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.
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 textbook is a product of William Bennett´s work in developing and teaching a course on the physics of music at Yale University to a diverse audience of musicians and science students in the same class. The book is a culmination of over a decade of teaching the course and weaves together historical descriptions of the physical phenomena with the author´s clear interpretations of the most important aspects of the science of music and musical instruments. Many of the historical examples are not found in any other textbook available on the market. As the co-inventor of the Helium-Neon laser, Prof. Bennett´s knowledge of physics was world-class. As a professor at one of the most prestigious liberal-arts universities in the world, his appreciation for culture and humanities shines through. The book covers the basics of oscillations, waves and the analysis techniques necessary for understanding how musical instruments work. All types of stringed instruments, pipe organs, and the human voice are covered in this volume. A second volume covers the remaining families of musical instruments as well as selected other topics. Readers without a background in acoustics will enjoy learning the physics of the Science of Musical Sound from a preeminent scientist of the 20 th century. Those well versed in acoustics will discover wonderful illustrations and photographs depicting familiar concepts in new and enlightening ways.
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.
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.
Eine Welt herausragender Gitarren-Sounds Das ME-80 ist die perfekte Soundmaschine für Gitarristen: mobil, batteriebetrieben und mit einer großen Auswahl der besten BOSS-Amps und -Effekte ausgestattet. Das besonders intuitive Bedienkonzept mit Drehreglern macht es leicht, eigene Sounds in kürzester Zeit einzustellen. Dabei ist es möglich, die Effekte entweder wie bei einzelnen Bodenpedalen ein- und auszuschalten oder komplexe Effekt-Setups direkt aus dem Speicher abzurufen. Durch die einzigartigen neuen Fußtaster werden die Steuerungsmöglichkeiten im Vergleich zu früheren Fußtaster-Designs verdoppelt, für effizientes und intuitives Umschalten der Effekte, Patch-Auswahl und Echtzeit-Klanggestaltung während des Live-Spiels. Die kostenlose Software BOSS TONE STUDIO eröffnet noch mehr Sound-Optionen und bietet eine grafische Oberfläche zum Einstellen und Organisieren von Sounds auf dem Computer sowie eine Web-Verbindung zur Internetseite BOSS TONE CENTRAL für den direkten Zugriff auf aktuelle Sound-Patches, die von professionellen Gitarristen erstellt wurden, und vieles mehr. Riesige Auswahl von BOSS-Effekten in einem Gerät Unabhängig von Deinem Musikstil ist das Erstellen individueller Sounds dank der großen Bandbreite an Effekten des ME-80 ein Kinderspiel. Ein Querschnitt der BOSS Effekt-Historie ist integriert, von verschiedenen Verzerrern über Wah-Wah, Modulationseffekte, Pitch Shifter, Delays und weitere. DIe BOSS Multi Dimensional Processing (MDP)-Technologie erzeugt den einzigartigen, raumfüllenden Ambience-Sound des Tera Echos und die herausragenden Klangmodulationen des Overtone-Effekts. Die überarbeiteten COSM Preamps beinhalten neue Modelle wie ´´Crunch´´ und ´´Metal´´ sowie den AC-Preamp zur Verwendung mit Elektro-Akustik Gitarren. Das eingebaute Expression-Pedal kann als Volumen-Pedal genutzt sowie zur Steuerung von Effekten wie Wah-Wah, Octave Shift und Freeze und zur Beeinflussung von Effekt-Parametern wie „Mod Rate´´, „Delay Oscillation´´ un