theorems of Mathematics are also available from Springer Spektrum.

Introduction to the Philosophy of Mathematics

Plato und die Mathematik – Die Mathematik und Plato

Corwin Mathematics Series

Bridging the Gap Between Literacy and Mathematics

Readers Read. Writers Write. Mathers Math!

An accessible introduction to mathematical infinity for the endlessly curious &nbsp; Infinity has traditionally been a topic for philosophers, physicists, and artists, and it can be large, scary, or highly metaphorical. For mathematicians, however, infinity is not frightening or hopelessly abstract (though it is certainly big) but rather is a normal part of their work. In this guide, award-winning professor and author Edward R. Scheinerman offers an exploration of infinity for the curious. This is real math for real people, and you do not need a mastery of calculus to understand and enjoy it. &nbsp; Through witty and accessible prose, along with many illustrations, Scheinerman demonstrates how infinity is used in algebra, geometry, and logic, touching on hyperreal numbers, the hyperbolic plane, transfinite ordinals, and more. He ends each chapter with tantalizing questions to inspire readers toward further—infinite?—investigation. This book, by the author of The Mathematics Lover’s Companion, is for students, mathophiles, engineers, scientists, accountants—even people who fear mathematics!

Ten Mathematical Journeys

A Guide to Infinity

'WHAT TO READ IN 2025' FINANCIAL TIMESMany artists are unaware of the mathematics that bubble beneath their craft, while some consciously use it for inspiration. Our instincts might tell us that these two subjects are incompatible forces with nothing in common, but what if we're wrong?Marcus du Sautoy, acclaimed mathematician and Simonyi Professor for the Public Understanding of Science at the University of Oxford, looks to art, music, design and literature to uncover the key mathematical structures that underpin both human creativity and the natural world.Blueprints takes us from the earliest stone circles to the modernist architecture of Le Corbusier, from Bach's circular compositions to Radiohead's disruptive soundscapes, and from Shakespeare's hidden numerical clues to the Dada artists who embraced randomness. Instead of polar opposites we find a complementary relationship that spans a vast historical and geographic landscape.Whether we are searching for meaning in an abstract painting or deciphering poetry, there are blueprints everywhere: prime numbers, symmetry, fractals and the weirder worlds of Hamiltonian cycles and hyperbolic geometry. Nature similarly exploits these structures to achieve the wonders of our universe.In this innovative and delightfully bold exploration of creativity, Marcus explains how we make art, why a creative mindset is vital for discovering new mathematics and how a fundamental connection to the natural world intrinsically links these two subjects.'Blueprints is an extraordinary book which shows us how mathematics and art are connected through structures. Du Sautoy shows us how to bridge the divide of science and the humanities and proves that we can only face and solve the big challenges of the twenty-first century if we go beyond the fear of pooling knowledge' Hans Ulrich Obrist, Artistic Director, Serpentine Galleries

Huge Numbers

Informations bibliographiques

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