國立虎尾科技大學 |

Differential equations : = with boundary-value problems /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Differential equations :/ Dennis G. Zill.
其他題名:	with boundary-value problems /
其他題名:	Differential equations with boundary-value problems
作者:	Zill, Dennis G.,
出版者:	Australia :Cengage Learning, : c2018.,
面頁冊數:	x, 559, 31, 30, 9p. :col. ill. ; : 28cm.;
附註:	"This international metric version differs from the U.S. version of Differential equations with boundary-value problems, ninth edition, as follows: The units of measurement used in most of the examples and exercises have been converted from the U.S. Customary System (USCS) of units (also referred to as English, or Imperial units) to Metric units. This metric version includes conversion tables to reference as you work through the related applications and exercises."--P. vii.
標題:	Boundary value problems. -
ISBN:	9781337559881 (pbk.) :

Differential equations : = with boundary-value problems /
Zill, Dennis G.,1940-

Differential equations :with boundary-value problems /Differential equations with boundary-value problemsDennis G. Zill. - 9th ed., Metric version. - Australia :Cengage Learning,c2018. - x, 559, 31, 30, 9p. :col. ill. ;28cm.

"This international metric version differs from the U.S. version of Differential equations with boundary-value problems, ninth edition, as follows: The units of measurement used in most of the examples and exercises have been converted from the U.S. Customary System (USCS) of units (also referred to as English, or Imperial units) to Metric units. This metric version includes conversion tables to reference as you work through the related applications and exercises."--P. vii.

1. Introuduction to differential equations : Definitions and terminology. Initial-value problems. Differential equations as mathematical models. Chapter 1 in review -- 2. 1st-order differential equations : Solution curves without a solution. Separable variables. Linear equations. Exact equations. Solutions by substitutions. A numerical method. Chapter 2 in review -- 3. Modeling with 1st-order differential equations : Linear models. Nonlinear models. Modeling with systems of 1st-order DEs. Chapter 3 in review -- 4. Higher-order differential equations : Preliminary theory-linear equations. Reduction of order. Homogeneous linear equations with constant coefficients. Undetermined coefficients-superposition approach. Undetermined coefficients-annihilator approach. Variation of parameters. Cauchy-Euler equations. Green's functions. Solving systems of linear differential equations by elimination. Nonlinear differential equations. Chapter 4 in review -- 5. Modeling with higher-order differential equations : Linear models: Initial-value problems. Linear models: Boundary-value problems. Nonlinear Models. Chapter 5 in review -- 6. Series solutions of linear equations : Review of power series. Solutions about ordinary points. Solutions about singular points. Special functions. Chapter 6 in review -- 7. Laplace transform : Definition of the Laplace transform. Inverse transform and transforms of derivatives. Operational properties I. Operational properties II. Dirac Delta Function. Systems of linear differential equations. Chapter 7 in review -- 8. Systems of linear 1st-order differential equations : Preliminary theory -- Linear systems. Homogeneous linear systems. Nonhomogeneous linear systems. Matrix exponential. Chapter 8 in review -- 9. Numerical solutions of ordinary differential equations : Euler methods and error analysis. Runge-Kutta methods. Multistep methods. Higher-order equations and systems. 2nd-order boundary-value problems. Chapter 9 in review -- 10. Systems of nonlinear 1st-order differential equations : Autonomous systems. Stability of linear systems. Linearization and local stability. Autonomous systems as mathematical models. Chapter 10 in review -- 11. Fourier series : Orthogonal functions. Fourier series. Fourier Cosine and Sine series. Sturm-Liouville problem. Bessel and Legendre series. Chapter 11 in review -- 12. Boundary-value problems in rectangular coordinates : Separable partial differential equations. Classical PDE's and boundary-value problems. Heat equation. Wave equation. Laplace's equation. Nonhomogeneous boundary-value problems. Orthogonal series expansions. Higher-dimensional problems. Chapter 12 in review -- 13. Boundary-value problems in other coordinate systems : Polar coordinates. Polar and cylindrical coordinates. Spherical coordinates. Chapter 13 in review -- 14. Integral transform method : Error function. Laplace transform. Fourier Integral. Fourier transforms. Chapter 14 in review -- 15. Numerical solutions of partial differential equations : Laplace's equation. Heat equation. Wave equation. Chapter 15 in review -- Appendices: Integral-defined functions -- Matrices -- Laplace Transforms -- Answers for selected odd-numbered problems.

"Differential equations with boundary-value problems, 8E, International Metric ed. strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. Beginning engineering and math students like you benefit from this accessible text's wealth of pedagogical aids, including an abundance of examples, explanations, "Remarks" boxes, definitions, and group projects. Written in a straightforward, readable, and helpful style, the book provides you with a thorough treatment of boundary-value problems and partial differential equations" -- Publisher website.

ISBN: 9781337559881 (pbk.) :NT2760Subjects--Topical Terms:

528307
Boundary value problems.

Dewey Class. No.: 515.35

Differential equations : = with boundary-value problems /
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003 OCoLC
005 20180411085316.0
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020 $a 9781337559881 (pbk.) : $c NT2760
035 $a (OCoLC)994477963
035 $a 994477963
040 $a UX1 $b eng $c UX1 $d OCLCO $d P4A $d OCLCF $d NFU
082 0 4 $a 515.35 $2 23
100 1 $a Zill, Dennis G., $d 1940- $3 775146
245 1 0 $a Differential equations : $b with boundary-value problems / $c Dennis G. Zill.
246 3 0 $a Differential equations with boundary-value problems
250 $a 9th ed., Metric version.
260 # $a Australia : $b Cengage Learning, $c c2018.
300 $a x, 559, 31, 30, 9p. : $b col. ill. ; $c 28cm.
500 $a "This international metric version differs from the U.S. version of Differential equations with boundary-value problems, ninth edition, as follows: The units of measurement used in most of the examples and exercises have been converted from the U.S. Customary System (USCS) of units (also referred to as English, or Imperial units) to Metric units. This metric version includes conversion tables to reference as you work through the related applications and exercises."--P. vii.
500 $a Includes index.
505 0 # $a 1. Introuduction to differential equations : Definitions and terminology. Initial-value problems. Differential equations as mathematical models. Chapter 1 in review -- 2. 1st-order differential equations : Solution curves without a solution. Separable variables. Linear equations. Exact equations. Solutions by substitutions. A numerical method. Chapter 2 in review -- 3. Modeling with 1st-order differential equations : Linear models. Nonlinear models. Modeling with systems of 1st-order DEs. Chapter 3 in review -- 4. Higher-order differential equations : Preliminary theory-linear equations. Reduction of order. Homogeneous linear equations with constant coefficients. Undetermined coefficients-superposition approach. Undetermined coefficients-annihilator approach. Variation of parameters. Cauchy-Euler equations. Green's functions. Solving systems of linear differential equations by elimination. Nonlinear differential equations. Chapter 4 in review -- 5. Modeling with higher-order differential equations : Linear models: Initial-value problems. Linear models: Boundary-value problems. Nonlinear Models. Chapter 5 in review -- 6. Series solutions of linear equations : Review of power series. Solutions about ordinary points. Solutions about singular points. Special functions. Chapter 6 in review -- 7. Laplace transform : Definition of the Laplace transform. Inverse transform and transforms of derivatives. Operational properties I. Operational properties II. Dirac Delta Function. Systems of linear differential equations. Chapter 7 in review -- 8. Systems of linear 1st-order differential equations : Preliminary theory -- Linear systems. Homogeneous linear systems. Nonhomogeneous linear systems. Matrix exponential. Chapter 8 in review -- 9. Numerical solutions of ordinary differential equations : Euler methods and error analysis. Runge-Kutta methods. Multistep methods. Higher-order equations and systems. 2nd-order boundary-value problems. Chapter 9 in review -- 10. Systems of nonlinear 1st-order differential equations : Autonomous systems. Stability of linear systems. Linearization and local stability. Autonomous systems as mathematical models. Chapter 10 in review -- 11. Fourier series : Orthogonal functions. Fourier series. Fourier Cosine and Sine series. Sturm-Liouville problem. Bessel and Legendre series. Chapter 11 in review -- 12. Boundary-value problems in rectangular coordinates : Separable partial differential equations. Classical PDE's and boundary-value problems. Heat equation. Wave equation. Laplace's equation. Nonhomogeneous boundary-value problems. Orthogonal series expansions. Higher-dimensional problems. Chapter 12 in review -- 13. Boundary-value problems in other coordinate systems : Polar coordinates. Polar and cylindrical coordinates. Spherical coordinates. Chapter 13 in review -- 14. Integral transform method : Error function. Laplace transform. Fourier Integral. Fourier transforms. Chapter 14 in review -- 15. Numerical solutions of partial differential equations : Laplace's equation. Heat equation. Wave equation. Chapter 15 in review -- Appendices: Integral-defined functions -- Matrices -- Laplace Transforms -- Answers for selected odd-numbered problems.
520 0 $a "Differential equations with boundary-value problems, 8E, International Metric ed. strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. Beginning engineering and math students like you benefit from this accessible text's wealth of pedagogical aids, including an abundance of examples, explanations, "Remarks" boxes, definitions, and group projects. Written in a straightforward, readable, and helpful style, the book provides you with a thorough treatment of boundary-value problems and partial differential equations" -- Publisher website.
650 # 0 $a Boundary value problems. $3 528307
650 # 0 $a Differential equations. $3 527664