The book is the first to give a comprehensive overview of the techniques and tools currently being used in the study of combinatorial problems in Coxeter groups. It is self-contained, and accessible even to advanced undergraduate students of mathematics.The primary purpose of the book is to highlight approximations to the difficult isomorphism problem in Coxeter groups. A number of theorems relating to this problem are stated and proven. Most of the results addressed here concern conditions which can be seen as varying degrees of uniqueness of representations of Coxeter groups. Throughout the investigation, the readers are introduced to a large number of tools in the theory of Coxeter groups, drawn from dozens of recent articles by prominent researchers in geometric and combinatorial group theory, among other fields. As the central problem of the book may in fact be solved soon, the book aims to go further, providing the readers with many techniques that can be used to answer more general questions. The readers are challenged to practice those techniques by solving exercises, a list of which concludes each chapter./a
Designing interesting problems and writing assignments is one of the chief tasks of all teachers, but it can be especially challenging to translate and apply learning theory, good teaching techniques, and writing assignments into STEM and other quantitative disciplines. Student Writing in the Quantitative Disciplines offers instructors in math-based disciplines meaningful approaches to making their coursework richer and more relevant for their students, as well as satisfying institutional imperatives for writing curricula. This important resource provides instructors with the hands-on skills needed to guide their students in writing well in quantitative courses at all levels of the college curriculum and to promote students' general cognitive and intellectual growth. Comprehensive in scope, the book includes: Ideas for using writing as a means of learning mathematical concepts Illustrative examples of effective writing activities and assignments in a number of different genres Assessment criteria and effective strategies for responding to students' writing Examples of ways to help students engage in peer review, revision, and resubmission of their written work "Those of us who spend our lives urging faculty in all disciplines to integrate more writing into their courses have wished for the day when someone like Patrick Bahls would step forward with a book like this one." Chris M. Anson, University Distinguished Professor and director, Campus Writing and Speaking Program, North Carolina State University "Written by a mathematician, this readable, theoretically sound book describes practical strategies for teachers in the quantitative sciences to assign and respond to students' writing. It also describes numerous approaches to writing that engage students in disciplinary learning, collaborative discovery, and effective communication." Art Young, Campbell Professor of English emeritus, Clemson University "Loaded with practical advice, this timely, important, and engaging book will be an invaluable resource for instructors wishing to bring the benefits of writing-to-learn to the quantitative disciplines. As a mathematician thoroughly grounded in writing-across-the-curriculum scholarship, Bahls brings humor, classroom experience, and pedagogical savvy to a mission he clearly loves improving the quality of student learning in math and science." John C. Bean, professor, Seattle University, and author, Engaging Ideas
The six-volume of Rivers of the United States provides an integrated and comprehensive examination of all the major rivers and estuaries of the contiguous United States. This fifth volume, the first of two parts, is concerned with the Colorado River.
The story of one of the most successful and decorated tank commanders of all time Contains maps, official documents, newspaper clippings, and orders of battle German Panzer ace Michael Wittmann was by far the most famous tank commander on any side in World War II, destroying 138 enemy tanks and 132 anti-tank guns with his Tiger. This classic of armored warfare is both combat biography and unit history, as Patrick Agte focuses on the life and career of Wittmann but also includes his fellow Tiger commanders in the 1st SS Panzer Division Leibstandarte SS Adolf Hitler. Volume One covers the Eastern Front, where Wittmann racked up more than 100 kills and participated in the Battle of Kursk in 1943.
German Panzer ace Michael Wittmann was by far the most famous tank commander on any side in World War II, destroying 138 enemy tanks and 132 anti-tank guns with his Tiger. This classic of armored warfare is both combat biography and unit history, as Patrick Agte focuses on the life and career of Wittmann but also includes his fellow Tiger commanders in the 1st SS Panzer Division Leibstandarte SS Adolf Hitler. Volume 1 covers the Eastern Front, where Wittmann racked up more than 100 kills and participated in the Battle of Kursk in 1943.
A TeXas Style Introduction to Proof is an IBL textbook designed for a one-semester course on proofs (the “bridge course”) that also introduces TeX as a tool students can use to communicate their work. As befitting “textless” text, the book is, as one reviewer characterized it, “minimal.” Written in an easy-going style, the exposition is just enough to support the activities, and it is clear, concise, and effective. The book is well organized and contains ample carefully selected exercises that are varied, interesting, and probing, without being discouragingly difficult.
This work examines the factors that drive the success of Multinational Corporations (MNCs) in their pursuit of regional strategies. The author develops a comprehensive regional success factor model, by which the effects of regional management autonomy and regional product and service adaptation on the regional success of MNCs as well as the interaction effects of regional orientation and inter-regional distance are investigated. The model is evaluated by means of the partial-least-squares (PLS) method on the basis of a survey-based inquiry of the Fortune Global 500 firms with success indicator data for a period of nine years. The findings highlight the importance of considering the different degrees of contextual influence in the design of regional strategies, where low degrees of regional management autonomy and high levels of regional product/service adaptation are found to be appropriate for MNCs to be regionally successful.
Designing interesting problems and writing assignments is one of the chief tasks of all teachers, but it can be especially challenging to translate and apply learning theory, good teaching techniques, and writing assignments into STEM and other quantitative disciplines. Student Writing in the Quantitative Disciplines offers instructors in math-based disciplines meaningful approaches to making their coursework richer and more relevant for their students, as well as satisfying institutional imperatives for writing curricula. This important resource provides instructors with the hands-on skills needed to guide their students in writing well in quantitative courses at all levels of the college curriculum and to promote students' general cognitive and intellectual growth. Comprehensive in scope, the book includes: Ideas for using writing as a means of learning mathematical concepts Illustrative examples of effective writing activities and assignments in a number of different genres Assessment criteria and effective strategies for responding to students' writing Examples of ways to help students engage in peer review, revision, and resubmission of their written work "Those of us who spend our lives urging faculty in all disciplines to integrate more writing into their courses have wished for the day when someone like Patrick Bahls would step forward with a book like this one."—Chris M. Anson, University Distinguished Professor and director, Campus Writing and Speaking Program, North Carolina State University "Written by a mathematician, this readable, theoretically sound book describes practical strategies for teachers in the quantitative sciences to assign and respond to students' writing. It also describes numerous approaches to writing that engage students in disciplinary learning, collaborative discovery, and effective communication."—Art Young, Campbell Professor of English emeritus, Clemson University "Loaded with practical advice, this timely, important, and engaging book will be an invaluable resource for instructors wishing to bring the benefits of writing-to-learn to the quantitative disciplines. As a mathematician thoroughly grounded in writing-across-the-curriculum scholarship, Bahls brings humor, classroom experience, and pedagogical savvy to a mission he clearly loves—improving the quality of student learning in math and science."—John C. Bean, professor, Seattle University, and author, Engaging Ideas
The book is the first to give a comprehensive overview of the techniques and tools currently being used in the study of combinatorial problems in Coxeter groups. It is self-contained, and accessible even to advanced undergraduate students of mathematics.The primary purpose of the book is to highlight approximations to the difficult isomorphism problem in Coxeter groups. A number of theorems relating to this problem are stated and proven. Most of the results addressed here concern conditions which can be seen as varying degrees of uniqueness of representations of Coxeter groups. Throughout the investigation, the readers are introduced to a large number of tools in the theory of Coxeter groups, drawn from dozens of recent articles by prominent researchers in geometric and combinatorial group theory, among other fields. As the central problem of the book may in fact be solved soon, the book aims to go further, providing the readers with many techniques that can be used to answer more general questions. The readers are challenged to practice those techniques by solving exercises, a list of which concludes each chapter./a
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