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Riemann Integration and Series of Functions

By Biswajit Saha

Riemann Integration and Series of Functions

By Biswajit Saha

0 - Default Title
Description
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.
Product details
Binding:
Paperback
Number of Pages:
148
Release Date:
2025-10-23
Publication Date:
2025-10-23
Publisher:
LAP LAMBERT Academic Publishing
Languages:
Original: English
ISBN10:
6209122892
ISBN13:
9786209122897
Weight:
238 g
Height:
150 cm
Width:
220 cm
Thickness:
9 cm
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