Mathematics

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Quadratic Irrationals: An Introduction to Classical Number Theory

1st Edition

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Franz Halter-Koch
June 17, 2013

Quadratic Irrationals: An Introduction to Classical Number Theory gives a unified treatment of the classical theory of quadratic irrationals. Presenting the material in a modern and elementary algebraic setting, the author focuses on equivalence, continued fractions, quadratic characters, quadratic ...

An Invitation to Algebraic Numbers and Algebraic Functions

1st Edition

Franz Halter-Koch
January 15, 2020

Through a set of related yet distinct texts, the author offers a thorough presentation of the classical theory of algebraic numbers and algebraic functions: Ideal- and valuation-theoretic aspects, L functions and class field theory, together with a presentation of algebraic foundations which are...

Algebra: Groups, Rings, and Fields

1st Edition

Louis Rowen
December 17, 2019

This text presents the concepts of higher algebra in a comprehensive and modern way for self-study and as a basis for a high-level undergraduate course. The author is one of the preeminent researchers in this field and brings the reader up to the recent frontiers of research including...

Glider Representations

1st Edition

Frederik Caenepeel, Fred Van Oystaeyen
November 25, 2019

Glider Representations offer several applications across different fields within Mathematics, thereby motivating the introduction of this new glider theory and opening numerous doors for future research, particularly with respect to more complex filtration chains. Features • Introduces new...

Leibniz Algebras: Structure and Classification

1st Edition

Shavkat Ayupov, Bakhrom Omirov, Isamiddin Rakhimov
November 21, 2019

Leibniz Algebras: Structure and Classification is designed to introduce the reader to the theory of Leibniz algebras. Leibniz algebra is the generalization of Lie algebras. These algebras preserve a unique property of Lie algebras that the right multiplication operators are derivations. They first...

An Introduction to Groups, Groupoids and Their Representations

1st Edition

Alberto Ibort, Miguel A. Rodriguez
November 04, 2019

This book offers an introduction to the theory of groupoids and their representations encompassing the standard theory of groups. Using a categorical language, developed from simple examples, the theory of finite groupoids is shown to knit neatly with that of groups and their structure as well as...

Lattice Point Identities and Shannon-Type Sampling

1st Edition

Willi Freeden, M. Zuhair Nashed
October 29, 2019

Lattice Point Identities and Shannon-Type Sampling demonstrates that significant roots of many recent facets of Shannon's sampling theorem for multivariate signals rest on basic number-theoretic results. This book leads the reader through a research excursion, beginning from the Gaussian circle...

An Introduction to Mathematical Proofs

1st Edition

Nicholas A. Loehr
October 11, 2019

An Introduction to Mathematical Proofs presents fundamental material on logic, proof methods, set theory, number theory, relations, functions, cardinality, and the real number system. The text uses a methodical, detailed, and highly structured approach to proof techniques and related topics. No...

Matrix Theory: From Generalized Inverses to Jordan Form

1st Edition

Robert Piziak, P.L. Odell
September 19, 2019

In 1990, the National Science Foundation recommended that every college mathematics curriculum should include a second course in linear algebra. In answer to this recommendation, Matrix Theory: From Generalized Inverses to Jordan Form provides the material for a second semester of linear algebra...

A First Graduate Course in Abstract Algebra

1st Edition

W.J. Wickless
September 05, 2019

Since abstract algebra is so important to the study of advanced mathematics, it is critical that students have a firm grasp of its principles and underlying theories before moving on to further study. To accomplish this, they require a concise, accessible, user-friendly textbook that is both...

A Primer of Algebraic Geometry: Constructive Computational Methods

1st Edition

Huishi Li, Freddy Van Oystaeyen
September 05, 2019

"Presents the structure of algebras appearing in representation theory of groups and algebras with general ring theoretic methods related to representation theory. Covers affine algebraic sets and the nullstellensatz, polynomial and rational functions, projective algebraic sets. Groebner basis,...

Extending Structures: Fundamentals and Applications

1st Edition

Ana Agore, Gigel Militaru
August 27, 2019

Extending Structures: Fundamentals and Applications treats the extending structures (ES) problem in the context of groups, Lie/Leibniz algebras, associative algebras and Poisson/Jacobi algebras. This concisely written monograph offers the reader an incursion into the extending structures problem...

Sequence Spaces and Summability over Valued Fields

1st Edition

P. N. Natarajan
July 15, 2019

Sequence spaces and summability over valued fields is a research book aimed at research scholars, graduate students and teachers with an interest in Summability Theory both Classical (Archimedean) and Ultrametric (non-Archimedean). The book presents theory and methods in the chosen topic, spread...

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