Numerical analysis provides the theoretical foundation for the numerical algorithms we rely on to solve a multitude of computational problems in science. Based on a successful course at Oxford University, this book covers a wide range of such problems ranging from the approximation of functions and integrals to the approximate solution of algebraic, transcendental, differential and integral equations. Throughout the book, particular attention is paid to the essential qualities of a numerical algorithm - stability, accuracy, reliability and efficiency. The authors go further than simply providing recipes for solving computational problems. They carefully analyse the reasons why methods might fail to give accurate answers, or why one method might return an answer in seconds while another would take billions of years. This book is ideal as a text for students in the second year of a university mathematics course. It combines practicality regarding applications with consistently high standards of rigour.
發表於2024-11-23
An Introduction to Numerical Analysis 2024 pdf epub mobi 電子書 下載
圖書標籤: 數學 數值分析 Numerical Analysis 算法 科普 數值方法 ScientificComputation
對於interpolation和quadrature非常有幫助
評分確實寫的很好,但level太高。Amazon的評價叫"the most theoratical of all undergrad texts"。知識點倒還是比較正常,但是主要都是證明,另外對linear algebra(包括real analysis)要求很高,遠遠超過一般美本linear algebra的水準。
評分對於interpolation和quadrature非常有幫助
評分數值逼近部分很好
評分Nice textbook!
An Introduction to Numerical Analysis 2024 pdf epub mobi 電子書 下載