Name: Selected Topics on Generalized Integration (en Inglés)
SKU: 64343495
Price: 134.49 USD
Availability: InStock
Author: Hemanta Kalita Anca Croito Tin Lam Toh

portada Selected Topics on Generalized Integration (en Inglés)

Selected Topics on Generalized Integration (en Inglés)

Formato

Libro Físico

Editorial

World Scientific Pub Co Inc

Autor

Hemanta Kalita Anca Croito Tin Lam Toh

Idioma

Inglés

N° páginas

300

Encuadernación

Tapa Dura

ISBN13

9789819812196

Selected Topics on Generalized Integration (en Inglés)

Hemanta Kalita Anca Croito Tin Lam Toh (Autor) · World Scientific Pub Co Inc · Tapa Dura

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Reseña del libro "Selected Topics on Generalized Integration (en Inglés)"

This comprehensive volume offers an in-depth exploration of advanced integration theories, extending beyond classical methods to unify and expand the field. Building on the foundational work of Jaroslav Kurzweil and Ralph Henstock, the book delves into the Henstock-Kurzweil and McShane gauge integrals, presenting a more intuitive and versatile alternative to the traditional Lebesgue integral. By bridging gaps in existing literature, the authors provide a rigorous treatment of integration on metric measure spaces, exploring critical concepts such as completeness, compactness, and Cousin's lemma.The book systematically introduces advanced topics, including the variational Henstock integral in locally convex spaces, the Riemann-Lebesgue integral for vector-valued functions, and generalizations of the Sugeno integral. Further chapters explore convergence in Banach spaces on time scales, set-valued integrals, and applications to harmonic analysis and partial differential equations, including solutions to the heat equation in distribution spaces.Notably, the text presents innovative approaches like the symmetric Laplace integral and the q-Homotopy Analysis Method for solving nonlinear integral equations, offering practical tools for modern analysis. Unified integral representations for generalized Mittag-Leffler functions further highlight the book's engagement with special functions.Ideal for researchers and advanced students in mathematical analysis, this book seamlessly integrates classical theories with modern advancements, offering both theoretical insights and practical applications across mathematics, physics, and engineering.