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008 200915s2021 flu gob 000 0 eng d
040 _aOCoLC-P
_beng
_cOCoLC-P
020 _a9781351024365
_q(EPUB)
020 _a1351024361
_q(EPUB)
020 _a9781351024389
_q(electronic bk.)
020 _a1351024388
_q(electronic bk.)
020 _a9781351024372
_q(electronic bk. : PDF)
020 _a135102437X
_q(electronic bk. : PDF)
020 _a9781351024358
_q(electronic bk. : Mobipocket)
020 _a1351024353
_q(electronic bk. : Mobipocket)
020 _z113849528X
020 _z9781138495289
024 7 _a10.1201/9781351024389.
_2doi
035 _a(OCoLC)1203841759
_z(OCoLC)1196177882
_z(OCoLC)1196254934
035 _a(OCoLC-P)1203841759
050 4 _aQA805
072 7 _aMAT
_x004000.
_2bisacsh
072 7 _aPHFP
_2bicssc
082 0 4 _a531
_223
100 1 _aKulp, Christopher W.,
_eauthor.
245 1 0 _aClassical mechanics :
_ba computational approach with examples using mathematica and Python /
_cChristopher W. Kulp, Vasilis Pagonis.
250 _a1st.
264 1 _aBoca Raton, FL :
_bCRC Press,
_c2021.
300 _a1 online resource (440 pages) :
_b192 illustrations
336 _atext
_2rdacontent
337 _acomputer
_2rdamedia
338 _aonline resource
_2rdacarrier
500 _aChapter 1. Foundations of Motion and Computation Chapter 2. Single-Particle Motion in One Dimesnison Chapter 3.Motion in Two and Three Dimensions Chapter 4. Momentum, Angular Momentum, and Multi-Particle Chapter 5. Energy Chapter 6. Harmonic Oscillations Chapter 7. The Calculus of Variations Chapter 8. Lagrangian and Hamiltonian Dynamics Chapter 9. Central Forces and Planetry Motions Chapter 10. Motion in Non-Inertial Reference Frames Chapter 11. Rigid Body Motion Chapter 12. Coupled Oscillations Chapter 13. Nonlinear Systems.
505 0 _aCover -- Half Title -- Title Page -- Copyright Page -- Dedication -- Contents -- Preface -- Chapter 1: The Foundations of Motion and Computation -- 1.1 THE WORLD OF PHYSICS -- 1.2 THE BASICS OF CLASSICAL MECHANICS -- 1.2.1 The Basic Descriptors of Motion -- 1.2.1.1 Position and Displacement -- 1.2.1.2 Velocity -- 1.2.1.3 Acceleration -- 1.2.2 Mass and Force -- 1.2.2.1 Mass -- 1.2.2.2 Force -- 1.3 NEWTON'S LAWS OF MOTION -- 1.3.1 Newton's First Law -- 1.3.2 Newton's second law -- 1.3.3 Newton's third law -- 1.4 REFERENCE FRAMES -- 1.5 COMPUTATION IN PHYSICS
505 8 _a1.5.1 The Use of Computation in Physics -- 1.5.2 Different Computational Tools -- 1.5.3 Some Warnings -- 1.6 CLASSICAL MECHANICS IN THE MODERN WORLD -- 1.7 CHAPTER SUMMARY -- 1.8 END-OF-CHAPTER PROBLEMS -- Chapter 2: Single-Particle Motion in One Dimension -- 2.1 EQUATIONS OF MOTION -- 2.2 ORDINARY DIFFERENTIAL EQUATIONS -- 2.3 CONSTANT FORCES -- 2.4 TIME-DEPENDENT FORCES -- 2.5 AIR RESISTANCE AND VELOCITY-DEPENDENT FORCES -- 2.6 POSITION-DEPENDENT FORCES -- 2.7 NUMERICAL SOLUTIONS OF DIFFERENTIAL EQUATIONS -- 2.8 CHAPTER SUMMARY -- 2.9 END-OF-CHAPTER PROBLEMS
505 8 _aChapter 3: Motion in Two and Three Dimensions -- 3.1 POSITION, VELOCITY, AND ACCELERATION IN CARTESIAN COORDI-NATE SYSTEMS -- 3.2 VECTOR PRODUCTS -- 3.2.1 The Dot Product -- 3.2.2 The Cross Product -- 3.3 POSITION, VELOCITY, AND ACCELERATION IN NON-CARTESIAN COORDINATE SYSTEMS -- 3.3.1 Polar Coordinates -- 3.3.2 Position, Velocity, and Acceleration in Cylindrical Coordinates -- 3.3.3 Position, Velocity, and Acceleration in Spherical Coordinates -- 3.4 THE GRADIENT, DIVERGENCE, AND CURL -- 3.4.1 The Gradient -- 3.4.2 The Divergence -- 3.4.3 The Curl
505 8 _a3.4.4 Second Derivatives with the Del Operator -- 3.5 CHAPTER SUMMARY -- 3.6 END-OF-CHAPTER PROBLEMS -- Chapter 4: Momentum, Angular Momentum, and Multiparticle Systems -- 4.1 CONSERVATION OF MOMENTUM AND NEWTON'S THIRD LAW -- 4.2 ROCKETS -- 4.3 CENTER OF MASS -- 4.4 NUMERICAL INTEGRATION AND THE CENTER OF MASS -- 4.4.1 Trapezoidal Rule -- 4.4.2 Simpson's Rule -- 4.5 MOMENTUM OF A SYSTEM OF MULTIPLE PARTICLES -- 4.6 ANGULAR MOMENTUM OF A SINGLE PARTICLE -- 4.7 ANGULAR MOMENTUM OF MULTIPLE PARTICLES -- 4.8 CHAPTER SUMMARY -- 4.9 END-OF-CHAPTER PROBLEMS -- Chapter 5: Energy
505 8 _a5.1 WORK AND ENERGY IN ONE-DIMENSIONAL SYSTEMS -- 5.2 POTENTIAL ENERGY AND EQUILIBRIUM POINTS IN ONE-DIMENSIONAL SYSTEMS -- 5.3 WORK AND LINE INTEGRALS -- 5.4 THE WORK-KINETIC ENERGY THEOREM, REVISITED -- 5.5 CONSERVATIVE FORCES AND POTENTIAL ENERGY -- 5.6 ENERGY AND MULTIPARTICLE SYSTEMS -- 5.7 CHAPTER SUMMARY -- 5.8 END-OF-CHAPTER PROBLEMS -- Chapter 6: Harmonic Oscillations -- 6.1 DIFFERENTIAL EQUATIONS -- 6.2 THE SIMPLE HARMONIC OSCILLATOR -- 6.2.1 The Equation of Motion of the Simple Harmonic Oscillator -- 6.2.2 Potential and Kinetic Energy in Simple Harmonic Motion
520 _aClassical Mechanics: A Computational Approach with Examples using Python and Mathematica provides a unique, contemporary introduction to classical mechanics, with a focus on computational methods. In addition to providing clear and thorough coverage of key topics, this textbook includes integrated instructions and treatments of computation. Full of pedagogy, it contains both analytical and computational example problems within the body of each chapter. The example problems teach readers both analytical methods and how to use computer algebra systems and computer programming to solve problems in classical mechanics. End-of-chapter problems allow students to hone their skills in problem solving with and without the use of a computer. The methods presented in this book can then be used by students when solving problems in other fields both within and outside of physics. It is an ideal textbook for undergraduate students in physics, mathematics, and engineering studying classical mechanics. Features: Gives readers the "big picture" of classical mechanics and the importance of computation in the solution of problems in physics Numerous example problems using both analytical and computational methods, as well as explanations as to how and why specific techniques were used Online resources containing specific example codes to help students learn computational methods and write their own algorithms A solutions manual is available via the Routledge Instructor Hub and extra code is available via the Support Material tab
588 _aOCLC-licensed vendor bibliographic record.
650 0 _aPython (Computer program language)
630 0 0 _aMathematica (Computer file)
650 0 _aMechanics.
650 0 _aMechanics
_xData processing.
650 7 _aSCIENCE / Mathematical Physics
_2bisacsh
650 7 _aMATHEMATICS / Arithmetic
_2bisacsh
700 1 _aPagonis, Vasilis,
_eauthor.
856 4 0 _3Read Online
_uhttps://www.taylorfrancis.com/books/9781351024389
856 4 2 _3OCLC metadata license agreement
_uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
942 _2lcc
_cEBK
999 _c17177
_d17177