Applied Analysis: Mathematics For Science, Technology, Engineering (Third Edition)
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A01=Takashi Suzuki
Adjoint Gradient Method
Author_Takashi Suzuki
Blowup of The Solution
Bmo
Boltzmann Equation
Calculus of Variation
Category=PBK
Classical Mechanics
Co-variant Derivative
Competitive System
Connections
Constraint
Convex Analysis
Curved Coordinate
Curves
Differential Form
Distributions
Div-Rot Lemma
Drift-Diffusion Model
Duality Theorem
Dynamical Systems
Eigenvalue Problem
Einstein's Formula
Energy Method
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Finite Difference Method
Finite Element Method
Fourier Analysis
Free Energy
Gaussian Kernel
Gel'fand Triple
Gradient Method
Gradient Systems
Graph Theory
Green Function
Hamilton Systems
Harmonic Function
Heart Beating Model
Heat Equation
Hilbert Schmidt Operator
Hilbert Space
Immunity Model
Infection Model
Integral Formulae
Invasion Model of Cancer
Inverse Scattering Theory
Isoperimetric Inequality
Jost Solution
Keller-Segel Model
Layer Potential
Linear and Nonlinear Equations
Linear Programming
Manifold
Mass Action
Master Equation
Material Derivative
Mathematical Modelling
Matrix Game
Mean Filed Limit
Minimax Principle
Moser's Iteration Scheme
Multiscale Model
Nerve Impulse Transmission
Newton Method
Newton Potential
Optimization
Ortho-Normal Frames
Poisson Furmula
Population
Prey-Predator System
Quantized Blowup Mechanism
Rescaling
Riemann Metric
Riemann Surface
Scattering Theory
Schauder Regularity
Self-Adjoint Operator
Self-Resolution
Self-Similar Transformation
Semigroup
Semilinear Heat Equation
Smoluchowski-Poisson Equation
Sobolev Space
Solid Deformation
Statistical Inference
Surfaces
System of Chemotaxis
Tangent and Co-tangent Spaces
Tensors
Transport Equation
Unique Solvability
Vector Analysis
Viscous Fluids
Product details
- ISBN 9789811257353
- Publication Date: 14 Jun 2022
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
