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Advanced Topics of Topology
Topology is an area of mathematics that establishes relations and transformations between spaces with a certain structure depending on their position and considering the structure of the ambient space where these relations exist. This book discusses various concepts and theories of topology, including diffeomorphisms, immersions, Hausdorff spaces, cobordisms, homotopy theory, symplectic manifol…
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- ISBN/ISSN
- 9781803550954
- Collation
- 136 hlm; ill., lamp.,
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Advanced Problems in Mathematics : Preparing for University
"This new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge Colleges for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on…
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- ISBN/ISSN
- 9781783747764
- Collation
- 186 hlm,: ill, lamp; 21 cm
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Advanced Problems in Mathematics
"This new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge Colleges for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on…
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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…
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- ISBN/ISSN
- 9783031514623
- Collation
- XIV, 215
- Series Title
- 53
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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…
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- ISBN/ISSN
- 978-3-031-28153-2
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- VI, 143
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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…
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- ISBN/ISSN
- 9780262272513
- Collation
- 1 online resource (xxiv, 644 pages) :illustrations
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- 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…
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- [2017 edition].
- ISBN/ISSN
- 9780262343930
- Collation
- 1 online resource (xxiii, 292 pages) :illustrations
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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…
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- ISBN/ISSN
- 9780262256957
- Collation
- 1 online resource (vi, 252 pages) :illustrations.
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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…
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- ISBN/ISSN
- 9780262362740
- Collation
- 1 online resource (xx, 477 pages :illustrations.
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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…
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- 978-3-319-42312-8
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