The Essence Of Numbers
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Author | : Frédéric Patras |
Publisher | : Springer Nature |
Total Pages | : 180 |
Release | : 2020-10-06 |
Genre | : Mathematics |
ISBN | : 3030567001 |
This book considers the manifold possible approaches, past and present, to our understanding of the natural numbers. They are treated as epistemic objects: mathematical objects that have been subject to epistemological inquiry and attention throughout their history and whose conception has evolved accordingly. Although they are the simplest and most common mathematical objects, as this book reveals, they have a very complex nature whose study illuminates subtle features of the functioning of our thought. Using jointly history, mathematics and philosophy to grasp the essence of numbers, the reader is led through their various interpretations, presenting the ways they have been involved in major theoretical projects from Thales onward. Some pertain primarily to philosophy (as in the works of Plato, Aristotle, Kant, Wittgenstein...), others to general mathematics (Euclid's Elements, Cartesian algebraic geometry, Cantorian infinities, set theory...). Also serving as an introduction to the works and thought of major mathematicians and philosophers, from Plato and Aristotle to Cantor, Dedekind, Frege, Husserl and Weyl, this book will be of interest to a wide variety of readers, from scholars with a general interest in the philosophy or mathematics to philosophers and mathematicians themselves.
Author | : Clifford A. Pickover |
Publisher | : Oxford University Press |
Total Pages | : 420 |
Release | : 2003-01-16 |
Genre | : Mathematics |
ISBN | : 9780195348002 |
Who were the five strangest mathematicians in history? What are the ten most interesting numbers? Jam-packed with thought-provoking mathematical mysteries, puzzles, and games, Wonders of Numbers will enchant even the most left-brained of readers. Hosted by the quirky Dr. Googol--who resides on a remote island and occasionally collaborates with Clifford Pickover--Wonders of Numbers focuses on creativity and the delight of discovery. Here is a potpourri of common and unusual number theory problems of varying difficulty--each presented in brief chapters that convey to readers the essence of the problem rather than its extraneous history. Peppered throughout with illustrations that clarify the problems, Wonders of Numbers also includes fascinating "math gossip." How would we use numbers to communicate with aliens? Check out Chapter 30. Did you know that there is a Numerical Obsessive-Compulsive Disorder? You'll find it in Chapter 45. From the beautiful formula of India's most famous mathematician to the Leviathan number so big it makes a trillion look small, Dr. Googol's witty and straightforward approach to numbers will entice students, educators, and scientists alike to pick up a pencil and work a problem.
Author | : A. E. Abbott |
Publisher | : Literary Licensing, LLC |
Total Pages | : 522 |
Release | : 2014-03 |
Genre | : |
ISBN | : 9781498106818 |
This Is A New Release Of The Original 1910 Edition.
Author | : by P Khurrana Write |
Publisher | : |
Total Pages | : 187 |
Release | : 2008 |
Genre | : Numerology |
ISBN | : 9788129113207 |
Numerology has rationally been used to determine one's nature and direction of life. The author underlines that each number represents a different character: the capacity for love, intelligence, work, emotions and expressions. The numbers can affect the way one thinks and behaves when one is in association with persons of different numbers. It can also provide you with fascinating about the complete characteristics of others.
Author | : Neville Dean |
Publisher | : |
Total Pages | : 212 |
Release | : 1997 |
Genre | : Computers |
ISBN | : 9780133459432 |
Presenting a gentle introduction to all the basics of discrete mathematics, this book introduces sets, propositional logic, predicate logic, and mathematical models. It discusses relations, including homogeneous relations.
Author | : Talal Ghannam |
Publisher | : Talal Ghannam |
Total Pages | : 319 |
Release | : 2012-07-04 |
Genre | : Science |
ISBN | : 1477678417 |
What is it that brings all these different things together? The subatomic particles and the Vedic square. The hydrogen atom and the golden section. Fibonacci numbers, consciousness, and alchemy. Nikola Tesla, music, and the ether. Electromagnetism, gravity, and the fourth dimension. The procession of the equinox, the Mayan dooms day, the Hindu Brahma cycle, and Atlantis. It is Numbers, or more precisely; their Digital Root. In this book the author examines the amazing world of numbers, particularly those which have intrigued and fascinated ancient and modern mathematicians alike. However, he does it from a very novel point of view; by implementing the digital root operation, in which the individual digits of any of these numbers are summed up until a single digit is left over. The author will show that when applying this simple operation to magical numbers, and to many other groups of numbers, an amazing world of hidden interconnections; repetition cycles; numerical symmetries; and geometrical patterns emerge. Especially when the geometrical (the circle) and the numerical aspects of the digital root world are combined together. It is in this circular/numerical world where numbers, individually and collectively, exist in their most basic, yet perfect and symmetrical states, and where the basic nine numbers are differentiated into three groups of amazing properties, which will be shown to underlie the essence of the whole universe; from the atom and its forces to the solar system and its geometry. This book will take us on a numerical and spiritual journey: starting from prime and figurate numbers; to Fibonacci sequence and the golden section; to alchemy and the Mayan calendar; to the atoms and its forces, along with the ether and the fourth dimension. In addition, the author will show how these new revelations of the digital root world are corroborating the numerological and mystical qualities that have been attributed to numbers by philosophers and mystics throughout the ages. This book will paint a so holistic and meaningful image of the world that will forever change our perception, not only towards numbers, but towards the whole universe as well.
Author | : Alexandre Borovik |
Publisher | : |
Total Pages | : 398 |
Release | : 2019-06-11 |
Genre | : Mathematics |
ISBN | : 9781783746996 |
Author | : Theodore M. Porter |
Publisher | : Princeton University Press |
Total Pages | : 336 |
Release | : 2020-08-18 |
Genre | : Science |
ISBN | : 0691210543 |
A foundational work on historical and social studies of quantification What accounts for the prestige of quantitative methods? The usual answer is that quantification is desirable in social investigation as a result of its successes in science. Trust in Numbers questions whether such success in the study of stars, molecules, or cells should be an attractive model for research on human societies, and examines why the natural sciences are highly quantitative in the first place. Theodore Porter argues that a better understanding of the attractions of quantification in business, government, and social research brings a fresh perspective to its role in psychology, physics, and medicine. Quantitative rigor is not inherent in science but arises from political and social pressures, and objectivity derives its impetus from cultural contexts. In a new preface, the author sheds light on the current infatuation with quantitative methods, particularly at the intersection of science and bureaucracy.
Author | : Clifford A. Pickover |
Publisher | : Union Square + ORM |
Total Pages | : 937 |
Release | : 2011-09-27 |
Genre | : Mathematics |
ISBN | : 1402797494 |
The Neumann Prize–winning, illustrated exploration of mathematics—from its timeless mysteries to its history of mind-boggling discoveries. Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, The Math Book covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic is lavishly illustrated with colorful art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.
Author | : Steven Henry Strogatz |
Publisher | : Houghton Mifflin Harcourt |
Total Pages | : 333 |
Release | : 2012 |
Genre | : Mathematics |
ISBN | : 0547517653 |
A delightful tour of the greatest ideas of math, showing how math intersects with philosophy, science, art, business, current events, and everyday life, by an acclaimed science communicator and regular contributor to the "New York Times."