Those Fascinating Numbers

Who would have thought that listing the positive integers along with their most remarkable properties could end up being such an engaging and stimulating adventure? The author uses this approach to explore elementary and advanced topics in classical number theory. A large variety of numbers are contemplated: Fermat numbers, Mersenne primes, powerful numbers, sublime numbers, Wieferich primes, insolite numbers, Sastry numbers, voracious numbers, to name only a few. The author also presents short proofs of miscellaneous results and constantly challenges the reader with a variety of old and new number theory conjectures. This book becomes a platform for exploring new concepts such as the index of composition and the index of isolation of an integer. In addition, the book displays several tables of particular families of numbers, including the list of all 88 narcissistic numbers and the list of the eight known numbers which are not prime powers but which can be written as the sum of the cubes of their prime factors, and in each case with the algorithm used to create them.

Provides information on numbers and what makes particular ones noteworthy

Almost a thousand years ago, an Indian scholar called Hemachandra discovered a fascinating number sequence. A century later, the same sequence caught the attention of Italian mathematician Fibonacci, who wrote about it.The Fibonacci sequence, as it began to be called, was straightforward enough - what made it fascinating was that this particular set of numbers was repeated many, many times in nature - in flowers, seashells, eggs, seeds, stars..Find out more inside this book!

The history, formulas, and most famous puzzles of graph theory Graph theory goes back several centuries and revolves around the study of graphs—mathematical structures showing relations between objects. With applications in biology, computer science, transportation science, and other areas, graph theory encompasses some of the most beautiful formulas in mathematics—and some of its most famous problems. The Fascinating World of Graph Theory explores the questions and puzzles that have been studied, and often solved, through graph theory. This book looks at graph theory's development and the vibrant individuals responsible for the field's growth. Introducing fundamental concepts, the authors explore a diverse plethora of classic problems such as the Lights Out Puzzle, and each chapter contains math exercises for readers to savor. An eye-opening journey into the world of graphs, The Fascinating World of Graph Theory offers exciting problem-solving possibilities for mathematics and beyond.

Have you ever thought about your own surname? Wondered about the stories behind them, especially if they are unusual? This Amazon NUMBER 1 BESTSELLING BOOK (Genealogy) tells the engaging story of when our surnames first came into use, why they were necessary and how people acquired them. After spending decades writing and researching the history of names, William Lewis presents in ‘What’s in your Surname?’ a journey through the quite diverse origins of English surnames citing hundreds of examples along the way. On this engaging journey you will discover the origin of last names, from disparaging nicknames to saints’ names and how history has shaped the creation of and evolution of surnames. There have been many books with surnames as their theme: dictionaries of surnames, books about unusual surnames, heraldry, researching family history and so forth, but very few look at British history solely through surnames. From Baker, Barratt and Bell through to Belcher, Blanchflower and Bugg, William Lewis covers the history of commonplace and exotic surnames in equal measure. A joy to read whether cover-to-cover or dipped into as a treasury of sources, ‘What’s in your Surname?’ offers an engaging, vivid and revealing historical portrait of English surnames - and the unique and diverse places from whence they came. Read 'What’s in your Surname?' today to discover the fascinating origins of hundreds of English surnames

"...the great feature of the book is that anyone can read it without excessive head scratching...You'll find plenty here to keep you occupied, amused, and informed. Buy, dip in, wallow." -IAN STEWART, NEW SCIENTIST "...a delightful look at numbers and their roles in everything from language to flowers to the imagination." -SCIENCE NEWS "...a fun and fascinating tour of numerical topics and concepts. It will have readers contemplating ideas they might never have thought were understandable or even possible." -WISCONSIN BOOKWATCH "This popularization of number theory looks like another classic." -LIBRARY JOURNAL

A fun, dazzling exploration of the strange numbers that illuminate the ultimate nature of reality. For particularly brilliant theoretical physicists like James Clerk Maxwell, Paul Dirac, or Albert Einstein, the search for mathematical truths led to strange new understandings of the ultimate nature of reality. But what are these truths? What are the mysterious numbers that explain the universe? In Fantastic Numbers and Where to Find Them, the leading theoretical physicist and YouTube star Antonio Padilla takes us on an irreverent cosmic tour of nine of the most extraordinary numbers in physics, offering a startling picture of how the universe works. These strange numbers include Graham’s number, which is so large that if you thought about it in the wrong way, your head would collapse into a singularity; TREE(3), whose finite nature can never be definitively proved, because to do so would take so much time that the universe would experience a Poincaré Recurrence—resetting to precisely the state it currently holds, down to the arrangement of individual atoms; and 10^{-120}, measuring the desperately unlikely balance of energy needed to allow the universe to exist for more than just a moment, to extend beyond the size of a single atom—in other words, the mystery of our unexpected universe. Leading us down the rabbit hole to a deeper understanding of reality, Padilla explains how these unusual numbers are the key to understanding such mind-boggling phenomena as black holes, relativity, and the problem of the cosmological constant—that the two best and most rigorously tested ways of understanding the universe contradict one another. Fantastic Numbers and Where to Find Them is a combination of popular and cutting-edge science—and a lively, entertaining, and even funny exploration of the most fundamental truths about the universe.

Albert Einstein was a great scientist and a seasoned philosopher with keen insight into the world around us. This book is a biography of Albert Einstein with a strong emphasis on his philosophy and theories. Einstein's Theory of Relativity is a masterpiece of science that greatly increases our understanding of the universe and profoundly influences our world. The goal of this book it to help to understand Einstein's theory as well as his philosophy.

"Armand Jean du Plessis, cardinal-duc de Richelieu et de Fronsac; 9 September 1585 4 December 1642) was a French clergyman, noble and statesman. Consecrated as a bishop in 1608, he later entered politics, becoming a Secretary of State in 1616. Richelieu soon rose in both the Catholic Church and the French government, becoming a Cardinal in 1622, and King Louis XIII's chief minister in 1624. He remained in office until his death in 1642; he was succeeded by Cardinal Mazarin, whose career he had fostered."--Wikipedia

The author takes the general reader on a tour of the mathematical puzzles and paradoxes inherent in voting systems, such as the Alabama Paradox, in which an increase in the number of seats in the Congress could actually lead to a reduced number of representatives for a state, and the Condorcet Paradox, which demonstrates that the winner of elections featuring more than two candidates does not necessarily reflect majority preferences. Szpiro takes a roughly chronological approach to the topic, traveling from ancient Greece to the present and, in addition to offering explanations of the various mathematical conundrums of elections and voting, also offers biographical details on the mathematicians and other thinkers who thought about them, including Plato, Pliny the Younger, Pierre Simon Laplace, Thomas Jefferson, John von Neumann, and Kenneth Arrow.