LEADER 04805nam 2200757Ia 450 001 9910970792703321 005 20200520144314.0 010 $a9786613009173 010 $a9781283009171 010 $a128300917X 010 $a9781400839117 010 $a1400839114 024 7 $a10.1515/9781400839117 035 $a(CKB)2550000000031614 035 $a(EBL)664639 035 $a(OCoLC)719383459 035 $a(SSID)ssj0000471205 035 $a(PQKBManifestationID)12195106 035 $a(PQKBTitleCode)TC0000471205 035 $a(PQKBWorkID)10416360 035 $a(PQKB)11444934 035 $a(WaSeSS)Ind00023635 035 $a(DE-B1597)446556 035 $a(OCoLC)979749811 035 $a(DE-B1597)9781400839117 035 $a(Au-PeEL)EBL664639 035 $a(CaPaEBR)ebr10449970 035 $a(CaONFJC)MIL300917 035 $a(PPN)170600130 035 $a(FR-PaCSA)88811613 035 $a(MiAaPQ)EBC664639 035 $a(Perlego)735124 035 $a(FRCYB88811613)88811613 035 $a(EXLCZ)992550000000031614 100 $a20101025d2011 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMathematical modeling of earth's dynamical systems $ea primer /$fRudy Slingerland and Lee Kump 205 $aCourse Book 210 $aPrinceton $cPrinceton University Press$dc2011 215 $a1 online resource (246 p.) 300 $aDescription based upon print version of record. 311 08$a9780691145136 311 08$a069114513X 311 08$a9780691145143 311 08$a0691145148 320 $aIncludes bibliographical references and index. 327 $t Frontmatter -- $tContents -- $tPreface -- $t1. Modeling and Mathematical Concepts -- $t2. Basics of Numerical Solutions by Finite Difference -- $t3. Box Modeling: Unsteady, Uniform Conservation of Mass -- $t4. One-Dimensional Diffusion Problems -- $t5. Multidimensional Diffusion Problems -- $t6. Advection-Dominated Problems -- $t7. Advection and Diffusion (Transport) Problems -- $t8. Transport Problems with a Twist: The Transport of Momentum -- $t9. Systems of One-Dimensional Nonlinear Partial Differential Equations -- $t10. Two-Dimensional Nonlinear Hyperbolic Systems -- $tClosing Remarks -- $tReferences -- $tIndex 330 $aMathematical Modeling of Earth's Dynamical Systems gives earth scientists the essential skills for translating chemical and physical systems into mathematical and computational models that provide enhanced insight into Earth's processes. Using a step-by-step method, the book identifies the important geological variables of physical-chemical geoscience problems and describes the mechanisms that control these variables.This book is directed toward upper-level undergraduate students, graduate students, researchers, and professionals who want to learn how to abstract complex systems into sets of dynamic equations. It shows students how to recognize domains of interest and key factors, and how to explain assumptions in formal terms. The book reveals what data best tests ideas of how nature works, and cautions against inadequate transport laws, unconstrained coefficients, and unfalsifiable models. Various examples of processes and systems, and ample illustrations, are provided. Students using this text should be familiar with the principles of physics, chemistry, and geology, and have taken a year of differential and integral calculus.Mathematical Modeling of Earth's Dynamical Systems helps earth scientists develop a philosophical framework and strong foundations for conceptualizing complex geologic systems.Step-by-step lessons for representing complex Earth systems as dynamical models Explains geologic processes in terms of fundamental laws of physics and chemistry Numerical solutions to differential equations through the finite difference technique A philosophical approach to quantitative problem-solving Various examples of processes and systems, including the evolution of sandy coastlines, the global carbon cycle, and much more Professors: A supplementary Instructor's Manual is available for this book. It is restricted to teachers using the text in courses. For information on how to obtain a copy, refer to: http://press.princeton.edu/class_use/solutions.html 606 $aGaia hypothesis$xMathematical models 606 $aGeobiology 615 0$aGaia hypothesis$xMathematical models. 615 0$aGeobiology. 676 $a550.1/5118 700 $aSlingerland$b Rudy$01152369 701 $aKump$b Lee R$01152370 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910970792703321 996 $aMathematical modeling of earth's dynamical systems$94339170 997 $aUNINA