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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
- -
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Large Deviations and Asymptotic Methods in Finance
Topics covered in this volume (large deviations, differential geometry, asymptotic expansions, central limit theorems) give a full picture of the current advances in the application of asymptotic methods in mathematical finance, and thereby provide rigorous solutions to important mathematical and financial issues, such as implied volatility asymptotics, local volatility extrapolation, systemic …
- Edition
- 1
- ISBN/ISSN
- 978-3-319-11605-1
- Collation
- Mathematics
- Series Title
- -
- Call Number
- 510
Hyperbolicity of Projective Hypersurfaces
This book presents recent advances on Kobayashi hyperbolicity in complex geometry, especially in connection with projective hypersurfaces. This is a very active field, not least because of the fascinating relations with complex algebraic and arithmetic geometry. Foundational works of Serge Lang and Paul A. Vojta, among others, resulted in precise conjectures regarding the interplay of these res…
- Edition
- -
- ISBN/ISSN
- 978-3-319-32314-5
- Collation
- XIV, 89
- Series Title
- -
- Call Number
- 510 DIV h
Conformal Symmetry Breaking Operators for Differential Forms on Spheres
This work is the first systematic study of all possible conformally covariant differential operators transforming differential forms on a Riemannian manifold X into those on a submanifold Y with focus on the model space (X, Y) = (Sn, Sn-1). The authors give a complete classification of all such conformally covariant differential operators, and find their explicit formulæ in the flat coordinate…
- Edition
- 1
- ISBN/ISSN
- 9789811026577
- Collation
- ix, 192 pages
- Series Title
- Lecture Notes in Mathematics
- Call Number
- 516.36
Index Analysis Approach Theory at Work
The featured review of the AMS describes the author’s earlier work in the field of approach spaces as, ‘A landmark in the history of general topology’. In this book, the author has expanded this study further and taken it in a new and exciting direction. The number of conceptually and technically different systems which characterize approach spaces is increased and moreover their unifo…
- Edition
- 1
- ISBN/ISSN
- 978-1-4471-6484-5
- Collation
- XXI, 466
- Series Title
- Springer Monographs in Mathematics
- Call Number
- 510 LOW i
Configuration Spaces Geometry, Topology and Representation Theory
This book collects the scientific contributions of a group of leading experts who took part in the INdAM Meeting held in Cortona in September 2014. With combinatorial techniques as the central theme, it focuses on recent developments in configuration spaces from various perspectives. It also discusses their applications in areas ranging from representation theory, toric geometry and geometric g…
- Edition
- -
- ISBN/ISSN
- 9783319315805
- Collation
- -
- Series Title
- -
- Call Number
- 512.9
Arithmetically Cohen-Macaulay Sets of Points in P^1 x P^1
This brief presents a solution to the interpolation problem for arithmetically Cohen-Macaulay (ACM) sets of points in the multiprojective space P^1 x P^1. It collects the various current threads in the literature on this topic with the aim of providing a self-contained, unified introduction while also advancing some new ideas. The relevant constructions related to multiprojective spaces are r…
- Edition
- Ed. 1
- ISBN/ISSN
- 978-3-319-24166-1
- Collation
- VIII, 134
- Series Title
- SpringerBriefs in Mathematics
- Call Number
- 512.5 GUA a
Rigid Germs, the Valuative Tree, and Applications to Kato Varieties
This thesis deals with specific features of the theory of holomorphic dynamics in dimension 2 and then sets out to study analogous questions in higher dimensions, e.g. dealing with normal forms for rigid germs, and examples of Kato 3-folds. The local dynamics of holomorphic maps around critical points is still not completely understood, in dimension 2 or higher, due to the richness of the ge…
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- ISBN/ISSN
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