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Geometric Integration Theory by Hassler Whitney ISBN: 0486445836 Dover Publications Price: $22.95 click here to see this book This treatment of geometric integration theory consists of an introduction to classical theory, a postulational approach to general theory, and a section on Lebesgue theory. Covers the theory of the Riemann integral; abstract integration theory; some relations between chains and functions; Lipschitz mappings; chains and additive set functions, more. 1957 edition. Republication of the Princeton, New Jersey, 1957 edition. Table of Contents for Geometric Integration Theory Preface Introduction A. The general problem of integration B. Some classical topics C. Indications of general theory Part I. Classical Theory 1. Grassmann algebra 2. Differential forms 3. Riemann integration theory 4. Smooth manifolds A. Manifolds in Euclidean space B. Triangulation of manifolds C. Cohomology in manifolds Part II. General Theory 5. Abstract integration theory 6. Some relations between chains and functions 7. General properties of chains and cochains 8. Chains and cochains in open sets Part III. Lebesgue Theory 9. Flat cochains and differential forms 10. Lipschitz mappings 11. Chains and additive set functions Appendix I. Vector and linear spaces Appendix II. Geometric and topological preliminaries Appendix III. Analytical preliminaries Index of symbols Index of terms

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