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Riemann Integration and Series of Functions by Biswajit Saha

Riemann Integration and Series of Functions

by Biswajit Saha
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Book cover type: Paperback
  • ISBN13: 9786209122897
  • Binding: Paperback
  • Subject: N/A
  • Publisher: LAP Lambert Academic Publishing
  • Publisher Imprint: LAP Lambert Academic Publishing
  • Publication Date:
  • Pages: 148
  • Original Price: GBP 59.94
  • Language: English
  • Edition: N/A
  • Item Weight: 209 grams
  • BISAC Subject(s): General

The book Riemann Integration and Series of Functions presents a rigorous introduction to two central areas of real analysis - the Riemann integral and the convergence of functions. It begins with the definition of Riemann sums and integrability, explaining how the area under a curve can be approximated and formalized. The equivalence of Riemann and Darboux integrals, along with key results like the integrability of continuous and monotonic functions and the Fundamental Theorem of Calculus, are discussed in detail.The second part explores sequences and series of functions, focusing on pointwise and uniform convergence, their impact on continuity and differentiability, and criteria like the Weierstrass M-test. Applications to power and Fourier series illustrate practical significance. Overall, the book provides a solid foundation in rigorous analysis, bridging basic calculus with advanced mathematical theory through clear explanations and logical proofs.

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