Download or read book Frames for Undergraduates written by Deguang Han and published by American Mathematical Soc.. This book was released on 2007 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The early chapters contain the topics from linear algebra that students need to know in order to read the rest of the book. The later chapters are devoted to advanced topics, which allow students with more experience to study more intricate types of frames. Toward that end, a Student Presentation section gives detailed proofs of fairly technical results with the intention that a student could work out these proofs independently and prepare a presentation to a class or research group. The authors have also presented some stories in the Anecdotes section about how this material has motivated and influenced their students."--BOOK JACKET.
Download or read book Finite Frames written by Peter G. Casazza and published by Springer Science & Business Media. This book was released on 2012-09-14 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hilbert space frames have long served as a valuable tool for signal and image processing due to their resilience to additive noise, quantization, and erasures, as well as their ability to capture valuable signal characteristics. More recently, finite frame theory has grown into an important research topic in its own right, with a myriad of applications to pure and applied mathematics, engineering, computer science, and other areas. The number of research publications, conferences, and workshops on this topic has increased dramatically over the past few years, but no survey paper or monograph has yet appeared on the subject. Edited by two of the leading experts in the field, Finite Frames aims to fill this void in the literature by providing a comprehensive, systematic study of finite frame theory and applications. With carefully selected contributions written by highly experienced researchers, it covers topics including: * Finite Frame Constructions; * Optimal Erasure Resilient Frames; * Quantization of Finite Frames; * Finite Frames and Compressed Sensing; * Group and Gabor Frames; * Fusion Frames. Despite the variety of its chapters' source and content, the book's notation and terminology are unified throughout and provide a definitive picture of the current state of frame theory. With a broad range of applications and a clear, full presentation, this book is a highly valuable resource for graduate students and researchers across disciplines such as applied harmonic analysis, electrical engineering, quantum computing, medicine, and more. It is designed to be used as a supplemental textbook, self-study guide, or reference book.
Download or read book First Steps in Differential Geometry written by Andrew McInerney and published by Springer Science & Business Media. This book was released on 2013-07-09 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors. Today it is possible to describe differential geometry as "the study of structures on the tangent space," and this text develops this point of view. This book, unlike other introductory texts in differential geometry, develops the architecture necessary to introduce symplectic and contact geometry alongside its Riemannian cousin. The main goal of this book is to bring the undergraduate student who already has a solid foundation in the standard mathematics curriculum into contact with the beauty of higher mathematics. In particular, the presentation here emphasizes the consequences of a definition and the careful use of examples and constructions in order to explore those consequences.
Download or read book The Diversity Bargain written by Natasha K. Warikoo and published by University of Chicago Press. This book was released on 2016-11-15 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: We’ve heard plenty from politicians and experts on affirmative action and higher education, about how universities should intervene—if at all—to ensure a diverse but deserving student population. But what about those for whom these issues matter the most? In this book, Natasha K. Warikoo deeply explores how students themselves think about merit and race at a uniquely pivotal moment: after they have just won the most competitive game of their lives and gained admittance to one of the world’s top universities. What Warikoo uncovers—talking with both white students and students of color at Harvard, Brown, and Oxford—is absolutely illuminating; and some of it is positively shocking. As she shows, many elite white students understand the value of diversity abstractly, but they ignore the real problems that racial inequality causes and that diversity programs are meant to solve. They stand in fear of being labeled a racist, but they are quick to call foul should a diversity program appear at all to hamper their own chances for advancement. The most troubling result of this ambivalence is what she calls the “diversity bargain,” in which white students reluctantly agree with affirmative action as long as it benefits them by providing a diverse learning environment—racial diversity, in this way, is a commodity, a selling point on a brochure. And as Warikoo shows, universities play a big part in creating these situations. The way they talk about race on campus and the kinds of diversity programs they offer have a huge impact on student attitudes, shaping them either toward ambivalence or, in better cases, toward more productive and considerate understandings of racial difference. Ultimately, this book demonstrates just how slippery the notions of race, merit, and privilege can be. In doing so, it asks important questions not just about college admissions but what the elite students who have succeeded at it—who will be the world’s future leaders—will do with the social inequalities of the wider world.
Download or read book Category Theory in Context written by Emily Riehl and published by Courier Dover Publications. This book was released on 2017-03-09 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to concepts of category theory — categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions, monads — revisits a broad range of mathematical examples from the categorical perspective. 2016 edition.
Download or read book Plastic Design of Frames 1 Fundamentals written by J. Baker and published by Cambridge University Press. This book was released on 1969-06-02 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: When this volume was first published, plastic theory was the most modern method of structural analysis, and it made possible the direct design of steel frames in a way not available with only elastic methods. It is now recognized that this theory is also fundamental to structural design in materials such as reinforced concrete and aluminium. This is the first volume of a two-volume work by Professors Baker and Heyman that expounds and illustrates the methods of plastic design. Volume 1 gives the elements of the theory and covers the needs of most undergraduates and designers. A special feature of this work is the large number of exercises (140 in all) with answers. Volume 2 deals with advanced topics of theoretical analysis and practical design. The examples and the methods presented herein are extremely valuable to the engineer. The quality of the writing makes Professors Baker and Heyman's book a pleasure to read. Lord Baker (Sir John Fleetwood Baker, 1901-1985) was Professor of Mechanical Sciences and Head of the Department of Engineering at the University of Cambridge from 1943 to 1968. He was a Fellow of the Royal Society. Baker's pioneering research led to the development of the plastic theory of design, originally used for steel frames but now recognized as being valid for many structural materials, such as aluminium and reinforced concrete. Additionally, Baker was responsible for many curriculum innovations at the university and was the author of The Steel Skeleton, a two-volume work. Jacques Heyman is the former Head of the Department of Engineering at the University of Cambridge and the author of ten books, including The Stone Skeleton, Elements of the Theory of Structures, Structural Analysis: A Historical Approach, Elements of Stress Analysis, and the two-volume set Plastic Design of Frames: Volume 1. Fundamentals with Lord Baker and Volume 2. Applications. He is a Fellow of the Society of Antiquaries, the Institution of Civil Engineers, and the Royal Academy of Engineering. He acted as a consulting engineer for a number of English cathedrals and as a member of the Architectural Advisory Panel for Westminster Abbey and of the Cathedrals Fabric Commission for England, and he has served on many British standards committees. The Stone Skeleton won the Choice Outstanding Academic Books Award in 1996.
Download or read book Framing Class written by Diana Kendall and published by Rowman & Littlefield Publishers. This book was released on 2011-04-16 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Framing Class explores how the media, including television, film, and news, depict wealth and poverty in the United States. Fully updated and revised throughout, the second edition of this groundbreaking book now includes discussions of new media, updated media sources, and provocative new examples from movies and television, such as The Real Housewives series and media portrayals of the new poor and corporate executives in the recent recession. The book introduces the concepts of class and media framing to students and analyzes how the media portray various social classes, from the elite to the very poor. Its accessible writing and powerful examples make it an ideal text or supplement for courses in sociology, American studies, and communications.
Download or read book Elementary Number Theory Primes Congruences and Secrets written by William Stein and published by Springer Science & Business Media. This book was released on 2008-10-28 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book about prime numbers, congruences, secret messages, and elliptic curves that you can read cover to cover. It grew out of undergr- uate courses that the author taught at Harvard, UC San Diego, and the University of Washington. The systematic study of number theory was initiated around 300B. C. when Euclid proved that there are in?nitely many prime numbers, and also cleverly deduced the fundamental theorem of arithmetic, which asserts that every positive integer factors uniquely as a product of primes. Over a thousand years later (around 972A. D. ) Arab mathematicians formulated the congruent number problem that asks for a way to decide whether or not a given positive integer n is the area of a right triangle, all three of whose sides are rational numbers. Then another thousand years later (in 1976), Di?e and Hellman introduced the ?rst ever public-key cryptosystem, which enabled two people to communicate secretely over a public communications channel with no predetermined secret; this invention and the ones that followed it revolutionized the world of digital communication. In the 1980s and 1990s, elliptic curves revolutionized number theory, providing striking new insights into the congruent number problem, primality testing, publ- key cryptography, attacks on public-key systems, and playing a central role in Andrew Wiles’ resolution of Fermat’s Last Theorem.
Download or read book An Introduction to Finite Tight Frames written by Shayne F. D. Waldron and published by Springer. This book was released on 2018-02-03 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is an introduction to the theory and applications of finite tight frames, an area that has developed rapidly in the last decade. Stimulating much of this growth are the applications of finite frames to diverse fields such as signal processing, quantum information theory, multivariate orthogonal polynomials, and remote sensing. Featuring exercises and MATLAB examples in each chapter, the book is well suited as a textbook for a graduate course or seminar involving finite frames. The self-contained, user-friendly presentation also makes the work useful as a self-study resource or reference for graduate students, instructors, researchers, and practitioners in pure and applied mathematics, engineering, mathematical physics, and signal processing.
Download or read book A Project Based Guide to Undergraduate Research in Mathematics written by Pamela E. Harris and published by Springer Nature. This book was released on 2020-04-17 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides accessible and self-contained research problems designed for undergraduate student projects, and simultaneously promotes the development of sustainable undergraduate research programs. The chapters in this work span a variety of topical areas of pure and applied mathematics and mathematics education. Each chapter gives a self-contained introduction on a research topic with an emphasis on the specific tools and knowledge needed to create and maintain fruitful research programs for undergraduates. Some of the topics discussed include:• Disease modeling• Tropical curves and surfaces• Numerical semigroups• Mathematics EducationThis volume will primarily appeal to undergraduate students interested in pursuing research projects and faculty members seeking to mentor them. It may also aid students and faculty participating in independent studies and capstone projects.
Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography
Download or read book Orbital Mechanics for Engineering Students written by Howard D Curtis and published by Elsevier. This book was released on 2009-10-26 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: Orbital Mechanics for Engineering Students, Second Edition, provides an introduction to the basic concepts of space mechanics. These include vector kinematics in three dimensions; Newton’s laws of motion and gravitation; relative motion; the vector-based solution of the classical two-body problem; derivation of Kepler’s equations; orbits in three dimensions; preliminary orbit determination; and orbital maneuvers. The book also covers relative motion and the two-impulse rendezvous problem; interplanetary mission design using patched conics; rigid-body dynamics used to characterize the attitude of a space vehicle; satellite attitude dynamics; and the characteristics and design of multi-stage launch vehicles. Each chapter begins with an outline of key concepts and concludes with problems that are based on the material covered. This text is written for undergraduates who are studying orbital mechanics for the first time and have completed courses in physics, dynamics, and mathematics, including differential equations and applied linear algebra. Graduate students, researchers, and experienced practitioners will also find useful review materials in the book. NEW: Reorganized and improved discusions of coordinate systems, new discussion on perturbations and quarternions NEW: Increased coverage of attitude dynamics, including new Matlab algorithms and examples in chapter 10 New examples and homework problems
Download or read book New Trends in Applied Harmonic Analysis written by Akram Aldroubi and published by Birkhäuser. This book was released on 2016-04-21 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a selection of written notes corresponding to courses taught at the CIMPA School: "New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing and Multifractal Analysis". New interactions between harmonic analysis and signal and image processing have seen striking development in the last 10 years, and several technological deadlocks have been solved through the resolution of deep theoretical problems in harmonic analysis. New Trends in Applied Harmonic Analysis focuses on two particularly active areas that are representative of such advances: multifractal analysis, and sparse representation and compressed sensing. The contributions are written by leaders in these areas, and cover both theoretical aspects and applications. This work should prove useful not only to PhD students and postdocs in mathematics and signal and image processing, but also to researchers working in related topics.
Download or read book A Primer for Undergraduate Research written by Aaron Wootton and published by Birkhäuser. This book was released on 2018-02-06 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This highly readable book aims to ease the many challenges of starting undergraduate research. It accomplishes this by presenting a diverse series of self-contained, accessible articles which include specific open problems and prepare the reader to tackle them with ample background material and references. Each article also contains a carefully selected bibliography for further reading. The content spans the breadth of mathematics, including many topics that are not normally addressed by the undergraduate curriculum (such as matroid theory, mathematical biology, and operations research), yet have few enough prerequisites that the interested student can start exploring them under the guidance of a faculty member. Whether trying to start an undergraduate thesis, embarking on a summer REU, or preparing for graduate school, this book is appropriate for a variety of students and the faculty who guide them.
Download or read book Framing Attention written by Lutz Koepnick and published by JHU Press. This book was released on 2007-01-15 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher description
Download or read book The Happy Professor written by Bill Coplin and published by Rowman & Littlefield. This book was released on 2019-06-05 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coplin uses his 50+ years of undergraduate teaching experience to present a series of roles, strategies and tactics to help professors prepare undergraduates for life after college. Through his courses and a highly successful undergraduate program, which he designed in the 1970s and still leads, Policy Studies, he has developed ways to increase student engagement and prepare them for careers and citizenship. He has students and alumni that number in the thousands over two generations who attribute their success to Coplin’s approach to teaching. You can check out his website, where more than 96 unsolicited testimonials from successful alumni who are now doing well and doing good are listed. This book is a self-help manual so that undergraduate professors in all fields can test out his suggestions ideas for themselves. College professors will be much happier because their actions will meet the needs of their students and society.
Download or read book The Amateur Hour written by Jonathan Zimmerman and published by JHU Press. This book was released on 2020-10-27 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first full-length history of college teaching in the United States from the nineteenth century to the present, this book sheds new light on the ongoing tension between the modern scholarly ideal—scientific, objective, and dispassionate—and the inevitably subjective nature of day-to-day instruction. American college teaching is in crisis, or so we are told. But we've heard that complaint for the past 150 years, as critics have denounced the poor quality of instruction in undergraduate classrooms. Students daydream in gigantic lecture halls while a professor drones on, or they meet with a teaching assistant for an hour of aimless discussion. The modern university does not reward teaching, so faculty members at every level neglect it in favor of research and publication. In the first book-length history of American college teaching, Jonathan Zimmerman confirms but also contradicts these perennial complaints. Drawing upon a wide range of previously unexamined sources, The Amateur Hour shows how generations of undergraduates indicted the weak instruction they received. But Zimmerman also chronicles institutional efforts to improve it, especially by making teaching more "personal." As higher education grew into a gigantic industry, he writes, American colleges and universities introduced small-group activities and other reforms designed to counter the anonymity of mass instruction. They also experimented with new technologies like television and computers, which promised to "personalize" teaching by tailoring it to the individual interests and abilities of each student. But, Zimmerman reveals, the emphasis on the personal inhibited the professionalization of college teaching, which remains, ultimately, an amateur enterprise. The more that Americans treated teaching as a highly personal endeavor, dependent on the idiosyncrasies of the instructor, the less they could develop shared standards for it. Nor have they rigorously documented college instruction, a highly public activity which has taken place mostly in private. Pushing open the classroom door, The Amateur Hour illuminates American college teaching and frames a fresh case for restoring intimate learning communities, especially for America's least privileged students. Anyone who wants to change college teaching will have to start here.
