This textbook is intended for a course in algebraic topology at the beginning graduate level. The main topics covered are the classification of compact 2-manifolds, the fundamental group, covering spaces, singular homology theory, and singular cohomology theory. These topics are developed systematically, avoiding all unnecessary definitions, terminology, and technical machinery. The text consists of material from the first five chapters of the author's earlier book, Algebraic Topology; an Introduction (GTM 56) together with almost all of his book, Singular Homology Theory (GTM 70). The material from the two earlier books has been substantially revised, corrected, and brought up to date.
The importance of the Civil War and Reconstruction in the history of the United States cannot be overstated. There was a very real possibility that the union could have been sundered, resulting in a very different American history, and probably world history. But the union was held together by tough and determined leaders and by the economic muscle of the North. Following the end of the war, the period of American history known as Reconstruction followed. This was a period construed in many different ways. While the states were once again 'united,' many of the postwar efforts divided different segments of the population and failed to achieve their goals in an era too often remembered for carpetbaggers and scalawags, and Congressional imbroglios and incompetent government. This one-volume dictionary, with more than 800 entries covering the significant events, persons, politics, and economic and social themes in the U.S. Civil War and Reconstruction, is a research tool for all levels of readers from high school and up. The extensive chronology, introductory essay, dictionary entries, and comprehensive bibliography introduce and lead the reader through the military and non-military actions of one of the most pivotal events in American history.
The main theorem of this monograph, or rather the "absolute" case of the main theorem, provides what is essentially a homotopy-classification of suitably "nondegenerate" maps of Seifert-fibered 3-manifolds into a sufficiently-large, compact, irreducible, orientable 3-manifold M.
This extensively revised 4th edition comprehensively covers information retrieval from a biomedical and health perspective, providing an understanding of the theory, implementation, and evaluation of information retrieval systems in the biomedical and health domain. It features revised chapters covering the theory, practical applications, evaluation and research directions of biomedical and health information retrieval systems. Emphasis is placed on defining where current applications and research systems are heading in a range of areas, including their use by clinicians, consumers, researchers, and others. Information Retrieval: A Biomedical and Health Perspective provides a practically applicable guide to range of techniques for information retrieval and is ideal for use by both the trainee and experienced biomedical informatician seeking an up-to-date resource on the topic.
**NAMED ONE OF THE BEST ART BOOKS OF THE DECADE BY ARTNEWS** The first and definitive biography of the celebrated collectors Dominique and John de Menil, who became one of the greatest cultural forces of the twentieth century through groundbreaking exhibits of art, artistic scholarship, the creation of innovative galleries and museums, and work with civil rights. Dominique and John de Menil created an oasis of culture in their Philip Johnson-designed house with everyone from Marlene Dietrich and René Magritte to Andy Warhol and Jasper Johns. In Houston, they built the Menil Collection, the Rothko Chapel, the Byzantine Fresco Chapel, the Cy Twombly Gallery, and underwrote the Contemporary Arts Museum. Now, with unprecedented access to family archives, William Middleton has written a sweeping biography of this unique couple. From their ancestors in Normandy and Alsace, to their own early years in France, and their travels in South America before settling in Houston. We see them introduced to the artists in Europe and America whose works they would collect, and we see how, by the 1960s, their collection had grown to include 17,000 paintings, sculptures, drawings, photographs, rare books, and decorative objects. And here is, as well, a vivid behind-the-scenes look at the art world of the twentieth century and the enormous influence the de Menils wielded through what they collected and built and through the causes they believed in.
Your must-have resource on the law of higher education Written by recognized experts in the field, the latest edition of The Law of Higher Education, Vol. 2 offers college administrators, legal counsel, and researchers with the most up-to-date, comprehensive coverage of the legal implications of administrative decision making. In the increasingly litigious environment of higher education, William A. Kaplin and Barbara A. Lee’s clear, cogent, and contextualized legal guide proves more and more indispensable every year. Two new authors, Neal H. Hutchens and Jacob H Rooksby, have joined the Kaplin and Lee team to provide additional coverage of important developments in higher education law. From hate speech to student suicide, from intellectual property developments to issues involving FERPA, this comprehensive resource helps ensure you’re ready for anything that may come your way. Includes new material since publication of the previous edition Covers Title IX developments and intellectual property Explores new protections for gay and transgender students and employees Delves into free speech rights of faculty and students in public universities Expands the discussion of faculty academic freedom, student academic freedom, and institutional academic freedom Part of a 2 volume set If this book isn’t on your shelf, it needs to be.
Discover a unique and modern treatment of topology employing a cross-disciplinary approach Implemented recently to understand diverse topics, such as cell biology, superconductors, and robot motion, topology has been transformed from a theoretical field that highlights mathematical theory to a subject that plays a growing role in nearly all fields of scientific investigation. Moving from the concrete to the abstract, Topology and Its Applications displays both the beauty and utility of topology, first presenting the essentials of topology followed by its emerging role within the new frontiers in research. Filling a gap between the teaching of topology and its modern uses in real-world phenomena, Topology and Its Applications is organized around the mathematical theory of topology, a framework of rigorous theorems, and clear, elegant proofs. This book is the first of its kind to present applications in computer graphics, economics, dynamical systems, condensed matter physics, biology, robotics, chemistry, cosmology, material science, computational topology, and population modeling, as well as other areas of science and engineering. Many of these applications are presented in optional sections, allowing an instructor to customize the presentation. The author presents a diversity of topological areas, including point-set topology, geometric topology, differential topology, and algebraic/combinatorial topology. Topics within these areas include: Open sets Compactness Homotopy Surface classification Index theory on surfaces Manifolds and complexes Topological groups The fundamental group and homology Special "core intuition" segments throughout the book briefly explain the basic intuition essential to understanding several topics. A generous number of figures and examples, many of which come from applications such as liquid crystals, space probe data, and computer graphics, are all available from the publisher's Web site.
The interaction of neurotransmitters, neuromodulators and neuroactive drugs with receptors localized at the cell surface initiates a chain of molecular events leading to integrated neuronal responses to the triggering stimuli. Major advancements in the characterization and isolation of recep tor molecules have answered many quest ions regarding the nature of the ele ments that determine the specificity in these interactions. At the same time, recent studies have provided evidence that delicate regulation by intracellular enzymatic systems determines the efficiency of the stimulus response coupling process, mediates the interaction between receptors, operates in feedback control mechanisms and transduces signals from the receptors to various effector sites in a highly coordinated fashion. These studies are at the focus of the present volume, which is an outcome of a symposium held at the University of Vermont College of Medicine on March 21-23, 1986, in conjunction with the seventeenth annual meeting of the Amer ican Society for Neurochemistry. The symposium has demonstrated clearly that the concerted efforts of investigators in neurophysiology, biochemis try, pharmacology, cell-biology, molecular genetics, neurology, and psy chiatry are required to achieve better understanding of the processes under lying neuronal responsiveness. This volume includes contributions provided by prominent investigators in all these research areas. We hope that the readers will find here a useful source of information and ideas for stimu lating further studies which may serve to narrow the gap between basic neuroscience research and its clinical implications.
The Library of Babel" is arguably Jorge Luis Borges' best known story--memorialized along with Borges on an Argentine postage stamp. Now, in The Unimaginable Mathematics of Borges' Library of Babel, William Goldbloom Bloch takes readers on a fascinating tour of the mathematical ideas hidden within one of the classic works of modern literature. Written in the vein of Douglas R. Hofstadter's Pulitzer Prize-winning Gödel, Escher, Bach, this original and imaginative book sheds light on one of Borges' most complex, richly layered works. Bloch begins each chapter with a mathematical idea--combinatorics, topology, geometry, information theory--followed by examples and illustrations that put flesh on the theoretical bones. In this way, he provides many fascinating insights into Borges' Library. He explains, for instance, a straightforward way to calculate how many books are in the Library--an easily notated but literally unimaginable number--and also shows that, if each book were the size of a grain of sand, the entire universe could only hold a fraction of the books in the Library. Indeed, if each book were the size of a proton, our universe would still not be big enough to hold anywhere near all the books. Given Borges' well-known affection for mathematics, this exploration of the story through the eyes of a humanistic mathematician makes a unique and important contribution to the body of Borgesian criticism. Bloch not only illuminates one of the great short stories of modern literature but also exposes the reader--including those more inclined to the literary world--to many intriguing and entrancing mathematical ideas.
Divergencies in quantum field theory referred to as “infinite zero-point energy” have been a problem for 70 years. Renormalization has always been considered an unsatisfactory remedy.In 1985 it was found that Maxwell's equations generally do not have solutions that satisfy the causality law. An additional term for magnetic dipole currents corrected this shortcoming. Rotating magnetic dipoles produce magnetic dipole currents, just as rotating electric dipoles in a material like barium titanate produce electric dipole currents. Electric dipole currents were always part of Maxwell's equations.This book shows that the correction of Maxwell's equations eliminates the infinite zero-point energy in quantum electrodynamics. In addition, it presents many more new results.
Praise for the First Edition “All medical statisticians involved in clinical trials should read this book...” - Controlled Clinical Trials Featuring a unique combination of the applied aspects of randomization in clinical trials with a nonparametric approach to inference, Randomization in Clinical Trials: Theory and Practice, Second Edition is the go-to guide for biostatisticians and pharmaceutical industry statisticians. Randomization in Clinical Trials: Theory and Practice, Second Edition features: Discussions on current philosophies, controversies, and new developments in the increasingly important role of randomization techniques in clinical trials A new chapter on covariate-adaptive randomization, including minimization techniques and inference New developments in restricted randomization and an increased focus on computation of randomization tests as opposed to the asymptotic theory of randomization tests Plenty of problem sets, theoretical exercises, and short computer simulations using SAS® to facilitate classroom teaching, simplify the mathematics, and ease readers’ understanding Randomization in Clinical Trials: Theory and Practice, Second Edition is an excellent reference for researchers as well as applied statisticians and biostatisticians. The Second Edition is also an ideal textbook for upper-undergraduate and graduate-level courses in biostatistics and applied statistics. William F. Rosenberger, PhD, is University Professor and Chairman of the Department of Statistics at George Mason University. He is a Fellow of the American Statistical Association and the Institute of Mathematical Statistics, and author of over 80 refereed journal articles, as well as The Theory of Response-Adaptive Randomization in Clinical Trials, also published by Wiley. John M. Lachin, ScD, is Research Professor in the Department of Epidemiology and Biostatistics as well as in the Department of Statistics at The George Washington University. A Fellow of the American Statistical Association and the Society for Clinical Trials, Dr. Lachin is actively involved in coordinating center activities for clinical trials of diabetes. He is the author of Biostatistical Methods: The Assessment of Relative Risks, Second Edition, also published by Wiley.
Immanuel Kant's Critique of Pure Reason is widely taken to be the starting point of the modern period of mathematics while David Hilbert was the last great mainstream mathematician to pursue important nineteenth cnetury ideas. This two-volume work provides an overview of this important era of mathematical research through a carefully chosen selection of articles. They provide an insight into the foundations of each of the main branches of mathematics—algebra, geometry, number theory, analysis, logic and set theory—with narratives to show how they are linked. Classic works by Bolzano, Riemann, Hamilton, Dedekind, and Poincare are reproduced in reliable translations and many selections from writers such as Gauss, Cantor, Kronecker and Zermelo are here translated for the first time. The collection is an invaluable source for anyone wishing to gain an understanding of the foundation of modern mathematics.
Advanced Electromagnetism: Foundations, Theory and Applications treats what is conventionally called electromagnetism or Maxwell's theory within the context of gauge theory or Yang-Mills theory. A major theme of this book is that fields are not stand-alone entities but are defined by their boundary conditions. The book has practical relevance to efficient antenna design, the understanding of forces and stresses in high energy pulses, ring laser gyros, high speed computer logic elements, efficient transfer of power, parametric conversion, and many other devices and systems. Conventional electromagnetism is shown to be an underdeveloped, rather than a completely developed, field of endeavor, with major challenges in development still to be met.
This book contains expanded versions of ten lectures delivered at Texas Tech University in the summer of 1983. The operator algebras of the title are nonselfadjoint algebras of operators on Hilbert space.
Immanuel Kant's Critique of Pure Reason is widely taken to be the starting point of the modern period of mathematics while David Hilbert was the last great mainstream mathematician to pursue important nineteenth cnetury ideas. This two-volume work provides an overview of this important era of mathematical research through a carefully chosen selection of articles. They provide an insight into the foundations of each of the main branches of mathematics—algebra, geometry, number theory, analysis, logic and set theory—with narratives to show how they are linked. Classic works by Bolzano, Riemann, Hamilton, Dedekind, and Poincare are reproduced in reliable translations and many selections from writers such as Gauss, Cantor, Kronecker and Zermelo are here translated for the first time. The collection is an invaluable source for anyone wishing to gain an understanding of the foundation of modern mathematics.
Clinical Gynecologic Oncology, by Drs. Di Saia and Creasman, is the leading medical reference book geared toward helping you improve gynecologic cancer outcomes. You’ll see how to take advantage of the latest advances in early detection and improved treatment options for gynecologic cancers, especially uterine and cervical cancers, equipping you with the skills you need to provide effective and compassionate care for your patients. Easily identify and absorb key information with outlines beginning each chapter. Choose the best management plan for each patient using algorithms throughout the book. Stay at the forefront of your field thanks to new chapters on Genetic Counseling and Clinical Management of Inherited Disease; Molecular Genetics; and Minimally Invasive Surgery, plus sweeping updates covering all the latest advances. Find everything you need to face your daily challenges with appendices covering staging, screening, nutritional therapy, toxicity criteria, blood component therapy, and radiation therapy. Locate answers fast with a chapter organization based on cancer type and size.
This book develops some of the extraordinary richness, beauty, and power of geometry in two and three dimensions, and the strong connection of geometry with topology. Hyperbolic geometry is the star. A strong effort has been made to convey not just denatured formal reasoning (definitions, theorems, and proofs), but a living feeling for the subject. There are many figures, examples, and exercises of varying difficulty. This book was the origin of a grand scheme developed by Thurston that is now coming to fruition. In the 1920s and 1930s the mathematics of two-dimensional spaces was formalized. It was Thurston's goal to do the same for three-dimensional spaces. To do this, he had to establish the strong connection of geometry to topology--the study of qualitative questions about geometrical structures. The author created a new set of concepts, and the expression "Thurston-type geometry" has become a commonplace. Three-Dimensional Geometry and Topology had its origins in the form of notes for a graduate course the author taught at Princeton University between 1978 and 1980. Thurston shared his notes, duplicating and sending them to whoever requested them. Eventually, the mailing list grew to more than one thousand names. The book is the culmination of two decades of research and has become the most important and influential text in the field. Its content also provided the methods needed to solve one of mathematics' oldest unsolved problems--the Poincaré Conjecture. In 2005 Thurston won the first AMS Book Prize, for Three-dimensional Geometry and Topology. The prize recognizes an outstanding research book that makes a seminal contribution to the research literature. Thurston received the Fields Medal, the mathematical equivalent of the Nobel Prize, in 1982 for the depth and originality of his contributions to mathematics. In 1979 he was awarded the Alan T. Waterman Award, which recognizes an outstanding young researcher in any field of science or engineering supported by the National Science Foundation.
This manuscript is a detailed presentation of the ten lectures given by the author at the NSF Regional Conference on Three-Manifold Topology, held October 1977, at Virginia Polytechnic Institute and State University. The purpose of the conference was to present the current state of affairs in three-manifold topology and to integrate the classical results with the many recent advances and new directions.
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