LEADER 04490nam 22005775 450 001 9910349331803321 005 20251116220226.0 010 $a3-030-24261-7 024 7 $a10.1007/978-3-030-24261-9 035 $a(CKB)4100000009382579 035 $a(DE-He213)978-3-030-24261-9 035 $a(MiAaPQ)EBC5925815 035 $a(PPN)25524195X 035 $a(EXLCZ)994100000009382579 100 $a20191001d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aIntroduction to the Foundations of Applied Mathematics /$fby Mark H. Holmes 205 $a2nd ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XVI, 528 p. 190 illus., 120 illus. in color.) 225 1 $aTexts in Applied Mathematics,$x0939-2475 ;$v56 311 08$a3-030-24260-9 327 $aDimensional Analysis -- Perturbation Methods -- Kinetics -- Diffusion -- Traffic Flow -- Continuum Mechanics: One Spatial Dimension -- Elastic and Viscoelastic Materials -- Continuum Mechanics: Three Spatial Dimensions -- Newtonian Fluids -- Appendices. 330 $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. The material, and topics, have been updated to include recent developments in mathematical modeling. The exercises have also been expanded to include these changes, as well as enhance those from the first edition. Review of first edition: "The goal of this book is to introduce the mathematical tools needed for analyzing and deriving mathematical models. ? Holmes is able to integrate the theory with application in a very nice way providing an excellent book on applied mathematics. ? One of the best features of the book is the abundant number of exercises found at the end of each chapter. ? I think this is a great book, and I recommend it for scholarly purposes by students, teachers, and researchers." Joe Latulippe, The Mathematical Association of America, December, 2009. 410 0$aTexts in Applied Mathematics,$x0939-2475 ;$v56 606 $aMathematical models 606 $aMechanics 606 $aPhysics 606 $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068 606 $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 615 0$aMathematical models. 615 0$aMechanics. 615 0$aPhysics. 615 14$aMathematical Modeling and Industrial Mathematics. 615 24$aClassical Mechanics. 615 24$aMathematical Methods in Physics. 676 $a530.155353 676 $a531.0151 700 $aHolmes$b Mark H.$4aut$4http://id.loc.gov/vocabulary/relators/aut$061979 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910349331803321 996 $aIntroduction to the foundations of applied mathematics$9229916 997 $aUNINA