Details

Mathematicians Don't Work With Numbers


Mathematicians Don't Work With Numbers



von: Richard Poulo

32,09 €

Verlag: Birkhäuser
Format: PDF
Veröffentl.: 11.06.2024
ISBN/EAN: 9783031589164
Sprache: englisch

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Beschreibungen

<p>This book answers, in the form of short and entertaining vignettes, the question: "What do mathematicians really do?" Readers will learn that mathematicians use numbers in the same way that novelists use letters. The individual letters are typed while the author thinks on a much grander scale, invisible to the observer.</p>

<p>Requiring only familiarity with the multiplication table (and that for only one vignette), the book makes accessible a variety of mathematical concepts, such as game theory, chaos, and traffic flow modelling. The author accomplishes this with a light, engaging style, and a range of real-world examples that includes everything from barbershops to President James Garfield.</p>

<p><em>Mathematicians Don't Work With Numbers</em> will be of interest to the large audience of people who have always assumed that mathematicians do, in fact, work with numbers.</p>

<p>&nbsp;</p>
<p>Introduction.- A Citizen’s Dilemma.- The Structure of Mathematics.- A Danger Scale.- Public Key Encryption I.- Public Key Encryption II.- Fractals.- Graphs.- Military Math.- Statistics – A Rant.- Estimation.- Ramanujan.- Hardy.- It’s Obvious.- Chaos.- Recognition.- Map Coloring.- Groups.- Topology I.- Topology II.- Non-existence Proofs.- Existence Proofs.- Can’t Be Computed.- Can’t Be Proved.- Games.- The Greatest Three.- Sets.- Infinity.- The Largest Hotel Ever.- Tied Up in Knots.- Probably.- Rush Hour Traffic.- Fermat and His Last Theorem.- A Million Bucks.- Russia vs. America.- Cardano, Viète and Notation.- President James Garfield.- Error-Correcting Codes.- Mercator Maps.- Ball and Saddle &nbsp;Geometries.- The Spherical Earth.- Consistency.- Can Be Proved.- Cycloids.- C******* of Variations.- Amazing Waves.- How to Push a Pendulum.- Surprising Theorems.- Mathematical Aesthetics.- Katherine Johnson’s Math.- My Career as a Mathematician.- Afterword.- Further Reading.- Movies About Real Mathematicians.</p>
<p><b>Richard Poulo</b> considers himself a mathematician first and foremost, though his PhD is in Computer Science from Rutgers University, after receiving a degree in mathematics from Cornell. Poulo spent his career in industry, developing mathematical and engineering software.</p>
<p>This book answers, in the form of short and entertaining vignettes, the question: "What do mathematicians really do?" Readers will learn that mathematicians use numbers in the same way that novelists use letters. The individual letters are typed while the author thinks on a much grander scale, invisible to the observer.</p>

<p>Requiring only familiarity with the multiplication table (and that for only one vignette), the book makes accessible a variety of mathematical concepts, such as game theory, chaos, and, as the author puts it, the c******* of variations. The author accomplishes this with a light, engaging style, and a range of real-world examples that includes everything from barbershops to President James Garfield.</p>

<p><em>Mathematicians Don't Work With Numbers</em>&nbsp;will be of interest to the large audience of people who have always assumed that mathematicians do, in fact, work with numbers.</p>
Explores what mathematics is really about in the form of short and entertaining vignettes Covers a broad range of mathematical topics with a light and often humorous style Illustrates concepts using real-world examples, ranging from barbershops to President James Garfield

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