E-Book, Englisch, 240 Seiten, Web PDF
Christensen Computing for Calculus
1. Auflage 2014
ISBN: 978-1-4832-7108-8
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 240 Seiten, Web PDF
ISBN: 978-1-4832-7108-8
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark
Computing for Calculus focuses on BASIC as the computer language used for solving calculus problems. This book discusses the input statement for numeric variables, advanced intrinsic functions, numerical estimation of limits, and linear approximations and tangents. The elementary estimation of areas, numerical and string arrays, line drawing algorithms, and bisection and secant method are also elaborated. This text likewise covers the implicit functions and differentiation, upper and lower rectangular estimates, Simpson's rule and parabolic approximation, and interpolating polynomials. Other topics include the Taylor polynomials, estimating the limit of a sequence, infinite series, and level curves and central projection of surfaces. This publication is beneficial to math students and specialists who use computer languages for educational purposes.
Autoren/Hrsg.
Weitere Infos & Material
1;Front Cover;1
2;Computing for Calculus;2
3;Copyright Page;3
4;Table of Contents;4
5;CHAPTER 1. Basic BASIC;6
5.1;SECTION 1.1 THE LANGUAGE BASIC;6
5.2;SECTION 1.2 THE STRUCTURE OF A COMPUTER PROGRAM;6
5.3;SECTION 1.3 NUMERIC VARIABLES;8
5.4;SECTION 1.4 PRINTING NUMERIC VARIABLES;12
5.5;SECTION 1.5 THE INPUT STATEMENT FOR NUMERIC VARIABLES;17
5.6;SECTION 1.6 PRINTING STRING CONSTANTS;21
5.7;SECTION 1.7 STRING VARIABLES;25
5.8;SECTION 1.8 THE FOR-NEXT STATEMENTS: LOOPING;29
5.9;SECTION 1.9 THE INTRINSIC FUNCTIONS;36
5.10;SECTION 1.10 ADVANCED INTRINSIC FUNCTIONS;40
5.11;SECTION 1.11 USER DEFINED FUNCTIONS: THE DEF STATEMENT;47
5.12;SECTION 1.12 THE IF AND GOTO STATEMENTS: DECISIONS, DECISIONS;51
5.13;SECTION 1.13 THE GOSUB STATEMENT: THERE AND BACK AGAIN;59
6;CHAPTER 2. ESTIMATION OF DERIVATIVES;67
6.1;SECTION 2.1 PRINTING TABLES OF FUNCTIONS;67
6.2;SECTION 2.2 NUMERICAL ESTIMATION OF THE FIRST DERIVATIVE;71
6.3;SECTION 2.3 NUMERICAL ESTIMATION OF LIMITS;79
6.4;SECTION 2.4 LINEAR APPROXIMATIONS AND TANGENTS;84
7;CHAPTER 3. THE DEFINITE INTEGRAL;91
7.1;SECTION 3.1 ELEMENTARY ESTIMATION OF AREAS;91
8;CHAPTER 4. GRAPHICS;97
8.1;SECTION 4.1 ELEMENTARY GRAPHICS;97
8.2;SECTION 4.2 NUMERICAL AND STRING ARRAYS;101
8.3;SECTION 4.3 LINE DRAWING ALGORITHMS;108
8.4;SECTION 4.4 POLAR GRAPHING;115
9;CHAPTER 5. SOLVING EQUATIONS;118
9.1;SECTION 5.1 THE BISECTION METHOD;118
9.2;SECTION 5.2 THE SECANT METHOD;127
9.3;SECTION 5.3 NEWTON'S METHOD;136
10;CHAPTER 6. IMPLICIT FUNCTIONS AND DIFFERENTIATION;140
10.1;SECTION 6.1 IMPLICIT FUNCTIONS;140
10.2;SECTION 6.2 IMPLICIT DIFFERENTIATION;150
11;CHAPTER 7. ESTIMATION OF AREAS REVISITED;154
11.1;SECTION 7.1 UPPER AND LOWER RECTANGULAR ESTIMATES;154
11.2;SECTION 7.2 THE TRAPEZOIDAL RULE;160
11.3;SECTION 7.3 SIMPSON'S RULE AND PARABOLIC APPROXIMATION;167
12;CHAPTER 8. APPROXIMATION OF FUNCTIONS;179
12.1;SECTION 8.1 INTERPOLATING POLYNOMIALS;179
12.2;SECTION 8.2 TAYLOR POLYNOMIALS;191
13;CHAPTER 9. ESTIMATION OF SEQUENCES AND SERIES;207
13.1;SECTION 9.1 ESTIMATING THE LIMIT OF A SEQUENCE;207
13.2;SECTION 9.2 INFINITE SERIES;213
14;CHAPTER 10. THREE DIMENSIONAL GRAPHICS;219
14.1;SECTION 10.1 LEVEL CURVES OF A SURFACE;219
14.2;SECTION 10.2 THE CENTRAL PROJECTION OF SURFACES;226
15;APPENDIX TO SECTION 5.3 NEWTON'S METHOD;233
16;APPENDIX TO SECTION 7.1 UPPER AND LOWER RECTANGULAR ESTIMATES;238
17;APPENDIX TO SECTION 10.2 THE CENTRAL PROJECTION OF SURFACES;240
