Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Riemann Integration and Series of Functions

Riemann Integration and Series of Functions

Saha, Biswajit

Paperback

General Mathematics

ISBN10: 6209122892
ISBN13: 9786209122897
Publisher: LAP Lambert Academic Publishing
Published: Oct 23 2025
Pages: 148
Weight: 0.46
Height: 0.34 Width: 6.00 Depth: 9.00
Language: English
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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