Table of contents : Title Page......Page 6 Copyright......Page 7 Table of Contents......Page 8 Translator's Note......Page 10 Foreword......Page 14 Part 1. The Elementary Conjunctions of Extensive Magnitudes......Page 20 1. Addition, Subtraction, Multiples and Fractions of Extensive Magnitudes......Page 22 2. The Product Structure in General......Page 38 3. Combinatorial Product......Page 48 4. Inner Product......Page 112 5. Applications to Geometry......Page 142 Part 2. The Theory of Functions......Page 210 1. Functions in General......Page 212 2. Differential Calculus......Page 268 3. Infinite Series......Page 282 4. Integral Calculus......Page 298 Index of Technical Terms......Page 346 Editorial Notes......Page 350 Supplementary Notes......Page 410 Subject Index......Page 418