Concise Introduction to Basic Real Analysis
暫譯: 基本實分析簡明介紹

這本書提供了實分析的基本主題介紹，使所有學習者都能輕鬆理解這個主題。這本書對於從事數學、工程、技術及其他物理科學領域的實分析相關工作的人士非常有用。它在處理基本和必要主題時保持良好的平衡，使讀者能夠輕鬆學習更高級的主題。書中包含許多範例和每章結尾的練習題，並在幾個關鍵案例中提供解題提示。這本書非常適合學生、講師以及那些在需要基本實分析知識的領域進行研究的人士。對於在該領域更進階的人士，這本書也能幫助他們刷新對該主題的知識。

特點
- 包含實分析的基本和必要主題
- 採用合理的方法使學習該主題變得更容易
- 每章結尾包含許多已解的範例和練習題
- 提供集合論基本概念的快速回顧
- 涵蓋實數系統
- 討論度量空間和完備度量空間的基本概念

Hemen Dutta is a faculty member at the Department of Mathematics, Gauhati University, India. He did his Master of Science in Mathematics, Post Graduate Diploma in Computer Application and Ph.D. in Mathematics from Gauhati University, India. He received his M.Phil in Mathematics from Madurai Kamaraj University, India. His primary research interest includes areas of mathematical analysis. He has to his credit several research papers, some book chapters and few books. He has delivered talks at different institutions and organized a number of academic events. He is a member of several mathematical societies. He has also been a resource person in training programmes for school students and teachers and delivered popular talks. He has authored several newspaper and popular articles in science education, research, etc. He has served the Assam Academy of Mathematics as joint-secretary (honorary) for two years.

P.N. Natarajan is Dr. Radhakrishnan Awardee for the Best Teacher in Mathematics for the year 1990-91 by the Govt. of TamilNadu, India. He has been working as an independent researcher in Mathematics since his retirement in 2004, as Professor and Head, Dept. of Mathematics, Ramakrishna Mission Vivekananda College, Chennai, India. He received his Ph.D. in Analysis from the University of Madras in 1980. He has to his credit over 100 research papers published in several reputed national and international journals. He has authored 3 books (one of them 2 editions) and contributed a chapter to each of 2 edited volumes, published by Springer, Taylor-Francis and Wiley. Dr. Natarajan's research interest includes Summability Theory and Functional Analysis, both Classical and Ultrametric. Besides visiting institutes of repute in Canada, France, Holland and Greece on invitation, he has participated in several international conferences and has chaired sessions.

Yeol Je Cho is an Emeritus Professor at Department of Mathematics Education, Gyeongsang National University, Jinju, Korea, and a Distinguished Professor at School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, China. Also, he is a Fellow of the Korean Academy of Science and Technology, Seoul, Korea, since 2006, and a member of several mathematical Societies. He received his Bachelor´s Degree, Master's Degree, Ph.D. in Mathematics from Pusan National University, Pusan, Korea, and, in 1988, he was a Post-Doctor Fellow in Department of Mathematics, Saint Louis University, Saint Louis, USA. He is an Organizer of the International Conference on Nonlinear Functional Analysis and Applications, some Workshops and Symposiums on Nonlinear Analysis and Applications and Members of the Editorial Boards of 10 more International Journals of Mathematics. He has published 350 more papers and some book chapters, 20 more Monographs and 10 more Books in CRC, Taylor & Francis, Springer, Nova Science Publishers, New York, USA. His research areas are Nonlinear Analysis and Applications, especially, fixed point theory and applications, some kinds of nonlinear problems, that is, equilibrium problems, variational inequality problems, saddle point problems, optimization problems, inequality theory and applications, stability of functional equations and applications. He delivered many Invited Talks at many International Conferences on Nonlinear Analysis and Applications, which have been opened in many countries.

Hemen Dutta 是印度高哈提大學數學系的教職員。他在高哈提大學獲得數學碩士學位、計算機應用研究生文憑及數學博士學位。他在印度馬杜賴卡馬拉吉大學獲得數學碩士學位（M.Phil）。他的主要研究興趣包括數學分析領域。他發表了多篇研究論文、幾個書章以及幾本書籍。他在不同機構發表過演講並組織了多個學術活動。他是幾個數學學會的成員。他也曾在學校學生和教師的培訓計劃中擔任資源人員並進行普及講座。他撰寫了多篇有關科學教育、研究等的報紙和普及文章。他曾擔任阿薩姆數學學院的聯合秘書（榮譽）兩年。

P.N. Natarajan 是印度泰米爾納德邦政府於1990-91年度頒發的最佳數學教師拉達克里希南獎得主。自2004年退休以來，他一直作為獨立數學研究者工作，曾任印度金奈拉馬克里希納使命維韋卡南達學院數學系教授及系主任。他於1980年在馬德拉斯大學獲得分析學博士學位。他發表了超過100篇研究論文，這些論文刊登於多個知名的國內外期刊。他著作了3本書（其中一本有2個版本），並為由Springer、Taylor-Francis和Wiley出版的2本編輯卷貢獻了一章。Natarajan博士的研究興趣包括可求和理論和函數分析，涵蓋古典和超度量兩個方面。除了應邀訪問加拿大、法國、荷蘭和希臘的知名機構外，他還參加了多個國際會議並擔任會議主席。

Yeol Je Cho 是韓國慶尚國立大學數學教育系的名譽教授，以及中國四川省成都電子科技大學數學科學學院的特聘教授。此外，自2006年以來，他還是韓國科學技術院的院士，並且是幾個數學學會的成員。他在韓國釜山國立大學獲得學士學位、碩士學位及數學博士學位，並於1988年在美國聖路易斯大學數學系擔任博士後研究員。他是國際非線性函數分析及應用會議的組織者，並參與了一些非線性分析及應用的研討會和座談會，還是10多本國際數學期刊的編輯委員會成員。他已發表350多篇論文和一些書章，還有20多本專著及10多本書籍，出版於CRC、Taylor & Francis、Springer、Nova Science Publishers等。其研究領域包括非線性分析及應用，特別是不動點理論及其應用、各類非線性問題，如均衡問題、變分不等式問題、鞍點問題、優化問題、不等式理論及其應用、函數方程的穩定性及其應用。他在多個國際會議上就非線性分析及應用發表了多場邀請講座，這些會議在多個國家舉行。