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Mathematics RD sharma class 12 download
Guts of Surfaces and the Colored Jones Polynomial (Lecture Notes in Mathematics) English  180 pages  ISBN10: 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.

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 towa rds 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.

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 stu rdy foundations.

3D Math Primer for Graphics and Game Development, 2nd Edition English  846 pages  ISBN10: 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 inthetrenches 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 coo rdinate spaces, vectors, and matrices. It also covers orientation in three dimensions, calculus and dynamics, graphics, and parametric curves.

Mathematical and Analogical Reasoning of Young Learners English  240 pages  ISBN10: 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 standa rds for school mathematics for the new millennium. The book draws on longitudinal and crosscultural studies, conducted in the United States and Australia, of children's reasoning development as they progressed from preschool through the end of second grade.

How to Read and Do Proofs: An Introduction to Mathematical Thought Processes English  319 pages  ISBN10: 1118164024  PDF  4.45 MB

Nonabelian Jacobian of Projective Surfaces: Geometry and Representation Theory (Lecture Notes in Mathematics) English  235 pages  ISBN10: 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 Hodgelike structures, which produces a sheaf of reductive Lie algebras naturally attached to our Jacobian.

Computational Electromagnetics, 2nd Edition (Texts in Applied Mathematics) English  305 pages  ISBN10: 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.

Linear Spaces and Differentiation Theory (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)English  264 pages  ISBN10: 0471917869  PDF  28.05 MB This book presents a new basis for differential calculus. Classical differentiation in linear spaces of arbitrary dimension uses Banach spacesbut most function spaces are not Banach spaces. Any attempts to develop a theory of differentiation covering nonnormable 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.

Discrete and Computational Geometry English  280 pages  ISBN10: 0691145539  PDF  7.79 MB Discrete geometry is a relatively new development in pure mathematics, while computational geometry is an emerging area in applicationsdriven 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 cuttingedge frontier of mathematics and computer science.


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