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An Introduction to K-theory

By: Eric M. Friedlander

Description: This note provides an overview of various aspects of algebraic K-theory, with the intention of making these lectures accessible to participants with little or no prior knowledge of the subject.

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Lectures on Topics in Algebraic K-theory I

By: Hyman Bass

Description: This volume is an introductory textbook to K-theory, both algebraic and topological, and to various current research topics within the field, including Kasparov's bivariant K-theory, the Baum-Connes conjecture, the comparison between algebraic and topological K-theory of topological algebras, the K-theory of schemes, and the theory of dg-categories.

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Algebraic K-theory

By: Kathryn Hess

Description: Algebraic K-theory, which to any ring R associates a sequence of groups K0R, K1R, K2R, etc., can be viewed as a theory of linear algebra over an arbitrary ring. In this course we take a homotopy-theoretic approach to the definition of the algebraic K-theory groups.

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Lecture Notes on Algebraic K-theory II

By: John Rognes

Description: The 'algebraic K-theory presented here is, essentially, a part of general linear algebra. It is concerned with the structure theory of projective modules, and of their automorphism groups. Thus, it is a generalization, in the most naive sense, off the theorem asserting the existence and uniqueness of bases for vector spaces, and of the group theory of the general linear group over a field. One witnesses here the evolution of these theorems as the base ring b...

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A Geometric Introduction to K Theory

By: Danel Dugger

Description: This is one day going to be a textbook on K-theory, with a particular emphasis on connections with geometric phenomena like intersection multiplicities.

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Lectures on K-theory II

By: Max Karoubi

Description: This series of lectures gives an introduction to K-theory, including both topological K-theory and algebraic K-theory, and also discussing some aspects of Hermitian K-theory and cyclic homology. They also include a survey of several contemporary developments and applications.

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Introductory Number Theory

By: Michael Stoll
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Lectures on Differential Geometry II

By: Wulf Rossmann

Description: This note contains on the following subtopics of Differential Geometry, Manifolds, Connections and curvature, Calculus on manifolds and Special topics.

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Practical Descriptive Geometry

By: Smith, William Griswold, 1869-1943

Geometry, Descriptive

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Acta Mathematica

Description: English, French, German

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Lectures on Riemannian Geometry Complex Manifolds

By: Stefan Vandoren

Description: This is an introductory lecture note on the geometry of complex manifolds. Topics discussed are: almost complex structures and complex structures on a Riemannian manifold, symplectic manifolds, Kahler manifolds and Calabi-Yau manifolds,hyperkahler geometries.

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Differential Topology by Bjorn Ian Dundas

By: Bjorn Ian Dundas

Description: This note covers the following topics: Smooth manifolds, The tangent space, Regular values, Vector bundles, Constructions on vector bundles and Integrability.

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L'Enseignement Mathématique

By: International Commission on Mathematical Instruction

Description: Official organ of the International Commission on Mathematical Instruction, 1955-

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Linear Filters, Sampling and Fourier Analysis II

By: Professor Allan Jepson

Description: Goal of this note is to explain Mathematical foundations for digital image analysis, representation and transformation. Covered topics are: Sampling Continuous Signals, Linear Filters and Convolution, Fourier Analysis, Sampling and Aliasing.

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Cmms 11 Fourier Analysis

By: Yu. Safarov

Description: This note covers the following topics: Measures and measure spaces, Lebesgue's measure, Measurable functions, Construction of integrals, Convergence of integrals, Lebesgue's dominated convergence theorem, Comparison of measures, The Lebesgue spaces, Distributions and Operations with distributions.

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Lecture Notes on the Lambda Calculus

By: Peter Selinger

Description: This is a set of lecture notes that developed out of courses on the lambda calculus that I taught at the University of Ottawa in 2001 and at Dalhousie University in 2007 and 2013. Topics covered in these notes include the untyped lambda calculus, the Church-Rosser theorem, combinatory algebras, the simply-typed lambda calculus, the Curry-Howard isomorphism, weak and strong normalization, polymorphism, type inference, denotational semantics, complete partial ...

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C Star Algebras ; Mathematical Analysis

By: Ivan F Wilde

Description: This note explains the following topics: Banach Spaces, Gelfand Theory and C* algebras, The Spectral Theorem, Positive elements of a C* algebra and Homomorphisms.

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Acta Mathematica

Description: English, French, German

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Elementary Trigonometry

By: Knight, S. R. (Samuel Ratcliffe)

Description: Ed. 4-5

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Darstellende Geometrie

By: Schroder, Johannes, 1865
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