CHAPTER III. THE GEÖCZE AREAS V AND U AND THE PEANO AREA P

Chapters in this book

1. Frontmatter i
2. PREFACE vii
3. CONTENTS ix
4. CHAPTER I. INTRODUCTORY- CONSIDERATIONS 1
5. CHAPTER II. LEBESGUE AREA 27
6. CHAPTER III. THE GEÖCZE AREAS V AND U AND THE PEANO AREA P 83
7. CHAPTER IV. BV AND AC PLANE MAPPINGS 173
8. CHAPTER V. THE FIRST THEOREM 242
9. CHAPTER VI. THE CAVALIERI INEQUALITY 298
10. CHAPTER VII. IDENTIFICATION OF LEBESGUE, GEÖCZE, PEANO AREAS 331
11. CHAPTER VIII. GEOMETRICAL PROPERTIES AND THE SECOND THEOREM 407
12. CHAPTER IX. THE REPRESENTATION PROBLEM 449
13. CHAPTER X. THE REPRESENTATION OF GENERAL SURFACES AND THE THIRD THEOREM 487
14. APPENDIX A. A DIRECT PROOF OF A PROPERTY OF CONTINUOUS SURFACES 550
15. APPENDIX B. WEIERSTRASS INTEGRAL OVER A SURFACE 564
16. BIBLIOGRAPHY 577
17. SPECIAL SIGNS AND ABBREVIATIONS 595
18. Backmatter 598