Muutke küpsiste eelistusi

Advanced Engineering Mathematics with MATLAB 5th edition [Kõva köide]

(US Naval Academy, Annapolis, Maryland, USA)
  • Formaat: Hardback, 616 pages, kõrgus x laius: 254x178 mm, kaal: 1480 g, 12 Tables, black and white; 142 Line drawings, black and white; 8 Halftones, black and white; 150 Illustrations, black and white
  • Sari: Advances in Applied Mathematics
  • Ilmumisaeg: 31-Dec-2021
  • Kirjastus: Chapman & Hall/CRC
  • ISBN-10: 0367624052
  • ISBN-13: 9780367624057
Teised raamatud teemal:
Advanced Engineering Mathematics with MATLAB 5th editionSuurem pilt
  • Formaat: Hardback, 616 pages, kõrgus x laius: 254x178 mm, kaal: 1480 g, 12 Tables, black and white; 142 Line drawings, black and white; 8 Halftones, black and white; 150 Illustrations, black and white
  • Sari: Advances in Applied Mathematics
  • Ilmumisaeg: 31-Dec-2021
  • Kirjastus: Chapman & Hall/CRC
  • ISBN-10: 0367624052
  • ISBN-13: 9780367624057
Teised raamatud teemal:
Püsilink: https://www.kriso.ee/db/9780367624057.html
Märksõnad:
"In the four previous editions the author presented a text firmly grounded in the mathematics that engineers and scientists must understand and know how to use. Tapping into decades of teaching at the US Navy Academy and the US Military Academy and serving for twenty-five years at (NASA) Goddard Space Flight, he combines a teaching and practical experience that is rare among authors of advanced engineering mathematics books. This edition offers a smaller, easier to read, and useful version of this classic textbook. While competing textbooks continue to grow, the book presents a slimmer, more concise option. Instructors and students alike are rejecting the encyclopedic tome with its higher and higher price aimed at undergraduates. To assist in the choice of topics included in this new edition, the author reviewed the syllabi of various engineering mathematics courses that are taught at a wide variety of schools. Due to time constraints an instructor can select perhaps 3 to 4 topics from the book, the mostlikely being ordinary differential equations, Laplace transforms, Fourier series and separation of variables to solve the wave, heat, or Laplace's equation. Laplace transforms are occasionally replaced by linear algebra or vector calculus. Sturm-Liouville problem and special functions (Legendre and Bessel functions) are included for completeness. Topics such as z-transforms and complex variables are now offered in a companion book, Advanced Engineering Mathematics: A Second Course by the same author. MATLAB is still employed to reinforce the concepts that are taught. Of course, this Edition continues to offer a wealth of examples and applications from the scientific and engineering literature, a highlight of previous editions. Worked solutions are given in the back of the book"--

This edition offers a smaller, easier to read, and useful version of this classic textbook. While competing textbooks continue to grow, the book presents a slimmer, more concise option. Instructors and students alike are rejecting the encyclopedic tome with its higher and higher price aimed at undergraduates.
Dedication v
Contents vii
Acknowledgments xiii
Author xv
Introduction xvii
List of Definitions
xix
Chapter 1 First-Order Ordinary Differential Equations
1(46)
1.1 Classification of Differential Equations
1(3)
1.2 Separation of Variables
4(12)
1.3 Homogeneous Equations
16(1)
1.4 Exact Equations
17(3)
1.5 Linear Equations
20(11)
1.6 Graphical Solutions
31(3)
1.7 Numerical Methods
34(13)
Chapter 2 Higher-Order Ordinary Differential Equations
47(54)
2.1 Homogeneous Linear Equations with Constant Coefficients
51(8)
2.2 Simple Harmonic Motion
59(4)
2.3 Damped Harmonic Motion
63(5)
2.4 Method of Undetermined Coefficients
68(5)
2.5 Forced Harmonic Motion
73(7)
2.6 Variation of Parameters
80(5)
2.7 Euler-Cauchy Equation
85(3)
2.8 Phase Diagrams
88(5)
2.9 Numerical Methods
93(8)
Chapter 3 Linear Algebra
101(46)
3.1 Fundamentals
101(8)
3.2 Determinants
109(4)
3.3 Cramer's Rule
113(2)
3.4 Row Echelon Form and Gaussian Elimination
115(14)
3.5 Eigenvalues and Eigenvectors
129(7)
3.6 Systems of Linear Differential Equations
136(5)
3.7 Matrix Exponential
141(6)
Chapter 4 Vector Calculus
147(42)
4.1 Review
147(7)
4.2 Divergence and Curl
154(4)
4.3 Line Integrals
158(5)
4.4 The Potential Function
163(1)
4.5 Surface Integrals
164(7)
4.6 Green's Lemma
171(3)
4.7 Stokes' Theorem
174(7)
4.8 Divergence Theorem
181(8)
Chapter 5 Fourier Series
189(60)
5.1 Fourier Series
190(12)
5.2 Properties of Fourier Series
202(9)
5.3 Half-Range Expansions
211(5)
5.4 Fourier Series with Phase Angles
216(4)
5.5 Complex Fourier Series
220(5)
5.6 The Use of Fourier Series in the Solution of Ordinary Differential Equations
225(7)
5.7 Finite Fourier Series
232(17)
Chapter 6 The Fourier Transform
249(46)
6.1 Fourier Transforms
249(13)
6.2 Fourier Transforms Containing the Delta Function
262(2)
6.3 Properties of Fourier Transforms
264(11)
6.4 Inversion of Fourier Transforms
275(4)
6.5 Convolution
279(4)
6.6 The Solution of Ordinary Differential Equations by Fourier Transforms
283(2)
6.7 The Solution of Laplace's Equation on the Upper Half-Plane
285(2)
6.8 The Solution of the Heat Equation
287(8)
Chapter 7 The Laplace Transform
295(52)
7.1 Definition and Elementary Properties
295(4)
7.2 The Heaviside Step and Dirac Delta Functions
299(8)
7.3 Some Useful Theorems
307(8)
7.4 The Laplace Transform of a Periodic Function
315(2)
7.5 Inversion by Partial Fractions: Heaviside's Expansion Theorem
317(7)
7.6 Convolution
324(5)
7.7 Solution of Linear Differential Equations with Constant Coefficients
329(18)
Chapter 8 The Wave Equation
347(40)
8.1 The Vibrating String
348(3)
8.2 Initial Conditions: Cauchy Problem
351(1)
8.3 Separation of Variables
351(14)
8.4 D'Alembert's Formula
365(7)
8.5 Numerical Solution of the Wave Equation
372(15)
Chapter 9 The Heat Equation
387(32)
9.1 Derivation of the Heat Equation
387(2)
9.2 Initial and Boundary Conditions
389(1)
9.3 Separation of Variables
390(15)
9.4 The Superposition Integral
405(4)
9.5 Numerical Solution of the Heat Equation
409(10)
Chapter 10 Laplace's Equation
419(24)
10.1 Derivation of Laplace's Equation
419(2)
10.2 Boundary Conditions
421(1)
10.3 Separation of Variables
422(7)
10.4 Poisson's Equation on a Rectangle
429(4)
10.5 Numerical Solution of Laplace's Equation
433(10)
Chapter 11 The Sturm-Liouville Problem
443(50)
11.1 Eigenvalues and Eigenfunctions
444(13)
11.2 Orthogonality of Eigenfunctions
457(4)
11.3 Expansion in Series of Eigenfunctions
461(24)
11.4 Finite Element Method
485(8)
Chapter 12 Special Functions
493(78)
12.1 Legendre Polynomials
495(24)
12.2 Bessel Functions
519(48)
12.A Appendix A: Derivation of the Laplacian in Polar Coordinates
567(1)
12.B Appendix B: Derivation of the Laplacian in Spherical Polar Coordinates
568(3)
Answers to the Odd-Numbered Problems 571(18)
Index 589
Dean G. Duffy is a former mathematics instructor at the US Naval Academy and US Military Academy. He spent 25 years working on numerical weather prediction, oceanic wave modeling, and dynamical meteorology at NASAs Goddard Space Flight Center. Prior to this, he was a numerical weather prediction officer in the US Air Force. He earned his Ph.D. in meteorology from MIT. Dr. Duffy has written several books on transform methods, engineering mathematics, and mixed boundary value problems including Greens Functions with Applications, Second Edition, published by CRC Press.