Vector calculus /:
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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Burlington, MA :
Elsevier,
1998.
|
| Series: | Modular mathematics series.
|
| Subjects: | |
| Online Access: | DE-862 DE-863 |
| Summary: | 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. |
| Item Description: | "Transferred to digital printing 2004." Title from PDF title page (viewed on Apr. 4, 2013). |
| Physical Description: | 1 online resource (vii, 244 pages) : illustrations |
| Bibliography: | Includes bibliographical references (page 217) and index. |
| ISBN: | 9780080572956 0080572952 |
Staff View
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | ZDB-4-EBA-ocn835594152 | ||
| 003 | OCoLC | ||
| 005 | 20250103110447.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 130404s1998 enka ob 001 0 eng d | ||
| 040 | |a N$T |b eng |e pn |c N$T |d OCLCF |d YDXCP |d EBLCP |d UKDOC |d OCLCQ |d AGLDB |d MERUC |d OCLCQ |d OCLCO |d VTS |d OCLCQ |d M8D |d OCLCQ |d AJS |d OCLCO |d OCLCQ |d OCLCO |d OCLCL |d OCLCQ | ||
| 019 | |a 818819981 |a 906597087 | ||
| 020 | |a 9780080572956 |q (electronic bk.) | ||
| 020 | |a 0080572952 |q (electronic bk.) | ||
| 020 | |z 0340677414 | ||
| 020 | |z 9780340677414 | ||
| 035 | |a (OCoLC)835594152 |z (OCoLC)818819981 |z (OCoLC)906597087 | ||
| 050 | 4 | |a QA433 | |
| 072 | 7 | |a MAT |x 033000 |2 bisacsh | |
| 082 | 7 | |a 515/.63 |2 23 | |
| 049 | |a MAIN | ||
| 100 | 1 | |a Cox, Bill, |d 1945- |1 https://id.oclc.org/worldcat/entity/E39PCjw8wdtk9PwtQgbwPcTHBX |0 http://id.loc.gov/authorities/names/nb98028750 | |
| 245 | 1 | 0 | |a Vector calculus / |c W. Cox. |
| 260 | |a Burlington, MA : |b Elsevier, |c 1998. | ||
| 300 | |a 1 online resource (vii, 244 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Modular mathematics series | |
| 500 | |a "Transferred to digital printing 2004." | ||
| 500 | |a Title from PDF title page (viewed on Apr. 4, 2013). | ||
| 504 | |a Includes bibliographical references (page 217) and index. | ||
| 505 | 0 | |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. | |
| 505 | 8 | |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. | |
| 505 | 8 | |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. | |
| 505 | 8 | |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. | |
| 505 | 8 | |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. | |
| 520 | |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. | ||
| 650 | 0 | |a Vector analysis. |0 http://id.loc.gov/authorities/subjects/sh85142449 | |
| 650 | 6 | |a Analyse vectorielle. | |
| 650 | 7 | |a MATHEMATICS |x Vector Analysis. |2 bisacsh | |
| 650 | 7 | |a Vector analysis |2 fast | |
| 650 | 7 | |a Vektoranalysis |2 gnd |0 http://d-nb.info/gnd/4191992-0 | |
| 758 | |i has work: |a Vector calculus (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGPyVK4d8XtRwhYTbXWpWC |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Cox, Bill, 1945- |t Vector calculus. |d Burlington, MA : Elsevier, 1998 |z 0340677414 |z 9780340677414 |w (DLC) 00456322 |w (OCoLC)40262963 |
| 830 | 0 | |a Modular mathematics series. |0 http://id.loc.gov/authorities/names/no96016632 | |
| 966 | 4 | 0 | |l DE-862 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=501474 |3 Volltext |
| 966 | 4 | 0 | |l DE-863 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=501474 |3 Volltext |
| 938 | |a 123Library |b 123L |n 53955 | ||
| 938 | |a EBL - Ebook Library |b EBLB |n EBL1061949 | ||
| 938 | |a EBSCOhost |b EBSC |n 501474 | ||
| 938 | |a YBP Library Services |b YANK |n 9753100 | ||
| 994 | |a 92 |b GEBAY | ||
| 912 | |a ZDB-4-EBA | ||
| 049 | |a DE-862 | ||
| 049 | |a DE-863 | ||
Record in the Search Index
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn835594152 |
|---|---|
| _version_ | 1829094954507436032 |
| adam_text | |
| any_adam_object | |
| author | Cox, Bill, 1945- |
| author_GND | http://id.loc.gov/authorities/names/nb98028750 |
| author_facet | Cox, Bill, 1945- |
| author_role | |
| author_sort | Cox, Bill, 1945- |
| author_variant | b c bc |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA433 |
| callnumber-raw | QA433 |
| callnumber-search | QA433 |
| callnumber-sort | QA 3433 |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| contents | 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. |
| ctrlnum | (OCoLC)835594152 |
| 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 |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>06076cam a2200601 a 4500</leader><controlfield tag="001">ZDB-4-EBA-ocn835594152</controlfield><controlfield tag="003">OCoLC</controlfield><controlfield tag="005">20250103110447.0</controlfield><controlfield tag="006">m o d </controlfield><controlfield tag="007">cr cnu---unuuu</controlfield><controlfield tag="008">130404s1998 enka ob 001 0 eng d</controlfield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">N$T</subfield><subfield code="b">eng</subfield><subfield code="e">pn</subfield><subfield code="c">N$T</subfield><subfield code="d">OCLCF</subfield><subfield code="d">YDXCP</subfield><subfield code="d">EBLCP</subfield><subfield code="d">UKDOC</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">AGLDB</subfield><subfield code="d">MERUC</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">VTS</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">M8D</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">AJS</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCL</subfield><subfield code="d">OCLCQ</subfield></datafield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">818819981</subfield><subfield code="a">906597087</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780080572956</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0080572952</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">0340677414</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9780340677414</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)835594152</subfield><subfield code="z">(OCoLC)818819981</subfield><subfield code="z">(OCoLC)906597087</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA433</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT</subfield><subfield code="x">033000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="7" ind2=" "><subfield code="a">515/.63</subfield><subfield code="2">23</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">MAIN</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Cox, Bill,</subfield><subfield code="d">1945-</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCjw8wdtk9PwtQgbwPcTHBX</subfield><subfield code="0">http://id.loc.gov/authorities/names/nb98028750</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Vector calculus /</subfield><subfield code="c">W. Cox.</subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="a">Burlington, MA :</subfield><subfield code="b">Elsevier,</subfield><subfield code="c">1998.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (vii, 244 pages) :</subfield><subfield code="b">illustrations</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Modular mathematics series</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">"Transferred to digital printing 2004."</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Title from PDF title page (viewed on Apr. 4, 2013).</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (page 217) and index.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="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.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="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.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="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.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="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.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="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.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="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.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Vector analysis.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85142449</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Analyse vectorielle.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS</subfield><subfield code="x">Vector Analysis.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Vector analysis</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Vektoranalysis</subfield><subfield code="2">gnd</subfield><subfield code="0">http://d-nb.info/gnd/4191992-0</subfield></datafield><datafield tag="758" ind1=" " ind2=" "><subfield code="i">has work:</subfield><subfield code="a">Vector calculus (Text)</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCGPyVK4d8XtRwhYTbXWpWC</subfield><subfield code="4">https://id.oclc.org/worldcat/ontology/hasWork</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="a">Cox, Bill, 1945-</subfield><subfield code="t">Vector calculus.</subfield><subfield code="d">Burlington, MA : Elsevier, 1998</subfield><subfield code="z">0340677414</subfield><subfield code="z">9780340677414</subfield><subfield code="w">(DLC) 00456322</subfield><subfield code="w">(OCoLC)40262963</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Modular mathematics series.</subfield><subfield code="0">http://id.loc.gov/authorities/names/no96016632</subfield></datafield><datafield tag="966" ind1="4" ind2="0"><subfield code="l">DE-862</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=501474</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="4" ind2="0"><subfield code="l">DE-863</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=501474</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">123Library</subfield><subfield code="b">123L</subfield><subfield code="n">53955</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBL - Ebook Library</subfield><subfield code="b">EBLB</subfield><subfield code="n">EBL1061949</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">501474</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">9753100</subfield></datafield><datafield tag="994" ind1=" " ind2=" "><subfield code="a">92</subfield><subfield code="b">GEBAY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-862</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-863</subfield></datafield></record></collection> |
| id | ZDB-4-EBA-ocn835594152 |
| illustrated | Illustrated |
| indexdate | 2025-04-11T08:41:20Z |
| institution | BVB |
| isbn | 9780080572956 0080572952 |
| language | English |
| oclc_num | 835594152 |
| open_access_boolean | |
| owner | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| physical | 1 online resource (vii, 244 pages) : illustrations |
| psigel | ZDB-4-EBA FWS_PDA_EBA ZDB-4-EBA |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Elsevier, |
| record_format | marc |
| series | Modular mathematics series. |
| series2 | Modular mathematics series |
| spelling | Cox, Bill, 1945- https://id.oclc.org/worldcat/entity/E39PCjw8wdtk9PwtQgbwPcTHBX http://id.loc.gov/authorities/names/nb98028750 Vector calculus / W. Cox. Burlington, MA : Elsevier, 1998. 1 online resource (vii, 244 pages) : illustrations text txt rdacontent computer c rdamedia online resource 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. http://id.loc.gov/authorities/subjects/sh85142449 Analyse vectorielle. MATHEMATICS Vector Analysis. bisacsh Vector analysis fast Vektoranalysis gnd http://d-nb.info/gnd/4191992-0 has work: Vector calculus (Text) https://id.oclc.org/worldcat/entity/E39PCGPyVK4d8XtRwhYTbXWpWC https://id.oclc.org/worldcat/ontology/hasWork Print version: Cox, Bill, 1945- Vector calculus. Burlington, MA : Elsevier, 1998 0340677414 9780340677414 (DLC) 00456322 (OCoLC)40262963 Modular mathematics series. http://id.loc.gov/authorities/names/no96016632 |
| spellingShingle | Cox, Bill, 1945- Vector calculus / Modular mathematics series. 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. Vector analysis. http://id.loc.gov/authorities/subjects/sh85142449 Analyse vectorielle. MATHEMATICS Vector Analysis. bisacsh Vector analysis fast Vektoranalysis gnd http://d-nb.info/gnd/4191992-0 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85142449 http://d-nb.info/gnd/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. http://id.loc.gov/authorities/subjects/sh85142449 Analyse vectorielle. MATHEMATICS Vector Analysis. bisacsh Vector analysis fast Vektoranalysis gnd http://d-nb.info/gnd/4191992-0 |
| topic_facet | Vector analysis. Analyse vectorielle. MATHEMATICS Vector Analysis. Vector analysis Vektoranalysis |
| work_keys_str_mv | AT coxbill vectorcalculus |