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Teaching students to first solve those differential equations that have the most frequent and interesting applications, this book introduces the principle ideas of each topic. Its numerical approach emphasizes that the effective and reliable use requires preliminary analysis using standard elementary techniques.
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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.From the Back Cover:
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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