a modern approach to classical mechanics

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A Modern Approach To Classical Mechanics

Author : Harald Iro
ISBN : 9789814696302
Genre : Science
File Size : 38. 42 MB
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In this book we describe the evolution of Classical Mechanics from Newton's laws via Lagrange's and Hamilton's theories with strong emphasis on integrability versus chaotic behavior. In the second edition of the book we have added historical remarks and references to historical sources important in the evolution of classical mechanics. Request Inspection Copy

Modern Approach To Classical Mechanics A Second Edition

Author : Harald Iro
ISBN : 9814696293
Genre : Electronic books
File Size : 38. 17 MB
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Classical Mechanics

Author : Martin W. McCall
ISBN : 9781119956129
Genre : Science
File Size : 28. 42 MB
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This new edition of Classical Mechanics, aimed at undergraduate physics and engineering students, presents ina user-friendly style an authoritative approach to the complementary subjects of classical mechanics and relativity. The text starts with a careful look at Newton's Laws, before applying them in one dimension to oscillations and collisions. More advanced applications - including gravitational orbits and rigid body dynamics - are discussed after the limitations of Newton's inertial frames have been highlighted through an exposition of Einstein's Special Relativity. Examples given throughout are often unusual for an elementary text, but are made accessible to the reader through discussion and diagrams. Updates and additions for this new edition include: New vector notation in Chapter 1 An enhanced discussion of equilibria in Chapter 2 A new section on a body falling a large distance towards a gravitational source in Chapter 2 New sections in Chapter 8 on general rotation about a fixed principal axes, simple examples of principal axes and principal moments of inertia and kinetic energy of a body rotating about a fixed axis New sections in chapter 9: Foucault pendulum and free rotation of a rigid body; the latter including the famous tennis racquet theorem Enhanced chapter summaries at the end of each chapter Novel problems with numerical answers A solutions manual is available at: www.wiley.com/go/mccall

A Modern Approach To Quantum Mechanics

Author : John S. Townsend
ISBN : 1891389130
Genre : Science
File Size : 76. 58 MB
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This text allows lecturers to involve their undergraduates in the excitement and insight of Feynman's approach to quantum mechanics while simultaneously giving them a textbook that is well-ordered, logical, and pedagogically sound.

Classical Mechanics With Mathematica

Author : Antonio Romano
ISBN : 9780817683528
Genre : Mathematics
File Size : 88. 78 MB
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This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject.​ Developed by the author from 35 years of teaching experience, the presentation is designed to give students an overview of the many different models used through the history of the field—from Newton to Lagrange—while also painting a clear picture of the most modern developments. Throughout, it makes heavy use of the powerful tools offered by Mathematica​. The volume is organized into two parts. The first focuses on developing the mathematical framework of linear algebra and differential geometry necessary for the remainder of the book. Topics covered include tensor algebra, Euclidean and symplectic vector spaces, differential manifolds, and absolute differential calculus. The second part of the book applies these topics to kinematics, rigid body dynamics, Lagrangian and Hamiltonian dynamics, Hamilton–Jacobi theory, completely integrable systems, statistical mechanics of equilibrium, and impulsive dynamics, among others. Unique in its scope of coverage and method of approach, Classical Mechanics will be a very useful resource for graduate students and advanced undergraduates in applied mathematics and physics who hope to gain a deeper understanding of mechanics.

A Radically Modern Approach To Introductory Physics

Author : David J. Raymond
ISBN : 0983039445
Genre : Mathematical physics
File Size : 53. 47 MB
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This is the first edition [revised on March 13, 2014] of two volumes of notes prepared by David J. Raymond for a physics course at New Mexico Tech. The course used the principles of optics, waves and relativity, rather than classical mechanics, as a foundation for teaching introductory physics. The topics covered are: waves in one, two and three dimensions; geometrical optics; special relativity; acceleration and general relativity; matter waves; Newton's Laws; symmetry and bound states; dynamics of multiple particles; rotational dynamics; and harmonic oscillators. This textbook is available as a PDF file under a GNU Free Documentation License.

Classical Dynamics

Author : E C G Sudarshan
ISBN : 9789814713894
Genre : Science
File Size : 53. 33 MB
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Classical dynamics is traditionally treated as an early stage in the development of physics, a stage that has long been superseded by more ambitious theories. Here, in this book, classical dynamics is treated as a subject on its own as well as a research frontier. Incorporating insights gained over the past several decades, the essential principles of classical dynamics are presented, while demonstrating that a number of key results originally considered only in the context of quantum theory and particle physics, have their foundations in classical dynamics. Graduate students in physics and practicing physicists will welcome the present approach to classical dynamics that encompasses systems of particles, free and interacting fields, and coupled systems. Lie groups and Lie algebras are incorporated at a basic level and are used in describing space-time symmetry groups. There is an extensive discussion on constrained systems, Dirac brackets and their geometrical interpretation. The Lie-algebraic description of dynamical systems is discussed in detail, and Poisson brackets are developed as a realization of Lie brackets. Other topics include treatments of classical spin, elementary relativistic systems in the classical context, irreducible realizations of the Galileo and Poincaré groups, and hydrodynamics as a Galilean field theory. Students will also find that this approach that deals with problems of manifest covariance, the no-interaction theorem in Hamiltonian mechanics and the structure of action-at-a-distance theories provides all the essential preparatory groundwork for a passage to quantum field theory. This reprinting of the original text published in 1974 is a testimony to the vitality of the contents that has remained relevant over nearly half a century.

Classical Mechanics With Applications

Author : Porter Wear Johnson
ISBN : 9789813107861
Genre : Science
File Size : 65. 10 MB
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This textbook — appropriate for a one-semester course in classical mechanics at the late undergraduate or early graduate level — presents a fresh, modern approach to mechanics. About 150 exercises, covering a wide variety of topics and applications, have solutions roughly outlined for enhanced understanding. Unique to this text is the versatile application of programming language Mathematica™ throughout to analyze systems and generate results. Coverage is also devoted to the topic on one dimensional continuum systems. The extensive discussions on inverse problems of mechanical systems and the detailed analysis of stability of classical systems certainly make this an outstanding textbook.

Structure And Interpretation Of Classical Mechanics

Author : Gerald Jay Sussman
ISBN : 9780262028967
Genre : Science
File Size : 64. 45 MB
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The new edition of a classic text that concentrates on developing general methods for studying the behavior of classical systems, with extensive use of computation.

Classical Dynamics

Author : Jorge V. José
ISBN : 9781139643399
Genre : Science
File Size : 53. 67 MB
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Advances in the study of dynamical systems have revolutionized the way that classical mechanics is taught and understood. Classical Dynamics, first published in 1998, is a comprehensive textbook that provides a complete description of this fundamental branch of physics. The authors cover all the material that one would expect to find in a standard graduate course: Lagrangian and Hamiltonian dynamics, canonical transformations, the Hamilton-Jacobi equation, perturbation methods, and rigid bodies. They also deal with more advanced topics such as the relativistic Kepler problem, Liouville and Darboux theorems, and inverse and chaotic scattering. A key feature of the book is the early introduction of geometric (differential manifold) ideas, as well as detailed treatment of topics in nonlinear dynamics (such as the KAM theorem) and continuum dynamics (including solitons). The book contains many worked examples and over 200 homework exercises. It will be an ideal textbook for graduate students of physics, applied mathematics, theoretical chemistry, and engineering, as well as a useful reference for researchers in these fields. A solutions manual is available exclusively for instructors.

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