Name: Riemann Integration and Series of Functions (en Inglés)
SKU: 66270114
Price: 1481.31 MXN
Availability: InStock
Author: Saha, Biswajit
ISBN: 9786209122897

portada Riemann Integration and Series of Functions (en Inglés)

Riemann Integration and Series of Functions (en Inglés)

Formato

Libro Físico

Editorial

LAP Lambert Academic Publishing

Autor

Saha, Biswajit

Idioma

Inglés

N° páginas

148

Encuadernación

Tapa Blanda

Dimensiones

22.9x15.2x0.9 cm

ISBN13

9786209122897

Riemann Integration and Series of Functions (en Inglés)

Saha, Biswajit (Autor) · LAP Lambert Academic Publishing · Tapa Blanda

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Reseña del libro "Riemann Integration and Series of Functions (en Inglés)"

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.