| Preface | |
| Ch. 1 | Introduction | 3 |
| Ch. 2 | Problems Equivalent to the Analysis of Suitable Functional Integrals: Critical Point and Field Theory | 5 |
| Ch. 3 | Other Functional Integrals: Fermi Sphere and Bose Condensation | 12 |
| Ch. 4 | Effective Potentials and Schwinger Functions | 19 |
| Ch. 5 | Multiscale Decomposition of Propagators and Fields: Running Effective Potentials | 22 |
| Ch. 6 | Renormalization Group: Relevant and Irrelevant Components of the Effective Potentials | 27 |
| Ch. 7 | Asymptotic Freedom: Upper Critical Dimension | 34 |
| Ch. 8 | Beyond the Linear Approximations: The Beta Function and Perturbation Theory | 38 |
| Ch. 9 | The Beta Function as a Dynamical System: Asymptotic Freedom of Marginal Theories | 52 |
| Ch. 10 | Anomalous Dimension | 56 |
| Ch. 11 | The Fermi Liquid and the Luttinger Model | 66 |
| Ch. 12 | The Generic Critical Point for d = 3, [Gamma] = 0: The [Epsilon]-Expansion | 70 |
| Ch. 13 | Bose Condensation: Reformulation | 75 |
| Ch. 14 | Bose Condensation: Effective Potentials | 81 |
| Ch. 15 | The Beta Function for the Bose Condensation | 87 |
| A Brief Historical Note | 96 |
| Bibliographical Notes | 100 |
| Appendix 1. The Free Fermion Propagator | 104 |
| Appendix 2. Grassmannian Integration | 106 |
| Appendix 3. Trees and Feynman Graphs | 111 |
| Appendix 4. Schwinger Functions and Anomalous Dimension | 120 |
| Appendix 5. Propagators for the Bose Gas | 124 |
| Appendix 6. The Beta Function for the Bose Gas | 126 |
| References | 135 |
| Subject Index | 141 |
| Citation Index | 143 |
