Search results for ""Springer-Verlag New York Inc.""

Sheaves arose in geometry as coefficients for cohomology and as descriptions of the functions appropriate to various kinds of manifolds. Sheaves also appear in logic as carriers for models of set theory. This text presents topos theory as it has developed from the study of sheaves. Beginning with several examples, it explains the underlying ideas of topology and sheaf theory as well as the general theory of elementary toposes and geometric morphisms and their relation to logic.

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Intended for use in college courses for prospective or in-service secondary school teachers of geometry. Designed to give teachers broad preparation in the content of elementary geometry as well as closely related topics of a slightly more advanced nature. The presentation and the modular format are designed to incorporate a flexible methodology for the teaching of geometry, one that can be adapted to different classroom settings. The basic strategy is to develop the few fundamental concepts of elementary geometry, first in intuitive form, and then more rigorously. The rest of the material is then built up out of these concepts through a combination of exposition and "guided discovery" in the problem sections. A separate volume including the solutions to the exercises is also available.

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The primary goal of these lectures is to introduce a beginner to the finite­ dimensional representations of Lie groups and Lie algebras. Since this goal is shared by quite a few other books, we should explain in this Preface how our approach differs, although the potential reader can probably see this better by a quick browse through the book. Representation theory is simple to define: it is the study of the ways in which a given group may act on vector spaces. It is almost certainly unique, however, among such clearly delineated subjects, in the breadth of its interest to mathematicians. This is not surprising: group actions are ubiquitous in 20th century mathematics, and where the object on which a group acts is not a vector space, we have learned to replace it by one that is {e. g. , a cohomology group, tangent space, etc. }. As a consequence, many mathematicians other than specialists in the field {or even those who think they might want to be} come in contact with the subject in various ways. It is for such people that this text is designed. To put it another way, we intend this as a book for beginners to learn from and not as a reference. This idea essentially determines the choice of material covered here. As simple as is the definition of representation theory given above, it fragments considerably when we try to get more specific.

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This is a short text in linear algebra, intended for a one-term course. In the first chapter, Lang discusses the relation between the geometry and the algebra underlying the subject, and gives concrete examples of the notions which appear later in the book. He then starts with a discussion of linear equations, matrices and Gaussian elimination, and proceeds to discuss vector spaces, linear maps, scalar products, determinants, and eigenvalues. The book contains a large number of exercises, some of the routine computational type, while others are conceptual.

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This new, revised edition covers all of the basic topics in calculus of several variables, including vectors, curves, functions of several variables, gradient, tangent plane, maxima and minima, potential functions, curve integrals, Green’s theorem, multiple integrals, surface integrals, Stokes’ theorem, and the inverse mapping theorem and its consequences. It includes many completely worked-out problems.

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This book discusses advanced statistical methods that can be used to analyse ecological data. Most environmental collected data are measured repeatedly over time, or space and this requires the use of GLMM or GAMM methods. The book starts by revising regression, additive modelling, GAM and GLM, and then discusses dealing with spatial or temporal dependencies and nested data.

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This unique text provides a geometric approach to group theory and linear algebra, bringing to light the interesting ways in which these subjects interact. Requiring few prerequisites beyond understanding the notion of a proof, the text aims to give students a strong foundation in both geometry and algebra. Starting with preliminaries (relations, elementary combinatorics, and induction), the book then proceeds to the core topics: the elements of the theory of groups and fields (Lagrange's Theorem, cosets, the complex numbers and the prime fields), matrix theory and matrix groups, determinants, vector spaces, linear mappings, eigentheory and diagonalization, Jordan decomposition and normal form, normal matrices, and quadratic forms. The final two chapters consist of a more intensive look at group theory, emphasizing orbit stabilizer methods, and an introduction to linear algebraic groups, which enriches the notion of a matrix group. Applications involving symmetry groups, determinants, linear coding theory and cryptography are interwoven throughout. Each section ends with ample practice problems assisting the reader to better understand the material. Some of the applications are illustrated in the chapter appendices. The author's unique melding of topics evolved from a two semester course that he taught at the University of British Columbia consisting of an undergraduate honors course on abstract linear algebra and a similar course on the theory of groups. The combined content from both makes this rare text ideal for a year-long course, covering more material than most linear algebra texts. It is also optimal for independent study and as a supplementary text for various professional applications. Advanced undergraduate or graduate students in mathematics, physics, computer science and engineering will find this book both useful and enjoyable.

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In a unified and carefully developed presentation, this book systematically examines recent developments in VRP. The book focuses on a portfolio of significant technical advances that have evolved over the past few years for modeling and solving vehicle routing problems and VRP variations. Reflecting the most recent scholarship, this book is written by one of the top research scholars in Vehicle Routing and is one of the most important books in VRP to be published in recent times.

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Here’s a conundrum: the U.S. health care system is the largest sector in the biggest economy in the world, and the US spends significantly more per capita on health care than any other country. Yet it ranks last among comparison nations on the major health indicators. Robert Kaplan attempts to tackle these anomalies head-on by taking the controversial position that mass markets have been created for services that may offer little or no benefit to patients. Kaplan forcefully argues that the overuse of medications and tests runs up the costs of health care, and offers potential solutions for policy makers and for patients.

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This reader-friendly second edition of Sheridan and Kratochwill’s important work offers innovative applications of CBC as an ecological, evidence-based approach. In this new edition, the authors combine best practices in consultation and problem-solving for interventions that promote and support children’s potential, teachers’ educational mission, and family members’ unique strengths. A step-by-step framework for developing and maintaining family/school partnerships takes readers from initial interviews through plan evaluation. Practical strategies illustrate working with diverse families and school personnel, improving family competence, promoting joint responsibility, and achieving other collaborative goals.

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This pocket guide provides concise discussion on the effective use of PET and PET/CT in patient management for a wide range of clinical conditions. Introductory chapters cover the fundamentals: basic science, patient preparation, and logistical considerations. The body of the guide examines the role of PET in the management of malignancies such as lymphoma, melanoma, and colorectal cancer. Additional chapters discuss use of PET for pancreatic, ovarian, and cervical cancers, sarcoma, and seminoma, and outlines cardiologic and neurologic applications. The final chapter considers the appropriateness, timing, and limitations of PET in common clinical case scenarios. Select images supplement the text.

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The Handbook is intended to be a service to the neuroscience community, to help in finding available and useful information, to point out gaps in our knowledge, and to encourage continued studies. It represents the valuable contributions of the many authors of the chapters and the guidance of the editors and most important, it represents support for research in this discipline. Based on the rapid advances in the years since the second edition

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The Analyze, Design, Develop, Implement, and Evaluate (ADDIE) process is used to introduce an approach to instruction design that has a proven record of success. Instructional Design: The ADDIE Approach is intended to serve as an overview of the ADDIE concept. The primary rationale for this book is to respond to the need for an instruction design primer that addresses the current proliferation of complex educational development models, particularly non-traditional approaches to learning, multimedia development and online learning environments. Many entry level instructional designers and students enrolled in related academic programs indicate they are better prepared to accomplish the challenging work of creating effective training and education materials after they have a thorough understanding of the ADDIE principles. However, a survey of instructional development applications indicate that the overwhelming majority of instructional design models are based on ADDIE, often do not present the ADDIE origins as part of their content, and are poorly applied by people unfamiliar with the ADDIE paradigm. The purpose of this book is to focus on fundamental ADDIE principles, written with a minimum of professional jargon. This is not an attempt to debate scholars or other educational professionals on the finer points of instructional design, however, the book's content is based on sound doctrine and supported by valid empirical research. The only bias toward the topic is that generic terms will be used as often as possible in order to make it easy for the reader to apply the concepts in the book to other specific situations.

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