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Pythagoras' legacy : mathematics in ten great ideas / Marcel Danesi

Author
Danesi, Marcel, 1946-
Published
Oxford : Oxford University Press, 2020.
Edition
First edition.
Physical Description
1 online resource : illustrations (black and white).
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Series
Contents
Machine generated contents note: 1.The Pythagorean theorem: The birth of mathematics -- Prologue -- The Pythagorean theorem -- Proof -- Discovery of [√]2 -- Practical uses -- Pattern -- Fermat's Last Theorem -- Epilogue -- Explorations -- 2.Prime numbers: The DNA of mathematics -- Prologue -- The infinity of primes -- The Fundamental Theorem of Arithmetic -- Searching for the primes -- The Riemann Hypothesis -- Epilogue -- Explorations -- 3.Zero: Place-holder and peculiar number -- Prologue -- Negative numbers -- Analytic geometry -- Division by zero -- The zero exponent -- Binary digits -- Epilogue -- Explorations -- 4.π (Pi): A ubiquitous and strange number -- Prologue -- Value -- Transcendental numbers -- Manifestations -- Epilogue -- Explorations -- 5.Exponents: Notation and discovery -- Prologue -- Exponential notation -- Exponential arithmetic -- Pascal's Triangle -- Logarithms -- Epilogue -- Explorations -- 6.e: A very special number -- Prologue -- Mathematical connectivity -- Euler's identity -- Epilogue -- Explorations -- 7.i: Imaginary numbers -- Prologue -- Quadratic equations -- Complex numbers -- Fundamental Theorem of Algebra -- Epilogue -- Explorations -- 8.Infinity: A counterintuitive and paradoxical idea -- Prologue -- Zeno's paradoxes -- The Liar Paradox -- Galileo's and Cantor's paradoxes -- Hilbert's infinite hotel paradox -- Epilogue -- Explorations -- 9.Decidability: The foundations of mathematics -- Prologue -- Consistency -- Axiomatic structure -- Undecidability -- Epilogue -- Explorations -- 10.The algorithm: Mathematics and computers -- Prologue -- Algorithms -- Computability -- Epilogue -- Explorations.
Summary
In this text, Marcel Danesi presents a historical overview of the ten greatest achievements in mathematics, and dynamically explores their importance and effects on our daily lives.
Subject(s)
ISBN
9780191886959 (ebook)
Audience Notes
Specialized.
Note
This edition also issued in print: 2020.
Bibliography Note
Includes bibliographical references and index.
View MARC record | catkey: 29992282