Kategoria BISAC: Mathematics >> Differential Equations - General

"Numerische Mathematik," in zwei Banden, ist eine Einfuhrung in die Numerische Mathematik anhand von Differenzialgleichungsproblemen. Gegliedert nach elliptischen, parabolischen und hyperbolischen Differenzialgleichungen, erlautert sie zunachst jeweils die Diskretisierung solcher Probleme. Als Diskretisierungstechniken stehen Finite-Elemente-Methoden im Raum und (partitionierte) Runge-Kutta-Methoden in der Zeit im Vordergrund. Die diskretisierten Gleichungen motivieren die Diskussion von Methoden fur endlichdimensionale (nicht)lineare Gleichungen, die anschliessend als eigenstandige Themen...

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Get the confidence and the skills you need to master differential equations

Need to know how to solve differential equations? This easy-to-follow, hands-on workbook helps you master the basic concepts and work through the types of problems you'll encounter in your coursework. You get valuable exercises, problem-solving shortcuts, plenty of workspace, and step-by-step...

The experimental achievement of Bose-Einstein condensation (1995) and of Fermi degeneracy (1999) in ultra-cold, dilute gases has opened a new field in atomic physics and condensed matter physics. This thesis presents an overview of theoretical and experimental facts on ultra-cold atomic gases. A Green's function scheme is examined, and the book also applies a novel spin-density-functional approach to the study of Fermi gases inside one-dimensional optical lattices.

The book serves both as a reference for various scaled models with corresponding dimensionless numbers, and as a resource for learning the art of scaling. A special feature of the book is the emphasis on how to create software for scaled models, based on existing software for unscaled models.

Scaling (or non-dimensionalization) is a mathematical technique that greatly simplifies the setting of input parameters in numerical simulations. Moreover, scaling enhances the understanding of how different physical processes interact in a differential equation model. Compared to the existing...

A revolutionary book from the stand-up mathematician that makes math fun again now in paperback

Math is boring, says the mathematician and comedian Matt Parker. Part of the problem may be the way the subject is taught, but it's also true that we all, to a greater or lesser extent, find math difficult and counterintuitive. This counterintuitiveness is actually part of the point, argues Parker: the extraordinary thing about math is that it allows us to access logic and ideas beyond what our brains can instinctively do through its logical tools we are able to reach beyond our innate...