Numerical Methods for Special Functions

Β· Β·
· Other Titles in Applied Mathematics Книга 95 · SIAM
4,2
4 Ρ€Π΅Ρ†Π΅Π½Π·ΠΈΠΈ
Π•-ΠΊΠ½ΠΈΠ³Π°
431
Π‘Ρ‚Ρ€Π°Π½ΠΈΡ†ΠΈ
Π‘ΠΎΠΎΠ΄Π²Π΅Ρ‚Π½Π°
ΠžΡ†Π΅Π½ΠΈΡ‚Π΅ ΠΈ Ρ€Π΅Ρ†Π΅Π½Π·ΠΈΠΈΡ‚Π΅ Π½Π΅ сС ΠΏΠΎΡ‚Π²Ρ€Π΄Π΅Π½ΠΈ Β Π”ΠΎΠ·Π½Π°Ρ˜Ρ‚Π΅ повСќС

Π—Π° Π΅-ΠΊΠ½ΠΈΠ³Π°Π²Π°

Special functions arise in many problems of pure and applied mathematics, mathematical statistics, physics, and engineering. This book provides an up-to-date overview of numerical methods for computing special functions and discusses when to use these methods depending on the function and the range of parameters. Not only are standard and simple parameter domains considered, but methods valid for large and complex parameters are described as well. The first part of the book (basic methods) covers convergent and divergent series, Chebyshev expansions, numerical quadrature, and recurrence relations. Its focus is on the computation of special functions; however, it is suitable for general numerical courses. Pseudoalgorithms are given to help students write their own algorithms. In addition to these basic tools, the authors discuss other useful and efficient methods, such as methods for computing zeros of special functions, uniform asymptotic expansions, Pad? approximations, and sequence transformations. The book also provides specific algorithms for computing several special functions (like Airy functions and parabolic cylinder functions, among others).

ΠžΡ†Π΅Π½ΠΈ ΠΈ Ρ€Π΅Ρ†Π΅Π½Π·ΠΈΠΈ

4,2
4 Ρ€Π΅Ρ†Π΅Π½Π·ΠΈΠΈ

ΠžΡ†Π΅Π½Π΅Ρ‚Π΅ ја Π΅-ΠΊΠ½ΠΈΠ³Π°Π²Π°

ΠšΠ°ΠΆΠ΅Ρ‚Π΅ Π½ΠΈ ΡˆΡ‚ΠΎ мислитС.

Π˜Π½Ρ„ΠΎΡ€ΠΌΠ°Ρ†ΠΈΠΈ Π·Π° Ρ‡ΠΈΡ‚Π°ΡšΠ΅

ΠŸΠ°ΠΌΠ΅Ρ‚Π½ΠΈ Ρ‚Π΅Π»Π΅Ρ„ΠΎΠ½ΠΈ ΠΈ Ρ‚Π°Π±Π»Π΅Ρ‚ΠΈ
Π˜Π½ΡΡ‚Π°Π»ΠΈΡ€Π°Ρ˜Ρ‚Π΅ ја Π°ΠΏΠ»ΠΈΠΊΠ°Ρ†ΠΈΡ˜Π°Ρ‚Π° Google Play Books Π·Π° Android ΠΈ iPad/iPhone. Автоматски сС синхронизира со смСтката ΠΈ Π²ΠΈ ΠΎΠ²ΠΎΠ·ΠΌΠΎΠΆΡƒΠ²Π° Π΄Π° Ρ‡ΠΈΡ‚Π°Ρ‚Π΅ онлајн ΠΈΠ»ΠΈ ΠΎΡ„Π»Π°Ρ˜Π½ ΠΊΠ°Π΄Π΅ ΠΈ Π΄Π° стС.
Π›Π°ΠΏΡ‚ΠΎΠΏΠΈ ΠΈ ΠΊΠΎΠΌΠΏΡ˜ΡƒΡ‚Π΅Ρ€ΠΈ
МоТС Π΄Π° ΡΠ»ΡƒΡˆΠ°Ρ‚Π΅ Π°ΡƒΠ΄ΠΈΠΎΠΊΠ½ΠΈΠ³ΠΈ ΠΊΡƒΠΏΠ΅Π½ΠΈ ΠΎΠ΄ Google Play со ΠΊΠΎΡ€ΠΈΡΡ‚Π΅ΡšΠ΅ Π½Π° Π²Π΅Π±-прСлистувачот Π½Π° ΠΊΠΎΠΌΠΏΡ˜ΡƒΡ‚Π΅Ρ€ΠΎΡ‚.
Π•-Ρ‡ΠΈΡ‚Π°Ρ‡ΠΈ ΠΈ Π΄Ρ€ΡƒΠ³ΠΈ ΡƒΡ€Π΅Π΄ΠΈ
Π—Π° Π΄Π° Ρ‡ΠΈΡ‚Π°Ρ‚Π΅ Π½Π° ΡƒΡ€Π΅Π΄ΠΈ со Π΅-мастило, ΠΊΠ°ΠΊΠΎ ΡˆΡ‚ΠΎ сС Π΅-Ρ‡ΠΈΡ‚Π°Ρ‡ΠΈΡ‚Π΅ Kobo, ќС Ρ‚Ρ€Π΅Π±Π° Π΄Π° ΠΏΡ€Π΅Π·Π΅ΠΌΠ΅Ρ‚Π΅ Π΄Π°Ρ‚ΠΎΡ‚Π΅ΠΊΠ° ΠΈ Π΄Π° ја ΠΏΡ€Π΅Ρ„Ρ€Π»ΠΈΡ‚Π΅ Π½Π° ΡƒΡ€Π΅Π΄ΠΎΡ‚. Π‘Π»Π΅Π΄Π΅Ρ‚Π΅ Π³ΠΈ Π΄Π΅Ρ‚Π°Π»Π½ΠΈΡ‚Π΅ упатства Π²ΠΎ Π¦Π΅Π½Ρ‚Π°Ρ€ΠΎΡ‚ Π·Π° помош Π·Π° ΠΏΡ€Π΅Ρ„Ρ€Π»Π°ΡšΠ΅ Π½Π° Π΄Π°Ρ‚ΠΎΡ‚Π΅ΠΊΠΈΡ‚Π΅ Π½Π° ΠΏΠΎΠ΄Π΄Ρ€ΠΆΠ°Π½ΠΈ Π΅-Ρ‡ΠΈΡ‚Π°Ρ‡ΠΈ.