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Guts of Surfaces and the Colored Jones Polynomial (Lecture Notes in Mathematics)

Guts of Surfaces and the Colored Jones Polynomial (Lecture Notes in Mathematics)
English | 180 pages | ISBN-10: 364233301X | PDF | 3,92 MB

This monograph derives direct and concrete relations between colored Jones polynomials and the topology of incompressible spanning surfaces in knot and link complements. Under mild diagrammatic hypotheses, we prove that the growth of the degree of the colored Jones polynomials is a boundary slope of an essential surface in the knot complement.
Date: 13-06-2013, 17:46 | Read More

Lie Theory and Its Applications in Physics: IX International Workshop (Springer Proceedings in Mathematics & Statistics)

Lie Theory and Its Applications in Physics: IX International Workshop (Springer Proceedings in Mathematics & Statistics)
English | 568 pages | ASIN: B00C9TTS7Q | PDF | 3,42 MB

Traditionally, Lie Theory is a tool to build mathematical models for physical systems. Recently, the trend is towards geometrisation of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry which is very helpful in understanding its structure.
Date: 5-06-2013, 03:02 | Read More

Regular Functions of a Quaternionic Variable (Springer Monographs in Mathematics)

Regular Functions of a Quaternionic Variable (Springer Monographs in Mathematics)
English | 204 pages | ASIN: B00BLQHHEE | PDF | 3,81 MB

The theory of slice regular functions over quaternions is the central subject of the present volume. This recent theory has expanded rapidly, producing a variety of new results that have caught the attention of the international research community. At the same time, the theory has already developed sturdy foundations.
Date: 13-06-2013, 12:54 | Read More

3D Math Primer for Graphics and Game Development, 2nd Edition

3D Math Primer for Graphics and Game Development, 2nd Edition
English | 846 pages | ISBN-10: 1568817231 | PDF | 20.94 MB

This engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics. The text provides an introduction to mathematics for game designers, including the fundamentals of coordinate spaces, vectors, and matrices. It also covers orientation in three dimensions, calculus and dynamics, graphics, and parametric curves.
Date: 29-08-2013, 15:33 | Read More

Mathematical and Analogical Reasoning of Young Learners

Mathematical and Analogical Reasoning of Young Learners
English | 240 pages | ISBN-10: 0805849459 | PDF | 10.62 MB

Mathematical and Analogical Reasoning of Young Learners provides foundational knowledge of the nature, development, and assessment of mathematical and analogical reasoning in young children. Reasoning is fundamental to understanding mathematics and is identified as one of the 10 key standards for school mathematics for the new millennium. The book draws on longitudinal and cross-cultural studies, conducted in the United States and Australia, of children's reasoning development as they progressed from preschool through the end of second grade.
Date: 20-06-2013, 06:24 | Read More

How to Read and Do Proofs: An Introduction to Mathematical Thought Processes

How to Read and Do Proofs: An Introduction to Mathematical Thought Processes
English | 319 pages | ISBN-10: 1118164024 | PDF | 4.45 MB

Date: 22-04-2014, 00:53 | Read More

Nonabelian Jacobian of Projective Surfaces: Geometry and Representation Theory (Lecture Notes in Mathematics)

Nonabelian Jacobian of Projective Surfaces: Geometry and Representation Theory (Lecture Notes in Mathematics)
English | 235 pages | ISBN-10: 3642356613 | PDF | 4,06 MB

The Jacobian of a smooth projective curve is undoubtedly one of the most remarkable and beautiful objects in algebraic geometry. This work is an attempt to develop an analogous theory for smooth projective surfaces - a theory of the nonabelian Jacobian of smooth projective surfaces. Just like its classical counterpart, our nonabelian Jacobian relates to vector bundles (of rank 2) on a surface as well as its Hilbert scheme of points. But it also comes equipped with the variation of Hodge-like structures, which produces a sheaf of reductive Lie algebras naturally attached to our Jacobian.
Date: 7-06-2013, 14:46 | Read More

Computational Electromagnetics, 2nd Edition (Texts in Applied Mathematics)

Computational Electromagnetics, 2nd Edition (Texts in Applied Mathematics)
English | 305 pages | ISBN-10: 146145350X | PDF | 4.26 MB

Computational Electromagnetics is a young and growing discipline, expanding as a result of the steadily increasing demand for software for the design and analysis of electrical devices. This book introduces three of the most popular numerical methods for simulating electromagnetic fields: the finite difference method, the finite element method and the method of moments.
Date: 20-06-2013, 17:06 | Read More

Linear Spaces and Differentiation Theory (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)

Linear Spaces and Differentiation Theory (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)
English | 264 pages | ISBN-10: 0471917869 | PDF | 28.05 MB

This book presents a new basis for differential calculus. Classical differentiation in linear spaces of arbitrary dimension uses Banach spaces--but most function spaces are not Banach spaces. Any attempts to develop a theory of differentiation covering non-normable linear spaces have always involved arbitrary conditions. This book bases the theory of differentiability of linear spaces on the fundamental idea of reducing the differentiability of general maps to that of functions on the real numbers. And the property "continuously differentiable" is replaced by that of "Lipschitz differentiable.'' The result is a more natural theory, of conceptual simplicity that leads to the the same categories of linear spaces, but in a more general setting.
Date: 11-07-2013, 00:22 | Read More

Discrete and Computational Geometry

Discrete and Computational Geometry
English | 280 pages | ISBN-10: 0691145539 | PDF | 7.79 MB

Discrete geometry is a relatively new development in pure mathematics, while computational geometry is an emerging area in applications-driven computer science. Their intermingling has yielded exciting advances in recent years, yet what has been lacking until now is an undergraduate textbook that bridges the gap between the two. Discrete and Computational Geometry offers a comprehensive yet accessible introduction to this cutting-edge frontier of mathematics and computer science.
Date: 19-06-2013, 23:27 | Read More

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