A Modern Approach to Classical Mechanics

Author: Harald Iro
Publisher: World Scientific Publishing Company
ISBN: 9814696307
Format: PDF
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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 Classical Mechanics

Author: Harald Iro
Publisher: World Scientific Publishing Company
ISBN: 9789814696289
Format: PDF, ePub, Mobi
Download Now
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.

Computer Algebra Recipes for Classical Mechanics

Author: Richard H. Enns
Publisher: Springer Science & Business Media
ISBN: 146120013X
Format: PDF, Kindle
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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 Mechanics with Mathematica

Author: Antonio Romano
Publisher: Springer Science & Business Media
ISBN: 0817683526
Format: PDF, Kindle
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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.

Classical Mechanics with Applications

Author: Porter Wear Johnson
Publisher: World Scientific Publishing Company
ISBN: 9813107863
Format: PDF, ePub, Docs
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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.

A Modern Approach to Quantum Mechanics

Author: John S. Townsend
Publisher: University Science Books
ISBN: 9781891389139
Format: PDF
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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.

Advanced Classical Mechanics

Author: Bijan Bagchi
Publisher: CRC Press
ISBN: 1351690434
Format: PDF, Kindle
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This book is designed to serve as a textbook for postgraduates, researchers of applied mathematics, theoretical physics and students of engineering who need a good understanding of classical mechanics. In this book emphasis has been placed on the logical ordering of topics and appropriate formulation of the key mathematical equations with a view to imparting a clear idea of the basic tools of the subject and improving the problem solving skills of the students. The book provides a largely self-contained exposition to the topics with new ideas as a smooth continuation of the preceding ones. It is expected to give a systematic and comprehensive coverage of the methods of classical mechanics.

A Radically Modern Approach to Introductory Physics

Author: David J. Raymond
Publisher: Dog Ear Publishing
ISBN: 0983039461
Format: PDF, Docs
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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

Author: Martin W. McCall
Publisher: John Wiley & Sons
ISBN: 1119956129
Format: PDF, ePub, Mobi
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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

Klassische Mechanik

Author: Herbert Goldstein
Publisher: John Wiley & Sons
ISBN: 3527662073
Format: PDF, Docs
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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.