John Taylor has brought to his new book, Classical Mechanics , all of the clarity and insight that made his Introduction to Error Analysis a best-selling text. Classical Mechanics is intended for students who have studied some mechanics in an introductory physics course and covers such topics as conservation laws, oscillations, Lagrangian mechanics, two-body problems, non-inertial frames, rigid bodies, normal modes, chaos theory, Hamiltonian mechanics, and continuum mechanics. A particular highlight is the chapter on chaos, which focuses on a few simple systems, to give a truly comprehensible introduction to the concepts that we hear so much about. At the end of each chapter is a large selection of interesting problems for the student, classified by topic and approximate difficulty, and ranging from simple exercises to challenging computer projects. Taylor´s Classical Mechanics is a thorough and very readable introduction to a subject that is four hundred years old but as exciting today as ever. He manages to convey that excitement as well as deep understanding and insight.
This upper-level undergraduate and beginning graduate textbook primarily covers the theory and application of Newtonian and Lagrangian, but also of Hamiltonian mechanics. In addition, included are elements of continuum mechanics and the accompanying classical field theory, wherein four-vector notation is introduced without explicit reference to special relativity. The author´s writing style attempts to ease students through the primary and secondary results, thus building a solid foundation for understanding applications. Numerous examples illustrate the material and often present alternative approaches to the final results.
A master course in modern physics, from the world-class physicist and father of string theory Susskind and citizen-scientist Hrabovsky. Combines clear explanations of the laws of the universe with basic exercises such as equations and maths.
For thirty years this has been the acknowledged standard in advanced classical mechanics courses. This classic text enables students to make connections between classical and modern physics - an indispensable part of a physicist´s education. In this new edition, Beams Medal winner Charles Poole and John Safko have updated the text to include the latest topics, applications, and notation, to reflect today´s physics curriculum. They introduce students to the increasingly important role that nonlinearities play in contemporary applications of classical mechanics. New numerical exercises help students to develop skills in how to use computer techniques to solve problems in physics. Mathematical techniques are presented in detail so that the text remains fully accessible to students who have not had an intermediate course in classical mechanics. Product Description For 30 years, this book has been the acknowledged standard in advanced classical mechanics courses. This classic book enables readers to make connections between classical and modern physics ? an indispensable part of a physicist´s education. In this new edition, Beams Medal winner Charles Poole and John Safko have updated the book to include the latest topics, applications, and notation to reflect today´s physics curriculum. Features + Benefits The classic approach of this leading text has been revised and updated without increasing the overall length of the book. NEW - NEW! Chapter 11 on classical chaos theory builds from the Hamilton-Jacobi theory to introduce nonlinear dynamics and fractal dimensionality as it relates to classical mechanics. REVISED! Chapter 7 now presents special relativity using the standard real metric (in lieu of the complex Minkowski space) and coordinate-free notation, and includes a brief introduction to the concepts of general relativity. UPDATED! A section on the Euler and Lagrange exact solutions to the three-body problem has been added to Chapter 3. UPDATED! A section on the damped driven oscillator as an example of the workings of the Josephson junction has been added to Chapter 6. REVISED! Chapter 12 on Canonical Perturbation Theory has been streamlined and the mathematics has been simplified. NEW - NEW! Approximately 45 new problems, mostly in Chapters One through Eight and Eleven. Problem sets are now helpfully divided into ´´Derivations´´ and ´´Exercises.´´ 1. Survey of the Elementary Principles. 2. Variational Principles and Lagrange´s Equations. UPDATED! 3. The Central Force Problem. 4. The Kinematics of Rigid Body Motion. 5. The Rigid Body Equations of Motion. UPDATED! 6. Oscillations. REVISED! 7. The Classical Mechanics of the Special Theory of Relativity. 8. The Hamiltonian Equations of Motion. 9. Canonical Transformations. 10. Hamilton-Jacobi Theory and Action Angle Variables. NEW! 11. Classical Chaos. REVISED! 12. Canonical Perturbation Theory. 13. Introduction to Lagrangian and Hamiltonian Formulations for Continuous Systems and Fields. Appendixes. Select Bibliography. Index. For thirty years this has been the acknowledged standard in advanced classical mechanics courses. This classic text enables students to make connections between classical and modern physics - an indispensable part of a physicist´s education. In this new edition, Beams Medal winner Charles Poole and John Safko have updated the text to include the latest topics, applications, and notation, to reflect today´s physics curriculum. They introduce students to the increasingly important role that nonlinearities play in contemporary applications of classical mechanics. New numerical exercises help students to develop skills in how to use computer techniques to solve problems in physics. Mathematical techniques are presented in detail so that the text remains fully accessible to students who have not had an intermediate course in classical mechanics.
This self-contained textbook with exercises discusses a broad range of selected topics from classical mechanics and electromagnetic theory that inform key issues related to modern accelerators. Part I presents fundamentals of the Lagrangian and Hamiltonian formalism for mechanical systems, canonical transformations, action-angle variables, and then linear and nonlinear oscillators. The Hamiltonian for a circular accelerator is used to evaluate the equations of motion, the action, and betatron oscillations in an accelerator. From this base, we explore the impact of field errors and nonlinear resonances. This part ends with the concept of the distribution function and an introduction to the kinetic equation to describe large ensembles of charged particles and to supplement the previous single-particle analysis of beam dynamics. Part II focuses on classical electromagnetism and begins with an analysis of the electromagnetic field from relativistic beams, both in vacuum and in a resistive pipe. Plane electromagnetic waves and modes in waveguides and radio-frequency cavities are also discussed. The focus then turns to radiation processes of relativistic beams in different conditions, including transition, diffraction, synchrotron, and undulator radiation. Fundamental concepts such as the retarded time for the observed field from a charged particle, coherent and incoherent radiation, and the formation length of radiation are introduced. We conclude with a discussion of laser-driven acceleration of charged particles and the radiation damping effect. Appendices on electromagnetism and special relativity are included, and references are given in some chapters as a launching point for further reading. This text is intended for graduate students who are beginning to explore the field of accelerator physics, but is also recommended for those who are familiar with particle accelerators but wish to delve further into the theory underlying some of the more pressing concerns in their design and operation.
In this textbook a combination of standard mathematics and modern numerical methods is used to describe a wide range of natural wave phenomena, such as sound, light and water waves, particularly in specific popular contexts, e.g. colors or the acoustics of musical instruments. It introduces the reader to the basic physical principles that allow the description of the oscillatory motion of matter and classical fields, as well as resulting concepts including interference, diffraction, and coherence. Numerical methods offer new scientific insights and make it possible to handle interesting cases that can´t readily be addressed using analytical mathematics; this holds true not only for problem solving but also for the description of phenomena. Essential physical parameters are brought more into focus, rather than concentrating on the details of which mathematical trick should be used to obtain a certain solution. Readers will learn how time-resolved frequency analysis offers a deeper understanding of the interplay between frequency and time, which is relevant to many phenomena involving oscillations and waves. Attention is also drawn to common misconceptions resulting from uncritical use of the Fourier transform. The book offers an ideal guide for upper-level undergraduate physics students and will also benefit physics instructors. Program codes in Matlab and Python, together with interesting files for use in the problems, are provided as free supplementary material.
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Seit 1980 hat der Shubb Capo den Maßstab gesetzt, an dem alle anderen gemessen werden müssen. Es ist die erste Wahl ... oft die einzige Wahl ... von mehr als einer Million Musikern weltweit. Der ernsthafte Gitarrist wird sich nicht weniger zufrieden geben. abgebildete Modell: C1B (Messing) Was macht den Shubb Capo so besonders? Zum einen das geniale Design: eine patentierte Verriegelung, die Kraft, Geschwindigkeit, Genauigkeit und Bedienkomfort konkurrenzlos vereint. Ein sanftes Umlegen des Hebels verriegelt ihn sicher ... und entfernt ihn genauso schnell. Und der Shubb-Capo erzeugt keine Abstimmungsprobleme. Sein weicher, elastischer Gummi wurde speziell entwickelt, um genau wie eine Fingerspitze zu funktionieren, so dass die Saiten nicht über die Bünde gebogen werden. Seine Schließaktion ist genau wie deine Hand, also zieht sie die Saite nicht aus der Mitte. Daher ist keine Neuabstimmung notwendig! Präzise aus Messing gefertigt und sorgfältig von Hand zusammengebaut, wird ein Shubb Capo kompromisslos hergestellt. Einfach einen in der Hand zu halten vermittelt ein Gefühl von Qualität. Es innerhalb von etwa einer Sekunde fest auf einen Gitarrenhals zu schnippen und dann zu entfernen, wird seinen Ruf für Exzellenz bestätigen. Jedes Modell ist in diesen Stilen verfügbar: Edelstahl schwarz Chrom Nickel Messing 1 Stahlsaitengitarre passt für die meisten Akustik und Elektrik S1 C1k C1 C1b 2 Nylon Saitengitarre breites, flaches Griffbrett S2 C2k C2 C2b 3 12-saitige Gitarre oder irgendeine Stahlsaitengitarre mit einem breiten Hals S3 C3k C3 C3b 4 7,25 Zoll Radius passt für einige (aber nicht die meisten) Vintage-Elektrik S4 C4k C4 C4b 5 Banjo (passt auch zu den meisten Mandolinen und Bouzoukis) für flache Bretter für gerundetes Griffbrett S5 S5r C5k C5kr C5 C5r C5b C5br Erfahren Sie mehr über CAPO