Mittag-Leffler Functions, Related Topics and Applications (Springer Monographs in Mathematics)
暫譯: Mittag-Leffler 函數、相關主題及應用(施普林格數學專著)
Rudolf Gorenflo
- 出版商: Springer
- 出版日期: 2016-09-22
- 售價: $3,860
- 貴賓價: 9.5 折 $3,667
- 語言: 英文
- 頁數: 460
- 裝訂: Paperback
- ISBN: 3662523248
- ISBN-13: 9783662523247
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商品描述
As a result of researchers’ and scientists’ increasing interest in pure as well as applied mathematics in non-conventional models, particularly those using fractional calculus, Mittag-Leffler functions have recently caught the interest of the scientific community. Focusing on the theory of the Mittag-Leffler functions, the present volume offers a self-contained, comprehensive treatment, ranging from rather elementary matters to the latest research results. In addition to the theory the authors devote some sections of the work to the applications, treating various situations and processes in viscoelasticity, physics, hydrodynamics, diffusion and wave phenomena, as well as stochastics. In particular the Mittag-Leffler functions allow us to describe phenomena in processes that progress or decay too slowly to be represented by classical functions like the exponential function and its successors. The book is intended for a broad audience, comprising graduate students, university instructors and scientists in the field of pure and applied mathematics, as well as researchers in applied sciences like mathematical physics, theoretical chemistry, bio-mathematics, theory of control and several other related areas.
商品描述(中文翻譯)
由於研究人員和科學家對於非傳統模型中純數學和應用數學的興趣日益增加,特別是那些使用分數微積分的模型,Mittag-Leffler 函數最近引起了科學界的關注。本書專注於 Mittag-Leffler 函數的理論,提供了一個自成體系、全面的處理,涵蓋從相當基礎的問題到最新的研究成果。除了理論之外,作者還將部分章節專門用於應用,探討在粘彈性、物理學、水動力學、擴散和波動現象以及隨機過程中的各種情況和過程。特別是,Mittag-Leffler 函數使我們能夠描述那些進展或衰減過於緩慢,以至於無法用經典函數(如指數函數及其後繼函數)來表示的現象。本書旨在面向廣泛的讀者,包括研究生、大學講師和純數學及應用數學領域的科學家,以及數學物理、理論化學、生物數學、控制理論和其他相關領域的應用科學研究人員。