Introduction to computer simulations for integrated STEM college education:
"This book is written to introduce computer simulations to undergraduate college students, freshmen to seniors, in STEM fields. The book starts with concepts from Basic Mathematics: Geometry, Algebra and Calculus, Properties of Elementary Functions (Polynomials, Exponential, Hyperbolic and Trig...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
2019
|
| Schlagworte: | |
| Online-Zugang: | UBY01 URL des Erstveröffentlichers |
| Zusammenfassung: | "This book is written to introduce computer simulations to undergraduate college students, freshmen to seniors, in STEM fields. The book starts with concepts from Basic Mathematics: Geometry, Algebra and Calculus, Properties of Elementary Functions (Polynomials, Exponential, Hyperbolic and Trigonometric Functions) are studied and simple differential equations representing these functions are derived. Numerical approximations of first and second order differential equations are studied in terms of finite differences on uniform grids. Computer solutions are obtained via recursive relations or solutions of simultaneous algebraic equations. Comparisons with the exact solutions (known a priori) allow the calculations of the error due to discretization. After the students build confidence in this approach, more problems where the solutions are not known a priori are tackled with applications in many fields. Next, the book gradually addresses linear differential equations with variable coefficients and nonlinear differential equations, including problems of bifurcation and chaos. Applications in Dynamics, Solid Mechanics, Fluid Mechanics, Heat Transfer, Chemical Reactions, and Combustion are included. Biographies of 50 pioneering mathematicians and scientists who contributed to the materials of the book are briefly sketched, to shed light on the history of these STEM fields. Finally, the main concepts discussed in the book, are summarized to make sure that the students do not miss any of them. Also, references for further readings are given for interested readers."-- |
| Beschreibung: | Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader |
| Beschreibung: | 1 online resource (236 pages) |
| ISBN: | 9789811209918 |
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Datensatz im Suchindex
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| id | DE-604.BV046808028 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T14:58:07Z |
| indexdate | 2024-07-10T08:54:24Z |
| institution | BVB |
| isbn | 9789811209918 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032216641 |
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| physical | 1 online resource (236 pages) |
| psigel | ZDB-124-WOP |
| publishDate | 2019 |
| publishDateSearch | 2019 |
| publishDateSort | 2019 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Hafez, M. M. Verfasser aut Introduction to computer simulations for integrated STEM college education Mohamed M. Hafez, William E. Tavernetti Singapore World Scientific 2019 1 online resource (236 pages) txt rdacontent c rdamedia cr rdacarrier Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader Includes bibliographical references and index "This book is written to introduce computer simulations to undergraduate college students, freshmen to seniors, in STEM fields. The book starts with concepts from Basic Mathematics: Geometry, Algebra and Calculus, Properties of Elementary Functions (Polynomials, Exponential, Hyperbolic and Trigonometric Functions) are studied and simple differential equations representing these functions are derived. Numerical approximations of first and second order differential equations are studied in terms of finite differences on uniform grids. Computer solutions are obtained via recursive relations or solutions of simultaneous algebraic equations. Comparisons with the exact solutions (known a priori) allow the calculations of the error due to discretization. After the students build confidence in this approach, more problems where the solutions are not known a priori are tackled with applications in many fields. Next, the book gradually addresses linear differential equations with variable coefficients and nonlinear differential equations, including problems of bifurcation and chaos. Applications in Dynamics, Solid Mechanics, Fluid Mechanics, Heat Transfer, Chemical Reactions, and Combustion are included. Biographies of 50 pioneering mathematicians and scientists who contributed to the materials of the book are briefly sketched, to shed light on the history of these STEM fields. Finally, the main concepts discussed in the book, are summarized to make sure that the students do not miss any of them. Also, references for further readings are given for interested readers."-- Computer simulation Electronic books Tavernetti, William Edward Sonstige oth Erscheint auch als Druck-Ausgabe 9789811209901 Erscheint auch als Druck-Ausgabe 9789811210761 https://www.worldscientific.com/worldscibooks/10.1142/11542 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Hafez, M. M. Introduction to computer simulations for integrated STEM college education Includes bibliographical references and index Computer simulation |
| title | Introduction to computer simulations for integrated STEM college education |
| title_auth | Introduction to computer simulations for integrated STEM college education |
| title_exact_search | Introduction to computer simulations for integrated STEM college education |
| title_exact_search_txtP | Introduction to computer simulations for integrated STEM college education |
| title_full | Introduction to computer simulations for integrated STEM college education Mohamed M. Hafez, William E. Tavernetti |
| title_fullStr | Introduction to computer simulations for integrated STEM college education Mohamed M. Hafez, William E. Tavernetti |
| title_full_unstemmed | Introduction to computer simulations for integrated STEM college education Mohamed M. Hafez, William E. Tavernetti |
| title_short | Introduction to computer simulations for integrated STEM college education |
| title_sort | introduction to computer simulations for integrated stem college education |
| topic | Computer simulation |
| topic_facet | Computer simulation |
| url | https://www.worldscientific.com/worldscibooks/10.1142/11542 |
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