Engineering Mathematics 2
 |
Description
Book Introduction
This 『Engineering Mathematics』 is by Dennis G.
This book is a Korean edition of 『Advanced Engineering Mathematics, 7th edition』 written by Zill.
(Chapters 12-20 included in Volume II) Engineering mathematics is traditionally composed of mathematics necessary for understanding various fields of physics that form the basis of engineering, especially mechanics (statics, dynamics, structural mechanics, fluid mechanics, thermodynamics, etc.) and electromagnetism.
Differential equations, vector analysis, linear algebra, Fourier series, complex analysis, and numerical analysis presented in this textbook will generally fall into this category.
For students just starting out in engineering, it may seem boring at first, but if you learn it well, it will be as useful as a Swiss Army knife in your current major and the jungle-like workplace of the future.
The unique feature of this book is that it properly places and systematically and kindly explains many problems that are familiar to us but are easily overlooked in mathematical subjects.
This arouses the reader's curiosity and allows them to easily participate in the analysis.
Additionally, it is highly recommended as a textbook because it maintains an easy-to-read structure that excludes unnecessary details.
This book is a Korean edition of 『Advanced Engineering Mathematics, 7th edition』 written by Zill.
(Chapters 12-20 included in Volume II) Engineering mathematics is traditionally composed of mathematics necessary for understanding various fields of physics that form the basis of engineering, especially mechanics (statics, dynamics, structural mechanics, fluid mechanics, thermodynamics, etc.) and electromagnetism.
Differential equations, vector analysis, linear algebra, Fourier series, complex analysis, and numerical analysis presented in this textbook will generally fall into this category.
For students just starting out in engineering, it may seem boring at first, but if you learn it well, it will be as useful as a Swiss Army knife in your current major and the jungle-like workplace of the future.
The unique feature of this book is that it properly places and systematically and kindly explains many problems that are familiar to us but are easily overlooked in mathematical subjects.
This arouses the reader's curiosity and allows them to easily participate in the analysis.
Additionally, it is highly recommended as a textbook because it maintains an easy-to-read structure that excludes unnecessary details.
index
Part 4 Fourier Series and Partial Differential Equations
Chapter 12 Orthogonal Functions and Fourier Series
12.1 Orthogonal functions
12.2 Fourier series
12.3 Fourier cosine and sine series
12.4 Complex Fourier series
12.5 Sturm-Liouville problem
12.6 Bessel and Legendre series
Chapter 12 Review Questions
Chapter 13 Boundary Value Problems in Cartesian Coordinate Systems
13.1 Separable Partial Differential Equations
13.2 Classical Partial Differential Equations and Boundary Value Problems
13.3 Heat Conduction Equation
13.4 Wave equation
13.5 Laplace's equation
13.6 Nonhomogeneous equations and boundary conditions
13.7 Orthogonal series expansion
13.8 Two-variable Fourier series
Chapter 13 Review Questions
Chapter 14 Boundary Value Problems in Other Coordinate Systems
14.1 Polar coordinates
14.2 Cylindrical coordinate system
14.3 Spherical coordinate system
Chapter 14 Review Questions
Chapter 15 Integral Transformation Method
15.1 Error function
15.2 Laplace transform
15.3 Fourier integral
15.4 Fourier transform
15.5 Finite Fourier Transform
15.6 Fast Fourier Transform
Chapter 15 Review Questions
Chapter 16 Numerical Solutions of Partial Differential Equations
16.1 Laplace's equation
16.2 Heat equation
16.3 Wave equation
Chapter 16 Review Questions
Part 5 Complex Analysis
Chapter 17 Complex Functions
17.1 Complex numbers
17.2 Powers and Roots
17.3 Set of complex numbers
17.4 Complex functions
17.5 Cauchy-Riemann equation
17.6 Exponential and Logarithmic Functions
17.7 Trigonometric and Hyperbolic Functions
17.8 Inverse trigonometric and inverse hyperbolic functions
Chapter 17 Review Questions
Chapter 18 Integration in the Complex Plane
18.1 Path integral
18.2 Cauchy-Goursat theorem
18.3 Path Independence
18.4 Cauchy's integral formula
Chapter 18 Review Questions
Chapter 19 Water Supply and Flow
19.1 Sequences and Series
19.2 Taylor series
19.3 Laurent series
19.4 Zeros and Poles
19.5 Flow Theorem
19.6 Calculation of performance
Chapter 19 Review Questions
Chapter 20 Conformal Mapping
20.1 Complex functions as ideas
20.2 Conformal mapping
20.3 Linear Fraction Conversion
20.4 Schwarz-Christoffel Transformation
20.5 Poisson integral formula
20.6 Applications
Chapter 20 Review Questions
Appendix
Appendix A.
Function defined through integration
Appendix B.
Derivative and integral formulas
Appendix C.
Laplace transformation table
Appendix D.
isometric projections
Search
Answer to selected odd-numbered questions
Chapter 12 Orthogonal Functions and Fourier Series
12.1 Orthogonal functions
12.2 Fourier series
12.3 Fourier cosine and sine series
12.4 Complex Fourier series
12.5 Sturm-Liouville problem
12.6 Bessel and Legendre series
Chapter 12 Review Questions
Chapter 13 Boundary Value Problems in Cartesian Coordinate Systems
13.1 Separable Partial Differential Equations
13.2 Classical Partial Differential Equations and Boundary Value Problems
13.3 Heat Conduction Equation
13.4 Wave equation
13.5 Laplace's equation
13.6 Nonhomogeneous equations and boundary conditions
13.7 Orthogonal series expansion
13.8 Two-variable Fourier series
Chapter 13 Review Questions
Chapter 14 Boundary Value Problems in Other Coordinate Systems
14.1 Polar coordinates
14.2 Cylindrical coordinate system
14.3 Spherical coordinate system
Chapter 14 Review Questions
Chapter 15 Integral Transformation Method
15.1 Error function
15.2 Laplace transform
15.3 Fourier integral
15.4 Fourier transform
15.5 Finite Fourier Transform
15.6 Fast Fourier Transform
Chapter 15 Review Questions
Chapter 16 Numerical Solutions of Partial Differential Equations
16.1 Laplace's equation
16.2 Heat equation
16.3 Wave equation
Chapter 16 Review Questions
Part 5 Complex Analysis
Chapter 17 Complex Functions
17.1 Complex numbers
17.2 Powers and Roots
17.3 Set of complex numbers
17.4 Complex functions
17.5 Cauchy-Riemann equation
17.6 Exponential and Logarithmic Functions
17.7 Trigonometric and Hyperbolic Functions
17.8 Inverse trigonometric and inverse hyperbolic functions
Chapter 17 Review Questions
Chapter 18 Integration in the Complex Plane
18.1 Path integral
18.2 Cauchy-Goursat theorem
18.3 Path Independence
18.4 Cauchy's integral formula
Chapter 18 Review Questions
Chapter 19 Water Supply and Flow
19.1 Sequences and Series
19.2 Taylor series
19.3 Laurent series
19.4 Zeros and Poles
19.5 Flow Theorem
19.6 Calculation of performance
Chapter 19 Review Questions
Chapter 20 Conformal Mapping
20.1 Complex functions as ideas
20.2 Conformal mapping
20.3 Linear Fraction Conversion
20.4 Schwarz-Christoffel Transformation
20.5 Poisson integral formula
20.6 Applications
Chapter 20 Review Questions
Appendix
Appendix A.
Function defined through integration
Appendix B.
Derivative and integral formulas
Appendix C.
Laplace transformation table
Appendix D.
isometric projections
Search
Answer to selected odd-numbered questions
GOODS SPECIFICS
- Publication date: February 28, 2022
- Page count, weight, size: 400 pages | 215*275*30mm
- ISBN13: 9791191679083
- ISBN10: 119167908X
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