Calculus (Physics) - Hardcover

Hecht, Eugene

Hardcover

ISBN 10: 0534339859 ISBN 13: 9780534339852

Publisher: Brooks/Cole, 1996

Synopsis

Stong pedagogy, a descriptive focus, a knock-out art program, biological/medical appplications, and help with the MCAT are some of the reasons you'll want to look at the groundbreaking text by Eugene Hecht. Hecht's passion and enthusiasm for the subject matter is apparent on every page. As he states in his Preface, "If this work, while insightfully teaching basic physics, transmits a sense of grandeur, unity, and vitality of the subject, it will have met my primary objectives." While the text covers the standard range of material from kinematics to quantum physics, Hecht has carefully limited the math required to basic calculus and very basic vector analysis. He omits obscure, high-level topics, while focusing on helping students understand the fundamental concepts of modern-day physics. Calculus and vector analysis are both painstakingly developed as tools, and then used only insofar as they illuminate the physics. Hecht deliberately goes slowly, justifies where each topic is going, stops to take stock of where the students have been, and points out the marvelous unity of the discourse. Informed by a 20th century perspective and a commitment to providing a conceptual overview of the discipline, this book is a return to basics.

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1. AN INTRODUCTION TO PHYSICS Law and Theory / The Modern Perspective / Length / Mass and Weight / Time / Significant Figures / Equations / Graphs and Functions / Approximations and Checks / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions on Problem Solving / Problems 2. KINEMATICS: SPEED AND VELOCITY Average Speed / Constant Speed / Delta Notation: The Change in a Quantity / Instantaneous Speed / The Displacement Vector / Some Vector Algebra / Instantaneous Velocity / Components and Vector Addition / Velocity with Respect to... / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions for Problem Solving / Problems 3. KINEMATICS: ACCELERATION Average Acceleration / Instantaneous Acceleration: Second Derivatives / Constant Acceleration / The Mean Speed / The Equations of Constant Acceleration / Air Drag / Acceleration Due to Gravity / Straight Up & Down / Two-Dimensional Motion: Projectiles / Varying Acceleration: Integrals / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions for Problem Solving / Problems 4. NEWTON'S THREE LAWS: MOMENTUM The Law of Inertia / Force / The Second Law / Interaction: The Third Law / The Effects of Force: Newton's Slaws / Weight: Gravitational Force / Coupled Motions / Friction / Translational Equilibrium: Statics / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions on Problem Solving / Problems 5. CENTRIPETAL FORCE AND GRAVITY Centripetal Acceleration / Center-Seeking Forces / The Law of Universal Gravitation / Terrestrial Gravity / The Laws of Planetary Motion / Satellite Orbits / Effectively Weightless / The Gravitational Field / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions on Problem Solving / Problems 6. ENERGY Work / Kinetic Energy / Potential Energy / Mechanical Energy / Applying Conservation of Energy / Power / Energy Conservation and Symmetry / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions on Problem Solving / Problems 7. MOMENTUM & COLLISIONS Impulse and Momentum Change / Varying Force / Rockets / Conservation of Linear Momentum / Collisions / Linear Momentum and Symmetry / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions on Problem Solving / Problems 8. ROTATIONAL MOTION Angular Displacement / Angular Velocity / Angular Acceleration / Equations of Constant Angular Acceleration / Torque / Second Condition Equilibrium / Extended Bodies & the Center-of-Gravity / Torque & Rotational Area / Rotational Kinetic Energy / Angular Momentum / Conservation of Angular Momentum / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions on Problem Solving / Problems 9. SOLIDS, LIQUIDS, & GASES Atomism / Density / The States of Matter / Hydrostatic Pressure / Pascal's Principle / Buoyant Force / Fluid Flow / The Continuity Equation / Bernoulli's Equation / Viscous Flow / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions on Problem Solving / Problems 10. ELASTICITY & OSCILLATIONS Hooke's Law / Stress and Strain / Strength / Elastic Moduli / Simple Harmonic Motion / Elastic Restoring Force / The Pendulum / Damping, Forcing, and Resonance / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions on Problem Solving / Problems 11. WAVES & SOUND Wave Characteristics / Transverse Waves: Strings / Compression Waves / Acoustics: Sound Waves / Wavefronts & Intensity / The Speed of Sound in Air / Hearing Sound / Sound-Level / Sound Waves: Beats / Standing Waves / The Doppler Effect / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions on Problem Solving / Problems 12. THERMAL PROPERTIES OF MATTER Thermodynamic Temperature & Absolute Zero / Linear Expansion / Volumetric Expansion: Solids and Liquids / The Laws of Boyle, Charles, & Gay-Lussac / The Ideal Gas Law / Phase Diagrams / Kinetic Theory / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions on Problem Solving / Problems 13. HEAT & THERMAL ENERGY Heat & Temperature / Quantity of Heat / The Mechanical Equivalent of Heat / Specific Heat: Calorimetry / Melting & Freezing / Vaporization / Boiling / Radiation / Convection / Conduction / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions on Problem Solving / Problems 14. THERMODYNAMICS Conservation of Energy / Thermal Processes & Work / Isothermal Change of an Ideal Gas / Adiabatic Change of an Ideal Gas / The Carnot Cycle / Refrigeration Machines & Heat Pumps / Entropy / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions on Problem Solving / Problems 15. ELECTROSTATICS: FORCES Positive and Negative Charge / Insulators and Conductors / Coulomb's Law / The Definition of the E-Field / E-Fields of Continuous Charge Distributions / Gauss's Law / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions on Problem Solving / Problems 16. ELECTROSTATICS: ENERGY Electrical-PE & Potential / Potential of a Point-Charge / The Potential of Several Charges / Potential of a Continuous Charge Distribution / Determining E from V / Conservation of Charge / The Capacitor / Capacitors in Combination / Energy in Capacitors / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions on Problem Solving / Problems 17. DIRECT CURRENT Electric Current / Ohm's Law / Resistivity / Voltage Drops and Rises / Energy and Power / Current Density and Conductivity / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions on Problem Solving / Problems 18. CIRCUITS Sources and Internal Resistance / Resistors in Series and Parallel / Ammeters and Voltmeters / R-C Circuits / Kirchoff's Rules / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions on Problem Solving / Problems 19. MAGNETISM Permanent Magnets / The Magnetic Field / Currents and Fields / Calculating B-Fields / The Force on a Moving Charge / Forces on Wires / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions on Problem Solving / Problems 20. ELECTROMAGNETIC INDUCTION Faraday's Induction Law / Motional emf / The AC Generator / The DC Generator / Inductance / The R-L Circuit: Transients / Energy in the Magnetic Field / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions on Problem Solving / Problems 21. AC AND ELECTRONICS AC and Resistance / AC and Inductance / AC and Capacitance / L-C-R Series Circuits / The Transformer / Domestic Circuits and Hazards / Semiconductors / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions on Problem Solving / Problems 22. RADIANT ENERGY: LIGHT Waves and Particles / Electromagnetic Waves / Waveforms and Wavefronts / Energy and Irradiance / The Origins of EM Radiation / Energy Quanta / Atoms and Light / Radiowaves / Microwaves / Infrared / Light / Ultraviolet / X-Rays / Gamma Rays / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions on Problem Solving / Problems 23. THE PROPAGATION OF LIGHT: SCATTERING Rayleigh Scattering: Blue Skies / Internal and External Reflection / The Law of Reflection / The Index of Refraction / Snell's Law / Total Internal Reflection / White, Black, and Gray / Colors / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions on Problem Solving / Problems 24. GEOMETRICAL OPTICS AND INSTRUMENTS Aspherical Surfaces / Spherical Thin Lenses / Focal Points and Planes / Extended Imagery: Lenses / A Single Lens / Thin-Lens Combinations / Curved Mirrors / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions on Problem Solving / Problems 25. PHYSICAL OPTICS Natural Light / Polarizers / Polarizing Processes / Young's Experiment / Thin-Film Interference / The Michelson Interferometer / Single-Slit Diffraction / The Diffraction Grating / Circular Holes and Obstacles / Holography / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions on Problem Solving / Problems 26. SPECIAL RELATIVITY The Michelson-Morley Experiment / The Two Postulates / Simultaneity and Time / The Hatter's Watch: Time Dilation / Shrinking Alice: Length Contraction / Tweedledum and Tweedledee: The Twin Effect / Wonderland: Space-Time / Addition of Velocities / Relativistic Momentum / Relativistic Energy / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions on Problem Solving / Problems 27. THE ORIGINS OF MODERN PHYSICS The Quantum of Charge / Cathode Rays: Particles of Charge / X-Rays / The Discovery of Radioactivity / Rutherford Scattering / Atomic Spectra / The Proton / The Neutron / Radiation Damage: Dosimetry / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions on Problem Solving / Problems 28. THE EVOLUTION OF QUANTUM THEORY Blackbody Radiation / Quantization of Energy: The Photoelectric Effect / Bremsstrahlung / The Compton Effect / The Bohr Atom / Stimulated Emission: The Laser / Atomic Number / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions on Problem Solving / Problems 29. QUANTUM MECHANICS De Broglie Waves / The Principle of Complementarity / The Schrodinger Wave Equation / Quantum Numbers / The Zeeman Effect / Spin / The Pauli Exclusion Principle / Electron Shells / The Uncertainty Principle / QED and Antimatter / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions on Problem Solving / Problems 30. NUCLEAR PHYSICS Isotopes: Birds of a Feather / Nuclear Size, Shape, and Spin / The Nuclear Force / Nuclear Stability / Radioactive Decay / The Weak Force / Gamma Decay / Half-Life / Induced Radioactivity / Fission and Fusion / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions on Problem Solving / Problems 31. HIGH-ENERGY PHYSICS Leptons / Hadrons / Gauge Theory / Quarks / Quantum Chromodynamics / The Electroweak Force / GUTs and Beyond: The Creation of the Universe / Core Material & Study Guide / Discussion Questions / Multiple Choice Questions / Suggestions on Problem Solving / Problems / APPENDIXES: A MATHEMATICAL REVIEW / ANSWER SECTION / CREDITS / INDEX

Synopsis:

This volume presents calculus coverage needed to develop physics, both differential and integral. A variety of applications to medical, dental and other health related fields are included.

About this edition

• Publisher: Brooks/Cole
• Publication date: 1996
• ISBN 10: 0534339859
• ISBN 13: 9780534339852
• Binding: Hardcover
• Number of pages: 1264