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Combinatorial Mathematics, Optimal Designs, and Their Applications
Combinatorial Mathematics, Optimal Designs, and Their Applications
Proofs in Competition Math: Volume 2
All too often, through common school mathematics, students find themselves excelling in school math classes by memorizing formulas, but not their applications or the motivation behind them. As a consequence, understanding derived in this manner is tragically based on little or no proof. This is why studying proofs is paramount! Proofs help us understand the nature of mathematics and show us the key to appreciating its elegance. But even getting past the concern of "why should this be true?" students often face the question of "when will I ever need this in life?" Proofs in Competition Math aims to remedy these issues at a wide range of levels, from the fundamentals of competition math all the way to the Olympiad level and beyond. Don't worry if you don't know all of the math in this book; there will be prerequisites for each skill level, giving you a better idea of your current strengths and weaknesses and allowing you to set realistic goals as a math student. So, mathematical minds, we set you off!
Discrete and Computational Geometry
An impressive collection of original research papers in discrete and computational geometry, contributed by many leading researchers in these fields, as a tribute to Jacob E. Goodman and Richard Pollack, two of the ‘founding fathers’ of the area, on the occasion of their 2/3 x 100 birthdays. The topics covered by the 41 papers provide professionals and graduate students with a comprehensive presentation of the state of the art in most aspects of discrete and computational geometry, including geometric algorithms, study of arrangements, geometric graph theory, quantitative and algorithmic real algebraic geometry, with important connections to algebraic geometry, convexity, polyhedral combinatorics, the theory of packing, covering, and tiling. The book serves as an invaluable source of reference in this discipline.
Characters of Solvable Groups
This book, which can be considered as a sequel of the author's famous book Character Theory of Finite Groups, concerns the character theory of finite solvable groups and other groups that have an abundance of normal subgroups. It is subdivided into three parts: -theory, character correspondences, and M-groups. The -theory section contains an exposition of D. Gajendragadkar's -special characters, and it includes various extensions, generalizations, and applications of his work. The character correspondences section proves the McKay character counting conjecture and the Alperin weight conjecture for solvable groups, and it constructs a canonical McKay bijection for odd-order groups. In additio...
Near Rings, Fuzzy Ideals, and Graph Theory
Near Rings, Fuzzy Ideals, and Graph Theory explores the relationship between near rings and fuzzy sets and between near rings and graph theory. It covers topics from recent literature along with several characterizations.After introducing all of the necessary fundamentals of algebraic systems, the book presents the essentials of near rings theory,
Exactly Solved Models
This unique volume provides a comprehensive overview of exactly solved models in statistical mechanics by looking at the scientific achievements of F Y Wu in this and related fields, which span four decades of his career. The book is organized into topics ranging from lattice models in condensed matter physics to graph theory in mathematics, and includes the author's pioneering contributions. Through insightful commentaries, the author presents an overview of each of the topics and an insider's look at how crucial developments emerged. With the inclusion of important pedagogical review articles by the author, Exactly Solved Models is an indispensable learning tool for graduate students, and an essential reference and source book for researchers in physics and mathematics as well as historians of science.
Floristic Biodiversity of Barda Hills and its Surroundings
The book Floristic diversity of Barda Hills and its surroundings is first of its kind emphasizing the contribution of J.I. Thaker (1910) to the field of plant taxonomy and ethnobotany of Gujarat. His major contribution was on Vanaspati Sastra - Barda dungar ni-Jadibuti taeni Pariksha anae Upayog in Gujarati (1910). After his premiere work, no comprehensive study were undertaken to identify the multifarious changes that have come about in the area. In view of this, an attempt was made to understand the floristic diversity with different facets of taxonomic and ecological understanding in the Barda Hills and its surroundings. The basis of the whole study was based on the hypothesis that - the ...
Management Theories and Strategic Practices for Decision Making
There is an immense amount of information to be considered when attempting to solve complex strategic problems. To recognize the complexity of this process, the creation of tools and techniques are essential to aid decision makers in developing a rational model for strategy evaluation. Management Theories and Strategic Practices for Decision Making brings together a collection of research aiming to provide communication for the management of new methodologies to solve strategic problems and applying decision making approaches. This reference is useful for government agencies, practicing managers, academic and research institutions interested in bringing together strategic decision-making and decision sciences.
