Numerical Analysis 2nd Edition by Walter Gautschi (PDF)

Description

Revised and updated, this second edition of Walter Gautschi’s successful Numerical Analysis explores computational methods for problems arising in the areas of classical analysis, approximation theory, and ordinary differential equations, among others. Topics included in the book are presented with a view toward stressing basic principles and maintaining simplicity and teachability as far as possible, while subjects requiring a higher level of technicality are referenced in detailed bibliographic notes at the end of each chapter. Readers are thus given the guidance and opportunity to pursue advanced modern topics in more depth. Along with updated references, new biographical notes, and enhanced notational clarity, this second edition includes the expansion of an already large collection of exercises and assignments, both the kind that deal with theoretical and practical aspects of the subject and those requiring machine computation and the use of mathematical software. Perhaps most notably, the edition also comes with a complete solutions manual, carefully developed and polished by the author, which will serve as an exceptionally valuable resource for instructors.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I’m using this for the second semester of my graduate level year-long introduction to numerical analysis. The first semester I taught out of Trefethen and Bau’s Numerical Linear Algebra, the second is Gautschi for approximation theory, nonlinear equations, and differential equations.The selection of topics is in general good for the book’s role in my course.Strengths:(1) Gautschi provides a huge number of homework problems, some of which have solutions worked in detail.(2) Each chapter has a literature survey for advanced topics at the end.(3) Well written(4) many proofs left to readerWeaknesses:(1) terrible (and odd) notation in places. One example: the symbol pi_i for a generic basis function for a space of polynomials.(2) many theorems are stated and proved “on the fly” in prose paragraphs rather than stated formally as numbered theorems. For my point of view as a teacher, I can’t simply refer to “theorem 3.14 in Gautschi” or whatever. From the student’s point of view, it makes for a less formal read on the first pass but then later it’s not quite as easy to find “that theorem about X” or whatever.

⭐As indicated above, the quality of printing is good. The content is okay i think, The only problem i got is the hard cover is fragile and peel off from the pages attached. Umm.. not sure if this is my case only.

⭐I really enjoy reading this book by Prof. Gautschi. It’s not an advance book in the topic, but the clarityplus the little notes on the history of numerical analysis makes reading it very pleasing. I feel Prof. Gautschiwas very careful at the details of the book’s presentation and the examples were really well chosen. I recommend thisbook for people learning the field and users of numerical software. The bridge between theory and meaningfulnumbers on a computer screen is definitely numerical analysis, and notions of this subject is a must.

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