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 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 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 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 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 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 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 Plotinus on Number written by Svetla Slaveva-Griffin and published by Oxford University Press. This book was released on 2009-03-04 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Plotinus on Number studies the fundamental role which number plays in the architecture of the universe in Neoplatonic philosophy. This book draws attention to Platinus' concept as a necesscary and fundamental link between the Platonic and the late Neoplatonic theories of number.
Download or read book Elementary Number Theory written by Gareth A. Jones and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: An undergraduate-level introduction to number theory, with the emphasis on fully explained proofs and examples. Exercises, together with their solutions are integrated into the text, and the first few chapters assume only basic school algebra. Elementary ideas about groups and rings are then used to study groups of units, quadratic residues and arithmetic functions with applications to enumeration and cryptography. The final part, suitable for third-year students, uses ideas from algebra, analysis, calculus and geometry to study Dirichlet series and sums of squares. In particular, the last chapter gives a concise account of Fermat's Last Theorem, from its origin in the ancient Babylonian and Greek study of Pythagorean triples to its recent proof by Andrew Wiles.
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 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 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 Frank Lloyd Wright in the Realm of Ideas written by Frank Lloyd Wright and published by . This book was released on 1988 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nearly twenty years later, this collection of Frank Lloyd Wright's ideas, principles, and forms validates Mrs. Wright's prophecy. This book highlights his ideas - the foundation of his achievement.
Download or read book Discrete Mathematics written by Oscar Levin and published by Createspace Independent Publishing Platform. This book was released on 2016-08-16 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this. Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs. The book contains over 360 exercises, including 230 with solutions and 130 more involved problems suitable for homework. There are also Investigate! activities throughout the text to support active, inquiry based learning. While there are many fine discrete math textbooks available, this text has the following advantages: It is written to be used in an inquiry rich course. It is written to be used in a course for future math teachers. It is open source, with low cost print editions and free electronic editions.
