Random Matrices And Random Partitions: Normal Convergence, Su Zhonggen
Автор: Kowalenko, Victor Название: The Partition Method for a Power Series Expansion ISBN: 0128044667 ISBN-13(EAN): 9780128044667 Издательство: Elsevier Science Рейтинг: Цена: 11706.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
The Partition Method for a Power Series Expansion: Theory and Applications explores how the method known as 'the partition method for a power series expansion', which was developed by the author, can be applied to a host of previously intractable problems in mathematics and physics.
In particular, this book describes how the method can be used to determine the Bernoulli, cosecant, and reciprocal logarithm numbers, which appear as the coefficients of the resulting power series expansions, then also extending the method to more complicated situations where the coefficients become polynomials or mathematical functions. From these examples, a general theory for the method is presented, which enables a programming methodology to be established.
Finally, the programming techniques of previous chapters are used to derive power series expansions for complex generating functions arising in the theory of partitions and in lattice models of statistical mechanics.
Автор: Friedland Shmuel Название: Matrices: Algebra, Analysis and Applications ISBN: 981466796X ISBN-13(EAN): 9789814667968 Издательство: World Scientific Publishing Рейтинг: Цена: 30096.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume deals with advanced topics in matrix theory using the notions and tools from algebra, analysis, geometry and numerical analysis. It consists of seven chapters that are loosely connected and interdependent. The choice of the topics is very personal and reflects the subjects that the author was actively working on in the last 40 years. Many results appear for the first time in the volume. Readers will encounter various properties of matrices with entries in integral domains, canonical forms for similarity, and notions of analytic, pointwise and rational similarity of matrices with entries which are locally analytic functions in one variable. This volume is also devoted to various properties of operators in inner product space, with tensor products and other concepts in multilinear algebra, and the theory of non-negative matrices. It will be of great use to graduate students and researchers working in pure and applied mathematics, bioinformatics, computer science, engineering, operations research, physics and statistics.
Автор: Duff I. S Название: Direct Methods for Sparse Matrices ISBN: 0198508387 ISBN-13(EAN): 9780198508380 Издательство: Oxford Academ Рейтинг: Цена: 13622.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The subject of sparse matrices has its root in such diverse fields as management science, power systems analysis, surveying, circuit theory, and structural analysis. Efficient use of sparsity is a key to solving large problems in many fields. This book provides both insight and answers for those attempting to solve these problems.
Автор: Bhatia Rajendra Название: Positive Definite Matrices ISBN: 0691168253 ISBN-13(EAN): 9780691168258 Издательство: Wiley Рейтинг: Цена: 5069.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book represents the first synthesis of the considerable body of new research into positive definite matrices. These matrices play the same role in noncommutative analysis as positive real numbers do in classical analysis. They have theoretical and computational uses across a broad spectrum of disciplines, including calculus, electrical enginee
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