Download or read book The Theory of Determinants Matrices and Invariants written by Herbert Westren Turnbull and published by . This book was released on 1928 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Theory of Determinants Matrices and Invariants written by Herbert Westren Turnbull and published by . This book was released on 1960 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Theory of Determinants Matrices and Invariants written by H. W. Turnbull and published by . This book was released on 1948 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Theory of Determinants Matrices and Invariants written by H. W. Turnbull and published by . This book was released on 1928 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Theory of Determinants Matrices and Invariants written by George Martelli and published by . This book was released on 1960 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to the Theory of Determinants and Matrices written by Edward Tankard Browne and published by UNC Press Books. This book was released on 2018-08-25 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text and reference book for mathematics students and for many people working in the social sciences contains in one volume the most important properties of matrices and determinants whose elements are real or complex numbers. The theory is developed from the classical point of view of Bocher, Wedderburn, MacDuffee, and Erobernus. Originally published in 1958. A UNC Press Enduring Edition -- UNC Press Enduring Editions use the latest in digital technology to make available again books from our distinguished backlist that were previously out of print. These editions are published unaltered from the original, and are presented in affordable paperback formats, bringing readers both historical and cultural value.
Download or read book Topics in Matrix Analysis written by Roger A. Horn and published by Cambridge University Press. This book was released on 1994-06-24 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats several topics in matrix theory not included in its predecessor volume, Matrix Analysis.
Download or read book A Treatise on the Theory of Determinants written by Sir Thomas Muir and published by . This book was released on 1882 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Introduction to the Theory of Canonical Matrices written by H. W. Turnbull and published by Courier Corporation. This book was released on 2014-03-05 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary transformations and bilinear and quadratic forms; canonical reduction of equivalent matrices; subgroups of the group of equivalent transformations; and rational and classical canonical forms. 1952 edition. 275 problems.
Download or read book The Invariant Theory of Matrices written by Corrado De Concini and published by American Mathematical Soc.. This book was released on 2017-11-16 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a unified, complete, and self-contained exposition of the main algebraic theorems of invariant theory for matrices in a characteristic free approach. More precisely, it contains the description of polynomial functions in several variables on the set of matrices with coefficients in an infinite field or even the ring of integers, invariant under simultaneous conjugation. Following Hermann Weyl's classical approach, the ring of invariants is described by formulating and proving (1) the first fundamental theorem that describes a set of generators in the ring of invariants, and (2) the second fundamental theorem that describes relations between these generators. The authors study both the case of matrices over a field of characteristic 0 and the case of matrices over a field of positive characteristic. While the case of characteristic 0 can be treated following a classical approach, the case of positive characteristic (developed by Donkin and Zubkov) is much harder. A presentation of this case requires the development of a collection of tools. These tools and their application to the study of invariants are exlained in an elementary, self-contained way in the book.
Download or read book Young Tableaux in Combinatorics Invariant Theory and Algebra written by Joseph P.S. Kung and published by Elsevier. This book was released on 2014-05-12 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Young Tableaux in Combinatorics, Invariant Theory, and Algebra: An Anthology of Recent Work is an anthology of papers on Young tableaux and their applications in combinatorics, invariant theory, and algebra. Topics covered include reverse plane partitions and tableau hook numbers; some partitions associated with a partially ordered set; frames and Baxter sequences; and Young diagrams and ideals of Pfaffians. Comprised of 16 chapters, this book begins by describing a probabilistic proof of a formula for the number f? of standard Young tableaux of a given shape f?. The reader is then introduced to the generating function of R. P. Stanley for reverse plane partitions on a tableau shape; an analog of Schensted's algorithm relating permutations and triples consisting of two shifted Young tableaux and a set; and a variational problem for random Young tableaux. Subsequent chapters deal with certain aspects of Schensted's construction and the derivation of the Littlewood-Richardson rule for the multiplication of Schur functions using purely combinatorial methods; monotonicity and unimodality of the pattern inventory; and skew-symmetric invariant theory. This volume will be helpful to students and practitioners of algebra.
Download or read book Historical Encyclopedia of Natural and Mathematical Sciences written by Ari Ben-Menahem and published by Springer Science & Business Media. This book was released on 2009-03-06 with total page 6070 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 5,800-page encyclopedia surveys 100 generations of great thinkers, offering more than 2,000 detailed biographies of scientists, engineers, explorers and inventors who left their mark on the history of science and technology. This six-volume masterwork also includes 380 articles summarizing the time-line of ideas in the leading fields of science, technology, mathematics and philosophy.
Download or read book Problems in Applied Mathematics written by Murray S. Klamkin and published by SIAM. This book was released on 1990-01-01 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: A compilation of 380 of SIAM Review's most interesting problems dating back to the journal's inception in 1959.
Download or read book The Theory of Matrices written by Feliks Ruvimovich Gantmakher and published by American Mathematical Soc.. This book was released on 1959 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This treatise, by one of Russia's leading mathematicians, gives in easily accessible form a coherent account of matrix theory with a view to applications in mathematics, theoretical physics, statistics, electrical engineering, etc. The individual chapters have been kept as far as possible independent of each other, so that the reader acquainted with the contents of Chapter 1 can proceed immediately to the chapters of special interest. Much of the material has been available until now only in the periodical literature.
Download or read book Infinite Families of Exact Sums of Squares Formulas Jacobi Elliptic Functions Continued Fractions and Schur Functions written by Stephen C. Milne and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: The problem of representing an integer as a sum of squares of integers is one of the oldest and most significant in mathematics. It goes back at least 2000 years to Diophantus, and continues more recently with the works of Fermat, Euler, Lagrange, Jacobi, Glaisher, Ramanujan, Hardy, Mordell, Andrews, and others. Jacobi's elliptic function approach dates from his epic Fundamenta Nova of 1829. Here, the author employs his combinatorial/elliptic function methods to derive many infinite families of explicit exact formulas involving either squares or triangular numbers, two of which generalize Jacobi's (1829) 4 and 8 squares identities to 4n2 or 4n(n+1) squares, respectively, without using cusp forms such as those of Glaisher or Ramanujan for 16 and 24 squares. These results depend upon new expansions for powers of various products of classical theta functions. This is the first time that infinite families of non-trivial exact explicit formulas for sums of squares have been found. The author derives his formulas by utilizing combinatorics to combine a variety of methods and observations from the theory of Jacobi elliptic functions, continued fractions, Hankel or Turanian determinants, Lie algebras, Schur functions, and multiple basic hypergeometric series related to the classical groups. His results (in Theorem 5.19) generalize to separate infinite families each of the 21 of Jacobi's explicitly stated degree 2, 4, 6, 8 Lambert series expansions of classical theta functions in sections 40-42 of the Fundamental Nova. The author also uses a special case of his methods to give a derivation proof of the two Kac and Wakimoto (1994) conjectured identities concerning representations of a positive integer by sums of 4n2 or 4n(n+1) triangular numbers, respectively. These conjectures arose in the study of Lie algebras and have also recently been proved by Zagier using modular forms. George Andrews says in a preface of this book, `This impressive work will undoubtedly spur others both in elliptic functions and in modular forms to build on these wonderful discoveries.' Audience: This research monograph on sums of squares is distinguished by its diversity of methods and extensive bibliography. It contains both detailed proofs and numerous explicit examples of the theory. This readable work will appeal to both students and researchers in number theory, combinatorics, special functions, classical analysis, approximation theory, and mathematical physics.
Download or read book Introduction to the Theory of Determinants and Matrices written by Eduard Tankard Browne and published by . This book was released on 195? with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Matrix Algebra written by Lawrence Harvill and published by Xlibris Corporation. This book was released on 2011-07-01 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Matrix Algebra aims to develop an understanding of the Fundamentals of matrix algebra as well as the differential and integral calculus of matrices that are fundamental for the analysis of a wide range of applied problems. When used in conjunction with a matrix computational program, you will be in a position to readily analyze sophisticated and complex applied problems. Completion of the text should also prepare you for moving on to much more theoretical and advanced topics in linear algebra. You will understand not only the mathematical complexities of the subject, but also gain a greater insight into the intricate details of the computational algorithms with this helpful book.
