The European Mathematical Awakening

The European Mathematical Awakening

Author: Frank J. Swetz

Publisher: Courier Corporation

Published: 2013-09-26

Total Pages: 266

ISBN-13: 0486310272

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A global survey of the history of mathematics, this collection of 32 articles traces the subject from AD 1000 to 1800. Newly corrected and updated essays introduce fascinating studies by Fibonacci, Descartes, Cardano, Galileo, Pascal, Newton, others.


Math through the Ages: A Gentle History for Teachers and Others Expanded Second Edition

Math through the Ages: A Gentle History for Teachers and Others Expanded Second Edition

Author: William P. Berlinghoff

Publisher: American Mathematical Soc.

Published: 2021-04-29

Total Pages: 331

ISBN-13: 147046456X

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Where did math come from? Who thought up all those algebra symbols, and why? What is the story behind π π? … negative numbers? … the metric system? … quadratic equations? … sine and cosine? … logs? The 30 independent historical sketches in Math through the Ages answer these questions and many others in an informal, easygoing style that is accessible to teachers, students, and anyone who is curious about the history of mathematical ideas. Each sketch includes Questions and Projects to help you learn more about its topic and to see how the main ideas fit into the bigger picture of history. The 30 short stories are preceded by a 58-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. “What to Read Next” and reading suggestions after each sketch provide starting points for readers who want to learn more. This book is ideal for a broad spectrum of audiences, including students in history of mathematics courses at the late high school or early college level, pre-service and in-service teachers, and anyone who just wants to know a little more about the origins of mathematics.


The History of Mathematics: A Source-Based Approach

The History of Mathematics: A Source-Based Approach

Author: June Barrow-Green

Publisher: American Mathematical Society

Published: 2021-12-17

Total Pages: 505

ISBN-13: 1470466767

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The History of Mathematics: A Source-Based Approach is a comprehensive history of the development of mathematics. This, the first volume of the two-volume set, takes readers from the beginning of counting in prehistory to 1600 and the threshold of the discovery of calculus. It is notable for the extensive engagement with original—primary and secondary—source material. The coverage is worldwide, and embraces developments, including education, in Egypt, Mesopotamia, Greece, China, India, the Islamic world and Europe. The emphasis on astronomy and its historical relationship to mathematics is new, and the presentation of every topic is informed by the most recent scholarship in the field. The two-volume set was designed as a textbook for the authors' acclaimed year-long course at the Open University. It is, in addition to being an innovative and insightful textbook, an invaluable resource for students and scholars of the history of mathematics. The authors, each among the most distinguished mathematical historians in the world, have produced over fifty books and earned scholarly and expository prizes from the major mathematical societies of the English-speaking world.


Losing Touch with Nature

Losing Touch with Nature

Author: Mary Thomas Crane

Publisher: JHU Press

Published: 2014-11-24

Total Pages: 242

ISBN-13: 1421415313

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Aristotelian naturalism and its discontents -- Losing touch with nature -- Spenser and the new science -- Shakespeare: New forms of nothing -- Matter and power -- Epilogue: What about Bacon?


Samuel Pepys, Isaac Newton, James Hodgson, and the Beginnings of Secondary School Mathematics

Samuel Pepys, Isaac Newton, James Hodgson, and the Beginnings of Secondary School Mathematics

Author: Nerida F. Ellerton

Publisher: Springer

Published: 2017-03-02

Total Pages: 340

ISBN-13: 3319466577

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This book tells one of the greatest stories in the history of school mathematics. Two of the names in the title—Samuel Pepys and Isaac Newton—need no introduction, and this book draws attention to their special contributions to the history of school mathematics. According to Ellerton and Clements, during the last quarter of the seventeenth century Pepys and Newton were key players in defining what school mathematics beyond arithmetic and elementary geometry might look like. The scene at which most of the action occurred was Christ’s Hospital, which was a school, ostensibly for the poor, in central London. The Royal Mathematical School (RMS) was established at Christ’s Hospital in 1673. It was the less well-known James Hodgson, a fine mathematician and RMS master between 1709 and 1755, who demonstrated that topics such as logarithms, plane and spherical trigonometry, and the application of these to navigation, might systematically and successfully be taught to 12- to 16-year-old school children. From a wider history-of-school-education perspective, this book tells how the world’s first secondary-school mathematics program was created and how, slowly but surely, what was being achieved at RMS began to influence school mathematics in other parts of Great Britain, Europe, and America. The book has been written from the perspective of the history of school mathematics. Ellerton and Clements’s analyses of pertinent literature and of archival data, and their interpretations of those analyses, have led them to conclude that RMS was the first major school in the world to teach mathematics-beyond-arithmetic, on a systematic basis, to students aged between 12 and 16. Throughout the book, Ellerton and Clements examine issues through the lens of a lag-time theoretical perspective. From a historiographical perspective, this book emphasizes how the history of RMS can be portrayed in very different ways, depending on the vantage point from which the history is written. The authors write from the vantage point of international developments in school mathematics education and, therefore, their history of RMS differs from all other histories of RMS, most of which were written from the perspective of the history of Christ’s Hospital.


Curves for the Mathematically Curious

Curves for the Mathematically Curious

Author: Julian Havil

Publisher: Princeton University Press

Published: 2021-11-02

Total Pages: 280

ISBN-13: 0691206139

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Ten amazing curves personally selected by one of today's most important math writers Curves for the Mathematically Curious is a thoughtfully curated collection of ten mathematical curves, selected by Julian Havil for their significance, mathematical interest, and beauty. Each chapter gives an account of the history and definition of one curve, providing a glimpse into the elegant and often surprising mathematics involved in its creation and evolution. In telling the ten stories, Havil introduces many mathematicians and other innovators, some whose fame has withstood the passing of years and others who have slipped into comparative obscurity. You will meet Pierre Bézier, who is known for his ubiquitous and eponymous curves, and Adolphe Quetelet, who trumpeted the ubiquity of the normal curve but whose name now hides behind the modern body mass index. These and other ingenious thinkers engaged with the challenges, incongruities, and insights to be found in these remarkable curves—and now you can share in this adventure. Curves for the Mathematically Curious is a rigorous and enriching mathematical experience for anyone interested in curves, and the book is designed so that readers who choose can follow the details with pencil and paper. Every curve has a story worth telling.


Awakening Divinity

Awakening Divinity

Author: Vejai Randy Etwaroo

Publisher: Vejai Randy Etwaroo

Published:

Total Pages: 266

ISBN-13:

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Awakеning Divinity:" Unlеashing Thе Powеr Of Hinduism" takеs you on a transformativе journеy through thе dеpths of Hinduism's profound tеachings, rituals, philosophy, and cultural hеritagе. Explorе thе 25 captivating chaptеrs that dеlvе into еvеry facеt of this anciеnt tradition, from thе sacrеd scripturеs and philosophical systеms to thе divеrsе practicеs, social issuеs, arts, sciеncеs, and thеir rеlеvancе in thе modеrn world. Dеlvе into thе wisdom of thе Vеdas, Upanishads, and othеr anciеnt tеxts that form thе foundation of Hindu philosophy. Uncovеr thе sеcrеts of thе Trimurti, thе divinе trinity of Brahma, Vishnu, and Shiva, and discovеr thеir significancе in thе cosmic ordеr. Explorе thе powеrful prеsеncе of goddеssеs and othеr dеitiеs in Hinduism and thеir еmbodimеnt of various aspеcts of divinity. Immеrsе yoursеlf in thе captivating storiеs of thе Ramayana and Mahabharata, and uncovеr thе symbolism and tеachings еmbеddеd within thеsе еpic talеs. Discovеr thе rich symbolism and tеachings found in othеr mythological storiеs that havе shapеd thе Hindu worldviеw for cеnturiеs. Witnеss thе rolе of rituals, fеstivals, and lifе-cyclе cеrеmoniеs in Hinduism and undеrstand thеir significancе in spiritual practicе and pеrsonal transformation. Expеriеncе thе powеr of yoga and mеditation as pathways to sеlf-rеalization and innеr awakеning. Gain insight into thе major fеstivals that cеlеbratе thе divеrsity and spiritual еssеncе of Hinduism. Explorе thе social, cultural, and еnvironmеntal dimеnsions of Hinduism, including thе castе systеm, womеn's еmpowеrmеnt, and thе rеligion's influеncе on art, litеraturе, music, and architеcturе. Witnеss thе intеgration of Hinduism with tеchnology in thе digital agе and its impact on spiritual practicе, еducation, and global outrеach. Engagе with thе profound philosophical systеms of Hinduism, from Advaita Vеdanta's non-dualistic pеrspеctivе to thе dualism of Samkhya. Gain an undеrstanding of karma and rеincarnation and thеir implications for pеrsonal rеsponsibility and spiritual еvolution. Witnеss thе dynamic intеrplay bеtwееn Hinduism and othеr major rеligions, such as Buddhism, Jainism, and Sikhism, and еxplorе thе principlеs of intеrfaith dialoguе and harmony. Discovеr thе significancе of dеvotion (bhakti) as a spiritual path and lеarn about thе tеachings of prominеnt bhakti saints throughout history. Gain insights into thе challеngеs and opportunitiеs that Hinduism faces in thе modеrn world, from adapting to technological advancеmеnts to addrеssing social issues and promoting sustainability. Explorе thе еnduring rеlеvancе of Hindu philosophy in providing guidancе, еthical principlеs, and a holistic worldviеw in a rapidly changing society. Awakеning Divinity: "Unlеashing Thе Powеr Of Hinduism" is a comprеhеnsivе еxploration that cеlеbratеs thе timеlеss wisdom, spiritual dеpth, and cultural richnеss of Hinduism. Whеthеr you arе a sееkеr on a spiritual journеy, a scholar of rеligion, or simply curious about thе profound tеachings of Hinduism, this book will immеrsе you in a transformativе еxpеriеncе that unlocks thе powеr of divinity within you.


Zero and Pi

Zero and Pi

Author: Amalkumar Mukhopadhyay

Publisher: Springer Nature

Published: 2023

Total Pages: 231

ISBN-13: 9819930723

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Zusammenfassung: The book, divided into two major parts, discusses the evolution of the concept and symbols of zero and the history of pi. Both the topics are discussed from the Neolithic Age to the nineteenth century. The book also clears the assumption that Johann Heinrich Lambert (AD 1761) only invented the irrationality of pi by crediting Lambert jointly with André Marie Legendre (AD 1794). Part 1, consisting of six stages spread in six chapters, meets a challenge to the authors as eminent scholars of the history of mathematics have diverse opinions based on conjectures. This part primarily discusses how the symbol O, in the Vedic religious practices, considered a replica of the universe prescribed for meditation on the unknown Brahman (conceived of as the space supreme in the Upanishads), was later transcended to the symbol of an unknown quantity in mathematics along with a dot for zero in an arena of atheism. It also highlights how the zero notation and the decimal system of Indian numerals embellished with the algebraic thoughts of Brahmagupta passed on to China and Europe via Arabia. Topics in this part have traced the development from the origin to the final form as seen today after the western practice and try to put an end to the long-standing debate over history. Appendices contain the Sanskrit verses (transliterated with meanings into English) along with the essential mathematical deduction referred to in the body of the part to help the reader to have a better understanding. Part 2 speaks of a novel idea of unveiling the nature of pi interwoven with threads of historical ups and downs in the world scenario. This part, containing five chapters, collects all available up-to-date data in every field of history to make the presentation complete in all respects. This part discusses the origin of the definition of pi as the rim of a wheel is thrice its diameter at the Indus Valley in the fourth millennium BC. This part also discusses the enlightenment of China in circle-squaring (classical method), Indian mathematics with astronomical knowledge along the Buddhist channel, and India's discovering circumference/diameter as a non-Euclidean number


The Rainbow of Mathematics

The Rainbow of Mathematics

Author: Ivor Grattan-Guinness

Publisher: W. W. Norton & Company

Published: 2000

Total Pages: 836

ISBN-13: 9780393320305

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"For Ivor Grattan-Guinness . . . the story of how numbers were invented and harnessed is a passionate, physical saga."--"The New Yorker." The author charts the growth of mathematics through the centuries and describes the evolution of arithmetic and geometry, trigonometry, and other disciplines.


The Development of Mathematics

The Development of Mathematics

Author: E. T. Bell

Publisher: Courier Corporation

Published: 2012-09-11

Total Pages: 657

ISBN-13: 0486152286

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Time-honored study by a prominent scholar of mathematics traces decisive epochs from the evolution of mathematical ideas in ancient Egypt and Babylonia to major breakthroughs in the 19th and 20th centuries. 1945 edition.