A classic work from the acclaimed Annals of Mathematics Studies series

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Lamberto Cesari

• Frontmatter,
• PREFACE,
• CONTENTS,
• CHAPTER I. INTRODUCTORY- CONSIDERATIONS,
• CHAPTER II. LEBESGUE AREA,
• CHAPTER III. THE GEÖCZE AREAS V AND U AND THE PEANO AREA P,
• CHAPTER IV. BV AND AC PLANE MAPPINGS,
• CHAPTER V. THE FIRST THEOREM,
• CHAPTER VI. THE CAVALIERI INEQUALITY,
• CHAPTER VII. IDENTIFICATION OF LEBESGUE, GEÖCZE, PEANO AREAS,
• CHAPTER VIII. GEOMETRICAL PROPERTIES AND THE SECOND THEOREM,
• CHAPTER IX. THE REPRESENTATION PROBLEM,
• CHAPTER X. THE REPRESENTATION OF GENERAL SURFACES AND THE THIRD THEOREM,
• APPENDIX A. A DIRECT PROOF OF A PROPERTY OF CONTINUOUS SURFACES,
• APPENDIX B. WEIERSTRASS INTEGRAL OVER A SURFACE,
• BIBLIOGRAPHY,
• SPECIAL SIGNS AND ABBREVIATIONS,
• Backmatter,