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Elementary Differential Equations with Boundary Value Problems: United States Edition by David E. Penney, C. Henry Edwards (Hardcover, 1999)

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For courses in Differential Equations. This book, with enough material for 2 terms, provides a concrete and readable text for the traditional course in elementary differential equations that science, engineering, and mathematics students take following calculus. This is a strongly algebraic-oriented text with some computer enhancements for numerical methods. Matters of definition, classification, and logical structure deserve (and receive here) careful attention for the first time in the mathematical experience of many of the students. While it is neither feasible nor desirable to include proofs of the fundamental existence and uniqueness theorems along the way in an elementary course, students need to see precise and clear-cut statements of these theorems, and understand their role in the subject. Appropriate existence and uniqueness proofs in the Appendix are included, and referred to where appropriate in the main body of the text. Stongest collection of problem sets available - Total is now 1900 and 200 are new. Applications are a highlight of this text: Almost 300 computer-generated graphics throughout the text. A dozen new student projects follow key computational sections in the book. Adds concrete applied emphasis and engage students in more extensive investigations than afforded by typical exercises and problems. A solid numerical methods emphasis is provided where appropriate - by the inclusion of generic numerical algorithms and a limited number of illustrative calculator, BASIC, and MATLAB routines. A contemporary perspective - shaped by the availability of computational aids - permits more streamlined coverage of certain standard topics.