Excel in Complex Variables :: with the Complex Variable Boundary Element Method /
Using the familiar software Microsoft ® Excel, this book examines the applications of complex variables. Implementation in Excel eliminates the ""black box"" nature of more advanced computer software and programming languages and therefore the reader has the chance to become more...
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| Weitere Verfasser: | , |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Southampton : Billerica, MA :
WIT Press, Computational Mechanics International Inc.,
2021 ; [2021]
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Using the familiar software Microsoft ® Excel, this book examines the applications of complex variables. Implementation in Excel eliminates the ""black box"" nature of more advanced computer software and programming languages and therefore the reader has the chance to become more familiar with the underlying mathematics of the included problems. |
| Beschreibung: | 1 online resource (1 volume) |
| ISBN: | 9781784664527 1784664529 |
Internformat
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| 245 | 0 | 0 | |a Excel in Complex Variables : |b with the Complex Variable Boundary Element Method / |c edited by Bryce D. Wilkins & Theodore V. Hromadka II. |
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| 505 | 0 | |a Cover -- Excel in Complex Variables -- Copyright Page -- About the Authors -- Contents -- I. Introduction to complex variables -- 1. Complex numbers -- 1.1. Arithmetic operations -- 1.2. Algebraic properties -- 1.3. Geometric interpretation -- 2. Functions of a complex variable -- 2.1. Visualizing complex variable functions -- 2.2. Linear transformations and mappings -- 2.3. Analytic functions -- 2.4. Taylor series representation -- 2.5. Complex functions -- 3. Contour integration -- 3.1. Open contour -- 3.2. Simple, closed contour -- 3.3. The Cauchy integral formula | |
| 505 | 8 | |a II. The complex variable boundary element method and Excel -- 4. Foundations of the CVBEM -- 4.1. Analytic solutions of Laplace's equation and related PDEs -- 4.2. Introduction to the CVBEM -- 4.3. CVBEM basis functions -- 4.4. Numerical implementation of the CVBEM -- 4.5. Computational error estimation -- 5. CVBEM implementation in Excel -- 5.1. Implementation -- 5.2. Potential flow in a 90-degree bend -- 5.3. Potential flow over a cylindrical obstacle -- Bibliography -- List of figures -- List of tables -- Index | |
| 520 | |a Using the familiar software Microsoft ® Excel, this book examines the applications of complex variables. Implementation in Excel eliminates the ""black box"" nature of more advanced computer software and programming languages and therefore the reader has the chance to become more familiar with the underlying mathematics of the included problems. | ||
| 588 | 0 | |a Online resource; title from digital title page (viewed on April 26, 2022). | |
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| 650 | 0 | |a Boundary element methods |x Data processing. | |
| 650 | 0 | |a Functions of complex variables. |0 http://id.loc.gov/authorities/subjects/sh85052356 | |
| 650 | 6 | |a Méthodes des équations intégrales de frontière |x Informatique. | |
| 650 | 6 | |a Fonctions d'une variable complexe. | |
| 650 | 7 | |a Boundary element methods |2 fast | |
| 650 | 7 | |a Functions of complex variables |2 fast | |
| 700 | 1 | |a Wilkins, Bryce D., |e editor. | |
| 700 | 1 | |a Hromadka, Theodore V., |e editor. | |
| 776 | 0 | 8 | |i Print version: |a Wilkins, B.D. |t Excel in Complex Variables with the Complex Variable Boundary Element Method. |d Southampton : WIT Press, ©2021 |z 9781784664510 |
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| contents | Cover -- Excel in Complex Variables -- Copyright Page -- About the Authors -- Contents -- I. Introduction to complex variables -- 1. Complex numbers -- 1.1. Arithmetic operations -- 1.2. Algebraic properties -- 1.3. Geometric interpretation -- 2. Functions of a complex variable -- 2.1. Visualizing complex variable functions -- 2.2. Linear transformations and mappings -- 2.3. Analytic functions -- 2.4. Taylor series representation -- 2.5. Complex functions -- 3. Contour integration -- 3.1. Open contour -- 3.2. Simple, closed contour -- 3.3. The Cauchy integral formula II. The complex variable boundary element method and Excel -- 4. Foundations of the CVBEM -- 4.1. Analytic solutions of Laplace's equation and related PDEs -- 4.2. Introduction to the CVBEM -- 4.3. CVBEM basis functions -- 4.4. Numerical implementation of the CVBEM -- 4.5. Computational error estimation -- 5. CVBEM implementation in Excel -- 5.1. Implementation -- 5.2. Potential flow in a 90-degree bend -- 5.3. Potential flow over a cylindrical obstacle -- Bibliography -- List of figures -- List of tables -- Index |
| ctrlnum | (OCoLC)1276856765 |
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| spelling | Excel in Complex Variables : with the Complex Variable Boundary Element Method / edited by Bryce D. Wilkins & Theodore V. Hromadka II. Southampton : WIT Press, 2021 ; Billerica, MA : Computational Mechanics International Inc., [2021] 1 online resource (1 volume) text txt rdacontent computer c rdamedia online resource cr rdacarrier Cover -- Excel in Complex Variables -- Copyright Page -- About the Authors -- Contents -- I. Introduction to complex variables -- 1. Complex numbers -- 1.1. Arithmetic operations -- 1.2. Algebraic properties -- 1.3. Geometric interpretation -- 2. Functions of a complex variable -- 2.1. Visualizing complex variable functions -- 2.2. Linear transformations and mappings -- 2.3. Analytic functions -- 2.4. Taylor series representation -- 2.5. Complex functions -- 3. Contour integration -- 3.1. Open contour -- 3.2. Simple, closed contour -- 3.3. The Cauchy integral formula II. The complex variable boundary element method and Excel -- 4. Foundations of the CVBEM -- 4.1. Analytic solutions of Laplace's equation and related PDEs -- 4.2. Introduction to the CVBEM -- 4.3. CVBEM basis functions -- 4.4. Numerical implementation of the CVBEM -- 4.5. Computational error estimation -- 5. CVBEM implementation in Excel -- 5.1. Implementation -- 5.2. Potential flow in a 90-degree bend -- 5.3. Potential flow over a cylindrical obstacle -- Bibliography -- List of figures -- List of tables -- Index Using the familiar software Microsoft ® Excel, this book examines the applications of complex variables. Implementation in Excel eliminates the ""black box"" nature of more advanced computer software and programming languages and therefore the reader has the chance to become more familiar with the underlying mathematics of the included problems. Online resource; title from digital title page (viewed on April 26, 2022). Microsoft Excel (Computer file) http://id.loc.gov/authorities/names/n86025775 Microsoft Excel (Computer file) fast Boundary element methods Data processing. Functions of complex variables. http://id.loc.gov/authorities/subjects/sh85052356 Méthodes des équations intégrales de frontière Informatique. Fonctions d'une variable complexe. Boundary element methods fast Functions of complex variables fast Wilkins, Bryce D., editor. Hromadka, Theodore V., editor. Print version: Wilkins, B.D. Excel in Complex Variables with the Complex Variable Boundary Element Method. Southampton : WIT Press, ©2021 9781784664510 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=3059268 Volltext |
| spellingShingle | Excel in Complex Variables : with the Complex Variable Boundary Element Method / Cover -- Excel in Complex Variables -- Copyright Page -- About the Authors -- Contents -- I. Introduction to complex variables -- 1. Complex numbers -- 1.1. Arithmetic operations -- 1.2. Algebraic properties -- 1.3. Geometric interpretation -- 2. Functions of a complex variable -- 2.1. Visualizing complex variable functions -- 2.2. Linear transformations and mappings -- 2.3. Analytic functions -- 2.4. Taylor series representation -- 2.5. Complex functions -- 3. Contour integration -- 3.1. Open contour -- 3.2. Simple, closed contour -- 3.3. The Cauchy integral formula II. The complex variable boundary element method and Excel -- 4. Foundations of the CVBEM -- 4.1. Analytic solutions of Laplace's equation and related PDEs -- 4.2. Introduction to the CVBEM -- 4.3. CVBEM basis functions -- 4.4. Numerical implementation of the CVBEM -- 4.5. Computational error estimation -- 5. CVBEM implementation in Excel -- 5.1. Implementation -- 5.2. Potential flow in a 90-degree bend -- 5.3. Potential flow over a cylindrical obstacle -- Bibliography -- List of figures -- List of tables -- Index Microsoft Excel (Computer file) http://id.loc.gov/authorities/names/n86025775 Microsoft Excel (Computer file) fast Boundary element methods Data processing. Functions of complex variables. http://id.loc.gov/authorities/subjects/sh85052356 Méthodes des équations intégrales de frontière Informatique. Fonctions d'une variable complexe. Boundary element methods fast Functions of complex variables fast |
| subject_GND | http://id.loc.gov/authorities/names/n86025775 http://id.loc.gov/authorities/subjects/sh85052356 |
| title | Excel in Complex Variables : with the Complex Variable Boundary Element Method / |
| title_auth | Excel in Complex Variables : with the Complex Variable Boundary Element Method / |
| title_exact_search | Excel in Complex Variables : with the Complex Variable Boundary Element Method / |
| title_full | Excel in Complex Variables : with the Complex Variable Boundary Element Method / edited by Bryce D. Wilkins & Theodore V. Hromadka II. |
| title_fullStr | Excel in Complex Variables : with the Complex Variable Boundary Element Method / edited by Bryce D. Wilkins & Theodore V. Hromadka II. |
| title_full_unstemmed | Excel in Complex Variables : with the Complex Variable Boundary Element Method / edited by Bryce D. Wilkins & Theodore V. Hromadka II. |
| title_short | Excel in Complex Variables : |
| title_sort | excel in complex variables with the complex variable boundary element method |
| title_sub | with the Complex Variable Boundary Element Method / |
| topic | Microsoft Excel (Computer file) http://id.loc.gov/authorities/names/n86025775 Microsoft Excel (Computer file) fast Boundary element methods Data processing. Functions of complex variables. http://id.loc.gov/authorities/subjects/sh85052356 Méthodes des équations intégrales de frontière Informatique. Fonctions d'une variable complexe. Boundary element methods fast Functions of complex variables fast |
| topic_facet | Microsoft Excel (Computer file) Boundary element methods Data processing. Functions of complex variables. Méthodes des équations intégrales de frontière Informatique. Fonctions d'une variable complexe. Boundary element methods Functions of complex variables |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=3059268 |
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