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Partial Differential Equations II: Elements of the Modern Theory. Equations with Constant Coefficients: 31 (Encyclopaedia of Mathematical Sciences,
BAM 398
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This book is an essential survey of the modern theory of general linear partial differential equations, offering in-depth insights into equations with constant coefficients.
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Detalji o proizvodu
- This book, the first printing of which was published as Volume 31 of the Encyclopaedia of Mathematical Sciences, contains a survey of the modern theory of general linear partial differential equations and a detailed review of equations with constant coefficients. Readers will be interested in an introduction to microlocal analysis and its applications including singular integral operators, pseudodifferential operators, Fourier integral operators and wavefronts, a survey of the most important results about the mixed problem for hyperbolic equations, a review of asymptotic methods including short wave asymptotics, the Maslov canonical operator and spectral asymptotics, a detailed description of the applications of distribution theory to partial differential equations with constant coefficients including numerous interesting special topics.
| Publisher | Springer |
| Publication date | 14 Dec. 1994 |
| Edition | 1994th |
| Language | English |
| Print length | 273 pages |
| ISBN-10 | 3540520015 |
| ISBN-13 | 978-3540520016 |
| Item weight | 1.26 kg |
| Dimensions | 15.6 x 1.75 x 23.39 cm |
Who Should Buy?
-
Graduate Students
Ideal for graduate students focusing on advanced partial differential equations and their applications in various fields.
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Research Mathematicians
Beneficial for researchers aiming to deepen their understanding of the modern theory of partial differential equations.
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Applied Scientists
Useful for applied scientists needing insights into equations with constant coefficients within engineering and physics contexts.
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Casual Learners
Not suitable for casual learners or beginners with no prior knowledge of differential equations or mathematical theory.
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Differential Equations Editorial Review
Partial Differential Equations II: Elements of the Modern Theory covers equations with constant coefficients and is a vital addition to the Encyclopaedia of Mathematical Sciences series. Published by Springer in 1994, this edition spans 273 pages and presents sophisticated mathematical theories in an accessible format. The weight and dimensions suggest it's a substantial reference book for those engaged in advanced studies of partial differential equations. Readers looking for comprehensive insights and mathematical rigor will appreciate its clear presentation and thorough treatment of the subject matter, making it suitable for both academics and practitioners in mathematics.
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Pros
- Published by a reputable publisher, Springer
- Comprehensive coverage of modern mathematical theory
- Clear and accessible presentation of complex topics
- Ideal for advanced studies in mathematics
- Substantial length for in-depth exploration
Cons
- Might be too complex for beginners in the field
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Karakteristike i prednosti
- Comprehensive survey of modern theory on general linear partial differential equations.
- Focuses on equations with constant coefficients for in-depth understanding.
- Introduces microlocal analysis and its practical applications.
- Includes coverage of singular integral and pseudodifferential operators.
- Presents essential results for the mixed problem for hyperbolic equations.
- Explores asymptotic methods and distribution theory applications.
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