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Geometric Problems on Maxima and Minima
Geometric Problems on Maxima and Minima
Questions of maxima and minima have great practical significance, with applications to physics, engineering, and economics; they have also given rise to theoretical advances, notably in calculus and optimization. Indeed, while most texts view the study of extrema within the context of calculus, this carefully constructed problem book takes a...
Higher Categories and Homotopical Algebra (Cambridge Studies in Advanced Mathematics)
Higher Categories and Homotopical Algebra (Cambridge Studies in Advanced Mathematics)
This book provides an introduction to modern homotopy theory through the lens of higher categories after Joyal and Lurie, giving access to methods used at the forefront of research in algebraic topology and algebraic geometry in the twenty-first century. The text starts from scratch - revisiting results from classical homotopy theory such as...
Graph Algorithms in the Language of Linear Algebra (Software, Environments, and Tools)
Graph Algorithms in the Language of Linear Algebra (Software, Environments, and Tools)

Graphs are among the most important abstract data types in computer science, and the algorithms that operate on them are critical to modern life. Graphs have been shown to be powerful tools for modeling complex problems because of their simplicity and generality. Graph algorithms are one of the pillars of mathematics, informing research in...

Constrained Optimization and Optimal Control for Partial Differential Equations (International Series of Numerical Mathematics)
Constrained Optimization and Optimal Control for Partial Differential Equations (International Series of Numerical Mathematics)

This special volume focuses on optimization and control of processes governed by partial differential equations. The contributors are mostly participants of the DFG-priority program 1253: Optimization with PDE-constraints which is active since 2006. The book is organized in sections which cover almost the entire spectrum of modern research in...

Model and Design of Improved Current Mode Logic Gates: Differential and Single-ended
Model and Design of Improved Current Mode Logic Gates: Differential and Single-ended

This book presents MOSFET-based current mode logic (CML) topologies, which increase the speed, and lower the transistor count, supply voltage and power consumption. The improved topologies modify the conventional PDN, load, and the current source sections of the basic CML gates.

Electronic system implementation involves...

AD HOC NETWORKS: Technologies and Protocols
AD HOC NETWORKS: Technologies and Protocols
Wireless mobile networks and devices are becoming increasingly popular as
they provide users access to information and communication anytime and anywhere.
Conventional wireless mobile communications are usually supported
by a wired fixed infrastructure. A mobile device would use a single-hop wireless
radio communication to
...
Analysis and Control of Boolean Networks: A Semi-tensor Product Approach
Analysis and Control of Boolean Networks: A Semi-tensor Product Approach

Analysis and Control of Boolean Networks presents a systematic new approach to the investigation of Boolean control networks. The fundamental tool in this approach is a novel matrix product called the semi-tensor product (STP). Using the STP, a logical function can be expressed as a conventional discrete-time linear system. In the light of...

High-Speed Networking: A Systematic Approach to High-Bandwidth Low-Latency Communication
High-Speed Networking: A Systematic Approach to High-Bandwidth Low-Latency Communication
"Building networks with high performance demanded by today's applications requires a complete understanding of the basic principles and latest techniques. This book is the definitive guide to both."-Lyman Chapin

High-speed networking is the essential enabler of modern sophisticated distributed computing applications. This
...
Building Python Real-Time Applications with Storm
Building Python Real-Time Applications with Storm

Learn to process massive real-time data streams using Storm and Python―no Java required!

About This Book

  • Learn to use Apache Storm and the Python Petrel library to build distributed applications that process large streams of data
  • Explore sample applications in real-time and analyze...
Isosurfaces: Geometry, Topology, and Algorithms
Isosurfaces: Geometry, Topology, and Algorithms

Ever since Lorensen and Cline published their paper on the Marching Cubes algorithm, isosurfaces have been a standard technique for the visualization of 3D volumetric data. Yet there is no book exclusively devoted to isosurfaces. Isosurfaces: Geometry, Topology, and Algorithms represents the first book to focus on basic...

Diagrammatic Reasoning in AI
Diagrammatic Reasoning in AI

This book is really the end product of over a decade of work, on and off, on diagrammatic reasoning in artificial intelligence (AI). In developing this book, I drew inspiration from a variety of sources: two experimental studies, the development of two prototype systems, an extensive literature review and analysis in AI,...

Differential Geometry: Bundles, Connections, Metrics and Curvature (Oxford Graduate Texts in Mathematics, Vol. 23)
Differential Geometry: Bundles, Connections, Metrics and Curvature (Oxford Graduate Texts in Mathematics, Vol. 23)

Bundles, connections, metrics and curvature are the 'lingua franca' of modern differential geometry and theoretical physics. This book will supply a graduate student in mathematics or theoretical physics with the fundamentals of these objects.

Many of the tools used in differential topology are introduced and the
...

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