Differential Equations: A Concise Course (Dover Books on Mathematics)

Book Details

• Publisher: Dover

• Author: Bear, H. S.

• Language: English

• Edition: New

• ISBN: 9780486406787

• Pages: 224

• Cover: Paperback

• Dimensions: 8.1 x 5.4 x 0.5 inches

About The Book

Differential Equations by H. S. Bear, published by Dover, offers a clear and concise introduction to the theory and application of differential equations. Designed as a textbook for a standard one-semester or two-term undergraduate course following calculus, this 224-page paperback emphasizes mathematical understanding over rote memorization, making it ideal for students seeking a deeper grasp of the subject.

The text begins with a study of first-order equations before progressing to linear equations, including detailed treatments of complex-valued solutions, linear differential operators, inverse operators, and the method of variation of parameters. Later chapters explore the Laplace transform and Picard’s existence theorem, culminating in a thoughtful examination of different approaches to systems of equations.

Filled with well-explained theorems, rigorous proofs, illustrative examples, and problems with solutions, this book balances accessibility with depth. Whether used in the classroom or for self-study, Bear’s work serves as a reliable and insightful resource for anyone beginning their journey into differential equations.