Structure And Interpretation Of Classical Mechanics Second Edition

Author : Gerald Jay Sussman,Jack Wisdom
Publisher : MIT Press
Page : 580 pages
File Size : 49,5 Mb
Release : 2015-02-06
Category : Science
ISBN : 9780262028967

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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

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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 : Gerald Jay Sussman,Jack Wisdom
Publisher : MIT Press
Page : 249 pages
File Size : 48,8 Mb
Release : 2013-07-05
Category : Mathematics
ISBN : 9780262019347

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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 : Chris Hanson,Gerald Jay Sussman
Publisher : MIT Press
Page : 449 pages
File Size : 48,9 Mb
Release : 2021-03-09
Category : Computers
ISBN : 9780262362474

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Software Design for Flexibility by Chris Hanson,Gerald Jay Sussman Pdf

Strategies for building large systems that can be easily adapted for new situations with only minor programming modifications. Time pressures encourage programmers to write code that works well for a narrow purpose, with no room to grow. But the best systems are evolvable; they can be adapted for new situations by adding code, rather than changing the existing code. The authors describe techniques they have found effective--over their combined 100-plus years of programming experience--that will help programmers avoid programming themselves into corners. The authors explore ways to enhance flexibility by: Organizing systems using combinators to compose mix-and-match parts, ranging from small functions to whole arithmetics, with standardized interfaces Augmenting data with independent annotation layers, such as units of measurement or provenance Combining independent pieces of partial information using unification or propagation Separating control structure from problem domain with domain models, rule systems and pattern matching, propagation, and dependency-directed backtracking Extending the programming language, using dynamically extensible evaluators

Author : Gerald Jay Sussman
Publisher : Unknown
Page : 554 pages
File Size : 50,8 Mb
Release : 2014
Category : Electronic book
ISBN : OCLC:1066540605

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Structure and Interpretation of Classical Mechanics by Gerald Jay Sussman Pdf

Author : Julie Sussman,Harold Abelson,Gerald Jay Sussman
Publisher : Unknown
Page : 274 pages
File Size : 40,7 Mb
Release : 1985
Category : Computer programming
ISBN : 0262510464

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Instructor's Manual to Accompany Structure and Interpretation of Computer Programs by Julie Sussman,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.

Author : Tom W B Kibble,Frank H Berkshire
Publisher : World Scientific Publishing Company
Page : 500 pages
File Size : 46,8 Mb
Release : 2004-06-03
Category : Science
ISBN : 9781911298281

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Classical Mechanics by Tom 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. 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.

Author : P. C. Deshmukh
Publisher : Cambridge University Press
Page : 591 pages
File Size : 46,9 Mb
Release : 2019-12-12
Category : Mathematics
ISBN : 9781108480567

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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 : David Morin
Publisher : Cambridge University Press
Page : 713 pages
File Size : 51,6 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 : Jerry B. Marion
Publisher : Academic Press
Page : 592 pages
File Size : 48,8 Mb
Release : 2013-10-22
Category : Science
ISBN : 9781483272818

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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 : Carl F. von Weizsäcker
Publisher : Springer Science & Business Media
Page : 390 pages
File Size : 43,7 Mb
Release : 2007-01-15
Category : Science
ISBN : 9781402052354

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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 : O.L. de Lange,J. Pierrus
Publisher : Oxford University Press
Page : 608 pages
File Size : 41,5 Mb
Release : 2010-05-06
Category : Mathematics
ISBN : 9780199582525

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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 : R. Douglas Gregory
Publisher : Cambridge University Press
Page : 14 pages
File Size : 47,7 Mb
Release : 2006-04-13
Category : Science
ISBN : 9781139450041

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Classical Mechanics by R. Douglas Gregory Pdf

Gregory's Classical Mechanics is a major new textbook for undergraduates in mathematics and physics. It is a thorough, self-contained and highly readable account of a subject many students find difficult. The author's clear and systematic style promotes a good understanding of the subject: each concept is motivated and illustrated by worked examples, while problem sets provide plenty of practice for understanding and technique. Computer assisted problems, some suitable for projects, are also included. The book is structured to make learning the subject easy; there is a natural progression from core topics to more advanced ones and hard topics are treated with particular care. A theme of the book is the importance of conservation principles. These appear first in vectorial mechanics where they are proved and applied to problem solving. They reappear in analytical mechanics, where they are shown to be related to symmetries of the Lagrangian, culminating in Noether's theorem.

Author : Walter Greiner
Publisher : Springer Science & Business Media
Page : 580 pages
File Size : 55,9 Mb
Release : 2009-11-13
Category : Science
ISBN : 9783642034343

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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 : Edward Nelson
Publisher : Princeton University Press
Page : 107 pages
File Size : 49,6 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400882144

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Radically Elementary Probability Theory. (AM-117), Volume 117 by Edward Nelson Pdf

Using only the very elementary framework of finite probability spaces, this book treats a number of topics in the modern theory of stochastic processes. This is made possible by using a small amount of Abraham Robinson's nonstandard analysis and not attempting to convert the results into conventional form.