应用分析：数学在科学、技术、工程中的应用（第三版） Applied Analysis: Mathematics For Science, Technology, Engineering (Third Edition) 英文原版 Takashi Suzuki
基本信息
Format Hardback | 688 pages
Dimensions 152.4 x 228.6 x 36.58mm | 1,079.55g
Publication date 14 Jun 2022
Publisher World Scientific Publishing Co Pte Ltd
Publication City/Country Singapore, Singapore
Language English
ISBN10 9811257353
ISBN13 9789811257353
书籍信息仅供参考，具体以实物为准
书籍简介
本书将成为《应用分析》的新版本。本书增加了一些应用和理论科学的基本材料，这些材料是当前社会所需要的，同时也是纯数学和应用数学的新发展。基础阶段的新材料是应用科学中使用ODE的数学建模，根据连续力学中使用的张量分析的黎曼几何元素，结合工程和现代数学，优化的详细描述，以及近日研究PDEs中使用的实分析。处于高级阶段的是ODEs的整合、逆Strum Liouville问题、麦克斯韦系统的界面消失、梯度不等式方法、扩散几何、数学肿瘤学。关于二空间维度的Smoluchowski-Poisson方程分析的一些描述被修正和扩展，以确保该模型的量化爆破机制，特别是在有限时间内有可能碰撞的子坍缩的爆破解和无限时间内没有碰撞的爆破解中的残差消失。
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.
作者简介
铃木孝，教授。应用分析，250多篇论文和10本英文专著。数学肿瘤学的创始人。微分积分方程》、《皇家学会科学杂志》等的相关编辑。
Takashi Suzuki, Professor. Applied Analysis, more than 250 papers and 10 English monographs. Founder of Mathematical Oncology. Associated Editors of Differential Integral Equations, Royal Society Open Science Journal, etc.
