Lyt når som helst, hvor som helst

Nyd den ubegrænsede adgang til tusindvis af spændende e- og lydbøger - helt gratis

  • Lyt og læs så meget du har lyst til
  • Opdag et kæmpe bibliotek fyldt med fortællinger
  • Eksklusive titler + Mofibo Originals
  • Opsig når som helst
Start tilbuddet
DK - Details page - Device banner - 894x1036

An Introduction to Benford's Law

Sprog
Engelsk
Format
Kategori

Fakta

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 (E-bog): 9781400866588

Release date

E-bog: 26. maj 2015

Andre kan også lide...

  1. Benford's Law: Theory and Applications Steven J. Miller
  2. X and the City: Modeling Aspects of Urban Life John Adam
  3. Approximating Perfection: A Mathematician's Journey into the World of Mechanics Leonid P. Lebedev
  4. Maths on the Back of an Envelope: Clever ways to (roughly) calculate anything Rob Eastaway
  5. Mathematics: A Very Short Introduction Timothy Gowers
  6. The Fourth Age: Smart Robots, Conscious Computers, and the Future of Humanity Byron Reese
  7. Picturing the Uncertain World: How to Understand, Communicate, and Control Uncertainty through Graphical Display Howard Wainer
  8. Calculating the Cosmos: How Mathematics Unveils the Universe Ian Stewart
  9. Will You Be Alive 10 Years from Now?: And Numerous Other Curious Questions in Probability Paul J. Nahin
  10. Single Digits: In Praise of Small Numbers Marc Chamberland
  11. Standard Deviations: Flawed Assumptions, Tortured Data, and Other Ways to Lie with Statistics Gary Smith
  12. The Crest of the Peacock: Non-European Roots of Mathematics – Third Edition: Non-European Roots of Mathematics - Third Edition George Gheverghese Joseph
  13. Nonplussed!: Mathematical Proof of Implausible Ideas Julian Havil
  14. Particle or Wave: The Evolution of the Concept of Matter in Modern Physics Charis Anastopoulos
  15. The Grand Contraption: The World as Myth, Number, and Chance David Park
  16. Infinite Powers: How Calculus Reveals the Secrets of the Universe Steven Strogatz
  17. The Rise of Statistical Thinking, 1820–1900 Theodore M. Porter
  18. Math Bytes: Google Bombs, Chocolate-Covered Pi, and Other Cool Bits in Computing Tim P. Chartier
  19. The Best Writing on Mathematics 2010 Mircea Pitici
  20. The Secret Formula: How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation Fabio Toscano
  21. Benjamin Franklin's Numbers: An Unsung Mathematical Odyssey Paul C. Pasles
  22. Mathematics without Apologies: Portrait of a Problematic Vocation Michael Harris
  23. Strange Curves, Counting Rabbits, & Other Mathematical Explorations Keith Ball
  24. Trust in Numbers: The Pursuit of Objectivity in Science and Public Life Theodore M. Porter
  25. Topics in Mathematical Modeling Ka-Kit Tung
  26. The Fascinating World of Graph Theory Gary Chartrand
  27. Towing Icebergs, Falling Dominoes, and Other Adventures in Applied Mathematics Robert B. Banks
  28. The End of Theory: Financial Crises, the Failure of Economics, and the Sweep of Human Interaction Richard Bookstaber
  29. A First Course in Scientific Computing: Symbolic, Graphic, and Numeric Modeling Using Maple, Java, Mathematica, and Fortran90 Rubin Landau

Vælg dit abonnement

  • Over 600.000 titler

  • Download og nyd titler offline

  • Eksklusive titler + Mofibo Originals

  • Børnevenligt miljø (Kids Mode)

  • Det er nemt at opsige når som helst

Flex

For dig som vil prøve Mofibo.

89 kr. /måned
  • 1 konto

  • 20 timer/måned

  • Gem op til 100 ubrugte timer

  • Eksklusivt indhold hver uge

  • Fri lytning til podcasts

  • Ingen binding

Prøv gratis
Den mest populære

Premium

For dig som lytter og læser ofte.

129 kr. /måned
  • 1 konto

  • 100 timer/måned

  • Eksklusivt indhold hver uge

  • Fri lytning til podcasts

  • Ingen binding

Start tilbuddet

Unlimited

For dig som lytter og læser ubegrænset.

149 kr. /måned
  • 1 konto

  • Ubegrænset adgang

  • Eksklusivt indhold hver uge

  • Fri lytning til podcasts

  • Ingen binding

Start tilbuddet

Family

For dig som ønsker at dele historier med familien.

Fra 179 kr. /måned
  • 2-6 konti

  • 100 timer/måned pr. konto

  • Fri lytning til podcasts

  • Kun 39 kr. pr. ekstra konto

  • Ingen binding

2 konti

179 kr. /måned
Prøv gratis