Mathematical Mysteries in the Natural World: Why the Small Outnumbers the Big

Mathematical Mysteries in the Natural World: Why the Small Outnumbers the Big

Mathematical Mysteries in the Natural World: Why the Small Outnumbers the Big

Author: Alex Ely Kossovsky (Author)

Publisher finelybook 出版社: World Scientific Publishing Company

Publication date 出版日期: 2025-09-28

Language 语言: English

Print length 页数: 392 pages

ISBN-10: 9819803012

ISBN-13: 9789819803019

Book Description

Why are there more poor people with small bank accounts than rich people with big bank accounts? Why are there more small planets and stars than big ones in the cosmos? And why are there more small rivers than big rivers, and more harmless tremors than devastating earthquakes? Empirical examinations of real-life data overwhelmingly confirm the existence of such uneven size proportions in favor of the small, leaving us only the question: Why?

This law of nature carries through a vast list of topics and disciplines, confirming it to be nearly universal. In the biological world there are only approximately two million whales and over three hundred billion birds; in number theory there are more small prime numbers than there are big ones; in census data there are more villages than towns, more towns than cities, and more cities than metropolises; in history there have been more minor conflicts than great wars.

In a landmark, first-ever study on the distribution of relative sizes, this book discusses several real-life case studies such as those above in extensive detail, and presents three distinct explanations for the phenomenon. Readers of all disciplines and levels of expertise will find an easily accessible yet original exploration that concludes with a numerical quantification demonstrating precisely by how much the relatively small is more numerous than the relatively big.

About the Author

Alex Ely Kossovsky is an independent scholar and the author of the books Benford's Law: Theory, the General Law of Relative Quantities, and Forensic Fraud Detection Applications, , 2014; Small is Beautiful: Why the Small is Numerous but the Big is Rare in the World, Kindle Direct Publishing, 2017; Studies in Benford's Law: Arithmetical Tugs of War, Quantitative Partition Models, Prime Numbers, Exponential Growth Series, and Data Forensics, Kindle Direct Publishing, 2019; The Birth of Science, regarding Kepler's Celestial Data Analysis, Galileo's Terrestrial Experiments, and Newton's Grand Synthesis, Nature Publishing, 2020; and A Comprehensive Summary of the Benford's Law Phenomenon: On the Unequal Spread of Digits within Scientific and Typical Data, , 2025. Kossovsky is the inventor of a patented mathematical algorithm for data fraud detection analysis, registered with the US Patent Office. The author specialized in applied mathematics and statistics at the City University of New York and in physics and pure mathematics at the State University of New York at Stony Brook.

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