基本信息出版社:Jones and Bartlett Publishers
页码:1000 页
出版日期:2006年02月
ISBN:0763739146
条形码:9780763739140
装帧:平装
正文语种:英语
内容简介
Thoroughly updated, Zill's Advanced Engineering Mathematics, Third Edition is a compendium of many mathematical topics for students planning a career in engineering or the sciences. A key strength of this text is Zill's emphasis on differential equations as mathematical models, discussing the constructs and pitfalls of each. The Third Edition is comprehensive, yet flexible, to meet the unique needs of various course offerings ranging from ordinary differential equations to vector calculus. Numerous new projects contributed by esteemed mathematicians have been added. Visit the link below to gain access to a sample project!
Thoroughly updated to prepare engineers and scientists with the mathematical skills required to meet modern technological challenges.
Added Projects - Numerous NEW engineering and science projects, contributed by top mathematicians, have been added and are tied to key mathematical topics in the text.
Crisp New Design - The larger trim size and new, two-color design enhances students understanding of the mathematics at hand and make the text a pleasure to read and learn from
Flexibility - Divided into five major parts, the text's flexibility allows instructors to customize the text to fit their own needs. The first eight chapters are ideal for a complete short course in ordinary differential equations.
The Gram-Schmidt orthogonalization process has been added in Chapter 7 and is used in subsequent chapters.
作者简介 Dennis G. Zill, Loyola Marymount University
He received a Ph.D. in applied mathematics from Iowa State University and is currently professor of mathematicss and former chair of the mathematics department at Loyola Marymount University in Los Angeles. Zill's research interests include Applied Mathematics, Special Functions, and Integral Transforms.
Michael R. Cullen, Late - Loyola Marymount University
目录
Part I Ordinary Differential Equations
Chapter 1 Introduction to Differential Equations
Chapter 2 First-Order Differential Equations
Chapter 3 Higher-Order Differential Equations
Chapter 4 The Laplace Transform
Chapter 5 Series Solutions of Linear Differential Equations
Chapter 6 Numerical Solutions of Ordinary Differential Equations
Part II Vectors, Matrices, and Vector Calculus
Chapter 7 Vectors
Chapter 8 Matrices
Chapter 9 Vector Calculus
Part III Systems of Differential Equations
Chapter 10 Systems of Linear Differential Equations
Chapter 11 Systems of Nonlinear Differential Equations
Part IV Fourier Series and Partial Differential Equations
Chapter 12 Orthogonal Functions and Fourier Series
Chapter 13 Boundary-Value Problems in Rectangular Coordinates
Chapter 14 Boundary-Value Problems in Other Coordinate Systems
Chapter 15 Integral Transform Method
Chapter 16 Numerical Solutions of Partial Differential Equations
Part V Complex Analysis
Chapter 17 Functions of a Complex Variable
Chapter 18 Integration in the Complex Plane
Chapter 19 Series and Residues
Chapter 20 Conformal Mappings and Applications
Appendices
I Some Derivative and Integral Formulas
II Gamma Function
III Table of Laplace Transforms
IV Conformal Mappings
……