Classical Mechanics

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Classical Mechanics

Classical Mechanics [Pdf/ePub] eBook ISBN-10: 1911298283
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Publisher: World Scientific Publishing Company
File Size: 1736 KB
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Classical Mechanics by Book Resume:

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.

Classical Mechanics

Classical Mechanics [Pdf/ePub] eBook ISBN-10: 3540736166
Author: Dieter Strauch
Publisher: Springer Science & Business Media
File Size: 1839 KB
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Read Count: 5277366

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Classical Mechanics by Dieter Strauch Book Resume:

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

Classical Mechanics [Pdf/ePub] eBook ISBN-10: 3319687808
Author: Matthew J. Benacquista,Joseph D. Romano
Publisher: Springer
File Size: 1617 KB
File Format: Pdf
Read Count: 6731645

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Classical Mechanics by Matthew J. Benacquista,Joseph D. Romano Book Resume:

This textbook provides an introduction to classical mechanics at a level intermediate between the typical undergraduate and advanced graduate level. This text describes the background and tools for use in the fields of modern physics, such as quantum mechanics, astrophysics, particle physics, and relativity. Students who have had basic undergraduate classical mechanics or who have a good understanding of the mathematical methods of physics will benefit from this book.

No-Nonsense Classical Mechanics

No-Nonsense Classical Mechanics [Pdf/ePub] eBook ISBN-10:
Author: Jakob Schwichtenberg
Publisher: No-Nonsense Books
File Size: 1002 KB
File Format: Pdf
Read Count: 5018243

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No-Nonsense Classical Mechanics by Jakob Schwichtenberg Book Resume:

Learning classical mechanics doesn’t have to be hard What if there was a way to learn classical mechanics without all the usual fluff? What if there were a book that allowed you to see the whole picture and not just tiny parts of it? Thoughts like this are the reason that No-Nonsense Classical Mechanics now exists. What will you learn from this book? Get to know all fundamental mechanics concepts — Grasp why we can describe classical mechanics using the Lagrangian formalism, the Newtonian formalism, or the Hamiltonian formalism and how these frameworks are connected.Learn to describe classical mechanics mathematically — Understand the meaning and origin of the most important equations: Newton's second law, the Euler-Lagrange equation and Hamilton's equations.Master the most important classical mechanics systems — Read fully annotated, step-by-step calculations and understand the general algorithm we use to describe them.Get an understanding you can be proud of — Learn about beautiful and deep insights like Noether's theorem or Liouville's theorem and how classical mechanics emerges in a proper limit of special relativity, quantum mechanics and general relativity. No-Nonsense Classical Mechanics is the most student-friendly book on classical nechanics ever written. Here’s why. First of all, it's is nothing like a formal university lecture. Instead, it’s like a casual conservation with a more experienced student. This also means that nothing is assumed to be “obvious” or “easy to see”.Each chapter, each section, and each page focuses solely on the goal to help you understand. Nothing is introduced without a thorough motivation and it is always clear where each equation comes from.The book contains no fluff since unnecessary content quickly leads to confusion. Instead, it ruthlessly focuses on the fundamentals and makes sure you’ll understand them in detail. The primary focus on the readers’ needs is also visible in dozens of small features that you won’t find in any other textbook In total, the book contains more than 100 illustrations that help you understand the most important concepts visually. In each chapter, you’ll find fully annotated equations and calculations are done carefully step-by-step. This makes it much easier to understand what’s going on in.Whenever a concept is used that was already introduced previously there is a short sidenote that reminds you where it was first introduced and often recites the main points. In addition, there are summaries at the beginning of each chapter that make sure you won’t get lost.

Mathematical Methods of Classical Mechanics

Mathematical Methods of Classical Mechanics [Pdf/ePub] eBook ISBN-10: 1475716931
Author: V. I. Arnold
Publisher: Springer Science & Business Media
File Size: 1468 KB
File Format: Pdf
Read Count: 2681487

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Mathematical Methods of Classical Mechanics by V. I. Arnold Book Resume:

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.

Essential Classical Mechanics

Essential Classical Mechanics [Pdf/ePub] eBook ISBN-10: 9813234660
Author: Choonkyu Lee,Hyunsoo Min
Publisher: World Scientific Publishing Company
File Size: 1650 KB
File Format: Pdf
Read Count: 4416744

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Essential Classical Mechanics by Choonkyu Lee,Hyunsoo Min Book Resume:

Classical Mechanics

Classical Mechanics [Pdf/ePub] eBook ISBN-10: 3319487108
Author: Reinhard Hentschke
Publisher: Springer
File Size: 1852 KB
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Read Count: 565879

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Classical Mechanics by Reinhard Hentschke Book Resume:

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.

Mathematical Methods of Classical Mechanics

Mathematical Methods of Classical Mechanics [Pdf/ePub] eBook ISBN-10: 1475720637
Author: V.I. Arnol'd
Publisher: Springer Science & Business Media
File Size: 1400 KB
File Format: Pdf
Read Count: 271738

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Mathematical Methods of Classical Mechanics by V.I. Arnol'd Book Resume:

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

Classical Mechanics [Pdf/ePub] eBook ISBN-10: 0486140784
Author: H.C. Corben,Philip Stehle
Publisher: Courier Corporation
File Size: 1849 KB
File Format: Pdf
Read Count: 6529583

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Classical Mechanics by H.C. Corben,Philip Stehle Book Resume:

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.

CLASSICAL MECHANICS

CLASSICAL MECHANICS [Pdf/ePub] eBook ISBN-10: 8120333314
Author: G. ARULDHAS
Publisher: PHI Learning Pvt. Ltd.
File Size: 1502 KB
File Format: Pdf
Read Count: 1923443

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CLASSICAL MECHANICS by G. ARULDHAS Book Resume:

This book offers an in-depth presentation of the mechanics of particles and systems. The material is thoroughly class-tested and hence eminently suitable as a textbook for a one-semester course in Classical Mechanics for postgraduate students of physics and mathematics. Besides, the book can serve as a useful reference for engineering students at the postgraduate level. The book provides not only a complete treatment of classical theoretical physics but also an enormous number of worked examples and problems to show students clearly how to apply abstract principles and mathematical techniques to realistic problems. While abstraction of theory is minimized, detailed mathematical analysis is provided wherever necessary. Besides an all-embracing coverage of different aspects of classical mechanics, the rapidly growing areas of nonlinear dynamics and chaos are are also included. The chapter on Central Force Motion includes topics like satellite parameters, orbital transfers and scattering problem. An extensive treatment on the essentials of small oscillations which is crucial for the study of molecular vibrations is included. Rigid body motion and special theory of relativity are also covered in two separate chapters.

Mathematical Physics: Classical Mechanics

Mathematical Physics: Classical Mechanics [Pdf/ePub] eBook ISBN-10: 3662557746
Author: Andreas Knauf
Publisher: Springer
File Size: 866 KB
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Read Count: 6981226

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Mathematical Physics: Classical Mechanics by Andreas Knauf Book Resume:

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.

Introduction to Classical Mechanics

Introduction to Classical Mechanics [Pdf/ePub] eBook ISBN-10: 932599402X
Author: Roy, Nikhil Ranjan
Publisher: Vikas Publishing House
File Size: 633 KB
File Format: Pdf
Read Count: 6935168

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Introduction to Classical Mechanics by Roy, Nikhil Ranjan Book Resume:

The book deals with the mechanics of particles and rigid bodies. It is written for the undergraduate students of physics and meets the syllabus requirements of most Indian universities. It also covers the entire syllabus on classical/analytical mechanics for various national and state level examinations like NET, GATE and SLET. Some of the topics in the book are included in the curricula of applied mathematics in several institutions as well.KEY FEATURES• Main emphasis is on the evolution of the subject, the underlying ideas, the concepts, the laws and the mathematical methods• Written in the style of classroom teaching so that the students may benefit from it by way of self-study• Step-by-step derivation of concepts, with each step clearly numbered• Concepts explained with the help of relevant examples to aid understanding

Classical Mechanics

Classical Mechanics [Pdf/ePub] eBook ISBN-10: 3319441477
Author: Alexei Deriglazov
Publisher: Springer
File Size: 1846 KB
File Format: Pdf
Read Count: 3994711

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Classical Mechanics by Alexei Deriglazov Book Resume:

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

Classical Mechanics [Pdf/ePub] eBook ISBN-10:
Author: Peeter Joot
Publisher: Peeter Joot
File Size: 1422 KB
File Format: Pdf
Read Count: 8185603

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Classical Mechanics by Peeter Joot Book Resume:

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.

Lectures on Classical Mechanics

Lectures on Classical Mechanics [Pdf/ePub] eBook ISBN-10: 9814678473
Author: Berthold-Georg Englert
Publisher: World Scientific Publishing Company
File Size: 1917 KB
File Format: Pdf
Read Count: 9052978

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Lectures on Classical Mechanics by Berthold-Georg Englert Book Resume:

These lecture notes cover Classical Mechanics at the level of second-year undergraduates. The book offers comprehensive as well as self-contained material that can be taught in a one-semester course for students with the minimal background knowledge acquired in preuniversity education or in the usual first-year overview. The presentation does not skip the technical details which renders the book particularly well-suited for the self-studying student.

Classical Mechanics

Classical Mechanics [Pdf/ePub] eBook ISBN-10: 9401091692
Author: J.W. Leech
Publisher: Springer Science & Business Media
File Size: 1478 KB
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Read Count: 6911563

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Classical Mechanics by J.W. Leech Book Resume:

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.

Classical Mechanics

Classical Mechanics [Pdf/ePub] eBook ISBN-10: 0387218513
Author: Walter Greiner
Publisher: Springer Science & Business Media
File Size: 1261 KB
File Format: Pdf
Read Count: 8136480

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Classical Mechanics by Walter Greiner Book Resume:

Intended for advanced undergraduates and beginning graduate students, this text is based on the highly successful course given by Walter Greiner at the University of Frankfurt, Germany. The two volumes on classical mechanics provide not only a complete survey of the topic but also an enormous number of worked examples and problems to show students clearly how to apply the abstract principles to realistic problems.

Classical Mechanics

Classical Mechanics [Pdf/ePub] eBook ISBN-10: 1466570008
Author: Tai L. Chow
Publisher: CRC Press
File Size: 1622 KB
File Format: Pdf
Read Count: 2249870

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Classical Mechanics by Tai L. Chow Book Resume:

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

Classical Mechanics

Classical Mechanics [Pdf/ePub] eBook ISBN-10: 1461439787
Author: Jan Awrejcewicz,Zbigniew Koruba
Publisher: Springer Science & Business Media
File Size: 991 KB
File Format: Pdf
Read Count: 2177974

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Classical Mechanics by Jan Awrejcewicz,Zbigniew Koruba Book Resume:

This is the last book of three devoted to Mechanics, and uses the theoretical background presented in Classical Mechanics: Kinematics and Statics and Classical Mechanics: Dynamics. It focuses on exhibiting a unique approach, rooted in the classical mechanics, to study mechanical and electromagnetic processes occurring in Mechatronics. Contrary to the majority of the books devoted to Applied Mechanics, this volume places a particular emphasis on theory, modeling, analysis, and control of gyroscopic devices, including the military applications. This volume provides practicing mechanical/mechatronic engineers and designers, researchers, graduate and postgraduate students with a knowledge of mechanics focused directly on advanced applications.

Collection of Problems in Classical Mechanics

Collection of Problems in Classical Mechanics [Pdf/ePub] eBook ISBN-10: 148318661X
Author: G. L. Kotkin,V. G. Serbo
Publisher: Elsevier
File Size: 1775 KB
File Format: Pdf
Read Count: 8724582

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Collection of Problems in Classical Mechanics by G. L. Kotkin,V. G. Serbo Book Resume:

Collection of Problems in Classical Mechanics presents a set of problems and solutions in physics, particularly those involving mechanics. The coverage of the book includes 13 topics relevant to classical mechanics, such as integration of one-dimensional equations of motion; the Hamiltonian equations of motion; and adiabatic invariants. The book will be of great use to physics students studying classical mechanics.