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Imagining Numbers: Particularly the Square Root of Minus Fifteen
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Barry Mazur
"Imagining Numbers" is 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. Then he shows, step by step, how to begin imagining imaginary numbers.
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The Education of T.C. Mits: What Modern Mathematics Means to You
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Lillian R Lieber, Hugh Gray Lieber (Illustrator), Barry Mazur (Foreword by)
Whether you are stumped by the "commutative law" in algebra or a whiz at multiplying three-digit numbers in your head, this book opens the door to the wonders of mathematical imagining. By using simple language and intriguing illustrations drawn by her husband, Hugh, Lillian Lieber presents subtle mathematical concepts in an easy-to-understand way ...
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Number: 7the Language of Science
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Tobias Dantzig, Joseph Mazur, Barry Mazur
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Infinity: Beyond the Beyond the Beyond
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Lillian R Lieber, Barry Mazur (Editor), Hugh Gray Lieber (Illustrator)
This book offers an entertaining, yet thorough, explanation of the concept of, yes, infinity. Accessible to non-mathematicians, this book also cleverly connects mathematical reasoning to larger issues in society.
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Smoothings of Piecewise Linear Manifolds
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Morris W Hirsch, Barry Mazur
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Current Developments in Mathematics
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Barry Mazur (Editor), S T Yau (Editor), Wilfried Schmid (Editor)
A survey of mathematical developments during 1998. Topics covered include mirror principle, symplectic topology, o-minimal structures, and asymptotic solutions to dynamics of many-body systems and classical continuum equations.
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Do the Math
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Emily Galvin, Barry Mazur (Foreword by)
Emily Galvin, as much a mathematician as poet, explores the connection between poetry and science by using the Fibonacci sequence and other mathematical formulas to create undeniably compelling and imaginative poems and short lyrical plays. But no mere math exercises, these poems brim with emotional insight and extraordinary wit. A significant ...
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Kolyvagin Systems
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Barry Mazur
Since their introduction by Kolyvagin, Euler systems have been used in several important applications in arithmetic algebraic geometry. For a $p$-adic Galois module $T$, Kolyvagin's machinery is designed to provide an upper bound for the size of the Selmer group associated to the Cartier dual $T^*$. Given an Euler system, Kolyvagin produces a ...
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Arithmetic moduli of elliptic curves
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Nicholas M Katz
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Etale Homotopy
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Professor Michael Artin, Barry Mazur
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Universal Extensions and One Dimensional Crystalline Cohomology
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Barry Mazur
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Filtrations on the Homology of Algebraic Varieties
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Barry Mazur, Eric M. Friedlander
This work provides a detailed exposition of a classical topic from a very recent viewpoint. Friedlander and Mazur describe some foundational aspects of 'Lawson homology' for complex projective algebraic varieties, a homology theory defined in terms of homotopy groups of spaces of algebraic cycles. Attention is paid to methods of group completing ...
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