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E-grāmata: Mathematicians Don't Work With Numbers

  • Formāts: EPUB+DRM
  • Izdošanas datums: 11-Jun-2024
  • Izdevniecība: Birkhauser Verlag AG
  • Valoda: eng
  • ISBN-13: 9783031589164
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  • Cena: 29,73 €*
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  • Formāts: EPUB+DRM
  • Izdošanas datums: 11-Jun-2024
  • Izdevniecība: Birkhauser Verlag AG
  • Valoda: eng
  • ISBN-13: 9783031589164
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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.





 

Recenzijas

The book Mathematicians dont work with numbers is an agile and engaging introduction to different branches of mathematics, from public key encryption to chaotic models, from proof techniques to aesthetics in mathematics. ... Each chapter is a little piece added to the realitys understanding. The non-expert reader can enjoy jargon-free chapters, while the more expert reader can appreciate the way to present the topics, along with their precision." (Maria Mannone, zbMATH 1553.00001, 2025)

Introduction.- A Citizens 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.- Its Obvious.- Chaos.- Recognition.- Map Coloring.-
Groups.- Topology I.- Topology II.- Non-existence Proofs.- Existence Proofs.-
Cant Be Computed.- Cant 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, Vičte 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 Johnsons Math.- My Career as a
Mathematician.- Afterword.- Further Reading.- Movies About Real
Mathematicians.
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.