Contents -- 1 Linear mechanics -- 1.1 Kinematics -- 1.1.1 The law of falling bodies -- 1.1.2 The kinematics of falling bodies -- 1.1.3 Workshop: Simple differential equations -- 1.1.4 The kinematics of a projectile -- 1.1.5 Workshop: Motion on the surface of a smooth inclined plane -- 1.1.6 Adding and subtracting vectors -- 1.2 Dynamics -- 1.2.1 Newton's laws -- 1.2.2 The principle of relativity -- 1.2.3 Impulse and impulsive forces -- 1.2.4 Workshop: The conservation of linear momentum -- 1.2.5 The law of falling bodies -- 1.2.6 Workshop: Newton and the apple -- 1.3 Conclusion -- 2 Fields -- 2.1 Introduction and field strength -- 2.2 Workshop: Motion in a uniform field in one dimension -- 2.3 Workshop: Scalar product of vectors -- 2.4 Workshop: Motion in a uniform field in three dimensions -- 2.5 Non-uniform fields -- 2.6 Workshop: Evaluating line integrals -- 2.7 Potential gradients -- 2.8 Setting up a field -- 2.8.1 Workshop: The electrostatic field surrounding a charged wire -- 2.8.2 Electrostatic charge in a parallel plate capacitor -- 2.8.3 Gravitational fields inside planets -- 2.8.4 Formalizing the notation -- 2.9 Conclusion -- 3 Rotation -- 3.1 Rotational kinematics and dynamics -- 3.1.1 Kinematics on a circular path -- 3.1.2 Workshop: Rotated coordinate systems and matrices -- 3.1.3 Workshop: Rotating vectors and the vector product -- 3.1.4 Angular velocity -- 3.1.5 Workshop: Vector triple product -- 3.1.6 Acceleration vectors in rotating frames -- 3.1.7 'Fictitious force': Centrifugal and Coriolis forces -- 3.2 Orbits -- 3.2.1 The Kepler problem -- 3.2.2 Kepler's first law and properties of (d[sup(2)]/dt[sup(2)])r -- 3.2.3 Workshop: Kepler's second law -- 3.2.4 Workshop: Kepler's third law -- 3.3 Conclusion -- 4 Oscillations and waves -- 4.1 Describing an oscillation -- 4.1.1 Workshop: Simple harmonic motion.

4.2 Workshop: Introducing complex numbers -- 4.3 Describing an oscillation using complex numbers -- 4.4 Workshop: Damped oscillators -- 4.5 Describing a wave in one dimension -- 4.6 Interference - a brief introduction -- 4.7 Workshop: The wave equation -- 4.8 A wave on a string -- 4.9 Energy content of a wave -- 4.10 Impedance matching -- 4.11 Describing waves in three dimensions -- 4.11.1 Plane waves -- 4.11.2 Spherical waves -- 4.11.3 Workshop: Stellar magnitudes -- 4.12 Conclusion -- 5 Circuits -- 5.1 Fundamentals -- 5.1.1 Electric current -- 5.1.2 Electric potential -- 5.1.3 Workshop: Using voltage to solve simple circuit problems -- 5.1.4 Ohm's law and resistance -- 5.2 Direct current circuit analysis -- 5.2.1 Analysis using fundamental principles -- 5.2.2 Method of loop currents -- 5.3 Introducing alternating current -- 5.3.1 Resistors -- 5.3.2 Power in a.c. circuits and rms values -- 5.3.3 Capacitors -- 5.3.4 Inductors -- 5.3.5 Sign conventions -- 5.3.6 Phasor methods in a.c. analysis -- 5.4 Alternating current circuit analysis -- 5.4.1 Analysis using impedances -- 5.4.2 Analysis using a phasor -- 5.5 Conclusion -- 6 Thermal physics -- 6.1 The conservation of energy: The first law -- 6.2 The second law -- 6.3 Carnot's theorem -- 6.3.1 Heat engines and fridges -- 6.3.2 Thermodynamic temperature -- 6.3.3 Efficiency of a heat engine -- 6.4 Entropy -- 6.4.1 Reversible processes -- 6.4.2 Irreversible processes and the second law -- 6.4.3 Restatement of first law -- 6.5 The Boltzmann law -- 6.5.1 Workshop: Atmospheric pressure -- 6.5.2 Velocity distribution of molecules in a gas -- 6.5.3 Workshop: Justification of Boltzmann law -- 6.6 Perfect gases -- 6.6.1 Heat capacity of a perfect gas -- 6.6.2 Pumping heat -- 6.7 Conclusion -- 7 Miscellany -- 7.1 Workshop: Setting up integrals -- 7.2 Workshop: Logarithms -- 7.3 Workshop: Rockets and stages.

7.4 Workshop: Unit conversion -- 7.5 Workshop: Dimensional analysis -- 7.6 Workshop: Error analysis -- 7.7 Workshop: Centres of mass -- 7.8 Workshop: Rigid body dynamics -- 7.9 Workshop: Parallel axes theorem -- 7.10 Workshop: Perpendicular axes theorem -- 7.11 Workshop: Orbital energy and orbit classification -- 8 Summary of equations -- 8.1 Linear mechanics -- 8.2 Fields -- 8.3 Rotation -- 8.4 Waves -- 8.5 Circuits -- 8.6 Thermal physics -- Workshop solutions -- Chapter 1 -- Chapter 2 -- Chapter 3 -- Chapter 4 -- Chapter 5 -- Chapter 6 -- Chapter 7 -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- K -- L -- M -- N -- O -- P -- R -- S -- T -- U -- V -- W.