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 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 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 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: The award-winning former editor of Science News shows that one of the most fascinating and controversial ideas in contemporary cosmology—the existence of multiple parallel universes—has a long and divisive history that continues to this day. We often consider the universe to encompass everything that exists, but some scientists have come to believe that the vast, expanding universe we inhabit may be just one of many. The totality of those parallel universes, still for some the stuff of science fiction, has come to be known as the multiverse. The concept of the multiverse, exotic as it may be, isn’t actually new. In The Number of the Heavens, veteran science journalist Tom Siegfried traces the history of this controversial idea from antiquity to the present. Ancient Greek philosophers first raised the possibility of multiple universes, but Aristotle insisted on one and only one cosmos. Then in 1277 the bishop of Paris declared it heresy to teach that God could not create as many universes as he pleased, unleashing fervent philosophical debate about whether there might exist a “plurality of worlds.” As the Middle Ages gave way to the Renaissance, the philosophical debates became more scientific. René Descartes declared “the number of the heavens” to be indefinitely large, and as notions of the known universe expanded from our solar system to our galaxy, the debate about its multiplicity was repeatedly recast. In the 1980s, new theories about the big bang reignited interest in the multiverse. Today the controversy continues, as cosmologists and physicists explore the possibility of many big bangs, extra dimensions of space, and a set of branching, parallel universes. This engrossing story offers deep lessons about the nature of science and the quest to understand the universe.

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 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 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 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 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 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 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 Mathematics for Human Flourishing written by Francis Su and published by Yale University Press. This book was released on 2020-01-07 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The ancient Greeks argued that the best life was filled with beauty, truth, justice, play and love. The mathematician Francis Su knows just where to find them."--Kevin Hartnett, Quanta Magazine" This is perhaps the most important mathematics book of our time. Francis Su shows mathematics is an experience of the mind and, most important, of the heart."--James Tanton, Global Math Project For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires--such as for play, beauty, freedom, justice, and love--and cultivates virtues essential for human flourishing. These desires and virtues, and the stories told here, reveal how mathematics is intimately tied to being human. Some lessons emerge from those who have struggled, including philosopher Simone Weil, whose own mathematical contributions were overshadowed by her brother's, and Christopher Jackson, who discovered mathematics as an inmate in a federal prison. Christopher's letters to the author appear throughout the book and show how this intellectual pursuit can--and must--be open to all.

Download or read book Book of Proof written by Richard H. Hammack and published by . This book was released on 2016-01-01 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.

Download or read book The Unseen Realm written by Heiser, Michael S. and published by Lexham Press. This book was released on 2015-09-01 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: In The Unseen Realm, Dr. Michael Heiser examines the ancient context of Scripture, explaining how its supernatural worldview can help us grow in our understanding of God. He illuminates intriguing and amazing passages of the Bible that have been hiding in plain sight. You'll find yourself engaged in an enthusiastic pursuit of the truth, resulting in a new appreciation for God's Word. Why wasn't Eve surprised when the serpent spoke to her? How did descendants of the Nephilim survive the flood? Why did Jacob fuse Yahweh and his Angel together in his prayer? Who are the assembly of divine beings that God presides over? In what way do those beings participate in God's decisions? Why do Peter and Jude promote belief in imprisoned spirits? Why does Paul describe evil spirits in terms of geographical rulership? Who are the "glorious ones" that even angels dare not rebuke? After reading this book, you may never read your Bible the same way again. Endorsements "There is a world referred to in the Scripture that is quite unseen, but also quite present and active. Michael Heiser's The Unseen Realm seeks to unmask this world. Heiser shows how important it is to understand this world and appreciate how its contribution helps to make sense of Scripture. The book is clear and well done, treating many ideas and themes that often go unseen themselves. With this book, such themes will no longer be neglected, so read it and discover a new realm for reflection about what Scripture teaches." --Darrell L. Bock, Executive Director for Cultural Engagement, Senior Research Professor of New Testament Studies, Howard G. Hendricks Center for Christian Leadership and Cultural Engagement "'How was it possible that I had never seen that before?' Dr. Heiser's survey of the complex reality of the supernatural world as the Scriptures portray it covers a subject that is strangely sidestepped. No one is going to agree with everything in his book, but the subject deserves careful study, and so does this book." --John Goldingay, David Allan Hubbard Professor of Old Testament, School of Theology, Fuller Theological Seminary "This is a 'big' book in the best sense of the term. It is big in its scope and in its depth of analysis. Michael Heiser is a scholar who knows Scripture intimately in its ancient cultural context. All--scholars, clergy, and laypeople--who read this profound and accessible book will grow in their understanding of both the Old and New Testaments, particularly as their eyes are opened to the Bible's 'unseen world.'" --Tremper Longman III, Robert H. Gundry Professor of Biblical Studies, Westmont College

Download or read book A Book of Set Theory written by Charles C Pinter and published by Courier Corporation. This book was released on 2014-07-23 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This accessible approach to set theory for upper-level undergraduates poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new concepts. A historical introduction is followed by discussions of classes and sets, functions, natural and cardinal numbers, the arithmetic of ordinal numbers, and related topics. 1971 edition with new material by the author"--

Download or read book Problems in Algebraic Number Theory written by M. Ram Murty and published by Springer Science & Business Media. This book was released on 2005-09-28 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problems are systematically arranged to reveal the evolution of concepts and ideas of the subject Includes various levels of problems - some are easy and straightforward, while others are more challenging All problems are elegantly solved

Download or read book Into a Dark Realm written by Raymond E. Feist and published by Harper Collins. This book was released on 2009-10-13 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: The acclaimed master fantasist is back with more adventure, danger, magic, and intrigue in this second thrilling installment in The Darkwar Saga The Conclave of Shadows has foiled the Nighthawks’ attempt to plunge the Empire of Great Kesh into civil war and now has undertaken to stamp out the Guild of Assassins, root and branch. But as the brotherhood of murder is being obliterated, Pug and his allies are confronted with an even more dire question: where is Leso Varen? They discover that the mad sorcerer has taken refuge on the world of Kelewan, among the most powerful men and women of that empire, the Magicians of the Assembly. Pug also learns that the massive hordes of the Dasati—the most vicious group of assassins he has ever known—is poised to make a joint invasion of both Kelewan and Midkemia. To save the future of both empires, Pug and the Conclave of Shadows must journey into another realm of reality, into the darkest realm they have ever encountered: the Dasati home world!