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Mathematicians Don't Work With Numbers

Autor Richard Poulo
en Limba Engleză Paperback – 12 iun 2024
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.
 
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Specificații

ISBN-13: 9783031589157
ISBN-10: 3031589157
Ilustrații: XV, 195 p. 77 illus., 1 illus. in color.
Dimensiuni: 127 x 203 mm
Ediția:2024
Editura: Springer Nature Switzerland
Colecția Birkhäuser
Locul publicării:Cham, Switzerland

Cuprins

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.

Notă biografică

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.

Textul de pe ultima copertă

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, 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.
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.

Caracteristici

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