Book (Practical) Mathematics Refurbished and revised edition Lebesgue Integral 30 Lectures / Koji Shiga

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Mathematics
[Introduction to the Contents]
0 A long-selling book published in 1990 was renewed to an easy-to-read edition.
0 A book that is best suited for beginners, which explains from familiar events and gives a solid image to the foundations of abstract modern mathematics.
○ "I want to remove as much as possible its formal and logical framework from the Lebesgue integral, and give a clear image to the foundations of abstract modern mathematics." (From Hashigaki)
Article 1 The expanding limit
Article 2 The length of on the number line
Article 3 The aspect of full additivity on a straight line
Article 4 Ordinary area concept - Jordan measure
Article 5 The outer measure of Lebesgue
Article 6 The inner measure of Lebesgue
Article 7 Measurable set - Lebesgue concept
Article 8 The outer measure of Lebesgue
Article 9 The outer measure of Lebesgue
Article 10 Measurable set - Concept of Lebesgue
Article 11 The measure space
Article 12 The outer measure of Lebesgue
Article 10 Measurable set - Concept of Lebesgue
Article 11 The measure space
Article 12 The outer measure of Lebesgue
Article 10 Measurable set - Concept of Lebesgue
Article 11 The measure space
Article 12 The outer measure of Lebesgue
Article 13 The periphery of measurable set
The light and shadow of the theory of measures
Article 15 Riemann integral 110
Article 16 The outer measure of Lebesgue
Article 11 The measure space
Article 16 The outer measure of Lebesgue
Article 19 The basic theorem of integration
Article 20 The fundamental theorem of integration
Article 23 The space created by integrable function
Article 24 L2-space
Article 26 Radon and Nico Dimou theorem
Vitali Zestovskih