| Preface | p. xi |
| Glossary | p. xiii |
| Introduction | p. 1 |
| Modern general equilibrium theory and the calculus | p. 1 |
| The return of the differentiability approach | p. 2 |
| Object and content of the book | p. 3 |
| Topics and techniques not covered | p. 5 |
| Reference conventions and sources | p. 5 |
| Mathematics | p. 6 |
| Point-set topology and metric spaces | p. 7 |
| Some definitions | p. 7 |
| Compactness and connectedness | p. 8 |
| Metric spaces | p. 9 |
| The Baire property | p. 10 |
| The space of subsets of a metric space | p. 10 |
| Correspondences | p. 11 |
| Zorn's lemma | p. 11 |
| Reference notes | p. 11 |
| Linear algebra | p. 12 |
| Linear spaces | p. 12 |
| Linear functions | p. 13 |
| Matrices | p. 13 |
| Determinants | p. 14 |
| Scalar products and orthogonality | p. 15 |
| Eigenvalues and definite matrices | p. 16 |
| Quadratic forms | p. 18 |
| Reference notes | p. 18 |
| Differential calculus | p. 18 |
| Definitions | p. 18 |
| Basic properties of the derivative | p. 19 |
| Implicit function theorems | p. 20 |
| Gradients and second derivatives | p. 21 |
| Reference notes | p. 21 |
| Smooth optimization | p. 22 |
| First-order necessary conditions | p. 22 |
| Second-order conditions | p. 22 |
| Reference notes | p. 22 |
| Measures and integrals | p. 23 |
| Measures | p. 23 |
| Integrals | p. 23 |
| Convergence of measures on a metric space | p. 24 |
| Continuity properties | p. 25 |
| Integrals and derivatives | p. 25 |
| Reference notes | p. 26 |
| Convex sets and functions | p. 27 |
| Convex sets | p. 27 |
| Supporting properties | p. 28 |
| Convex and concave functions | p. 29 |
| Reference notes | p. 30 |
| Lipschitzian functions | p. 31 |
| Definitions and basic properties | p. 31 |
| The generalized Jacobian | p. 31 |
| Reference notes | p. 32 |
| Differentiable manifolds | p. 33 |
| Definitions and examples | p. 33 |
| Functions on manifolds | p. 36 |
| Curvature | p. 39 |
| Technical miscellanea | p. 40 |
| Reference notes | p. 41 |
| Transversality theory | p. 42 |
| The measure of the set of critical values | p. 42 |
| Transversality | p. 43 |
| Miscellanea | p. 45 |
| Reference notes | p. 45 |
| Degrees, indices, and fixed points | p. 45 |
| Preliminaries | p. 45 |
| The degree of a function | p. 46 |
| Vector fields and fixed points | p. 47 |
| Reference notes | p. 50 |
| Function spaces | p. 50 |
| Definitions and basic properties | p. 50 |
| Compact sets and measures on function spaces | p. 51 |
| Reference notes | p. 52 |
| Averages of sets | p. 52 |
| Sums of sets | p. 52 |
| Partial sums | p. 53 |
| Reference notes | p. 55 |
| Preferences, utility, and demand | p. 57 |
| Introduction | p. 57 |
| Definitions | p. 58 |
| Smooth preferences | p. 61 |
| Spaces of smooth preferences | p. 69 |
| Regular and critical points | p. 75 |
| Smooth, convex preferences | p. 78 |
| Differentiable demand | p. 84 |
| Approximation theory | p. 89 |
| Demand theory without preferences | p. 91 |
| Reference notes | p. 94 |
| Production sets | p. 96 |
| Introduction | p. 96 |
| Production sets and efficient productions | p. 96 |
| From individual to aggregate production sets | p. 98 |
| Some derived constructions | p. 99 |
| Some differentiability facts and relations | p. 102 |
| Smoothness hypotheses | p. 107 |
| Some examples | p. 109 |
| Perturbations of production sets | p. 112 |
| Reference notes | p. 113 |
| Optimality and price equilibrium | p. 114 |
| Introduction | p. 114 |
| Optimality and price equilibrium: general theory | p. 114 |
| First-order necessary conditions for an optimum | p. 128 |
| Second-order conditions for an optimum | p. 135 |
| General propositions on approximate price supportability | p. 144 |
| The structure of the set of optimum allocations | p. 153 |
| Reference notes | p. 164 |
| Exchange economies | p. 166 |
| Introduction | p. 166 |
| Exchange economies and exchange price equilibrium | p. 167 |
| Regular exchange equilibrium and regular exchange economies | p. 175 |
| Properties of regular equilibria | p. 184 |
| The equilibrium set of an economy and the index theorem for regular economies | p. 188 |
| Proof and discussion of the index theorem | p. 201 |
| Special classes of economies and the uniqueness of equilibria | p. 215 |
| The equilibrium set: global analysis | p. 222 |
| Reference notes | p. 241 |
| Production economies | p. 245 |
| Introduction | p. 245 |
| Production economies | p. 245 |
| Equilibrium and regular equilibrium | p. 247 |
| Regular equilibrium in constant returns economies | p. 249 |
| The index theorem | p. 252 |
| Special classes of economies and the uniqueness of equilibrium | p. 256 |
| Reference notes | p. 261 |
| Exchange economies with many traders | p. 263 |
| Introduction | p. 263 |
| Properties of Walrasian allocations | p. 264 |
| Core allocations in continuum exchange economies | p. 269 |
| Core allocations in exchange economies with a finite number of traders | p. 273 |
| Anonymous optimal allocations in continuum exchange economies | p. 298 |
| No-surplus allocations in continuum exchange economies | p. 310 |
| Reference notes | p. 313 |
| Genericity analysis | p. 316 |
| Introduction | p. 316 |
| The generic point of view | p. 316 |
| The mathematical theory | p. 319 |
| Generic demand | p. 322 |
| Generic production sets | p. 330 |
| Generic optima | p. 332 |
| Genericity of regular economies | p. 336 |
| Generic properties of the equilibrium manifold | p. 342 |
| Reference notes | p. 351 |
| References | p. 353 |
| Name index | p. 365 |
| Subject index | p. 369 |
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