Vector calculus:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Burlington, MA
Elsevier
1998
|
| Schriftenreihe: | Modular mathematics series
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 |
| Beschreibung: | "Transferred to digital printing 2004.". - Title from PDF title page (viewed on Apr. 4, 2013) Includes bibliographical references (page 217) and index Front Cover; Vector Calculus; Copyright Page; Table of Contents; Series Preface; Preface; Acknowledgement; Chapter 1. Introduction: A View from the Hill; 1.1 Steepness in any direction; 1.2 Reaching the top; 1.3 Volumes in three dimensions; 1.4 Getting your bearings -- vectors; Further exercises; Chapter 2. Functions of More Than One Variable; 2.1 Functions of two variables; 2.2 Sets of points in a plane; 2.3 Three-dimensional coordinate systems; 2.4 Sketching graphs in three dimensions; 2.5 The quadric surfaces: project; Further exercises; Chapter 3. Limits and Continuity: Analytical Aspects 3.1 The case of a single variable3.2 Limits of functions of more than one variable; 3.3 Continuity; 3.4 Partial derivatives as limits; 3.5 The rules of partial differentiation derived from the propertiesof limits; Further exercises; Chapter 4. Differentiation of Functions of More Than One Variable; 4.1 Partial derivatives and their properties; 4.2 Higher-order derivatives; 4.3 Differentiation of functions of more than two variables; 4.4 Partial differential equations; 4.5 The chain rules; 4.6 The total differential; Further exercises; Chapter 5. Differentiability: Analytical Aspects 5.1 Introduction5.2 Differentiability: a definition; 5.3 Conditions for a function to be differentiable; 5.4 Proof of the chain rules; 5.5 The tangent plane as a linear approximation to a surface; Further exercises; Chapter 6. Taylor Series for Functionsof Several Variables; 6.1 Introduction; 6.2 Taylor series for functions of two variables; 6.3 Taylor's theorem for functions of more than two variables:project; 6.4 Extreme values for functions of two variables; 6.5 Maxima and minima with constraints: Lagrange multipliers; Further exercises; Chapter 7. Multiple Integration; 7.1 Introduction 7.2 Double integrals over a rectangle: volume under a surface7.3 Double integrals over general regions and other properties; 7.4 The evaluation of double integrals: repeated integration; 7.5 Reversing the order of integration; 7.6 Double integrals in polar coordinates; 7.7 Surface area; 7.8 Triple integrals; 7.9 Change of variables in multiple integrals: project; Further exercises; Chapter 8. Functionsof a Vector; 8.1 Introduction: what is a vector?; 8.2 Rotation of axes; 8.3 The summation convention; 8.4 Definition ofa vector; 8.5 Parametric equations and vector-valued functions 8.6 Calculus of vector-valued functions8.7 Curves and the tangent vector; 8.8 Arc length; 8.9 Curvature and torsion; Further exercises; Chapter 9. Vector Differential Operators; 9.1 Directional derivatives and the gradient; 9.2 Tangent planes and normal lines; 9.3 Differentiability revisited via the gradient; 9.4 What is a vector -- again?; 9.5 Scalar and vector fields; 9.6 The gradient of a scalar field; 9.7 Divergence and curl of a vector field; 9.8 Properties of div and curl: vector identities; 9.9 The vector operators grad, div and curl in general orthogonalcurvilinear coordinates Building on previous texts in the Modular Mathematics series, in particular 'Vectors in Two or Three Dimensions' and 'Calculus and ODEs', this book introduces the student to the concept of vector calculus. It provides an overview of some of the key techniques as well as examining functions of more than one variable, including partial differentiation and multiple integration. Undergraduates who already have a basic understanding of calculus and vectors, will find this text provides tools with which to progress onto further studies; scientists who need an overview of higher order differen |
| Beschreibung: | vii, 244 pages |
| ISBN: | 9780080572956 0080572952 0340677414 9780340677414 |
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| 500 | |a "Transferred to digital printing 2004.". - Title from PDF title page (viewed on Apr. 4, 2013) | ||
| 500 | |a Includes bibliographical references (page 217) and index | ||
| 500 | |a Front Cover; Vector Calculus; Copyright Page; Table of Contents; Series Preface; Preface; Acknowledgement; Chapter 1. Introduction: A View from the Hill; 1.1 Steepness in any direction; 1.2 Reaching the top; 1.3 Volumes in three dimensions; 1.4 Getting your bearings -- vectors; Further exercises; Chapter 2. Functions of More Than One Variable; 2.1 Functions of two variables; 2.2 Sets of points in a plane; 2.3 Three-dimensional coordinate systems; 2.4 Sketching graphs in three dimensions; 2.5 The quadric surfaces: project; Further exercises; Chapter 3. Limits and Continuity: Analytical Aspects | ||
| 500 | |a 3.1 The case of a single variable3.2 Limits of functions of more than one variable; 3.3 Continuity; 3.4 Partial derivatives as limits; 3.5 The rules of partial differentiation derived from the propertiesof limits; Further exercises; Chapter 4. Differentiation of Functions of More Than One Variable; 4.1 Partial derivatives and their properties; 4.2 Higher-order derivatives; 4.3 Differentiation of functions of more than two variables; 4.4 Partial differential equations; 4.5 The chain rules; 4.6 The total differential; Further exercises; Chapter 5. Differentiability: Analytical Aspects | ||
| 500 | |a 5.1 Introduction5.2 Differentiability: a definition; 5.3 Conditions for a function to be differentiable; 5.4 Proof of the chain rules; 5.5 The tangent plane as a linear approximation to a surface; Further exercises; Chapter 6. Taylor Series for Functionsof Several Variables; 6.1 Introduction; 6.2 Taylor series for functions of two variables; 6.3 Taylor's theorem for functions of more than two variables:project; 6.4 Extreme values for functions of two variables; 6.5 Maxima and minima with constraints: Lagrange multipliers; Further exercises; Chapter 7. Multiple Integration; 7.1 Introduction | ||
| 500 | |a 7.2 Double integrals over a rectangle: volume under a surface7.3 Double integrals over general regions and other properties; 7.4 The evaluation of double integrals: repeated integration; 7.5 Reversing the order of integration; 7.6 Double integrals in polar coordinates; 7.7 Surface area; 7.8 Triple integrals; 7.9 Change of variables in multiple integrals: project; Further exercises; Chapter 8. Functionsof a Vector; 8.1 Introduction: what is a vector?; 8.2 Rotation of axes; 8.3 The summation convention; 8.4 Definition ofa vector; 8.5 Parametric equations and vector-valued functions | ||
| 500 | |a 8.6 Calculus of vector-valued functions8.7 Curves and the tangent vector; 8.8 Arc length; 8.9 Curvature and torsion; Further exercises; Chapter 9. Vector Differential Operators; 9.1 Directional derivatives and the gradient; 9.2 Tangent planes and normal lines; 9.3 Differentiability revisited via the gradient; 9.4 What is a vector -- again?; 9.5 Scalar and vector fields; 9.6 The gradient of a scalar field; 9.7 Divergence and curl of a vector field; 9.8 Properties of div and curl: vector identities; 9.9 The vector operators grad, div and curl in general orthogonalcurvilinear coordinates | ||
| 500 | |a Building on previous texts in the Modular Mathematics series, in particular 'Vectors in Two or Three Dimensions' and 'Calculus and ODEs', this book introduces the student to the concept of vector calculus. It provides an overview of some of the key techniques as well as examining functions of more than one variable, including partial differentiation and multiple integration. Undergraduates who already have a basic understanding of calculus and vectors, will find this text provides tools with which to progress onto further studies; scientists who need an overview of higher order differen | ||
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| 650 | 4 | |a Vector analysis | |
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Datensatz im Suchindex
| _version_ | 1804176601580044288 |
|---|---|
| any_adam_object | |
| author | Cox, Bill 1945- |
| author_facet | Cox, Bill 1945- |
| author_role | aut |
| author_sort | Cox, Bill 1945- |
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| dewey-full | 515/.63 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.63 |
| dewey-search | 515/.63 |
| dewey-sort | 3515 263 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043775643 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:34:47Z |
| institution | BVB |
| isbn | 9780080572956 0080572952 0340677414 9780340677414 |
| language | English |
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| spelling | Cox, Bill 1945- Verfasser aut Vector calculus W. Cox Burlington, MA Elsevier 1998 vii, 244 pages txt rdacontent c rdamedia cr rdacarrier Modular mathematics series "Transferred to digital printing 2004.". - Title from PDF title page (viewed on Apr. 4, 2013) Includes bibliographical references (page 217) and index Front Cover; Vector Calculus; Copyright Page; Table of Contents; Series Preface; Preface; Acknowledgement; Chapter 1. Introduction: A View from the Hill; 1.1 Steepness in any direction; 1.2 Reaching the top; 1.3 Volumes in three dimensions; 1.4 Getting your bearings -- vectors; Further exercises; Chapter 2. Functions of More Than One Variable; 2.1 Functions of two variables; 2.2 Sets of points in a plane; 2.3 Three-dimensional coordinate systems; 2.4 Sketching graphs in three dimensions; 2.5 The quadric surfaces: project; Further exercises; Chapter 3. Limits and Continuity: Analytical Aspects 3.1 The case of a single variable3.2 Limits of functions of more than one variable; 3.3 Continuity; 3.4 Partial derivatives as limits; 3.5 The rules of partial differentiation derived from the propertiesof limits; Further exercises; Chapter 4. Differentiation of Functions of More Than One Variable; 4.1 Partial derivatives and their properties; 4.2 Higher-order derivatives; 4.3 Differentiation of functions of more than two variables; 4.4 Partial differential equations; 4.5 The chain rules; 4.6 The total differential; Further exercises; Chapter 5. Differentiability: Analytical Aspects 5.1 Introduction5.2 Differentiability: a definition; 5.3 Conditions for a function to be differentiable; 5.4 Proof of the chain rules; 5.5 The tangent plane as a linear approximation to a surface; Further exercises; Chapter 6. Taylor Series for Functionsof Several Variables; 6.1 Introduction; 6.2 Taylor series for functions of two variables; 6.3 Taylor's theorem for functions of more than two variables:project; 6.4 Extreme values for functions of two variables; 6.5 Maxima and minima with constraints: Lagrange multipliers; Further exercises; Chapter 7. Multiple Integration; 7.1 Introduction 7.2 Double integrals over a rectangle: volume under a surface7.3 Double integrals over general regions and other properties; 7.4 The evaluation of double integrals: repeated integration; 7.5 Reversing the order of integration; 7.6 Double integrals in polar coordinates; 7.7 Surface area; 7.8 Triple integrals; 7.9 Change of variables in multiple integrals: project; Further exercises; Chapter 8. Functionsof a Vector; 8.1 Introduction: what is a vector?; 8.2 Rotation of axes; 8.3 The summation convention; 8.4 Definition ofa vector; 8.5 Parametric equations and vector-valued functions 8.6 Calculus of vector-valued functions8.7 Curves and the tangent vector; 8.8 Arc length; 8.9 Curvature and torsion; Further exercises; Chapter 9. Vector Differential Operators; 9.1 Directional derivatives and the gradient; 9.2 Tangent planes and normal lines; 9.3 Differentiability revisited via the gradient; 9.4 What is a vector -- again?; 9.5 Scalar and vector fields; 9.6 The gradient of a scalar field; 9.7 Divergence and curl of a vector field; 9.8 Properties of div and curl: vector identities; 9.9 The vector operators grad, div and curl in general orthogonalcurvilinear coordinates Building on previous texts in the Modular Mathematics series, in particular 'Vectors in Two or Three Dimensions' and 'Calculus and ODEs', this book introduces the student to the concept of vector calculus. It provides an overview of some of the key techniques as well as examining functions of more than one variable, including partial differentiation and multiple integration. Undergraduates who already have a basic understanding of calculus and vectors, will find this text provides tools with which to progress onto further studies; scientists who need an overview of higher order differen Vector analysis MATHEMATICS / Vector Analysis bisacsh Vector analysis fast Vektoranalysis swd Vektoranalysis (DE-588)4191992-0 gnd rswk-swf Vektoranalysis (DE-588)4191992-0 s 1\p DE-604 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Cox, Bill 1945- Vector calculus Vector analysis MATHEMATICS / Vector Analysis bisacsh Vector analysis fast Vektoranalysis swd Vektoranalysis (DE-588)4191992-0 gnd |
| subject_GND | (DE-588)4191992-0 |
| title | Vector calculus |
| title_auth | Vector calculus |
| title_exact_search | Vector calculus |
| title_full | Vector calculus W. Cox |
| title_fullStr | Vector calculus W. Cox |
| title_full_unstemmed | Vector calculus W. Cox |
| title_short | Vector calculus |
| title_sort | vector calculus |
| topic | Vector analysis MATHEMATICS / Vector Analysis bisacsh Vector analysis fast Vektoranalysis swd Vektoranalysis (DE-588)4191992-0 gnd |
| topic_facet | Vector analysis MATHEMATICS / Vector Analysis Vektoranalysis |
| work_keys_str_mv | AT coxbill vectorcalculus |