A Journey Through The Realm Of Numbers

Author : Menny Aka
Publisher : Springer Nature
ISBN 13 : 3030552330
Total Pages : 344 pages
Book Rating : 4.36/5 ( download)

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Download or read book A Journey Through The Realm of Numbers written by Menny Aka and published by Springer Nature. This book was released on 2020-10-03 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes the reader on a journey from familiar high school mathematics to undergraduate algebra and number theory. The journey starts with the basic idea that new number systems arise from solving different equations, leading to (abstract) algebra. Along this journey, the reader will be exposed to important ideas of mathematics, and will learn a little about how mathematics is really done. Starting at an elementary level, the book gradually eases the reader into the complexities of higher mathematics; in particular, the formal structure of mathematical writing (definitions, theorems and proofs) is introduced in simple terms. The book covers a range of topics, from the very foundations (numbers, set theory) to basic abstract algebra (groups, rings, fields), driven throughout by the need to understand concrete equations and problems, such as determining which numbers are sums of squares. Some topics usually reserved for a more advanced audience, such as Eisenstein integers or quadratic reciprocity, are lucidly presented in an accessible way. The book also introduces the reader to open source software for computations, to enhance understanding of the material and nurture basic programming skills. For the more adventurous, a number of Outlooks included in the text offer a glimpse of possible mathematical excursions. This book supports readers in transition from high school to university mathematics, and will also benefit university students keen to explore the beginnings of algebraic number theory. It can be read either on its own or as a supporting text for first courses in algebra or number theory, and can also be used for a topics course on Diophantine equations.

Author : Antonio Padilla
Publisher : Farrar, Straus and Giroux
ISBN 13 : 0374600570
Total Pages : 211 pages
Book Rating : 4.70/5 ( download)

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Download or read book Fantastic Numbers and Where to Find Them written by Antonio Padilla and published by Farrar, Straus and Giroux. This book was released on 2022-07-26 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Menny Aka
Publisher :
ISBN 13 : 9788303055231
Total Pages : 0 pages
Book Rating : 4.32/5 ( download)

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Download or read book A Journey Through the Realm of Numbers written by Menny Aka and published by . This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes the reader on a journey from familiar high school mathematics to undergraduate algebra and number theory. The journey starts with the basic idea that new number systems arise from solving different equations, leading to (abstract) algebra. Along this journey, the reader will be exposed to important ideas of mathematics, and will learn a little about how mathematics is really done. Starting at an elementary level, the book gradually eases the reader into the complexities of higher mathematics; in particular, the formal structure of mathematical writing (definitions, theorems and proofs) is introduced in simple terms. The book covers a range of topics, from the very foundations (numbers, set theory) to basic abstract algebra (groups, rings, fields), driven throughout by the need to understand concrete equations and problems, such as determining which numbers are sums of squares. Some topics usually reserved for a more advanced audience, such as Eisenstein integers or quadratic reciprocity, are lucidly presented in an accessible way. The book also introduces the reader to open source software for computations, to enhance understanding of the material and nurture basic programming skills. For the more adventurous, a number of Outlooks included in the text offer a glimpse of possible mathematical excursions. This book supports readers in transition from high school to university mathematics, and will also benefit university students keen to explore the beginnings of algebraic number theory. It can be read either on its own or as a supporting text for first courses in algebra or number theory, and can also be used for a topics course on Diophantine equations.

Author : Fereydoon Milani-nejad, PhD
Publisher : Xlibris Corporation
ISBN 13 : 1514411008
Total Pages : 108 pages
Book Rating : 4.01/5 ( download)

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Download or read book A Journey Through the Realm of Theoretical Chemistry written by Fereydoon Milani-nejad, PhD and published by Xlibris Corporation. This book was released on 2015-11-24 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main goal of this book is to show how human behavior could be explained in terms of chemical laws. Chapter 1, “Overview,” is devoted to this task; subjects such as chemistry of mutual feelings, connection and its stability, love at first sight, fate and will, uplifting of the soul, dual personality, excited universe, and more are explained qualitatively on terms of chemical laws in this chapter. These concepts show that theoretical chemistry is readily and smoothly applicable to other disciplines, such as sociology, psychology, philosophy, social sciences, and even theology. As an example consider the following paragraph from chapter 3. There is a Beginning and there is an End. There exist an infinite number of pathways between the Beginning and the End. No matter what route one chooses, the End will be the same. Among the infinite number of pathways there is one pathway, called reversible pathway (Heavenly way) with maximum efficiency. There is another pathway for which the efficiency is zero (Hell way). All other pathways are combinations of these two extreme cases. The closer the chosen path is to the ideal path, the more rewarding the journey will be.

Author : Ben Orlin
Publisher : Black Dog & Leventhal
ISBN 13 : 0316509027
Total Pages : 556 pages
Book Rating : 4.22/5 ( download)

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Download or read book Math with Bad Drawings written by Ben Orlin and published by Black Dog & Leventhal. This book was released on 2018-09-18 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.

Author : Talal Ghannam
Publisher : Talal Ghannam
ISBN 13 : 1477678417
Total Pages : 319 pages
Book Rating : 4.11/5 ( download)

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Download or read book The Mystery of Numbers: Revealed Through Their Digital Root written by Talal Ghannam and published by Talal Ghannam. This book was released on 2012-07-04 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Eli Maor
Publisher : Princeton University Press
ISBN 13 : 1400832349
Total Pages : 242 pages
Book Rating : 4.47/5 ( download)

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Download or read book e: The Story of a Number written by Eli Maor and published by Princeton University Press. This book was released on 2011-10-12 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interest earned on a bank account, the arrangement of seeds in a sunflower, and the shape of the Gateway Arch in St. Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for a reader with only a modest mathematical background, this biography brings out the central importance of e to mathematics and illuminates a golden era in the age of science.

Author : Barbara A. Oakley
Publisher : TarcherPerigee
ISBN 13 : 039916524X
Total Pages : 338 pages
Book Rating : 4.45/5 ( download)

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Download or read book A Mind for Numbers written by Barbara A. Oakley and published by TarcherPerigee. This book was released on 2014-07-31 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. In her book, she offers you the tools needed to get a better grasp of that intimidating but inescapable field.

Author : Marie-Louise Von Franz
Publisher : Northwestern University Press
ISBN 13 : 9780810105324
Total Pages : 348 pages
Book Rating : 4.22/5 ( download)

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Download or read book Number and Time written by Marie-Louise Von Franz and published by Northwestern University Press. This book was released on 1974 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: C. G. Jung's work in his later years suggested that the seemingly divergent sciences of psychology and modern physics might, in fact, be approaching a unified world model in which the dualism of matter and psyche would be resolved. Jung believed that the natural integers are the archetypal patterns that regulate the unitary realm of psyche and matter, and that number serves as a special instrument for man's becoming conscious of this unity. Writen in a clear style and replete with illustrations which help make the mathematical ideas visible, Number and Time is a piece of original scholarship which introduces a view of how "mind" connects with "matter" at the most fundamental level.

Author : William Dunham
Publisher : Penguin Books
ISBN 13 :
Total Pages : 324 pages
Book Rating : 4.95/5 ( download)

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Download or read book Journey Through Genius written by William Dunham and published by Penguin Books. This book was released on 1991-08 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like masterpieces of art, music, and literature, great mathematical theorems are creative milestones, works of genius destined to last forever. Now William Dunham gives them the attention they deserve. Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics. A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity. “It is mathematics presented as a series of works of art; a fascinating lingering over individual examples of ingenuity and insight. It is mathematics by lightning flash.” —Isaac Asimov