Physics and Partial Differential Equations, The Complete Set bridges physics and applied mathematics in a manner that is easily accessible to readers with an undergraduate-level background in these disciplines. Each volume is also sold individually. Readers who are more familiar with mathematics than physics will discover the connection between various physical and mechanical disciplines and their related mathematical models, which are described by partial differential equations (PDEs). The authors establish the fundamental equations for fields such as?electrodynamics;?fluid dynamics, magnetohydrodynamics, and reacting fluid dynamics;?elastic, thermoelastic, and viscoelastic mechanics;?the kinetic theory of gases;?special relativity; and?quantum mechanics. Readers who are more familiar with physics than mathematics will benefit from in-depth explanations of how PDEs work as effective mathematical tools to more clearly express and present the basic concepts of physics. The book describes the mathematical structures and features of these PDEs, including?the types and basic characteristics of the equations,?the behavior of solutions, and?some commonly used approaches to solving PDEs.
Now available in English for the first time, Physics and Partial Differential Equations, Volume I bridges physics and applied mathematics in a manner that is easily accessible to readers with an undergraduate-level background in these disciplines. Readers who are more familiar with mathematics than physics will discover the connection between various physical and mechanical disciplines and their related mathematical models, which are described by partial differential equations (PDEs). The authors establish the fundamental equations for fields such as electrodynamics; fluid dynamics, magnetohydrodynamics, and reacting fluid dynamics; elastic, thermoelastic, and viscoelastic mechanics; the kinetic theory of gases; special relativity; and quantum mechanics. Readers who are more familiar with physics than mathematics will benefit from in-depth explanations of how PDEs work as effective mathematical tools to more clearly express and present the basic concepts of physics. The book describes the mathematical structures and features of these PDEs, including the types and basic characteristics of the equations, the behavior of solutions, and some commonly used approaches to solving PDEs. Each chapter can be read independently and includes exercises and references.
Physics and Partial Differential Equations, Volume II?proceeds directly from Volume I (SIAM, 2012) with five additional chapters that bridge physics and applied mathematics in a manner that is easily accessible to readers with an undergraduate-level background in these disciplines.? Readers who are more familiar with mathematics than physics will discover the connection between various physical and mechanical disciplines and their related mathematical models, which are described by partial differential equations (PDEs). The authors establish the fundamental equations for fields such as electrodynamics; fluid dynamics, magnetohydrodynamics, and reacting fluid dynamics; elastic, thermoelastic, and viscoelastic mechanics; the kinetic theory of gases; special relativity; and quantum mechanics.? Readers who are more familiar with physics than mathematics will benefit from in-depth explanations of how PDEs work as effective mathematical tools to more clearly express and present the basic concepts of physics. The book describes the mathematical structures and features of these PDEs, including the types and basic characteristics of the equations, the behavior of the solutions, and some commonly used approaches to solving PDEs.? ?
Partial differential equations (PDEs) play a central role in modern physics as a tool to model many fundamental physical processes. This book provides a bridge between the problems addressed by physics and the mathematical tools used to solve them. The authors describe the connections between various physical disciplines and their related mathematical models, which are described by partial differential equations (PDEs) and establish the fundamental equations in areas such as electrodynamics; fluid dynamics; elastic mechanics; kinetic theory of gases; special relativity; and quantum mechanics. This is followed by in-depth explanations of how PDEs work as effective tools to express the basic concepts of physics. The book describes the features of these PDEs, including the types and characteristics of the equations, the behaviour of solutions and common approaches for solving PDEs. The chapters, which include exercises, are self-contained and are accessible to anyone with knowledge of basic undergraduate maths and physics.
Now available in English for the first time,?Physics and Partial Differential Equations, Volume I?bridges physics and applied mathematics in a manner that is easily accessible to readers with an undergraduate-level background in these disciplines.? Readers who are more familiar with mathematics than physics will discover the connection between various physical and mechanical disciplines and their related mathematical models, which are described by partial differential equations (PDEs). The authors establish the fundamental equations for fields such as electrodynamics; fluid dynamics, magnetohydrodynamics, and reacting fluid dynamics; elastic, thermoelastic, and viscoelastic mechanics; the kinetic theory of gases; special relativity; and quantum mechanics. Readers who are more familiar with physics than mathematics will benefit from in-depth explanations of how PDEs work as effective mathematical tools to more clearly express and present the basic concepts of physics. The book describes the mathematical structures and features of these PDEs, including the types and basic characteristics of the equations, the behavior of solutions, and some commonly used approaches to solving PDEs. Each chapter can be read independently and includes exercises and references.?
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