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The Visual Language of Technique Volume 1 - History and Epistemology
The book is inspired by the first seminar in a cycle connected to the celebrations of the 150th anniversary of the Politecnico di Milano. "Dealing with the Image Ivory Towers and Virtual Bridges" was the motto of this meeting, aiming to stimulate a discussion among engineers, designers and architects, all of whom are traditionally involved in the use of the Image as a specialized language suppo…
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- 978-3-319-05350-9
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The Visual Language of Technique Volume 3 - Heritage and Expectations in Edu…
The book is inspired by the third seminar in a cycle connected to the celebrations of the 150th anniversary of the Politecnico di Milano (July 2013). "Educating by Image. Teaching Styles vs Learning Styles" was the motto of this meeting. The contributions (coming from lectures, the poster session, interviews and round table) aim to propose an updated look at visual education, highlighting how d…
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- 978-3-319-05326-4
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Measures of Symmetry for Convex Sets and Stability
This textbook treats two important and related matters in convex geometry: the quantification of symmetry of a convex set—measures of symmetry—and the degree to which convex sets that nearly minimize such measures of symmetry are themselves nearly symmetric—the phenomenon of stability. By gathering the subject’s core ideas and highlights around Grünbaum’s general notion of measure of…
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- 978-3-319-23733-6
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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…
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- 978-3-662-45450-3
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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 …
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- 978-3-319-27666-3
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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…
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- 1
- ISBN/ISSN
- 978-3-319-33571-1
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- XII, 169
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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 …
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- 1
- ISBN/ISSN
- 1862-9113
- Collation
- XXVI, 232
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- Lecture Notes of the Unione Matematica Italiana
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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…
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- 1
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- 978-3-658-12389-5
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- VII, 50
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- BestMasters
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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…
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- 1
- ISBN/ISSN
- 978-3-319-26637-4
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- X, 151
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- Lecture Notes in Mathematics
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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 …
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- 1
- ISBN/ISSN
- 978-3-319-82325-6
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- XIV, 106
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- RSME Springer Series
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