Author: Fine
Publisher: CRC Press
ISBN: 9780824781927
Category : Mathematics
Languages : en
Pages : 272
Book Description
Algebraic Theory of the Bianchi Groups
Author: Fine
Publisher: CRC Press
ISBN: 9780824781927
Category : Mathematics
Languages : en
Pages : 272
Book Description
Publisher: CRC Press
ISBN: 9780824781927
Category : Mathematics
Languages : en
Pages : 272
Book Description
Algebraic Generalizations of Discrete Groups
Author: Benjamin Fine
Publisher: CRC Press
ISBN: 9780824703196
Category : Mathematics
Languages : en
Pages : 338
Book Description
A survey of one-relator products of cyclics or groups with a single defining relation, extending the algebraic study of Fuchsian groups to the more general context of one-relator products and related group theoretical considerations. It provides a self-contained account of certain natural generalizations of discrete groups.
Publisher: CRC Press
ISBN: 9780824703196
Category : Mathematics
Languages : en
Pages : 338
Book Description
A survey of one-relator products of cyclics or groups with a single defining relation, extending the algebraic study of Fuchsian groups to the more general context of one-relator products and related group theoretical considerations. It provides a self-contained account of certain natural generalizations of discrete groups.
Orders and Generic Constructions of Units
Author: Eric Jespers
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110386178
Category : Mathematics
Languages : en
Pages : 584
Book Description
This two-volume graduate textbook gives a comprehensive, state-of-the-art account of describing large subgroups of the unit group of the integral group ring of a finite group and, more generally, of the unit group of an order in a finite dimensional semisimple rational algebra. Since the book is addressed to graduate students as well as young researchers, all required background on these diverse areas, both old and new, is included. Supporting problems illustrate the results and complete some of the proofs. Volume 1 contains all the details on describing generic constructions of units and the subgroup they generate. Volume 2 mainly is about structure theorems and geometric methods. Without being encyclopaedic, all main results and techniques used to achieve these results are included. Basic courses in group theory, ring theory and field theory are assumed as background.
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110386178
Category : Mathematics
Languages : en
Pages : 584
Book Description
This two-volume graduate textbook gives a comprehensive, state-of-the-art account of describing large subgroups of the unit group of the integral group ring of a finite group and, more generally, of the unit group of an order in a finite dimensional semisimple rational algebra. Since the book is addressed to graduate students as well as young researchers, all required background on these diverse areas, both old and new, is included. Supporting problems illustrate the results and complete some of the proofs. Volume 1 contains all the details on describing generic constructions of units and the subgroup they generate. Volume 2 mainly is about structure theorems and geometric methods. Without being encyclopaedic, all main results and techniques used to achieve these results are included. Basic courses in group theory, ring theory and field theory are assumed as background.
A First Graduate Course in Abstract Algebra
Author: William Jennings Wickless
Publisher: CRC Press
ISBN: 0824757181
Category : Mathematics
Languages : en
Pages : 232
Book Description
Realizing the specific needs of first-year graduate students, this reference allows readers to grasp and master fundamental concepts in abstract algebra-establishing a clear understanding of basic linear algebra and number, group, and commutative ring theory and progressing to sophisticated discussions on Galois and Sylow theory, the structure of abelian groups, the Jordan canonical form, and linear transformations and their matrix representations.
Publisher: CRC Press
ISBN: 0824757181
Category : Mathematics
Languages : en
Pages : 232
Book Description
Realizing the specific needs of first-year graduate students, this reference allows readers to grasp and master fundamental concepts in abstract algebra-establishing a clear understanding of basic linear algebra and number, group, and commutative ring theory and progressing to sophisticated discussions on Galois and Sylow theory, the structure of abelian groups, the Jordan canonical form, and linear transformations and their matrix representations.
A Course in Mathematical Cryptography
Author: Gilbert Baumslag
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 311038616X
Category : Computers
Languages : en
Pages : 476
Book Description
Cryptography has become essential as bank transactions, credit card infor-mation, contracts, and sensitive medical information are sent through inse-cure channels. This book is concerned with the mathematical, especially algebraic, aspects of cryptography. It grew out of many courses presented by the authors over the past twenty years at various universities and covers a wide range of topics in mathematical cryptography. It is primarily geared towards graduate students and advanced undergraduates in mathematics and computer science, but may also be of interest to researchers in the area. Besides the classical methods of symmetric and private key encryption, the book treats the mathematics of cryptographic protocols and several unique topics such as Group-Based Cryptography Gröbner Basis Methods in Cryptography Lattice-Based Cryptography
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 311038616X
Category : Computers
Languages : en
Pages : 476
Book Description
Cryptography has become essential as bank transactions, credit card infor-mation, contracts, and sensitive medical information are sent through inse-cure channels. This book is concerned with the mathematical, especially algebraic, aspects of cryptography. It grew out of many courses presented by the authors over the past twenty years at various universities and covers a wide range of topics in mathematical cryptography. It is primarily geared towards graduate students and advanced undergraduates in mathematics and computer science, but may also be of interest to researchers in the area. Besides the classical methods of symmetric and private key encryption, the book treats the mathematics of cryptographic protocols and several unique topics such as Group-Based Cryptography Gröbner Basis Methods in Cryptography Lattice-Based Cryptography
Problems and Examples in Differential Equations
Author: Piotr Biler
Publisher: CRC Press
ISBN: 1000104753
Category : Mathematics
Languages : en
Pages : 261
Book Description
This book presents original problems from graduate courses in pure and applied mathematics and even small research topics, significant theorems and information on recent results. It is helpful for specialists working in differential equations.
Publisher: CRC Press
ISBN: 1000104753
Category : Mathematics
Languages : en
Pages : 261
Book Description
This book presents original problems from graduate courses in pure and applied mathematics and even small research topics, significant theorems and information on recent results. It is helpful for specialists working in differential equations.
Aspects of Infinite Groups
Author: Benjamin Fine
Publisher: World Scientific
ISBN: 9812793410
Category : Mathematics
Languages : en
Pages : 253
Book Description
This book is a festschrift in honor of Professor Anthony Gaglione''s sixtieth birthday. This volume presents an excellent mix of research and expository articles on various aspects of infinite group theory. The papers give a broad overview of present research in infinite group theory in general, and combinatorial group theory and non-Abelian group-based cryptography in particular. They also pinpoint the interactions between combinatorial group theory and mathematical logic, especially model theory.
Publisher: World Scientific
ISBN: 9812793410
Category : Mathematics
Languages : en
Pages : 253
Book Description
This book is a festschrift in honor of Professor Anthony Gaglione''s sixtieth birthday. This volume presents an excellent mix of research and expository articles on various aspects of infinite group theory. The papers give a broad overview of present research in infinite group theory in general, and combinatorial group theory and non-Abelian group-based cryptography in particular. They also pinpoint the interactions between combinatorial group theory and mathematical logic, especially model theory.
Classical Sequences in Banach SPates
Author: Sylvia Guerre-Delabriere
Publisher: CRC Press
ISBN: 9780824787233
Category : Mathematics
Languages : en
Pages : 234
Book Description
Publisher: CRC Press
ISBN: 9780824787233
Category : Mathematics
Languages : en
Pages : 234
Book Description
Integral and Discrete Transforms with Applications and Error Analysis
Author: Abdul Jerri
Publisher: CRC Press
ISBN: 1000104311
Category : Mathematics
Languages : en
Pages : 848
Book Description
This reference/text desribes the basic elements of the integral, finite, and discrete transforms - emphasizing their use for solving boundary and initial value problems as well as facilitating the representations of signals and systems.;Proceeding to the final solution in the same setting of Fourier analysis without interruption, Integral and Discrete Transforms with Applications and Error Analysis: presents the background of the FFT and explains how to choose the appropriate transform for solving a boundary value problem; discusses modelling of the basic partial differential equations, as well as the solutions in terms of the main special functions; considers the Laplace, Fourier, and Hankel transforms and their variations, offering a more logical continuation of the operational method; covers integral, discrete, and finite transforms and trigonometric Fourier and general orthogonal series expansion, providing an application to signal analysis and boundary-value problems; and examines the practical approximation of computing the resulting Fourier series or integral representation of the final solution and treats the errors incurred.;Containing many detailed examples and numerous end-of-chapter exercises of varying difficulty for each section with answers, Integral and Discrete Transforms with Applications and Error Analysis is a thorough reference for analysts; industrial and applied mathematicians; electrical, electronics, and other engineers; and physicists and an informative text for upper-level undergraduate and graduate students in these disciplines.
Publisher: CRC Press
ISBN: 1000104311
Category : Mathematics
Languages : en
Pages : 848
Book Description
This reference/text desribes the basic elements of the integral, finite, and discrete transforms - emphasizing their use for solving boundary and initial value problems as well as facilitating the representations of signals and systems.;Proceeding to the final solution in the same setting of Fourier analysis without interruption, Integral and Discrete Transforms with Applications and Error Analysis: presents the background of the FFT and explains how to choose the appropriate transform for solving a boundary value problem; discusses modelling of the basic partial differential equations, as well as the solutions in terms of the main special functions; considers the Laplace, Fourier, and Hankel transforms and their variations, offering a more logical continuation of the operational method; covers integral, discrete, and finite transforms and trigonometric Fourier and general orthogonal series expansion, providing an application to signal analysis and boundary-value problems; and examines the practical approximation of computing the resulting Fourier series or integral representation of the final solution and treats the errors incurred.;Containing many detailed examples and numerous end-of-chapter exercises of varying difficulty for each section with answers, Integral and Discrete Transforms with Applications and Error Analysis is a thorough reference for analysts; industrial and applied mathematicians; electrical, electronics, and other engineers; and physicists and an informative text for upper-level undergraduate and graduate students in these disciplines.
European Women In Mathematics, Proceedings Of The Tenth General Meeting
Author: Emilia Mezzetti
Publisher: World Scientific
ISBN: 9814487287
Category : Business & Economics
Languages : en
Pages : 420
Book Description
This volume can be divided into two parts: a purely mathematical part with contributions on finance mathematics, interactions between geometry and physics and different areas of mathematics; another part on the popularization of mathematics and the situation of women in mathematics.
Publisher: World Scientific
ISBN: 9814487287
Category : Business & Economics
Languages : en
Pages : 420
Book Description
This volume can be divided into two parts: a purely mathematical part with contributions on finance mathematics, interactions between geometry and physics and different areas of mathematics; another part on the popularization of mathematics and the situation of women in mathematics.