Functional Analysis and Applications
暫譯: 函數分析與應用

Siddiqi, Abul Hasan

Functional Analysis and Applications

相關主題

商品描述

Metric Spaces and Banach Fixed Point Theorem.- Banach Spaces.- Hilbert Space.- Fundamental Theorems.- Differential and Integral Calculus in Banach Spaces.- Optimisation Problems.- Operator Equations and Variational Methods.- Finite Element and Boundary Element Methods.- Variational Inequalities and Applications.- Spectral Theory with Application.- Frame and Basis Theory in Hilbert Spaces.- Wavelet Theory.- Wavelet Method for Partial Dierential Equations and Image Processing.- Wavelet Frames.- Gabor Analysis.

商品描述(中文翻譯)

度量空間與巴拿赫不動點定理。- 巴拿赫空間。- 希爾伯特空間。- 基本定理。- 巴拿赫空間中的微分與積分計算。- 優化問題。- 算子方程與變分方法。- 有限元素法與邊界元素法。- 變分不等式與應用。- 具有應用的譜理論。- 希爾伯特空間中的框架與基底理論。- 小波理論。- 小波方法於偏微分方程與影像處理。- 小波框架。- 加波分析。

作者簡介

ABUL HASAN SIDDIQI is a distinguished scientist and professor emeritus at the School of Basic Sciences and Research at Sharda University, Greater Noida, India. Professor Siddiqi has held several important administrative positions such as Chairman, Department of Mathematics, Dean Faculty of Science, Pro-Vice-Chancellor in one of the Central Universities of India--Aligarh Muslim University. He has been actively associated with International Centre for Theoretical Physics, Trieste, Italy (UNESCO organisation) in different capacities for more than 20 years, was professor of Mathematics at King FahadFahd University of Petroleum and Minerals, Saudi Arabia for 10 years, consultant to Sultan Qaboos University, Oman for 5 terms, Istanbul Aydin University, Turkey for three years and Institute of Micro-electronics, Malaysia for five months. Having been awarded three German Academic Exchange Fellowships to carry out mathematical research in Germany, he has also jointly published more than 100 research papers with his research collaborators, 5 books and edited proceedings of 9 international conferences. He is the founder secretary of the Indian Society of Industrial and Applied Mathematics (ISIAM), which celebrated its Silver Jubilee in January 2016. He is editor-in-chief of the Indian Journal of Industrial and Applied Mathematics, published by the ISIAM, and of the book series Industrial and Applied Mathematics with Springer. Recently he has been elected President of ISIAM which represents India at the Apex forum of Industrial and Applied Mathematics-ICIAM.

作者簡介(中文翻譯)

阿布爾·哈桑·西迪基（ABUL HASAN SIDDIQI）是印度大諾伊達沙爾達大學基礎科學與研究學院的傑出科學家及名譽教授。西迪基教授曾擔任多個重要的行政職位，包括數學系主任、科學院院長，以及印度中央大學之一的阿里格爾穆斯林大學的副校長。他與位於意大利的國際理論物理中心（UNESCO 組織）有超過 20 年的密切合作，曾在沙烏地阿拉伯的法赫德石油與礦業大學擔任數學教授 10 年，並擔任阿曼的卡布斯蘇丹大學顧問 5 屆、土耳其的伊斯坦堡艾丁大學 3 年，以及馬來西亞微電子研究所 5 個月的顧問。西迪基教授曾獲得三項德國學術交流獎學金，以在德國進行數學研究，並與研究合作者共同發表了超過 100 篇研究論文、5 本書籍，以及編輯了 9 次國際會議的會議紀錄。他是印度工業與應用數學學會（ISIAM）的創始秘書，該學會於 2016 年 1 月慶祝其銀禧紀念。他是由 ISIAM 出版的《印度工業與應用數學期刊》的主編，以及與施普林格（Springer）合作的工業與應用數學書系的主編。最近，他被選為 ISIAM 的會長，該學會代表印度參加工業與應用數學的最高論壇 ICIAM。

類似商品