For courses in differential equations.This book 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 referenced where appropriate in the main body of the text.
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This popular introduction to elementary differential equations is widely hailed for its exceptional user-friendly exposition, range of real-world applications, numerical and computer material, and treatment of contemporary topics. It is a brief version of elementary differential equations with boundary value problems.
Key Benefit: This popular introduction to elementary differential equations is widely hailed for its exceptional user- friendly exposition, range of real-world applications, numerical and computer material, and treatment of contemporary topics. Key Topics: Every major idea is introduced by means of a preliminary discussion that serves as motivation. In most chapters, it first introduces the principal ideas of the topic, then covers extensions and applications. It is one of the most visual books on the market, including extensive use of phase plan diagrams, more on chaos, and extensive modeling. It contains carefully graded problem sets and provides a full chapter on numerical methods — with illustrative programs written in BASIC. Coverage keeps pace with the rapid advancement of computer use and revises/expands coverage of linear systems and nonlinear phenomena. The section on existence and uniqueness of solutions has been relocated to an appendix. Market:
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