Applied Analysis: Mathematics For Science, Technology, Engineering (Third Edition)

This book is a new edition of Applied Analysis, including fundamental materials of applied and theoretical sciences, recent developments in pure and applied mathematics, and advanced level materials such as integration of ODEs, inverse Strum Liouville problems, interface vanishing of the Maxwell system, method of gradient inequality, diffusion geometry, and mathematical oncology. It also includes corrected and extended descriptions on the analysis of Smoluchowski-Poisson equation in two space dimensions.

Format: Hardback
Length: 688 pages
Publication date: 14 June 2022
Publisher: World Scientific Publishing Co Pte Ltd

This book is a groundbreaking new edition of Applied Analysis, designed to meet the evolving needs of society and the latest advancements in pure and applied mathematics. It encompasses a wide range of fundamental materials that are crucial for applied and theoretical sciences, including recent developments in mathematical modelling, Riemann geometry, engineering and modern mathematics, optimization, and real analysis.

For those seeking a deeper understanding, the book offers advanced level materials such as the integration of ODEs, inverse Strum Liouville problems, interface vanishing of the Maxwell system, method of gradient inequality, diffusion geometry, mathematical oncology, and a comprehensive analysis of the Smoluchowski-Poisson equation in two space dimensions. These advanced topics are carefully revised and extended to ensure a precise understanding of the quantized blowup mechanism, particularly in cases involving finite time blowup solutions with potential collisions of sub-collapses and infinite time blowup solutions without collisions.

With its extensive coverage and rigorous approach, this book is an essential resource for researchers, scholars, and students in the fields of applied analysis, mathematical sciences, and engineering. It will empower readers to stay at the forefront of their disciplines and contribute to the ongoing progress of knowledge.

ISBN-13: 9789811257353