Download or read book Leonard of Pisa and the New Mathematics of the Middle Ages written by Joseph Gies and published by . This book was released on 1969 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: A portrait of Pisa, the 13th century capital of the commercial revolution, with emphasis on the contribution of Leonard Fibonacci to the new mathematics.
Download or read book Fibonacci s Liber Abaci written by Laurence Sigler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1202, Fibonacci’s Liber Abaci was one of the most important books on mathematics in the Middle Ages, introducing Arabic numerals and methods throughout Europe. This is the first translation into a modern European language, of interest not only to historians of science but also to all mathematicians and mathematics teachers interested in the origins of their methods.
Download or read book Leonardo Pisano Fibonacci written by L. E. Sigler and published by Elsevier. This book was released on 2014-06-28 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Book of Squares by Fibonacci is a gem in the mathematical literature and one of the most important mathematical treatises written in the Middle Ages. It is a collection of theorems on indeterminate analysis and equations of second degree which yield, among other results, a solution to a problem proposed by Master John of Palermo to Leonardo at the Court of Frederick II. The book was dedicated and presented to the Emperor at Pisa in 1225. Dating back to the 13th century the book exhibits the early and continued fascination of men with our number system and the relationship among numbers with special properties such as prime numbers, squares, and odd numbers. The faithful translation into modern English and the commentary by the translator make this book accessible to professional mathematicians and amateurs who have always been intrigued by the lure of our number system.
Download or read book Blockhead written by Joseph D'Agnese and published by Macmillan. This book was released on 2010-03-30 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: A biography of Leonardo Fibonacci, the 12th century mathematician who discovered the numerical sequence named for him.
Download or read book The Man of Numbers written by Keith Devlin and published by A&C Black. This book was released on 2011-11-07 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1202, a 32-year old Italian finished one of the most influential books of all time, which introduced modern arithmetic to Western Europe. Devised in India in the seventh and eighth centuries and brought to North Africa by Muslim traders, the Hindu-Arabic system helped transform the West into the dominant force in science, technology, and commerce, leaving behind Muslim cultures which had long known it but had failed to see its potential. The young Italian, Leonardo of Pisa (better known today as Fibonacci), had learned the Hindu number system when he traveled to North Africa with his father, a customs agent. The book he created was Liber abbaci, the 'Book of Calculation', and the revolution that followed its publication was enormous. Arithmetic made it possible for ordinary people to buy and sell goods, convert currencies, and keep accurate records of possessions more readily than ever before. Liber abbaci's publication led directly to large-scale international commerce and the scientific revolution of the Renaissance. Yet despite the ubiquity of his discoveries, Leonardo of Pisa remains an enigma. His name is best known today in association with an exercise in Liber abbaci whose solution gives rise to a sequence of numbers - the Fibonacci sequence - used by some to predict the rise and fall of financial markets, and evident in myriad biological structures. In The Man of Numbers, Keith Devlin recreates the life and enduring legacy of an overlooked genius, and in the process makes clear how central numbers and mathematics are to our daily lives.
Download or read book The Middle Ages written by Frank N. Magill and published by Routledge. This book was released on 2012-11-12 with total page 1072 pages. Available in PDF, EPUB and Kindle. Book excerpt: Each volume of the Dictionary of World Biography contains 250 entries on the lives of the individuals who shaped their times and left their mark on world history. This is not a who's who. Instead, each entry provides an in-depth essay on the life and career of the individual concerned. Essays commence with a quick reference section that provides basic facts on the individual's life and achievements. The extended biography places the life and works of the individual within an historical context, and the summary at the end of each essay provides a synopsis of the individual's place in history. All entries conclude with a fully annotated bibliography.
Download or read book The Golden Ratio And Fibonacci Numbers written by Richard A Dunlap and published by World Scientific. This book was released on 1997-12-16 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this invaluable book, the basic mathematical properties of the golden ratio and its occurrence in the dimensions of two- and three-dimensional figures with fivefold symmetry are discussed. In addition, the generation of the Fibonacci series and generalized Fibonacci series and their relationship to the golden ratio are presented. These concepts are applied to algorithms for searching and function minimization. The Fibonacci sequence is viewed as a one-dimensional aperiodic, lattice and these ideas are extended to two- and three-dimensional Penrose tilings and the concept of incommensurate projections. The structural properties of aperiodic crystals and the growth of certain biological organisms are described in terms of Fibonacci sequences.
Download or read book A History of Mathematics written by Carl B. Boyer and published by John Wiley & Sons. This book was released on 2011-01-25 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: The updated new edition of the classic and comprehensive guide to the history of mathematics For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind’s relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat’s Last Theorem and the Poincaré Conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs. Distills thousands of years of mathematics into a single, approachable volume Covers mathematical discoveries, concepts, and thinkers, from Ancient Egypt to the present Includes up-to-date references and an extensive chronological table of mathematical and general historical developments. Whether you're interested in the age of Plato and Aristotle or Poincaré and Hilbert, whether you want to know more about the Pythagorean theorem or the golden mean, A History of Mathematics is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it.
Download or read book Mathematics written by Harry Henderson and published by Infobase Publishing. This book was released on 2007 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses mathematics and how it plans an intricate part of daily life rather than an isolated science.
Download or read book Finding Fibonacci written by Keith Devlin and published by Princeton University Press. This book was released on 2017-03-07 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: A compelling firsthand account of Keith Devlin's ten-year quest to tell Fibonacci's story In 2000, Keith Devlin set out to research the life and legacy of the medieval mathematician Leonardo of Pisa, popularly known as Fibonacci, whose book Liber abbaci has quite literally affected the lives of everyone alive today. Although he is most famous for the Fibonacci numbers—which, it so happens, he didn't invent—Fibonacci's greatest contribution was as an expositor of mathematical ideas at a level ordinary people could understand. In 1202, Liber abbaci—the "Book of Calculation"—introduced modern arithmetic to the Western world. Yet Fibonacci was long forgotten after his death, and it was not until the 1960s that his true achievements were finally recognized. Finding Fibonacci is Devlin's compelling firsthand account of his ten-year quest to tell Fibonacci's story. Devlin, a math expositor himself, kept a diary of the undertaking, which he draws on here to describe the project's highs and lows, its false starts and disappointments, the tragedies and unexpected turns, some hilarious episodes, and the occasional lucky breaks. You will also meet the unique individuals Devlin encountered along the way, people who, each for their own reasons, became fascinated by Fibonacci, from the Yale professor who traced modern finance back to Fibonacci to the Italian historian who made the crucial archival discovery that brought together all the threads of Fibonacci's astonishing story. Fibonacci helped to revive the West as the cradle of science, technology, and commerce, yet he vanished from the pages of history. This is Devlin's search to find him.
Download or read book Measuring Heaven written by Christiane L. Joost-Gaugier and published by Cornell University Press. This book was released on 2018-09-05 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surviving fragments of information about Pythagoras (born ca. 570 BCE) gave rise to a growing set of legends about this famous sage and his followers, whose reputations throughout Antiquity and the Middle Ages have never before been studied systematically. This book is the first to examine the unified concepts of harmony, proportion, form, and order that were attributed to Pythagoras in the millennium after his death and the important developments to which they led in art, architecture, mathematics, astronomy, music, medicine, morals, religion, law, alchemy, and the occult sciences. In this profusely illustrated book, Christiane L. Joost-Gaugier sets out the panorama of Pythagoras's influence and that of Christian and Jewish thinkers who followed his ideas in the Greek, Roman, early Christian, and medieval worlds. In illuminating this tradition of thought, Joost-Gaugier shows how the influence of Pythagoreanism was far broader than is usually realized, and that it affected the development of ancient and medieval art and architecture from Greek and Roman temples to Gothic cathedrals.Joost-Gaugier demonstrates that Pythagoreanism—centered on the dim memory of a single person that endured for centuries and grew ever-greater—inspired a new language for artists and architects, enabling them to be "modern."
Download or read book Masters of Mathematics written by Robert A. Nowlan and published by Springer. This book was released on 2017-05-13 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: The original title for this work was “Mathematical Literacy, What Is It and Why You Need it”. The current title reflects that there can be no real learning in any subject, unless questions of who, what, when, where, why and how are raised in the minds of the learners. The book is not a mathematical text, and there are no assigned exercises or exams. It is written for reasonably intelligent and curious individuals, both those who value mathematics, aware of its many important applications and others who have been inappropriately exposed to mathematics, leading to indifference to the subject, fear and even loathing. These feelings are all consequences of meaningless presentations, drill, rote learning and being lost as the purpose of what is being studied. Mathematics education needs a radical reform. There is more than one way to accomplish this. Here the author presents his approach of wrapping mathematical ideas in a story. To learn one first must develop an interest in a problem and the curiosity to find how masters of mathematics have solved them. What is necessary to be mathematically literate? It’s not about solving algebraic equations or even making a geometric proof. These are valuable skills but not evidence of literacy. We often seek answers but learning to ask pertinent questions is the road to mathematical literacy. Here is the good news: new mathematical ideas have a way of finding applications. This is known as “the unreasonable effectiveness of mathematics.”
Download or read book Routledge Revivals Medieval Science Technology and Medicine 2006 written by Thomas F. Glick and published by Taylor & Francis. This book was released on 2017-07-05 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2005, this encyclopedia demonstrates that the millennium from the fall of the Roman Empire to the Renaissance was a period of great intellectual and practical achievement and innovation. In Europe, the Islamic world, South and East Asia, and the Americas, individuals built on earlier achievements, introduced sometimes radical refinements and laid the foundations for modern development. Medieval Science, Technology, and Medicine details the whole scope of scientific knowledge in the medieval period in more than 300 A to Z entries. This comprehensive resource discusses the research, application of knowledge, cultural and technology exchanges, experimentation, and achievements in the many disciplines related to science and technology. It also looks at the relationship between medieval science and the traditions it supplanted. Written by a select group of international scholars, this reference work will be of great use to scholars, students, and general readers researching topics in many fields, including medieval studies, world history, history of science, history of technology, history of medicine, and cultural studies.
Download or read book The Man of Numbers written by Keith Devlin and published by A&C Black. This book was released on 2012-11-01 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1202, a 32-year old Italian finished one of the most influential books of all time, which introduced modern arithmetic to Western Europe. Devised in India in the seventh and eighth centuries and brought to North Africa by Muslim traders, the Hindu-Arabic system helped transform the West into the dominant force in science, technology, and commerce, leaving behind Muslim cultures which had long known it but had failed to see its potential.The young Italian, Leonardo of Pisa (better known today as Fibonacci), had learned the Hindu number system when he traveled to North Africa with his father, a customs agent. The book he created was Liber abbaci, the 'Book of Calculation', and the revolution that followed its publication was enormous.Arithmetic made it possible for ordinary people to buy and sell goods, convert currencies, and keep accurate records of possessions more readily than ever before. Liber abbaci's publication led directly to large-scale international commerce and the scientific revolution of the Renaissance. Yet despite the ubiquity of his discoveries, Leonardo of Pisa remains an enigma. His name is best known today in association with an exercise in Liber abbaci whose solution gives rise to a sequence of numbers - the Fibonacci sequence - used by some to predict the rise and fall of financial markets, and evident in myriad biological structures. In The Man of Numbers, Keith Devlin recreates the life and enduring legacy of an overlooked genius, and in the process makes clear how central numbers and mathematics are to our daily lives.
Download or read book Mathematicians are People Too written by Luetta Reimer and published by . This book was released on 1990 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Looks at the history of mathematical discoveries and the lives of great mathematicians.
Download or read book Rewriting the History of School Mathematics in North America 1607 1861 written by Nerida F. Ellerton and published by Springer Science & Business Media. This book was released on 2012-01-18 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: The focus of this book is the fundamental influence of the cyphering tradition on mathematics education in North American colleges, schools, and apprenticeship training classes between 1607 and 1861. It is the first book on the history of North American mathematics education to be written from that perspective. The principal data source is a set of 207 handwritten cyphering books that have never previously been subjected to careful historical analysis.
Download or read book Medieval Science Technology and Medicine written by Thomas F. Glick and published by Routledge. This book was released on 2014-01-27 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: Medieval Science, Technology, and Medicine details the whole scope of scientific knowledge in the medieval period in more than 300 A to Z entries. This resource discusses the research, application of knowledge, cultural and technology exchanges, experimentation, and achievements in the many disciplines related to science and technology. Coverage includes inventions, discoveries, concepts, places and fields of study, regions, and significant contributors to various fields of science. There are also entries on South-Central and East Asian science. This reference work provides an examination of medieval scientific tradition as well as an appreciation for the relationship between medieval science and the traditions it supplanted and those that replaced it. For a full list of entries, contributors, and more, visit the Routledge Encyclopedias of the Middle Ages website.
