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Flexible graduate textbook that introduces the applications, theory, and algorithms of linear and nonlinear optimization in a clear succinct style, supported by numerous examples and exercises. It introduces important realistic applications and explains how optimization can address them.
A complete and unified introduction to applications, theory and algorithms which contains modelling examples, computer based exercises and material on interior point methods and trust-region methods. Gives both numerical methods for optimisation and optomisation problems.
As optimization researchers tackle larger and larger problems, scale interactions play an increasingly important role. One general strategy for dealing with a large or difficult problem is to partition it into smaller ones, which are hopefully much easier to solve, and then work backwards towards the solution of original problem, using a solution from a previous level as a starting guess at the next level. This volume contains 22 chapters highlighting some recent research. The topics of the chapters selected for this volume are focused on the development of new solution methodologies, including general multilevel solution techniques, for tackling difficult, large-scale optimization problems that arise in science and industry. Applications presented in the book include but are not limited to the circuit placement problem in VLSI design, a wireless sensor location problem, optimal dosages in the treatment of cancer by radiation therapy, and facility location.
Mathematics of Computing -- Numerical Analysis.
The Urban Crucible boldly reinterprets colonial life and the origins of the American Revolution. Through a century-long history of three seaport towns--Boston, New York, and Philadelphia--Gary Nash discovers subtle changes in social and political awareness and describes the coming of the revolution through popular collective action and challenges to rule by custom, law and divine will. A reordering of political power required a new consciousness to challenge the model of social relations inherited from the past and defended by higher classes. While retaining all the main points of analysis and interpretation, the author has reduced the full complement of statistics, sources, and technical data contained in the original edition to serve the needs of general readers and undergraduates.
A stunning visual collection of the banded metaphase chromosomekaryotypes from some 850 species of mammals, the Atlas of MammalianChromosomes represents an unabridged compendium of the state ofthis genomic art form. Bringing together information currentlyscattered throughout the cytogenetics literature for scores ofpublished and unpublished species, this atlas features high-qualitykaryotype images for nearly every mammal studied to date, making itthe most comprehensive assemblage of high-resolution chromosomephotographs available--a critically invaluable resource for today'scomparative genomics era. For every available species, the Atlas of Mammalian Chromosomespresents the best karyotype pr...
A Theoretical Introduction to Numerical Analysis presents the general methodology and principles of numerical analysis, illustrating these concepts using numerical methods from real analysis, linear algebra, and differential equations. The book focuses on how to efficiently represent mathematical models for computer-based study. An accessible yet rigorous mathematical introduction, this book provides a pedagogical account of the fundamentals of numerical analysis. The authors thoroughly explain basic concepts, such as discretization, error, efficiency, complexity, numerical stability, consistency, and convergence. The text also addresses more complex topics like intrinsic error limits and th...
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