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"Tamari lattices originated from weakenings or reinterpretations of the familar associativity law. This has been the subject of Dov Tamari's thesis at the Sorbonne in Paris in 1951 and the central theme of his subsequent mathematical work. Tamari lattices can be realized in terms of polytopes called associahedra, which in fact also appeared first in Tamari's thesis. This book provides an introduction to topical research related to Tamari's work and ideas. Most of the articles collected in it are written in a way accessible to a wide audience of students and researchers in mathematics and mathematical physics and are accompanied by high quality illustrations."

"This book is dedicated to the memory of Israel Gohberg (1928–2009) – one of the great mathematicians of our time. The volume reflects the wide spectrum of Gohberg’s mathematical interests. It consists of more than 25 invited and peer-reviewed original research papers written by his former students, co-authors and friends. Included are contributions to single and multivariable operator theory, commutative and non-commutative Banach algebra theory, the theory of matrix polynomials and analytic vector-valued functions, several variable complex function theory, and the theory of structured matrices and operators. Also treated are canonical differential systems, interpolation, completion and extension problems, numerical linear algebra and mathematical systems theory."

"The text that comprises this volume is a collection of surveys and original works from experts in the fields of algebraic number theory, analytic number theory, harmonic analysis, and hyperbolic geometry. A portion of the collected contributions have been developed from lectures given at the "International Conference on the Occasion of the 60th Birthday of S. J. Patterson", held at the University Göttingen, July 27-29 2009. Many of the included chapters have been contributed by invited participants."

"This volume is dedicated to Bill Helton on the occasion of his sixty fifth birthday. It contains biographical material, a list of Bill's publications, a detailed survey of Bill's contributions to operator theory, optimization and control and 19 technical articles. Most of the technical articles are expository and should serve as useful introductions to many of the areas which Bill's highly original contributions have helped to shape over the last forty odd years. These include interpolation, Szegö limit theorems, Nehari problems, trace formulas, systems and control theory, convexity, matrix completion problems, linear matrix inequalities and optimization."

"The purpose of this book is to present an up to date account of fuzzy ideals of a semiring. The book concentrates on theoretical aspects and consists of eleven chapters including three invited chapters. Among the invited chapters, two are devoted to applications of Semirings to automata theory, and one deals with some generalizations of semirings. "

"Manufaktur aditif, melalui perkembangan dan penyebarannya, telah memungkinkan kebebasan yang lebih besar dalam hal desain komponen dan kemudahan untuk menguji desain tersebut. Elemen umum yang digunakan dalam desain untuk manufaktur aditif adalah mengubah geometri padat menjadi bentuk berongga dengan struktur lattice internal untuk mempertahankan kekakuan dan kekuatan bentuk awal. Studi ini bertujuan untuk mengembangkan sebuah metode optimalisasi struktur lattice pada komponen yang dikenai beban, dengan tujuan meminimalisasi volume material yang digunakan serta stres yang dialami oleh komponen tersebut. FEA digunakan untuk menentukan kepadatan dari lattice pada area tertentu, menambahkan material ke area yang mengalami stres tinggi dan menguranginya pada area yang mengalami stres rendah. Kerangka ini diuji pada batang yang mengalami beban lentur. Perbandingan kemudian dilakukan dengan struktur lattice berbentuk seragam.

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Additive manufacturing has, through its development and proliferation, allowed for greater degrees of freedom when it comes to the design of components and ease at which to test said designs. A common element used in designing for additive manufacturing is turning a solid geometry into one that is hollow with an internal lattice structure to maintain stiffness and strength. This study aims to develop a method of optimizing the lattice structure of a component under load, aiming to minimize both volume of material used as well as stress experienced by the component. FEA is used to determine the relative density of the lattice at a given area, adding material to areas of high stress and removing it in areas of low stress. This framework is tested on a beam that is experiencing a bending load. A comparison is then made to a lattice structure of uniform shape."