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Author : Frank J. Swetz,T. I. Kao
Publisher : Penn State Press
Page : 109 pages
File Size : 54,5 Mb
Release : 1977
Category : Geometry
ISBN : 9780271044910
Author : Anonim
Publisher : Unknown
Page : 75 pages
File Size : 41,7 Mb
Release : 1977
Category : Geometry
ISBN : OCLC:911746665
Author : Anonim
Publisher : Unknown
Page : 75 pages
File Size : 41,5 Mb
Release : 1979
Category : Geometry
ISBN : OCLC:848329189
Author : Amy Shell-Gellasch
Publisher : MAA
Page : 191 pages
File Size : 44,5 Mb
Release : 2007
Category : Education
ISBN : 9780883851821
In an increasingly electronic society, these exercises are designed to help school and collegiate educators use historical devices of mathematics to balance the digital side of mathematics.
Author : Victor J. Katz,Annette Imhausen
Publisher : Princeton University Press
Page : 712 pages
File Size : 49,7 Mb
Release : 2007-08-05
Category : Mathematics
ISBN : 0691114854
In recent decades it has become obvious that mathematics has always been a worldwide activity. But this is the first book to provide a substantial collection of English translations of key mathematical texts from the five most important ancient and medieval non-Western mathematical cultures, and to put them into full historical and mathematical context. The Mathematics of Egypt, Mesopotamia, China, India, and Islam gives English readers a firsthand understanding and appreciation of these cultures' important contributions to world mathematics. The five section authors--Annette Imhausen (Egypt), Eleanor Robson (Mesopotamia), Joseph Dauben (China), Kim Plofker (India), and J. Lennart Berggren (Islam)--are experts in their fields. Each author has selected key texts and in many cases provided new translations. The authors have also written substantial section introductions that give an overview of each mathematical culture and explanatory notes that put each selection into context. This authoritative commentary allows readers to understand the sometimes unfamiliar mathematics of these civilizations and the purpose and significance of each text. Addressing a critical gap in the mathematics literature in English, this book is an essential resource for anyone with at least an undergraduate degree in mathematics who wants to learn about non-Western mathematical developments and how they helped shape and enrich world mathematics. The book is also an indispensable guide for mathematics teachers who want to use non-Western mathematical ideas in the classroom.
Author : Jean-Claude Martzloff
Publisher : Springer
Page : 491 pages
File Size : 44,7 Mb
Release : 2007-08-17
Category : Mathematics
ISBN : 9783540337836
This book is made up of two parts, the first devoted to general, historical and cultural background, and the second to the development of each subdiscipline that together comprise Chinese mathematics. The book is uniquely accessible, both as a topical reference work, and also as an overview that can be read and reread at many levels of sophistication by both sinologists and mathematicians alike.
Author : Eli Maor
Publisher : Princeton University Press
Page : 296 pages
File Size : 43,6 Mb
Release : 2019-11-19
Category : Mathematics
ISBN : 9780691199498
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.
Author : Christopher Cullen
Publisher : Cambridge University Press
Page : 256 pages
File Size : 52,9 Mb
Release : 2007-01-18
Category : Technology & Engineering
ISBN : 0521035376
This is a study and translation of the Zhou bi suan jing, a Chinese work on astronomy and mathematics that reached its final form around the first century AD. The author provides the first easily accessible introduction to the developing mathematical and observational practices of ancient Chinese astronomers and shows how the generation and validation of knowledge about the heavens in Han dynasty China related closely to developments in statecraft and politics. This book will be fascinating reading for scholars in the history of science, Chinese history, and astronomy.
Author : Marcel Danesi
Publisher : Oxford University Press
Page : 167 pages
File Size : 52,9 Mb
Release : 2020-02-03
Category : Mathematics
ISBN : 9780192593788
As the famous Pythagorean statement reads, 'Number rules the universe', and its veracity is proven in the many mathematical discoveries that have accelerated the development of science, engineering, and even philosophy. A so called "art of the mind", mathematics has guided and stimulated many aspects of human innovation down through the centuries. In this book, Marcel Danesi presents a historical overview of the ten greatest achievements in mathematics, and dynamically explores their importance and effects on our daily lives. Considered as a chain of events rather than isolated incidents, Danesi takes us from the beginnings of modern day mathematics with Pythagoras, through the concept of zero, right the way up to modern computational algorithms. Loaded with thought-provoking practical exercises and puzzles, Pythagoras' Legacy allows the reader to apply their knowledge and discover the significance of mathematics in their everyday lives.
Author : Anonim
Publisher : Penn State Press
Page : 89 pages
File Size : 53,6 Mb
Release : 1992
Category : Mathematics, Chinese
ISBN : 9780271038438
An annotated translation and analysis of the Haidao Suanjing, a Chinese mathematical classic composed by Liu Hui in A.D. 263. All ancient societies practiced the art of land surveying. In fact, tradition tells us that geometry--land measure--had its origins in such surveying. However, an examination of early Western literature reveals few records concerning the practical uses of geometry and mathematics in the tasks of surveying. Recent research into the content and origins of early Chinese mathematics is beginning to reveal the existence of strong traditions and interest in the methodologies and applications of land survey. It is from these Chinese sources that a clearer picture of how people adapted mathematics and geometry to the needs of surveying emerges. The Haidao Suanjing, or Sea Island Mathematical Manual, is one of the "Ten Classics" of traditional Chinese mathematics, and its contents demonstrate the high standards of theoretical and mathematical sophistication present in early Chinese surveying theory. The Haidao established the mathematical procedures for much of East Asian surveying activity for the next one thousand years. The contents of the Haidao also testify to the ability of the Chinese to systematize mathematics and hint at the use of proof in Chinese mathematics, a concept usually associated with Greek mathematical thought. Frank Swetz provides an analysis of the Haidao's surveying problems. In particular, he details surveying techniques and undertakes a mathematical exposition of the Chinese chong cha solution procedures. The Haidao is a testimony to the ingenuity and skill of China's early surveyors and its author, Liu Hui. This study complements and extends the findings of Swetz's previous book, Was Pythagoras Chinese? An Examination of Right Triangle Theory in Ancient China
Author : Hans Decoz
Publisher : Penguin
Page : 292 pages
File Size : 49,6 Mb
Release : 2001-01-01
Category : Body, Mind & Spirit
ISBN : 039952732X
For lovers of tarot, astrology, and deepening your connection with yourself and others-- a divine roadmap to numerology Ever notice how some numbers seem to follow us throughout the course of our lives? Consider the numbers we choose when buying a lotto ticket--birth dates, anniversaries, ages, and addresses as well as other hopefully lucky numbers. They each have some personal meaning. Through the centuries, numerologists have been studying the significance of numbers and perfecting their art in the belief that numbers strongly influence both our behavior and our fate. They have learned that by understanding the meaning of numbers, we can gain greater insight into ourselves. In Numerology: Key to Your Inner Self, world-renowned numerologist Hans Decoz and accomplished writer Tom Monte have teamed together to produce an easy-to-understand guide that introduces the reader to the basic concepts and applications of numerology. Presented here is a technique that relates the major questions of an individual’s life –his talents, challenges, career, and personal growth--with the basic numeric facts of his existence--his birth date and name. The book begins with a fascinating explanation of what numerology is and an intriguing look at the philosophy that lies behind it. It then examines how numerology works, focusing on the numeric meanings of personal names, birth dates, and language in general. Included is a step-by-step guide to calculating your own numbers and interpreting them in chart form.
Author : Peter M. Engelfriet
Publisher : BRILL
Page : 516 pages
File Size : 52,7 Mb
Release : 1998
Category : Mathematics
ISBN : 9004109447
As part of the Jesuits' programme of introduction to European culture, in 1607 the Elements of Euclid (d.300 B C) were translated for the first time into Chinese. The translation of this epoch-making ancient Greek textbook on deductive geometry meant a confrontation of contemporary Chinese and European cultures. This work explores in depth and at various levels the circumstances and mechanisms that shaped the transmission of a key work of science from one language and cultural context onto another. Consequently it offers often surprising insights into the ways of intercultural exchange and misunderstandings.
Author : Ari Ben-Menahem
Publisher : Springer Science & Business Media
Page : 6070 pages
File Size : 52,5 Mb
Release : 2009-03-06
Category : Education
ISBN : 9783540688310
This 5,800-page encyclopedia surveys 100 generations of great thinkers, offering more than 2,000 detailed biographies of scientists, engineers, explorers and inventors who left their mark on the history of science and technology. This six-volume masterwork also includes 380 articles summarizing the time-line of ideas in the leading fields of science, technology, mathematics and philosophy.
Author : Lam Lay Yong,Ang Tian Se
Publisher : World Scientific
Page : 268 pages
File Size : 46,6 Mb
Release : 2004-04-06
Category : Science
ISBN : 9789814483605
' The Hindu–Arabic numeral system (1, 2, 3,…) is one of mankind's greatest achievements and one of its most commonly used inventions. How did it originate? Those who have written about the numeral system have hypothesized that it originated in India; however, there is little evidence to support this claim. This book provides considerable evidence to show that the Hindu–Arabic numeral system, despite its commonly accepted name, has its origins in the Chinese rod numeral system. This system was widely used in China from antiquity till the 16th century. It was used by officials, astronomers, traders and others to perform addition, subtraction, multiplication, division and other arithmetic operations, and also used by mathematicians to develop arithmetic and algebra. Based on this system, numerous mathematical treatises were written. Sun Zi suanjing (The Mathematical Classic of Sun Zi), written around 400 AD, is the earliest existing work to have a description of the rod numerals and their operations. With this treatise as a central reference, the first part of the book discusses the development of arithmetic and the beginnings of algebra in ancient China and, on the basis of this knowledge, advances the thesis that the Hindu–Arabic numeral system has its origins in the rod numeral system. Part Two gives a complete translation of Sun Zi suanjing. In this revised edition, Lam Lay Yong has included an edited text of her plenary lecture entitled “Ancient Chinese Mathematics and Its Influence on World Mathematics”, which was delivered at the International Congress of Mathematicians, Beijing 2002, after she received the prestigious Kenneth O. May Medal conferred by the International Commission on the History of Mathematics. This should serve as a useful and easy-to-comprehend introduction to the book. Contents:The Sun Zi Suanjing (The Mathematical Classic of Sun Zi)Numbers and NumeralsThe Fundamental Operations of ArithmeticThe Common FractionOn Extracting Roots of NumbersTables of MeasuresThe Various ProblemsSocioeconomic Aspects in Sun Zi's ChinaDid the Hindu–Arabic Numeral System have its Origins in the Rod Numeral System? Readership: Historians of science, mathematicians and those interested in numbers. Keywords:Hindu-Arabic Numeral System;Rod Numerical System;China;Arithmetic;AlgebraReviews:“This book continues to be an excellent resource on the history and influence of Chinese mathematics.”Choice “This book not only stimulates the reader's interest in this centuries-old issue concerning the origins of the decimal place-value system, but also provides an excellent introduction to one of the important ancient Chinese mathematical texts for English readers, along with full translation of The Mathematical Classic of Sun Zi … Fleeting Footsteps should be read by anyone interested in the history of Chinese mathematics or in the origins of number systems.”MAA Online Book Review '
Author : Sherman K. Stein
Publisher : Turner Publishing Company
Page : 178 pages
File Size : 42,9 Mb
Release : 2008-05-02
Category : Mathematics
ISBN : 9780470348840
An Easygoing, Highly Entertaining Refresher on all the Math You'll Ever Need. What do two goats and a car have to do with making good decisions? Was the golden ratio used to build the Great Pyramid of Khufu? Can it be that some numbers are unmistakably "hot," while others are inherently "cool"? With his infectiously enthusiastic and engaging style, award-winning teacher and author Sherman K. Stein offers a new appreciation for mathematics, from the beauty of its logic ("as inevitable and memorable as a Mozart symphony") to its amazing power and pervasiveness in our lives. Requiring no math knowledge beyond basic arithmetic and high school geometry, Strength in Numbers is an enlightening introduction to all the math you'll ever need.
