Comprehensive Applied Mathematical Modeling in the Natural and Engineering Sciences Theoretical Predictions Compared with Data /

This text demonstrates the process of comprehensive applied mathematical modeling through the introduction of various case studies. The case studies are arranged in increasing order of complexity based on the mathematical methods required to analyze the models. The development of these methods is al...

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Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Wollkind, David J. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Dichone, Bonni J. (http://id.loc.gov/vocabulary/relators/aut)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
Έκδοση:1st ed. 2017.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Wollkind, David J.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Comprehensive Applied Mathematical Modeling in the Natural and Engineering Sciences  |h [electronic resource] :  |b Theoretical Predictions Compared with Data /  |c by David J. Wollkind, Bonni J. Dichone. 
250 |a 1st ed. 2017. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2017. 
300 |a XXI, 607 p. 134 illus., 16 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
505 0 |a Introduction -- Part I -- Canonical Projectile Problem: Finding the Escape Velocity of the Earth -- Of Mites and Models -- Canonical Soap Film Problem -- Heat Conduction in a Finite Bar with a Linear Source -- Heat Conduction in a Semi-Infinite Bar -- Initiation of Cellular Slime Mold Aggregation Viewed as an Instability -- Chemical Turning Patterns and Diffusive Instabilities -- Part II -- Governing Equations of Fluid Mechanics -- Boundary Conditions for Fluid Mechanics -- Subsonic Sound Waves Viewed as a Linear Perturbation in an Inviscid Fluid -- Potential Flow Past a Circular Cylinder of a Homogeneous Inviscid Fluid -- Viscous Fluid Flows -- Blasius Flow Past a Flat Plate -- Part III -- Rayleigh-Bernard Natural Convection Problem -- Heat Conduction in a Finite Bar with a Nonlinear Source -- Nonlinear Optical Ring-Cavity Model Driven by a Gas Laser -- Vegetative Flat Dryland Rhombic Pattern Formation Driven by Root Suction -- Part IV -- Calculus Variations Revisited plus the Gamma and Bessel Functions -- Alternate Methods of Solution for Heat and Wave Equation Problems -- Finite Mathematical Models -- Concluding Capstone Problems. 
520 |a This text demonstrates the process of comprehensive applied mathematical modeling through the introduction of various case studies. The case studies are arranged in increasing order of complexity based on the mathematical methods required to analyze the models. The development of these methods is also included, providing a self-contained presentation. To reinforce and supplement the material introduced, original problem sets are offered involving case studies closely related to the ones presented. With this style, the text's perspective, scope, and completeness of the subject matter are considered unique. Having grown out of four self-contained courses taught by the authors, this text will be of use in a two-semester sequence for advanced undergraduate and beginning graduate students, requiring rudimentary knowledge of advanced calculus and differential equations, along with a basic understanding of some simple physical and biological scientific principles. . 
650 0 |a Mathematical models. 
650 0 |a Biomathematics. 
650 0 |a Mathematical physics. 
650 1 4 |a Mathematical Modeling and Industrial Mathematics.  |0 http://scigraph.springernature.com/things/product-market-codes/M14068 
650 2 4 |a Mathematical and Computational Biology.  |0 http://scigraph.springernature.com/things/product-market-codes/M31000 
650 2 4 |a Mathematical Applications in the Physical Sciences.  |0 http://scigraph.springernature.com/things/product-market-codes/M13120 
700 1 |a Dichone, Bonni J.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783319735177 
776 0 8 |i Printed edition:  |z 9783319735191 
776 0 8 |i Printed edition:  |z 9783030088040 
856 4 0 |u https://doi.org/10.1007/978-3-319-73518-4  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)