Advertisement
| diophantus facts: The Arithmetica of Diophantus Jean Christianidis, Jeffrey Oaks, 2022-11-01 This volume offers an English translation of all ten extant books of Diophantus of Alexandria’s Arithmetica, along with a comprehensive conceptual, historical, and mathematical commentary. Before his work became the inspiration for the emerging field of number theory in the seventeenth century, Diophantus (ca. 3rd c. CE) was known primarily as an algebraist. This volume explains how his method of solving arithmetical problems agrees both conceptually and procedurally with the premodern algebra later practiced in Arabic, Latin, and European vernaculars, and how this algebra differs radically from the modern algebra initiated by François Viète and René Descartes. It also discusses other surviving traces of ancient Greek algebra and follows the influence of the Arithmetica in medieval Islam, Byzantium, and the European Renaissance down to the 1621 publication of Claude-Gaspard Bachet’s edition. After the English translation the book provides a problem-by-problem commentary explaining the solutions in a manner compatible with Diophantus’s mode of thought. The Arithmetica of Diophantus provides an invaluable resource for historians of mathematics, science, and technology, as well as those studying ancient Greek, medieval Islamic and Byzantine, and Renaissance history. In addition, the volume is also suitable for mathematicians and mathematics educators. |
| diophantus facts: Diophantus and Diophantine Equations Isabella Grigoryevna Bashmakova, 2019-01-18 This book tells the story of Diophantine analysis, a subject that, owing to its thematic proximity to algebraic geometry, became fashionable in the last half century and has remained so ever since. This new treatment of the methods of Diophantus—a person whose very existence has long been doubted by most historians of mathematics—will be accessible to readers who have taken some university mathematics. It includes the elementary facts of algebraic geometry indispensable for its understanding. The heart of the book is a fascinating account of the development of Diophantine methods during the Renaissance and in the work of Fermat. This account is continued to our own day and ends with an afterword by Joseph Silverman, who notes the most recent developments including the proof of Fermat's Last Theorem. |
| diophantus facts: History of Mathematics Craig Smorynski, 2007-12-03 1 An Initial Assignment I haven’t taught the history of mathematics that often, but I do rather like the course. The chief drawbacks to teaching it are that i. it is a lot more work than teaching a regular mathematics course, and ii. in American colleges at least, the students taking the course are not mathematics majors but e- cation majors— and and in the past I had found education majors to be somewhat weak and unmotivated. The last time I taught the course, however, themajorityofthestudentsweregraduateeducationstudentsworkingtoward their master’s degrees. I decided to challenge them right from the start: 1 Assignment. In An Outline of Set Theory, James Henle wrote about mat- matics: Every now and then it must pause to organize and re?ect on what it is and where it comes from. This happened in the sixth century B. C. when Euclid thought he had derived most of the mathematical results known at the time from ?ve postulates. Do a little research to ?nd as many errors as possible in the second sentence and write a short essay on them. Theresponsesfarexceededmyexpectations. Tobesure,someoftheund- graduates found the assignment unclear: I did not say how many errors they 2 were supposed to ?nd. But many of the students put their hearts and souls 1 MyapologiestoProf. Henle,atwhoseexpenseIpreviouslyhadalittlefunonthis matter. I used it again not because of any animosity I hold for him, but because I was familiar with it and, dealing with Euclid, it seemed appropriate for the start of my course. |
| diophantus facts: Diophantus of Alexandria Thomas L. Heath, 1910 |
| diophantus facts: Mathematical Evolutions Abe Shenitzer, John Stillwell, 2020-08-03 |
| diophantus facts: Greek Mathematical Thought and the Origin of Algebra Jacob Klein, 2013-04-22 Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography. |
| diophantus facts: Wheels, Life and Other Mathematical Amusements Martin Gardner, 2020-10-06 Martin Gardner's Mathematical Games columns in Scientific American inspired and entertained several generations of mathematicians and scientists. Gardner in his crystal-clear prose illuminated corners of mathematics, especially recreational mathematics, that most people had no idea existed. His playful spirit and inquisitive nature invite the reader into an exploration of beautiful mathematical ideas along with him. These columns were both a revelation and a gift when he wrote them; no one--before Gardner--had written about mathematics like this. They continue to be a marvel. This is the original 1983 edition and contains columns published from 1970-1972. It includes three columns on the game of Life. |
| diophantus facts: Famous Puzzles of Great Mathematicians Miodrag Petkovi_, 2009-09-02 This entertaining book presents a collection of 180 famous mathematical puzzles and intriguing elementary problems that great mathematicians have posed, discussed, and/or solved. The selected problems do not require advanced mathematics, making this book accessible to a variety of readers. Mathematical recreations offer a rich playground for both amateur and professional mathematicians. Believing that creative stimuli and aesthetic considerations are closely related, great mathematicians from ancient times to the present have always taken an interest in puzzles and diversions. The goal of this book is to show that famous mathematicians have all communicated brilliant ideas, methodological approaches, and absolute genius in mathematical thoughts by using recreational mathematics as a framework. Concise biographies of many mathematicians mentioned in the text are also included. The majority of the mathematical problems presented in this book originated in number theory, graph theory, optimization, and probability. Others are based on combinatorial and chess problems, while still others are geometrical and arithmetical puzzles. This book is intended to be both entertaining as well as an introduction to various intriguing mathematical topics and ideas. Certainly, many stories and famous puzzles can be very useful to prepare classroom lectures, to inspire and amuse students, and to instill affection for mathematics. |
| diophantus facts: A History of Greek Mathematics T. L. Heath, 2013-11-21 Originally published in 1921, this rigorous two-volume work traces ancient Greek mathematics from Thales of Miletus to Diophantus of Alexandria. |
| diophantus facts: Algebra, with Arithmetic and Mensuration, from the Sanscrit of Brahmegupta and Bhascara , 1817 |
| diophantus facts: A Mathematical Odyssey Steven G. Krantz, Harold R. Parks, 2014-05-10 Mathematics is a poem. It is a lucid, sensual, precise exposition of beautiful ideas directed to specific goals. It is worthwhile to have as broad a cross-section of mankind as possible be conversant with what goes on in mathematics. Just as everyone knows that the Internet is a powerful and important tool for communication, so everyone should know that the Poincaré conjecture gives us important information about the shape of our universe. Just as every responsible citizen realizes that the mass-production automobile was pioneered by Henry Ford, so everyone should know that the P/NP problem has implications for security and data manipulation that will affect everyone. This book endeavors to tell the story of the modern impact of mathematics, of its trials and triumphs and insights, in language that can be appreciated by a broad audience. It endeavors to show what mathematics means for our lives, how it impacts all of us, and what new thoughts it should cause us to entertain. It introduces new vistas of mathematical ideas and shares the excitement of new ideas freshly minted. It discusses the significance and impact of these ideas, and gives them meaning that will travel well and cause people to reconsider their place in the universe. Mathematics is one of mankind's oldest disciplines. Along with philosophy, it has shaped the very modus of human thought. And it continues to do so. To be unaware of modern mathematics is to miss out on a large slice of life. It is to be left out of essential modern developments. We want to address this point, and do something about it. This is a book to make mathematics exciting for people of all interests and all walks of life. Mathematics is exhilarating, it is ennobling, it is uplifting, and it is fascinating. We want to show people this part of our world, and to get them to travel new paths. |
| diophantus facts: Algebra Brahmagupta, 1817 |
| diophantus facts: Algebra, with Arithmetic and Mensuration, from the Sanscrit of Brahmegupta and Bhascara. Transl. by Henry-Thomas Colebrooke Brahmagupta, Bhaskara, 1817 |
| diophantus facts: Algebra, with Arithmetic and Mensuration Brahmagupta, 1817 |
| diophantus facts: Number Theory in Science and Communication M.R. Schroeder, 2006-01-06 Number Theory in Science and Communication introductes non-mathematicians to the fascinating and diverse applications of number theory. This best-selling book stresses intuitive understanding rather than abstract theory. This revised fourth edition is augmented by recent advances in primes in progressions, twin primes, prime triplets, prime quadruplets and quintruplets, factoring with elliptic curves, quantum factoring, Golomb rulers and baroque integers. |
| diophantus facts: History of the Theory of Numbers Leonard Eugene Dickson, 1999 |
| diophantus facts: The Social Origins of Modern Science P. Zilsel, 2013-03-07 Edgar Zilsel (1891-1944) lived through the best of times and worst of times, through the renewal of scientific optimism and humane politics, and through the massive social collapse into idolatrous barbarism. With it all, and with his per sonal and family crises in Vienna and later in America, Zilsel was, I believe, a th heroic, indeed a model, scholar of the first half of the 20 century. He was widely admired as a teacher, at high schools, in workers education, in research tutoring and seminars. He was an original investigator on matters of the methodology of science, and of the history of the sciences. He was a social and political analyst, as a critical Marxist, of the turmoil of Vienna in the 20s. Above all, he achieved so much as a sociological historian who undertook re search on two central facts of the early modern world: recognition of the cre ative individual, and the ideal of genius; and the conditions and realities of the coming of science to European civilization. |
| diophantus facts: Learning Mathematics Paul Cobb, 2013-03-09 This volume emphasizes students' inferred mathematical experiences as the starting point in the theory-building process. The book addresses conceptual constructions, including multiplicative notions, fractions, algebra, and the fundamental theorem of calculus, and theoretical constructs such as the crucial role of language and symbols, and the importance of dynamic imagery. |
| diophantus facts: Amazing and Aesthetic Aspects of Analysis Paul Loya, 2018-05-11 Lively prose and imaginative exercises draw the reader into this unique introductory real analysis textbook. Motivating the fundamental ideas and theorems that underpin real analysis with historical remarks and well-chosen quotes, the author shares his enthusiasm for the subject throughout. A student reading this book is invited not only to acquire proficiency in the fundamentals of analysis, but to develop an appreciation for abstraction and the language of its expression. In studying this book, students will encounter: the interconnections between set theory and mathematical statements and proofs; the fundamental axioms of the natural, integer, and real numbers; rigorous ε-N and ε-δ definitions; convergence and properties of an infinite series, product, or continued fraction; series, product, and continued fraction formulæ for the various elementary functions and constants. Instructors will appreciate this engaging perspective, showcasing the beauty of these fundamental results. |
| diophantus facts: Mathematical Thought From Ancient to Modern Times, Volume 1 Morris Kline, 1990-03-01 This comprehensive history traces the development of mathematical ideas and the careers of the men responsible for them. Volume 1 looks at the disciplines origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the 19th century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Godel on recent mathematical study. |
| diophantus facts: A history of Greek mathematics Thomas L. Heath, 1993 |
| diophantus facts: The Last Problem Eric Temple Bell, 2020-08-03 What Eric Temple Bell calls The Last Problem is the problem of proving 'Fermat's Last Theorem', which Fermat wrote in the margin of a book almost 350 years ago. The original text of The Last Problem traced the problem from 2000 BC to 17th century France. Along the way we learn quite a bit about history, and just as much about mathematics. This book fits no categories. It is not a book of mathematics: it is a biography of a famous problem. Pages go by without an equation appearing. It is both a history of number theory and its place in our civilization, and a history of our civilization's relationship with mathematics. This rich and varied, wide-ranging book, written with force and vigor by someone with a distinctive style and point of view will provide hours of enjoyable reading for anyone interested in mathematics.-Print ed. |
| diophantus facts: Books IV to VII of Diophantus’ Arithmetica Jacques Sesiano, 2012-12-06 This edition of Books IV to VII of Diophantus' Arithmetica, which are extant only in a recently discovered Arabic translation, is the outgrowth of a doctoral dissertation submitted to the Brown University Department of the History of Mathematics in May 1975. Early in 1973, my thesis adviser, Gerald Toomer, learned of the existence of this manuscript in A. Gulchln-i Macanl's just-published catalogue of the mathematical manuscripts in the Mashhad Shrine Library, and secured a photographic copy of it. In Sep tember 1973, he proposed that the study of it be the subject of my dissertation. Since limitations of time compelled us to decide on priorities, the first objective was to establish a critical text and to translate it. For this reason, the Arabic text and the English translation appear here virtually as they did in my thesis. Major changes, however, are found in the mathematical com mentary and, even more so, in the Arabic index. The discussion of Greek and Arabic interpolations is entirely new, as is the reconstruction of the history of the Arithmetica from Diophantine to Arabic times. It is with the deepest gratitude that I acknowledge my great debt to Gerald Toomer for his constant encouragement and invaluable assistance. |
| diophantus facts: Mathematics of Complexity and Dynamical Systems Robert A. Meyers, 2011-10-05 Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers. |
| diophantus facts: Miscellaneous Essays by H. T. Colebrooke , 1837 |
| diophantus facts: Miscellaneous Essays Henry T. Colebrooke, 1837 |
| diophantus facts: The History of Mathematics Roger L. Cooke, 2011-02-14 This new edition brings the fascinating and intriguing history of mathematics to life The Second Edition of this internationally acclaimed text has been thoroughly revised, updated, and reorganized to give readers a fresh perspective on the evolution of mathematics. Written by one of the world's leading experts on the history of mathematics, the book details the key historical developments in the field, providing an understanding and appreciation of how mathematics influences today's science, art, music, literature, and society. In the first edition, each chapter was devoted to a single culture. This Second Edition is organized by subject matter: a general survey of mathematics in many cultures, arithmetic, geometry, algebra, analysis, and mathematical inference. This new organization enables students to focus on one complete topic and, at the same time, compare how different cultures approached each topic. Many new photographs and diagrams have been added to this edition to enhance the presentation. The text is divided into seven parts: The World of Mathematics and the Mathematics of the World, including the origin and prehistory of mathematics, cultural surveys, and women mathematicians Numbers, including counting, calculation, ancient number theory, and numbers and number theory in modern mathematics Color Plates, illustrating the impact of mathematics on civilizations from Egypt to Japan to Mexico to modern Europe Space, including measurement, Euclidean geometry, post-Euclidean geometry, and modern geometrics Algebra, including problems leading to algebra, equations and methods, and modern algebra Analysis, including the calculus, real, and complex analysis Mathematical Inference, including probability and statistics, and logic and set theory As readers progress through the text, they learn about the evolution of each topic, how different cultures devised their own solutions, and how these solutions enabled the cultures to develop and progress. In addition, readers will meet some of the greatest mathematicians of the ages, who helped lay the groundwork for today's science and technology. The book's lively approach makes it appropriate for anyone interested in learning how the field of mathematics came to be what it is today. It can also serve as a textbook for undergraduate or graduate-level courses. An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department. |
| diophantus facts: A History of Greek Mathematics Sir Thomas Little Heath, 1921 |
| diophantus facts: Classical Mathematics from Al-Khwarizmi to Descartes Roshdi Rashed, 2014-08-21 This book follows the development of classical mathematics and the relation between work done in the Arab and Islamic worlds and that undertaken by the likes of Descartes and Fermat. ‘Early modern,’ mathematics is a term widely used to refer to the mathematics which developed in the West during the sixteenth and seventeenth century. For many historians and philosophers this is the watershed which marks a radical departure from ‘classical mathematics,’ to more modern mathematics; heralding the arrival of algebra, geometrical algebra, and the mathematics of the continuous. In this book, Roshdi Rashed demonstrates that ‘early modern,’ mathematics is actually far more composite than previously assumed, with each branch having different traceable origins which span the millennium. Going back to the beginning of these parts, the aim of this book is to identify the concepts and practices of key figures in their development, thereby presenting a fuller reality of these mathematics. This book will be of interest to students and scholars specialising in Islamic science and mathematics, as well as to those with an interest in the more general history of science and mathematics and the transmission of ideas and culture. |
| diophantus facts: The World of Mathematics James R. Newman, 1956 |
| diophantus facts: Encyclopædia Britannica Walter Yust, 1960 |
| diophantus facts: Number Theory in Science and Communication Manfred Schroeder, 2013-06-29 Number Theory in Science and Communication is an introduction for non-mathematicians. The book stresses intuitive understanding rather than abstract theory and highlights important concepts such as continued fractions, the golden ratio, quadratic residues and Chinese remainders, trapdoor functions, pseudoprimes and primitive elements. Their applications to problems in the real world is one of the main themes of the book. This third edition is augmented by recent advances in primes in progressions, twin primes, prime triplets, prime quadruplets and quintruplets, factoring with elliptic curves, quantum factoring, Golomb rulers and baroque integers. |
| diophantus facts: Beeton's Dictionary of Universal Information. Comprising a Complete Summary of the ... Sciences ... Arts ... Literary Knowledge, Etc Samuel Orchart Beeton, 1870 |
| diophantus facts: The Use of Historical Materials in the Teaching of First Year Algebra Orval Lee Seaman, 1963 |
| diophantus facts: Success in Math : Basic Algebra Globe, 1996 Success in Math helps students with varying learning styles master basic math concepts and prepares them for success on math competency tests. Student Texts This five-book softcover series breaks down core math concepts into short, manageable lessons that assume little background knowledge and are introduced in real-life context. In addition, chapter opener vocabulary lists and a glossary prove valuable for English language learners with below- or at-level math skills. Teacher's resources include answer Keys, as well as error analysis notes, alternative strategies for varied learning styles, problem-solving strategies, ESL notes, cooperative learning strategies, and reproducible masters are provided. Reading Level: 6-7 Interest Level: 8-12 |
| diophantus facts: Beeton's Dictionary of universal information; comprising a complete summary of the moral, mathematical, physical and natural sciences [&c., ed. by S.O. Beeton and J. Sherer. Wanting pt. 13]. Samuel Orchart Beeton, 1861 |
| diophantus facts: Mathematics Can be Fun I︠A︡kov Isidorovich Perelʹman, 1985 A collection of mathematical entertainments taken from Perelman's Zhivai︠a︡ matematika, 1970, and Zanimatelʹnai︠a︡ algebra, 1976. |
| diophantus facts: An Introduction to Number Theory with Cryptography James Kraft, Lawrence Washington, 2018-01-29 Building on the success of the first edition, An Introduction to Number Theory with Cryptography, Second Edition, increases coverage of the popular and important topic of cryptography, integrating it with traditional topics in number theory. The authors have written the text in an engaging style to reflect number theory's increasing popularity. The book is designed to be used by sophomore, junior, and senior undergraduates, but it is also accessible to advanced high school students and is appropriate for independent study. It includes a few more advanced topics for students who wish to explore beyond the traditional curriculum. Features of the second edition include Over 800 exercises, projects, and computer explorations Increased coverage of cryptography, including Vigenere, Stream, Transposition,and Block ciphers, along with RSA and discrete log-based systems Check Your Understanding questions for instant feedback to students New Appendices on What is a proof? and on Matrices Select basic (pre-RSA) cryptography now placed in an earlier chapter so that the topic can be covered right after the basic material on congruences Answers and hints for odd-numbered problems About the Authors: Jim Kraft received his Ph.D. from the University of Maryland in 1987 and has published several research papers in algebraic number theory. His previous teaching positions include the University of Rochester, St. Mary's College of California, and Ithaca College, and he has also worked in communications security. Dr. Kraft currently teaches mathematics at the Gilman School. Larry Washington received his Ph.D. from Princeton University in 1974 and has published extensively in number theory, including books on cryptography (with Wade Trappe), cyclotomic fields, and elliptic curves. Dr. Washington is currently Professor of Mathematics and Distinguished Scholar-Teacher at the University of Maryland. |
| diophantus facts: Handbook of Discrete and Combinatorial Mathematics Kenneth H. Rosen, 2017-10-19 Handbook of Discrete and Combinatorial Mathematics provides a comprehensive reference volume for mathematicians, computer scientists, engineers, as well as students and reference librarians. The material is presented so that key information can be located and used quickly and easily. Each chapter includes a glossary. Individual topics are covered in sections and subsections within chapters, each of which is organized into clearly identifiable parts: definitions, facts, and examples. Examples are provided to illustrate some of the key definitions, facts, and algorithms. Some curious and entertaining facts and puzzles are also included. Readers will also find an extensive collection of biographies. This second edition is a major revision. It includes extensive additions and updates. Since the first edition appeared in 1999, many new discoveries have been made and new areas have grown in importance, which are covered in this edition. |
| diophantus facts: Diophantine Analysis Jorn Steuding, 2005-05-19 While its roots reach back to the third century, diophantine analysis continues to be an extremely active and powerful area of number theory. Many diophantine problems have simple formulations, they can be extremely difficult to attack, and many open problems and conjectures remain. Diophantine Analysis examines the theory of diophantine ap |
Diophantus' Lifespan - Mathematics Stack Exchange
Today I saw Diophantus' Epitaph. For those of you who don't know it and don't feel like googling: 'Here lies Diophantus,' the wonder behold. Through art algebraic, the stone tells how old: 'God...
reference request - Is there an English translation of Diophantus's ...
Aug 24, 2011 · Is Heath's book really a translation? It seems more like a book ABOUT Diophantus's "Arithmetica", not the translation of the actual book. There's just an "abstract" from the books, …
How to solve the problem that determines the age of Diophantus?
Let D D be the number of years Diophantus lived, and S S the number of years his son lived. First we make an obvious relation, that his son lived for half his own lifetime.
Are problems in "Arithmetica" of Diophantus all solved now?
Jan 31, 2019 · It's well-known that Diophantus had written ”Diophantus“ which contains many problems about solving arithmetic equations. I wonder whether all of them has been solved using …
Fermat's Notes on Diophantus - Mathematics Stack Exchange
Aug 17, 2016 · I am looking for a free online copy of Diophantus' Arithmetica as well as Fermat's Notes on it. After some google searching, I couldn't find any. Thanks for your help! Edit: English …
How to find solutions of linear Diophantine ax + by = c?
The diophantine equation ax + by = c has solutions if and only if gcd(a, b) c. If so, it has infinitely many solutions, and any one solution can be used to generate all the other ones. To see this, …
abstract algebra - Diophantus math - Mathematics Stack Exchange
Diophantus math Ask Question Asked 11 years, 7 months ago Modified 11 years, 7 months ago
Nonlinear system Diophantus. - Mathematics Stack Exchange
Aug 18, 2015 · In the extant books of Diophantus, are considered in the system of equations. Of interest is the non-linear system of Diophantine equations. Some simple systems from his book …
Question on proving Primitive Pythagorean triples using Diophantus ...
Jan 25, 2020 · Question on proving Primitive Pythagorean triples using Diophantus method? [duplicate] Ask Question Asked 5 years, 4 months ago Modified 5 years, 4 months ago
abstract algebra - Diophantus mathematics - Mathematics Stack …
Find a number whose subtraction from two given numbers (say, $9$ and $21$) allows both differences to be squares. Call the required number $9 - x^2$ so that the condition holds …
Diophantus' Lifespan - Mathematics Stack Exchange
Today I saw Diophantus' Epitaph. For those of you who don't know it and don't feel like googling: 'Here lies Diophantus,' the wonder behold. Through art algebraic, the stone tells how old: 'God...
reference request - Is there an English translation of Diophantus's ...
Aug 24, 2011 · Is Heath's book really a translation? It seems more like a book ABOUT Diophantus's "Arithmetica", not the translation of the actual book. There's just an "abstract" …
How to solve the problem that determines the age of Diophantus?
Let D D be the number of years Diophantus lived, and S S the number of years his son lived. First we make an obvious relation, that his son lived for half his own lifetime.
Are problems in "Arithmetica" of Diophantus all solved now?
Jan 31, 2019 · It's well-known that Diophantus had written ”Diophantus“ which contains many problems about solving arithmetic equations. I wonder whether all of them has been solved …
Fermat's Notes on Diophantus - Mathematics Stack Exchange
Aug 17, 2016 · I am looking for a free online copy of Diophantus' Arithmetica as well as Fermat's Notes on it. After some google searching, I couldn't find any. Thanks for your help! Edit: …
How to find solutions of linear Diophantine ax + by = c?
The diophantine equation ax + by = c has solutions if and only if gcd(a, b) c. If so, it has infinitely many solutions, and any one solution can be used to generate all the other ones. To see this, …
abstract algebra - Diophantus math - Mathematics Stack Exchange
Diophantus math Ask Question Asked 11 years, 7 months ago Modified 11 years, 7 months ago
Nonlinear system Diophantus. - Mathematics Stack Exchange
Aug 18, 2015 · In the extant books of Diophantus, are considered in the system of equations. Of interest is the non-linear system of Diophantine equations. Some simple systems from his …
Question on proving Primitive Pythagorean triples using …
Jan 25, 2020 · Question on proving Primitive Pythagorean triples using Diophantus method? [duplicate] Ask Question Asked 5 years, 4 months ago Modified 5 years, 4 months ago
abstract algebra - Diophantus mathematics - Mathematics Stack …
Find a number whose subtraction from two given numbers (say, $9$ and $21$) allows both differences to be squares. Call the required number $9 - x^2$ so that the condition holds …
