Mathematical Physics: Classical Mechanics Book

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Mathematical Physics: Classical Mechanics

By Andreas Knauf
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer
  • Isbn : 9783662557747
  • Pages : 683
  • Category : Science
  • Reads : 626
  • File Pdf: mathematical-physics.pdf

Book Summary:

As a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) behavior. This book presents the KAM (Kolmogorov-Arnold-Moser) theory and asymptotic completeness in classical scattering. Including a wealth of fascinating examples in physics, it offers not only an excellent selection of basic topics, but also an introduction to a number of current areas of research in the field of classical mechanics. Thanks to the didactic structure and concise appendices, the presentation is self-contained and requires only knowledge of the basic courses in mathematics. The book addresses the needs of graduate and senior undergraduate students in mathematics and physics, and of researchers interested in approaching classical mechanics from a modern point of view.

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Related Books

Classical Mechanics

By Alexei Deriglazov
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer
  • Isbn : 9783319441474
  • Pages : 445
  • Category : Science
  • Reads : 576
  • File Pdf: classical-mechanics.pdf

Book Summary:

The revised edition of this advanced textbook provides the reader with a solid grounding in the formalism of classical mechanics, underlying a number of powerful mathematical methods that are widely used in modern theoretical and mathematical physics. It reviews the fundamentals of Lagrangian and Hamiltonian mechanics, and goes on to cover related topics such as canonical transformations, integral invariants, potential motion in geometric setting, symmetries, the Noether theorem and systems with constraints. While in some cases the formalism is developed beyond the traditional level adopted in the standard textbooks on classical mechanics, only elementary mathematical methods are used in the exposition of the material. New material for the revised edition includes additional sections on the Euler-Lagrange equation, the Cartan two-form in Lagrangian theory, and Newtonian equations of motion in context of general relativity. Also new for this edition is the inclusion of problem sets and solutions to aid in the understanding of the material presented. The mathematical constructions involved are explicitly described and explained, so the book is a good starting point for the student new to this field. Where possible, intuitive motivations are replaced by explicit proofs and direct computations, preserving the level of rigor that makes the book useful for more advanced students intending to work in one of the branches of the vast field of theoretical physics. To illustrate how classical-mechanics formalism works in other branches of theoretical physics, examples related to electrodynamics, as well as to relativistic and quantum mechanics, are included.

Classical Mechanics

By Tom W B Kibble,Frank H Berkshire
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : World Scientific Publishing Company
  • Isbn : 9781911298281
  • Pages : 500
  • Category : Science
  • Reads : 649
  • File Pdf: classical-mechanics.pdf

Book Summary:

This is the fifth edition of a well-established textbook. It is intended to provide a thorough coverage of the fundamental principles and techniques of classical mechanics, an old subject that is at the base of all of physics, but in which there has also in recent years been rapid development. The book is aimed at undergraduate students of physics and applied mathematics. It emphasizes the basic principles, and aims to progress rapidly to the point of being able to handle physically and mathematically interesting problems, without getting bogged down in excessive formalism. Lagrangian methods are introduced at a relatively early stage, to get students to appreciate their use in simple contexts. Later chapters use Lagrangian and Hamiltonian methods extensively, but in a way that aims to be accessible to undergraduates, while including modern developments at the appropriate level of detail. The subject has been developed considerably recently while retaining a truly central role for all students of physics and applied mathematics. This edition retains all the main features of the fourth edition, including the two chapters on geometry of dynamical systems and on order and chaos, and the new appendices on conics and on dynamical systems near a critical point. The material has been somewhat expanded, in particular to contrast continuous and discrete behaviours. A further appendix has been added on routes to chaos (period-doubling) and related discrete maps. The new edition has also been revised to give more emphasis to specific examples worked out in detail. Classical Mechanics is written for undergraduate students of physics or applied mathematics. It assumes some basic prior knowledge of the fundamental concepts and reasonable familiarity with elementary differential and integral calculus. Contents: Linear MotionEnergy and Angular MomentumCentral Conservative ForcesRotating FramesPotential TheoryThe Two-Body ProblemMany-Body SystemsRigid BodiesLagrangian MechanicsSmall Oscillations and Normal ModesHamiltonian MechanicsDynamical Systems and Their GeometryOrder and Chaos in Hamiltonian SystemsAppendices:VectorsConicsPhase Plane Analysis Near Critical PointsDiscrete Dynamical Systems — Maps Readership: Undergraduates in physics and applied mathematics.

Mathematical Methods of Classical Mechanics

By V.I. Arnol'd
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer Science & Business Media
  • Isbn : 9781475720631
  • Pages : 520
  • Category : Mathematics
  • Reads : 667
  • File Pdf: mathematical-methods-of-classical-mechanics.pdf

Book Summary:

This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows, vector fields, and Lie groups. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.

Classical Mechanics

By Hiqmet Kamberaj
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Isbn : 9783110755930
  • Pages : 358
  • Category : Science
  • Reads : 105
  • File Pdf: classical-mechanics.pdf

Book Summary:

This textbook covers all fundamental concepts of physics and describes how different theories are developed from physical observations and phenomena. After some essential calculus the author presents the complete classical mechanics giving numerous examples and with a clear focus on problem-solving techniques. Due to the high number of exercises at the end of each chapter and their solutions the work is valuable for self-study.

Classical Mechanics

By A. Douglas Davis
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Elsevier
  • Isbn : 9780323149402
  • Pages : 464
  • Category : Science
  • Reads : 768
  • File Pdf: classical-mechanics.pdf

Book Summary:

Classical Mechanics focuses on the use of calculus to solve problems in classical mechanics. Topics covered include motion in one dimension and three dimensions; the harmonic oscillator; vector algebra and vector calculus; and systems of particles. Coordinate systems and central forces are also discussed, along with rigid bodies and Lagrangian mechanics. Comprised of 13 chapters, this book begins with a crash course (or brief refresher) in the BASIC computer language and its immediate application to solving the harmonic oscillator. The discussion then turns to kinematics and dynamics in one dimension; three-dimensional harmonic oscillators; moving and rotating coordinate systems; and central forces in relation to potential energy and angular momentum. Subsequent chapters deal with systems of particles and rigid bodies as well as statics, Lagrangian mechanics, and fluid mechanics. The last chapter is devoted to the theory of special relativity and addresses concepts such as spacetime coordinates, simultaneity, Lorentz transformations, and the Doppler effect. This monograph is written to help students learn to use calculus effectively to solve problems in classical mechanics.

Theoretical Physics 1

By Wolfgang Nolting
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer
  • Isbn : 9783319401089
  • Pages : 528
  • Category : Science
  • Reads : 663
  • File Pdf: theoretical-physics-1.pdf

Book Summary:

Der Grundkurs Theoretische Physik deckt in sieben Bänden alle für Diplom- und Bachelor/Master-Studiengänge maßgeblichen Gebiete ab. Jeder Band vermittelt das im jeweiligen Semester nötige theoretisch-physikalische Rüstzeug. Übungsaufgaben mit ausführlichen Lösungen dienen der Vertiefung des Stoffs. Band 1 behandelt die klassische Mechanik. Vorausgesetzt wird nur die übliche Schulmathematik, andere mathematische Hilfsmittel werden zu Beginn ausführlich erläutert. Die zweifarbig gestaltete Neuauflage wurde grundlegend überarbeitet und ergänzt.

Advanced Classical Mechanics

By Bijan Bagchi
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : CRC Press
  • Isbn : 9781351690430
  • Pages : 260
  • Category : Mathematics
  • Reads : 385
  • File Pdf: advanced-classical-mechanics.pdf

Book Summary:

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.

Classical Mechanics

By Jan Awrejcewicz
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer Science & Business Media
  • Isbn : 9781461437406
  • Pages : 466
  • Category : Science
  • Reads : 982
  • File Pdf: classical-mechanics.pdf

Book Summary:

This is the second volume of three books devoted to Mechanics. In this book, dynamical and advanced mechanics problems are stated, illustrated, and discussed, including a few novel concepts in comparison to standard text books and monographs. Apart from being addressed to a wide spectrum of graduate students, postgraduate students, researchers, and teachers from the fields of mechanical and civil engineering, this volume is also intended to be used as a self-contained material for applied mathematicians and physical scientists and researchers.

Classical Mechanics

By Peeter Joot
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Peeter Joot
  • Isbn : N.a
  • Pages : 449
  • Category : Science
  • Reads : 253
  • File Pdf: classical-mechanics.pdf

Book Summary:

This is a collection of notes on classical mechanics, and contains a few things • A collection of miscellaneous notes and problems for my personal (independent) classical mechanics studies. A fair amount of those notes were originally in my collection of Geometric (Clifford) Algebra related material so may assume some knowledge of that subject. • My notes for some of the PHY354 lectures I attended. That class was taught by Prof. Erich Poppitz. I audited some of the Wednesday lectures since the timing was convenient. I took occasional notes, did the first problem set, and a subset of problem set 2. These notes, when I took them, likely track along with the Professor’s hand written notes very closely, since his lectures follow his notes very closely. • Some assigned problems from the PHY354 course, ungraded (not submitted since I did not actually take the course). I ended up only doing the first problem set and two problems from the second problem set. • Miscellaneous worked problems from other sources.

Mathematical Methods of Classical Mechanics

By V. I. Arnold
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer Science & Business Media
  • Isbn : 9781475716931
  • Pages : 464
  • Category : Mathematics
  • Reads : 776
  • File Pdf: mathematical-methods-of-classical-mechanics.pdf

Book Summary:

Many different mathematical methods and concepts are used in classical mechanics: differential equations and phase ftows, smooth mappings and manifolds, Lie groups and Lie algebras, symplectic geometry and ergodic theory. Many modern mathematical theories arose from problems in mechanics and only later acquired that axiomatic-abstract form which makes them so hard to study. In this book we construct the mathematical apparatus of classical mechanics from the very beginning; thus, the reader is not assumed to have any previous knowledge beyond standard courses in analysis (differential and integral calculus, differential equations), geometry (vector spaces, vectors) and linear algebra (linear operators, quadratic forms). With the help of this apparatus, we examine all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the hamiltonian formalism. The author has tried to show the geometric, qualitative aspect of phenomena. In this respect the book is closer to courses in theoretical mechanics for theoretical physicists than to traditional courses in theoretical mechanics as taught by mathematicians.

Classical Mechanics

By H.C. Corben,Philip Stehle
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Courier Corporation
  • Isbn : 9780486140780
  • Pages : 416
  • Category : Science
  • Reads : 127
  • File Pdf: classical-mechanics.pdf

Book Summary:

Applications not usually taught in physics courses include theory of space-charge limited currents, atmospheric drag, motion of meteoritic dust, variational principles in rocket motion, transfer functions, much more. 1960 edition.

Introduction to CLASSICAL MECHANICS

By A.J. French,M.G. Ebison
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer Science & Business Media
  • Isbn : 9789400941199
  • Pages : 320
  • Category : Science
  • Reads : 398
  • File Pdf: introduction-to-classical-mechanics.pdf

Book Summary:

This book is, in essence, an updated and revised version of an earlier textbook, Newtonian Mechanics, written about fifteen years ago by one of us (APF) and published in 1971. The book has been significantly changed in emphasis as well as length. Our aim has been to produce a mechanics text, suitable for use at beginning university level, for students who have a background typified by the British sixth-form level in physics and mathematics. We hope, however, that the book will also be found useful in the teaching of mechanics at the upper levels of the secondary schools themselves. Calculus is freely used from the outset. In making the present revision we have drastically cut down on the amount of historical and more discursive material. Nevertheless, our goal has been to present classical mechanics as physics, not as applied mathematics. Although we begin at the beginning, we have aimed at developing the basic principles and their applications as rapidly as seemed reasonable, so that by the end of the book students will be able to feel that they have achieved a good working knowledge of the subject and can tackle fairly sophisticated problems. To help with this process, each chapter is followed by a good number of exercises, some of them fairly challenging. We shall be very grateful to receive comments and corrections from those who use this book.

Essential Classical Mechanics for Device Physics

By A F J Levi
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Morgan & Claypool Publishers
  • Isbn : 9781681744148
  • Pages : 101
  • Category : Science
  • Reads : 511
  • File Pdf: essential-classical-mechanics-for-device-physics.pdf

Book Summary:

Continued advances in the precision manufacturing of new structures at the nanometer scale have provided unique opportunities for device physics. This book sets out to summarize those elements of classical mechanics most applicable for scientists and engineers studying device physics. Supplementary MATLAB® materials are available for all figures generated numerically.

Lectures in Classical Mechanics

By Victor Ilisie
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer Nature
  • Isbn : 9783030385859
  • Pages : 359
  • Category : Science
  • Reads : 938
  • File Pdf: lectures-in-classical-mechanics.pdf

Book Summary:

This exceptionally well-organized book uses solved problems and exercises to help readers understand the underlying concepts of classical mechanics; accordingly, many of the exercises included are of a conceptual rather than practical nature. A minimum of necessary background theory is presented, before readers are asked to solve the theoretical exercises. In this way, readers are effectively invited to discover concepts on their own. While more practical exercises are also included, they are always designed to introduce readers to something conceptually new. Special emphasis is placed on important but often-neglected concepts such as symmetries and invariance, especially when introducing vector analysis in Cartesian and curvilinear coordinates. More difficult concepts, including non-inertial reference frames, rigid body motion, variable mass systems, basic tensorial algebra, and calculus, are covered in detail. The equations of motion in non-inertial reference systems are derived in two independent ways, and alternative deductions of the equations of motion for variable mass problems are presented. Lagrangian and Hamiltonian formulations of mechanics are studied for non-relativistic cases, and further concepts such as inertial reference frames and the equivalence principle are introduced and elaborated on.

Classical Mechanics

By J.W. Leech
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer Science & Business Media
  • Isbn : 9789401091695
  • Pages : 153
  • Category : Science
  • Reads : 133
  • File Pdf: classical-mechanics.pdf

Book Summary:

It is a feature of the history of the subject that the study of atomic physics was accompanied by a partial neglect of that of classical mechanics. This led to the unsatisfactory situation in which the physicist was expected to assimilate the elements of quantum and statistical mechanics without understanding the classical foundations on which these subjects were built. The situation has improved in recent years through the general lengthening of degree courses, and it is now usual to study the analytical formulation at the late under graduate stage. A number of excellent treatises are available, and there are also many elementary accounts to be found in general works on physical principles. However, there has been available so far no self-contained introduction to the subject which provides the beginner with a broad general review without involving him in too much detail. It is hoped that this book may bridge the gap by pro viding the experimental physicist with a sufficient background for his theoretical understanding and the theorist with some stimulus to study the masterpieces of the subject. The mathematical equipment required is no more than in the normal honours physics course. For the purposes of Chapters IX XI it includes an elementary knowledge of cartesian tensors. A familiarity with Newtonian mechanics and some acquaintance with special relativity theory are presumed, though summarizing accounts are also given.

A Complete Course on Theoretical Physics

By Albrecht Lindner,Dieter Strauch
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer
  • Isbn : 9783030043605
  • Pages : 638
  • Category : Science
  • Reads : 691
  • File Pdf: a-complete-course-on-theoretical-physics.pdf

Book Summary:

Kompakt und verständlich führt dieses Lehrbuch in die Grundlagen der theoretischen Physik ein. Dabei werden die üblichen Themen der Grundvorlesungen Mechanik, Elektrodynamik, Relativitätstheorie, Quantenmechanik , Thermodynamik und Statistik in einem Band zusammengefasst, um den Zusammenhang zwischen den einzelnen Teilgebieten besonders zu betonen. Ein Kapitel mit mathematischen Grundlagen der Physik erleichtert den Einstieg. Zahlreiche Übungsaufgaben dienen der Vertiefung des Stoffes.

Computer Algebra Recipes for Classical Mechanics

By Richard H. Enns,George C. McGuire
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer Science & Business Media
  • Isbn : 9781461200130
  • Pages : 265
  • Category : Mathematics
  • Reads : 464
  • File Pdf: computer-algebra-recipes-for-classical-mechanics.pdf

Book Summary:

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.

Fundamental Principles of Classical Mechanics

By Kai S Lam
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : World Scientific Publishing Company
  • Isbn : 9789814551502
  • Pages : 592
  • Category : Science
  • Reads : 868
  • File Pdf: fundamental-principles-of-classical-mechanics.pdf

Book Summary:

This book is written with the belief that classical mechanics, as a theoretical discipline, possesses an inherent beauty, depth, and richness that far transcends its immediate applications in mechanical systems. These properties are manifested, by and large, through the coherence and elegance of the mathematical structure underlying the discipline, and are eminently worthy of being communicated to physics students at the earliest stage possible. This volume is therefore addressed mainly to advanced undergraduate and beginning graduate physics students who are interested in the application of modern mathematical methods in classical mechanics, in particular, those derived from the fields of topology and differential geometry, and also to the occasional mathematics student who is interested in important physics applications of these areas of mathematics. Its main purpose is to offer an introductory and broad glimpse of the majestic edifice of the mathematical theory of classical dynamics, not only in the time-honored analytical tradition of Newton, Laplace, Lagrange, Hamilton, Jacobi, and Whittaker, but also the more topological/geometrical one established by Poincare, and enriched by Birkhoff, Lyapunov, Smale, Siegel, Kolmogorov, Arnold, and Moser (as well as many others).

Classical Mechanics

By Reinhard Hentschke
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer
  • Isbn : 9783319487106
  • Pages : 380
  • Category : Science
  • Reads : 715
  • File Pdf: classical-mechanics.pdf

Book Summary:

This textbook teaches classical mechanics as one of the foundations of physics. It describes the mechanical stability and motion in physical systems ranging from the molecular to the galactic scale. Aside from the standard topics of mechanics in the physics curriculum, this book includes an introduction to the theory of elasticity and its use in selected modern engineering applications, e.g. dynamic mechanical analysis of viscoelastic materials. The text also covers many aspects of numerical mechanics, ranging from the solution of ordinary differential equations, including molecular dynamics simulation of many particle systems, to the finite element method. Attendant Mathematica programs or parts thereof are provided in conjunction with selected examples. Numerous links allow the reader to connect to related subjects and research topics. Among others this includes statistical mechanics (separate chapter), quantum mechanics, space flight, galactic dynamics, friction, and vibration spectroscopy. An introductory chapter compiles all essential mathematical tools, ranging from coordinates to complex numbers. Completely solved problems and examples facilitate a thorough understanding of the material.

Essential Classical Mechanics

By Lee Choonkyu,Min Hyunsoo
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : World Scientific
  • Isbn : 9789813270077
  • Pages : 508
  • Category : Science
  • Reads : 993
  • File Pdf: essential-classical-mechanics.pdf

Book Summary:

Problem solving in physics is not simply a test of understanding, but an integral part of learning. This book contains complete step-by-step solutions for all exercise problems in Essential Classical Mechanics, with succinct chapter-by-chapter summaries of key concepts and formulas. The degree of difficulty with problems varies from quite simple to very challenging; but none too easy, as all problems in physics demand some subtlety of intuition. The emphasis of the book is not so much in acquainting students with various problem-solving techniques as in suggesting ways of thinking. For undergraduate and graduate students, as well as those involved in teaching classical mechanics, this book can be used as a supplementary text or as an independent study aid.

Generalized Classical Mechanics and Field Theory

By M. de León,P.R. Rodrigues
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Elsevier
  • Isbn : 0080872239
  • Pages : 288
  • Category : Science
  • Reads : 625
  • File Pdf: generalized-classical-mechanics-and-field-theory.pdf

Book Summary:

The aim of this book is to discuss the present situation of Lagrangian and Hamiltonian formalisms involving higher order derivatives. The achievements of differential geometry in formulating a more modern and powerful treatment of these theories is described and an extensive review of the development of these theories in classical language is also given.

Classical Mechanics

By Dieter Strauch
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer Science & Business Media
  • Isbn : 9783540736165
  • Pages : 405
  • Category : Science
  • Reads : 820
  • File Pdf: classical-mechanics.pdf

Book Summary:

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.

Classical Mechanics

By Martin W. McCall
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : John Wiley & Sons
  • Isbn : 9781119956129
  • Pages : 250
  • Category : Science
  • Reads : 116
  • File Pdf: classical-mechanics.pdf

Book Summary:

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

Classical Mechanics: Lecture Notes

By Helmut Haberzettl
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : World Scientific
  • Isbn : 9789811238291
  • Pages : 384
  • Category : Science
  • Reads : 184
  • File Pdf: classical-mechanics.pdf

Book Summary:

This textbook provides lecture materials of a comprehensive course in Classical Mechanics developed by the author over many years with input from students and colleagues alike. The richly illustrated book covers all major aspects of mechanics starting from the traditional Newtonian perspective, over Lagrangian mechanics, variational principles and Hamiltonian mechanics, rigid-body, and continuum mechanics, all the way to deterministic chaos and point-particle mechanics in special relativity. Derivation steps are worked out in detail, illustrated by examples, with ample explanations.Developed by a classroom practitioner, the book provides a comprehensive overview of classical mechanics with judicious material selections that can be covered in a one-semester course thus streamlining the instructor's task of choosing materials for their course. The usefulness for instructors notwithstanding, the primary aim of the book is to help students in their understanding, with detailed derivations and explanations, and provide focused guidance for their studies by repeatedly emphasizing how various topics are tied together by common physics principles.

New Foundations for Classical Mechanics

By D. Hestenes
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer Science & Business Media
  • Isbn : 9789400948020
  • Pages : 644
  • Category : Science
  • Reads : 864
  • File Pdf: new-foundations-for-classical-mechanics.pdf

Book Summary:

This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. Mechanics is most commonly formulated today in terms of the vector algebra developed by the American physicist J. Willard Gibbs, but for some applications of mechanics the algebra of complex numbers is more efficient than vector algebra, while in other applica tions matrix algebra works better. Geometric algebra integrates all these algebraic systems into a coherent mathematical language which not only retains the advantages of each special algebra but possesses powerful new capabilities. This book covers the fairly standard material for a course on the mechanics of particles and rigid bodies. However, it will be seen that geometric algebra brings new insights into the treatment of nearly every topic and produces simplifications that move the subject quickly to advanced levels. That has made it possible in this book to carry the treatment of two major topics in mechanics well beyond the level of other textbooks. A few words are in order about the unique treatment of these two topics, namely, rotational dynamics and celestial mechanics.

Classical Mechanics with Maxima

By Todd Keene Timberlake,J. Wilson Mixon
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer
  • Isbn : 9781493932078
  • Pages : 258
  • Category : Science
  • Reads : 742
  • File Pdf: classical-mechanics-with-maxima.pdf

Book Summary:

This book guides undergraduate students in the use of Maxima—a computer algebra system—in solving problems in classical mechanics. It functions well as a supplement to a typical classical mechanics textbook. When it comes to problems that are too difficult to solve by hand, computer algebra systems that can perform symbolic mathematical manipulations are a valuable tool. Maxima is particularly attractive in that it is open-source, multiple-platform software that students can download and install free of charge. Lessons learned and capabilities developed using Maxima are easily transferred to other, proprietary software.

Classical Mechanics, Volume 2

By Gregory A DiLisi
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Morgan & Claypool Publishers
  • Isbn : 9781643273082
  • Pages : 133
  • Category : Science
  • Reads : 694
  • File Pdf: classical-mechanics-volume-2.pdf

Book Summary:

Classical Mechanics teaches readers how to solve physics problems; in other words, how to put math and physics together to obtain a numerical or algebraic result and then interpret these results physically. These skills are important and will be needed in more advanced science and engineering courses. However, more important than developing problem-solving skills and physical-interpretation skills, the main purpose of this multi-volume series is to survey the basic concepts of classical mechanics and to provide the reader with a solid understanding of the foundational content knowledge of classical mechanics. Classical Mechanics: Kinematics and Uniformly Accelerated Motion focuses on the difference between asking, 'How does an object move?' and 'Why does an object move?'. This distinction requires a paradigm shift in the mind of the reader. Therefore, the reader must train themselves to clarify, 'Am I trying to describe how the object moves or why the object moves?'.

Classical Mechanics, Volume 3

By Gregory A DiLisi
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Morgan & Claypool Publishers
  • Isbn : 9781643273143
  • Pages : 124
  • Category : Science
  • Reads : 945
  • File Pdf: classical-mechanics-volume-3.pdf

Book Summary:

Classical Mechanics teaches readers how to solve physics problems; in other words, how to put math and physics together to obtain a numerical or algebraic result and then interpret these results physically. These skills are important and will be needed in more advanced science and engineering courses. However, more important than developing problem-solving skills and physical-interpretation skills, the main purpose of this multi-volume series is to survey the basic concepts of classical mechanics and to provide the reader with a solid understanding of the foundational content knowledge of classical mechanics. Classical Mechanics: Newton's Laws and Uniform Circular Motion focuses on the question: 'Why does an object move?'. To answer that question, we turn to Isaac Newton. The hallmark of any good introductory physics series is its treatment of Newton's laws of motion. These laws are difficult concepts for most readers for a number of reasons: they have a reputation as being difficult concepts; they require the mastery of multiple sub-skills; and problems involving these laws can be cast in a variety of formats.

Classical Mechanics, Volume 4

By Gregory A DiLisi
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Morgan & Claypool Publishers
  • Isbn : 9781643273020
  • Pages : 76
  • Category : Science
  • Reads : 967
  • File Pdf: classical-mechanics-volume-4.pdf

Book Summary:

Classical Mechanics teaches readers how to solve physics problems; in other words, how to put math and physics together to obtain a numerical or algebraic result and then interpret these results physically. These skills are important and will be needed in more advanced science and engineering courses. However, more important than developing problem-solving skills and physical-interpretation skills, the main purpose of this multi-volume series is to survey the basic concepts of classical mechanics and to provide the reader with a solid understanding of the foundational content knowledge of classical mechanics. Classical Mechanics: The Universal Law of Gravitation focuses on the notion that forces act through their associated fields, which is first introduced when discussing Newton's universal law of gravitation. A huge conceptual leap is required from the reader: an object can cause another object to move without even touching it. This is a difficult concept to reconcile with our everyday experiences but it makes perfect sense when we realize that is exactly how the Earth acts on us. Gravity is able to pull on us even though we are not in direct contact with the Earth. Also, the concept of super-position (and when it is applicable) is introduced. Super-position is crucial to the development of problem-solving skills so it will be illustrated in a number of example problems.

Classical Mechanics, Volume 1

By Gregory A DiLisi
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : Morgan & Claypool Publishers
  • Isbn : 9781643273204
  • Pages : 80
  • Category : Science
  • Reads : 340
  • File Pdf: classical-mechanics-volume-1.pdf

Book Summary:

Classical Mechanics teaches readers how to solve physics problems; in other words, how to put math and physics together to obtain a numerical or algebraic result and then interpret these results physically. These skills are important and will be needed in more advanced science and engineering courses. However, more important than developing problem-solving skills and physical-interpretation skills, the main purpose of this multi-volume series is to survey the basic concepts of classical mechanics and to provide the reader with a solid understanding of the foundational content knowledge of classical mechanics. Classical Mechanics: Tools and Vectors is simply about transmitting information. The conventions used to transmit certain types of numerical information are crucial concepts that must be addressed at the outset of any series on classical mechanics by discussing scalars versus vectors for example.

Classical Mechanics and Electrodynamics

By Jon Magne Leinaas
  • Format : Pdf, ePub, Mobi, Kindle
  • Publisher : World Scientific Publishing Company
  • Isbn : 9789813279384
  • Pages : 364
  • Category : Science
  • Reads : 303
  • File Pdf: classical-mechanics-and-electrodynamics.pdf

Book Summary:

The book gives a general introduction to classical theoretical physics, in the fields of mechanics, relativity and electromagnetism. It is analytical in approach and detailed in the derivations of physical consequences from the fundamental principles in each of the fields. The book is aimed at physics students in the last year of their undergraduate or first year of their graduate studies. The text is illustrated with many figures, most of these in color. There are many useful examples and exercises which complement the derivations in the text.