000 03175nam a22004695i 4500
001 978-0-387-87765-5
003 DE-He213
005 20251006084427.0
007 cr nn 008mamaa
008 100301s2009 xxu| s |||| 0|eng d
020 _a9780387877655
020 _a99780387877655
024 7 _a10.1007/978-0-387-87765-5
_2doi
082 0 4 _a003.3
_223
100 1 _aHolmes, Mark H.
_eauthor.
245 1 0 _aIntroduction to the Foundations of Applied Mathematics
_h[electronic resource] /
_cby Mark H. Holmes.
264 1 _aNew York, NY :
_bSpringer New York,
_c2009.
300 _aXIV, 468p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aTexts in Applied Mathematics,
_x0939-2475 ;
_v56
505 0 _aDimensional Analysis -- Perturbation Methods -- Kinetics -- Diffusion -- Traffic Flow -- Continuum Mechanics: One Spatial Dimension -- Elastic and Viscoelastic Materials -- Continuum Mechanics: Three Spatial Dimensions -- Fluids.
520 _aThe objective of this textbook is the construction, analysis, and interpretation of mathematical models to help us understand the world we live in. Rather than follow a case study approach it develops the mathematical and physical ideas that are fundamental in understanding contemporary problems in science and engineering. Science evolves, and this means that the problems of current interest continually change. What does not change as quickly is the approach used to derive the relevant mathematical models, and the methods used to analyze the models. Consequently, this book is written in such a way as to establish the mathematical ideas underlying model development independently of a specific application. This does not mean applications are not considered, they are, and connections with experiment are a staple of this book. The book, as well as the individual chapters, is written in such a way that the material becomes more sophisticated as you progress. This provides some flexibility in how the book is used, allowing consideration for the breadth and depth of the material covered. Moreover, there are a wide spectrum of exercises and detailed illustrations that significantly enrich the material. Students and researchers interested in mathematical modelling in mathematics, physics, engineering and the applied sciences will find this text useful.
650 0 _aMATHEMATICS.
650 0 _aMATHEMATICAL PHYSICS.
650 0 _aMECHANICS.
650 1 4 _aMATHEMATICS.
650 2 4 _aMATHEMATICAL MODELING AND INDUSTRIAL MATHEMATICS.
650 2 4 _aMECHANICS.
650 2 4 _aMATHEMATICAL METHODS IN PHYSICS.
650 2 4 _aMATHEMATICS, GENERAL.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387877495
830 0 _aTexts in Applied Mathematics,
_x0939-2475 ;
_v56
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-387-87765-5
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-SMA
942 _2ddc
_cER
999 _c59340
_d59340