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Future Vision and Trends on Shapes, Geometry and Algebra

Edición de Raffaele de Amicis, Giuseppe Conti ...

Series series Springer Nature Proceedings excluding Computer Science
Mathematical algorithms are a fundamental component of Computer Aided Design and Manufacturing (CAD/CAM) systems. This book provides a bridge between algebraic geometry and geometric modelling algorithms, formulated within a computer science framework.Apart from the algebraic geometry topics covered, the entire book is based on the unifying concept of using algebraic techniques – properly ... Leer más

$89.99 USD

Mathematical algorithms are a fundamental component of Computer Aided Design and Manufacturing (CAD/CAM) systems. This book provides a bridge between algebraic geometry and geometric modelling algorithms, formulated within a computer science framework.Apart from the algebraic geometry topics covered, the entire book is based on the unifying concept of using algebraic techniques – properly
... Leer más

Elliptic Tales

Curves, Counting, and Number Theory

de Avner Ash, Robert Gross ...

A look at one of the most exciting unsolved problems in mathematics todayElliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics—the Birch and Swinnerton-Dyer Conjecture. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The ... Leer más

$13.99 USD

A look at one of the most exciting unsolved problems in mathematics todayElliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics—the Birch and Swinnerton-Dyer Conjecture. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The
... Leer más
An Introduction to Mathematical Cryptography

de Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman ...

Series series Mathematics and Statistics (R0)
This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Only basic linear algebra is required of the reader; techniques from algebra, number ... Leer más

$80.99 USD

This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Only basic linear algebra is required of the reader; techniques from algebra, number
... Leer más
Hyperplane Arrangements

An Introduction

de Alexandru Dimca ...

Series series Mathematics and Statistics (R0)
This textbook provides an accessible introduction to the rich and beautiful area of hyperplane arrangement theory, where discrete mathematics, in the form of combinatorics and arithmetic, meets continuous mathematics, in the form of the topology and Hodge theory of complex algebraic varieties.The topics discussed in this book range from elementary combinatorics and discrete geometry to more ... Leer más

$71.99 USD

This textbook provides an accessible introduction to the rich and beautiful area of hyperplane arrangement theory, where discrete mathematics, in the form of combinatorics and arithmetic, meets continuous mathematics, in the form of the topology and Hodge theory of complex algebraic varieties.The topics discussed in this book range from elementary combinatorics and discrete geometry to more
... Leer más
Finitely Generated Abelian Groups and Similarity of Matrices over a Field

de Christopher Norman ...

Series series Mathematics and Statistics (R0)
At first sight, finitely generated abelian groups and canonical forms of matrices appear to have little in common. However, reduction to Smith normal form, named after its originator H.J.S.Smith in 1861, is a matrix version of the Euclidean algorithm and is exactly what the theory requires in both cases. Starting with matrices over the integers, Part 1 of this book provides a measured introduction ... Leer más

$31.99 USD

At first sight, finitely generated abelian groups and canonical forms of matrices appear to have little in common. However, reduction to Smith normal form, named after its originator H.J.S.Smith in 1861, is a matrix version of the Euclidean algorithm and is exactly what the theory requires in both cases. Starting with matrices over the integers, Part 1 of this book provides a measured introduction
... Leer más
Numerical Semigroups and Applications

de Abdallah Assi, Pedro A. García-Sánchez ...

Series series Mathematics and Statistics (R0)
This work presents applications of numerical semigroups in Algebraic Geometry, Number Theory, and Coding Theory. Background on numerical semigroups is presented in the first two chapters, which introduce basic notation and fundamental concepts and irreducible numerical semigroups. The focus is in particular on free semigroups, which are irreducible; semigroups associated with planar curves are of ... Leer más

$80.09 USD

This work presents applications of numerical semigroups in Algebraic Geometry, Number Theory, and Coding Theory. Background on numerical semigroups is presented in the first two chapters, which introduce basic notation and fundamental concepts and irreducible numerical semigroups. The focus is in particular on free semigroups, which are irreducible; semigroups associated with planar curves are of
... Leer más
Ideals, Varieties, and Algorithms

An Introduction to Computational Algebraic Geometry and Commutative Algebra

de David A. Cox, John Little, Donal O'Shea ...

Series series Mathematics and Statistics (R0)
This text covers topics in algebraic geometry and commutative algebra with a strong perspective toward practical and computational aspects. The first four chapters form the core of the book. A comprehensive chart in the Preface illustrates a variety of ways to proceed with the material once these chapters are covered. In addition to the fundamentals of algebraic geometry—the elimination theorem, ... Leer más

$44.99 USD

This text covers topics in algebraic geometry and commutative algebra with a strong perspective toward practical and computational aspects. The first four chapters form the core of the book. A comprehensive chart in the Preface illustrates a variety of ways to proceed with the material once these chapters are covered. In addition to the fundamentals of algebraic geometry—the elimination theorem,
... Leer más
Computations with Modular Forms

Proceedings of a Summer School and Conference, Heidelberg, August/September 2011

Edición de Gebhard Böckle, Gabor Wiese ...

Series series Springer Nature Proceedings excluding Computer Science
This volume contains original research articles, survey articles and lecture notes related to the Computations with Modular Forms 2011 Summer School and Conference, held at the University of Heidelberg. A key theme of the Conference and Summer School was the interplay between theory, algorithms and experiment.The 14 papers offer readers both, instructional courses on the latest algorithms for ... Leer más

$143.99 USD

This volume contains original research articles, survey articles and lecture notes related to the Computations with Modular Forms 2011 Summer School and Conference, held at the University of Heidelberg. A key theme of the Conference and Summer School was the interplay between theory, algorithms and experiment.The 14 papers offer readers both, instructional courses on the latest algorithms for
... Leer más
Polyhedral and Algebraic Methods in Computational Geometry

de Michael Joswig, Thorsten Theobald ...

Series series Mathematics and Statistics (R0)
Polyhedral and Algebraic Methods in Computational Geometry provides a thorough introduction into algorithmic geometry and its applications. It presents its primary topics from the viewpoints of discrete, convex and elementary algebraic geometry.The first part of the book studies classical problems and techniques that refer to polyhedral structures. The authors include a study on algorithms for ... Leer más

$71.99 USD

Polyhedral and Algebraic Methods in Computational Geometry provides a thorough introduction into algorithmic geometry and its applications. It presents its primary topics from the viewpoints of discrete, convex and elementary algebraic geometry.The first part of the book studies classical problems and techniques that refer to polyhedral structures. The authors include a study on algorithms for
... Leer más
On the Geometry of Some Special Projective Varieties

de Francesco Russo ...

Series series Mathematics and Statistics (R0)
Providing an introduction to both classical and modern techniques in projective algebraic geometry, this monograph treats the geometrical properties of varieties embedded in projective spaces, their secant and tangent lines, the behavior of tangent linear spaces, the algebro-geometric and topological obstructions to their embedding into smaller projective spaces, and the classification of extremal ... Leer más

$80.99 USD

Providing an introduction to both classical and modern techniques in projective algebraic geometry, this monograph treats the geometrical properties of varieties embedded in projective spaces, their secant and tangent lines, the behavior of tangent linear spaces, the algebro-geometric and topological obstructions to their embedding into smaller projective spaces, and the classification of extremal
... Leer más
Arithmetically Cohen-Macaulay Sets of Points in P^1 x P^1

de Elena Guardo, Adam Van Tuyl ...

Series series Mathematics and Statistics (R0)
This brief presents a solution to the interpolation problem for arithmetically Cohen-Macaulay (ACM) sets of points in the multiprojective space P^1 x P^1. It collects the various current threads in the literature on this topic with the aim of providing a self-contained, unified introduction while also advancing some new ideas. The relevant constructions related to multiprojective spaces are ... Leer más

$49.99 USD

This brief presents a solution to the interpolation problem for arithmetically Cohen-Macaulay (ACM) sets of points in the multiprojective space P^1 x P^1. It collects the various current threads in the literature on this topic with the aim of providing a self-contained, unified introduction while also advancing some new ideas. The relevant constructions related to multiprojective spaces are
... Leer más
Topics in Physical Mathematics

de Kishore Marathe ...

Series series Mathematics and Statistics (R0)
As many readers will know, the 20th century was a time when the fields of mathematics and the sciences were seen as two separate entities. Caused by the rapid growth of the physical sciences and an increasing abstraction in mathematical research, each party, physicists and mathematicians alike, suffered a misconception; not only of the opposition’s theoretical underpinning, but of how the two ... Leer más

$80.09 USD

As many readers will know, the 20th century was a time when the fields of mathematics and the sciences were seen as two separate entities. Caused by the rapid growth of the physical sciences and an increasing abstraction in mathematical research, each party, physicists and mathematicians alike, suffered a misconception; not only of the opposition’s theoretical underpinning, but of how the two
... Leer más

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Springer Nature Proceedings excluding Computer Science

Future Vision and Trends on Shapes, Geometry and Algebra

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Elliptic Tales

An Introduction to Mathematical Cryptography

Hyperplane Arrangements

Finitely Generated Abelian Groups and Similarity of Matrices over a Field

Numerical Semigroups and Applications

Ideals, Varieties, and Algorithms

Computations with Modular Forms

Polyhedral and Algebraic Methods in Computational Geometry

On the Geometry of Some Special Projective Varieties

Arithmetically Cohen-Macaulay Sets of Points in P^1 x P^1

Topics in Physical Mathematics

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