Mathematicians Don't Work With Numbers

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Sprache: Englisch

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Beschreibung

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.

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.

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

Über den Autor

Richard Poulo 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.

Inhaltsverzeichnis

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 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.

Erscheinungsjahr:	2024
Fachbereich:	Allgemeines
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Thema:	Lexika
Medium:	Taschenbuch
Inhalt:	xv 195 S. 76 s/w Illustr. 1 farbige Illustr. 195 p. 77 illus. 1 illus. in color.
ISBN-13:	9783031589157
ISBN-10:	3031589157
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Poulo, Richard
Hersteller:	Springer Nature Switzerland Springer International Publishing
Verantwortliche Person für die EU:	Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße:	203 x 127 x 12 mm
Von/Mit:	Richard Poulo
Erscheinungsdatum:	12.06.2024
Gewicht:	0,233 kg