[PDF] The Chinese Roots Of Linear Algebra - eBooks Review

The Chinese Roots Of Linear Algebra


The Chinese Roots Of Linear Algebra
DOWNLOAD

Download The Chinese Roots Of Linear Algebra PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get The Chinese Roots Of Linear Algebra book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page



The Chinese Roots Of Linear Algebra


The Chinese Roots Of Linear Algebra
DOWNLOAD
Author : Roger Hart
language : en
Publisher: JHU Press
Release Date : 2011-01-01

The Chinese Roots Of Linear Algebra written by Roger Hart and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-01 with Mathematics categories.


A monumental accomplishment in the history of non-Western mathematics, The Chinese Roots of Linear Algebra explains the fundamentally visual way Chinese mathematicians understood and solved mathematical problems. It argues convincingly that what the West "discovered" in the sixteenth and seventeenth centuries had already been known to the Chinese for 1,000 years. Accomplished historian and Chinese-language scholar Roger Hart examines Nine Chapters of Mathematical Arts—the classic ancient Chinese mathematics text—and the arcane art of fangcheng, one of the most significant branches of mathematics in Imperial China. Practiced between the first and seventeenth centuries by anonymous and most likely illiterate adepts, fangcheng involves manipulating counting rods on a counting board. It is essentially equivalent to the solution of systems of N equations in N unknowns in modern algebra, and its practice, Hart reveals, was visual and algorithmic. Fangcheng practitioners viewed problems in two dimensions as an array of numbers across counting boards. By "cross multiplying" these, they derived solutions of systems of linear equations that are not found in ancient Greek or early European mathematics. Doing so within a column equates to Gaussian elimination, while the same operation among individual entries produces determinantal-style solutions. Mathematicians and historians of mathematics and science will find in The Chinese Roots of Linear Algebra new ways to conceptualize the intellectual development of linear algebra.



A Journey Through The History Of Numerical Linear Algebra


A Journey Through The History Of Numerical Linear Algebra
DOWNLOAD
Author : Claude Brezinski
language : en
Publisher: SIAM
Release Date : 2022-12-06

A Journey Through The History Of Numerical Linear Algebra written by Claude Brezinski and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-06 with Mathematics categories.


This expansive volume describes the history of numerical methods proposed for solving linear algebra problems, from antiquity to the present day. The authors focus on methods for linear systems of equations and eigenvalue problems and describe the interplay between numerical methods and the computing tools available at the time. The second part of the book consists of 78 biographies of important contributors to the field. A Journey through the History of Numerical Linear Algebra will be of special interest to applied mathematicians, especially researchers in numerical linear algebra, people involved in scientific computing, and historians of mathematics.



Imagined Civilizations


Imagined Civilizations
DOWNLOAD
Author : Roger Preston Hart
language : en
Publisher: JHU Press
Release Date : 2013-08-15

Imagined Civilizations written by Roger Preston Hart and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-15 with History categories.


While the Jesuits claimed Xu as a convert, he presented the Jesuits as men from afar who had traveled from the West to China to serve the emperor.



Evidence Based Inquiries In Ethno Stem Research


Evidence Based Inquiries In Ethno Stem Research
DOWNLOAD
Author : Iman C Chahine
language : en
Publisher: IAP
Release Date : 2021-01-01

Evidence Based Inquiries In Ethno Stem Research written by Iman C Chahine and has been published by IAP this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-01 with Education categories.


The purpose of the edited volume is to provide an international lens to examine evidence-based investigations in Ethno-STEM research: Ethno-science, Ethno-technology, Ethno-engineering, and Ethno-mathematics. These themes grew out of multi-national, multi-institutional and multi-disciplinary efforts to preserve as well as epitomize the role that Indigenous Knowledge Systems (IKS) play in cognitive development and its vital contributions to successful and meaningful learning in conventional and non-conventional contexts. Principled by the Embodied, Situated, and Distributed Cognition (ESDC), this innovative book will provide evidence supporting the embeddedness of a thinking-in-acting model as a fundamental framework that explains and supports students’ acquisition of scientific knowledge. So often ‘western’ science curricula are experienced as irrelevant, since it does not take cognizance of the daily experiences and world in which the learner finds himself. This book takes a socio-cultural look at IKS and applies research in neuroscience to make a case its incorporation in the STEM (Science, Technology, Engineering and Mathematics) classroom. We use the Embodied Situated Distributed Cognition (ESDC) Model as conceptual framework in this book. Although the value of IKS is often acknowledged in curriculum policy documents, teachers are most often not trained in incorporating IK in the classroom. Teachers’ lack of the necessary pedagogical content knowledge (PCK) in effectively incorporating IK in their classrooms is a tremendous problem internationally. Another problem is that IK is often perceived as “pseudo-science”, and scholars advocating for the incorporation of IK in the school curriculum often do not contextualize their arguments within a convincing theoretical and conceptual framework.



Empire In Asia A New Global History


Empire In Asia A New Global History
DOWNLOAD
Author : Brian P. Farrell
language : en
Publisher: Bloomsbury Publishing
Release Date : 2018-09-20

Empire In Asia A New Global History written by Brian P. Farrell and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-20 with History categories.


Asia was the principle focus of empire-builders from Alexander and Akbar to Chinggis Khan and Qianlong and yet, until now, there has been no attempt to provide a comprehensive history of empire in the region. Empire in Asia addresses the need for a thorough survey of the topic. This volume covers the long 19th century, commonly seen in terms of 'high imperialism' and the global projection of Western power. This volume explores the dynamic, volatile and often contested processes by which, by the early years of the 20th century, Asian states, space and peoples became deeply integrated into the wider dynamics of global reordering. Drawing on case studies from across Asia, the contributors discuss key themes including ideology, concepts of identity, religion and politics, state building and state formation, the relationships between space, people, and sovereignty, the movements of goods, money, people and ideas, and the influence and impact of conflict and military power. The two volumes of Empire in Asia offer a significant contribution to the theory and practice of empire when considered globally and comparatively and are essential reading for all students and scholars of global, imperial and Asian history.



The Global Middle Ages


The Global Middle Ages
DOWNLOAD
Author : Geraldine Heng
language : en
Publisher: Cambridge University Press
Release Date : 2021-12-16

The Global Middle Ages written by Geraldine Heng 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 2021-12-16 with History categories.


The Global Middle Ages: An Introduction discusses how, when, and why a 'global Middle Ages' was conceptualized; explains and considers the terms that are deployed in studying, teaching, and researching a Global Middle Ages; and critically reflects on the issues that arise in the establishment of this relatively new field of academic endeavor. An Introduction surveys the considerable gains to be had in developing a critical early global studies, and introduces the collaborative work of the Cambridge Elements series in the Global Middle Ages.



The Language Of Mathematics


The Language Of Mathematics
DOWNLOAD
Author : Raúl Rojas
language : en
Publisher: Princeton University Press
Release Date : 2025-01-14

The Language Of Mathematics written by Raúl Rojas and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-14 with Mathematics categories.


A marvelous compendium of mathematical symbols and their fascinating histories Galileo famously wrote that the book of nature is written in mathematical language. The Language of Mathematics is a wide-ranging and beautifully illustrated collection of short, colorful histories of the most commonly used symbols in mathematics, providing readers with an engaging introduction to the origins, evolution, and conceptual meaning of each one. In dozens of lively and informative entries, Raúl Rojas shows how today’s mathematics stands on the shoulders of giants, mathematicians from around the world who developed mathematical notation through centuries of collective effort. He tells the stories of such figures as al-Khwārizmī, René Descartes, Joseph-Louis Lagrange, Carl Friedrich Gauss, Augustin-Louis Cauchy, Karl Weierstrass, Sofia Kovalevskaya, David Hilbert, and Kenneth Iverson. Topics range from numbers and variables to sets and functions, constants, and combinatorics. Rojas describes the mathematical problems associated with different symbols and reveals how mathematical notation has sometimes been an accidental process. The entries are self-contained and can be read in any order, each one examining one or two symbols, their history, and the variants they may have had over time. An essential companion for math enthusiasts, The Language of Mathematics shows how mathematics is a living and evolving entity, forever searching for the best symbolism to express relationships between abstract concepts and to convey meaning.



Why Machines Learn


Why Machines Learn
DOWNLOAD
Author : Anil Ananthaswamy
language : en
Publisher: Penguin Group
Release Date : 2025-08-26

Why Machines Learn written by Anil Ananthaswamy and has been published by Penguin Group this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-26 with Computers categories.


A rich, narrative explanation of the mathematics that has brought us machine learning and the ongoing explosion of artificial intelligence Machine learning systems are making life-altering decisions for us: approving mortgage loans, determining whether a tumor is cancerous, or deciding if someone gets bail. They now influence developments and discoveries in chemistry, biology, and physics—the study of genomes, extrasolar planets, even the intricacies of quantum systems. And all this before large language models such as ChatGPT came on the scene. We are living through a revolution in machine learning-powered AI that shows no signs of slowing down. This technology is based on relatively simple mathematical ideas, some of which go back centuries, including linear algebra and calculus, the stuff of seventeenth- and eighteenth-century mathematics. It took the birth and advancement of computer science and the kindling of 1990s computer chips designed for video games to ignite the explosion of AI that we see today. In this enlightening book, Anil Ananthaswamy explains the fundamental math behind machine learning, while suggesting intriguing links between artificial and natural intelligence. Might the same math underpin them both? As Ananthaswamy resonantly concludes, to make safe and effective use of artificial intelligence, we need to understand its profound capabilities and limitations, the clues to which lie in the math that makes machine learning possible. In a brand-new afterword exclusively in the paperback edition, Ananthaswamy dives into the Transformer architecture that makes large language models like ChatGPT possible and points to groundbreaking future directions enabled by the technology.



China Mission Studies 1550 1800 Bulletin As Of Vol 11 Sino Western Cultural Relations Journal


China Mission Studies 1550 1800 Bulletin As Of Vol 11 Sino Western Cultural Relations Journal
DOWNLOAD
Author : Hartmut Walravens
language : en
Publisher: BoD – Books on Demand
Release Date : 2020-11-02

China Mission Studies 1550 1800 Bulletin As Of Vol 11 Sino Western Cultural Relations Journal written by Hartmut Walravens and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-02 with History categories.


The Sino-Western Cultural Relations Journal of which 38 fascicles were published between 1979 and 2016 is a mine of information on issues, events, articles and reviews on the subject. It attracted at first a very small constituency of experts in this relatively new field of research, at first focusing on the early China Mission, but then widening its scope and addressing the whole area of cultural relations between China and the West. This journal was edited and financed single-handedly by David E. Mungello who is known as a historian and an outstanding Leibniz expert. SWCRJ published contributions in English, German, French and Chinese, thus also supporting the growing interest in the subject in China. The present bibliography provides a complete listing of the contents of the journal and facilitates access by a name and a subject index. It is common knowledge that everything of value may be found on the internet but whoever puts this statement to the test will soon find out that "everything" actually means "something". Therefore the few serious students of the field will welcome the present modest bibliography.



Multicivilizational Exchanges In The Making Of Modern Science


Multicivilizational Exchanges In The Making Of Modern Science
DOWNLOAD
Author : Arun Bala
language : en
Publisher: Springer Nature
Release Date : 2024-09-09

Multicivilizational Exchanges In The Making Of Modern Science written by Arun Bala and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-09 with Social Science categories.


This book explores how and why exchanges across civilizations have come to enrich science today. The dialogical dimension of the history of science has long been marginalized by an excessive concern on why modern science emerged in Europe, but not in any of the advanced civilizations of the East. This focus upon what has been called Joseph Needham's "Grand Comparative Question" ignores his other project, focused on showing how dialogues between civilizations have nurtured science. Needham's "Grand Dialogical Question" – if we may call it that by parity – has directly or indirectly inspired a vast body of literature showing how interconnections of civilizations over the last three thousand years, and exchanges of cosmological, mathematical, geographical, physical, biological and medical technologies, techniques, practices and knowledge, have been woven together to produce current science. Bringing together scholars whose research range across multiple civilizations and disciplines, this book investigates the scope and limits of Needham's dialogical vision for science.