Number is an eloquent, accessible tour de force that reveals how the concept of number evolved from prehistoric times through the twentieth century. Tobias Dantzig shows that the development of math—from the invention of counting to the discovery of infinity—is a profoundly human story that progressed by “trying and erring, by groping and stumbling.” He shows how commerce, war, and religion led to advances in math, and he recounts the stories of individuals whose breakthroughs expanded the concept of number and created the mathematics that we know today.

Number: The Language of Science, The Masterpiece Science Edition

Science & Math

Dantzig, Tobias

Mazur, Joseph

Mazur, Barry

Mathematics

Pi Press

It sounds impossible, yet as this enchanting, quizzical and evocative book shows, the art of mathematical imagining is not as mysterious as it seems. Drawing on poetry, literature and philosophy, Barry Mazur shows how we can all make the leap of imagination in order to start visualizing the enigmatic 'imaginary numbers' tha

Imagining Numbers : (Particularly the Square Root of Minus Fifteen)

Penguin Books, Ltd.

Imagining Numbers: (Particularly The Square Root Of Minus Fifteen)

Barry Mazur invites lovers of poetry to make a leap into mathematics. Through discussions of the role of the imagination and imagery in both poetry and mathematics, Mazur reviews the writings of the early mathematical explorers and reveals the early bafflement of these Renaissance thinkers faced with imaginary numbers. Then he shows us, step-by-step, how to begin imagining these strange mathematical objects ourselves.

Imagining Numbers: (particularly the square root of minus fifteen)

Literature & Fiction

Poetry

Picador

How the elusive imaginary number was first imagined, and how to imagine it yourself Imagining Numbers (particularly the square root of minus fifteen) is Barry Mazur's invitation to those who take delight in the imaginative work of reading poetry, but may have no background in math, to make a leap of the imagination in mathematics. Imaginary numbers entered into mathematics in sixteenth-century Italy and were used with immediate success, but nevertheless presented an intriguing challenge to the imagination. It took more than two hundred years for mathematicians to discover a satisfactory way of "imagining" these numbers. With discussions about how we comprehend ideas both in poetry and in mathematics, Mazur reviews some of the writings of the earliest explorers of these elusive figures, such as Rafael Bombelli, an engineer who spent most of his life draining the swamps of Tuscany and who in his spare moments composed his great treatise "L'Algebra". Mazur encourages his readers to share the early bafflement of these Renaissance thinkers. Then he shows us, step by step, how to begin imagining, ourselves, imaginary numbers.

Farrar. Straus and Giroux

Arithmetic Moduli of Elliptic Curves (Annals of Mathematics Studies)

This work is a comprehensive treatment of recent developments in the study of elliptic curves and their moduli spaces. The arithmetic study of the moduli spaces began with Jacobi's "Fundamenta Nova" in 1829, and the modern theory was erected by Eichler-Shimura, Igusa, and Deligne-Rapoport. In the past decade mathematicians have made further substantial progress in the field. This book gives a complete account of that progress, including not only the work of the authors, but also that of Deligne and Drinfeld.

Arithmetic Moduli of Elliptic Curves. (AM-108), Volume 108 (Annals of Mathematics Studies, 108)

Katz, Nicholas M.

Princeton University Press

Prime Numbers and the Riemann Hypothesis

Prime numbers are beautiful, mysterious, and beguiling mathematical objects. The mathematician Bernhard Riemann made a celebrated conjecture about primes in 1859, the so-called Riemann Hypothesis, which remains to be one of the most important unsolved problems in mathematics. Through the deep insights of the authors, this book introduces primes and explains the Riemann Hypothesis. Students with minimal mathematical background and scholars alike will enjoy this comprehensive discussion of primes. The first part of the book will inspire the curiosity of a general reader with an accessible explanation of the key ideas. The exposition of these ideas is generously illuminated by computational graphics that exhibit the key concepts and phenomena in enticing detail. Readers with more mathematical experience will then go deeper into the structure of primes and see how the Riemann Hypothesis relates to Fourier analysis using the vocabulary of spectra. Readers with a strong mathematical background will be able to connect these ideas to historical formulations of the Riemann Hypothesis.

Stein, William

Cambridge University Press

Explicit constructions of universal extensions.- Universal extensions and crystals.

Universal Extensions and One Dimensional Crystalline Cohomology (Lecture Notes in Mathematics, 370)

Springer

See the best price to sell, buy, or rent books by Mazur, Barry. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Mazur, Barry

See the best price to sell, buy, or rent books by Mazur, Barry. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Number: The Language of Science, The Masterpiece Science Edition

Imagining Numbers : (Particularly the Square Root of Minus Fifteen)

Imagining Numbers: (particularly the square root of minus fifteen)

Imagining Numbers: (particularly the square root of minus fifteen)

Arithmetic Moduli of Elliptic Curves. (AM-108), Volume 108 (Annals of Mathematics Studies, 108)

Prime Numbers and the Riemann Hypothesis

Prime Numbers and the Riemann Hypothesis

Universal Extensions and One Dimensional Crystalline Cohomology (Lecture Notes in Mathematics, 370)