Multivariable and Vector Calculus :: an Introduction.
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Bloomfield :
Mercury Learning & Information,
2015.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 2.8 Extrema. |
| Beschreibung: | 1 online resource (430 pages) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781942270249 1942270240 |
Internformat
MARC
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| 100 | 1 | |a Santos, David A. | |
| 245 | 1 | 0 | |a Multivariable and Vector Calculus : |b an Introduction. |
| 260 | |a Bloomfield : |b Mercury Learning & Information, |c 2015. | ||
| 300 | |a 1 online resource (430 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
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| 505 | 0 | |a Title Page; Copyright; Dedication; Contents; Preface; Acknowledgments; Chapter 1: Vectors and Parametric Curves; 1.1 Points and Vectors on the Plane; 1.2 Scalar Product on the Plane; 1.3 Linear Independence; 1.4 Geometric Transformations in Two Dimensions; 1.5 Determinants in Two Dimensions; 1.6 Parametric Curves on the Plane; 1.7 Vectors in Space; 1.8 Cross Product; 1.9 Matrices in Three Dimensions; 1.10 Determinants in Three Dimensions; 1.11 Some Solid Geometry; 1.12 Cavalieri and the Pappus-Guldin Rules; 1.13 Dihedral Angles and Platonic Solids; 1.14 Spherical Trigonometry. | |
| 505 | 8 | |a 1.15 Canonical Surfaces1.16 Parametric Curves in Space; 1.17 Multidimensional Vectors; Chapter 2: Differentiation; 2.1 Some Topology; 2.2 Multivariable Functions; 2.3 Limits and Continuity; 2.4 Definition of the Derivative; 2.5 The Jacobi Matrix; 2.6 Gradients and Directional Derivatives; 2.7 Levi-Civita and Einstein; 2.8 Extrema; 2.9 Lagrange Multipliers; Chapter 3: Integration; 3.1 Differential Forms; 3.2 Zero-Manifolds; 3.3 One-Manifolds; 3.4 Closed and Exact Forms; 3.5 Two-Manifolds; 3.6 Change of Variables in Double Integrals; 3.7 Change to Polar Coordinates; 3.8 Three-Manifolds. | |
| 505 | 8 | |a 3.9 Change of Variables in Triple Integrals3.10 Surface Integrals; 3.11 Green's, Stokes', and Gauss' Theorems; Appendix A: Maple; A.1 Getting Started and Windows of Maple; A.2 Arithmetic; A.3 Symbolic Computation; A.4 Assignments; A.5 Working with Output; A.6 Solving Equations; A.7 Plots with Maple; A.8 Limits and Derivatives; A.9 Integration; A.10 Matrix; Appendix B: MATLAB; B.1 Getting Started and Windows of MATLAB; B.1.1 Using MATLAB in Calculations; B.2 Plotting; B.2.1 Two-dimensional Plotting; B.2.2 Three-Dimensional Plotting; B.3 Programming in MATLAB; B.3.1 For Loops; B.3.2 While Loops. | |
| 505 | 8 | |a B.3.3 If, Else, and ElseifB. 3.4 Switch; B.4 Symbolic Computation; B.4.1 Simplifying Symbolic Expressions; B.4.2 Differentiating Symbolic Expressions; B.4.3 Integrating Symbolic Expressions; B.4.4 Limits Symbolic Expressions; B.4.5 Taylor Series Symbolic Expressions; B.4.6 Sums Symbolic Expressions; B.4.7 Solving Equations as Symbolic Expressions; Appendix C: Answers TO ODD-Numbered Exercises; Chapter 1; 1.1 Points and Vectors on the Plane; 1.2 Scalar Product on the Plane; 1.3 Linear Independence; 1.4 Geometric Transformations in Two Dimensions; 1.5 Determinants in Two Dimensions. | |
| 505 | 8 | |a 1.6 Parametric Curves on the Plane1.7 Vectors in Space; 1.8 Cross Product; 1.9 Matrices in Three Dimensions; 1.10 Determinants in Three Dimensions; 1.11 Some Solid Geometry; 1.12 Cavalieri and the Pappus-Guldin Rules; 1.13 Dihedral Angles and Platonic Solids; 1.14 Spherical Trigonometry; 1.15 Canonical Surfaces; 1.16 Parametric Curves in Space; 1.17 Multidimensional Vectors; Chapter 2; 2.1 Some Topology; 2.2 Multivariable Functions; 2.3 Limits and Continuity; 2.4 Definition of the Derivative; 2.5 The Jacobi Matrix; 2.6 Gradients and Directional Derivatives; 2.7 Levi-Civita and Einstein. | |
| 500 | |a 2.8 Extrema. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 650 | 0 | |a Vector analysis. |0 http://id.loc.gov/authorities/subjects/sh85142449 | |
| 650 | 6 | |a Analyse vectorielle. | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Vector analysis |2 fast | |
| 700 | 1 | |a Musa, Sarhan M. | |
| 758 | |i has work: |a Multivariable and vector calculus (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGryxRXThtKM8wHBCWQXV3 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Santos, David A. |t Multivariable and Vector Calculus : An Introduction. |d Bloomfield : Mercury Learning & Information, ©2015 |
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| contents | Title Page; Copyright; Dedication; Contents; Preface; Acknowledgments; Chapter 1: Vectors and Parametric Curves; 1.1 Points and Vectors on the Plane; 1.2 Scalar Product on the Plane; 1.3 Linear Independence; 1.4 Geometric Transformations in Two Dimensions; 1.5 Determinants in Two Dimensions; 1.6 Parametric Curves on the Plane; 1.7 Vectors in Space; 1.8 Cross Product; 1.9 Matrices in Three Dimensions; 1.10 Determinants in Three Dimensions; 1.11 Some Solid Geometry; 1.12 Cavalieri and the Pappus-Guldin Rules; 1.13 Dihedral Angles and Platonic Solids; 1.14 Spherical Trigonometry. 1.15 Canonical Surfaces1.16 Parametric Curves in Space; 1.17 Multidimensional Vectors; Chapter 2: Differentiation; 2.1 Some Topology; 2.2 Multivariable Functions; 2.3 Limits and Continuity; 2.4 Definition of the Derivative; 2.5 The Jacobi Matrix; 2.6 Gradients and Directional Derivatives; 2.7 Levi-Civita and Einstein; 2.8 Extrema; 2.9 Lagrange Multipliers; Chapter 3: Integration; 3.1 Differential Forms; 3.2 Zero-Manifolds; 3.3 One-Manifolds; 3.4 Closed and Exact Forms; 3.5 Two-Manifolds; 3.6 Change of Variables in Double Integrals; 3.7 Change to Polar Coordinates; 3.8 Three-Manifolds. 3.9 Change of Variables in Triple Integrals3.10 Surface Integrals; 3.11 Green's, Stokes', and Gauss' Theorems; Appendix A: Maple; A.1 Getting Started and Windows of Maple; A.2 Arithmetic; A.3 Symbolic Computation; A.4 Assignments; A.5 Working with Output; A.6 Solving Equations; A.7 Plots with Maple; A.8 Limits and Derivatives; A.9 Integration; A.10 Matrix; Appendix B: MATLAB; B.1 Getting Started and Windows of MATLAB; B.1.1 Using MATLAB in Calculations; B.2 Plotting; B.2.1 Two-dimensional Plotting; B.2.2 Three-Dimensional Plotting; B.3 Programming in MATLAB; B.3.1 For Loops; B.3.2 While Loops. B.3.3 If, Else, and ElseifB. 3.4 Switch; B.4 Symbolic Computation; B.4.1 Simplifying Symbolic Expressions; B.4.2 Differentiating Symbolic Expressions; B.4.3 Integrating Symbolic Expressions; B.4.4 Limits Symbolic Expressions; B.4.5 Taylor Series Symbolic Expressions; B.4.6 Sums Symbolic Expressions; B.4.7 Solving Equations as Symbolic Expressions; Appendix C: Answers TO ODD-Numbered Exercises; Chapter 1; 1.1 Points and Vectors on the Plane; 1.2 Scalar Product on the Plane; 1.3 Linear Independence; 1.4 Geometric Transformations in Two Dimensions; 1.5 Determinants in Two Dimensions. 1.6 Parametric Curves on the Plane1.7 Vectors in Space; 1.8 Cross Product; 1.9 Matrices in Three Dimensions; 1.10 Determinants in Three Dimensions; 1.11 Some Solid Geometry; 1.12 Cavalieri and the Pappus-Guldin Rules; 1.13 Dihedral Angles and Platonic Solids; 1.14 Spherical Trigonometry; 1.15 Canonical Surfaces; 1.16 Parametric Curves in Space; 1.17 Multidimensional Vectors; Chapter 2; 2.1 Some Topology; 2.2 Multivariable Functions; 2.3 Limits and Continuity; 2.4 Definition of the Derivative; 2.5 The Jacobi Matrix; 2.6 Gradients and Directional Derivatives; 2.7 Levi-Civita and Einstein. |
| ctrlnum | (OCoLC)993063117 |
| dewey-full | 515.63 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.63 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| indexdate | 2024-11-27T13:27:55Z |
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| publisher | Mercury Learning & Information, |
| record_format | marc |
| spelling | Santos, David A. Multivariable and Vector Calculus : an Introduction. Bloomfield : Mercury Learning & Information, 2015. 1 online resource (430 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Print version record. Title Page; Copyright; Dedication; Contents; Preface; Acknowledgments; Chapter 1: Vectors and Parametric Curves; 1.1 Points and Vectors on the Plane; 1.2 Scalar Product on the Plane; 1.3 Linear Independence; 1.4 Geometric Transformations in Two Dimensions; 1.5 Determinants in Two Dimensions; 1.6 Parametric Curves on the Plane; 1.7 Vectors in Space; 1.8 Cross Product; 1.9 Matrices in Three Dimensions; 1.10 Determinants in Three Dimensions; 1.11 Some Solid Geometry; 1.12 Cavalieri and the Pappus-Guldin Rules; 1.13 Dihedral Angles and Platonic Solids; 1.14 Spherical Trigonometry. 1.15 Canonical Surfaces1.16 Parametric Curves in Space; 1.17 Multidimensional Vectors; Chapter 2: Differentiation; 2.1 Some Topology; 2.2 Multivariable Functions; 2.3 Limits and Continuity; 2.4 Definition of the Derivative; 2.5 The Jacobi Matrix; 2.6 Gradients and Directional Derivatives; 2.7 Levi-Civita and Einstein; 2.8 Extrema; 2.9 Lagrange Multipliers; Chapter 3: Integration; 3.1 Differential Forms; 3.2 Zero-Manifolds; 3.3 One-Manifolds; 3.4 Closed and Exact Forms; 3.5 Two-Manifolds; 3.6 Change of Variables in Double Integrals; 3.7 Change to Polar Coordinates; 3.8 Three-Manifolds. 3.9 Change of Variables in Triple Integrals3.10 Surface Integrals; 3.11 Green's, Stokes', and Gauss' Theorems; Appendix A: Maple; A.1 Getting Started and Windows of Maple; A.2 Arithmetic; A.3 Symbolic Computation; A.4 Assignments; A.5 Working with Output; A.6 Solving Equations; A.7 Plots with Maple; A.8 Limits and Derivatives; A.9 Integration; A.10 Matrix; Appendix B: MATLAB; B.1 Getting Started and Windows of MATLAB; B.1.1 Using MATLAB in Calculations; B.2 Plotting; B.2.1 Two-dimensional Plotting; B.2.2 Three-Dimensional Plotting; B.3 Programming in MATLAB; B.3.1 For Loops; B.3.2 While Loops. B.3.3 If, Else, and ElseifB. 3.4 Switch; B.4 Symbolic Computation; B.4.1 Simplifying Symbolic Expressions; B.4.2 Differentiating Symbolic Expressions; B.4.3 Integrating Symbolic Expressions; B.4.4 Limits Symbolic Expressions; B.4.5 Taylor Series Symbolic Expressions; B.4.6 Sums Symbolic Expressions; B.4.7 Solving Equations as Symbolic Expressions; Appendix C: Answers TO ODD-Numbered Exercises; Chapter 1; 1.1 Points and Vectors on the Plane; 1.2 Scalar Product on the Plane; 1.3 Linear Independence; 1.4 Geometric Transformations in Two Dimensions; 1.5 Determinants in Two Dimensions. 1.6 Parametric Curves on the Plane1.7 Vectors in Space; 1.8 Cross Product; 1.9 Matrices in Three Dimensions; 1.10 Determinants in Three Dimensions; 1.11 Some Solid Geometry; 1.12 Cavalieri and the Pappus-Guldin Rules; 1.13 Dihedral Angles and Platonic Solids; 1.14 Spherical Trigonometry; 1.15 Canonical Surfaces; 1.16 Parametric Curves in Space; 1.17 Multidimensional Vectors; Chapter 2; 2.1 Some Topology; 2.2 Multivariable Functions; 2.3 Limits and Continuity; 2.4 Definition of the Derivative; 2.5 The Jacobi Matrix; 2.6 Gradients and Directional Derivatives; 2.7 Levi-Civita and Einstein. 2.8 Extrema. Includes bibliographical references and index. Vector analysis. http://id.loc.gov/authorities/subjects/sh85142449 Analyse vectorielle. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Vector analysis fast Musa, Sarhan M. has work: Multivariable and vector calculus (Text) https://id.oclc.org/worldcat/entity/E39PCGryxRXThtKM8wHBCWQXV3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Santos, David A. Multivariable and Vector Calculus : An Introduction. Bloomfield : Mercury Learning & Information, ©2015 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1809114 Volltext |
| spellingShingle | Santos, David A. Multivariable and Vector Calculus : an Introduction. Title Page; Copyright; Dedication; Contents; Preface; Acknowledgments; Chapter 1: Vectors and Parametric Curves; 1.1 Points and Vectors on the Plane; 1.2 Scalar Product on the Plane; 1.3 Linear Independence; 1.4 Geometric Transformations in Two Dimensions; 1.5 Determinants in Two Dimensions; 1.6 Parametric Curves on the Plane; 1.7 Vectors in Space; 1.8 Cross Product; 1.9 Matrices in Three Dimensions; 1.10 Determinants in Three Dimensions; 1.11 Some Solid Geometry; 1.12 Cavalieri and the Pappus-Guldin Rules; 1.13 Dihedral Angles and Platonic Solids; 1.14 Spherical Trigonometry. 1.15 Canonical Surfaces1.16 Parametric Curves in Space; 1.17 Multidimensional Vectors; Chapter 2: Differentiation; 2.1 Some Topology; 2.2 Multivariable Functions; 2.3 Limits and Continuity; 2.4 Definition of the Derivative; 2.5 The Jacobi Matrix; 2.6 Gradients and Directional Derivatives; 2.7 Levi-Civita and Einstein; 2.8 Extrema; 2.9 Lagrange Multipliers; Chapter 3: Integration; 3.1 Differential Forms; 3.2 Zero-Manifolds; 3.3 One-Manifolds; 3.4 Closed and Exact Forms; 3.5 Two-Manifolds; 3.6 Change of Variables in Double Integrals; 3.7 Change to Polar Coordinates; 3.8 Three-Manifolds. 3.9 Change of Variables in Triple Integrals3.10 Surface Integrals; 3.11 Green's, Stokes', and Gauss' Theorems; Appendix A: Maple; A.1 Getting Started and Windows of Maple; A.2 Arithmetic; A.3 Symbolic Computation; A.4 Assignments; A.5 Working with Output; A.6 Solving Equations; A.7 Plots with Maple; A.8 Limits and Derivatives; A.9 Integration; A.10 Matrix; Appendix B: MATLAB; B.1 Getting Started and Windows of MATLAB; B.1.1 Using MATLAB in Calculations; B.2 Plotting; B.2.1 Two-dimensional Plotting; B.2.2 Three-Dimensional Plotting; B.3 Programming in MATLAB; B.3.1 For Loops; B.3.2 While Loops. B.3.3 If, Else, and ElseifB. 3.4 Switch; B.4 Symbolic Computation; B.4.1 Simplifying Symbolic Expressions; B.4.2 Differentiating Symbolic Expressions; B.4.3 Integrating Symbolic Expressions; B.4.4 Limits Symbolic Expressions; B.4.5 Taylor Series Symbolic Expressions; B.4.6 Sums Symbolic Expressions; B.4.7 Solving Equations as Symbolic Expressions; Appendix C: Answers TO ODD-Numbered Exercises; Chapter 1; 1.1 Points and Vectors on the Plane; 1.2 Scalar Product on the Plane; 1.3 Linear Independence; 1.4 Geometric Transformations in Two Dimensions; 1.5 Determinants in Two Dimensions. 1.6 Parametric Curves on the Plane1.7 Vectors in Space; 1.8 Cross Product; 1.9 Matrices in Three Dimensions; 1.10 Determinants in Three Dimensions; 1.11 Some Solid Geometry; 1.12 Cavalieri and the Pappus-Guldin Rules; 1.13 Dihedral Angles and Platonic Solids; 1.14 Spherical Trigonometry; 1.15 Canonical Surfaces; 1.16 Parametric Curves in Space; 1.17 Multidimensional Vectors; Chapter 2; 2.1 Some Topology; 2.2 Multivariable Functions; 2.3 Limits and Continuity; 2.4 Definition of the Derivative; 2.5 The Jacobi Matrix; 2.6 Gradients and Directional Derivatives; 2.7 Levi-Civita and Einstein. Vector analysis. http://id.loc.gov/authorities/subjects/sh85142449 Analyse vectorielle. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Vector analysis fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85142449 |
| title | Multivariable and Vector Calculus : an Introduction. |
| title_auth | Multivariable and Vector Calculus : an Introduction. |
| title_exact_search | Multivariable and Vector Calculus : an Introduction. |
| title_full | Multivariable and Vector Calculus : an Introduction. |
| title_fullStr | Multivariable and Vector Calculus : an Introduction. |
| title_full_unstemmed | Multivariable and Vector Calculus : an Introduction. |
| title_short | Multivariable and Vector Calculus : |
| title_sort | multivariable and vector calculus an introduction |
| title_sub | an Introduction. |
| topic | Vector analysis. http://id.loc.gov/authorities/subjects/sh85142449 Analyse vectorielle. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Vector analysis fast |
| topic_facet | Vector analysis. Analyse vectorielle. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Vector analysis |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1809114 |
| work_keys_str_mv | AT santosdavida multivariableandvectorcalculusanintroduction AT musasarhanm multivariableandvectorcalculusanintroduction |