Differential Equations Demystified

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From review by M. Henle, Oberlin College Differential equations is an important subject that lies at the heart of the calculus. Here one sees how the calculus applies to real-world problems. Differential Equations DeMystified, (to use the spelling on the cover) is ...a serious, straightforward work. In style and substance this book is like standard differential equations books...The emphasis is consistently...on the computations needed to find...solutions to specific equations... Choice 20050201 Krantz asserts that if calculus is the heart of modern science, differential equations are the guts. Writing for those who already have a basic grasp of calculus, Krantz provides explanations, models, and examples that lead from differential equations to higher math concepts in a self-paced format. He includes chapters on first-order and second-order equations, power series solutions and spatial functions, Fourier series, Laplace transforms, numerical methods, partial equations and boundary value problems. His models come from engineering, physics and other fields in math. He includes solutions to the exercises and a final exam. Sci-Tech Book News 20041201

• PrefaceChapter 1: What Is a Differential Equation?Chapter 2: Second-Order EquationsChapter 3: Power Series Solutions and Special FunctionsChapter 4: Fourier Series: Basic ConceptsChapter 5: Partial Differential Equations and Boundary Value ProblemsChapter 6: Laplace TransformsChapter 7: Numerical MethodsChapter 8: Systems of First-Order EquationsFinal ExamSolutions to ExercisesBibliographyIndex