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Metric Algebraic Geometry
Metric algebraic geometry combines concepts from algebraic geometry and differential geometry. Building on classical foundations, it offers practical tools for the 21st century. Many applied problems center around metric questions, such as optimization with respect to distances. After a short dive into 19th-century geometry of plane curves, we turn to problems expressed by polynomial equatio…
- Edition
- -
- ISBN/ISSN
- 9783031514623
- Collation
- XIV, 215
- Series Title
- 53
- Call Number
- -
Branes and DAHA Representations
In recent years, there has been an increased interest in exploring the connections between various disciplines of mathematics and theoretical physics such as representation theory, algebraic geometry, quantum field theory, and string theory. One of the challenges of modern mathematical physics is to understand rigorously the idea of quantization. The program of quantization by branes, which com…
- Edition
- -
- ISBN/ISSN
- 978-3-031-28153-2
- Collation
- VI, 143
- Series Title
- -
- Call Number
- -
The geometry of multiple images : the laws that govern the formation of multi…
This book formalizes and analyzes the relations between multiple views of a scene from the perspective of various types of geometries. A key feature is that it considers Euclidean and affine geometries as special cases of projective geometry.Over the last forty years, researchers have made great strides in elucidating the laws of image formation, processing, and understanding by animals, humans…
- Edition
- -
- ISBN/ISSN
- 9780262272513
- Collation
- 1 online resource (xxiv, 644 pages) :illustrations
- Series Title
- -
- Call Number
- 006 FAU g
Perceptrons :an introduction to computational geometry
"Reissue of the 1988 Expanded Edition with a new foreword by L?eon Bottou."The first systematic study of parallelism in computation by two pioneers in the field.Reissue of the 1988 Expanded Edition with a new foreword by Leon BottouIn 1969, ten years after the discovery of the perceptron--which showed that a machine could be taught to perform certain tasks using examples--Marvin Minsky and Seym…
- Edition
- [2017 edition].
- ISBN/ISSN
- 9780262343930
- Collation
- 1 online resource (xxiii, 292 pages) :illustrations
- Series Title
- -
- Call Number
- -
Nearest-neighbor methods in learning and vision :theory and practice
" ... held in Whistler, British Columbia ... annual conference on Neural Information Processing Systems (NIPS) in December 2003"--Preface.Regression and classification methods based on similarity of the input to stored examples have not been widely used in applications involving very large sets of high-dimensional data. Recent advances in computational geometry and machine learning, however, ma…
- Edition
- -
- ISBN/ISSN
- 9780262256957
- Collation
- 1 online resource (vi, 252 pages) :illustrations.
- Series Title
- -
- Call Number
- -
Turtle Geometry: The Computer as a Medium for Exploring Mathematics
Includes index.Turtle Geometry presents an innovative program of mathematical discovery that demonstrates how the effective use of personal computers can profoundly change the nature of a student's contact with mathematics. Using this book and a few simple computer programs, students can explore the properties of space by following an imaginary turtle across the screen. The concept of turtle ge…
- Edition
- -
- ISBN/ISSN
- 9780262362740
- Collation
- 1 online resource (xx, 477 pages :illustrations.
- Series Title
- -
- Call Number
- -
What is the Genus?
Exploring several of the evolutionary branches of the mathematical notion of genus, this book traces the idea from its prehistory in problems of integration, through algebraic curves and their associated Riemann surfaces, into algebraic surfaces, and finally into higher dimensions. Its importance in analysis, algebraic geometry, number theory and topology is emphasized through many theorems. Al…
- Edition
- -
- ISBN/ISSN
- 978-3-319-42312-8
- Collation
- -
- Series Title
- -
- Call Number
- -
Elementary Symplectic Topology and Mechanics
This is a short tract on the essentials of differential and symplectic geometry together with a basic introduction to several applications of this rich framework: analytical mechanics, the calculus of variations, conjugate points & Morse index, and other physical topics. A central feature is the systematic utilization of Lagrangian submanifolds and their Maslov-Hörmander generating functions. …
- Edition
- 1
- ISBN/ISSN
- 978-3-319-11026-4
- Collation
- 33 b/w illustrations, 11 illustrations in colour
- Series Title
- -
- Call Number
- -
From Geometry to Behavior: An Introduction to Spatial Cognition
An overview of the mechanisms and evolution of spatial cognition, integrating evidence from psychology, neuroscience, cognitive science, and computational geometry. Understanding how we deal with space requires input from many fields, including ethology, neuroscience, psychology, cognitive science, linguistics, geography, and spatial information theory. In From Geometry to Behavior, cognitiv…
- Edition
- Ed. 1
- ISBN/ISSN
- 780262377300
- Collation
- -
- Series Title
- -
- Call Number
- 516.3 MAL f
University of Toronto Mathematics Competition (2001–2015)
This text records the problems given for the first 15 annual undergraduate mathematics competitions, held in March each year since 2001 at the University of Toronto. Problems cover areas of single-variable differential and integral calculus, linear algebra, advanced algebra, analytic geometry, combinatorics, basic group theory, and number theory. The problems of the competitions are given in ch…
- Edition
- -
- ISBN/ISSN
- 978-3-319-28106-3
- Collation
- -
- Series Title
- -
- Call Number
- -
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