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64247434
Partial Differential Equations I: Basic Theory (Applied Mathematical Sciences)
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64247434
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Introduces basic examples and tools for solving partial differential equations, applied to a variety of areas like continuum mechanics, electromagnetism, and complex analysis.
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What Stands Out
Comprehensive Coverage
This edition offers an extensive exploration of basic theory in partial differential equations, making it an essential resource for both students and professionals seeking an in-depth understanding of the subject.
Updated Examples
Includes revised examples and problems that reflect contemporary applications, enhancing learning and ensuring relevance in today's mathematical landscape for academic and practical uses.
Clear Explanations
Provides lucid explanations and step-by-step approaches, making complex concepts accessible and fostering a deeper grasp of partial differential equations for learners at all levels.
Product Details
- Introduces basic examples from continuum mechanics, electromagnetism, and complex analysis
- Develops tools for solving PDEs including Fourier analysis, distribution theory, and Sobolev spaces
- Covers the treatment of basic problems in linear PDE such as the Laplace equation, heat equation, and wave equation
- Applies tools to more general elliptic, parabolic, and hyperbolic equations
- Targeted at graduate students and professional mathematicians interested in PDEs, mathematical physics, and related areas
| Publisher | Springer |
| Publication date | December 25, 2012 |
| Edition | 2nd |
| Language | English |
| Print length | 680 pages |
| ISBN-10 | 1461427266 |
| ISBN-13 | 978-1461427261 |
| Item Weight | 2.1 pounds (950 grams) |
| Dimensions | 6.1 x 1.54 x 9.25 inches (15.5 x 3.9 x 23.5 cm) |
| Part of series | Applied Mathematical Sciences |
Who Should Buy?
-
Graduate Students
Ideal for graduate students specializing in mathematics, physics, or engineering who need a strong foundation in PDEs.
-
Researchers
Beneficial for researchers looking to deepen their understanding of the basic theory of partial differential equations.
-
Instructors
Useful for educators seeking comprehensive resource material to teach courses on partial differential equations.
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Beginners
Not suitable for beginners without a prior background in advanced calculus and ordinary differential equations.
Product Description
Partial Differential Equations I: Basic Theory (Applied Mathematical Sciences)
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Differential Equations Editorial Review
Partial Differential Equations I: Basic Theory is a comprehensive book that offers a thorough introduction to the basic concepts of partial differential equations. The book provides clear explanations and examples, making it suitable for both beginners and advanced learners. It covers the fundamental theory as well as practical applications, making it a valuable resource for students, researchers, and professionals.
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Pros
- Comprehensive coverage of basic theory
- Clear explanations and examples
- Suitable for both beginners and advanced learners
- Includes practical applications
Cons
- May be too advanced for absolute beginners
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Features & Benefits
- First of three volumes on partial differential equations
- Tools introduced include Fourier analysis, distribution theory, and Sobolev spaces
- Focus on basic problems in linear PDE including Laplace, heat, and wave equations
- Ideal for graduate students in mathematics and professional mathematicians
- Targeted at those interested in PDEs, mathematical physics, differential geometry, and more
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