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· 제목 : The Big Book of Real Analysis: From Numbers to Measures (Hardcover, 2023) 
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 수리분석
· ISBN : 9783031308314
· 쪽수 : 900쪽
· 분류 : 외국도서 > 과학/수학/생태 > 수학 > 수리분석
· ISBN : 9783031308314
· 쪽수 : 900쪽
목차
Preface.- 1. Logic and Sets.- 2. Integers.- 3. Construction of the Real Numbers.- 4. The Real Numbers.- 5. Real Sequences.- 6. Some Applications of Real Sequences.- 7. Real Series.- 8. Additional Topics in Real Series.- 9. Functions and Limits.- 10. Continuity.- 11. Function Sequences and Series.- 12. Power Series.- 13. Differentiation.- 14. Some Applications of Differentiation.- 15. Riemann and Darboux Integration.- 16. The Fundamental Theorem of Calculus.- 17. Taylor and MacLaurin Series.- 18. Introduction to Measure Theory.- 19. Lebesgue Integration.- 20. Double Integrals.- Solutions to the Exercises.- Bibliography.- Index.
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