A Modern Approach to Classical Mechanics

Second Edition

Author: Harald Iro

Publisher: World Scientific Publishing Company

ISBN: 9814696307

Category: Science

Page: 528

View: 1708

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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

A Modern Approach to Quantum Mechanics

Author: John S. Townsend

Publisher: University Science Books

ISBN: 9781891389139

Category: Science

Page: 476

View: 6117

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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.

A Modern Approach to Functional Integration

Author: John R. Klauder

Publisher: Springer Science & Business Media

ISBN: 0817647902

Category: Mathematics

Page: 282

View: 5726

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This text takes advantage of recent developments in the theory of path integration and attempts to make a major paradigm shift in how the art of functional integration is practiced. The techniques developed in the work will prove valuable to graduate students and researchers in physics, chemistry, mathematical physics, and applied mathematics who find it necessary to deal with solutions to wave equations, both quantum and beyond. A Modern Approach to Functional Integration offers insight into a number of contemporary research topics, which may lead to improved methods and results that cannot be found elsewhere in the textbook literature. Exercises are included in most chapters, making the book suitable for a one-semester graduate course on functional integration.

Classical Mechanics with Mathematica®

Author: Antonio Romano

Publisher: Springer Science & Business Media

ISBN: 0817683526

Category: Mathematics

Page: 506

View: 1032

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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 Modern Approach to Critical Phenomena

Author: Igor Herbut

Publisher: Cambridge University Press

ISBN: 1139460129

Category: Science

Page: N.A

View: 2357

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Critical phenomena is one of the most exciting areas of modern physics. This 2007 book provides a thorough but economic introduction into the principles and techniques of the theory of critical phenomena and the renormalization group, from the perspective of modern condensed matter physics. Assuming basic knowledge of quantum and statistical mechanics, the book discusses phase transitions in magnets, superfluids, superconductors, and gauge field theories. Particular attention is given to topics such as gauge field fluctuations in superconductors, the Kosterlitz-Thouless transition, duality transformations, and quantum phase transitions - all of which are at the forefront of physics research. This book contains numerous problems of varying degrees of difficulty, with solutions. These problems provide readers with a wealth of material to test their understanding of the subject. It is ideal for graduate students and more experienced researchers in the fields of condensed matter physics, statistical physics, and many-body physics.

A Radically Modern Approach to Introductory Physics

Author: David J. Raymond

Publisher: Dog Ear Publishing

ISBN: 0983039461

Category: Electromagnetism

Page: 442

View: 1428

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This nontraditional text arose from the conviction that science and engineering students would benefit from an introductory course which covers all of physics from a modern point of view. The text takes the perspective of a modern particle physicist and is based more on wave dynamics and relativity than on classical mechanics. The subject matter is split into two volumes of twelve chapters each: Volume 1 - Waves, including geometrical optics - Theory of relativity - Relativistic matter waves and quantum mechanics - Classical mechanics as the geometric optics limit of quantum mechanics Volume 2 - Gravity - A treatment of electromagnetism which builds on relativity - Atomic, nuclear, and particle physics - Statistical mechanics and thermodynamics The result is a conceptually challenging but mathematically simple text which can be covered in two semesters or three quarters without omitting any content. Such a course has been offered for over ten years at New Mexico Tech to incoming physics majors and other interested students who are well prepared in high school physics and mathematics. David J. Raymond received a Ph.D. in high energy physics from Stanford University in 1970. He has taught physics and performed research in atmospheric physics at New Mexico Tech since 1973. The publisher will donate a portion of the price of this book to New Mexico Tech for scholarships.

Classical Mechanics

From Newton to Einstein: A Modern Introduction

Author: Martin W. McCall

Publisher: John Wiley & Sons

ISBN: 1119956129

Category: Science

Page: 250

View: 7469

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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

Computer Algebra Recipes for Classical Mechanics

Author: Richard H. Enns,George C. McGuire

Publisher: Springer Science & Business Media

ISBN: 146120013X

Category: Mathematics

Page: 265

View: 1283

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This is a standalone, but the recipes are correlated with topics found in standard texts, and make use of MAPLE (Release 7). As a reference text, or self-study guide this book is useful for science professionals and engineers.; Good for the classroom correlates with topics found in standard classical mechanics texts.; This book makes use of the powerful computer algebra system MAPLE (Release 7) but no prior knowledge of MAPLE is presumed.; The relevant command structures are explained on a need-to-know basis as the recipes are developed, thus making this a standalone text.

Classical Dynamics

A Contemporary Approach

Author: Jorge V. José,Eugene J. Saletan

Publisher: Cambridge University Press

ISBN: 9780521636360

Category: Science

Page: 670

View: 553

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A comprehensive graduate-level textbook on classical dynamics with many worked examples and over 200 homework exercises, first published in 1998.

Classical Mechanics with Applications

Author: Porter Wear Johnson

Publisher: World Scientific Publishing Company

ISBN: 9813107863

Category: Science

Page: 296

View: 6908

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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.

Klassische Mechanik

Author: Herbert Goldstein,Charles P. Poole, Jr.,John L. Safko, Sr.

Publisher: John Wiley & Sons

ISBN: 3527662073

Category: Science

Page: 700

View: 4542

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Der Goldstein gehört zu den Standardwerken für die Vorlesung in Klassischer Mechanik, die Pflichtvorlesung und Teil des Theorie-Lehrplans jedes Physik-Studienganges ist. Für diese aktuelle Ausgabe haben Charles Poole und John Safko die Texte überarbeitet und neueste Themen, Anwendungen und Notationen eingearbeitet und sind damit auf moderne Trends in der Theoretischen Mechanik eingegangen. Neue numerische Übungen verhelfen den Studenten zur Fähigkeit, Computeranwendungen für die Lösung von Physikproblemen zu benutzen. Mathematische Techniken werden detailliert eingeführt, so daß der Text auch für Studenten ohne den entsprechenden Hintergrund der Theoretischen Mechanik verständlich ist.

Physics of Optoelectronics

Author: Michael A. Parker

Publisher: CRC Press

ISBN: 1420027719

Category: Technology & Engineering

Page: 798

View: 7618

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Physics of Optoelectronics focuses on the properties of optical fields and their interaction with matter. Understanding that lasers, LEDs, and photodetectors clearly exemplify this interaction, the author begins with an introduction to lasers, LEDs, and the rate equations, then describes the emission and detection processes. The book summarizes and reviews the mathematical background of the quantum theory embodied in the Hilbert space. These concepts highlight the abstract form of the linear algebra for vectors and operators, supplying the "pictures" that make the subject more intuitive. A chapter on dynamics includes a brief review of the formalism for discrete sets of particles and continuous media. It also covers the quantum theory necessary for the study of optical fields, transitions, and semiconductor gain. This volume supplements the description of lasers and LEDs by examining the fundamental nature of the light that these devices produce. It includes an analysis of quantized electromagnetic fields and illustrates inherent quantum noise in terms of Poisson and sub-Poisson statistics. It explains matter-light interaction in terms of time-dependent perturbation theory and Fermi's golden rule, and concludes with a detailed discussion of semiconductor emitters and detectors.

Der Wiener Kreis in Ungarn

The Vienna Circle in Hungary

Author: András Máté,Miklós Rédei,Friedrich Stadler

Publisher: Springer-Verlag

ISBN: 3709101778

Category: Philosophy

Page: 304

View: 9475

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Der Einfluss des Wiener Kreises zeigt sich bis heute auf allen Gebieten der Philosophie. Mit der erzwungenen Emigration der meisten Mitglieder wurde diese logisch-empiristische Tradition in Mitteleuropa jedoch vorerst unterbrochen. Erst als der logische Empirismus nach dem 2. Weltkrieg in der angelsächsischen Welt zu einer wichtigen Denkrichtung geworden war, wirkte er von dort zurück nach Mitteleuropa. In den Beiträgen analysieren und bewerten namhafte Experten die Auswirkungen des Logischen Empirismus auf die Entwicklung der Philosophie in Ungarn.

Volume 2, Issue 2 (Fall 2013)

General Issue. Volume 2, Issue 2 (Fall 2013)

Author: Sorana Corneanu

Publisher: Zeta Books

ISBN: 6068266710

Category: Electronic books

Page: 202

View: 6268

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Nu s-au introdus date

Classical Mechanics, Second Edition

Author: Tai L. Chow

Publisher: CRC Press

ISBN: 1466570008

Category: Science

Page: 639

View: 9746

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Classical Mechanics, Second Edition presents a complete account of the classical mechanics of particles and systems for physics students at the advanced undergraduate level. The book evolved from a set of lecture notes for a course on the subject taught by the author at California State University, Stanislaus, for many years. It assumes the reader has been exposed to a course in calculus and a calculus-based general physics course. However, no prior knowledge of differential equations is required. Differential equations and new mathematical methods are developed in the text as the occasion demands. The book begins by describing fundamental concepts, such as velocity and acceleration, upon which subsequent chapters build. The second edition has been updated with two new sections added to the chapter on Hamiltonian formulations, and the chapter on collisions and scattering has been rewritten. The book also contains three new chapters covering Newtonian gravity, the Hamilton-Jacobi theory of dynamics, and an introduction to Lagrangian and Hamiltonian formulations for continuous systems and classical fields. To help students develop more familiarity with Lagrangian and Hamiltonian formulations, these essential methods are introduced relatively early in the text. The topics discussed emphasize a modern perspective, with special note given to concepts that were instrumental in the development of modern physics, for example, the relationship between symmetries and the laws of conservation. Applications to other branches of physics are also included wherever possible. The author provides detailed mathematical manipulations, while limiting the inclusion of the more lengthy and tedious ones. Each chapter contains homework problems of varying degrees of difficulty to enhance understanding of the material in the text. This edition also contains four new appendices on D'Alembert's principle and Lagrange's equations, derivation of Hamilton’s principle, Noether’s theorem, and conic sections.

Modern Physics for Scientists and Engineers

Author: Stephen T. Thornton,Andrew Rex

Publisher: Cengage Learning

ISBN: 1133712231

Category: Education

Page: 688

View: 9450

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MODERN PHYSICS presents the latest discoveries in physics, and offers a contemporary and comprehensive approach with a strong emphasis on applications. In order to illustrate the process behind scientific advances and give students a historical perspective, the authors discuss the experiments that led to key discoveries covered in the text. A flexible organization allows you to select and teach topics in your preferred sequence without compromising your student's learning experience. A sound theoretical foundation in quantum theory is included to help physics majors succeed in their upper division courses. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Exploring the Limits of Preclassical Mechanics

A Study of Conceptual Development in Early Modern Science: Free Fall and Compounded Motion in the Work of Descartes, Galileo and Beeckman

Author: Peter Damerow,Gideon Freudenthal,Peter McLaughlin,Jürgen Renn

Publisher: Springer Science & Business Media

ISBN: 9780387205731

Category: Mathematics

Page: 412

View: 9045

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The question of when and how the basic concepts that characterize modern science arose in Western Europe has long been central to the history of science. This book examines the transition from Renaissance engineering and philosophy of nature to classical mechanics oriented on the central concept of velocity. Descartes, Galileo, and other protagonists of what the authors call "preclassical mechanics" struggled with fundamental concepts and contributed crucial insights to classical mechanics, but it is not clear that they actually realized these insights themselves. This book argues that the emergence of classical mechanics was neither a cumulative change nor an abrupt revolution, but rather that the transformation was the result of exploring the limits and exhausting the possibilities of the existing, largely Aristotelian conceptual system. In the dozen years that have passed since the appearance of the first edition, significant research has been done on Descartes and Galileo and the origins of modern science. There have also been important advances in the accessibility of sources and in technology for analyzing them. For this new edition, the authors take account of the most important new results. They include a new discussion of the doctrine of proportions, an analysis of the role of traditional statics in the construction of Descartes' impact rules, and go deeper into the debate between Descartes and Hobbes on the explanation of refraction. They also provide significant new material on the early development of Galileo's work on mechanics and the law of fall. All translations have been reviewed and revised for consistency of terminology and several new documents have been added. The bibliography has been updated to take account of new literature.