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A digital copy of "K-schur Func. And Affine Schubert Calculus" by Lam. Download is immediately available upon purchase!

A digital copy of "Schur Complement And Its Applications" by Unknown. Download is immediately available upon purchase!

A digital copy of "Recent Advances In Inverse Scattering, Schur Analysis And Stochastic Pr" by Alpay. Download is immediately available upon purchase!

A digital copy of "Slice Hyperholomorphic Schur Analysis" by Alpay. Download is immediately available upon purchase!

A digital copy of "Schur-convex Functions And Inequalities" by Shi. Download is immediately available upon purchase!

A digital copy of "Introduction To Quasisymmetric Schur Functions" by Luoto. Download is immediately available upon purchase!

A digital copy of "Interpolation, Schur Functions And Moment Problems" by Unknown. Download is immediately available upon purchase!

A digital copy of "Complex Function Theory, Operator Theory, Schur Analysis And Systems Th" by Unknown. Download is immediately available upon purchase!

A digital copy of "Studies In Memory Of Issai Schur" by Unknown. Download is immediately available upon purchase!

A digital copy of "Matrix Spaces And Schur Multipliers: Matriceal Harmonic Analysis" by Persson. Download is immediately available upon purchase!

A digital copy of "Indefinite Inner Product Spaces, Schur Analysis, And Differential Equat" by Alpay. Download is immediately available upon purchase!

A digital copy of "Eyewitness to the Past" by Joan Schur. Download is immediately available upon purchase!

Aus dem Vorwort: "Die Ergebnisse, Methoden und Begriffe, die die mathematische Wissenschaft dem Forscher ISSAI SCHUR verdankt, haben ihre nachhaltige Wirkung bis in die Gegenwart hinein erwiesen und werden sie unverändert beibehalten. Immer wieder wird auf Unter­suchungen von SCHUR zurückgegriffen, werden Erkenntnisse von ihm benutzt oder fortgeführt und werden Vermutungen von ihm bestätigt... Die Besonderheit des mathematischen Schaffens von SCHUR hat einst MAX PLANCK, als Sekretär der physikalisch-mathematischen Klasse der Preußischen Akademie der Wissenschaften zu Berlin, gut gekennzeichnet. In seiner Erwiderung auf die Antrittsrede von SCHUR bei dessen Aufnahme als ordentliches Mitglied der Akademie am 29. Juni 1922 bezeugte er, daß SCHUR "wie nur wenige Mathematiker die große Abelsche Kunst übe, die Probleme richtig zu formulieren, passend umzuformen, geschickt zu teilen und dann einzeln zu bewältigen"."Band I enthält 19 von Issai Schur im Zeitraum von 1912 bis 1924 verfasste Artikel, darunter seine Dissertation.

The aim of this book is to concisely present fundamental ideas, results, and techniques in linear algebra and mainly matrix theory. The book contains ten chapters covering various topics ranging from similarity and special types of matrices to Schur complements and matrix normality. This book can be used as a textbook or a supplement for a linear algebra and matrix theory class or a seminar for senior undergraduate or graduate students.  The book can also serve as a reference for instructors and researchers in the fields of algebra, matrix analysis, operator theory, statistics, computer science, engineering, operations research, economics, and other fields.Major changes in this revised and expanded second edition: -Expansion of topics such as matrix functions, nonnegative matrices, and (unitarily invariant) matrix norms -A new chapter, Chapter 4, with updated material on numerical ranges and radii, matrix norms, and special operations such as the Kronecker and Hadamard products and compound matrices-A new chapter, Chapter 10, on matrix inequalities, which presents a variety of inequalities on the eigenvalues and singular values of matrices and unitarily invariant norms.

In this detailed and fascinating study of Napoleon's ten-week incursion into Palestine and Syria, Schur (historian and author) brings to life the key events between February and May 1799. Using numerous eyewitness accounts he outlines the impact of the invading French armies on the region.

This book provides a unified treatment of matrix differential calculus, specifically written for econometricians and statisticians. Divided into six parts, the book begins with a treatment of matrix algebra, discussing the Schur, Jordan, and singular-value decompositions, the Hadamard and Kronecker products, and more. The second section is the theoretical core of the book and presents a thorough development of the theory of differentials. Practically-oriented, part three contains the rules for working with differentials and lists the differentials of important scalar, vector, and matrix functions. The fourth deals with inequalities, such as Cauchy-Schwarz's and Minkowski's, while the fifth section is devoted to applications of matrix differential calculus to the linear regression model. The book closes by detailing maximum likelihood estimation, an ideal source for demonstrating the power of the propagated techniques. Features numerous exercises.

This book is a reader-friendly introduction to the theory of symmetric functions, and it includes fundamental topics such as the monomial, elementary, homogeneous, and Schur function bases; the skew Schur functions; the Jacobi Trudi identities; the involution ; the Hall inner product; Cauchy's formula; the RSK correspondence and how to implement it with both insertion and growth diagrams; the Pieri rules; the Murnaghan Nakayama rule; Knuth equivalence; jeu de taquin; and the Littlewood Richardson rule. The book also includes glimpses of recent developments and active areas of research, including Grothendieck polynomials, dual stable Grothendieck polynomials, Stanley's chromatic symmetric function, and Stanley's chromatic tree conjecture. Written in a conversational style, the book contains many motivating and illustrative examples. Whenever possible it takes a combinatorial approach, using bijections, involutions, and combinatorial ideas to prove algebraic results. The prerequisites for this book are minimal familiarity with linear algebra, partitions, and generating functions is all one needs to get started. This makes the book accessible to a wide array of undergraduates interested in combinatorics.

This book is a reader-friendly introduction to the theory of symmetric functions, and it includes fundamental topics such as the monomial, elementary, homogeneous, and Schur function bases; the skew Schur functions; the Jacobi Trudi identities; the involution ; the Hall inner product; Cauchy's formula; the RSK correspondence and how to implement it with both insertion and growth diagrams; the Pieri rules; the Murnaghan Nakayama rule; Knuth equivalence; jeu de taquin; and the Littlewood Richardson rule. The book also includes glimpses of recent developments and active areas of research, including Grothendieck polynomials, dual stable Grothendieck polynomials, Stanley's chromatic symmetric function, and Stanley's chromatic tree conjecture. Written in a conversational style, the book contains many motivating and illustrative examples. Whenever possible it takes a combinatorial approach, using bijections, involutions, and combinatorial ideas to prove algebraic results. The prerequisites for this book are minimal familiarity with linear algebra, partitions, and generating functions is all one needs to get started. This makes the book accessible to a wide array of undergraduates interested in combinatorics.

The aim of this book is to concisely present fundamental ideas, results, and techniques in linear algebra and mainly matrix theory. The book contains ten chapters covering various topics ranging from similarity and special types of matrices to Schur complements and matrix normality. This book can be used as a textbook or a supplement for a linear algebra and matrix theory class or a seminar for senior undergraduate or graduate students.  The book can also serve as a reference for instructors and researchers in the fields of algebra, matrix analysis, operator theory, statistics, computer science, engineering, operations research, economics, and other fields.Major changes in this revised and expanded second edition: -Expansion of topics such as matrix functions, nonnegative matrices, and (unitarily invariant) matrix norms -A new chapter, Chapter 4, with updated material on numerical ranges and radii, matrix norms, and special operations such as the Kronecker and Hadamard products and compound matrices-A new chapter, Chapter 10, on matrix inequalities, which presents a variety of inequalities on the eigenvalues and singular values of matrices and unitarily invariant norms.

In this detailed and fascinating study of Napoleon's ten-week incursion into Palestine and Syria, Schur (historian and author) brings to life the key events between February and May 1799. Using numerous eyewitness accounts he outlines the impact of the invading French armies on the region.