The Fundamental Theorems of the Differential Calculus
From the author's Preface IN this Tract rigidity of proof and novelty of treatment have been -*- aimed at rather than simplicity of presentation, though this has never been lightly sacrificed. The Differential Calculus is concerned with those continuous functions that possess differential coefficients and with these differential coefficients themselves. As a differential coefficient is not necessarily a continuous function, the subject merges naturally into the wider one of the Theory of Functions of one or more Real Variables, and cannot, therefore, be completely mastered without some knowledge of the Theory of Sets of Points. No more knowledge of the language or concepts of this theory will however here be required than a serious mathematical student may now be supposed to have gained before completing his Degree course, and, with this exception, the present account of the fundamental theorems of the Differential Calculus will, it is hoped, be found to be complete in itself. For the rest a brief account is given in Appendix III of the definitions and results from the Theory of Sets of Points actually employed in the Tract.
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The Fundamental Theorems of the Differential Calculus
From the author's Preface IN this Tract rigidity of proof and novelty of treatment have been -*- aimed at rather than simplicity of presentation, though this has never been lightly sacrificed. The Differential Calculus is concerned with those continuous functions that possess differential coefficients and with these differential coefficients themselves. As a differential coefficient is not necessarily a continuous function, the subject merges naturally into the wider one of the Theory of Functions of one or more Real Variables, and cannot, therefore, be completely mastered without some knowledge of the Theory of Sets of Points. No more knowledge of the language or concepts of this theory will however here be required than a serious mathematical student may now be supposed to have gained before completing his Degree course, and, with this exception, the present account of the fundamental theorems of the Differential Calculus will, it is hoped, be found to be complete in itself. For the rest a brief account is given in Appendix III of the definitions and results from the Theory of Sets of Points actually employed in the Tract.
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The Fundamental Theorems of the Differential Calculus
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The Fundamental Theorems of the Differential Calculus
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Product Details
| ISBN-13: | 9781663528209 |
|---|---|
| Publisher: | Barnes & Noble Press |
| Publication date: | 07/07/2020 |
| Series: | Cambrige Tracts in Mathematics and Mathematical Physics , #11 |
| Pages: | 84 |
| Product dimensions: | 6.00(w) x 9.00(h) x 0.20(d) |
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