| Inflationary Cosmology | p. 1 |
| Brief History of Inflation | p. 1 |
| Chaotic Inflation | p. 3 |
| Hybrid Inflation | p. 9 |
| Quantum Fluctuations and Density Perturbations | p. 10 |
| Creation of Matter After Inflation: Reheating and Preheating | p. 13 |
| Eternal Inflation | p. 15 |
| Inflation and Observations | p. 18 |
| Alternatives to Inflation? | p. 21 |
| Naturalness of Chaotic Inflation | p. 26 |
| Chaotic Inflation in Supergravity | p. 28 |
| Towards Inflation in String Theory | p. 30 |
| Scale of Inflation, the Gravitino Mass, and the Amplitude of the Gravitational Waves | p. 35 |
| Initial Conditions for the Low-Scale Inflation and Topology of the Universe | p. 38 |
| Inflationary Multiverse, String Theory Landscape and the Anthropic Principle | p. 40 |
| Conclusions | p. 46 |
| References | p. 47 |
| Preheating After Inflation | p. 55 |
| Generalities: Reheating the Universe | p. 55 |
| Pair Creation by an Electric Field | p. 58 |
| Linear Resonant Preheating | p. 59 |
| Non-linear Dynamics of Resonant Preheating | p. 61 |
| Inflaton Fragmentation | p. 64 |
| Equation of State During Preheating | p. 68 |
| Effects of Trilinear Interactions | p. 69 |
| Modulated Fluctuations from Preheating | p. 71 |
| Reheating After String Theory Inflation | p. 73 |
| Gravitational Waves from Preheating | p. 73 |
| Looking Toward the Future | p. 74 |
| References | p. 78 |
| Particle Physics Models of Inflation | p. 81 |
| Introduction | p. 81 |
| Beyond the Standard Model | p. 82 |
| The Initial Condition for Observable Inflation | p. 83 |
| Slow-roll inflation | p. 85 |
| Modular Inflation | p. 93 |
| Small-Field Models | p. 95 |
| Supersymmetry: General Features | p. 97 |
| Supersymmetry: Form of the Potential | p. 99 |
| One-Loop Correction | p. 100 |
| Small-Field Models: Moving Away from the Origin | p. 102 |
| Moving Toward the Origin; Power-Law Potential | p. 103 |
| F and D Term Inflation | p. 105 |
| Tree-Level Hybrid Inflation | p. 107 |
| Running Mass Models | p. 109 |
| Large-Field Models | p. 111 |
| Warm Inflation | p. 112 |
| Present Status and Outlook | p. 113 |
| References | p. 115 |
| Inflation in String Theory | p. 119 |
| Introduction | p. 119 |
| Cosmology and Particle Physics Phenomenology | p. 122 |
| String Theory Inspired Supergravity Models and Cosmology | p. 124 |
| Brane Inflation in String Theory | p. 131 |
| Modular Inflation in String Theory | p. 136 |
| N-flation/Assisted Inflation | p. 147 |
| Discussion | p. 150 |
| References | p. 153 |
| Predictions in Eternal Inflation | p. 157 |
| Eternal Inflation | p. 157 |
| Stochastic Approach to Inflation | p. 166 |
| Predictions and Measure Issues | p. 177 |
| References | p. 187 |
| Inflationary Perturbations: The Cosmological Schwinger Effect | p. 193 |
| Introduction | p. 193 |
| The Schwinger Effect | p. 195 |
| Quantization of a Free Scalar Field in Curved Space-Time | p. 204 |
| Inflationary Cosmological Perturbations of Quantum-Mechanical Origin | p. 219 |
| The Classical Limit of Quantum Perturbations | p. 229 |
| Conclusions | p. 237 |
| References | p. 239 |
| The Numerical Treatment of Inflationary Models | p. 243 |
| Motivations | p. 243 |
| Multifield Inflation | p. 247 |
| Numerical Method | p. 253 |
| Application to CMB Data Analysis | p. 262 |
| Conclusion | p. 269 |
| References | p. 271 |
| Multiple Field Inflation | p. 275 |
| Introduction | p. 275 |
| Homogeneous Scalar Field Dynamics | p. 276 |
| Primordial Perturbations from Inflation | p. 280 |
| Perturbations from Two-Field Inflation | p. 287 |
| Non-Gaussianity | p. 293 |
| Curvaton Scenario | p. 296 |
| Conclusions | p. 301 |
| References | p. 302 |
| The Quest for Non-gaussianity | p. 305 |
| Introduction: Why Is it so Interesting to Measure Non-gaussianity in Cosmological Perturbations? | p. 305 |
| What Is Non-gaussianity? | p. 309 |
| Linear Perturbations on Large Scales | p. 316 |
| Non-linear Perturbation on Large Scales: Generation of NG | p. 318 |
| What Do We Learn from What We Have Done so Far? | p. 323 |
| Observational Constraints on NG in the CMB | p. 324 |
| Towards the Second-Order Transfer Function | p. 355 |
| References | p. 358 |
| Production of Topological Defects at the End of Inflation | p. 359 |
| Introduction | p. 359 |
| Cosmological Inflation | p. 360 |
| Topological Defects in GUTs | p. 367 |
| Braneworld Cosmology | p. 374 |
| Observational Consequences | p. 377 |
| Conclusions | p. 389 |
| References | p. 390 |
| Conceptual Problems of Inflationary Cosmology and a New Approach to Cosmological Structure Formation | p. 393 |
| Introduction | p. 393 |
| Problems of Scalar Field-Driven Inflation | p. 394 |
| String Gas Cosmology | p. 400 |
| String Gas Cosmology and Structure Formation | p. 408 |
| Discussion | p. 418 |
| References | p. 419 |
| Index | p. 425 |
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