Applied Analysis: Mathematics For Science, Technology, Engineering (third Edition) - Softcover

Suzuki, Takashi

Softcover

ISBN 10: 9819820391 ISBN 13: 9789819820399

Publisher: WSPC, 2022

Synopsis

This book is to be a new edition of Applied Analysis. Several fundamental materials of applied and theoretical sciences are added, which are needed by the current society, as well as recent developments in pure and applied mathematics. New materials in the basic level are the mathematical modelling using ODEs in applied sciences, elements in Riemann geometry in accordance with tensor analysis used in continuum mechanics, combining engineering and modern mathematics, detailed description of optimization, and real analysis used in the recent study of PDEs. Those in the advance level are the integration of ODEs, inverse Strum Liouville problems, interface vanishing of the Maxwell system, method of gradient inequality, diffusion geometry, mathematical oncology. Several descriptions on the analysis of Smoluchowski-Poisson equation in two space dimension are corrected and extended, to ensure quantized blowup mechanism of this model, particularly, the residual vanishing both in blowup solution in finite time with possible collision of sub-collapses and blowup solutions in infinite time without it.

Edition details

• Publisher: WSPC
• Publication date: 2022
• Language: English
• ISBN 10: 9819820391
• ISBN 13: 9789819820399
• Binding: Paperback
• Number of pages: 688