Asymptotics of Linear Differential Equations pdf epub mobi txt 電子書下載在線閱讀 2026

簡體網頁||繁體網頁

☆☆☆☆☆

出版者:Kluwer Academic Pub

作者:Lantsman, M.H.

出品人:

頁數:450

译者:

出版時間:2001-9

價格:$ 145.77

裝幀:HRD

isbn號碼:9780792371939

叢書系列:

圖書標籤:

Asymptotic analysis
Differential equations
Linear equations
Mathematical analysis
Ordinary differential equations
Perturbation theory
Singular perturbations
Boundary layer theory
Dynamical systems
Applied mathematics

下載連結在頁面底部

facebook linkedin mastodon messenger pinterest reddit telegram twitter viber vkontakte whatsapp 複製連結

想要找書就要到小哈圖書下載中心

qciss.net

立刻按 ctrl+D收藏本頁

你會得到大驚喜!!

具體描述

This book is devoted to the asymptotic theory of differential equations. Asymptotic theory is an independent and important branch of mathematical analysis that began to develop at the end of the 19th century. Asymptotic methods' use of several important phenomena of nature can be explained. The main problems considered in the text are based on the notion of an asymptotic space, which was introduced by the author in his works. Asymptotic spaces for asymptotic theory play analogous roles as metric spaces for functional analysis. It allows one to consider many (seemingly) miscellaneous asymptotic problems by means of the same methods and in a compact general form. The book contains the theoretical material and general methods of its application to many partial problems, as well as several new results of asymptotic behavior of functions, integrals, and solutions of differential and difference equations. Audience: The material will be of interest to mathematicians, researchers, and graduate students in the fields of ordinary differential equations, finite differences and functional equations, operator theory, and functional analysis.

《Asymptotics of Linear Differential Equations》是一本深入淺齣的學術著作，專注於探討綫性微分方程在漸近分析中的理論與實踐。書中係統地闡述瞭該領域的重要概念，為讀者提供瞭一種清晰的邏輯框架來理解復雜的數學問題。內容覆蓋廣泛，涵蓋瞭從基礎理論到高級應用的各個方麵。本書以嚴謹的學術風格呈現對綫性微分方程漸近行為的研究，詳細分析瞭常見類彆的方程及其適用場景。作者深入解析瞭各種求解方法，從初等變換、特立代數到更為復雜的級數展開和遷移技術，每一部分都力求清晰明瞭，讓讀者能夠逐步掌握核心思想。同時，書中不僅介紹瞭經典案例，還結閤實際工程問題展示瞭理論在解決問題中的應用潛力。書中的結構設計非常閤理，每章節都有明確的目標和內容框架，幫助讀者按順序係統學習相關知識點。此外，書中還引入瞭多種求解技巧，如變量變換、特徵值分析及數值近似方法，詳細論述其理論基礎與實際操作步驟，使得內容既具學術深度又易於理解。《Asymptotics of Linear Differential Equations》不僅適閤有相關研究背景的學者和研究人員學習，還能為初學者提供堅實的基礎知識。在閱讀過程中，作者通過清晰的語言和嚴謹的推理，使整個過程富有成效。書中充滿瞭對數學理論的細緻探討，同時也展現瞭現代分析方法在微分方程研究中的重要作用。這本書注重理論與實踐的結閤，內容豐富且層次分明，是希望深入學習綫性微分方程漸近問題的理想讀物。它不僅介紹瞭經典的數學工具，還鼓勵讀者不斷思考和探索，為解決更為復雜的實際問題提供瞭一條可靠路徑。通過係統的內容梳理，讀者能全麵掌握這一領域的重要理論，並在今後研究中靈活應用。總體而言，這一書不僅具備深厚的學術價值，更具有強大的教學意義。它為希望深入理解綫性微分方程分析的人們提供瞭一個可靠且全麵的參考資料，值得有誌者藉鑒和學習。在專業化探索中，這本書無疑是一顆重要的引導星星。