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Previews available in: German
Subjects
Calculus, Constructive mathematics, Calculus, integralShowing 1 featured edition. View all 1 editions?
Edition | Availability |
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1
Differential and integral: a constructive introduction to classical analysis.
1971, University of Texas Press
Hardcover
in German and English
0292701144 9780292701144
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Book Details
Table of Contents
Translators Foreword vil
Preface ix
Foundations
The Natural Numbers and the Logical Particles 6
The Rational Numbers 15
Sets and Functions 20
Inductive Definitions 29
Real Numbers 35
Rational Sequences 42
Definition of the Real Numbers 54
The Completeness of the Field of Real Numbers 60
One Place Functions
Continuous Functions 71
The Elementary Functions 83
Sequences of Functions 98
Differentiation 114
Taylor Series 131
Integration 142
ManyPlace Functions
The N-Dimensional Number Space 155
Continuous and Differentiable Functions 163
Mappings 172
Multiple Differentiation and Integration 183
Differential Geometry 518 Analysis and Geometry 199
Curves Surfaces and Figures 203
Tensors and Differential Forms 212
Alternating Multiplication and Differentiation 232
Multidimensional Integrals 243
Metric Differential Geometry 273
Bibliography 293
Index of Symbols 295
Index of Subjects 297
Index of Names 303
Edition Notes
Bibliography: p. 293-294.
Translation of Differential und Integral.
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