This is a non-profit website run by a university professor, providing mathematics lecture videos.

It is managed and operated by Atsumasa Kondo of the Faculty of Economics, Shiga University.

For more information about my background and work as a researcher, please see ResearchMap.

This website provides a series of mathematics YouTube videos, starting from beginner university level and progressing to the level where you can read academic papers, all free of charge, including PDF lecture notes.

The PDF lecture notes are written in English; all videos are in Japanese.  

Purpose and Key Features

This site aims to strengthen individuals’ mathematical literacy and mindset, thereby contributing to global scientific advancement and the betterment of human society.

The curriculum is systematically structured to guide learners—from beginners to advanced students—toward the ability to understand scholarly research. In particular, the core lecture series (Introduction to Mathematical Analysis 1, 2, 3) is designed to provide a rigorous foundation. With dedicated study, learners can prepare themselves to actively engage in research and intellectual creation.

Available Lecture Series 

Level Guide: E: elementary,  I : Intermediate,  A: Advanced 

🔸Calculus (E)

🔸Elementary Probability Theory (E/I)

🔸Introduction to Mathematical Analysis 1 (E/I)

🔸Introduction to Mathematical Analysis 2 (E/I)

🔸Introduction to Mathematical Analysis 3 (E/I)

🔸Introduction to Mathematical Analysis - Supplementary Video Materials (E/I)

🔸Banach Contraction Principle - Its Extensions and Applications (I/A)

About Me

Atsumasa Kondo is a professor, Faculty of Economics, Shiga University, Japan.

My website for Economics is here. 

For the complete list of my academic  papers, see Research Map.

Contact Information

Atsumasa Kondo

Department of Economics, Shiga University

Banba 1-1-1, Hikone, Shiga 522-8522, Japan

e-mail：a-kondo<at>biwako.shiga-u.ac.jp

Research interests

Nonlinear analysis, Fixed point theory, Optimization, and Mathematical Economics.

Recent Papers (selected)

These include the following. All of them are open access and you can download the PDF files for free from the links provided.

・A. Kondo, “Generalized common fixed point theorem for generalized hybrid mappings in Hilbert spaces,” Demonstratio Mathematica, Vol. 55, No.1, 752-759, 2022.

・A. Kondo, “Strong convergence to common fixed points using Ishikawa and hybrid methods for mean-demiclosed mappings in Hilbert spaces,” Mathematical Modeling and Analysis, Vol. 28, Issue 2, 285-307, 2023.

・A. Kondo, “Halpern-type strong convergence theorems using a multi-step mean-valued iterative method in Hilbert spaces,” Journal of Nonlinear and Convex Analysis, Vol. 25, No. 11, 2703-2715, 2024.

・A. Kondo, “Iterative Scheme Generating Method beyond Ishikawa Iterative method,” Mathematische Annalen, Vol. 391, Issue 2, 2007-2028, 2025.

・A. Kondo, “Generating iterative schemes to locate common fixed points of nonlinear mappings using shrinking projection methods,” New York Journal of Mathematics, Vol. 31, 958-983, 2025.

Research Essays

🔸Recent Research Introduction and About Professor Wataru Takahashi

🔸Fixed Point Quest – A Mathematical RPG (Dragon Quest Style)