Escucha y lee

Descubre un mundo infinito de historias

  • Lee y escucha todo lo que quieras
  • Más de 900 000 títulos
  • Títulos exclusivos + Storytel Originals
  • 7 días de prueba gratis, luego $7.99 /mes
  • Cancela cuando quieras
Suscríbete ahora
Copy of Device Banner Block 894x1036 3

An Introduction to Benford's Law

Idioma
Inglés
Format
Categoría

No ficción

This book provides the first comprehensive treatment of Benford's law, the surprising logarithmic distribution of significant digits discovered in the late nineteenth century. Establishing the mathematical and statistical principles that underpin this intriguing phenomenon, the text combines up-to-date theoretical results with overviews of the law’s colorful history, rapidly growing body of empirical evidence, and wide range of applications.

An Introduction to Benford’s Law begins with basic facts about significant digits, Benford functions, sequences, and random variables, including tools from the theory of uniform distribution. After introducing the scale-, base-, and sum-invariance characterizations of the law, the book develops the significant-digit properties of both deterministic and stochastic processes, such as iterations of functions, powers of matrices, differential equations, and products, powers, and mixtures of random variables. Two concluding chapters survey the finitely additive theory and the flourishing applications of Benford’s law.

Carefully selected diagrams, tables, and close to 150 examples illuminate the main concepts throughout. The text includes many open problems, in addition to dozens of new basic theorems and all the main references. A distinguishing feature is the emphasis on the surprising ubiquity and robustness of the significant-digit law. This text can serve as both a primary reference and a basis for seminars and courses.

© 2015 Princeton University Press (eBook): 9781400866588

Fecha de lanzamiento

eBook: 26 de mayo de 2015

Otros también disfrutaron...

  1. Benford's Law: Theory and Applications Steven J. Miller
  2. Approximating Perfection: A Mathematician's Journey into the World of Mechanics Leonid P. Lebedev
  3. Maths on the Back of an Envelope: Clever ways to (roughly) calculate anything Rob Eastaway
  4. The Fourth Age: Smart Robots, Conscious Computers, and the Future of Humanity Byron Reese
  5. Mathematics for Human Flourishing Francis Su
  6. X and the City: Modeling Aspects of Urban Life John Adam
  7. Mathematics: A Very Short Introduction Timothy Gowers
  8. Will You Be Alive 10 Years from Now?: And Numerous Other Curious Questions in Probability Paul J. Nahin
  9. Picturing the Uncertain World: How to Understand, Communicate, and Control Uncertainty through Graphical Display Howard Wainer
  10. Calculating the Cosmos: How Mathematics Unveils the Universe Ian Stewart
  11. Single Digits: In Praise of Small Numbers Marc Chamberland
  12. Standard Deviations: Flawed Assumptions, Tortured Data, and Other Ways to Lie with Statistics Gary Smith
  13. The Crest of the Peacock: Non-European Roots of Mathematics – Third Edition: Non-European Roots of Mathematics - Third Edition George Gheverghese Joseph
  14. Particle or Wave: The Evolution of the Concept of Matter in Modern Physics Charis Anastopoulos
  15. Benjamin Franklin's Numbers: An Unsung Mathematical Odyssey Paul C. Pasles
  16. The Best Writing on Mathematics 2010 Mircea Pitici
  17. The Grand Contraption: The World as Myth, Number, and Chance David Park
  18. Mathematics without Apologies: Portrait of a Problematic Vocation Michael Harris
  19. Math Bytes: Google Bombs, Chocolate-Covered Pi, and Other Cool Bits in Computing Tim P. Chartier
  20. Trust in Numbers: The Pursuit of Objectivity in Science and Public Life Theodore M. Porter
  21. The Secret Formula: How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation Fabio Toscano
  22. Digital Dice: Computational Solutions to Practical Probability Problems Paul J. Nahin
  23. Chance in Biology: Using Probability to Explore Nature Mark Denny
  24. A First Course in Scientific Computing: Symbolic, Graphic, and Numeric Modeling Using Maple, Java, Mathematica, and Fortran90 Rubin Landau
  25. Topics in Mathematical Modeling Ka-Kit Tung
  26. Strange Curves, Counting Rabbits, & Other Mathematical Explorations Keith Ball
  27. Mechanics of the Solar System: An Introduction to Mathematical Astronomy J.A. Evans
  28. The Fascinating World of Graph Theory Gary Chartrand
  29. The End of Theory: Financial Crises, the Failure of Economics, and the Sweep of Human Interaction Richard Bookstaber

Siempre con Storytel:

  • Acceso ilimitado

  • Modo sin conexión

  • Modo Infantil

  • Cancela en cualquier momento

Historias ilimitadas siempre
Oferta por tiempo limitado

Ilimitado

Para los que quieren escuchar y leer sin límites.

$7.99 /mes
  • 1 cuenta

  • Acceso ilimitado

  • Escucha y lee los títulos que quieras

  • Modo sin conexión + Modo Infantil

  • Cancela en cualquier momento

Pruébalo ahora