Algebraic Numbers
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A Practical Treatise on Algebra
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Elements of Number Theory
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Matrix Theory
This book reviews current research, including applications of matrices, spaces, and other characteristics. It discusses the application of matrices, which has become an area of great importance in many scientific fields. The theory of row/column determinants of a partial solution to the system of two-sided quaternion matrix equations is analyzed. It introduces a matrix that has the exponential function as one of its eigenvectors and realizes that this matrix represents finite difference derivation of vectors on a partition. Mixing problems and the corresponding associated matrices have different structures that deserve to be studied in depth. Special compound magic squares will be considered. Finally, a new type of regular matrix generated by Fibonacci numbers is introduced and we shall investigate its various topological properties.
The Elements of Algebra, With Numerous Exercises for Viva Voce and Written Work [microform]
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Additive Zahlentheorie. --; 1
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Adaptive Control Processes
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Introduction to Quaternions
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Commercial Algebra
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Higher Algebra for Schools
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Equalities and Approximations, With Fortran Programming
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University Freshman Mathematics, With Algebra and Trigonometry
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A Practical Treatise on Algebra
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New Higher Algebra
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Theory of Matrices. --
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The High School Algebra,
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Proceedings of the Bostonian Society, Annual Meeting; 1892
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Proceedings of the Bostonian Society, Annual Meeting; 1903
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Proceedings of the Bostonian Society, Annual Meeting; 1886
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Proceedings of the Bostonian Society, Annual Meeting; 1889
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Proceedings of the Bostonian Society, Annual Meeting; 1885
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Proceedings of the Bostonian Society, Annual Meeting; 1899
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Key to Deductions in the Public School Euclid and Algebra, Propositions I.-XXVI [microform]
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Annual Report; 2010/2011
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A Method of Approximation
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Joint Bulletin; no.1 (1915)
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Rudimentary Algebra [microform]
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Answers to Tests in Textbook
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On Pairs of Diophantine Equations.
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Proceedings of the Bostonian Society, Annual Meeting; 1908
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Lectures on General Algebra
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An Introduction to the Geometry of Numbers
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Algebraic Numbers
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The High School Algebra [microform]
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Key to the Teacher's Hand-book of Algebra [microform]
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A Complete Algebra for Schools and Colleges
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Vectors, a Programmed Text for Introductory Physics
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The Fascination of Numbers
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Elementary College Algebra
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Mathematics for Today
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Lectures on the Icosahedron and the Solution of Equations of the Fifth Degree
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Almost Regular Forms.
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The Transmission of Information
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Annual Report; 1964/1965
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Classical Hopf Algebras and Their Applications
This book is dedicated to the structure and combinatorics of classical Hopf algebras. Its main focus is on commutative and cocommutative Hopf algebras, such as algebras of representative functions on groups and enveloping algebras of Lie algebras, as explored in the works of Borel, Cartier, Hopf and others in the 1940s and 50s.The modern and systematic treatment uses the approach of natural operations, illuminating the structure of Hopf algebras by means of their endomorphisms and their combinatorics. Emphasizing notions such as pseudo-coproducts, characteristic endomorphisms, descent algebras and Lie idempotents, the text also covers the important case of enveloping algebras of pre-Lie algebras. A wide range of applications are surveyed, highlighting the main ideas and fundamental results.Suitable as a textbook for masters or doctoral level programs, this book will be of interest to algebraists and anyone working in one of the fields of application of Hopf algebras.
Galois Theory and Its Algebraic Background
Galois Theory, the theory of polynomial equations and their solutions, is one of the most fascinating and beautiful subjects of pure mathematics. Using group theory and field theory, it provides a complete answer to the problem of the solubility of polynomial equations by radicals: that is, determining when and how a polynomial equation can be solved by repeatedly extracting roots using elementary algebraic operations. This textbook contains a fully detailed account of Galois Theory and the algebra that it needs and is suitable both for those following a course of lectures and the independent reader (who is assumed to have no previous knowledge of Galois Theory). The second edition has been significantly revised and re-ordered; the first part develops the basic algebra that is needed, and the second a comprehensive account of Galois Theory. There are applications to ruler-and- compass constructions, and to the solution of classical mathematical problems of ancient times. There are new exercises throughout, and carefully-selected examples will help the reader develop a clear understanding of the mathematical theory.
Galois Theory and Its Algebraic Background
Galois Theory, the theory of polynomial equations and their solutions, is one of the most fascinating and beautiful subjects of pure mathematics. Using group theory and field theory, it provides a complete answer to the problem of the solubility of polynomial equations by radicals: that is, determining when and how a polynomial equation can be solved by repeatedly extracting roots using elementary algebraic operations. This textbook contains a fully detailed account of Galois Theory and the algebra that it needs and is suitable both for those following a course of lectures and the independent reader (who is assumed to have no previous knowledge of Galois Theory). The second edition has been significantly revised and re-ordered; the first part develops the basic algebra that is needed, and the second a comprehensive account of Galois Theory. There are applications to ruler-and- compass constructions, and to the solution of classical mathematical problems of ancient times. There are new exercises throughout, and carefully-selected examples will help the reader develop a clear understanding of the mathematical theory.
Introduction to Linear Algebra
This book is designed for students who have never been exposed to the topics in a linear algebra course. The text is filled with interesting and diverse application sections but is also a theoretical text which aims to train students to do succinct computation in a knowledgeable way.