Mathematics

Algebra

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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 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...

Numerical Methods in Computational Mechanics

1st Edition

Jamshid Ghaboussi, Xiping Steven Wu
June 12, 2019

This book explores the numerical algorithms underpinning modern finite element based computational mechanics software. It covers all the major numerical methods that are used in computational mechanics. It reviews the basic concepts in linear algebra and advanced matrix theory, before covering...

Certain Number-Theoretic Episodes In Algebra, Second Edition

2nd Edition


March 26, 2019

The book attempts to point out the interconnections between number theory and algebra with a view to making a student understand certain basic concepts in the two areas forming the subject-matter of the book....

Exploring Linear Algebra: Labs and Projects with MATLAB®

1st Edition

Crista Arangala
March 18, 2019

Exploring Linear Algebra: Labs and Projects with MATLAB® is a hands-on lab manual that can be used by students and instructors in classrooms every day to guide the exploration of the theory and applications of linear algebra. For the most part, labs discussed in the book can be used individually or...

Fundamentals of Linear Algebra

1st Edition

J.S. Chahal
December 28, 2018

Fundamentals of Linear Algebra is like no other book on the subject. By following a natural and unified approach to the subject it has, in less than 250 pages, achieved a more complete coverage of the subject than books with more than twice as many pages. For example, the textbooks in use in the...

Computer Algebra: Concepts and Techniques

1st Edition

Edmund A. Lamagna
December 18, 2018

The goal of Computer Algebra: Concepts and Techniques is to demystify computer algebra systems for a wide audience including students, faculty, and professionals in scientific fields such as computer science, mathematics, engineering, and physics. Unlike previous books, the only prerequisites are...

Pencils of Cubics and Algebraic Curves in the Real Projective Plane

1st Edition

Séverine Fiedler - Le Touzé
November 26, 2018

Pencils of Cubics and Algebraic Curves in the Real Projective Plane thoroughly examines the combinatorial configurations of n generic points in RP². Especially how it is the data describing the mutual position of each point with respect to lines and conics passing through others. The first section...

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