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Analyzing how errors propagates through a sequence of calculations.
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Developed through four semesters of teaching over more than a decade, An Introduction to Numerical Computation is, at its heart, a set of refined lecture notes from Wen Shen's course at Penn State University. The book's philosophy is to avoid the "encyclopedia approach"—surveying every possible algorithm—and instead focus on the most important computational methods, emphasizing the fundamental mathematical ideas that make them work.
The book "An Introduction to Numerical Computation" by Wen Shen is designed for undergraduate students, graduate students, and professionals who want to learn numerical computation. The book covers a wide range of topics, including:
| Feature | 1st Edition (2016) | 2nd Edition (2019/2020) | | :--- | :--- | :--- | | | 255 pages | 322 pages | | Primary ISBNs | Hardcover: 978-981-4730-06-8 | Hardcover: 978-981-12-0441-8 Paperback: 978-981-120-518-7 | | eBook/PDF ISBN | 978-981-4730-09-9 | 978-981-12-0443-2 | | Total Pages (eBook) | 268 pages | 339 pages (some sources) to 340 pages | | Key New Content | — | Hermite/spline interpolation, integrals over infinite intervals, FFT, eigenvalue methods (QR, power) |
Numerical integration techniques like the Trapezoidal Rule and Simpson’s Rule.
Basic programming concepts (loops, conditional statements, and functions) Finding the PDF and Resources
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Understanding when a numerical solution will remain accurate versus when it will blow up. Pedagogical Features: Why This Book Excel
The textbook is structured logically, guiding the reader from basic error analysis to complex differential equations. The foundational pillars of the book include: 1. Number Systems and Error Analysis
Perfect for sophomore or junior-level courses in math, engineering, physics, or computer science.
The book "An Introduction to Numerical Computation" by Wen Shen is suitable for:
The importance of , which tell us how sensitive a solution is to small errors. 3. Interpolation and Approximation
