E-Book, Englisch, Band Volume 17, 332 Seiten, Web PDF
Kuratowski / Lohwater Introduction to Calculus
2. Auflage 2014
ISBN: 978-1-4832-2262-2
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band Volume 17, 332 Seiten, Web PDF
Reihe: International Series in Pure and Applied Mathematics
ISBN: 978-1-4832-2262-2
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark
The English edition does not differ essentially from the Polish one. Among the more important supplements I should mention § 6.5 containing elementary information on the notation of mathematical logic. To this supplement I was inclined by the experience of many years. For many students (not for all, perhaps) the notation of definitions of certain notions by means of the logical symbols makes it easier to understand these notions (e.g. the notions of uniform continuity or uniform convergence). Besides that, this supplement is included in the book in such a manner that it can be omitted in reading the whole book. Among other changes introduced in the English text, I should mention the addition of a number of exercises and problems; in the second English edition, many of them have been collected in the Supplement. I am glad also to mention the simplification of certain proofs, and finally the removal of mistakes which were found in the primary text
Autoren/Hrsg.
Weitere Infos & Material
1;Front Cover;1
2;Introduction to Calculus;4
3;Copyright Page;5
4;Table of Contents;6
5;PREFACE TO THE SECOND ENGLISH EDITION;10
6;PREFACE TO THE POLISH EDITION;11
7;CHAPTER I. SEQUENCES AND SERIES;12
7.1;§ 1. INTRODUCTION;12
7.2;§ 2. INFINITE SEQUENCES;27
7.3;§ 3. INFINITE SERIES;56
8;CHAPTER II. FUNCTIONS;82
8.1;§ 4. FUNCTIONS AND THEIR LIMITS;82
8.2;§ 5. CONTINUOUS FUNCTIONS;103
8.3;§ 6. SEQUENCES AND SERIES OF FUNCTIONS;119
9;CHAPTER III. DIFFERENTIAL CALCULUS;139
9.1;§ 7. DERIVATIVES OF THE FIRST ORDER;139
9.2;§ 8. DERIVATIVES OF HIGHER ORDERS;181
10;CHAPTER IV. INTEGRAL CALCULUS;202
10.1;§ 9. INDEFINITE INTEGRALS;202
10.2;§ 10. DEFINITE INTEGRALS;225
10.3;§ 11. IMPROPER INTEGRALS AND THEIR CONNECTION WITH INFINITE SERIES;274
11;SUPPLEMENT: ADDITIONAL EXERCISES;312
12;INDEX;329
