Nova Stereometria Dolorium Vinariorum New Solid Geometry Of Wine Barrels

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Nova Stereometria Dolorium Vinariorum / New Solid Geometry of Wine Barrels

Author : Johannes Kepler
Publisher :
ISBN 13 : 9782251448329
Total Pages : 344 pages
Book Rating : 4.4/5 (483 download)

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Book Synopsis Nova Stereometria Dolorium Vinariorum / New Solid Geometry of Wine Barrels by : Johannes Kepler

Download or read book Nova Stereometria Dolorium Vinariorum / New Solid Geometry of Wine Barrels written by Johannes Kepler and published by . This book was released on 2018-05-17 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Johannes Kepler (Weil der Stadt, 1571-Regensburg, 1630) is the famous astronomer and mathematician who discovered the three planetary laws named after him. In 1615 he published the Nova stereometria doliorum vinariorum // New solid geometry of wine barrels, his most important mathematical monograph. It made him a precursor of infinitesimal mathematics. He himself told the reader in the dedication to his two patrons that his second marriage caused him to write this mathematical treatise. When he stocked up with wine barrels in his capacity as head of a new family he was astonished at the way in which the seller used the gauging rod. The man explored all wine barrels with one and the same rod indifferently without paying heed to the shape, and without ratiocination or calculation.Hence Kepler felt obliged to try to lay down, according to geometrical laws, a new foundation for the mathematical certainty of this measurement and to bring to light its fundamentals, if there should be any. To that end he began with a new interpretation of Archimedes's results in plane and solid geometry that was based on indivisibles considered as infinitely small quantities. He could not know that his Greek predecessor had used the same method in his letter to Eratosthenes, known as Approach related to mechanical theorems, rediscovered by Johan L. Heiberg in 1906.Yet, Kepler surpassed the results of his model by his own results. He investigated the volumes of surfaces of rotation like the volumes of apples, lemons, and spindles, that is, he investigated the solid geometry of figures that are closest to conoids and spheroids. But Kepler's treatise is by no means restricted to its role in the prehistory of the calculus. The second part is full of non-trivial, new results concerning the special relations between cylinders and so-called conjugate conical frustums. He demonstrated that the Austrian barrel has the largest volume among all barrels with the same gauging length. Thus the third part explains the use of the gauging rod.The volume presents, along with the original Latin text, the first complete translation of Kepler's monograph into any modern European language, in this case into English. The comprehensive introduction includes a survey of Kepler's life and works and explains the main ideas, methods, and results of this mathematical masterpiece.

Mathematics Education in the Age of Artificial Intelligence

Author : Philippe R. Richard
Publisher : Springer Nature
ISBN 13 : 3030869091
Total Pages : 464 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Mathematics Education in the Age of Artificial Intelligence by : Philippe R. Richard

Download or read book Mathematics Education in the Age of Artificial Intelligence written by Philippe R. Richard and published by Springer Nature. This book was released on 2022-03-09 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the contribution of artificial intelligence for mathematics education. It provides concrete ideas supported by mathematical work obtained through dynamic international collaboration, and discusses the flourishing of new mathematics in the contemporary world from a sustainable development perspective. Over the past thirty years, artificial intelligence has gradually infiltrated all facets of society. When it is deployed in interaction with the human designer or user, AI certainly raises new ethical questions. But as soon as it aims to augment intelligence in a kind of human-machine partnership, it goes to the heart of knowledge development and the very performance of work. The proposed themes and the sections of the book address original issues relating to the creation of AI milieus to work on mathematics, to the AI-supported learning of mathematics and to the coordination of « usual » paper/pencil techniques and « new » AI-aided educational working spaces. The authors of the book and the coordinators of each section are all established specialists in mathematics didactics, mathematics and computer science. In summary, this book is a must-read for everyone interested in the teaching and learning of mathematics, and it concerns the interaction between the human and the machine in both directions. It contains ideas, questions and inspiration that invite to take up the challenge of Artificial Intelligence contributing to Mathematical Human Learning.

Epitome of Copernican Astronomy and Harmonies of the World

Author : Johannes Kepler
Publisher : Prometheus Books
ISBN 13 : 1615921974
Total Pages : 260 pages
Book Rating : 4.6/5 (159 download)

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Book Synopsis Epitome of Copernican Astronomy and Harmonies of the World by : Johannes Kepler

Download or read book Epitome of Copernican Astronomy and Harmonies of the World written by Johannes Kepler and published by Prometheus Books. This book was released on 2012-07-03 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: The brilliant German mathematician Johannes Kepler (1571-1630), one of the founders of modern astronomy, revolutionized the Copernican heliocentric theory of the universe with his three laws of motion: that the planets move not in circular but elliptical orbits, that their speed is greatest when nearest the sun, and that the sun and planets form an integrated system. This volume contains two of his most important works: The Epitome of Copernican Astronomy (books 4 and 5 of which are translated here) is a textbook of Copernican science, remarkable for the prominence given to physical astronomy and for the extension to the Jovian system of the laws recently discovered to regulate the motions of the Planets. Harmonies of the World (book 5 of which is translated here) expounds an elaborate system of celestial harmonies depending on the varying velocities of the planets.

How Round is Your Circle?

Author : John Bryant
Publisher : Princeton University Press
ISBN 13 : 9780691131184
Total Pages : 352 pages
Book Rating : 4.1/5 (311 download)

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Book Synopsis How Round is Your Circle? by : John Bryant

Download or read book How Round is Your Circle? written by John Bryant and published by Princeton University Press. This book was released on 2008 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'How Round is your Circle?' includes chapters on: hard lines; how to draw a straight line; four-bar variations; building the world's first rules; dividing the circle; falling aprat; follow my leader; all approximations are rational; all a matter of balance; and finding some equilibrium.

The Six-Cornered Snowflake

Author : Johannes Kepler
Publisher : Paul Dry Books
ISBN 13 : 1589882857
Total Pages : 160 pages
Book Rating : 4.5/5 (898 download)

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Book Synopsis The Six-Cornered Snowflake by : Johannes Kepler

Download or read book The Six-Cornered Snowflake written by Johannes Kepler and published by Paul Dry Books. This book was released on 2010-01-01 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In 1611, Kepler wrote an essay wondering why snowflakes always had perfect, sixfold symmetry. It's a simple enough question, but one that no one had ever asked before and one that couldn't actually be answered for another three centuries. Still, in trying to work out an answer, Kepler raised some fascinating questions about physics, math, and biology, and now you can watch in wonder as a great scientific genius unleashes the full force of his intellect on a seemingly trivial question, complete with new illustrations and essays to put it all in perspective."—io9, from their list "10 Amazing Science Books That Reveal The Wonders Of The Universe" When snow began to fall while he was walking across the Charles Bridge in Prague late in 1610, the eminent astronomer Johannes Kepler asked himself the following question: Why do snowflakes, when they first fall, and before they are entangled into larger clumps, always come down with six corners and with six radii tufted like feathers? In his effort to answer this charming and never-before-asked question about snowflakes, Kepler delves into the nature of beehives, peapods, pomegranates, five-petaled flowers, the spiral shape of the snail's shell, and the formative power of nature itself. While he did not answer his original question—it remained a mystery for another three hundred years—he did find an occasion for deep and playful thought. "A most suitable book for any and all during the winter and holiday seasons is a reissue of a holiday present by the great mathematician and astronomer Johannes Kepler…Even the endnotes in this wonderful little book are interesting and educationally fun to read."—Jay Pasachoff, The Key Reporter —New English translation by Jacques Bromberg —Latin text on facing pages —An essay, "The Delights of a Roving Mind" by Owen Gingerich —An essay, "On The Six-Cornered Snowflake" by Guillermo Bleichmar —Snowflake illustrations by Capi Corrales Rodriganez —John Frederick Nims' poem "The Six-Cornered Snowflake" —Notes by Jacques Bromberg and Guillermo Bleichmar

History of the Planetary Systems from Thales to Kepler

Author : John Louis Emil Dreyer
Publisher :
ISBN 13 :
Total Pages : 446 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis History of the Planetary Systems from Thales to Kepler by : John Louis Emil Dreyer

Download or read book History of the Planetary Systems from Thales to Kepler written by John Louis Emil Dreyer and published by . This book was released on 1906 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Somnium

Author : Johannes Kepler
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781981810031
Total Pages : 52 pages
Book Rating : 4.8/5 (1 download)

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Book Synopsis Somnium by : Johannes Kepler

Download or read book Somnium written by Johannes Kepler and published by Createspace Independent Publishing Platform. This book was released on 2017-12-18 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: Somnium is a Latin word for Dream. This novel was written by Johannes Kepler in 1608, in a time when a trip to the ethereal regions of the moon would be possible only with the assistance of supernatural forces. Historians consider this lunar exploration a remarkable and revolutionary text, and one of the most provocative and innovative of Kepler's works. Great authors/scientists such as Isaac Asimov and Carl Sagan suggested it as the first science fiction story. If it is not, we can at least consider it as the first serious scientific work about lunar astronomy.

A History of Japanese Mathematics

Author : David Eugene Smith
Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis A History of Japanese Mathematics by : David Eugene Smith

Download or read book A History of Japanese Mathematics written by David Eugene Smith and published by . This book was released on 1914 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Origins of Infinitesimal Calculus

Author : Margaret E. Baron
Publisher : Elsevier
ISBN 13 : 1483280926
Total Pages : 313 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis The Origins of Infinitesimal Calculus by : Margaret E. Baron

Download or read book The Origins of Infinitesimal Calculus written by Margaret E. Baron and published by Elsevier. This book was released on 2014-05-09 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Origins of Infinitesimal Calculus focuses on the evolution, development, and applications of infinitesimal calculus. The publication first ponders on Greek mathematics, transition to Western Europe, and some center of gravity determinations in the later 16th century. Discussions focus on the growth of kinematics in the West, latitude of forms, influence of Aristotle, axiomatization of Greek mathematics, theory of proportion and means, method of exhaustion, discovery method of Archimedes, and curves, normals, tangents, and curvature. The manuscript then examines infinitesimals and indivisibles in the early 17th century and further advances in France and Italy. Topics include the link between differential and integral processes, concept of tangent, first investigations of the cycloid, and arithmetization of integration methods. The book reviews the infinitesimal methods in England and Low Countries and rectification of arcs. The publication is a vital source of information for historians, mathematicians, and researchers interested in infinitesimal calculus.

The Legacy of Felix Klein

Author : Gert Schubring
Publisher :
ISBN 13 : 9781013271892
Total Pages : 224 pages
Book Rating : 4.2/5 (718 download)

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Book Synopsis The Legacy of Felix Klein by : Gert Schubring

Download or read book The Legacy of Felix Klein written by Gert Schubring and published by . This book was released on 2020-10-08 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book provides an overview of Felix Klein's ideas, highlighting developments in university teaching and school mathematics related to Klein's thoughts, stemming from the last century. It discusses the meaning, importance and the legacy of Klein's ideas today and in the future, within an international, global context. Presenting extended versions of the talks at the Thematic Afternoon at ICME-13, the book shows that many of Klein's ideas can be reinterpreted in the context of the current situation, and offers tips and advice for dealing with current problems in teacher education and teaching mathematics in secondary schools. It proves that old ideas are timeless, but that it takes competent, committed and assertive individuals to bring these ideas to life. Throughout his professional life, Felix Klein emphasised the importance of reflecting upon mathematics teaching and learning from both a mathematical and a psychological or educational point of view. He also strongly promoted the modernisation of mathematics in the classroom, and developed ideas on university lectures for student teachers, which he later consolidated at the beginning of the last century in the three books on elementary mathematics from a higher standpoint. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.

International Perspectives on the Teaching and Learning of Geometry in Secondary Schools

Author : Patricio Herbst
Publisher : Springer
ISBN 13 : 331977476X
Total Pages : 383 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis International Perspectives on the Teaching and Learning of Geometry in Secondary Schools by : Patricio Herbst

Download or read book International Perspectives on the Teaching and Learning of Geometry in Secondary Schools written by Patricio Herbst and published by Springer. This book was released on 2018-04-27 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents current perspectives on theoretical and empirical issues related to the teaching and learning of geometry at secondary schools. It contains chapters contributing to three main areas. A first set of chapters examines mathematical, epistemological, and curricular perspectives. A second set of chapters presents studies on geometry instruction and teacher knowledge, and a third set of chapters offers studies on geometry thinking and learning. Specific research topics addressed also include teaching practice, learning trajectories, learning difficulties, technological resources, instructional design, assessments, textbook analyses, and teacher education in geometry. Geometry remains an essential and critical topic in school mathematics. As they learn geometry, students develop essential mathematical thinking and visualization skills and learn a language that helps them relate to and interact with the physical world. Geometry has traditionally been included as a subject of study in secondary mathematics curricula, but it has also featured as a resource in out-of-school problem solving, and has been connected to various human activities such as sports, games, and artwork. Furthermore, geometry often plays a role in teacher preparation, undergraduate mathematics, and at the workplace. New technologies, including dynamic geometry software, computer-assisted design software, and geometric positioning systems, have provided more resources for teachers to design environments and tasks in which students can learn and use geometry. In this context, research on the teaching and learning of geometry will continue to be a key element on the research agendas of mathematics educators, as researchers continue to look for ways to enhance student learning and to understand student thinking and teachers’ decision making.

Archimedis Opera omnia

Author : Archimedes
Publisher : Рипол Классик
ISBN 13 : 5873234825
Total Pages : 479 pages
Book Rating : 4.8/5 (732 download)

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Book Synopsis Archimedis Opera omnia by : Archimedes

Download or read book Archimedis Opera omnia written by Archimedes and published by Рипол Классик. This book was released on 1880 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The First Principles of Arithmetic and Geometry: Explained in a Series of Familiar Dialogues, Etc

Author : Dionysius Lardner
Publisher :
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.0/5 (25 download)

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Book Synopsis The First Principles of Arithmetic and Geometry: Explained in a Series of Familiar Dialogues, Etc by : Dionysius Lardner

Download or read book The First Principles of Arithmetic and Geometry: Explained in a Series of Familiar Dialogues, Etc written by Dionysius Lardner and published by . This book was released on 1835 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Theologies

Author : David Albertson
Publisher :
ISBN 13 : 0199989737
Total Pages : 513 pages
Book Rating : 4.1/5 (999 download)

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Book Synopsis Mathematical Theologies by : David Albertson

Download or read book Mathematical Theologies written by David Albertson and published by . This book was released on 2014 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: The writings of theologians Thierry of Chartres (d. 1157) and Nicholas of Cusa (d. 1464) represent a lost history of momentous encounters between Christianity and Pythagorean ideas before the Renaissance. Their robust Christian Neopythagoreanism reconceived the Trinity and the Incarnation within the framework of Greek number theory, challenging our contemporary assumptions about the relation of religion and modern science. David Albertson surveys the slow formation of theologies of the divine One from the Old Academy through ancient Neoplatonism into the Middle Ages. Against this backdrop, Thierry of Chartres's writings stand out as the first authentic retrieval of Neopythagoreanism within western Christianity. By reading Boethius and Augustine against the grain, Thierry reactivated a suppressed potential in ancient Christian traditions that harmonized the divine Word with notions of divine Number. Despite achieving fame during his lifetime, Thierry's ideas remained well outside the medieval mainstream. Three centuries later Nicholas of Cusa rediscovered anonymous fragments of Thierry and his medieval readers, and drew on them liberally in his early works. Yet tensions among this collection of sources forced Cusanus to reconcile their competing understandings of Word and Number. Over several decades Nicholas eventually learned how to articulate traditional Christian doctrines within a fully mathematized cosmology-anticipating the situation of modern Christian thought after the seventeenth century. Mathematical Theologies skillfully guides readers through the newest scholarship on Pythagoreanism, the school of Chartres, and Cusanus, while revising some of the categories that have separated those fields in the past.

Minor Works

Author : Nicolaus Copernicus
Publisher :
ISBN 13 :
Total Pages : 404 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Minor Works by : Nicolaus Copernicus

Download or read book Minor Works written by Nicolaus Copernicus and published by . This book was released on 1992 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1973, on the 500th anniversary of Copernicus's birth, the Polish Academy of Sciences announced its intention to publish all of the astronomer's extant works, both in their original Latin and in modern translations. Here, available for the first time in softcover, are Edward Rosen's authoritative English translations and commentaries.

Selected Regular Lectures from the 12th International Congress on Mathematical Education

Author : Sung Je Cho
Publisher : Springer
ISBN 13 : 3319171879
Total Pages : 917 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Selected Regular Lectures from the 12th International Congress on Mathematical Education by : Sung Je Cho

Download or read book Selected Regular Lectures from the 12th International Congress on Mathematical Education written by Sung Je Cho and published by Springer. This book was released on 2015-07-16 with total page 917 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises the full selected Regular Lectures from the Proceedings of the 12th International Congress on Mathematical Education (ICME-12), which was held at COEX in Seoul, Korea, from July 8th to 15th, 2012. ICME-12 brought together 4700 experts from 100 countries, working to understand all of the intellectual and attitudinal challenges in the subject of mathematics education as a multidisciplinary research and practice. These selected Regular Lectures present the work of fifty-one prominent mathematics educators from all over the globe. The Lectures cover a wide spectrum of topics, themes and issues and aim to give direction to future research towards educational improvement in the teaching and learning of mathematics education. This book is of particular interest to researchers, teachers and curriculum developers in mathematics education.

Cabinet Cyclopedia

Author : Dionysius Lardner
Publisher : Wentworth Press
ISBN 13 : 9780530206240
Total Pages : 376 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Cabinet Cyclopedia by : Dionysius Lardner

Download or read book Cabinet Cyclopedia written by Dionysius Lardner and published by Wentworth Press. This book was released on 2019-03-06 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.