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Topology of Digital Images: Visual Pattern Discovery in Proximity Spaces
Topology of Digital Images: Visual Pattern Discovery in Proximity Spaces

This book carries forward recent work on visual patterns and structures in digital images and introduces a near set-based a topology of digital images. Visual patterns arise naturally in digital images viewed as sets of non-abstract points endowed with some form of proximity (nearness) relation. Proximity relations make it possible to...

Plasma Astrophysics, Part II: Reconnection and Flares (Astrophysics and Space Science Library)
Plasma Astrophysics, Part II: Reconnection and Flares (Astrophysics and Space Science Library)

This two-part book is devoted to classic fundamentals and current practices and perspectives of modern plasma astrophysics. This second part discusses the physics of magnetic reconnection and flares of electromagnetic origin in space plasmas in the solar system, single and double stars, relativistic objects, accretion disks and their coronae....

Solar Flare Magnetic Fields and Plasmas
Solar Flare Magnetic Fields and Plasmas

This volume is devoted to the dynamics and diagnostics of solar magnetic fields and plasmas in the Sun’s atmosphere. Five broad areas of current research in Solar Physics are presented: (1) New techniques for incorporating radiation transfer effects into three-dimensional magnetohydrodynamic models of the solar interior and atmosphere,...

Quotient Space Based Problem Solving: A Theoretical Foundation of Granular Computing
Quotient Space Based Problem Solving: A Theoretical Foundation of Granular Computing
The term problem solving is used in many disciplines, sometimes with different perspectives. As one of the important topics in artificial intelligence (AI) research, it is a computerized process of human problem-solving behaviors. So the aim of problem solving is to develop techniques that program computers to find solutions...
Linear Algebra and Geometry
Linear Algebra and Geometry

This book is the result of a series of lectures on linear algebra and the geometry of multidimensional spaces given in the 1950s through 1970s by Igor R. Shafarevich at the Faculty of Mechanics and Mathematics of Moscow State University.

Notes for some of these lectures were preserved in the faculty library, and these were used...
Handbook of Boolean Algebras, Volume 2
Handbook of Boolean Algebras, Volume 2

This Handbook treats those parts of the theory of Boolean algebras of most interest to pure mathematicians: the set-theoretical abstract theory and applications and relationships to measure theory, topology, and logic. It is divided into two parts (published in three volumes). Part I (volume 1) is a comprehensive, self-contained introduction...

Logical Foundations of Computer Science: International Symposium, LFCS 2007
Logical Foundations of Computer Science: International Symposium, LFCS 2007

The Symposium on Logical Foundations of Computer Science series provides a forum for the fast-growing body of work in the logical foundations of computer science, e.g., those areas of fundamental theoretical logic related to computer science. The LFCS series began with “Logic at Botik,” Pereslavl-Zalessky, 1989, which was...

Advances in Chemical Physics: Modern Nonlinear Optics, Volume 119, Part 2, 2nd Edition
Advances in Chemical Physics: Modern Nonlinear Optics, Volume 119, Part 2, 2nd Edition

The new edition will provide the sole comprehensive resource available for non-linear optics, including detailed descriptions of the advances over the last decade from world-renowned experts.

This volume, produced in three parts, is the Second Edition of Volume 85 of the series, Modern Nonlinear Optics, edited by M.W. Evans and S....

Fragile Networks: Identifying Vulnerabilities and Synergies in an Uncertain World
Fragile Networks: Identifying Vulnerabilities and Synergies in an Uncertain World
A unified treatment of the vulnerabilities that exist in real-world network systems—with tools to identify synergies for mergers and acquisitions

Fragile Networks: Identifying Vulnerabilities and Synergies in an Uncertain World presents a comprehensive study of network systems and the roles these systems play...

Kazhdan's Property (T) (New Mathematical Monographs)
Kazhdan's Property (T) (New Mathematical Monographs)
Property (T) is a rigidity property for topological groups, first formulated by D. Kazhdan in the mid 1960's with the aim of demonstrating that a large class of lattices are finitely generated. Later developments have shown that Property (T) plays an important role in an amazingly large variety of subjects, including discrete subgroups of Lie...
Convex Analysis and Nonlinear Optimization: Theory and Examples (CMS Books in Mathematics)
Convex Analysis and Nonlinear Optimization: Theory and Examples (CMS Books in Mathematics)
MATHEMATICAL REVIEWS

"The present book gives a concise treatment of the area, aiming to show the relevance in particular of new developments in nonsmooth analysis to optimization theory…The book is of a manageable size and as such should appeal to the student. Further, the proofs are generally short and snappy, revealing the power...

Classical Theory of Gauge Fields
Classical Theory of Gauge Fields
Based on a highly regarded lecture course at Moscow State University, this is a clear and systematic introduction to gauge field theory. It is unique in providing the means to master gauge field theory prior to the advanced study of quantum mechanics. Though gauge field theory is typically included in courses on quantum field theory, many of its...
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