Theoretical Mechanics

Author : Alexander L. Fetter,John Dirk Walecka
Publisher : Courier Corporation
Page : 596 pages
File Size : 41,9 Mb
Release : 2003-12-16
Category : Science
ISBN : 9780486432618

Get Book

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 : 41,7 Mb
Release : 2010
Category : Mechanics
ISBN : 0914098322

Get Book

Physics for Mathematicians by Michael Spivak Pdf

Author : Ruggero Maria Santilli
Publisher : Springer
Page : 266 pages
File Size : 42,9 Mb
Release : 1984-01-01
Category : Science
ISBN : 3662236834

Get Book

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 : Eugene J. Saletan,Alan H. Cromer
Publisher : John Wiley & Sons
Page : 394 pages
File Size : 47,5 Mb
Release : 1971
Category : Science
ISBN : UOM:39015036999434

Get Book

Theoretical Mechanics by Eugene J. Saletan,Alan H. Cromer Pdf

Author : John R. Taylor
Publisher : Unknown
Page : 128 pages
File Size : 41,6 Mb
Release : 2004-09-15
Category : Science
ISBN : 1891389920

Get Book

Classical Mechanics by John R. Taylor Pdf

ClassicalMechanics is intended for students who have studied some mechanics in anintroductory physics course.With unusual clarity, the book covers most of the topics normally found in books at this level.

Author : Gerald Jay Sussman,Jack Wisdom
Publisher : MIT Press
Page : 580 pages
File Size : 49,7 Mb
Release : 2015-02-06
Category : Science
ISBN : 9780262028967

Get Book

Structure and Interpretation of Classical Mechanics, second edition by Gerald Jay Sussman,Jack Wisdom Pdf

The new edition of a classic text that concentrates on developing general methods for studying the behavior of classical systems, with extensive use of computation. We now know that there is much more to classical mechanics than previously suspected. Derivations of the equations of motion, the focus of traditional presentations of mechanics, are just the beginning. This innovative textbook, now in its second edition, concentrates on developing general methods for studying the behavior of classical systems, whether or not they have a symbolic solution. It focuses on the phenomenon of motion and makes extensive use of computer simulation in its explorations of the topic. It weaves recent discoveries in nonlinear dynamics throughout the text, rather than presenting them as an afterthought. Explorations of phenomena such as the transition to chaos, nonlinear resonances, and resonance overlap to help the student develop appropriate analytic tools for understanding. The book uses computation to constrain notation, to capture and formalize methods, and for simulation and symbolic analysis. The requirement that the computer be able to interpret any expression provides the student with strict and immediate feedback about whether an expression is correctly formulated. This second edition has been updated throughout, with revisions that reflect insights gained by the authors from using the text every year at MIT. In addition, because of substantial software improvements, this edition provides algebraic proofs of more generality than those in the previous edition; this improvement permeates the new edition.

Author : Wolfgang Nolting
Publisher : Springer
Page : 528 pages
File Size : 54,9 Mb
Release : 2016-06-28
Category : Science
ISBN : 9783319401089

Get Book

Theoretical Physics 1 by Wolfgang Nolting Pdf

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.

Author : Augustus Edward Hough Love
Publisher : Unknown
Page : 330 pages
File Size : 47,5 Mb
Release : 1897
Category : Dynamics
ISBN : UOM:39015063593100

Get Book

Theoretical Mechanics by Augustus Edward Hough Love Pdf

Author : Leonard Susskind,George Hrabovsky
Publisher : Basic Books
Page : 165 pages
File Size : 46,6 Mb
Release : 2014-04-22
Category : Education
ISBN : 9780465038923

Get Book

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.

Author : Julius Ludwig Weisbach
Publisher : Unknown
Page : 1172 pages
File Size : 47,5 Mb
Release : 1875
Category : Mechanical engineering
ISBN : HARVARD:32044092015403

Get Book

Theoretical Mechanics by Julius Ludwig Weisbach Pdf

Author : A. E. H. Love
Publisher : Cambridge University Press
Page : 329 pages
File Size : 46,8 Mb
Release : 2015-12-03
Category : History
ISBN : 9781107593459

Get Book

Theoretical Mechanics by A. E. H. Love Pdf

Originally published in 1921, this book is a textbook of dynamics for students with some knowledge of differential and integral calculus.

Author : J.T. Oden,J.N. Reddy
Publisher : Springer Science & Business Media
Page : 313 pages
File Size : 53,8 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9783642963124

Get Book

Variational Methods in Theoretical Mechanics by J.T. Oden,J.N. Reddy Pdf

This is a textbook written for use in a graduate-level course for students of mechanics and engineering science. It is designed to cover the essential features of modern variational methods and to demonstrate how a number of basic mathematical concepts can be used to produce a unified theory of variational mechanics. As prerequisite to using this text, we assume that the student is equipped with an introductory course in functional analysis at a level roughly equal to that covered, for example, in Kolmogorov and Fomin (Functional Analysis, Vol. I, Graylock, Rochester, 1957) and possibly a graduate-level course in continuum mechanics. Numerous references to supplementary material are listed throughout the book. We are indebted to Professor Jim Douglas of the University of Chicago, who read an earlier version of the manuscript and whose detailed suggestions were extremely helpful in preparing the final draft. He also gratefully acknowledge that much of our own research work on variational theory was supported by the U.S. Air Force Office of Scientific Research. He are indebted to Mr. Ming-Goei Sheu for help in proofreading. Finally, we wish to express thanks to Mrs. Marilyn Gude for her excellent and pains taking job of typing the manuscript. J. T. ODEN J. N. REDDY Table of Contents PREFACE 1. INTRODUCTION 1.1 The Role of Variational Theory in Mechanics. 1 1.2 Some Historical Comments ......... . 2 1.3 Plan of Study ............... . 5 7 2. MATHEMATICAL FOUNDATIONS OF CLASSICAL VARIATIONAL THEORY 7 2.1 Introduction . . . . . . . .

Author : Jianlin Liu
Publisher : Springer
Page : 150 pages
File Size : 52,7 Mb
Release : 2019-06-05
Category : Technology & Engineering
ISBN : 9789811380358

Get Book

Lecture Notes on Theoretical Mechanics by Jianlin Liu Pdf

This book addresses a range of basic and essential topics, selected from the author's teaching and research activities, offering a comprehensive guide in three parts: Statics, Kinematics and Kinetics. Chapter 1 briefly discusses the history of classical and modern mechanics, while Chapter 2, presents preliminary knowledge, preparing readers for the subsequent chapters. Chapters 3 to 7 introduce statics, force analysis, simplification of force groups, equilibrium of the general coplanar force group, and the center of the parallel force group. The Kinematics section (Chapters 8 to 10), covers the motion of a particle, basic motion and planar motion of a rigid body. Lastly, the Kinetics section (Chapters 11 to 14) explores Newton’s law of motion, theorem of momentum, theorem of angular momentum, and theorem of kinetic energy. With numerous examples from engineering, illustrations, and step-by-step tutorials, the book is suitable for both classroom use and self-study. After completing the course, students will be able to simplify complex engineering structures and perform force and motion analyses on particles and structures, preparing them for further study and research. The book can be used as a textbook for undergraduate courses on fundamental aspects of theoretical mechanics, such as aerospace, mechanical engineering, petroleum engineering, automotive and civil engineering, as well as material science and engineering.

Author : Brian H. Chirgwin,Charles Plumpton
Publisher : Elsevier
Page : 518 pages
File Size : 42,5 Mb
Release : 2013-10-22
Category : Mathematics
ISBN : 9781483137407

Get Book

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 : Thomas Jackson
Publisher : Unknown
Page : 338 pages
File Size : 53,8 Mb
Release : 1827
Category : Dynamics
ISBN : NYPL:33433034339592

Get Book

Elements of Theoretical Mechanics by Thomas Jackson Pdf