Archimedes The Center Of Gravity And The First Law Of Mechanics
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Archimedes The Center Of Gravity And The First Law Of Mechanics
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Author : André Koch Torres Assis
language : en
Publisher:
Release Date : 2008
Archimedes The Center Of Gravity And The First Law Of Mechanics written by André Koch Torres Assis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Biography & Autobiography categories.
Archimedes, the Center of Gravity, and the First Law of Mechanics deals with the most fundamental aspects of physics. The book describes the main events in the life of Archimedes and the content of his works. It goes on to discuss a large number of experiments relating to the equilibrium of suspended bodies under the influence of Earth's gravitational force. All experiments are clearly described and performed with simple, inexpensive materials. These experiments lead to a clear conceptual definition of the center of gravity of material bodies and illustrate practical procedures for locating it precisely. The conditions of stable, neutral, and unstable equilibrium are analyzed. Many equilibrium toys and games are described and explained. Historical aspects of the concept are presented, together with the theoretical values of center of gravity obtained by Archimedes. The book also explains how to build and calibrate precise balances and levers. Several experiments are performed leading to a mathematical definition of the center of gravity and the first law of mechanics, also called the law of the lever. Consequences of this law and different explanations of it are described at the end of the book, together with an exhaustive analysis of the works of Euclid and Archimedes.
The First Principles Of Mechanics
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Author : William Whewell
language : en
Publisher:
Release Date : 1832
The First Principles Of Mechanics written by William Whewell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1832 with Mechanics categories.
The Illustrated Method Of Archimedes
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Author : Assis Andreu Koch Torres Magnaghi C P
language : en
Publisher:
Release Date : 2014-05-14
The Illustrated Method Of Archimedes written by Assis Andreu Koch Torres Magnaghi C P and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with SCIENCE categories.
A Brief History Of Mechanical Engineering
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Author : Uday Shanker Dixit
language : en
Publisher: Springer
Release Date : 2016-08-13
A Brief History Of Mechanical Engineering written by Uday Shanker Dixit and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-13 with Technology & Engineering categories.
What is mechanical engineering? What a mechanical engineering does? How did the mechanical engineering change through ages? What is the future of mechanical engineering? This book answers these questions in a lucid manner. It also provides a brief chronological history of landmark events and answers questions such as: When was steam engine invented? Where was first CNC machine developed? When did the era of additive manufacturing start? When did the marriage of mechanical and electronics give birth to discipline of mechatronics? This book informs and create interest on mechanical engineering in the general public and particular in students. It also helps to sensitize the engineering fraternity about the historical aspects of engineering. At the same time, it provides a common sense knowledge of mechanical engineering in a handy manner.
Approximation Methods In Science And Engineering
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Author : Reza N. Jazar
language : en
Publisher: Springer Nature
Release Date : 2020-03-13
Approximation Methods In Science And Engineering written by Reza N. Jazar and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-13 with Technology & Engineering categories.
Approximation Methods in Engineering and Science covers fundamental and advanced topics in three areas: Dimensional Analysis, Continued Fractions, and Stability Analysis of the Mathieu Differential Equation. Throughout the book, a strong emphasis is given to concepts and methods used in everyday calculations. Dimensional analysis is a crucial need for every engineer and scientist to be able to do experiments on scaled models and use the results in real world applications. Knowing that most nonlinear equations have no analytic solution, the power series solution is assumed to be the first approach to derive an approximate solution. However, this book will show the advantages of continued fractions and provides a systematic method to develop better approximate solutions in continued fractions. It also shows the importance of determining stability chart of the Mathieu equation and reviews and compares several approximate methods for that. The book provides the energy-rate method to study the stability of parametric differential equations that generates much better approximate solutions.
The Genius Of Archimedes 23 Centuries Of Influence On Mathematics Science And Engineering
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Author : S. A. Paipetis
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-05-25
The Genius Of Archimedes 23 Centuries Of Influence On Mathematics Science And Engineering written by S. A. Paipetis 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 2010-05-25 with Technology & Engineering categories.
Archimedes is held in high esteem by mathematicians, physicists and engineers as one of the most brilliant scientists of all time. These proceedings contain original, unpublished papers with the primary emphasis on the scientific work of Archimedes and his influence on the fields of mathematics, science, and engineering. There are also papers dealing with archaeological aspects and the myths and legends about Archimedes and about the Archimedes Palimpsest. Papers on the following subjects form part of the book: Hydrostatics (buoyancy, fluid pressure and density, stability of floating bodies); Mechanics (levers, pulleys, centers of gravity, laws of equilibrium); Pycnometry (measurement of volume and density); Integral Calculus (Archimedes as the father of the integral calculus, method of exhaustion, approximation of pi, determination of areas and volumes); Mathematical Physics (Archimedes as the father of mathematical physics, Law of the Lever, Law of Buoyancy, Axiomatization of Physics); History of Mathematics and Mechanics (Archimedes’ influence in antiquity, the middle ages, the Renaissance, and modern times; his influence on Leonado da Vinci, Galileo, Newton, and other giants of science and mathematics); Ancient Machines and Mechanisms (catapults, water screws, iron hands, compound pulleys, planetaria, water clocks, celestial globes, the Antikythera Mechanism); Archimedean Solids (their rediscovery in the Rennaisance and their applications in materials science and chemistry); Archimedean Legends (how stories of golden crowns, eureka moments, naked runs, burning mirrors, steam cannons, etc., have influenced us through the ages, whether true or not); The Cattle Problem (how its 18th century rediscovery inspired the study of equations with integer solutions); Teaching the Ideas of Archimedes (how his life and works have influenced the teaching of science, mathematics, and engineering).
Eureka Man
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Author : Alan Hirshfeld
language : en
Publisher: Bloomsbury Publishing USA
Release Date : 2009-09-08
Eureka Man written by Alan Hirshfeld and has been published by Bloomsbury Publishing USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-08 with Science categories.
Many of us know little about Archimedes other than his "Eureka" exclamation upon discovering that he could immerse an object in a full tub of water and measure the spillage to determine the object's weight. That seemingly simple observation not only proved to King Hieron II of Syracuse that a certain amount of silver had been used in what was supposed to be his solid-gold crown, it established the key principles of buoyancy that govern the flotation of hot-air balloons, ships, and denizens of the sea. Archimedes had a profound impact on the development of mathematics and science: from square roots to irrigation devices; planetariums to the stability of ships; polyhedra to pulleys; number systems to levers; the value of pi to the size of the universe. Yet this same cerebral man developed machines of war so fearsome, they might have sprung from a devil's darkest imagination - indeed, weapons that held at bay the greatest army of antiquity. Ironically, Archimedes' reputation swelled to mythic proportions in the ancient world for his feats of engineering: the hand-cranked irrigation device, commonly known as "Archimedes' screw," and his ingenuous use of levers, pulleys, and ropes to pull, single-handedly, a fully laden ship! His treatises, rediscovered after a thousand years of collective amnesia in Europe, guided nascent thinkers out of the Dark Ages and into the Renaissance. Indeed, Archimedes' cumulative record of achievement-both in breadth and sophistication-places him among the exalted ranks of Aristotle, Leonardo da Vinci, Isaac Newton, and Albert Einstein. Eureka Man brings to life for general readers the genius of Archimedes, offering succinct and understandable explanations of some of his more important discoveries and innovations.
Mathematics Education And History
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Author : Kathleen M. Clark
language : en
Publisher: Springer
Release Date : 2018-03-30
Mathematics Education And History written by Kathleen M. Clark and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-30 with Education categories.
This book includes 18 peer-reviewed papers from nine countries, originally presented in a shorter form at TSG 25 The Role of History of Mathematics in Mathematics Education, as part of ICME-13 during. It also features an introductory chapter, by its co-editors, on the structure and main points of the book with an outline of recent developments in exploring the role of history and epistemology in mathematics education. It serves as a valuable contribution in this domain, by making reports on recent developments in this field available to the international educational community, with a special focus on relevant research results since 2000. The 18 chapters of the book are divided into five interrelated parts that underlie the central issues of research in this domain: 1. Theoretical and conceptual frameworks for integrating history and epistemology in mathematics in mathematics education; 2. Courses and didactical material: Design, implementation and evaluation; 3. Empirical investigations on implementing history and epistemology in mathematics education; 4. Original historical sources in teaching and learning of and about mathematics; 5. History and epistemology of mathematics: Interdisciplinary teaching and sociocultural aspects. This book covers all levels of education, from primary school to tertiary education, with a particular focus on teacher education. Additionally, each chapter refers to and/or is based on empirical research, in order to support, illuminate, clarify and evaluate key issues, main questions, and conjectured theses raised by the authors or in the literature on the basis of historical-epistemological or didactical-cognitive arguments.
Geometrical Solutions Derived From Mechanics
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Author : Archimedes
language : en
Publisher:
Release Date : 1909
Geometrical Solutions Derived From Mechanics written by Archimedes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1909 with Geometry categories.
An Introduction To The History Of Structural Mechanics
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Author : Edoardo Benvenuto
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
An Introduction To The History Of Structural Mechanics written by Edoardo Benvenuto 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 2012-12-06 with Technology & Engineering categories.
This book is one of the finest I have ever read. To write a foreword for it is an honor, difficult to accept. Everyone knows that architects and master masons, long before there were mathematical theories, erected structures of astonishing originality, strength, and beauty. Many of these still stand. Were it not for our now acid atmosphere, we could expect them to stand for centuries more. We admire early architects' visible success in the distribution and balance of thrusts, and we presume that master masons had rules, perhaps held secret, that enabled them to turn architects' bold designs into reality. Everyone knows that rational theories of strength and elasticity, created centuries later, were influenced by the wondrous buildings that men of the sixteenth, seventeenth, and eighteenth centuries saw daily. Theorists know that when, at last, theories began to appear, architects distrusted them, partly because they often disregarded details of importance in actual construction, partly because nobody but a mathematician could understand the aim and func tion of a mathematical theory designed to represent an aspect of nature. This book is the first to show how statics, strength of materials, and elasticity grew alongside existing architecture with its millenial traditions, its host of successes, its ever-renewing styles, and its numerous problems of maintenance and repair. In connection with studies toward repair of the dome of St. Peter's by Poleni in 1743, on p.