Calculus and ODEs:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Oxford
Elsevier
1996
|
| Schriftenreihe: | Modular mathematics series
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 |
| Beschreibung: | Includes index Front Cover; Calculus and ODEs; Copyright Page; Table of Contents; Series Preface; Preface; Chapter 1. Introduction; 1.1 Four aims; 1.2 Learning about calculus; Chapter 2. Functions; 2.1 What is a function?; 2.2 Functions and their graphs; 2.3 What is a continuous function?; 2.4 What is a limit?; Summary; Further exercises; Chapter 3. Getting Functions Together; 3.1 Ways of combining functions; 3.2 Composition and inverse; Summary; Further exercises; Chapter 4. Rates of Change, Slopes, Tangents; 4.1 Rates of change and gradients; 4.2 Tangents and linear approximation; 4.3 Speed and velocity Further exercises; Chapter 5. Differentiation; 5.1 Differentiation as a linear operator; 5.2 Products, quotients, powers, ; 5.3 ... and power series; 5.4 The chain rule and differentiation of inverse functions; Summary; Further exercises; Chapter 6. Finding Out About Functions; 6.1 Derivatives ... and more derivatives; 6.2 The rise and fall of functions; 6.3 Maxima and minima; 6.4 More about second derivatives; Summary; Further exercises; Chapter 7. Some Special Functions; 7.1 The exponential function; 7.2 Exponential and logarithm; 7.3 Powers and their inverses 7.4 Sines, cosines, hyperbolic functions -- and complex numbersSummary; Further exercises; Chapter 8. The Antiderivative; 8.1 Antiderivatives and the indefinite integral; 8.2 Uses of the anti derivative; 8.3 Methods of integration; Summary; Further exercises; Chapter 9. TheDefinite Integral; 9.1 The definite and indefinite integral; 9.2 Uses of the definite integral; 9.3 The improper integral; Summary; Further exercises; Chapter 10. Differential Equations; 10.1 First order differential equations; 10.2 Series solutions and iterations; 10.3 How many solutions? 10.4 Applications of differential equationsSummary; Further exercises; Chapter 11. Linear Differential Equations; 11.1 First order linear differential equations; 11.2 Linear differential equations -- general theory; 11.3 Constant coefficient differential equations; Summary; Further exercises; Chapter 12. Looking Backand Looking Forward; 12.1 Looking back; 12.2 Signposts; Solutions; Index Professor Pearson's book starts with an introduction to the area and an explanation of the most commonly used functions. It then moves on through differentiation, special functions, derivatives, integrals and onto full differential equations. As with other books in the series the emphasis is on using worked examples and tutorial-based problem solving to gain the confidence of students |
| Beschreibung: | vi, 227 pages : |
| ISBN: | 9780080928654 008092865X 0340625309 9780340625309 |
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| 500 | |a Further exercises; Chapter 5. Differentiation; 5.1 Differentiation as a linear operator; 5.2 Products, quotients, powers, ; 5.3 ... and power series; 5.4 The chain rule and differentiation of inverse functions; Summary; Further exercises; Chapter 6. Finding Out About Functions; 6.1 Derivatives ... and more derivatives; 6.2 The rise and fall of functions; 6.3 Maxima and minima; 6.4 More about second derivatives; Summary; Further exercises; Chapter 7. Some Special Functions; 7.1 The exponential function; 7.2 Exponential and logarithm; 7.3 Powers and their inverses | ||
| 500 | |a 7.4 Sines, cosines, hyperbolic functions -- and complex numbersSummary; Further exercises; Chapter 8. The Antiderivative; 8.1 Antiderivatives and the indefinite integral; 8.2 Uses of the anti derivative; 8.3 Methods of integration; Summary; Further exercises; Chapter 9. TheDefinite Integral; 9.1 The definite and indefinite integral; 9.2 Uses of the definite integral; 9.3 The improper integral; Summary; Further exercises; Chapter 10. Differential Equations; 10.1 First order differential equations; 10.2 Series solutions and iterations; 10.3 How many solutions? | ||
| 500 | |a 10.4 Applications of differential equationsSummary; Further exercises; Chapter 11. Linear Differential Equations; 11.1 First order linear differential equations; 11.2 Linear differential equations -- general theory; 11.3 Constant coefficient differential equations; Summary; Further exercises; Chapter 12. Looking Backand Looking Forward; 12.1 Looking back; 12.2 Signposts; Solutions; Index | ||
| 500 | |a Professor Pearson's book starts with an introduction to the area and an explanation of the most commonly used functions. It then moves on through differentiation, special functions, derivatives, integrals and onto full differential equations. As with other books in the series the emphasis is on using worked examples and tutorial-based problem solving to gain the confidence of students | ||
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Datensatz im Suchindex
| _version_ | 1804176599122182144 |
|---|---|
| any_adam_object | |
| author | Pearson, D. |
| author_facet | Pearson, D. |
| author_role | aut |
| author_sort | Pearson, D. |
| author_variant | d p dp |
| building | Verbundindex |
| bvnumber | BV043774308 |
| collection | ZDB-4-EBA |
| ctrlnum | (ZDB-4-EBA)ocn815470917 (OCoLC)815470917 (DE-599)BVBBV043774308 |
| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043774308 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:34:44Z |
| institution | BVB |
| isbn | 9780080928654 008092865X 0340625309 9780340625309 |
| language | English |
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| physical | vi, 227 pages : |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 1996 |
| publishDateSearch | 1996 |
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| publisher | Elsevier |
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| series2 | Modular mathematics series |
| spelling | Pearson, D. Verfasser aut Calculus and ODEs D. Pearson Oxford Elsevier 1996 vi, 227 pages : txt rdacontent c rdamedia cr rdacarrier Modular mathematics series Includes index Front Cover; Calculus and ODEs; Copyright Page; Table of Contents; Series Preface; Preface; Chapter 1. Introduction; 1.1 Four aims; 1.2 Learning about calculus; Chapter 2. Functions; 2.1 What is a function?; 2.2 Functions and their graphs; 2.3 What is a continuous function?; 2.4 What is a limit?; Summary; Further exercises; Chapter 3. Getting Functions Together; 3.1 Ways of combining functions; 3.2 Composition and inverse; Summary; Further exercises; Chapter 4. Rates of Change, Slopes, Tangents; 4.1 Rates of change and gradients; 4.2 Tangents and linear approximation; 4.3 Speed and velocity Further exercises; Chapter 5. Differentiation; 5.1 Differentiation as a linear operator; 5.2 Products, quotients, powers, ; 5.3 ... and power series; 5.4 The chain rule and differentiation of inverse functions; Summary; Further exercises; Chapter 6. Finding Out About Functions; 6.1 Derivatives ... and more derivatives; 6.2 The rise and fall of functions; 6.3 Maxima and minima; 6.4 More about second derivatives; Summary; Further exercises; Chapter 7. Some Special Functions; 7.1 The exponential function; 7.2 Exponential and logarithm; 7.3 Powers and their inverses 7.4 Sines, cosines, hyperbolic functions -- and complex numbersSummary; Further exercises; Chapter 8. The Antiderivative; 8.1 Antiderivatives and the indefinite integral; 8.2 Uses of the anti derivative; 8.3 Methods of integration; Summary; Further exercises; Chapter 9. TheDefinite Integral; 9.1 The definite and indefinite integral; 9.2 Uses of the definite integral; 9.3 The improper integral; Summary; Further exercises; Chapter 10. Differential Equations; 10.1 First order differential equations; 10.2 Series solutions and iterations; 10.3 How many solutions? 10.4 Applications of differential equationsSummary; Further exercises; Chapter 11. Linear Differential Equations; 11.1 First order linear differential equations; 11.2 Linear differential equations -- general theory; 11.3 Constant coefficient differential equations; Summary; Further exercises; Chapter 12. Looking Backand Looking Forward; 12.1 Looking back; 12.2 Signposts; Solutions; Index Professor Pearson's book starts with an introduction to the area and an explanation of the most commonly used functions. It then moves on through differentiation, special functions, derivatives, integrals and onto full differential equations. As with other books in the series the emphasis is on using worked examples and tutorial-based problem solving to gain the confidence of students MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Calculus fast Calculus Analysis (DE-588)4001865-9 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Analysis (DE-588)4001865-9 s 1\p DE-604 Funktionentheorie (DE-588)4018935-1 s 2\p DE-604 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Pearson, D. Calculus and ODEs MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Calculus fast Calculus Analysis (DE-588)4001865-9 gnd Funktionentheorie (DE-588)4018935-1 gnd |
| subject_GND | (DE-588)4001865-9 (DE-588)4018935-1 |
| title | Calculus and ODEs |
| title_auth | Calculus and ODEs |
| title_exact_search | Calculus and ODEs |
| title_full | Calculus and ODEs D. Pearson |
| title_fullStr | Calculus and ODEs D. Pearson |
| title_full_unstemmed | Calculus and ODEs D. Pearson |
| title_short | Calculus and ODEs |
| title_sort | calculus and odes |
| topic | MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Calculus fast Calculus Analysis (DE-588)4001865-9 gnd Funktionentheorie (DE-588)4018935-1 gnd |
| topic_facet | MATHEMATICS / Calculus MATHEMATICS / Mathematical Analysis Calculus Analysis Funktionentheorie |
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