Contributions to the Founding of the Theory of Transfinite Numbers
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Marotte, Sur les fondements de la theorie des ensembles trans/mis, Paris, 1899. TABLE OF CONTENTS I'AGE Preface v Table of Contents ix Introduction i Contributions to the Founding of the Theory OF Transftnite Numbers — Article I. (1895) 85 Article II. (1897) -137 Notes 202 Index 209 CONTRIBUTIONS TO THE FOUNDING OF THE THEORY OF TRANSFINITE NUMBERS INTRODUCTION I If it is safe to trace back to any single man the origin of those conceptions with which pure mathe- matical analysis has been chiefl...y occupied during the nineteenth century and up to the present time, we must, I think, trace it back to Jean Baptiste Joseph Fourier (1768- 1830). Fourier was first and foremost a physicist, and he expressed very defin- itely his view that mathematics only justifies itself . By the help it gives towards the solution of physical problems, and yet the light that was thrown on the general conception of a function and its ''con- tinuity, " of the ''convergence" of infinite series, and of an integral, first began to shine as a result of Fourier's original and bold treatment of the problems of the conduction of heat.
What to read after Contributions to the Founding of the Theory of Transfinite Numbers?
You can find similar books in the "Read Also" column, or choose other free books by Georg Cantor to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Marotte, Sur les fondements de la theorie des ensembles trans/mis, Paris, 1899. TABLE OF CONTENTS I'AGE Preface v Table of Contents ix Introduction i Contributions to the Founding of the Theory OF Transftnite Numbers — Article I. (1895) 85 Article II. (1897) -137 Notes 202 Index 209 CONTRIBUTIONS TO THE FOUNDING OF THE THEORY OF TRANSFINITE NUMBERS INTRODUCTION I If it is safe to trace back to any single man the origin of those conceptions with which pure mathe- matical analysis has been chiefl...y occupied during the nineteenth century and up to the present time, we must, I think, trace it back to Jean Baptiste Joseph Fourier (1768- 1830). Fourier was first and foremost a physicist, and he expressed very defin- itely his view that mathematics only justifies itself . By the help it gives towards the solution of physical problems, and yet the light that was thrown on the general conception of a function and its ''con- tinuity, " of the ''convergence" of infinite series, and of an integral, first began to shine as a result of Fourier's original and bold treatment of the problems of the conduction of heat.
What to read after Contributions to the Founding of the Theory of Transfinite Numbers?
You can find similar books in the "Read Also" column, or choose other free books by Georg Cantor to read onlineMoreLess
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