Mathematical modeling in science and engineering: an axiomatic approach
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Hoboken, NJ
Wiley
2012
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | "Mathematical and computational modeling (MCM) can be used in a diverse set of applications making it a very appealing and potent modeling tool. This book uses a novel and powerful procedural approach to teaching MCM, the Axiomatic Approach, which permits incorporating in a single model, systems that occur in many different branches of science and engineering.This book focuses on the mathematical models, in which processes to be modeled are expressed as a system of partial differential equations. It introduces a systematic method for constructing such models, which can be applied to any macroscopic physical system. This latter feature of the Axiomatic Approach is very valuable when treating new systems, since it permits formulating the models of previously unknown systems. Using it, many of the systems of most common occurrence in engineering practice are introduced and discussed. The effectiveness of this approach is reflected in the broadness and importance of the subjects treated; they cover a great diversity of topics that are basic in many branches of engineering including: Civil Engineering, Mechanical Engineering, Petroleum Engineering, and Water Resources.These topics include: Flow of fluids and transport of solutes which are free to move in the physical space and where fluids may be restricted to move in a porous medium. The transport of solutes is fundamental in Environmental Engineering Water Resources and Petroleum Engineering since it is the means of predicting contaminant behavior. The porous medium based equations are also used to model Enhanced Oil Recovery which is very important for sustaining the oil supply of the world. Model of static and dynamic elasticity are used in several branches of engineering including Foundation and Seismic Engineering"--Provided by publisher "This book uses a novel and powerful procedural approach to teaching MCM, the Axiomatic Approach, which permits incorporating in a single model, systems that occur in many different branches of science and engineering"--Provided by publisher |
| Physical Description: | 1 Online-Ressource |
| ISBN: | 9781118207239 9781118207208 9781118087572 |
Staff View
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| 500 | |a "This book uses a novel and powerful procedural approach to teaching MCM, the Axiomatic Approach, which permits incorporating in a single model, systems that occur in many different branches of science and engineering"--Provided by publisher | ||
| 505 | 0 | |a Front Matter -- Axiomatic Formulation of the Basic Models -- Mechanics of Classical Continuous Systems -- Mechanics of Non-Classical Continuous Systems -- Solute Transport by a Free Fluid -- Flow of a Fluid in a Porous Medium -- Solute Transport in a Porous Medium -- Multiphase Systems -- Enhanced Oil Recovery -- Linear Elasticity -- Fluid Mechanics -- Appendix A: Partial Differential Equations -- Appendix B: Some Results from the Calculus -- Appendix C: Proof of Theorem -- Appendix D: The Boundary Layer Incompressibility Approximation -- Appendix E: Indicial Notation -- Index | |
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Record in the Search Index
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| author | Herrera Revilla, Ismael Pinder, George Francis 1942- |
| author_GND | (DE-588)1048463346 (DE-588)132464632 |
| author_facet | Herrera Revilla, Ismael Pinder, George Francis 1942- |
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| bvnumber | BV041828922 |
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| contents | Front Matter -- Axiomatic Formulation of the Basic Models -- Mechanics of Classical Continuous Systems -- Mechanics of Non-Classical Continuous Systems -- Solute Transport by a Free Fluid -- Flow of a Fluid in a Porous Medium -- Solute Transport in a Porous Medium -- Multiphase Systems -- Enhanced Oil Recovery -- Linear Elasticity -- Fluid Mechanics -- Appendix A: Partial Differential Equations -- Appendix B: Some Results from the Calculus -- Appendix C: Proof of Theorem -- Appendix D: The Boundary Layer Incompressibility Approximation -- Appendix E: Indicial Notation -- Index |
| ctrlnum | (OCoLC)784136580 (DE-599)BVBBV041828922 |
| dewey-full | 501/.51 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 501 - Philosophy and theory |
| dewey-raw | 501/.51 |
| dewey-search | 501/.51 |
| dewey-sort | 3501 251 |
| dewey-tens | 500 - Natural sciences and mathematics |
| discipline | Allgemeine Naturwissenschaft |
| format | Electronic eBook |
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| spelling | Herrera Revilla, Ismael Verfasser (DE-588)1048463346 aut Mathematical modeling in science and engineering an axiomatic approach Ismael Herrera ; George F. Pinder Hoboken, NJ Wiley 2012 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier "Mathematical and computational modeling (MCM) can be used in a diverse set of applications making it a very appealing and potent modeling tool. This book uses a novel and powerful procedural approach to teaching MCM, the Axiomatic Approach, which permits incorporating in a single model, systems that occur in many different branches of science and engineering.This book focuses on the mathematical models, in which processes to be modeled are expressed as a system of partial differential equations. It introduces a systematic method for constructing such models, which can be applied to any macroscopic physical system. This latter feature of the Axiomatic Approach is very valuable when treating new systems, since it permits formulating the models of previously unknown systems. Using it, many of the systems of most common occurrence in engineering practice are introduced and discussed. The effectiveness of this approach is reflected in the broadness and importance of the subjects treated; they cover a great diversity of topics that are basic in many branches of engineering including: Civil Engineering, Mechanical Engineering, Petroleum Engineering, and Water Resources.These topics include: Flow of fluids and transport of solutes which are free to move in the physical space and where fluids may be restricted to move in a porous medium. The transport of solutes is fundamental in Environmental Engineering Water Resources and Petroleum Engineering since it is the means of predicting contaminant behavior. The porous medium based equations are also used to model Enhanced Oil Recovery which is very important for sustaining the oil supply of the world. Model of static and dynamic elasticity are used in several branches of engineering including Foundation and Seismic Engineering"--Provided by publisher "This book uses a novel and powerful procedural approach to teaching MCM, the Axiomatic Approach, which permits incorporating in a single model, systems that occur in many different branches of science and engineering"--Provided by publisher Front Matter -- Axiomatic Formulation of the Basic Models -- Mechanics of Classical Continuous Systems -- Mechanics of Non-Classical Continuous Systems -- Solute Transport by a Free Fluid -- Flow of a Fluid in a Porous Medium -- Solute Transport in a Porous Medium -- Multiphase Systems -- Enhanced Oil Recovery -- Linear Elasticity -- Fluid Mechanics -- Appendix A: Partial Differential Equations -- Appendix B: Some Results from the Calculus -- Appendix C: Proof of Theorem -- Appendix D: The Boundary Layer Incompressibility Approximation -- Appendix E: Indicial Notation -- Index TECHNOLOGY & ENGINEERING / Engineering (General) bisacsh Ingenieurwissenschaften Mathematisches Modell Naturwissenschaft System analysis / Mathematical models Science / Mathematical models Engineering / Mathematical models Mathematische Modellierung (DE-588)7651795-0 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Mathematische Modellierung (DE-588)7651795-0 s DE-604 Pinder, George Francis 1942- Verfasser (DE-588)132464632 aut https://onlinelibrary.wiley.com/doi/book/10.1002/9781118207239 Verlag Volltext |
| spellingShingle | Herrera Revilla, Ismael Pinder, George Francis 1942- Mathematical modeling in science and engineering an axiomatic approach Front Matter -- Axiomatic Formulation of the Basic Models -- Mechanics of Classical Continuous Systems -- Mechanics of Non-Classical Continuous Systems -- Solute Transport by a Free Fluid -- Flow of a Fluid in a Porous Medium -- Solute Transport in a Porous Medium -- Multiphase Systems -- Enhanced Oil Recovery -- Linear Elasticity -- Fluid Mechanics -- Appendix A: Partial Differential Equations -- Appendix B: Some Results from the Calculus -- Appendix C: Proof of Theorem -- Appendix D: The Boundary Layer Incompressibility Approximation -- Appendix E: Indicial Notation -- Index TECHNOLOGY & ENGINEERING / Engineering (General) bisacsh Ingenieurwissenschaften Mathematisches Modell Naturwissenschaft System analysis / Mathematical models Science / Mathematical models Engineering / Mathematical models Mathematische Modellierung (DE-588)7651795-0 gnd |
| subject_GND | (DE-588)7651795-0 (DE-588)4123623-3 |
| title | Mathematical modeling in science and engineering an axiomatic approach |
| title_auth | Mathematical modeling in science and engineering an axiomatic approach |
| title_exact_search | Mathematical modeling in science and engineering an axiomatic approach |
| title_full | Mathematical modeling in science and engineering an axiomatic approach Ismael Herrera ; George F. Pinder |
| title_fullStr | Mathematical modeling in science and engineering an axiomatic approach Ismael Herrera ; George F. Pinder |
| title_full_unstemmed | Mathematical modeling in science and engineering an axiomatic approach Ismael Herrera ; George F. Pinder |
| title_short | Mathematical modeling in science and engineering |
| title_sort | mathematical modeling in science and engineering an axiomatic approach |
| title_sub | an axiomatic approach |
| topic | TECHNOLOGY & ENGINEERING / Engineering (General) bisacsh Ingenieurwissenschaften Mathematisches Modell Naturwissenschaft System analysis / Mathematical models Science / Mathematical models Engineering / Mathematical models Mathematische Modellierung (DE-588)7651795-0 gnd |
| topic_facet | TECHNOLOGY & ENGINEERING / Engineering (General) Ingenieurwissenschaften Mathematisches Modell Naturwissenschaft System analysis / Mathematical models Science / Mathematical models Engineering / Mathematical models Mathematische Modellierung Lehrbuch |
| url | https://onlinelibrary.wiley.com/doi/book/10.1002/9781118207239 |
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