Empty And The Full The Li Ye And The Way Of Mathematics Geometrical Procedures By Section Of Areas
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Empty And The Full The Li Ye And The Way Of Mathematics Geometrical Procedures By Section Of Areas
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Author : Charlotte-v Pollet
language : en
Publisher: World Scientific
Release Date : 2020-03-20
Empty And The Full The Li Ye And The Way Of Mathematics Geometrical Procedures By Section Of Areas written by Charlotte-v Pollet and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-20 with Mathematics categories.
During Song (960 to 1279) and Yuan (1279 to 1368) dynasties, China experienced a peak in high-level algebraic investigation through the works of famous mathematicians such as Qin Jiushao, Zhu Shijie, Yang Hui and Li Ye. Among these is Li Ye's short treatise on a curious ancient geometrical procedure: The Development of Pieces of Areas According to the Collection Augmenting the Ancient Knowledge (Yigu yanduan). The aim of this monography is to contradict traditional scholarship which has long discredited the importance of Li Ye's treatise, considering it a mere popular handbook. The author aims to show that Li Ye's work actually epitomizes a completely new aspect of ancient Chinese mathematics: a crossroad between algebra, geometry, and combinatorics containing elements reminiscent of the Book of Changes (Yi Jing). As well as Li Ye used field measurement as pretext for investigations on quadratic equations and Changes, the present study uses Li Ye's small treatise as pretext for philosophical investigations on link between mathematics and their history. The real topic of the study is the exploration of another expression of proof and generality in Chinese mathematics. This book not only completes the edition of Li Ye's works and presents new features of Chinese mathematics, but also fills a gap in the translation of Chinese mathematics treatises.It is the first book entirely dedicated to the diagrammatic practice of algebra in the history of Chinese mathematics. This practice is more important than expected. While being a monograph, the book is short and detailed enough to be used by students in class. It can also be used as an entry door to the research field of history of Chinese mathematics.
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Author : 洪萬生-主編;英家銘-協編;黃俊瑋、博佳佳、林倉億、琅元-著;于靖、林炎全、單維彰-審訂
language : zh-CN
Publisher: 三民書局股份有限公司
Release Date : 2023-12-22
written by 洪萬生-主編;英家銘-協編;黃俊瑋、博佳佳、林倉億、琅元-著;于靖、林炎全、單維彰-審訂 and has been published by 三民書局股份有限公司 this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-22 with Mathematics categories.
臺灣數學界的《史記》，數學史大師洪萬生心血之作 柏拉圖將五元素連結五種正多面體的圖形， 讓古希臘宇宙論有了最自然的「數學歸宿」。 以四古典元素為靈感，《數之軌跡》將深入探索數學的歷史、發展和奧祕。每本書都是一個獨特的元素，象徵不同的數學主題，並呈現數學在文化、科學和藝術中的深遠影響。 無論你是一位數學愛好者、學生還是對數學歷史感興趣的讀者，《數之軌跡》都將為你打開數學的大門，啟發你對這一古老而美麗的學科有新見解。 ─本書特色─ ●數學史大師洪萬生與HPM團隊共同打造最全面的數學歷史 ●多元歷史題材，對比不同文明之間有關同一知識內容的研究 ●深入探討文化差異，參悟不同命題與證明的數學風格 ─數學的交流與轉化─ 水象徵著數學的流變和傳承，也是最多變的正二十面體 這本書將引領讀者穿越古代，探索數學的演化和傳播，並深入研究古希臘、中國、印度等地區數學家的巧思，這是數學融合和多元文化交流的故事。從印度與其他地區對數學的交流開始，百花齊放、百家爭鳴，讓讀者領略不同文化的數學證明，既有相似之處也有獨特之美。 ─閱讀歷史，體會數學─ 「0123456789」誰發明了這樣的阿拉伯數字？(A)日耳曼人；(B)希臘人；(C)阿拉伯人；(D)印度人；(E)猶太人。方便的阿拉伯數字人人都會用，但你有想過這竟然是印度人發明的嗎？這樣古老的智慧結晶，至今仍然影響著我們的生活。 ─通往數學思維的大門─ 不僅僅是闡述數學歷史，更能幫助讀者理解數學的抽象概念，理解數學背後的邏輯推演。內容探索各種古代人的智慧，無論是否喜歡數學，都能從中發現數學的樂趣以及實用性，對學習數學將會有非常大的幫助！ ─全數推薦─ (依首字筆劃排序) 冬陽｜央廣．名偵探科普男節目主持人 呂治鴻｜數學愛好者、大學數學管理員 、臺灣大學數學所博士候選人 李政憲｜教育部師鐸獎得主、新北市林口國中數學科教師 洪進益｜澎湖縣石泉國小教師、教育部師鐸獎得主 崔茂培｜臺灣大學數學系教授、MRPC科學推展中心數學組主任 張旭 (張舜為)｜張旭無限教室線上課程平台創辦人、數學老師 莊惟棟｜明道大學助理教授、數學博物館館長 彭良禎｜師大附中數學科教師 趙國欽｜臺北市立大學數學系副教授 這是一套貫徹世界各地，古今中外的數學大成。《數之軌跡系列》詳盡地整理過去的故事、將近代的數學用大家可以懂的方式撰寫，讓數學之美持續傳播。 ──數學老師張旭 (張舜為)
Computations And Computing Devices In Mathematics Education Before The Advent Of Electronic Calculators
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Author : Alexei Volkov
language : en
Publisher: Springer
Release Date : 2019-01-11
Computations And Computing Devices In Mathematics Education Before The Advent Of Electronic Calculators written by Alexei Volkov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-11 with Education categories.
This volume traces back the history of interaction between the “computational” or “algorithmic” aspects of elementary mathematics and mathematics education throughout ages. More specifically, the examples of mathematical practices analyzed by the historians of mathematics and mathematics education who authored the chapters in the present collection show that the development (and, in some cases, decline) of counting devices and related computational practices needs to be considered within a particular context to which they arguably belonged, namely, the context of mathematics instruction; in their contributions the authors also explore the role that the instruments played in formation of didactical approaches in various mathematical traditions, stretching from Ancient Mesopotamia to the 20th century Europe and North America.
Encyclopaedia Of The History Of Science Technology And Medicine In Non Westen Cultures
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Author : Helaine Selin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Encyclopaedia Of The History Of Science Technology And Medicine In Non Westen Cultures written by Helaine Selin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with History categories.
The Encyclopaedia fills a gap in both the history of science and in cultural stud ies. Reference works on other cultures tend either to omit science completely or pay little attention to it, and those on the history of science almost always start with the Greeks, with perhaps a mention of the Islamic world as a trans lator of Greek scientific works. The purpose of the Encyclopaedia is to bring together knowledge of many disparate fields in one place and to legitimize the study of other cultures' science. Our aim is not to claim the superiority of other cultures, but to engage in a mutual exchange of ideas. The Western aca demic divisions of science, technology, and medicine have been united in the Encyclopaedia because in ancient cultures these disciplines were connected. This work contributes to redressing the balance in the number of reference works devoted to the study of Western science, and encourages awareness of cultural diversity. The Encyclopaedia is the first compilation of this sort, and it is testimony both to the earlier Eurocentric view of academia as well as to the widened vision of today. There is nothing that crosses disciplinary and geographic boundaries, dealing with both scientific and philosophical issues, to the extent that this work does. xi PERSONAL NOTE FROM THE EDITOR Many years ago I taught African history at a secondary school in Central Africa.
Advanced Calculus
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Author : Lynn Harold Loomis
language : en
Publisher: World Scientific Publishing Company
Release Date : 2014-02-26
Advanced Calculus written by Lynn Harold Loomis and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-26 with Mathematics categories.
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Mathematics For Computer Science
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Author : Eric Lehman
language : en
Publisher:
Release Date : 2017-03-08
Mathematics For Computer Science written by Eric Lehman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-08 with Business & Economics categories.
This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1996
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mechanics, Applied categories.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2005
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Convex Optimization
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Author : Stephen P. Boyd
language : en
Publisher: Cambridge University Press
Release Date : 2004-03-08
Convex Optimization written by Stephen P. Boyd and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-08 with Business & Economics categories.
Convex optimization problems arise frequently in many different fields. This book provides a comprehensive introduction to the subject, and shows in detail how such problems can be solved numerically with great efficiency. The book begins with the basic elements of convex sets and functions, and then describes various classes of convex optimization problems. Duality and approximation techniques are then covered, as are statistical estimation techniques. Various geometrical problems are then presented, and there is detailed discussion of unconstrained and constrained minimization problems, and interior-point methods. The focus of the book is on recognizing convex optimization problems and then finding the most appropriate technique for solving them. It contains many worked examples and homework exercises and will appeal to students, researchers and practitioners in fields such as engineering, computer science, mathematics, statistics, finance and economics.
Teaching School Mathematics
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Author : Willy Servais
language : en
Publisher: Harmondsworth : Penguin
Release Date : 1971
Teaching School Mathematics written by Willy Servais and has been published by Harmondsworth : Penguin this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Education categories.