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Encyclopedia of Analytical Surfaces
This encyclopedia presents an all-embracing collection of analytical surface classes. It provides concise definitions and description for more than 500 surfaces and categorizes them in 38 classes of analytical surfaces. All classes are cross references to the original literature in an excellent bibliography. The encyclopedia is of particular interest to structural and civil engineers and serve…
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- -
- ISBN/ISSN
- 978-3-319-11773-7
- Collation
- Original Russian edition published by URSS/Librokom, 2010
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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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- ISBN/ISSN
- 978-3-662-45450-3
- Collation
- -
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Moduli of Weighted Hyperplane Arrangements
This book focuses on a large class of geometric objects in moduli theory and provides explicit computations to investigate their families. Concrete examples are developed that take advantage of the intricate interplay between Algebraic Geometry and Combinatorics. Compactifications of moduli spaces play a crucial role in Number Theory, String Theory, and Quantum Field Theory – to mention just …
- Edition
- 1
- ISBN/ISSN
- 2297-0304
- Collation
- -
- Series Title
- Advanced Courses in Mathematics - CRM Barcelona
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Moduli Spaces of Riemannian Metrics
This book studies certain spaces of Riemannian metrics on both compact and non-compact manifolds. These spaces are defined by various sign-based curvature conditions, with special attention paid to positive scalar curvature and non-negative sectional curvature, though we also consider positive Ricci and non-positive sectional curvature. If we form the quotient of such a space of metrics under t…
- Edition
- 1
- ISBN/ISSN
- 978-3-0348-0948-1
- Collation
- -
- Series Title
- Oberwolfach Seminars
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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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- ISBN/ISSN
- 978-3-319-27666-3
- Collation
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Minimum Action Curves in Degenerate Finsler Metrics
Presenting a study of geometric action functionals (i.e., non-negative functionals on the space of unparameterized oriented rectifiable curves), this monograph focuses on the subclass of those functionals whose local action is a degenerate type of Finsler metric that may vanish in certain directions, allowing for curves with positive Euclidean length but with zero action. For such functionals, …
- Edition
- 1
- ISBN/ISSN
- 978-3-319-17752-6
- Collation
- XV, 186
- Series Title
- Lecture Notes in Mathematics
- Call Number
- -
Methods of Solving Nonstandard Problems
This book, written by an accomplished female mathematician, is the second to explore nonstandard mathematical problems – those that are not directly solved by standard mathematical methods but instead rely on insight and the synthesis of a variety of mathematical ideas. It promotes mental activity as well as greater mathematical skills, and is an ideal resource for successful preparation fo…
- Edition
- 1
- ISBN/ISSN
- 978-3-319-19886-6
- Collation
- XXI, 327
- Series Title
- -
- Call Number
- -
Geometry
Geometry is used in many areas—from art to science. For example, geometry plays a key role in construction, fashion design, architecture, and computer graphics. This course focuses on the main ideas of geometry that are the foundation of applications of geometry used everywhere. In this chapter, you’ll study the basic elements of geometry. Later you will prove things about geometric shapes …
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- ISBN/ISSN
- -
- Collation
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- Series Title
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- Call Number
- 516
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