Principles of mathematical modeling:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
Elsevier Academic Press
©2004
|
| Ausgabe: | 2nd ed. , Clive 1. Dym |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references and index What is mathematical modeling? -- Dimensional analysis -- Scale -- Approximating and validating models -- Traffic flow models -- Modeling free vibration -- Applying vibration models -- Optimization : what is the best--? Science and engineering students depend heavily on concepts of mathematical modeling. In an age where almost everything is done on a computer, author Clive Dym believes that students need to understand and "own" the underlying mathematics that computers are doing on their behalf. His goal for Principles of Mathematical Modeling, Second Edition, is to engage the student reader in developing a foundational understanding of the subject that will serve them well into their careers. The first half of the book begins with a clearly defined set of modeling principles, and then introduces a set of foundational tools including dimensional analysis, scaling techniques, and approximation and validation techniques. The second half demonstrates the latest applications for these tools to a broad variety of subjects, including exponential growth and decay in fields ranging from biology to economics, traffic flow, free and forced vibration of mechanical and other systems, and optimization problems in biology, structures, and social decision making. Prospective students should have already completed courses in elementary algebra, trigonometry, and first-year calculus and have some familiarity with differential equations and basic physics. * Serves as an introductory text on the development and application of mathematical models * Focuses on techniques of particular interest to engineers, scientists, and others who model continuous systems * Offers more than 360 problems, providing ample opportunities for practice * Covers a wide range of interdisciplinary topics--from engineering to economics to the sciences * Uses straightforward language and explanations that make modeling easy to understand and apply New to this Edition: * A more systematic approach to mathematical modeling, outlining ten specific principles * Expanded and reorganized chapters that flow in an increasing level of complexity * Several new problems and updated applications * Expanded figure captions that provide more information * Improved accessibility and flexibility for teaching |
| Beschreibung: | 1 Online-Ressource (xviii, 303 pages) |
| ISBN: | 0080470289 0122265513 9780080470283 9780122265518 |
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| 500 | |a Science and engineering students depend heavily on concepts of mathematical modeling. In an age where almost everything is done on a computer, author Clive Dym believes that students need to understand and "own" the underlying mathematics that computers are doing on their behalf. His goal for Principles of Mathematical Modeling, Second Edition, is to engage the student reader in developing a foundational understanding of the subject that will serve them well into their careers. The first half of the book begins with a clearly defined set of modeling principles, and then introduces a set of foundational tools including dimensional analysis, scaling techniques, and approximation and validation techniques. | ||
| 500 | |a The second half demonstrates the latest applications for these tools to a broad variety of subjects, including exponential growth and decay in fields ranging from biology to economics, traffic flow, free and forced vibration of mechanical and other systems, and optimization problems in biology, structures, and social decision making. Prospective students should have already completed courses in elementary algebra, trigonometry, and first-year calculus and have some familiarity with differential equations and basic physics. | ||
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Datensatz im Suchindex
| _version_ | 1804175410971279360 |
|---|---|
| any_adam_object | |
| author | Dym, Clive L. |
| author_facet | Dym, Clive L. |
| author_role | aut |
| author_sort | Dym, Clive L. |
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| bvnumber | BV043044789 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)162572033 (DE-599)BVBBV043044789 |
| dewey-full | 511/.8 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.8 |
| dewey-search | 511/.8 |
| dewey-sort | 3511 18 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2nd ed. , Clive 1. Dym |
| format | Electronic eBook |
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| id | DE-604.BV043044789 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:15:51Z |
| institution | BVB |
| isbn | 0080470289 0122265513 9780080470283 9780122265518 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028469327 |
| oclc_num | 162572033 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 |
| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xviii, 303 pages) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2004 |
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| publisher | Elsevier Academic Press |
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| spelling | Dym, Clive L. Verfasser aut Principles of mathematical modeling 2nd ed. , Clive 1. Dym Amsterdam Elsevier Academic Press ©2004 1 Online-Ressource (xviii, 303 pages) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index What is mathematical modeling? -- Dimensional analysis -- Scale -- Approximating and validating models -- Traffic flow models -- Modeling free vibration -- Applying vibration models -- Optimization : what is the best--? Science and engineering students depend heavily on concepts of mathematical modeling. In an age where almost everything is done on a computer, author Clive Dym believes that students need to understand and "own" the underlying mathematics that computers are doing on their behalf. His goal for Principles of Mathematical Modeling, Second Edition, is to engage the student reader in developing a foundational understanding of the subject that will serve them well into their careers. The first half of the book begins with a clearly defined set of modeling principles, and then introduces a set of foundational tools including dimensional analysis, scaling techniques, and approximation and validation techniques. The second half demonstrates the latest applications for these tools to a broad variety of subjects, including exponential growth and decay in fields ranging from biology to economics, traffic flow, free and forced vibration of mechanical and other systems, and optimization problems in biology, structures, and social decision making. Prospective students should have already completed courses in elementary algebra, trigonometry, and first-year calculus and have some familiarity with differential equations and basic physics. * Serves as an introductory text on the development and application of mathematical models * Focuses on techniques of particular interest to engineers, scientists, and others who model continuous systems * Offers more than 360 problems, providing ample opportunities for practice * Covers a wide range of interdisciplinary topics--from engineering to economics to the sciences * Uses straightforward language and explanations that make modeling easy to understand and apply New to this Edition: * A more systematic approach to mathematical modeling, outlining ten specific principles * Expanded and reorganized chapters that flow in an increasing level of complexity * Several new problems and updated applications * Expanded figure captions that provide more information * Improved accessibility and flexibility for teaching Modèles mathématiques MATHEMATICS / General bisacsh Mathematical models fast Mathematisches Modell Mathematical models Mathematik (DE-588)4037944-9 gnd rswk-swf Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf Modellierung (DE-588)4170297-9 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Modellierung (DE-588)4170297-9 s Mathematik (DE-588)4037944-9 s 1\p DE-604 Mathematisches Modell (DE-588)4114528-8 s 2\p DE-604 Numerische Mathematik (DE-588)4042805-9 s 3\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=187191 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Dym, Clive L. Principles of mathematical modeling Modèles mathématiques MATHEMATICS / General bisacsh Mathematical models fast Mathematisches Modell Mathematical models Mathematik (DE-588)4037944-9 gnd Numerische Mathematik (DE-588)4042805-9 gnd Modellierung (DE-588)4170297-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4042805-9 (DE-588)4170297-9 (DE-588)4114528-8 |
| title | Principles of mathematical modeling |
| title_auth | Principles of mathematical modeling |
| title_exact_search | Principles of mathematical modeling |
| title_full | Principles of mathematical modeling |
| title_fullStr | Principles of mathematical modeling |
| title_full_unstemmed | Principles of mathematical modeling |
| title_short | Principles of mathematical modeling |
| title_sort | principles of mathematical modeling |
| topic | Modèles mathématiques MATHEMATICS / General bisacsh Mathematical models fast Mathematisches Modell Mathematical models Mathematik (DE-588)4037944-9 gnd Numerische Mathematik (DE-588)4042805-9 gnd Modellierung (DE-588)4170297-9 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Modèles mathématiques MATHEMATICS / General Mathematical models Mathematisches Modell Mathematik Numerische Mathematik Modellierung |
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