E-Book, Englisch, 208 Seiten, Web PDF
Krysicki / Wlordarski / Zielicki Problems and Methods in Analysis
1. Auflage 2014
ISBN: 978-1-4832-8063-9
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 208 Seiten, Web PDF
ISBN: 978-1-4832-8063-9
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark
Problems and Methods in Analysis, Volume 2 provides information pertinent to the methods of calculus. This book provides solutions to problems in analytical calculus. Organized into five chapters, this volume begins with an overview of the integration of functions that are not defined or are not bounded at a finite number of points, and with integrals in which the interval of integration is infinitely large. This text then defines the radius of curvature and provides the formula for curvature and radius of curvature. Other chapters consider the equation of tangent and normal. This book discusses as well the amplitudes of the harmonic components of a set of oscilloscope time base potentials. The final chapter deals with the Euler-Fourier formula, the Fourier series, and Dirichlet's conditions. This book is intended to be suitable for sixth form students, particularly scholarship students. First year university students who need a systematic course in calculus will also find this book useful.
Autoren/Hrsg.
Weitere Infos & Material
1;Front Cover;1
2;Problems and Methods in Analysis;4
3;Copyright Page;5
4;Table of Contents;6
5;FOREWORD;13
6;CHAPTER 10. INDEFINITE INTEGRALS;16
6.1;1. Introduction;16
6.2;2. Some standard forms;16
6.3;3. Some general properties of indefinite integrals;19
6.4;4. The integration of rational functions;28
6.5;5. The integration of irrational functions;46
6.6;6. The integration of trigonometric functions;65
6.7;7. The integration of inverse circular functions;83
6.8;8. The integration of logarithmic and exponential functions;86
7;CHAPTER 11. DEFINITE INTEGRALS;89
7.1;1. General remarks;89
7.2;2. Properties of definite integrals;91
7.3;3. Applications of definite integrals;103
7.4;4. Irregular integrals;133
8;CHAPTER 12.
MAXIMA AND MINIMA
OF A FUNCTION OF TWO
VARIABLES;143
8.1;1. Definition;143
8.2;2. Theorem;143
9;CHAPTER 13. TANGENTS AND NORMALS. CURVATURE;149
9.1;1. Tangents and normals;149
9.2;2. Curvature and radius of curvature;152
9.3;3. Evolute and involute;159
10;CHAPTER 14. FOURIER SERIES;167
10.1;1. General ideas;167
11;ANSWERS;180
12;INDEX;208
