Magnificent Principia

Magnificent Principia PDF Author: Colin Pask
Publisher: Prometheus Books
ISBN: 1616147466
Category : Science
Languages : en
Pages : 530

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Book Description
Nobel laureate Steven Weinberg has written that "all that has happened since 1687 is a gloss on the Principia." Now you too can appreciate the significance of this stellar work, regarded by many as the greatest scientific contribution of all time. Despite its dazzling reputation, Isaac Newton's Philosophiae Naturalis Principia Mathematica, or simply the Principia, remains a mystery for many people. Few of even the most intellectually curious readers, including professional scientists and mathematicians, have actually looked in the Principia or appreciate its contents. Mathematician Pask seeks to remedy this deficit in this accessible guided tour through Newton's masterpiece. Using the final edition of the Principia, Pask clearly demonstrates how it sets out Newton's (and now our) approach to science; how the framework of classical mechanics is established; how terrestrial phenomena like the tides and projectile motion are explained; and how we can understand the dynamics of the solar system and the paths of comets. He also includes scene-setting chapters about Newton himself and scientific developments in his time, as well as chapters about the reception and influence of the Principia up to the present day.

Magnificent Principia

Magnificent Principia PDF Author: Colin Pask
Publisher: Prometheus Books
ISBN: 1616147466
Category : Science
Languages : en
Pages : 530

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Book Description
Nobel laureate Steven Weinberg has written that "all that has happened since 1687 is a gloss on the Principia." Now you too can appreciate the significance of this stellar work, regarded by many as the greatest scientific contribution of all time. Despite its dazzling reputation, Isaac Newton's Philosophiae Naturalis Principia Mathematica, or simply the Principia, remains a mystery for many people. Few of even the most intellectually curious readers, including professional scientists and mathematicians, have actually looked in the Principia or appreciate its contents. Mathematician Pask seeks to remedy this deficit in this accessible guided tour through Newton's masterpiece. Using the final edition of the Principia, Pask clearly demonstrates how it sets out Newton's (and now our) approach to science; how the framework of classical mechanics is established; how terrestrial phenomena like the tides and projectile motion are explained; and how we can understand the dynamics of the solar system and the paths of comets. He also includes scene-setting chapters about Newton himself and scientific developments in his time, as well as chapters about the reception and influence of the Principia up to the present day.

Newton's Principia

Newton's Principia PDF Author: Isaac Newton
Publisher: Legare Street Press
ISBN: 9781015496712
Category : Education
Languages : en
Pages : 0

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Book Description
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 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. 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.

Essays on the Foundations of Mathematics and Logic

Essays on the Foundations of Mathematics and Logic PDF Author: Giandomenico Sica
Publisher: Polimetrica s.a.s.
ISBN: 8876990143
Category : Mathematics
Languages : en
Pages : 353

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Book Description


Astronomy

Astronomy PDF Author: Michael Zeilik
Publisher: Cambridge University Press
ISBN: 9780521800907
Category : Nature
Languages : en
Pages : 586

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Book Description
The ninth edition of this successful textbook describes the full range of the astronomical universe and how astronomers think about the cosmos.

Newton's Principia for the Common Reader

Newton's Principia for the Common Reader PDF Author: Subrahmanyan Chandrasekhar
Publisher: Oxford University Press
ISBN: 019852675X
Category : Celestial mechanics
Languages : en
Pages : 621

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Book Description
Newton's Philosophiae Naturalis Principia Mathematica provides a coherent and deductive presentation of his discovery of the universal law of gravitation. It is very much more than a demonstration that 'to us it is enough that gravity really does exist and act according to the laws which wehave explained and abundantly serves to account for all the motions of the celestial bodies and the sea'. It is important to us as a model of all mathematical physics.Representing a decade's work from a distinguished physicist, this is the first comprehensive analysis of Newton's Principia without recourse to secondary sources. Professor Chandrasekhar analyses some 150 propositions which form a direct chain leading to Newton's formulation of his universal law ofgravitation. In each case, Newton's proofs are arranged in a linear sequence of equations and arguments, avoiding the need to unravel the necessarily convoluted style of Newton's connected prose. In almost every case, a modern version of the proofs is given to bring into sharp focus the beauty,clarity, and breath-taking economy of Newton's methods.Subrahmanyan Chandrasekhar is one of the most reknowned scientists of the twentieth century, whose career spanned over 60 years. Born in India, educated at the University of Cambridge in England, he served as Emeritus Morton D. Hull Distinguished Service Professor of Theoretical Astrophysics at theUniversity of Chicago, where he has was based from 1937 until his death in 1996. His early research into the evolution of stars is now a cornerstone of modern astrophysics, and earned him the Nobel Prize for Physics in 1983. Later work into gravitational interactions between stars, the properties offluids, magnetic fields, equilibrium ellipsoids, and black holes has earned him awards throughout the world, including the Gold Medal from the Royal Astronomical Society in London (1953), the National Medal of Science in the United States (1966), and the Copley Medal from the Royal Society (1984).His many publications include Radiative transfer (1950), Hydrodynamic and hydromagnetic stability (1961), and The mathematical theory of black holes (1983), each being praised for its breadth and clarity. Newton's Principia for the common reader is the result of Professor Chandrasekhar's profoundadmiration for a scientist whose work he believed is unsurpassed, and unsurpassable.

Isaac Newton and Natural Philosophy

Isaac Newton and Natural Philosophy PDF Author: Niccolò Guicciardini
Publisher: Reaktion Books
ISBN: 1780239483
Category : Biography & Autobiography
Languages : en
Pages : 269

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Book Description
Isaac Newton is one of the greatest scientists in history, yet the spectrum of his interests was much broader than that of most contemporary scientists. In fact, Newton would have defined himself not as a scientist, but as a natural philosopher. He was deeply involved in alchemical, religious, and biblical studies, and in the later part of his life he played a prominent role in British politics, economics, and the promotion of scientific research. Newton’s pivotal work Philosophiæ Naturalis Principia Mathematica, which sets out his laws of universal gravitation and motion, is regarded as one of the most important works in the history of science. Niccolò Guicciardini’s enlightening biography offers an accessible introduction both to Newton’s celebrated research in mathematics, optics, mechanics, and astronomy and to how Newton viewed these scientific fields in relation to his quest for the deepest secrets of the universe, matter theory and religion. Guicciardini sets Newton the natural philosopher in the troubled context of the religious and political debates ongoing during Newton’s life, a life spanning the English Civil Wars, the Restoration, the Glorious Revolution, and the Hanoverian succession. Incorporating the latest Newtonian scholarship, this fast-paced biography broadens our perception of both this iconic figure and the great scientific revolution of the early modern period.

Seduced by Logic

Seduced by Logic PDF Author: Robyn Arianrhod
Publisher: Oxford University Press
ISBN: 0199931615
Category : Biography & Autobiography
Languages : en
Pages : 345

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Book Description
Du Chatelet translated Newton's Principia into French (it is still the accepted translation), and Somerville (100 years later) translated LaPlace's Celestial mechanics into English, where her translation served as an advanced textbook for many years.

Seduced by Logic

Seduced by Logic PDF Author: Robyn Arianrhod
Publisher: Oxford University Press
ISBN: 0199931623
Category : Science
Languages : en
Pages : 345

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Book Description
Newton's explanation of the natural law of universal gravity shattered the way mankind perceived the universe, and hence it was not immediately embraced. After all, how can anyone warm to a force that cannot be seen or touched? But for two women, separated by time and space but joined in their passion for Newtonian physics, the intellectual power of that force drove them to great achievements. Brilliant, determined, and almost entirely self-taught, they dedicated their lives to explaining and disseminating Newton's discoveries. Robyn Arianrhod's Seduced by Logic tells the story of Emilie du Chatelet and Mary Somerville, who, despite living a century apart, were connected by their love for mathematics and their places at the heart of the most advanced scientific society of their age. When Newton published his revolutionary theory of gravity, in his monumental Principia of 1687, most of his Continental peers rejected it for its reliance on physical observation and mathematical insight instead of religious or metaphysical hypotheses. But the brilliant French aristocrat and intellectual Emilie du Chatelet and some of her early eighteenth-century Enlightenment colleagues--including her lover, Voltaire--realized the Principia had changed everything, marking the beginning of theoretical science as a predictive, quantitative, and secular discipline. Emilie devoted herself to furthering Newton's ideas in France, and her translation of the Principia is still the accepted French version of this groundbreaking work. Almost a century later, in Scotland, Mary Somerville taught herself mathematics and rose from genteel poverty to become a world authority on Newtonian physics. She was fêted by the famous French Newtonian, Pierre Simon Laplace, whose six-volume Celestial Mechanics was considered the greatest intellectual achievement since the Principia. Laplace's work was the basis of Mary's first book, Mechanism of the Heavens; it is a bittersweet irony that this book, written by a woman denied entry to university because of her gender, remained an advanced university astronomy text for the next century. Combining biography, history, and popular science, Seduced by Logic not only reveals the fascinating story of two incredibly talented women, but also brings to life a period of dramatic political and scientific change. With lucidity and skill, Arianrhod explains the science behind the story, and explores - through the lives of her protagonists - the intimate links between the unfolding Newtonian revolution and the development of intellectual and political liberty.

The Unity of Science

The Unity of Science PDF Author: David Bensimon
Publisher: CRC Press
ISBN: 1000518817
Category : Technology & Engineering
Languages : en
Pages : 391

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Book Description
The Unity of Science presents a unique overview of natural phenomena and foundations of different technologies (chemistry, electronics, optics, etc.). It explores the connections and unified foundations of diverse scientific and technological fields. The author explains how much of Nature (at the very small and very large scales) and most of our technology can be understood/derived from a few basic principles or concepts (Newton and Coulomb’s laws, special relativity, Schrodinger’s equation and the concept of entropy). Additional features include: Uses a systematic derivation of Statistical Mechanics from information theory, a connection central understanding the brain and the functioning of Deep Learning networks. Explains how combining special relativity with electrostatics allows one to understand magnetic phenomena. Details how the unification of special relativity with QM allows one to understand the origin of anti-matter and spin (Dirac’s equation). This book is ideal for students of chemistry, material sciences and engineering and professionals with an engineering/scientific/mathematical background.

Exploring Mathematics

Exploring Mathematics PDF Author: Craig Johnson
Publisher: Jones & Bartlett Publishers
ISBN: 1284076229
Category : Mathematics
Languages : en
Pages : 676

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Book Description
Exploring Mathematics: Investigations with Functions is intended for a one- or two-term course in mathematics for college students majoring in the social sciences, English, history, music, art, education, or any of the other majors within liberal arts. The mathematics course of this scope, with an algebra prerequsite, is a popular selection for liberal arts students. This 9-chapter textbook offers modern applications of mathematics in the liberal arts as well as aesthetic features of this rich facet of history and ongoing advancement of human society. With a central theme around the use of the concept of functions, and the inclusion of unique topics and chapters, Exploring Mathematics enables students to explore the next level of mathematics. It attempts to answer the questions, "How does mathematics help us to better our society and understand the world around us?" and "What are some of the unifying ideas of mathematics?" The central theme helps to impress upon the student the feeling that mathematics is more than a disconnected potpourri of rules and tricks. Although it would be inappropriate to force a functional connection in every single section, the theme is used whenever possible to provide conceptual bridges between chapters. Developing the concept of a function augments the presentation of many topics in every chapter. The Text's Objectives: The author chose the topics based on meeting the specific NCTM curriculum standards to: 1. Strengthen estimation and computational skills. 2. Utilize algebraic concepts. 3. Emphasize problem-solving and reasoning. 4. Emphasize pattern and relationship recognition. 5. Highlight importance of units in measurement. 6. Highlight importance of the notion of a mathematical function. 7. Display mathematical connections to other disciplines.