Frontiers In Interpolation And Approximation
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Frontiers in Interpolation and Approximation
Dedicated to the well-respected research mathematician Ambikeshwar Sharma, Frontiers in Interpolation and Approximation explores approximation theory, interpolation theory, and classical analysis. Written by authoritative international mathematicians, this book presents many important results in classical analysis, wavelets, and interpolati
Progress in Approximation Theory and Applicable Complex Analysis
Current and historical research methods in approximation theory are presented in this book beginning with the 1800s and following the evolution of approximation theory via the refinement and extension of classical methods and ending with recent techniques and methodologies. Graduate students, postdocs, and researchers in mathematics, specifically those working in the theory of functions, approximation theory, geometric function theory, and optimization will find new insights as well as a guide to advanced topics. The chapters in this book are grouped into four themes; the first, polynomials (Chapters 1 –8), includes inequalities for polynomials and rational functions, orthogonal polynomials, and location of zeros. The second, inequalities and extremal problems are discussed in Chapters 9 –13. The third, approximation of functions, involves the approximants being polynomials, rational functions, and other types of functions and are covered in Chapters 14 –19. The last theme, quadrature, cubature and applications, comprises the final three chapters and includes an article coauthored by Rahman. This volume serves as a memorial volume to commemorate the distinguished career of Qazi Ibadur Rahman (1934–2013) of the Université de Montréal. Rahman was considered by his peers as one of the prominent experts in analytic theory of polynomials and entire functions. The novelty of his work lies in his profound abilities and skills in applying techniques from other areas of mathematics, such as optimization theory and variational principles, to obtain final answers to countless open problems.
The Mathematical Frontier: Unlocking the Labyrinth of Engineering Problems
Author: Pasquale De Marco
language: en
Publisher: Pasquale De Marco
Release Date: 2025-05-22
In a world driven by technological advancements and complex engineering feats, "The Mathematical Frontier: Unlocking the Labyrinth of Engineering Problems" emerges as an indispensable guide for aspiring engineers and problem-solvers. This comprehensive volume unveils the profound impact of mathematics in shaping the landscape of modern engineering, empowering readers to navigate the intricacies of real-world challenges with confidence and ingenuity. Delving into the depths of mathematical concepts, this book provides a comprehensive foundation in algebra, trigonometry, calculus, and linear algebra, tailored specifically for engineering applications. Through engaging explanations, illustrative examples, and thought-provoking exercises, readers will gain a deep understanding of the underlying principles that govern engineering systems and processes. More than just a theoretical exploration, "The Mathematical Frontier" emphasizes the practical applications of mathematics in diverse engineering disciplines. Case studies drawn from across fields such as civil engineering, mechanical engineering, electrical engineering, and computer science showcase the transformative power of mathematical tools in solving real-world problems. Aspiring engineers will find this book an invaluable resource, providing a solid foundation in the mathematical principles that underpin their chosen field. Seasoned engineers will discover new perspectives and innovative approaches to problem-solving, expanding their skillset and enhancing their ability to tackle complex engineering challenges. For those intrigued by the intersection of mathematics and engineering, "The Mathematical Frontier" offers a captivating journey into the realm of problem-solving and innovation. Its engaging writing style and accessible explanations make it an enjoyable read for anyone seeking to deepen their understanding of the mathematical foundations that drive the modern world. With its comprehensive coverage, practical focus, and inspiring examples, "The Mathematical Frontier" is the ultimate guide for engineers, aspiring engineers, and anyone seeking to master the art of problem-solving through the power of mathematics. If you like this book, write a review on google books!