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Preliminaries | |
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Hydrostatic Equilibrium | |
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An Energy Principle | |
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The Virial Theorem and Its Applications | |
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Application: Global Energetics | |
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Application: The Kelvin-Helmholtz Time Scale | |
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Application: A Dynamic Time Scale | |
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Application: Estimates of Stellar Temperatures | |
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Application: Another Dynamic Time Scale | |
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The Constant-Density Model | |
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Calculation of Molecular Weights | |
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The Temperature Distribution | |
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Energy Generation and Transport | |
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Stellar Dimensional Analysis | |
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Evolutionary Lifetimes on the Main Sequence | |
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The Hertzsprung-Russell Diagram | |
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Summary Remarks | |
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Exercises | |
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References and Suggested Readings | |
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An Overview of Stellar Evolution | |
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Young Stellar Objects (YSOs) | |
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The Zero-Age Main Sequence (ZAMS) | |
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Life on the Main Sequence | |
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Brown Dwarfs | |
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Leaving the Main Sequence | |
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Cluster HR Diagrams | |
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Cluster and Galactics Ages | |
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Mass Loss From Massive Stars | |
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Red Giants and Supergiants | |
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Helium Flash or Fizzle | |
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Helium Core Burning | |
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Helium Core Exhaustion | |
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Asymptotic Giant Branch | |
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Later Phases, Initial Masses <$>{\cal M} \leq 6-10 {\cal M}_\odot<$> | |
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A Bit About White Dwarfs | |
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Advanced Phases, Initial Masses <$>{\cal M} \ge 6-10 {\cal M}_\odot<$> | |
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Core Collapse and Nucleosynthesis | |
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Abundances and Nucleosynthesis | |
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Variable Stars: A Brief Overview | |
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Eclipsing and Ellipsoidal Variables | |
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Spotted, Rotating Stars | |
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T Tauri Stars, FU Orionis Stars (FUORs), and Luminous Blue Variables | |
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Last Helium Flash and Formation of Atmospheric Dust | |
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Pulsational Variables | |
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Explosive Variables | |
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Novae | |
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Supernovae | |
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SN1987A | |
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SN Type I | |
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SN Remnants | |
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White Dwarfs, Neutron Stars, and Black Holes | |
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Binary Stars | |
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Types of Binaries | |
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The Roche Geometry | |
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Formation and Early Evolution | |
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The First Mass Transfer Phase and its Consequences | |
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Systems With One Compact Component | |
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The Second Phase of Mass Transfer | |
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Binaries With Two Compact Components | |
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Star Formation | |
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Supplemental Material | |
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Exercises | |
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References and Suggested Readings | |
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Equations of State | |
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Distribution Functions | |
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Blackbody Radiation | |
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Ideal Monatomic Gas | |
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The Saha Equation | |
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Fermi-Dirac Equations of State | |
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The Completely Degenerate Gas | |
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Application to White Dwarfs | |
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Effects of Temperature on Degeneracy | |
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""Almost Perfect"" Equations of State | |
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Adiabatic Exponents and Other Derivatives | |
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Keeping the Composition Fixed | |
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Specific Heats | |
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Adiabatic Exponents | |
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Mixtures of Ideal Gases and Radiation | |
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Mixtures of Degenerate and Ideal Gases | |
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Allowing for Chemical Reactions | |
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Exercises | |
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References and Suggested Readings | |
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Radiative and Conductive Heat Transfer | |
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Radiative Transfer | |
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The Diffusion Equation | |
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A Brief Diversion into ""∇s"" | |
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A Simple Atmosphere | |
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Radiative Opacity Sources | |
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Electron Scattering | |
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Free-Free Absorption | |
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Bound-Free and Bound-Bound Absorption | |
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H Opacity and Others | |
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Heat Transfer by Conduction | |
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Tabulated Opacities | |
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Some Observed Spectra | |
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Line Profiles and the Curve of Growth | |
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The Lorentz Profile | |
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Doppler Broadening | |
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Curve of Growth | |
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Exercises | |
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References and Suggested Readings | |
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Heat Transfer by Convection | |
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The Mixing Length Theory | |
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Criteria for Convection | |
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Radiative Leakage | |
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The Equation of Motion | |
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Convective Efficiencies and Time Scales | |
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Convective Fluxes | |
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Calculations in the MLT | |
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Numeric Examples | |
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Variations on the MLT | |
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Beyond the MLT | |
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Semiconvection | |
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Hydrodynamic Calculations | |
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Exercises | |
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References and Suggested Readings | |
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Stellar Energy Sources | |
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Gravitational Energy Sources | |
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Thermonuclear Energy Sources | |
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Preliminaries | |
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Nuclear Energetics | |
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Astrophysical Thermonuclear Cross Sections and Reaction Rates | |
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Nonresonant Reaction Rates | |
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Example: The <sup>12</sup>C(p, �)<sup>13</sup>N Reaction | |
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Resonant Reaction Rates | |
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Other Forms of Reaction Rates | |
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Neutron Capture and the S-Process | |
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Weak Interactions | |
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The Proton-Proton Reaction | |
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Special Effects | |
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The Proton-Proton Chains | |
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Deuterium and Lithium Burning | |
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The Carbon-Nitrogen-Oxygen Cycles | |
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Helium-Burning Reactions | |
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Carbon, Neon, and Oxygen Burning | |
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Silicon ""Burning"" | |
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Neutrino Emission Mechanisms | |
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Pair Annihilation Neutrinos | |
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Photoneutrinos and Bremsstrahlung Neutrinos | |
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Plasma Neutrinos | |
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Exercises | |
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References and Suggested Readings | |
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Stellar Modeling | |
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The Equations of Stellar Structure | |
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Polytropic Equations of State and Polytropes | |
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General Properties of Polytropes | |
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Numerical Calculation of the Lane-Emden Functions | |
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Shooting for a Solution | |
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The Fitting Method | |
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The U-V Plane | |
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Newton-Raphson or ""Henyey"" Methods | |
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Eigenvalue Problems and the Henyey Method | |
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Dynamic Problems | |
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The Eddington Standard Model | |
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Applications to Zero-Temperature White Dwarfs | |
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The Approach to Real Models | |
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Central Expansions | |
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The Radiative Stellar Envelope | |
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The Structure of the Envelope | |
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The Radiative Temperature Structure | |
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Completely Convective Stars | |
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A Question of Entropy | |
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Application to Pre-Main Sequence Evolution | |
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Exercises | |
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References and Suggested Readings | |
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Asteroseismology | |
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Adiabatic Radial Pulsations | |
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The Linear Adiabatic Wave Equation | |
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Some Examples | |
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Asymptotic Analysis | |
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Nonadiabatic Radial Motions | |
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The Quasi-Adiabatic Approximation | |
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The �- and �-Mechanisms | |
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The Epstein Weight Function and Cepheids | |
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Nonadiabaticity and the Cepheid Strip | |
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A Footnote on Nonlinear Modeling | |
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An Introduction to Nonradial Oscillations | |
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Linearization of the Hydrodynamic Equations | |
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Separation of the Pulsation Equations | |
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Properties of the Solutions | |
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Mode Classification | |
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The Eigenfunctions | |
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The Inverse Problem and Rotation | |
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Probing for Internal Rotation | |
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Solid Stars?! | |
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Exercises | |
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References and Suggested Readings | |
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Structure and Evolution of the Sun | |
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Vital Statistics of the Sun | |
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From the ZAMS to the Present | |
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The Sun on the ZAMS | |
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Evolution From the ZAMS | |
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The Present-Day Sun | |
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The Solar Neutrino ""Problem"" | |
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The Role of Rotation in Evolution | |
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von Zeipel's Paradox | |
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Rotational Mixing of Stellar Interiors | |
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Helioseismology | |
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Observed and Predicted Pulsation Frequencies | |
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Helioseismology and the Solar Interior | |
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Structural Inversions | |
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Rotational Inversions | |
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References and Suggested Readings | |
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Structure and Evolution of White Dwarfs | |
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Observed Properties of White Dwarfs | |
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White Dwarf Evolution | |
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Cooling of White Dwarfs | |
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Realistic Evolutionary Calculations | |
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The Magnetic White Dwarfs | |
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Magnetic Field Decay | |
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The Variable White Dwarfs | |
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The Observed Variables | |
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White Dwarf Seismology | |
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White Dwarfs and the Whole Earth Telescope | |
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Exercises | |
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References and Suggested Readings | |
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Mini Stellar Glossary | |
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Table of Symbols and Physical Constants | |
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List of Journal Abbreviations | |
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Index | |