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Lectures on Fundamental Concepts of Algebra and Geometry

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Lectures On Algebra - Volume 1

forthcoming sequel, Lectures on Algebra II, will serve as a textbook for a linear algebra course. The author's fondness for algebraic geometry shows;

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Galois Groups & Fundamental Groups

Ever since the concepts of Galois groups in algebra and fundamental groups in topology emerged during the nineteenth century;

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Lectures on Algebraic Geometry I: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces

algebra, theory of sheaves, and sheaf cohomology are developed. These methods are indispensable for modern algebraic geometry, but they are also;

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Algebra 3

homology theory in an abelian category together with some important and fundamental applications in geometry, topology, algebraic geometry;

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Algebra 3

homology theory in an abelian category together with some important and fundamental applications in geometry, topology, algebraic geometry;

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(Mostly) Commutative Algebra

This book stems from lectures on commutative algebra for 4th-year university students at two French universities (Paris and Rennes). At;

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Affine And Projective Geometry

An important new perspective on AFFINE AND PROJECTIVE GEOMETRY This innovative book treats math majors and math education students to a;

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A First Course in Differential Geometry

students. It is based on lectures given by the author at several universities, and discusses calculus, topology, and linear algebra.;

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A First Course in Differential Geometry

students. It is based on lectures given by the author at several universities, and discusses calculus, topology, and linear algebra.;

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Gems of Geometry

Based on a series of lectures for adult students, this is a lively and entertaining text that explains many of the key concepts in geometry;

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Lectures on Arakelov Geometry

number theorists, background material on differential geometry is described, but techniques from algebra and analysis are covered as well;

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Perspectives on Projective Geometry

Projective geometry is one of the most fundamental and at the same time most beautiful branches of geometry. It can be considered the;

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Application of Elementary Differential Geometry to Influence Analysis

With linear algebra and vector calculus as pre-requisites, the first part of this textbook presents an introduction to the geometry;

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Quantum Groups and Noncommutative Geometry

in algebra to take up the study of Hopf algebras and quantum groups. In this expanded write-up of those lectures, Manin systematically develops an;

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Lectures on Invariant Theory

algebraic geometry. Based on lectures given at University of Michigan, Harvard University and Seoul National University, the book is written in an;

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Algebraic Geometry

overview of the results required from algebra and proceeds to the fundamental concepts of the general theory of algebraic varieties: general point;

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Algebraic Geometry for Beginners

This book offers a self-contained elementary introduction to the fundamental concepts and techniques of Algebraic Geometry, leading to some;

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Vectors in Three-Dimensional Space

prior knowledge of Euclidean and Cartesian geometry, Professor Chrisholm here bases the subject on the axioms of linear space algebra, which are;

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Algebraic K-Theory

Algebraic K-Theory has become an increasingly active area of research. With its connections to algebra, algebraic geometry, topology, and;

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Quantization, PDEs, and Geometry

-Riemannian geometry. The contributions are based on lectures given by distinguished experts at a summer school in Goettingen. The authors explain;

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Quantization PDEs and Geometry

-Riemannian geometry. The contributions are based on lectures given by distinguished experts at a summer school in Goettingen. The authors explain;

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Advances in Commutative Ring Theory

developments in commutative algebra and related areas-featuring 26 original research articles and six survey articles on fundamental topics of current;

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Lectures on Surfaces

discussion of the metric geometry of surfaces, and the associated isometry groups. Subsequent chapters introduce fundamental mathematical structures;

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Mirrors and Reflections: The Geometry of Finite Reflection Groups

approach is based on fundamental geometric considerations in Coxeter complexes, and emphasizes the intuitive geometric aspects of the theory;

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Analytic Methods in Algebraic Geometry

This volume is an expansion of lectures given by the author at the Park City Mathematics Institute (Utah) in 2008, and on other occasions;

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Lectures on Logarithmic Algebraic Geometry

field, from the basic results on convex geometry and commutative monoids to the theory of logarithmic schemes and their de Rham and Betti;

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