A Pythagorean Introduction to Number Theory: Right Triangles, Sums of Squares, and Arithmetic, Takloo-Bighash Ramin
Автор: Carl A. Huffman Название: Aristoxenus of Tarentum: The Pythagorean Precepts (How to Live a Pythagorean Life): An Edition of and Commentary on the Fragments with an Introduction ISBN: 1108425313 ISBN-13(EAN): 9781108425315 Издательство: Cambridge Academ Рейтинг: Цена: 166850.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: A major new resource for students of ancient philosophy who want to understand the Pythagorean way of life in the time of Plato. Includes a new Greek text and detailed commentary on The Pythagorean Precepts, as well as an English translation and accessible overview of the Pythagorean ethical system.
Автор: Takloo-bighash, Ramin Название: Pythagorean introduction to number theory ISBN: 3030026035 ISBN-13(EAN): 9783030026035 Издательство: Springer Рейтинг: Цена: 46570.00 T Наличие на складе: Невозможна поставка. Описание: Right triangles are at the heart of this textbook’s vibrant new approach to elementary number theory. Inspired by the familiar Pythagorean theorem, the author invites the reader to ask natural arithmetic questions about right triangles, then proceeds to develop the theory needed to respond. Throughout, students are encouraged to engage with the material by posing questions, working through exercises, using technology, and learning about the broader context in which ideas developed.Progressing from the fundamentals of number theory through to Gauss sums and quadratic reciprocity, the first part of this text presents an innovative first course in elementary number theory. The advanced topics that follow, such as counting lattice points and the four squares theorem, offer a variety of options for extension, or a higher-level course; the breadth and modularity of the later material is ideal for creating a senior capstone course. Numerous exercises are included throughout, many of which are designed for SageMath.By involving students in the active process of inquiry and investigation, this textbook imbues the foundations of number theory with insights into the lively mathematical process that continues to advance the field today. Experience writing proofs is the only formal prerequisite for the book, while a background in basic real analysis will enrich the reader’s appreciation of the final chapters.
Автор: Maor Eli Название: The Pythagorean Theorem: A 4,000-Year History ISBN: 0691196885 ISBN-13(EAN): 9780691196886 Издательство: Wiley Рейтинг: Цена: 15830.00 T Наличие на складе: Невозможна поставка. Описание:
An exploration of one of the most celebrated and well-known theorems in mathematics
By any measure, the Pythagorean theorem is the most famous statement in all of mathematics. In this book, Eli Maor reveals the full story of this ubiquitous geometric theorem. Although attributed to Pythagoras, the theorem was known to the Babylonians more than a thousand years earlier. Pythagoras may have been the first to prove it, but his proof--if indeed he had one--is lost to us. The theorem itself, however, is central to almost every branch of science, pure or applied. Maor brings to life many of the characters that played a role in its history, providing a fascinating backdrop to perhaps our oldest enduring mathematical legacy.
Автор: Rida T Farouki Название: Pythagorean-Hodograph Curves: Algebra and Geometry Inseparable ISBN: 3642092438 ISBN-13(EAN): 9783642092435 Издательство: Springer Рейтинг: Цена: 69870.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book offers a comprehensive and self-contained treatment of the mathematical theory of Pythagorean-hodograph curves, including algorithms for their construction and examples of their practical applications.
Автор: Heninger S. K., Heninger S. K. Jr. Название: Touches of Sweet Harmony: Pythagorean Cosmology and Renaissance Poetics ISBN: 1621386236 ISBN-13(EAN): 9781621386230 Издательство: Неизвестно Рейтинг: Цена: 34030.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The notion of a harmonious universe was taught by Pythagoras as early as the sixth century BC, and remained a basic premise in Western philosophy, science, and art almost to our own day. In Touches of Sweet Harmony, S. K. Heninger first recounts the legendary life of Pythagoras, describes his school at Croton, and discusses the materials from which the Renaissance drew its information about Pythagorean doctrine. The second section of the book reconstructs the many facets of this doctrine, and the final section shows its influence on Renaissance poetics. Professor Heninger's magisterial work introduces the reader not only to Pythagoras but to a host of other classical, medieval, and Renaissance figures as well--from Plato and Aristotle through St. Augustine and Macrobius down to Sidney and Spenser.
Автор: Dutsch Dorota M. Название: Pythagorean Women Philosophers: Between Belief and Suspicion ISBN: 0198859031 ISBN-13(EAN): 9780198859031 Издательство: Oxford Academ Рейтинг: Цена: 196570.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Pythagorean Women Philosophers argues for a rewriting of Greek philosophical history so as to include female intellectuals. Dutsch presents testimonies regarding the role of women in the Pythagorean school as demonstrating their active contribution to the philosophical tradition.
Автор: Ludlow Fitz Hugh Название: Collected Works of Fitz Hugh Ludlow, Volume 1: The Hasheesh Eater: Being Passages from the Life of a Pythagorean ISBN: 0996639438 ISBN-13(EAN): 9780996639439 Издательство: Неизвестно Цена: 31390.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Literary Nonfiction. THE HASHEEH EATER is the first, and possible still the best, visionary book of the entheogenic drug experience in American literature. Ludlow takes us from Heaven to Hades and back though breathtakingly beautiful and soulful prose. This Logosophia edition is re-edited and formatted from the 1857 original with a new introduction.Fitz Hugh Ludlow was a remarkable and woefully under-appreciated 19th century American--a New York man of letters, a Western traveler, a progressive, a bohemian, an advocate for opium addicts and an addict himself. His breakthrough hashish memoirs are an easy Yankee match to De Quincey, but he also produced glorious nature and travel writing, as well as curious science essays and some stories marked with the weird and wonderful. Logosophia has done a great service to American literature by ushering Ludlow back in print and, hopefully, back into the limelight.--Erik DavisThe publication of the complete works of Fitz Hugh Ludlow marks a major event in American letters. Dulchinos and Crimi have rescued a forgotten and uniquely contemporary literary master whose celebration of hallucinated literary visions recall such Beat writers as William Burroughs and Jack Kerouac. His later accounts of the horrors of addiction and the battle to get free could just as well have come from Augustin Burroughs and Jerry Stahl. Ludlow is a new nineteenth century giant to take his place alongside Hawthorne, Twain, Poe and Melville.--Alan Kaufman
