Introduction to Theoretical Mechanics
Author : Robert A. Becker
Publisher :
Page : 420 pages
File Size : 14,25 MB
Release : 2003-01
Category :
ISBN : 9780758184931
Author : Robert A. Becker
Publisher :
Page : 420 pages
File Size : 14,25 MB
Release : 2003-01
Category :
ISBN : 9780758184931
Author : John Dirk Walecka
Publisher : World Scientific
Page : 184 pages
File Size : 37,45 MB
Release : 2020-02-26
Category : Science
ISBN : 9811217459
This textbook aims to provide a clear and concise set of lectures that take one from the introduction and application of Newton's laws up to Hamilton's principle of stationary action and the lagrangian mechanics of continuous systems. An extensive set of accessible problems enhances and extends the coverage.It serves as a prequel to the author's recently published book entitled Introduction to Electricity and Magnetism based on an introductory course taught sometime ago at Stanford with over 400 students enrolled. Both lectures assume a good, concurrent, course in calculus and familiarity with basic concepts in physics; the development is otherwise self-contained.A good introduction to the subject allows one to approach the many more intermediate and advanced texts with better understanding and a deeper sense of appreciation that both students and teachers alike can share.
Author : Alexander L. Fetter
Publisher : Courier Corporation
Page : 596 pages
File Size : 42,20 MB
Release : 2003-12-16
Category : Science
ISBN : 0486432610
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 : Joseph Sweetman Ames
Publisher :
Page : 480 pages
File Size : 43,48 MB
Release : 1929
Category : Mathematical physics
ISBN :
Author : Dieter Strauch
Publisher : Springer Science & Business Media
Page : 414 pages
File Size : 37,18 MB
Release : 2009-06-07
Category : Science
ISBN : 3540736166
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.
Author : Wolfgang Nolting
Publisher : Springer
Page : 540 pages
File Size : 46,9 MB
Release : 2016-06-28
Category : Science
ISBN : 3319401084
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 : V.I. Arnol'd
Publisher : Springer Science & Business Media
Page : 530 pages
File Size : 38,36 MB
Release : 2013-04-09
Category : Mathematics
ISBN : 1475720637
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.
Author : Michael Spivak
Publisher :
Page : 733 pages
File Size : 34,33 MB
Release : 2010
Category : Mechanics
ISBN : 9780914098324
Author : Jakob Schwichtenberg
Publisher : No-Nonsense Books
Page : 393 pages
File Size : 46,71 MB
Release : 2019-04-30
Category : Science
ISBN :
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.
Author : Reinhard Hentschke
Publisher : Springer
Page : 385 pages
File Size : 49,93 MB
Release : 2016-12-30
Category : Science
ISBN : 3319487108
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.