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Item #:
45756449
A Theoretical Introduction to Numerical Analysis
Item #:
45756449
MVR 659
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An accessible yet rigorous mathematical introduction, this book provides a pedagogical account of the fundamentals of numerical analysis.
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Product Details
- A Theoretical Introduction to Numerical Analysis presents the general methodology and principles of numerical analysis, illustrating these concepts using numerical methods from real analysis, linear algebra, and differential equations. The book focuses on how to efficiently represent mathematical models for computer-based study.An accessible yet rigorous mathematical introduction, this book provides a pedagogical account of the fundamentals of numerical analysis. The authors thoroughly explain basic concepts, such as discretization, error, efficiency, complexity, numerical stability, consistency, and convergence. The text also addresses more complex topics like intrinsic error limits and the effect of smoothness on the accuracy of approximation in the context of Chebyshev interpolation, Gaussian quadratures, and spectral methods for differential equations. Another advanced subject discussed, the method of difference potentials, employs discrete analogues of Calderon’s potentials and boundary projection operators. The authors often delineate various techniques through exercises that require further theoretical study or computer implementation. By lucidly presenting the central mathematical concepts of numerical methods, A Theoretical Introduction to Numerical Analysis provides a foundational link to more specialized computational work in fluid dynamics, acoustics, and electromagnetism.
| Publisher | Chapman and Hall/CRC |
| Publication date | November 2, 2006 |
| Edition | 1st |
| Language | English |
| Print length | 552 pages |
| ISBN-10 | 9781584886075 |
| ISBN-13 | 978-1584886075 |
| Item Weight | 2 pounds (910 grams) |
| Dimensions | 6.5 x 1.25 x 9.5 inches (16.5 x 3.2 x 24.1 cm) |
Product Description
A Theoretical Introduction to Numerical Analysis
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What topics are covered in this book?
Answer: The book covers numerical methods in real analysis, linear algebra, differential equations, error analysis, efficiency, and advanced topics like Chebyshev interpolation. -
Question:
Is this book suitable for beginners?
Answer: Yes, it provides an accessible yet rigorous introduction to the fundamentals of numerical analysis. -
Question:
Does the book include practical exercises?
Answer: Yes, there are exercises that require further theoretical study or computer implementation.
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Features & Benefits
- Bridges the gap between theoretical concepts and practical computational applications.
- Focuses on efficient representation of mathematical models for computer study.
- Covers fundamental topics like error, efficiency, and numerical stability.
- Includes advanced discussions on interpolation and differential equations.
- Contains exercises for deeper theoretical understanding and computer implementation.
- Serves as a foundational resource for specialized studies in fluid dynamics and electromagnetism.
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