Table of Contents Preface PART I. MATHEMATICS
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1 Table of Contents Preface... v List of Recipes (Algorithms and Heuristics)... xi PART I. MATHEMATICS... 1 Chapter 1. The Game Systematic Problem Solving Artificial Intelligence and the Algorithmic Approach Science and Algorithms How todevelop an Algorithm... 7 Chapter Summary... 9 Exercises Chapter 2. Unit Conversions Units of Measure Metric Units Unit Conversions Unit Conversion Factors Sets of Units The Itinerary Multidimensional Maps Conversions and Formulas Conversion Tables Chapter Summary Exercises Chapter 3. Mathematical Tools... 25
2 3.1 The Queen of the Sciences Symbolism Functions and Graphs Curve Fitting Solving Equations Solving Linear Equations for One Variable Solving Quadratic Equations for One Variable Solving General Equations for One Variable Solving Systems of Linear Equations for Several Variables Geometry Calculus Computer Mathematics Chapter Summary Exercises Chapter 4. Models Reductionism Physical Models Mathematical Models Wave Models Matter Models Reality Chapter Summary Exercises PART II. PHYSICS Chapter 5. Mechanics Introduction... 61
3 5.2 Particle Mechanics Energy N-Body Mechanics Field Mechanics Relativistic Mechanics Quantum Mechanics Wave Mechanics QED, etc Chapter Summary Exercises PART III. ATOMS Chapter 6. Chemical Elements Chemical Principles Chemical Matter Atomic Theory Chemical Moles The Atomic Mol Map Chapter Summary Exercises Chapter 7. Atomic Structure Cosmology Subatomic Particles Element Symbols Atomic Spectra Wave Mechanics Electronic Configurations
4 Chapter Summary Appendix: The Bohr Atom Model Exercises Chapter 8. The Periodic Table Chemical Families Family Relationships Periodic Configurations Periodic Trends Chapter Summary Exercises PART IV. MOLECULES Chapter 9. Chemical Formulas Molecular Formulas Molecular Mass Chemical Analysis Empirical Formulas True Molecular Formulas The Molecular Mol Map An Extended Molecular Mol Map Chapter Summary Exercises Chapter 10. Chemical Nomenclature Chemical Language Common Names Systematic Chemical Nomenclature Naming Inorganic Compounds
5 10.5 Naming Organic Compounds Naming Coordination Complexes Chapter Summary Exercises Chapter 11. Chemical Equations Chemical Equation Concepts Balanced Chemical Equations Chemical Stoichiometry Volume Stoichiometry Chapter Summary Exercises Chapter 12. Chemical Bonding Chemical Bonds Ionic and Covalent Bonds Molecular Mass Spectrometry The Electronic Theory of Chemical Bonding Lewis Structures Molecular Geometry Molecular Polarity Molecular Wave Mechanics Valence Bond Theory Molecular Orbital Bond Theory Bond Strength Molecular Motion Molecular Spectroscopy Chapter Summary
6 Exercises PART V. ENSEMBLES Chapter 13. Thermodynamics Heat The First Law The Kinetic Molecular Theory Enthalpy Heat and Stoichiometry Reaction Heat from Heats of Formation Reaction Heat from Bond Energies The Second Law Boltzmann Distributions Chemical Thermodynamics Statistical Thermodynamics Chapter Summary Exercises Chapter 14. Intermolecular Bonding Phases Kinetic verses Potential Energy Classes of Intermolecular Bonds Kinetic Molecular Energy Intermolecular Bonding vs Temperature Vaporization Phase Heuristic Liquids Heat Capacity
7 Chapter Summary Exercises Chapter 15. Gases The Gaseous Phase Gas Laws The Ideal Gas Law Using the Ideal Gas Law Mixtures of Ideal Gases Gas Velocity Real Gases Chapter Summary Exercises Chapter 16. Solids Crystal Lattices Lattice Energy Chapter Summary Exercises Chapter 17. Solutions Molecular Mixtures Concentrations Units Concentrations as Conversion Factors Solubility Chapter Summary Exercises PART VI. DYNAMICS Chapter 18. Chemical Kinetics
8 18.1 The Kinetic-Molecular Paradox The Collision Rate Model Rate Laws Reaction Mechanisms Empirical Rate Laws Temperature Dependence of Rates Chapter Summary Exercises Chapter 19. Chemical Equilibria Dynamic Equilibrium General Mass Action Mass Action Calculations Solubility Equilibria Acid Base Equilibria Acid Base Titrations Oxidation Reduction Equilibria Chapter Summary Exercises Solutions to Exercises Glossary
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