1089 and All that

1089 and All that

Author: D. J. Acheson

Publisher: Oxford University Press, USA

Published: 2002

Total Pages: 200

ISBN-13: 9780198516231

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This excellent book, written by the established author David Acheson, makes mathematics accessible to everyone. Providing an entertaining and witty overview of the subject, the text includes several fascinating puzzles, and is accompanied by numerous illustrations and sketches by world famouscartoonists. This unusual book is one of the most readable explanations of mathematics available.


Number Theory in the Spirit of Liouville

Number Theory in the Spirit of Liouville

Author: Kenneth S. Williams

Publisher: Cambridge University Press

Published: 2011

Total Pages: 307

ISBN-13: 1107002532

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A gentle introduction to Liouville's powerful method in elementary number theory. Suitable for advanced undergraduate and beginning graduate students.


Mathematics for Human Flourishing

Mathematics for Human Flourishing

Author: Francis Su

Publisher: Yale University Press

Published: 2020-01-07

Total Pages: 287

ISBN-13: 0300248814

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Winner of the Mathematics Association of America's 2021 Euler Book Prize, this is an inclusive vision of mathematics—its beauty, its humanity, and its power to build virtues that help us all flourish“This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart.”—James Tanton, Global Math Project"A good book is an entertaining read. A great book holds up a mirror that allows us to more clearly see ourselves and the world we live in. Francis Su’s Mathematics for Human Flourishing is both a good book and a great book."—MAA Reviews For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity’s most beautiful ideas.In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award‑winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires—such as for play, beauty, freedom, justice, and love—and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother’s, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher’s letters to the author appear throughout the book and show how this intellectual pursuit can—and must—be open to all.


The Wonder Book of Geometry

The Wonder Book of Geometry

Author: David Acheson

Publisher: Oxford University Press

Published: 2020-10-22

Total Pages: 289

ISBN-13: 0192585371

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How can we be sure that Pythagoras's theorem is really true? Why is the 'angle in a semicircle' always 90 degrees? And how can tangents help determine the speed of a bullet? David Acheson takes the reader on a highly illustrated tour through the history of geometry, from ancient Greece to the present day. He emphasizes throughout elegant deduction and practical applications, and argues that geometry can offer the quickest route to the whole spirit of mathematics at its best. Along the way, we encounter the quirky and the unexpected, meet the great personalities involved, and uncover some of the loveliest surprises in mathematics.


The Spirit of Mathematics

The Spirit of Mathematics

Author: David Acheson

Publisher: Oxford University Press

Published: 2023-01-05

Total Pages: 193

ISBN-13: 019284508X

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What makes mathematics so special? Whether you have anxious memories of the subject from school, or solve quadratic equations for fun, David Acheson's book will make you look at mathematics afresh. Following on from his previous bestsellers, The Calculus Story and The Wonder Book of Geometry, here Acheson highlights the power of algebra, combining it with arithmetic and geometry to capture the spirit of mathematics. This short book encompasses an astonishing array of ideas and concepts, from number tricks and magic squares to infinite series and imaginary numbers. Acheson's enthusiasm is infectious, and, as ever, a sense of quirkiness and fun pervades the book. But it also seeks to crystallize what is special about mathematics: the delight of discovery; the importance of proof; and the joy of contemplating an elegant solution. Using only the simplest of materials, it conjures up the depth and the magic of the subject.


The Spirit of Inquiry

The Spirit of Inquiry

Author: Susannah Gibson

Publisher: Oxford University Press

Published: 2019-02-15

Total Pages: 422

ISBN-13: 0192569880

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Cambridge is now world-famous as a centre of science, but it wasn't always so. Before the nineteenth century, the sciences were of little importance in the University of Cambridge. But that began to change in 1819 when two young Cambridge fellows took a geological fieldtrip to the Isle of Wight. Adam Sedgwick and John Stevens Henslow spent their days there exploring, unearthing dazzling fossils, dreaming up elaborate theories about the formation of the earth, and bemoaning the lack of serious science in their ancient university. As they threw themselves into the exciting new science of geology - conjuring millions of years of history from the evidence they found in the island's rocks - they also began to dream of a new scientific society for Cambridge. This society would bring together like-minded young men who wished to learn of the latest science from overseas, and would encourage original research in Cambridge. It would be, they wrote, a society "to keep alive the spirit of inquiry". Their vision was realised when they founded the Cambridge Philosophical Society later that same year. Its founders could not have imagined the impact the Cambridge Philosophical Society would have: it was responsible for the first publication of Charles Darwin's scientific writings, and hosted some of the most heated debates about evolutionary theory in the nineteenth century; it saw the first announcement of x-ray diffraction by a young Lawrence Bragg - a technique that would revolutionise the physical, chemical and life sciences; it published the first paper by C.T.R. Wilson on his cloud chamber - a device that opened up a previously-unimaginable world of sub-atomic particles. 200 years on from the Society's foundation, this book reflects on the achievements of Sedgwick, Henslow, their peers, and their successors. Susannah Gibson explains how Cambridge moved from what Sedgwick saw as a "death-like stagnation" (really little more than a provincial training school for Church of England clergy) to being a world-leader in the sciences. And she shows how science, once a peripheral activity undertaken for interest by a small number of wealthy gentlemen, has transformed into an enormously well-funded activity that can affect every aspect of our lives.