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Partial differential equations of applied mathematics
Book Reviews
71
aspects of geometry involving nonlinear elliptic partial differential equations, and a complete new theory of integrability with classic examples Contents: Chapter 1: Integrable Nonlinear Systems and Their Perturbation Chapter 2: General Principles for Nonlinear Systems Chapter 3: Some Connections between Global Differential Geometry and Nonlinear Analysis Chapter 4: Vortices in Ideal Fluids Chapter 5: Mathematical Aspects of Superconductivity Problems Index Limited Bibliography. The intended audience is mathematicians, physicists and engineers interested in nonlinear analysis and its applications. The book can be used as a textbook. (WFA)
E. Zauderer, Partial D$ferentiai Equations of Applied Mathematics. Wiley, New York, 1989, 2nd ed. 891 pp., US$S1.30 (HB), $29.75 (PB), ISBN O-471-61298-7. This second edition is thoroughly revised and expanded (from 779 pp.!). It highlights the formulation of problems leading to partial differential equations (PDEs), the classification and characterization of equations and exact and approximate methods of solution. Contents: (1) Random walks and PDEs (2) First order PDEs (3) Classification of Equations and Characteristics (4) Initial and Boundary Value Problems in Bounded Regions (5) Integral Transforms (6) Integral Relations (7) Green’s Functions (81 Variational and (3t:ler Methods (9) Perturbation Methods (10) Asymptotic Methods Bitliography Solutions Index. (WFA)
A.G. Butksvskiy and Yu.1. Samoiler.ko, Control of Quantum-Mechanical Mathematics and its Applications (Soviet Series). Kluwer, US$99, UK&65, ISBN o-7923-0689-9.
Processes aud Systems, . 232 PP.~ DfI.175,
The control of quantum-mechanical processes and systems is a problem of increasing topicality. Purposeful control of the quantum state of matter has for some time betn the focus of
71
aspects of geometry involving nonlinear elliptic partial differential equations, and a complete new theory of integrability with classic examples Contents: Chapter 1: Integrable Nonlinear Systems and Their Perturbation Chapter 2: General Principles for Nonlinear Systems Chapter 3: Some Connections between Global Differential Geometry and Nonlinear Analysis Chapter 4: Vortices in Ideal Fluids Chapter 5: Mathematical Aspects of Superconductivity Problems Index Limited Bibliography. The intended audience is mathematicians, physicists and engineers interested in nonlinear analysis and its applications. The book can be used as a textbook. (WFA)
E. Zauderer, Partial D$ferentiai Equations of Applied Mathematics. Wiley, New York, 1989, 2nd ed. 891 pp., US$S1.30 (HB), $29.75 (PB), ISBN O-471-61298-7. This second edition is thoroughly revised and expanded (from 779 pp.!). It highlights the formulation of problems leading to partial differential equations (PDEs), the classification and characterization of equations and exact and approximate methods of solution. Contents: (1) Random walks and PDEs (2) First order PDEs (3) Classification of Equations and Characteristics (4) Initial and Boundary Value Problems in Bounded Regions (5) Integral Transforms (6) Integral Relations (7) Green’s Functions (81 Variational and (3t:ler Methods (9) Perturbation Methods (10) Asymptotic Methods Bitliography Solutions Index. (WFA)
A.G. Butksvskiy and Yu.1. Samoiler.ko, Control of Quantum-Mechanical Mathematics and its Applications (Soviet Series). Kluwer, US$99, UK&65, ISBN o-7923-0689-9.
Processes aud Systems, . 232 PP.~ DfI.175,
The control of quantum-mechanical processes and systems is a problem of increasing topicality. Purposeful control of the quantum state of matter has for some time betn the focus of