Leads readers step-by-step from simple exercises to increasingly powerful mathematical techniques for solving more complicated and realistic physical problems. Pg.___ Discusses hear flow and vibrating strings and membranes so students can better understand the relationships between mathematics and the physical problems. Pg.___ Carefully organized, easily readable discussion of the role of partial differential equations in applied mathematics. Pg.___ Emphasizes examples and problem solving. Provides a thorough and reasoned approach to problem solving, stressing understanding.

Pg.___ Great care in physical and mathematical derivations, ensuring students are aware of assumptions being made. Pg.___ Clear and lively writing style. Pg.___ Clearly explains details and ideas with patience and sustained enthusiasm. Pg.___ Text allows instructor flexibility in the selection of material.

Pg.___ Includes several important pedagogical features. Pg.___ More than 200 figures. Pg.___ Presents more than 1000 exercises with answers to selected exercises in the back of the book. Pg.___ Important equations and statements are frequently boxed.

Pg.___ Paragraphs are often titled in bold. Pg.___ Important formulas are made into tables. Pg.___ Inside covers include important tabulated information. Pg.___ Includes a new chapter on topics in partial differential equations involving dispersive waves.

This self-contained chapter presents stability, nonlinearity, and perturbation methods. Pg.___ Includes a short section on fluid flow past a circular cylinder (lift) early in the text, thereby providing a more realistic application of partial differential equations (Laplace's equation). Pg.___ Includes a short section on reflection and refraction of light and sound waves that provides a realistic application of partial differential equations (the wave equation). Pg.___ Includes a short section on the finite element method in the chapter on numerical methods for partial differential equations. Pg.

___ Presents a section on partial differential equations with spherical geometry and the required discussion of Legendre polynomials that discusses more realistic physical problems defined on the spherical earth. Pg.___ Provides a section on eigenvalue problems with a continuous and discrete spectrum for applicable material on scattering and inverse scattering. Pg.___ Includes a section on first-order nonlinear partial differential equations for eikonal equation of geometrical optics. Pg.___ Includes many computer generated three-dimensional figures. Pg.

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