Conceptual Evolution Of Newtonian And Relativistic Mechanics
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| Author | : Amitabha Ghosh |
| Publisher | : Springer |
| Total Pages | : 134 |
| Release | : 2017-10-30 |
| Genre | : Science |
| ISBN | : 9811062536 |
This book provides an introduction to Newtonian and relativistic mechanics. Unlike other books on the topic, which generally take a 'top-down' approach, it follows a novel system to show how the concepts of the 'science of motion' evolved through a veritable jungle of intermediate ideas and concepts. Starting with Aristotelian philosophy, the text gradually unravels how the human mind slowly progressed towards the fundamental ideas of inertia physics. The concepts that now appear so obvious to even a high school student took great intellectuals more than a millennium to clarify. The book explores the evolution of these concepts through the history of science. After a comprehensive overview of the discovery of dynamics, it explores fundamental issues of the properties of space and time and their relation with the laws of motion. It also explores the concepts of spatio-temporal locality and fields, and offers a philosophical discussion of relative motion versus absolute motion, as well as the concept of an absolute space. Furthermore, it presents Galilean transformation and the principle of relativity, inadequacy of Galilean relativity and emergence of the spatial theory of relativity with an emphasis on physical understanding, as well as the debate over relative motion versus absolute motion and Mach's principle followed by the principle of equivalence. The natural follow-on to this section is the physical foundations of general theory of relativity. Lastly, the book ends with some new issues and possibilities regarding further modifications of the laws of motion leading to the solution of a number of fundamental issues closely connected with the characteristics of the cosmos. It is a valuable resource for undergraduate students of physics, engineering, mathematics, and related disciplines. It is also suitable for interdisciplinary coursework and introductory reading outside the classroom.
| Author | : Ijaz A. Rauf |
| Publisher | : CRC Press |
| Total Pages | : 210 |
| Release | : 2021-11-28 |
| Genre | : Computers |
| ISBN | : 1000450414 |
Physics of Data Science and Machine Learning links fundamental concepts of physics to data science, machine learning, and artificial intelligence for physicists looking to integrate these techniques into their work. This book is written explicitly for physicists, marrying quantum and statistical mechanics with modern data mining, data science, and machine learning. It also explains how to integrate these techniques into the design of experiments, while exploring neural networks and machine learning, building on fundamental concepts of statistical and quantum mechanics. This book is a self-learning tool for physicists looking to learn how to utilize data science and machine learning in their research. It will also be of interest to computer scientists and applied mathematicians, alongside graduate students looking to understand the basic concepts and foundations of data science, machine learning, and artificial intelligence. Although specifically written for physicists, it will also help provide non-physicists with an opportunity to understand the fundamental concepts from a physics perspective to aid in the development of new and innovative machine learning and artificial intelligence tools. Key Features: Introduces the design of experiments and digital twin concepts in simple lay terms for physicists to understand, adopt, and adapt. Free from endless derivations; instead, equations are presented and it is explained strategically why it is imperative to use them and how they will help in the task at hand. Illustrations and simple explanations help readers visualize and absorb the difficult-to-understand concepts. Ijaz A. Rauf is an adjunct professor at the School of Graduate Studies, York University, Toronto, Canada. He is also an associate researcher at Ryerson University, Toronto, Canada and president of the Eminent-Tech Corporation, Bradford, ON, Canada.
| Author | : D. Hestenes |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 655 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 9400948026 |
This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. Mechanics is most commonly formulated today in terms of the vector algebra developed by the American physicist J. Willard Gibbs, but for some applications of mechanics the algebra of complex numbers is more efficient than vector algebra, while in other applica tions matrix algebra works better. Geometric algebra integrates all these algebraic systems into a coherent mathematical language which not only retains the advantages of each special algebra but possesses powerful new capabilities. This book covers the fairly standard material for a course on the mechanics of particles and rigid bodies. However, it will be seen that geometric algebra brings new insights into the treatment of nearly every topic and produces simplifications that move the subject quickly to advanced levels. That has made it possible in this book to carry the treatment of two major topics in mechanics well beyond the level of other textbooks. A few words are in order about the unique treatment of these two topics, namely, rotational dynamics and celestial mechanics.
| Author | : OpenStax |
| Publisher | : |
| Total Pages | : 622 |
| Release | : 2016-11-04 |
| Genre | : Science |
| ISBN | : 9781680920451 |
University Physics is a three-volume collection that meets the scope and sequence requirements for two- and three-semester calculus-based physics courses. Volume 1 covers mechanics, sound, oscillations, and waves. Volume 2 covers thermodynamics, electricity and magnetism, and Volume 3 covers optics and modern physics. This textbook emphasizes connections between between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result. The text and images in this textbook are grayscale.
| Author | : Gonzalo Munévar |
| Publisher | : Vernon Press |
| Total Pages | : 206 |
| Release | : 2021-09-07 |
| Genre | : Science |
| ISBN | : 1648892825 |
‘A Theory of Wonder’ aims to determine the best way science can satisfy our sense of wonder by exploring the world. Empiricism tells us that science succeeds because it follows the scientific method: Observation passes judgment on Theory – supporting or rejecting it. Much credit is given to the inventor of the method, Galileo, but when historically-minded philosophers of science like Kuhn and Feyerabend called our attention to what Galileo actually wrote and did, we were shocked to find out that Galileo instead drives a dagger through the heart of empiricism; he strikes down the distinction between theory and observation. Plain facts, like the vertical fall of a stone, ruled out the motion of the Earth. To conclude that the stone really falls vertically, however, we must assume that the Earth does not move. If it does move, then the stone only “seems” to fall vertically. Galileo then replaced the “facts” against the motion of the Earth with “facts” that included such motion. This process is typical during scientific revolutions. A good strategy for science is to elaborate radical alternatives; then, and on their basis, reconsider what counts as evidence. Feyerabend was called irrational for this suggestion; but looking at the practice of science from the perspective of evolution and neuroscience shows that the suggestion is very reasonable instead, and, moreover, explains why science works best as a radical form of knowledge. It also leads to a sensible biological form of relative truth, with preliminary drafts leading to exciting discussions with other researchers in the philosophy of science. This book will be of particular interest to university students, instructors and researchers in history or philosophy of science, as well as those with a general interest in the nature of science.
| Author | : Martin Land |
| Publisher | : Springer Nature |
| Total Pages | : 124 |
| Release | : 2022-05-31 |
| Genre | : Technology & Engineering |
| ISBN | : 3031020790 |
This book presents classical relativistic mechanics and electrodynamics in the Feynman-Stueckelberg event-oriented framework formalized by Horwitz and Piron. The full apparatus of classical analytical mechanics is generalized to relativistic form by replacing Galilean covariance with manifest Lorentz covariance and introducing a coordinate-independent parameter to play the role of Newton's universal and monotonically advancing time. Fundamental physics is described by the -evolution of a system point through an unconstrained 8D phase space, with mass a dynamical quantity conserved under particular interactions. Classical gauge invariance leads to an electrodynamics derived from five -dependent potentials described by 5D pre-Maxwell field equations. Events trace out worldlines as advances monotonically, inducing pre-Maxwell fields by their motions, and moving under the influence of these fields. The dynamics are governed canonically by a scalar Hamiltonian that generates evolution of a 4D block universe defined at to an infinitesimally close 4D block universe defined at +. This electrodynamics, and its extension to curved space and non-Abelian gauge symmetry, is well-posed and integrable, providing a clear resolution to grandfather paradoxes. Examples include classical Coulomb scattering, electrostatics, plane waves, radiation from a simple antenna, classical pair production, classical CPT, and dynamical solutions in weak field gravitation. This classical framework will be of interest to workers in quantum theory and general relativity, as well as those interested in the classical foundations of gauge theory.
| Author | : Lawrence Sklar |
| Publisher | : Oxford University Press, USA |
| Total Pages | : 305 |
| Release | : 2014 |
| Genre | : Philosophy |
| ISBN | : 019514564X |
In nine new essays, distinguished philosophers of science discuss outstanding issues in scientific methodology --especially that of the physical sciences-and address philosophical questions that arise in the exploration of the foundations of contemporary science.
| Author | : D. Pearce |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 269 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 9400937776 |
How many miles to Babylon? Three-score and ten. Can I get there by candle-light? Yes, and back again. If your heels are nimble dnd light, You may get there by candle-light. Any philosopher who takes more than a fleeting interest in the sciences and their development must at some stage confront the issue of incommensurability in one or other of its many manifes tations. For the philosopher of science concerned with problems of conceptual change and the growth of knowledge, matters of incommensurability are of paramount concern. After many years of skating over, skimming through and skirting round this issue in my studies of intertheory relations in science, I decided to take the plunge and make the problem of incommensurability the central and unifying theme of a book. The present volume is the result of that decision. My interest in problems of comparability and commensurability in science was awakened in the formative years of my philosophi cal studies by my teacher, Jerzy Giedymin. From him I have learnt not only to enjoy philosophical problems but also to beware of simpleminded solutions to them. The vibrant seminars of Paul Feyerabend held at Sussex University in 1974 left me in no doubt that incommensurability was, and would remain, a major topic of debate and dispute in the philosophical study of human knowledge.
| Author | : Wenceslao J. González |
| Publisher | : Netbiblo |
| Total Pages | : 266 |
| Release | : 2011 |
| Genre | : Science |
| ISBN | : 8497459334 |
| Author | : Denis Noble |
| Publisher | : Cambridge University Press |
| Total Pages | : 315 |
| Release | : 2017 |
| Genre | : Medical |
| ISBN | : 1107176247 |
This book formulates a relativistic theory of biology, challenging the common gene-centred view of organisms.
