Ordinary and Partial Differential Equations

Victor Henner, Tatyana Belozerova and Mikhail Khenner

"Ordinary and Partial Differential Equations provides college-level readers with a comprehensive textbook covering both ordinary differential equations and partial differential equations, offering a complete course on both under one cover, which makes this a unique contribution to the field. Examples and exercises accompany software supporting these and a text that covers all the basics any undergraduate or beginning graduate course will cover in differential equations. This doesn't require programmer knowledge nor any special computer software outside the disc provided here, and provides in-depth detail for students in the physical, engineering, biological, and math sciences using examples throughout. Very highly recommended for any college collection supporting these disciplines." -Midwest Book Review "Henner, Belozerova, and Khenner cover most of the fundamental topics found in introductory ODEs and PDEs courses, nicely balancing scope without sacrificing content. ... The authors have managed to provide the right amount of details and have outlined the text in such a way that all material needed to solve the PDEs discussed in Part II can be referenced within the text. This, in my opinion, is the main strength of the book. ... this single book could be used successfully for a series of differential equations courses that covered both ODEs and PDEs if the same students took the courses. ... This text finds a nice balance between general topics of ODEs and second-order PDEs." -Joe Latulippe, MAA Reviews, June 2013

• First-Order Differential Equations. Second-Order Differential Equations. Systems of Differential Equations. Boundary Value Problems for Second-Order ODE and Sturm-Liouville Theory. Qualitative Methods and Stability of ODE Solutions. Method of Laplace Transforms for ODE. Integral Equations. Series Solutions of ODEs and Bessel and Legendre Equations. Fourier Series. Introduction to PDE. One-Dimensional Hyperbolic Equations. Two-Dimensional Hyperbolic Equations. One-Dimensional Parabolic Equations. Two-Dimensional Parabolic Equations. Elliptic Equations. Appendices. Bibliography.