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物理學(xué)與偏微分方程(下冊(cè)英文版)

物理學(xué)與偏微分方程(下冊(cè)英文版)

定 價(jià):¥79.00

作 者: Tatsien Li,Tiehu Qin 編
出版社: 高等教育出版社
叢編項(xiàng): 數(shù)學(xué)精品系列
標(biāo) 簽: 教材 理學(xué) 研究生/本科/專(zhuān)科教材

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ISBN: 9787040408508 出版時(shí)間: 2014-09-01 包裝: 精裝
開(kāi)本: 16開(kāi) 頁(yè)數(shù): 271 字?jǐn)?shù):  

內(nèi)容簡(jiǎn)介

  PhysicsandPortialDifferentialEquations,Volume//proceedsdirectlyfromVolumeIwithfiveadditionalchaptersthatbridgephysicsandappliedmathematicsinamannerthatiseasilyaccessibletoreaderswithanundergraduate-levelbackgroundinthesedisciplines.Readerswhoaremorefamiliarwithmathematicsthanphysicswilldiscovertheconnectionbetweenvariousphysicalandmechanicaldisciplinesandtheirrelatedmathematicalmodels,whicharedescribedbypartialdifferentialequations(PDEs).Theauthorsestablishthefundamentalequationsforfieldssuchas·electrodynamics;·fluiddynamics,magnetohydrodynamics,andreactingfluiddynamics;·elastic,thermoelastic,andviscoelasticmechanics;·thekinetictheoryofgases;·specialrelativity;and·quantummechanicsReaderswhoaremorefamiliarwithphysicsthanmathematicswillbenefitfromindepthexplanationsofhowPDEsworkaseffectivemathematicaltoolstomoreclearlyexpressandpresentthebasicconceptsofphysicsThebookdescribesthemathematicalstructuresandfeaturesofthesePDEs,including·thetypesandbasiccharacteristicsoftheequations,·thebehaviorofsolutions,and·somecommonlyusedapproachestosolvingPDEs.Eachchaptercanbereadindependentlyandincludesexercisesandreferences.UsedaloneorinconjunctionwithVolumeI,thisbookisappropriateasatextbookforupper-levelundergraduateandgraduatecoursesandcanalsoserveasareferenceforresearchersinapplicationareasthatusePDEsandinphysicalandnrechanicaldisciplines.

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圖書(shū)目錄

Preface to the English Edition
Preface to the Chinese Edition
6 Thermoelasticity
6.1 Introduction
6.2 The Conservation Law of Energy and the Entropy Inequality
6.3 Constitutive Relations in Thermoelasticity
6.4 System of Thermoelastodynamics and Its Mathematical Structure
6.5 Propagation of Acceleration Waves
Exercises
Bibliography
7 Viscoelasticity
7.1 Introduction
7.2 Constitutive Equations of Viscoelastic Materials and the Dissipation Inequality
7.3 System of Viscoelastodynamics and Its Well-Posed Problems
7.4 Singularity of the Kernel and the Propagation of Linear Waves
7.5 Propagation of Acceleration Waves
Exercises
Bibliography
8 Kinetic Theory of Gases
8.1 Introduction
8.2 Boltzmann Equation
8.3 Equilibrium State of Dilute Gases
8.4 Conservation Laws
8.5 Zero-Order Approximation
8.6 First-Order Approximation
8.7 Vlasov Equation and Related Coupled Systems
Exercises
Bibliography
9 Special Relativity and Relativistic Fluid Dynamics
9.1 Introduction
9.2 Fundamental Principles in Special Relativity; the Lorentz Transformation
9.3 Space-Time Theory in Special Relativity
9.4 Relativistic Dynamics
9.5 Relativistic Fluid Dynamics
9.6 Mathematical Structure of the System of Relativistic Fluid Dynamics
9.7 System of Relativistic Magnetohydrodynamics
Exercises
Bibliography
10 Quantum Mechanics
10.1 Establishment of Quantum Mechanics
10.2 Schrrdinger Equation and Wave Function
10.3 Introduction to the Fundamental Principles of Quantum Mechanics
10.4 Relativistic Quantum Mechanics and the Dirac Equation
Exercises
Bibliography
Appendix C Tensors in Minkowski Four-Space-Time
C. 1 Minkowski Four-Space-Time and the Lorentz Transformation
C.2 Tensors in Minkowski Four-Space-Time
C.3 Operations of Tensors
C.4 Covariant Derivatives of Tensors
Index

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