Calculus (9版)

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【原文書】 書名：Calculus 9/E 作者：Dale Varberg 出版社：PEARSON 出版日期：2014/00/00 ISBN：9781292039671

Classical Mechanics (3版)

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書名：Classical Mechanics 3/E PNIE 作者：Goldstein 出版社：Pearson 出版日期：2014/00/00 ISBN：9781292026558 目錄 1. Survey of the Elementary Principles. 2. Variational Principles and Lagrange's Equations. 3. The Central Force Problem. 4. The Kinematics of Rigid Body Motion. 5. The Rigid Body Equations of Motion. 6. Oscillations. 7. The Classical Mechanics of the Special Theory of Relativity. 8. The Hamiltonian Equations of Motion. 9. Canonical Transformations. 10. Hamilton-Jacobi Theory and Action Angle Variables. 11. Classical Chaos. 12. Canonical Perturbation Theory. 13. Introduction to Lagrangian and Hamiltonian Formulations for Continuous Systems and Fields. Appendixes.

A Brief Introduction to Classical Mechanics with Illustrative Problems

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Based on the lecture notes for a course on Classical Mechanics, students with a basic knowledge of calculus should be able to follow this book. Unlike other textbooks, exercises are not included because the main goal is to equip students with the skills to problem-solve. An old-fashioned yet efficient method has been to provide a step-by-step derivation of the fundamental formulas, giving students an overview of the subject through various illustrative examples and showing how to apply the general results to relevant problems in Classical Mechanics. Sample Chapter(s) Preface Chapter 1: Force and Energy Contents: Force and Energy Newtonian Gravity Scattering and Systems of Particles Non-Inertial Frames Extended Rigid Bodies Lagrangian Formulation Hamiltonian Formulation Variational Problems Appendices: Derivation of the Lagrange Equations Prolate and Oblate Coordinates Laplace Equation Readership: Graduate students in Classical Mechanics with a basic knowledge of Calculus.

INTRODUCTION TO CLASSICAL MECHANICS: SOLUTIONS TO PROBLEMS

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The textbook Introduction to Classical Mechanics 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 some time 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. As an aid for teaching and learning, and as was previously done with the publication of Introduction to Electricity and Magnetism: Solutions to Problems, this additional book provides the solutions to the problems in the text Introduction to Classical Mechanics. Request Inspection Copy Contents: Preface Introduction Vectors Inertial Coordinate Systems Newton's Laws Examples Energy Angular Momentum System of Particles Generalized Coordinates Hamilton's Principle Lagrangian Dynamics Hamiltonian Dynamics Continuum Mechanics Waves Continuum Mechanics of String Mechanics of Fluids Appendices: Numerical Methods Significant Names in Classical Mechanics Bibliography Index

INTRODUCTION TO CLASSICAL MECHANICS

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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. Sample Chapter(s) Preface Chapter 1: Introduction Request Inspection Copy Contents: Preface Introduction Vectors Inertial Coordinate Systems Newton's Laws Examples Energy Angular Momentum System of Particles Generalized Coordinates Hamilton's Principle Lagrangian Dynamics Hamiltonian Dynamics Continuum Mechanics Waves Continuum Mechanics of String Mechanics of Fluids Problems Appendix A: Numerical Methods Appendix B: Significant Names in Classical Mechanics Bibliography Index Readership: First-year (honors) undergraduates, other physicists and engineers interested in the topic.