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Differential Equations

PDE Models for Chemotaxis and Hydrodynamics in Supercritical Function Spaces

This book deals with PDE models for chemotaxis (the movement of biological cells or organisms in response of chemical gradients) and hydrodynamics (viscous, homogeneous, and incompressible fluid filling the entire space). The underlying Keller–Segel equations (chemotaxis), Navier–Stokes equations (hydrodynamics), and their numer...

"On the Shoulders of Giants:" The Early College at Guilford, AP Calculus AB (6th Edition)

Created by AB Calculus teacher Paul Smith at the Early College at Guilford. For use in case anyone loses their print copy.

Elementary Differential Equations and Boundary Value Problems (11th)

Elementary Differential Equations and Boundary Value Problems 11e, like its predecessors, is written from the viewpoint of the applied mathematician, whose interest in differential equations may sometimes be quite theoretical, sometimes intensely practical, and often somewhere in between. The authors have sought to combine a sou...

Биография и научные труды Алексея Никифоровича Герасимова

(о линейных операторах, упруго-вязкости, элевтерозе и дробных производных)По единственной статье, известной в мировой научной литературе (Прикладная Математика и Механика,1948, № 3), расшифрованы инициалы, восстановлена биография, найдены еще 11 сохранившихся работ советского механика Алексея Никифоровича Герасимова, на 20 лет р...

Fundamentals of Differential Equations (9th Edition)

For one-semester sophomore- or junior-level courses in Differential Equations.   An introduction to the basic theory and applications of differential equations                                                                  Fundamentals of Differential Equations presents the basic theory of differential equations and offer...

Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations

This book deals with a systematic study of a dynamical system approach to investigate the symmetrization and stabilization properties of nonnegative solutions of nonlinear elliptic problems in asymptotically symmetric unbounded domains. The usage of infinite dimensional dynamical systems methods for elliptic problems in unbounde...

Differential Equations and Linear Algebra (4th Edition)

Concepts, methods, and core topics covering elementary differential equations and linear algebra through real-world applications In a contemporary introduction to differential equations and linear algebra, acclaimed authors Edwards and Penney combine core topics in elementary differential equations with concepts and methods of ...

An Invitation to Applied Mathematics: Differential Equations, Modeling, and Computation (1st Edition)

An Invitation to Applied Mathematics: Differential Equations, Modeling, and Computation introduces the reader to the methodology of modern applied mathematics in modeling, analysis, and scientific computing with emphasis on the use of ordinary and partial differential equations. Each topic is introduced with an attractive physic...