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Elementary Differential Equations with Boundary Value Problems (Trench)

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    9389

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    This text is written for students in science, engineering, and mathematics who have completed calculus through partial differentiation. In writing this book I have been guided by the these principles:

    • An elementary text should be written so the student can read it with comprehension without too much pain. I have tried to put myself in the student’s place, and have chosen to err on the side of too much detail rather than not enough.
    • An elementary text can’t be better than its exercises. This text includes 1695 numbered exercises, many with several parts. They range in difficulty from routine to very challenging.
    • An elementary text should be written in an informal but mathematically accurate way, illustrated by appropriate graphics. I have tried to formulate mathematical concepts succinctly in language that students can understand. I have minimized the number of explicitly stated theorems and definitions, preferring to deal with concepts in a more conversational way, copiously illustrated by 250 completely worked out examples. Where appropriate, concepts and results are depicted in 144 figures.

    Thumbnail: A direction field and integral curves for \(y'= \dfrac{x^2}{1-x^2-y^2}\). (CC BY-NC 3.0; William F. Trench via source content)

    This page titled Elementary Differential Equations with Boundary Value Problems (Trench) was last modified on Sun, 23 Jun 2024 09:18:26 GMT and is shared under a CC BY-NC-SA 3.0 license and was authored, remixed, and/or curated by William F. Trench via source content that was edited to the style and standards of the LibreTexts platform.