Advanced Theoretical Mechanics

Author : Bijan Bagchi
Publisher : CRC Press
Page : 260 pages
File Size : 53,8 Mb
Release : 2017-05-08
Category : Mathematics
ISBN : 9781351690430

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Advanced Classical Mechanics by Bijan Bagchi Pdf

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.

Author : Brian H. Chirgwin,Charles Plumpton
Publisher : Unknown
Page : 509 pages
File Size : 41,8 Mb
Release : 1966
Category : Mechanics, Analytic
ISBN : OCLC:254772130

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Advanced Theoretical Mechanics by Brian H. Chirgwin,Charles Plumpton Pdf

Author : Brian H. Chirgwin,Charles Plumpton
Publisher : Elsevier
Page : 518 pages
File Size : 48,5 Mb
Release : 2013-10-22
Category : Mathematics
ISBN : 9781483137407

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Advanced Theoretical Mechanics by Brian H. Chirgwin,Charles Plumpton Pdf

Advanced Theoretical Mechanics deals with advanced theoretical mechanics in three dimensions, making use of concepts and methods such as matrices, vectors, tensors, and transformation methods. The definition of a vector via the transformation law obeyed by its components is emphasized, and matrix methods are used to handle sets of components. Special attention is given to the definition of angular velocity and the proof that it can be represented by a vector. This book is comprised of 11 chapters and begins with an introduction to kinematics in three dimensions. Lagrange's equations and analytical dynamics are then presented, along with the simpler problems of three-dimensional dynamics, often with the help of rotating axes. Stability and small oscillations are also considered. The subsequent chapters focus on the dynamics of a particle and the motion of a system of particles; gyroscopic motion, free rotation, and steady motion; oscillations of a dynamical system with a finite number of degrees of freedom; and the vibrations of strings. The final chapter is devoted to analytical dynamics, paying particular attention to Hamilton's principle and equations of motion as well as the Hamilton-Jacobi equation. This monograph is intended for engineers and scientists as well as students of mathematics, physics, and engineering.

Author : Albrecht Lindner,Dieter Strauch
Publisher : Springer
Page : 638 pages
File Size : 49,8 Mb
Release : 2018-12-30
Category : Science
ISBN : 9783030043605

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A Complete Course on Theoretical Physics by Albrecht Lindner,Dieter Strauch Pdf

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.

Author : Alexander L. Fetter,John Dirk Walecka
Publisher : Courier Corporation
Page : 596 pages
File Size : 46,6 Mb
Release : 2003-12-16
Category : Science
ISBN : 9780486432618

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Theoretical Mechanics of Particles and Continua by Alexander L. Fetter,John Dirk Walecka Pdf

This two-part text fills what has often been a void in the first-year graduate physics curriculum. Through its examination of particles and continua, it supplies a lucid and self-contained account of classical mechanics — which in turn provides a natural framework for introducing many of the advanced mathematical concepts in physics. The text opens with Newton's laws of motion and systematically develops the dynamics of classical particles, with chapters on basic principles, rotating coordinate systems, lagrangian formalism, small oscillations, dynamics of rigid bodies, and hamiltonian formalism, including a brief discussion of the transition to quantum mechanics. This part of the book also considers examples of the limiting behavior of many particles, facilitating the eventual transition to a continuous medium. The second part deals with classical continua, including chapters on string membranes, sound waves, surface waves on nonviscous fluids, heat conduction, viscous fluids, and elastic media. Each of these self-contained chapters provides the relevant physical background and develops the appropriate mathematical techniques, and problems of varying difficulty appear throughout the text.

Author : Michael Spivak
Publisher : Unknown
Page : 733 pages
File Size : 45,7 Mb
Release : 2010
Category : Mechanics
ISBN : 0914098322

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Physics for Mathematicians by Michael Spivak Pdf

Author : T. M. Helliwell,V. V. Sahakian
Publisher : Cambridge University Press
Page : 709 pages
File Size : 41,7 Mb
Release : 2020-12-10
Category : Science
ISBN : 9781108834971

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Modern Classical Mechanics by T. M. Helliwell,V. V. Sahakian Pdf

Presents classical mechanics as a thriving field with strong connections to modern physics, with numerous worked examples and homework problems.

Author : Reiner M. Dreizler,Cora S. Lüdde
Publisher : Springer Science & Business Media
Page : 402 pages
File Size : 47,5 Mb
Release : 2010-10-28
Category : Science
ISBN : 9783642111389

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Theoretical Mechanics by Reiner M. Dreizler,Cora S. Lüdde Pdf

This book is the first of a series covering the major topics that are taught in university courses in Theoretical Physics: Mechanics, Electrodynamics, Quantum Theory and Statistical Physics. After an introduction to basic concepts of mechanics more advanced topics build the major part of this book. Interspersed is a discussion of selected problems of motion. This is followed by a concise treatment of the Lagrangian and the Hamiltonian formulation of mechanics, as well as a brief excursion on chaotic motion. The last chapter deals with applications of the Lagrangian formulation to specific systems (coupled oscillators, rotating coordinate systems, rigid bodies). The level of the last sections is advanced. The text is accompanied by an extensive collection of online material, in which the possibilities of the electronic medium are fully exploited, e.g. in the form of applets, 2D- and 3D-animations. It contains: A collection of 74 problems with detailed step-by-step guidance towards the solutions, a collection of comments and additional mathematical details in support of the main text, a complete presentation of all the mathematical tools needed.

Author : Joseph Sweetman Ames,Francis Dominic Murnaghan
Publisher : Unknown
Page : 506 pages
File Size : 44,7 Mb
Release : 1958
Category : Science
ISBN : UVA:X001322356

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Theoretical Mechanics by Joseph Sweetman Ames,Francis Dominic Murnaghan Pdf

A mathematically rigorous development of theoretical mechanics for the advanced student, with constant practical applications. Used in hundreds of advanced courses. An unusually thorough coverage of gyroscopic and baryscopic material, detailed analysis of the Coriolis acceleration, applications of Lagrange's equations, motion of the double pendulum, Hamilton-Jacobi partial differential equations, group velocity and dispersion, etc. Special relativity is also included.

Author : Ruggero Maria Santilli
Publisher : Springer
Page : 266 pages
File Size : 53,7 Mb
Release : 1984-01-01
Category : Science
ISBN : 3662236834

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Foundations of Theoretical Mechanics I by Ruggero Maria Santilli Pdf

The objective of this monograph is to present some methodological foundations of theoretical mechanics that are recommendable to graduate students prior to, or jointly with, the study of more advanced topics such as statistical mechanics, thermodynamics, and elementary particle physics. A program of this nature is inevitably centered on the methodological foundations for Newtonian systems, with particular reference to the central equations of our theories, that is, Lagrange's and Hamilton's equations. This program, realized through a study of the analytic representations in terms of Lagrange's and Hamilton's equations of generally nonconservative Newtonian systems (namely, systems with Newtonian forces not necessarily derivable from a potential function), falls within the context of the so-called Inverse Problem, and consists of three major aspects: l. The study of the necessary and sufficient conditions for the existence of a Lagrangian or Hamiltonian representation of given equations of motion with arbitrary forces; 2. The identification of the methods for the construction of a Lagrangian or Hamiltonian from given equations of motion verifying conditions 1; and 3 The analysis of the significance of the underlying methodology for other aspects of Newtonian Mechanics, e. g. , transformation theory, symmetries, and first integrals for nonconservative Newtonian systems. This first volume is devoted to the foundations of the Inverse Problem, with particular reference to aspects I and 2.

Author : Sarada G. Rajeev,S. G. Rajeev
Publisher : Oxford University Press
Page : 180 pages
File Size : 49,9 Mb
Release : 2013-07-25
Category : Mathematics
ISBN : 9780199670857

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Advanced Mechanics by Sarada G. Rajeev,S. G. Rajeev Pdf

This book can be used as a textbook for a graduate course on mechanics or for self-study. There are a variety of problems ranging from exercises that verify parts of the text, moderately difficult calculations, to suggested research projects. Connections to other disciplines of mathematics and physics are emphasized.

Author : Sanford Walton Groesberg
Publisher : Unknown
Page : 472 pages
File Size : 49,5 Mb
Release : 1968
Category : Mechanics, Analytic
ISBN : UOM:39015002098773

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Advanced Mechanics by Sanford Walton Groesberg Pdf

Author : David Morin
Publisher : Cambridge University Press
Page : 713 pages
File Size : 50,7 Mb
Release : 2008-01-10
Category : Science
ISBN : 9781139468374

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Introduction to Classical Mechanics by David Morin Pdf

This textbook covers all the standard introductory topics in classical mechanics, including Newton's laws, oscillations, energy, momentum, angular momentum, planetary motion, and special relativity. It also explores more advanced topics, such as normal modes, the Lagrangian method, gyroscopic motion, fictitious forces, 4-vectors, and general relativity. It contains more than 250 problems with detailed solutions so students can easily check their understanding of the topic. There are also over 350 unworked exercises which are ideal for homework assignments. Password protected solutions are available to instructors at www.cambridge.org/9780521876223. The vast number of problems alone makes it an ideal supplementary text for all levels of undergraduate physics courses in classical mechanics. Remarks are scattered throughout the text, discussing issues that are often glossed over in other textbooks, and it is thoroughly illustrated with more than 600 figures to help demonstrate key concepts.

Author : Nikolai Nikolaevich Polyakhov,Mikhail Petrovich Yushkov,Sergey Andreevich Zegzhda
Publisher : Springer Nature
Page : 526 pages
File Size : 48,5 Mb
Release : 2021-08-30
Category : Technology & Engineering
ISBN : 9783030640613

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Rational and Applied Mechanics by Nikolai Nikolaevich Polyakhov,Mikhail Petrovich Yushkov,Sergey Andreevich Zegzhda Pdf

Available for the first time in English, this two-volume course on theoretical and applied mechanics has been honed over decades by leading scientists and teachers, and is a primary teaching resource for engineering and maths students at St. Petersburg University. The course addresses classical branches of theoretical mechanics (Vol. 1), along with a wide range of advanced topics, special problems and applications (Vol. 2). This first volume of the textbook contains the parts “Kinematics” and “Dynamics”. The part “Kinematics” presents in detail the theory of curvilinear coordinates which is actively used in the part “Dynamics”, in particular, in the theory of constrained motion and variational principles in mechanics. For describing the motion of a system of particles, the notion of a Hertz representative point is used, and the notion of a tangent space is applied to investigate the motion of arbitrary mechanical systems. In the final chapters Hamilton-Jacobi theory is applied​ for the integration of equations of motion, and the elements of special relativity theory are presented. This textbook is aimed at students in mathematics and mechanics and at post-graduates and researchers in analytical mechanics.

Author : Leonard Susskind,George Hrabovsky
Publisher : Basic Books
Page : 165 pages
File Size : 40,6 Mb
Release : 2014-04-22
Category : Education
ISBN : 9780465038923

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The Theoretical Minimum by Leonard Susskind,George Hrabovsky Pdf

A master teacher presents the ultimate introduction to classical mechanics for people who are serious about learning physics "Beautifully clear explanations of famously 'difficult' things," -- Wall Street Journal If you ever regretted not taking physics in college -- or simply want to know how to think like a physicist -- this is the book for you. In this bestselling introduction to classical mechanics, physicist Leonard Susskind and hacker-scientist George Hrabovsky offer a first course in physics and associated math for the ardent amateur. Challenging, lucid, and concise, The Theoretical Minimum provides a tool kit for amateur scientists to learn physics at their own pace.