化学工程师应用数学与建模 第3版 Applied Mathematics And Modeling For Chemical Engineers, Third Edition

基本信息

Format:Hardback 432 pages

Publisher:John Wiley & Sons Inc

Imprint:John Wiley & Sons Inc

Edition:3 ed

ISBN:9781119833857

Published:18 Apr 2023

Weight:1256g

Dimensions:283 x 221 x 30 (mm)

页面参数仅供参考，具体以实物为准

书籍简介

通过本新介绍了解应用数学的基础知识

应用数学是将数学概念和方法应用于各种应用或实践领域，包括工程、计算机科学等。随着工程科学的发展，利用数学原理解决和理解方程的能力已成为工程领域越来越重要的组成部分。新的工程流程和材料对新一代工程师提出了越来越高的数学要求，他们越来越多地将应用数学视为扩展工具包。

《化学工程师应用数学与建模》以全面且易于理解的介绍形式提供了此工具包。它将现代数学的经典分析与更现代的应用相结合，提供了评估和解决化学工程数学问题所需的一切。本指南现已更新以反映当代实践和新颖的应用，承诺将读者置于 21 世纪化学工程领域，在这个领域，直接掌握数学知识至关重要。

《化学工程师应用数学与建模》第三版的读者还将发现：

·对常微分方程 (ODE) 和偏微分方程 (PDE) 及其解的详细处理

·有关近似解法（如扰动技术和基本数值解）的新材料

·两章新内容涉及线性代数和应用统计学

·《化学工程师应用数学与建模》非常适合化学工程及相关领域的研究生和高年级本科生，以及寻求便捷参考的教师和研究人员。

Understand the fundamentals of applied mathematics with this up-to-date introduction

Applied mathematics is the use of mathematical concepts and methods in various applied or practical areas, including engineering, computer science, and more. As engineering science expands, the ability to work from mathematical principles to solve and understand equations has become an ever more critical component of engineering fields. New engineering processes and materials place ever-increasing mathematical demands on new generations of engineers, who are looking more and more to applied mathematics for an expanded toolkit.

Applied Mathematics and Modeling for Chemical Engineers provides this toolkit in a comprehensive and easy-to-understand introduction. Combining classical analysis of modern mathematics with more modern applications, it offers everything required to assess and solve mathematical problems in chemical engineering. Now updated to reflect contemporary best practices and novel applications, this guide promises to situate readers in a 21st century chemical engineering field in which direct knowledge of mathematics is essential.

Readers of the third edition of Applied Mathematics and Modeling for Chemical Engineers will also find:

Detailed treatment of ordinary differential equations (ODEs) and partial differential equations (PDEs) and their solutions

New material concerning approximate solution methods like perturbation techniques and elementary numerical solutions

Two new chapters dealing with Linear Algebra and Applied Statistics

Applied Mathematics and Modeling for Chemical Engineers is ideal for graduate and advanced undergraduate students in chemical engineering and related fields, as well as instructors and researchers seeking a handy reference.

作者简介

Richard G. Rice 博士是美国路易斯安那州立大学化学工程系名誉教授。

Duong D. Do 博士是澳大利亚昆士兰大学化学工程学院名誉教授。

James E. Maneval 博士是美国宾夕法尼亚州刘易斯堡巴克内尔大学化学工程系教授。

Richard G. Rice, PhD is Emeritus Professor in the Department of Chemical Engineering at Louisiana State University, Baton Rouge, LA, USA.

Duong D. Do, PhD is Emeritus Professor in the School of Chemical Engineering at the University of Queensland, Australia.

James E. Maneval, PhD is Professor in the Department of Chemical Engineering at Bucknell University, Lewisburg, PA, USA.

部分目录，仅供参考

Preface to the Third Edition xv

Part I 1

1 Formulation of Physicochemical Problems 3

1.1 Introduction 3

1.2 Illustration of the Formulation Process (Cooling of Fluids) 3

1.2.1 Model I: Plug Flow 3

1.2.2 Model II: Parabolic Velocity 6

1.3 Combining Rate and Equilibrium Concepts (Packed-Bed Adsorber) 7

1.4 Boundary Conditions and Sign Conventions 8

1.5 Summary of the Model Building Process 9

1.6 Model Hierarchy and its Importance in Analysis 10

1.6.1 Level 1 10

1.6.2 Level 2 11

1.6.3 Level 3 13

1.6.4 Level 4 13

Problems 15

References 20

2 Modeling with Linear Algebra and Matrices 21

2.1 Introduction 21

2.2 Basic Concepts of Systems of Linear Equations 21

2.3 Matrix Notation 22

2.3.1 Matrices 22

2.3.2 Vectors 22

2.3.3 Scalars 22

2.3.4 Matrices and Vectors with Special Structure 22

2.4 Matrix Algebra and Calculus Operations 24

2.4.1 Equality 24

2.4.2 Addition and Subtraction 24

2.4.3 Multiplication 24

2.4.4 Division 26

2.4.5 Further Algebraic Properties of Matrices 27

2.4.6 Basic Differential and Integral Relations for Matrices 28

2.5 Problem 1: Solution of N Equations in N Unknowns 29

2.5.1 Analytical Results 29

2.5.2 Computational Approach: Gauss Elimination 30

2.6 Problem 2: The Matrix Eigenvalue Problem 32

2.6.1 Problem Statement and Formal Solution 32

2.6.2 Computing Eigensystems: Basic Procedure 33

2.7 Singular Systems 34

2.7.1 Consistent and Inconsistent Systems 34

2.7.2 Solution Structure for Consistent Systems 35

2.7.3 Formulation and Characteristics of Non-Square Problems 36