viii Contents Chapter 11. Strong Variations 235 §11.1. Troubles with weak variations 235 §11.2. Weierstrass’s condition 242 §11.3. Case study: Newton’s problem 247 §11.4. Recommended reading 254 §11.5. Exercises 254 Chapter 12. Sufficient Conditions 255 §12.1. Introduction 255 §12.2. Fields of extremals 256 §12.3. Hilbert’s invariant integral 260 §12.4. Weierstrass’s E-function revisited 262 §12.5. The royal road 267 §12.6. Recommended reading 273 §12.7. Exercises 274 Bibliography 277 Index 295
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