Mind The Gap: The Labyrinthine Story Of Planetary Orbits, Mathematics, And The Titius-bode Rule PDF Download
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Author: Martin Beech
Publisher: World Scientific
ISBN: 9811273995
Category : Science
Languages : en
Pages : 401
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Book Description
This book is concerned with two tightly knit topics — those of mathematics and astronomy. Its focus is primarily concerned with planetary astronomy, and specifically the history of accounting for the spacing of planetary orbits. The story begins with the ancient Greek philosophers and continues to the modern era and the new data being gleaned from the study of exoplanetary systems. Throughout the text, the manner in which mathematical theory has been used to decipher, and impose order upon the solar system, will be examined. Attention and discussion will be directed towards the so-called Titius-Bode rule, a long-standing ordering principle, that in fact it has no physical underpinning or explanation.The story presented will look at how humanity has learned about the workings of the solar system, and it will look at the philosophical problems that arise when mathematical exposition leads observation. Furthermore, the fundamental role of mathematics in the development of physical theory is examined, and it is argued that there are some gaps in our knowledge of the solar system (and the universe) that mathematics and physical theory will never successfully bridge. The text will present material at the informed-amateur scientist, university undergraduate student level.
Author: Martin Beech
Publisher: World Scientific
ISBN: 9811273995
Category : Science
Languages : en
Pages : 401
Get Book Here
Book Description
This book is concerned with two tightly knit topics — those of mathematics and astronomy. Its focus is primarily concerned with planetary astronomy, and specifically the history of accounting for the spacing of planetary orbits. The story begins with the ancient Greek philosophers and continues to the modern era and the new data being gleaned from the study of exoplanetary systems. Throughout the text, the manner in which mathematical theory has been used to decipher, and impose order upon the solar system, will be examined. Attention and discussion will be directed towards the so-called Titius-Bode rule, a long-standing ordering principle, that in fact it has no physical underpinning or explanation.The story presented will look at how humanity has learned about the workings of the solar system, and it will look at the philosophical problems that arise when mathematical exposition leads observation. Furthermore, the fundamental role of mathematics in the development of physical theory is examined, and it is argued that there are some gaps in our knowledge of the solar system (and the universe) that mathematics and physical theory will never successfully bridge. The text will present material at the informed-amateur scientist, university undergraduate student level.
Author: Martin Beech
Publisher: World Scientific Publishing Company
ISBN: 9789811276408
Category : Science
Languages : en
Pages : 0
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Book Description
This book is concerned with two tightly knit topics - those of mathematics and astronomy. Its focus is primarily concerned with planetary astronomy, and specifically the history of accounting for the spacing of planetary orbits. The story begins with the ancient Greek philosophers and continues to the modern era and the new data being gleaned from the study of exoplanetary systems. Throughout the text, the manner in which mathematical theory has been used to decipher, and impose order upon the solar system, will be examined. Attention and discussion will be directed towards the so-called Titius-Bode rule, a long-standing ordering principle, that in fact it has no physical underpinning or explanation. The story presented will look at how humanity has learned about the workings of the solar system, and it will look at the philosophical problems that arise when mathematical exposition leads observation. Furthermore, the fundamental role of mathematics in the development of physical theory is examined, and it is argued that there are some gaps in our knowledge of the solar system (and the universe) that mathematics and physical theory will never successfully bridge. The text will present material at the informed-amateur scientist, university undergraduate student level.
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599730138
Category : Mathematics
Languages : en
Pages : 140
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Book Description
Throughout this book, we discuss some open problems in various branches of science, including mathematics, theoretical physics, astrophysics, geophysics etc. It is of our hope that some of the problems discussed in this book will find their place either in theoretical exploration or further experiments, while some parts of these problems may be found useful for scholarly stimulation.The present book is also intended for young physics and mathematics fellows who will perhaps find the unsolved problems described here are at least worth pondering. If this book provides only a few highlights of plausible solutions, it is merely to keep the fun of readers in discovering the answers by themselves. Bon voyage!
Author: Robert E. Bradley
Publisher: Elsevier
ISBN: 0080471293
Category : Mathematics
Languages : en
Pages : 543
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Book Description
The year 2007 marks the 300th anniversary of the birth of one of the Enlightenment's most important mathematicians and scientists, Leonhard Euler. This volume is a collection of 24 essays by some of the world's best Eulerian scholars from seven different countries about Euler, his life and his work. Some of the essays are historical, including much previously unknown information about Euler's life, his activities in the St. Petersburg Academy, the influence of the Russian Princess Dashkova, and Euler's philosophy. Others describe his influence on the subsequent growth of European mathematics and physics in the 19th century. Still others give technical details of Euler's innovations in probability, number theory, geometry, analysis, astronomy, mechanics and other fields of mathematics and science.- Over 20 essays by some of the best historians of mathematics and science, including Ronald Calinger, Peter Hoffmann, Curtis Wilson, Kim Plofker, Victor Katz, Ruediger Thiele, David Richeson, Robin Wilson, Ivor Grattan-Guinness and Karin Reich- New details of Euler's life in two essays, one by Ronald Calinger and one he co-authored with Elena Polyakhova- New information on Euler's work in differential geometry, series, mechanics, and other important topics including his influence in the early 19th century
Author: Alessandra Celletti
Publisher: Springer Science & Business Media
ISBN: 0387685774
Category : Science
Languages : en
Pages : 277
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Book Description
The aim of this book is to demonstrate to a wider audience, as well as to a more skilled audience, the many fascinating aspects of modern celestial mechanics. It sets out to do this without the use of mathematics. After giving the reader the technical tools needed for a basic understanding of the underlying physical phenomena (using only elementary mathematics), facts and figures are provided on historical events, modern discoveries and future applications. Contents are divided into major topics where the three "souls" of modern celestial mechanics (dynamical systems, Solar System and stellar systems, spaceflight dynamics) play a major role.
Author: Gunter Faure
Publisher: Springer Science & Business Media
ISBN: 1402055447
Category : Science
Languages : en
Pages : 532
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Book Description
This textbook details basic principles of planetary science that help to unify the study of the solar system. It is organized in a hierarchical manner so that every chapter builds upon preceding ones. Starting with historical perspectives on space exploration and the development of the scientific method, the book leads the reader through the solar system. Coverage explains that the origin and subsequent evolution of planets and their satellites can be explained by applications of certain basic principles of physics, chemistry, and celestial mechanics and that surface features of the solid bodies can be interpreted by principles of geology.
Author: Wolfgang Kundt
Publisher: Springer Science & Business Media
ISBN: 3540269835
Category : Science
Languages : en
Pages : 226
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Book Description
Devised for a quantitative understanding of the physics of the universe from the solar system through the milky way to clusters of galaxies all the way to cosmology, this acclaimed text offers among the most concise and most critical ones of extant works. Special chapters are devoted to magnetic and radiation processes, disks, black-hole candidacy, bipolar flows, cosmic rays, gamma-ray bursts, image distortions, and special sources. At the same time, planet earth is viewed as the arena for life, with plants and animals having evolved to homo sapiens during cosmic time. This text is unique in covering the basic qualitative and quantitative tools, formulae as well as numbers, needed to for the precise interpretation of frontline phenomena.
Author: Wolfgang Osterhage
Publisher: Springer Nature
ISBN: 3030468585
Category : Science
Languages : en
Pages : 136
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Book Description
This book traces the development of Kepler’s ideas along with his unsteady wanderings in a world dominated by religious turmoil. Johannes Kepler, like Galileo, was a supporter of the Copernican heliocentric world model. From an early stage, his principal objective was to discover “the world behind the world”, i.e. to identify the underlying order and the secrets that make the world function as it does: the hidden world harmony. Kepler was driven both by his religious belief and Greek mysticism, which he found in ancient mathematics. His urge to find a construct encompassing the harmony of every possible aspect of the world – including astronomy, geometry and music – is seen as a manifestation of a deep human desire to bring order to the apparent chaos surrounding our existence. This desire continues to this day as we search for a theory that will finally unify and harmonise the forces of nature.
Author: Rodney Carlisle
Publisher: Turner Publishing Company
ISBN: 0470306920
Category : Science
Languages : en
Pages : 711
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Book Description
A unique A-to-Z reference of brilliance in innovation and invention Combining engagingly written, well-researched history with the respected imprimatur of Scientific American magazine, this authoritative, accessible reference provides a wide-ranging overview of the inventions, technological advances, and discoveries that have transformed human society throughout our history. More than 400 entertaining entries explain the details and significance of such varied breakthroughs as the development of agriculture, the "invention" of algebra, and the birth of the computer. Special chronological sections divide the entries, providing a unique focus on the intersection of science and technology from early human history to the present. In addition, each section is supplemented by primary source sidebars, which feature excerpts from scientists' diaries, contemporary accounts of new inventions, and various "In Their Own Words" sources. Comprehensive and thoroughly readable, Scientific American Inventions and Discoveries is an indispensable resource for anyone fascinated by the history of science and technology. Topics include: aerosol spray * algebra * Archimedes' Principle * barbed wire * canned food * carburetor * circulation of blood * condom * encryption machine * fork * fuel cell * latitude * music synthesizer * positron * radar * steel * television * traffic lights * Heisenberg's uncertainty principle
Author: Kenneth R. Lang
Publisher: Cambridge University Press
ISBN: 9780521198578
Category : Science
Languages : en
Pages : 502
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Book Description
Richly illustrated with full-color images, this book is a comprehensive, up-to-date description of the planets, their moons, and recent exoplanet discoveries. This second edition of a now classic reference is brought up to date with fascinating new discoveries from 12 recent Solar System missions. Examples include water on the Moon, volcanism on Mercury's previously unseen half, vast buried glaciers on Mars, geysers on Saturn's moon Enceladus, lakes of hydrocarbons on Titan, encounter with asteroid Itokawa, and sample return from comet Wild 2. The book is further enhanced by hundreds of striking new images of the planets and moons. Written at an introductory level appropriate for undergraduate and high-school students, it provides fresh insights that appeal to anyone with an interest in planetary science. A website hosted by the author contains all the images in the book with an overview of their importance. A link to this can be found at www.cambridge.org/solarsystem.
