Practical applied mathematics : modelling, analysis, approximation / Sam Howison.
"Dozens of applications are used to show that applied mathematics is much more than a series of academic calculations. Mathematical topics covered include distributions, ordinary and partial differential equations, and asymptotic methods as well as basics of modelling. The range of applications...
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Online Access: |
Full Text (via Cambridge) |
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Main Author: | |
Format: | Electronic eBook |
Language: | English |
Published: |
New York :
Cambridge University Press,
2005.
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Series: | Cambridge texts in applied mathematics.
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Subjects: |
MARC
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100 | 1 | |a Howison, Sam. | |
245 | 1 | 0 | |a Practical applied mathematics : |b modelling, analysis, approximation / |c Sam Howison. |
260 | |a New York : |b Cambridge University Press, |c 2005. | ||
300 | |a 1 online resource (xiv, 326 pages) : |b illustrations | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
490 | 1 | |a Cambridge texts in applied mathematics | |
504 | |a Includes bibliographical references (pages 318-320) and index. | ||
505 | 0 | |a The basics of modelling -- Units, dimensions and dimensional analysis -- Nondimensionalisation -- Case studies: hair modelling and cable laying -- Case study: the thermistor (1) -- Case study: electrostatic painting (1) -- Partial differential equations -- Case study: traffic modelling -- The delta function and other distributions -- Theory of distributions -- Case study: the pantograph -- Asymptotic expansions -- Regular perturbation expansions -- Case study: electrostatic painting (2) -- Case study: piano tuning -- Boundary layers -- Case study: the thermistor (2) -- 'Lubrication theory' analysis in long thin domains -- Case study: continuous casting of steel -- Lubrication theory for fluids -- Case study: turning of eggs during incubation -- Multiple scales and other methods for nonlinear oscillators -- Ray theory and the WKB method. | |
520 | 1 | |a "Dozens of applications are used to show that applied mathematics is much more than a series of academic calculations. Mathematical topics covered include distributions, ordinary and partial differential equations, and asymptotic methods as well as basics of modelling. The range of applications is similarly varied, from the modelling of hair to piano tuning, egg incubation and traffic flow. The style is informal but not superficial. In addition, the text is supplemented by a large number of exercises and sideline discussions, assisting the reader's grasp of the material." "Used either in the classroom by upper-undergraduate students, or as extra reading for any applied mathematician, this book illustrates how the reader's knowledge can be used to describe the world around them."--Jacket. | |
588 | 0 | |a Print version record. | |
546 | |a English. | ||
650 | 0 | |a Differential equations. | |
650 | 0 | |a Differential equations, Partial. | |
650 | 0 | |a Mathematical physics. | |
650 | 7 | |a Differential equations. |2 fast |0 (OCoLC)fst00893446 | |
650 | 7 | |a Differential equations, Partial. |2 fast |0 (OCoLC)fst00893484 | |
650 | 7 | |a Mathematical physics. |2 fast |0 (OCoLC)fst01012104 | |
776 | 0 | 8 | |i Print version: |a Howison, Sam. |t Practical applied mathematics. |d New York : Cambridge University Press, 2005 |z 0521842743 |w (DLC) 2004057547 |w (OCoLC)56491013 |
830 | 0 | |a Cambridge texts in applied mathematics. | |
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