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Download or read book Realm of Numbers written by Isaac Asimov and published by . This book was released on 1981 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author: Menny Aka
Publisher: Springer Nature
Published: 2020-10-03
Total Pages: 344
ISBN-13: 3030552330
DOWNLOAD EBOOKThis 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.
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
Published: 2022-07-26
Total Pages: 211
ISBN-13: 0374600570
DOWNLOAD EBOOKA 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.
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: Charles Stanley Ogilvy
Publisher: Courier Corporation
Published: 1988-01-01
Total Pages: 196
ISBN-13: 9780486257785
DOWNLOAD EBOOKChallenging, accessible mathematical adventures involving prime numbers, number patterns, irrationals and iterations, calculating prodigies, and more. No special training is needed, just high school mathematics and an inquisitive mind. "A splendidly written, well selected and presented collection. I recommend the book unreservedly to all readers." — Martin Gardner.
Download or read book Excursions in Number Theory written by Charles Stanley Ogilvy and published by Courier Corporation. This book was released on 1988-01-01 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Challenging, accessible mathematical adventures involving prime numbers, number patterns, irrationals and iterations, calculating prodigies, and more. No special training is needed, just high school mathematics and an inquisitive mind. "A splendidly written, well selected and presented collection. I recommend the book unreservedly to all readers." — Martin Gardner.
Author: Barbara A. Oakley
Publisher: TarcherPerigee
Published: 2014-07-31
Total Pages: 338
ISBN-13: 039916524X
DOWNLOAD EBOOKEngineering 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.
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: Isaac Asimov
Publisher: Fawcett Books
Published: 1981
Total Pages: 144
ISBN-13: 9780449243992
DOWNLOAD EBOOKBasic concepts about numbers from zero to infinity are introduced and explained.
Download or read book Realm of Numbers written by Isaac Asimov and published by Fawcett Books. This book was released on 1981 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic concepts about numbers from zero to infinity are introduced and explained.
Author: Gabor Maté, MD
Publisher: North Atlantic Books
Published: 2011-06-28
Total Pages: 522
ISBN-13: 1583944206
DOWNLOAD EBOOKA “thought-provoking and powerful” study that reframes everything you’ve been taught about addiction and recovery—from the New York Times–bestselling author of The Myth of Normal (Bruce Perry, author of The Boy Who Was Raised as a Dog). A world-renowned trauma expert combines real-life stories with cutting-edge research to offer a holistic approach to understanding addiction—its origins, its place in society, and the importance of self-compassion in recovery. Based on Gabor Maté’s two decades of experience as a medical doctor and his groundbreaking work with people with addiction on Vancouver’s skid row, this #1 international bestseller radically re-envisions a much misunderstood condition by taking a compassionate approach to substance abuse and addiction recovery. In the same vein as Bessel van der Kolk’s The Body Keeps the Score, In the Realm of Hungry Ghosts traces the root causes of addiction to childhood trauma and examines the pervasiveness of addiction in society. Dr. Maté presents addiction not as a discrete phenomenon confined to an unfortunate or weak-willed few, but as a continuum that runs throughout—and perhaps underpins—our society. It is not a medical “condition” distinct from the lives it affects but rather the result of a complex interplay among personal history, emotional and neurological development, brain chemistry, and the drugs and behaviors of addiction. Simplifying a wide array of brain and addiction research findings from around the globe, the book avoids glib self-help remedies, instead promoting a thorough and compassionate self-understanding as the first key to healing and wellness. Dr. Maté argues persuasively against contemporary health, social, and criminal justice policies toward addiction and how they perpetuate the War on Drugs. The mix of personal stories—including the author’s candid discussion of his own “high-status” addictive tendencies—and science with positive solutions makes the book equally useful for lay readers and professionals.
Download or read book In the Realm of Hungry Ghosts written by Gabor Maté, MD and published by North Atlantic Books. This book was released on 2011-06-28 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: A “thought-provoking and powerful” study that reframes everything you’ve been taught about addiction and recovery—from the New York Times–bestselling author of The Myth of Normal (Bruce Perry, author of The Boy Who Was Raised as a Dog). A world-renowned trauma expert combines real-life stories with cutting-edge research to offer a holistic approach to understanding addiction—its origins, its place in society, and the importance of self-compassion in recovery. Based on Gabor Maté’s two decades of experience as a medical doctor and his groundbreaking work with people with addiction on Vancouver’s skid row, this #1 international bestseller radically re-envisions a much misunderstood condition by taking a compassionate approach to substance abuse and addiction recovery. In the same vein as Bessel van der Kolk’s The Body Keeps the Score, In the Realm of Hungry Ghosts traces the root causes of addiction to childhood trauma and examines the pervasiveness of addiction in society. Dr. Maté presents addiction not as a discrete phenomenon confined to an unfortunate or weak-willed few, but as a continuum that runs throughout—and perhaps underpins—our society. It is not a medical “condition” distinct from the lives it affects but rather the result of a complex interplay among personal history, emotional and neurological development, brain chemistry, and the drugs and behaviors of addiction. Simplifying a wide array of brain and addiction research findings from around the globe, the book avoids glib self-help remedies, instead promoting a thorough and compassionate self-understanding as the first key to healing and wellness. Dr. Maté argues persuasively against contemporary health, social, and criminal justice policies toward addiction and how they perpetuate the War on Drugs. The mix of personal stories—including the author’s candid discussion of his own “high-status” addictive tendencies—and science with positive solutions makes the book equally useful for lay readers and professionals.
Author: John Allen Paulos
Publisher: Vintage
Published: 2013-05-29
Total Pages: 306
ISBN-13: 030783333X
DOWNLOAD EBOOKFrom the author of the national bestseller Innumeracy, a delightful exploration and explanation of mathematical concepts from algebra to zero in easily accessible alphabetical entries. "Paulos . . . does for mathematics what The Joy of Sex did for the boudoir. . . ."--Washington Post Book World. First time in paperback.
Download or read book Beyond Numeracy written by John Allen Paulos and published by Vintage. This book was released on 2013-05-29 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the author of the national bestseller Innumeracy, a delightful exploration and explanation of mathematical concepts from algebra to zero in easily accessible alphabetical entries. "Paulos . . . does for mathematics what The Joy of Sex did for the boudoir. . . ."--Washington Post Book World. First time in paperback.
Author: Tom Siegfried
Publisher: Harvard University Press
Published: 2019-09-17
Total Pages: 353
ISBN-13: 067497588X
DOWNLOAD EBOOKOne of the most controversial, cutting-edge ideas in cosmology—the possibility that there exist multiple parallel universes—in fact has a long history. Tom Siegfried reminds us that the size and number of the heavens have been contested since ancient times. His story offers deep lessons about the nature of science and the quest for understanding.
Download or read book The Number of the Heavens written by Tom Siegfried and published by Harvard University Press. This book was released on 2019-09-17 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most controversial, cutting-edge ideas in cosmology—the possibility that there exist multiple parallel universes—in fact has a long history. Tom Siegfried reminds us that the size and number of the heavens have been contested since ancient times. His story offers deep lessons about the nature of science and the quest for understanding.
Author: George E. Andrews
Publisher: Courier Corporation
Published: 2012-04-30
Total Pages: 292
ISBN-13: 0486135101
DOWNLOAD EBOOKUndergraduate text uses combinatorial approach to accommodate both math majors and liberal arts students. Covers the basics of number theory, offers an outstanding introduction to partitions, plus chapters on multiplicativity-divisibility, quadratic congruences, additivity, and more.
Download or read book Number Theory written by George E. Andrews and published by Courier Corporation. This book was released on 2012-04-30 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Undergraduate text uses combinatorial approach to accommodate both math majors and liberal arts students. Covers the basics of number theory, offers an outstanding introduction to partitions, plus chapters on multiplicativity-divisibility, quadratic congruences, additivity, and more.
