Structure And Interpretation Of Classical Mechanics

Author : Gerald Jay Sussman,Jack Wisdom
Publisher : MIT Press
Page : 580 pages
File Size : 47,6 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 : Harold Abelson,Gerald Jay Sussman
Publisher : MIT Press
Page : 685 pages
File Size : 46,6 Mb
Release : 1996-07-25
Category : Computers
ISBN : 9780262510875

Get Book

Structure and Interpretation of Computer Programs, second edition by Harold Abelson,Gerald Jay Sussman Pdf

Structure and Interpretation of Computer Programs has had a dramatic impact on computer science curricula over the past decade. This long-awaited revision contains changes throughout the text. There are new implementations of most of the major programming systems in the book, including the interpreters and compilers, and the authors have incorporated many small changes that reflect their experience teaching the course at MIT since the first edition was published. A new theme has been introduced that emphasizes the central role played by different approaches to dealing with time in computational models: objects with state, concurrent programming, functional programming and lazy evaluation, and nondeterministic programming. There are new example sections on higher-order procedures in graphics and on applications of stream processing in numerical programming, and many new exercises. In addition, all the programs have been reworked to run in any Scheme implementation that adheres to the IEEE standard.

Author : R. I. G. Hughes
Publisher : Harvard University Press
Page : 388 pages
File Size : 41,8 Mb
Release : 1989
Category : Philosophy
ISBN : 0674843924

Get Book

The Structure and Interpretation of Quantum Mechanics by R. I. G. Hughes Pdf

This important work provides an account of the philosophical foundations of quantum theory that should become a classic text for scientists and nonscientists alike. Hughes offers the first detailed and accessible analysis of the Hilbert-space models used in quantum theory and explains why they are so successful. He goes on to show how the very suitability of Hilbert spaces for modeling the quantum world gives rise to deep problems of interpretation, and makes suggestions about how they can be overcome.

Author : T. W. B. Kibble,Frank H. Berkshire
Publisher : Imperial College Press
Page : 504 pages
File Size : 50,7 Mb
Release : 2004
Category : Science
ISBN : 1860944353

Get Book

Classical Mechanics by T. W. B. Kibble,Frank H. Berkshire Pdf

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.

Author : Gerald Jay Sussman,Jack Wisdom
Publisher : MIT Press
Page : 249 pages
File Size : 44,6 Mb
Release : 2013-07-05
Category : Mathematics
ISBN : 9780262019347

Get Book

Functional Differential Geometry by Gerald Jay Sussman,Jack Wisdom Pdf

An explanation of the mathematics needed as a foundation for a deep understanding of general relativity or quantum field theory. Physics is naturally expressed in mathematical language. Students new to the subject must simultaneously learn an idiomatic mathematical language and the content that is expressed in that language. It is as if they were asked to read Les Misérables while struggling with French grammar. This book offers an innovative way to learn the differential geometry needed as a foundation for a deep understanding of general relativity or quantum field theory as taught at the college level. The approach taken by the authors (and used in their classes at MIT for many years) differs from the conventional one in several ways, including an emphasis on the development of the covariant derivative and an avoidance of the use of traditional index notation for tensors in favor of a semantically richer language of vector fields and differential forms. But the biggest single difference is the authors' integration of computer programming into their explanations. By programming a computer to interpret a formula, the student soon learns whether or not a formula is correct. Students are led to improve their program, and as a result improve their understanding.

Author : P. C. Deshmukh
Publisher : Cambridge University Press
Page : 591 pages
File Size : 40,6 Mb
Release : 2019-12-12
Category : Mathematics
ISBN : 9781108480567

Get Book

Foundations of Classical Mechanics by P. C. Deshmukh Pdf

The book aims at speeding up undergraduates to attain interest in advanced concepts and methods in science and engineering.

Author : Carl F. von Weizsäcker
Publisher : Springer Science & Business Media
Page : 390 pages
File Size : 52,8 Mb
Release : 2007-01-15
Category : Science
ISBN : 9781402052354

Get Book

The Structure of Physics by Carl F. von Weizsäcker Pdf

The book is a newly arranged and revised English version of "Aufbau der Physik" by Carl Friedrich von Weizsäcker. Some original chapters and sections have been deleted, and a new chapter about further insights and results of ur-theoretic research of the late 1980’s and 1990’s has been included. Carl Friedrich von Weizsäcker combines the perspectives of science, philosophy, religion and politics with a view towards the challenges as well as the responsibilities of our time.

Author : Jerry B. Marion
Publisher : Academic Press
Page : 592 pages
File Size : 50,6 Mb
Release : 2013-10-22
Category : Science
ISBN : 9781483272818

Get Book

Classical Dynamics of Particles and Systems by Jerry B. Marion Pdf

Classical Dynamics of Particles and Systems presents a modern and reasonably complete account of the classical mechanics of particles, systems of particles, and rigid bodies for physics students at the advanced undergraduate level. The book aims to present a modern treatment of classical mechanical systems in such a way that the transition to the quantum theory of physics can be made with the least possible difficulty; to acquaint the student with new mathematical techniques and provide sufficient practice in solving problems; and to impart to the student some degree of sophistication in handling both the formalism of the theory and the operational technique of problem solving. Vector methods are developed in the first two chapters and are used throughout the book. Other chapters cover the fundamentals of Newtonian mechanics, the special theory of relativity, gravitational attraction and potentials, oscillatory motion, Lagrangian and Hamiltonian dynamics, central-force motion, two-particle collisions, and the wave equation.

Author : Walter Greiner
Publisher : Springer Science & Business Media
Page : 580 pages
File Size : 48,7 Mb
Release : 2009-11-13
Category : Science
ISBN : 9783642034343

Get Book

Classical Mechanics by Walter Greiner Pdf

The series of texts on Classical Theoretical Physics is based on the highly successful courses given by Walter Greiner. The volumes provide a complete survey of classical theoretical physics and an enormous number of worked out examples and problems.

Author : Ralph Abraham
Publisher : CRC Press
Page : 849 pages
File Size : 49,9 Mb
Release : 2019-04-24
Category : Science
ISBN : 9780429689048

Get Book

Foundations Of Mechanics by Ralph Abraham Pdf

Foundations of Mechanics is a mathematical exposition of classical mechanics with an introduction to the qualitative theory of dynamical systems and applications to the two-body problem and three-body problem.

Author : Jakob Schwichtenberg
Publisher : No-Nonsense Books
Page : 393 pages
File Size : 43,5 Mb
Release : 2019-04-30
Category : Science
ISBN : 8210379456XXX

Get Book

No-Nonsense Classical Mechanics by Jakob Schwichtenberg Pdf

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 : O.L. de Lange,J. Pierrus
Publisher : Oxford University Press
Page : 608 pages
File Size : 54,5 Mb
Release : 2010-05-06
Category : Mathematics
ISBN : 9780199582525

Get Book

Solved Problems in Classical Mechanics by O.L. de Lange,J. Pierrus Pdf

simulated motion on a computer screen, and to study the effects of changing parameters. --

Author : E C G Sudarshan,N Mukunda
Publisher : World Scientific Publishing Company
Page : 612 pages
File Size : 43,5 Mb
Release : 2015-10-08
Category : Science
ISBN : 9789814713894

Get Book

Classical Dynamics by E C G Sudarshan,N Mukunda Pdf

Classical dynamics is traditionally treated as an early stage in the development of physics, a stage that has long been superseded by more ambitious theories. Here, in this book, classical dynamics is treated as a subject on its own as well as a research frontier. Incorporating insights gained over the past several decades, the essential principles of classical dynamics are presented, while demonstrating that a number of key results originally considered only in the context of quantum theory and particle physics, have their foundations in classical dynamics. Graduate students in physics and practicing physicists will welcome the present approach to classical dynamics that encompasses systems of particles, free and interacting fields, and coupled systems. Lie groups and Lie algebras are incorporated at a basic level and are used in describing space-time symmetry groups. There is an extensive discussion on constrained systems, Dirac brackets and their geometrical interpretation. The Lie-algebraic description of dynamical systems is discussed in detail, and Poisson brackets are developed as a realization of Lie brackets. Other topics include treatments of classical spin, elementary relativistic systems in the classical context, irreducible realizations of the Galileo and Poincaré groups, and hydrodynamics as a Galilean field theory. Students will also find that this approach that deals with problems of manifest covariance, the no-interaction theorem in Hamiltonian mechanics and the structure of action-at-a-distance theories provides all the essential preparatory groundwork for a passage to quantum field theory. This reprinting of the original text published in 1974 is a testimony to the vitality of the contents that has remained relevant over nearly half a century.

Author : Mark Steedman
Publisher : Mit Press
Page : 126 pages
File Size : 49,8 Mb
Release : 1996
Category : Language Arts & Disciplines
ISBN : 0262691930

Get Book

Surface Structure and Interpretation by Mark Steedman Pdf

The core of the book is a detailed treatment of extraction, a focus of syntactic research since the early work of Chomsky and Ross.

Author : Gerald Jay Sussman
Publisher : Unknown
Page : 554 pages
File Size : 44,5 Mb
Release : 2014
Category : Electronic book
ISBN : OCLC:1066540605

Get Book

Structure and Interpretation of Classical Mechanics by Gerald Jay Sussman Pdf