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.
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.
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.
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.
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.
Download or read book An Adventurer s Guide to Number Theory written by Richard Friedberg and published by Courier Corporation. This book was released on 2012-07-06 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This witty introduction to number theory deals with the properties of numbers and numbers as abstract concepts. Topics include primes, divisibility, quadratic forms, and related theorems.
Download or read book Into the Realm of Numbers written by Elena Martin and published by . This book was released on 2019-05-13 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book, Into the Realm of Numbers emphasizes the revolutionary approach into human consciousness as based on Salvation Technologies, developed by the Russian phenomenon, Grigori Grabovoy. He asserts that by concentrating on specific numerical sequences, healing from disease occurs on vibratory level through synchronization and balance of body cells and systems. The book presents a historical perspective and spiritual meaning of numbers, discusses scientific data about holographic universe, and includes numerical sequences for curing different diseases and conditions. This book includes practical exercises for everyday of the month, numerical codes to work with past, present and future, as well as alternative methods of therapy, such as color and sound therapy. According to Grabovoy, "Healing from disease means return to norm. Through concentrating on numerical combinations, you provide a vibrational alignment of your body state toward your normal conditions which is health. As a result, disease is cured." Each number has a particular frequency and Grabovoy explains that a person can create and control events in a harmonious way by altering intention-based thoughts through concentration. His teachings are officially certified in the appropriate documents of the UNESCO. The most important part of his teachings is applicability to daily life.
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.
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.
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.
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.
Download or read book Realm of Measure written by Isaac Asimov and published by . This book was released on 1960 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: An investigation of units of measure.
Download or read book Where Mathematics Come From How The Embodied Mind Brings Mathematics Into Being written by George Lakoff and published by . This book was released on 2000-11-02 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: A study of the cognitive science of mathematical ideas.
Download or read book Markov s Theorem and 100 Years of the Uniqueness Conjecture written by Martin Aigner and published by Springer Science & Business Media. This book was released on 2013-07-18 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes the reader on a mathematical journey, from a number-theoretic point of view, to the realm of Markov’s theorem and the uniqueness conjecture, gradually unfolding many beautiful connections until everything falls into place in the proof of Markov’s theorem. What makes the Markov theme so attractive is that it appears in an astounding variety of different fields, from number theory to combinatorics, from classical groups and geometry to the world of graphs and words. On the way, there are also introductory forays into some fascinating topics that do not belong to the standard curriculum, such as Farey fractions, modular and free groups, hyperbolic planes, and algebraic words. The book closes with a discussion of the current state of knowledge about the uniqueness conjecture, which remains an open challenge to this day. All the material should be accessible to upper-level undergraduates with some background in number theory, and anything beyond this level is fully explained in the text. This is not a monograph in the usual sense concentrating on a specific topic. Instead, it narrates in five parts – Numbers, Trees, Groups, Words, Finale – the story of a discovery in one field and its many manifestations in others, as a tribute to a great mathematical achievement and as an intellectual pleasure, contemplating the marvellous unity of all mathematics.
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.
Download or read book Our Mathematical Universe written by Max Tegmark and published by Vintage. This book was released on 2015-02-03 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians.
Download or read book The Power of Birthdays Stars Numbers written by Saffi Crawford and published by Ballantine Books. This book was released on 2009-11-25 with total page 842 pages. Available in PDF, EPUB and Kindle. Book excerpt: The most complete, comprehensive birthday forecast available--synthesizing the secrets of astrology, numerology, and fixed stars! In this delightfully addictive, wholly accessible book, two skilled astrologers guide you toward greater psychological insight, self-awareness, and a keen understanding of your unique position in the universe. Packed with an extraordinary wealth of knowledge and clear, easy-to-interpret graphs and charts, The Power of Birthdays, Stars and Numbers provides: ¸ BIRTHDAY FORECASTS--366 profiles--one for each day of the year--reveal your positive and negative personality traits, career strengths, tips on love and relationships, your secret self, your best days for romance and friendship, potential fatal attractions, famous people who share your birthday, and much more! INCLUDING! ¸ FIXED STARS--Though astrologers have used fixed stars for centuries, now the general public can reap the rewards of this classic method for enlightenment. The stars that line the heavens radiate great power, depending on your date of birth. You'll learn your primary fixed star plus those that influence your astrological chart. ¸ NUMEROLOGICAL PROFILES--Discover the importance of the nine basic numbers, and learn how to calculate your holistic number (which reveals your life purpose) and your personal year number (which sheds light on what specific lessons a particular year has in store for you). Travel beyond the twelve signs of the zodiac and tap into The Power of Birthdays, Stars and Numbers. You hold centuries of wisdom in your hands.
