000			03602nam a22002897a 4500
999			_c124839 _d124839
003			OSt
005			20220921154351.0
007			ta
008			220208b2019 onc||||| |||| 00| 0 eng d
020			_a9781773614038 (hbk)
040			_beng _cHNU _erda
082			_223 _3GC _a515.35 B64 2019
100			_aBorres, Maria Catherine
245			_aDifferential equations : _btheory and applications / _cMaria Catherine Borres.
264			_aOakville, ON : _bArcler Press, _c©2019.
300			_aix, 411 pages : _billustrations ; _c24 cm
504			_a Includes bibliographical references and index.
505			_aCover; Half Title Page; Title Page; Copyright Page; About the Author; Table of Contents; Preface; Chapter 1 Basic Concepts of Differential Equations; 1.1. Introduction; 1.2. The Bernoulli Equation; 1.3. Differential Equations of Higher Order; 1.4. The Wronskian; Chapter 2 Fundamental Concepts of Partial Differential Equations; 2.1. Introduction; 2.2. Classification of Second Order PDE; 2.3. Summary and Discussion; 2.4. Classification of Second Order PDE; Chapter 3 Application of Differential Equations In Mechanics; 3.1. Introduction; 3.2. Projectile Motion; 3.3. Summary and Discussion Chapter 4 Elliptic Differential Equation4.1. Introduction; 4.2. Boundary Value Problem (BVPs); 4.3. Some Important Mathematical Tools; 4.4. Properties Of Harmonic Functions; 4.5. Separation Of Variables; 4.6. Dirichlet Problem For A Rectangle; 4.7. The Neumann Problem For A Rectangle; 4.8. Interior Dirichlet Problem For A Circle; 4.9. Exterior Dirichlet Problem For A Circle; 4.10. Interior Neumann Problem For A Circle; 4.11. Solution Of Laplace Equation In Cylindrical Coordinates; 4.12. Solution Of Laplace Equation In Spherical Coordinates; 4.13. Miscellaneous Example 4.14. Summary And DiscussionsChapter 5 Hyperbolic Differential Equation; 5.1 Introduction; 5.2. Solution Of One-Dimensional Wave Equation by Canonical Reduction; 5.3. The Initial Value Problem; D'alembert's Solution; 5.4. Summary And Discussion; Chapter 6 Parabolic Differential Equations; 6.1. Introduction; 6.2. Boundary Conditions; 6.3. Elementary Solutions Of The Diffusion Equation; 6.4. Dirac Delta Function; 6.5. Separation Of Variables Method; 6.6. Maximum-Minimum Principle and Consequences; 6.7. Miscellaneous Example; 6.8. Boundary Conditions; Chapter 7 Laplace Transform Methods 7.1. Introduction7.2. Transform Of Some Elementary Functions; 7.3. Properties Of Laplace Transform; 7.4. Transform Of A Periodic Function; 7.5. Transform Of Error Function; 7.6. Transform Of Bessel's Function; 7.7. Transform Of Dirac Delta Function; 7.8. Convolution Theorem (Faltung Theorem); Chapter 8 Green's Function; 8.1. Introduction; 8.2. The Eigenfunction Method; 8.3. Summary and Discussion; References; Index
520			_aExamines several aspects of differential equations, including an extensive explanation of higher order differential equations. The book includes applications of differential equations in mechanics and different types of differential equations, and provides the reader with a clear understanding of theory and application of differential equations.
521			_aCOECS _bBachelor of Science in Civil Engineering
521			_aCOECS _bBachelor of Science in Computer Engineering
521			_aCOECS _bBachelor of Science in Electronics Engineering
546			_aText in English
650			_aDifferential equations.
942			_2ddc _cBK _h500-599