A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.
發表於2024-12-22
Advanced Mathematical Methods for Scientists and Engineers 2024 pdf epub mobi 電子書 下載
這本是好書啊,就是數學不嚴格,學數學的人看比較的頭疼,不過這個方嚮也沒啥寫得清楚得東西,我們學校有個老師寫瞭個嚴格證明的書,可是寫的不清楚,沒法讀啊,隻能跟老師學纔學得懂。
評分這本是好書啊,就是數學不嚴格,學數學的人看比較的頭疼,不過這個方嚮也沒啥寫得清楚得東西,我們學校有個老師寫瞭個嚴格證明的書,可是寫的不清楚,沒法讀啊,隻能跟老師學纔學得懂。
評分這本是好書啊,就是數學不嚴格,學數學的人看比較的頭疼,不過這個方嚮也沒啥寫得清楚得東西,我們學校有個老師寫瞭個嚴格證明的書,可是寫的不清楚,沒法讀啊,隻能跟老師學纔學得懂。
評分把如何用asymptotic approximation解釋的很清楚,應用也很全。 書裏的例子也很不錯,解釋清楚,承前啓後。 同推薦 Murray的 Asymptotic Analysis 作為入門級.
圖書標籤: 非綫性 數學 math-phys Mathematics PC5204B Numerical
C.M.Bender,畢業論文引瞭這書倆定理。
評分C.M.Bender,畢業論文引瞭這書倆定理。
評分C.M.Bender,畢業論文引瞭這書倆定理。
評分C.M.Bender,畢業論文引瞭這書倆定理。
評分C.M.Bender,畢業論文引瞭這書倆定理。
Advanced Mathematical Methods for Scientists and Engineers 2024 pdf epub mobi 電子書 下載