Filter by
The Universe of Conics From the ancient Greeks to 21st century developments
This text presents the classical theory of conics in a modern form. It includes many novel results that are not easily accessible elsewhere. The approach combines synthetic and analytic methods to derive projective, affine and metrical properties, covering both Euclidean and non-Euclidean geometries. With more than two thousand years of history, conic sections play a fundamental role in nume…
- Edition
- -
- ISBN/ISSN
- 978-3-662-45450-3
- Collation
- -
- Series Title
- -
- Call Number
- -
The Spectrum of Hyperbolic Surfaces
This text is an introduction to the spectral theory of the Laplacian on compact or finite area hyperbolic surfaces. For some of these surfaces, called “arithmetic hyperbolic surfaces”, the eigenfunctions are of arithmetic nature, and one may use analytic tools as well as powerful methods in number theory to study them. After an introduction to the hyperbolic geometry of surfaces, with a …
- Edition
- -
- ISBN/ISSN
- 978-3-319-27666-3
- Collation
- -
- Series Title
- -
- Call Number
- -
Open Problems in the Geometry and Analysis of Banach Spaces
This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces. Assuming the reader has a working familiarity with the basic results of Banach space theory, the authors focus on concepts of basic linear geometry, convexity, approximation, optimization, differentiability, renormings, weak compact generating, Schauder bases and…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-33571-1
- Collation
- XII, 169
- Series Title
- -
- Call Number
- -
On the Geometry of Some Special Projective Varieties
“The book under review (awarded the 2015 Book Prize of the Unione Matematica Italiana) gives a survey of some classical and recent results on the geometry of projective varieties and its applications. … The book will be useful to anyone interested in classical algebraic geometry.” (Fyodor L. Zak, Mathematical Reviews, May, 2017) “The book under review covers fundamental aspects of the …
- Edition
- 1
- ISBN/ISSN
- 1862-9113
- Collation
- XXVI, 232
- Series Title
- Lecture Notes of the Unione Matematica Italiana
- Call Number
- -
Observables and Symmetries of n-Plectic Manifolds
Leonid Ryvkin gives a motivated and self-sustained introduction to n-plectic geometry with a special focus on symmetries. The relevant algebraic structures from scratch are developed. The author generalizes known symplectic notions, notably observables and symmetries, to the n-plectic case, culminating in solving the existence question for co-moment maps for general pre-n-plectic manifolds. Fin…
- Edition
- 1
- ISBN/ISSN
- 978-3-658-12389-5
- Collation
- VII, 50
- Series Title
- BestMasters
- Call Number
- -
Néron Models and Base Change
Presenting the first systematic treatment of the behavior of Néron models under ramified base change, this book can be read as an introduction to various subtle invariants and constructions related to Néron models of semi-abelian varieties, motivated by concrete research problems and complemented with explicit examples. Néron models of abelian and semi-abelian varieties have become an i…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-26637-4
- Collation
- X, 151
- Series Title
- Lecture Notes in Mathematics
- Call Number
- -
Numerical Semigroups and Applications
This work presents applications of numerical semigroups in Algebraic Geometry, Number Theory, and Coding Theory. Background on numerical semigroups is presented in the first two chapters, which introduce basic notation and fundamental concepts and irreducible numerical semigroups. The focus is in particular on free semigroups, which are irreducible; semigroups associated with planar curves are …
- Edition
- 1
- ISBN/ISSN
- 978-3-319-82325-6
- Collation
- XIV, 106
- Series Title
- RSME Springer Series
- Call Number
- -
Nonarchimedean and Tropical Geometry
This volume grew out of two Simons Symposia on "Nonarchimedean and tropical geometry" which took place on the island of St. John in April 2013 and in Puerto Rico in February 2015. Each meeting gathered a small group of experts working near the interface between tropical geometry and nonarchimedean analytic spaces for a series of inspiring and provocative lectures on cutting edge research, inter…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-80924-3
- Collation
- XIV, 526
- Series Title
- Simons Symposia
- Call Number
- -
Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic…
This text covers topics in algebraic geometry and commutative algebra with a strong perspective toward practical and computational aspects. The first four chapters form the core of the book. A comprehensive chart in the Preface illustrates a variety of ways to proceed with the material once these chapters are covered. In addition to the fundamentals of algebraic geometry—the elimination theor…
- Edition
- -
- ISBN/ISSN
- 978-3-319-16720-6
- Collation
- XVI, 646
- Series Title
- -
- Call Number
- 510 COX i
The Grassmannian Variety
This book gives a comprehensive treatment of the Grassmannian varieties and their Schubert subvarieties, focusing on the geometric and representation-theoretic aspects of Grassmannian varieties. Research of Grassmannian varieties is centered at the crossroads of commutative algebra, algebraic geometry, representation theory, and combinatorics. Therefore, this text uniquely presents an exciting …
- Edition
- 1
- ISBN/ISSN
- 978-1-4939-3082-1
- Collation
- X, 172, 84 b/w illustrations, 39 illustrations in colour
- Series Title
- Developments in Mathematics
- Call Number
- -
Computer Science, Information & General Works 
Philosophy & Psychology 
Religion 
Social Sciences 
Language 
Pure Science 
Applied Sciences 
Art & Recreation 
Literature 
History & Geography