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- World Scientific Publishing Company 2006; US$ 79.00 US$ 71.89
The maximum principle induces an order structure for partial differential equations, and has become an important tool in nonlinear analysis. This book is the first of two volumes to systematically introduce the applications of order structure in certain nonlinear partial differential equation problems. The maximum principle is revisited through the... more...
- Springer Basel 2014; US$ 37.18
This book details key ideas in dispersive equations. It offers coverage of tools and techniques, the energy-critical nonlinear Schrödinger equation, global solutions to the defocusing problem, scattering, control of interacting waves, and Schrödinger maps. more...
- Random House 2015; US$ 12.68
?This man could plainly do for mathematics what Brian Cox has done for physics? ? Sunday Times How does a genius see the world? Where and how does inspiration strike? Cédric Villani takes us on a mesmerising adventure as he wrestles with the Boltzmann equation ? a new theorem that will eventually win him the most coveted prize in mathematics... more...
- Dover Publications 2013; US$ 7.99
In a simple but mathematically coherent manner, this text examines the basis of the distribution theories devised by Schwartz and by Mikusinki. Rigorous and concise, it surveys the functional theory of distributions as well as the algebraic theory. Its easy generalizations offer applications to a wide variety of problems. The two-part treatment begins... more...
- Dover Publications 2014; US$ 24.95
This first volume of a highly regarded two-volume text is fully usable on its own. After going over some of the preliminaries, the authors discuss mathematical models that yield first-order partial differential equations; motivations, classifications, and some methods of solution; linear and semilinear equations; chromatographic equations with finite... more...
- Dover Publications 2013; US$ 22.95
Geared toward students of applied rather than pure mathematics, this volume introduces elements of partial differential equations. Its focus is primarily upon finding solutions to particular equations rather than general theory. Topics include ordinary differential equations in more than two variables, partial differential equations of the first and... more...
- Dover Publications 2013; US$ 10.99
Elementary and self-contained, this heterogeneous collection of results on partial differential equations employs certain elementary identities for plane and spherical integrals of an arbitrary function, showing how a variety of results on fairly general differential equations follow from those identities. The first chapter deals with the decomposition... more...
- Dover Publications 2013; US$ 24.95
This text focuses on the theory of boundary value problems in partial differential equations, which plays a central role in various fields of pure and applied mathematics, theoretical physics, and engineering. Geared toward upper-level undergraduates and graduate students, it discusses a portion of the theory from a unifying point of view and provides... more...