Numbers and the World

Essays on Math and Beyond

AvDavid Mumford

Häftad, Engelska, 2023

Del i serien Miscellaneous Book Series

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Beskrivning

This book is a collection of essays written by a distinguished mathematician with a very long and successful career as a researcher and educator working in many areas of pure and applied mathematics. The author writes about everything he found exciting about math, its history, and its connections with art, and about how to explain it when so many smart people (and children) are turned off by it. The three longest essays touch upon the foundations of mathematics, upon quantum mechanics and Schrodinger's cat phenomena, and upon whether robots will ever have consciousness. Each of these essays includes some unpublished material. The author also touches upon his involvement with and feelings about issues in the larger world. The author's main goal when preparing the book was to convey how much he loves math and its sister fields.

Produktinformation

Utgivningsdatum:2023-11-30
Mått:178 x 254 x 16 mm
Vikt:272 g
Format:Häftad
Språk:Engelska
Serie:Miscellaneous Book Series
Antal sidor:241
Förlag:American Mathematical Society
ISBN:9781470470517

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Mer om författaren

David Mumford, Brown University, Providence, RI, and Harvard University, Cambridge, MA.

Innehållsförteckning

Opening more eyes to mathematics: How to get middle school students to love formulas & trianglesExplaining Grothendieck to non-mathematiciansAre mathematical formulas beautiful?The history of mathematics: Pythagoras's ruleThe checkered history of algebraMulti-culutural math history in five slides""Modern"" art/""modern"" math and the ZeitgeistInterlude: Intelligent design in Orion?AI, neuroscience, and consciousness: Parse trees are ubiquitous in thinkingLinking deep learning and cortical functionsDoes/can human consciousness exist in animals and robots?And now, some bits of real math: Finding the rhythms of the primesSpaces of shapes and rogue wavesAn applied mathematician's foundations of mathComing to terms with the quantum: Quantum theory and the mysterious collapsePath integrals and quantum computingNothing is simple in the real world: Wake up!One world or many?Spinoza: Euclid, ethics, timeThoughts on the futureAuthor's bibliographyBibliography