A First Course in Differential Equations
David Logan, J.
A First Course in Differential Equations [electronic resource] / by J. David Logan. - XV, 290 p. online resource. - Undergraduate Texts in Mathematics, 0172-6056 . - Undergraduate Texts in Mathematics, .
Preface -- Differential Equations and Models -- Analytic Solutions and Approximations.-Second-Order Differential Equations -- Laplace Transforms -- Linear Systems -- Nonlinear Systems -- Appendix A: References -- Appendix B: A Brief on MATLAB -- Appendix C: Maple Commands -- Appendix D: Sample Examinations -- Appendix E: Solutions to Selected Exercises.
This text is designed for the standard post-calculus course in elementary differential equations. It is a brief, one-semester treatment of the basic ideas, models, and solution methods. The book, which serves as an alternative to existing texts for instructors who want more concise coverage, emphasizes graphical, analytical, and numerical approaches, and is written with clear language in a user-friendly format. It provides students with the tools to continue on to the next level in applying differential equations to problems in engineering, science, and applied mathematics. The topics include: * separable and linear first-order equations; * autonomous equations; * second order linear homogeneous and nonhomogeneous equations; * Laplace transforms; * linear and nonlinear systems in the phase plane. Many exercises are provided, in addition to examples from engineering, ecology, physics, economics, and other areas. An expanded section on the required linear algebra is presented, and an appendix contains templates of Maple and MATLAB commands and programs which are useful in differential equations.
9780387299303
10.1007/0-387-29930-0 doi
Mathematics.
Matrix theory.
Algebra.
Differential equations.
Partial differential equations.
Mathematics.
Ordinary Differential Equations.
Linear and Multilinear Algebras, Matrix Theory.
Partial Differential Equations.
QA372
515.352
A First Course in Differential Equations [electronic resource] / by J. David Logan. - XV, 290 p. online resource. - Undergraduate Texts in Mathematics, 0172-6056 . - Undergraduate Texts in Mathematics, .
Preface -- Differential Equations and Models -- Analytic Solutions and Approximations.-Second-Order Differential Equations -- Laplace Transforms -- Linear Systems -- Nonlinear Systems -- Appendix A: References -- Appendix B: A Brief on MATLAB -- Appendix C: Maple Commands -- Appendix D: Sample Examinations -- Appendix E: Solutions to Selected Exercises.
This text is designed for the standard post-calculus course in elementary differential equations. It is a brief, one-semester treatment of the basic ideas, models, and solution methods. The book, which serves as an alternative to existing texts for instructors who want more concise coverage, emphasizes graphical, analytical, and numerical approaches, and is written with clear language in a user-friendly format. It provides students with the tools to continue on to the next level in applying differential equations to problems in engineering, science, and applied mathematics. The topics include: * separable and linear first-order equations; * autonomous equations; * second order linear homogeneous and nonhomogeneous equations; * Laplace transforms; * linear and nonlinear systems in the phase plane. Many exercises are provided, in addition to examples from engineering, ecology, physics, economics, and other areas. An expanded section on the required linear algebra is presented, and an appendix contains templates of Maple and MATLAB commands and programs which are useful in differential equations.
9780387299303
10.1007/0-387-29930-0 doi
Mathematics.
Matrix theory.
Algebra.
Differential equations.
Partial differential equations.
Mathematics.
Ordinary Differential Equations.
Linear and Multilinear Algebras, Matrix Theory.
Partial Differential Equations.
QA372
515.352