a participatory approach to modern geometry

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A Participatory Approach To Modern Geometry

Author : Jay Kappraff
ISBN : 9789814556729
Genre : Mathematics
File Size : 88. 21 MB
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This book aims to make the subject of geometry and its applications easy and comfortable to understand by students majoring in mathematics or the liberal arts, architecture and design. It can be used to teach students at different levels of computational ability and there is also sufficient novel material to interest students at a higher cognitive level. While the book goes deeply into the applications of geometry, it contains much introductory material which up to now may not have been known to the student. The constructive approach using compass and straightedge engages students, not just on an intellectual level, but also at a tactile level. This may be the only rigorous book offering geometry that attempts to engage students outside of the mathematics discipline.

Connections

Author : Jay Kappraff
ISBN : 9812811397
Genre : Science
File Size : 70. 8 MB
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The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in OC Mathematics, Chemistry, and Astronomy OCo Professional and ReferenceOCO in 1991. It has been a comprehensive reference in design science, bringing together in a single volume material from the areas of proportion in architecture and design, tilings and patterns, polyhedra, and symmetry. The book presents both theory and practice and has more than 750 illustrations. It is suitable for research in a variety of fields and as an aid to teaching a course in the mathematics of design. It has been influential in stimulating the burgeoning interest in the relationship between mathematics and design. In the second edition there are five new sections, supplementary, as well as a new preface describing the advances in design science since the publication of the first edition. Contents: Proportion in Architecture; Similarity; The Golden Mean; Graphs; Tilings with Polygons; Two-Dimensional Networks and Lattices; Polyhedra: Platonic Solids; Transformation of the Platonic Solids I; Transformation of the Platonic Solids II; Polyhedra: Space Filling; Isometries and Mirrors; Symmetry of the Plane. Readership: Polytechnic students, architects, designers, mathematicians and general readers."

Beyond Measure

Author : Jay Kappraff
ISBN : 9810247028
Genre : Mathematics
File Size : 58. 45 MB
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This book consists of essays that stand on their own but are also loosely connected. Part I documents how numbers and geometry arise in several cultural contexts and in nature: scale, proportion in architecture, ancient geometry, megalithic stone circles, the hidden pavements of the Laurentian library, the shapes of the Hebrew letters, and the shapes of biological forms. Part II shows how many of the same numbers and number sequences are related to the modern mathematical study of numbers, dynamical systems, chaos, and fractals.

Two Reports On Harmonic Maps

Author : James Eells
ISBN : 9810214669
Genre : Mathematics
File Size : 32. 20 MB
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Harmonic maps between Riemannian manifolds are solutions of systems of nonlinear partial differential equations which appear in different contexts of differential geometry. They include holomorphic maps, minimal surfaces, å-models in physics. Recently, they have become powerful tools in the study of global properties of Riemannian and K„hlerian manifolds.A standard reference for this subject is a pair of Reports, published in 1978 and 1988 by James Eells and Luc Lemaire.This book presents these two reports in a single volume with a brief supplement reporting on some recent developments in the theory. It is both an introduction to the subject and a unique source of references, providing an organized exposition of results spread throughout more than 800 papers.

Geometric Properties Of Natural Operators Defined By The Riemann Curvature Tensor

Author : Peter B. Gilkey
ISBN : 9789812799692
Genre : Mathematics
File Size : 52. 19 MB
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A central problem in differential geometry is to relate algebraic properties of the Riemann curvature tensor to the underlying geometry of the manifold. The full curvature tensor is in general quite difficult to deal with. This book presents results about the geometric consequences that follow if various natural operators defined in terms of the Riemann curvature tensor (the Jacobi operator, the skew-symmetric curvature operator, the Szabo operator, and higher order generalizations) are assumed to have constant eigenvalues or constant Jordan normal form in the appropriate domains of definition. The book presents algebraic preliminaries and various Schur type problems; deals with the skew-symmetric curvature operator in the real and complex settings and provides the classification of algebraic curvature tensors whose skew-symmetric curvature has constant rank 2 and constant eigenvalues; discusses the Jacobi operator and a higher order generalization and gives a unified treatment of the Osserman conjecture and related questions; and establishes the results from algebraic topology that are necessary for controlling the eigenvalue structures. An extensive bibliography is provided. Results are described in the Riemannian, Lorentzian, and higher signature settings, and many families of examples are displayed. Contents: Algebraic Curvature Tensors; The Skew-Symmetric Curvature Operator; The Jacobi Operator; Controlling the Eigenvalue Structure. Readership: Researchers and graduate students in geometry and topology.

Handbook Of Community Based Participatory Research

Author : Maria E. Fernández
ISBN : 9780190652234
Genre :
File Size : 47. 95 MB
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Community-based participatory research (CBPR) emerged in response to the longstanding tradition of "top-down" research-studies in which social scientists observe social phenomena and community problems as outsiders, separate from the participants' daily lives. CBPR is more immersive, fostering partnerships between academic and community organizations that increase the value and consequence of the research for all partners. The current perspectives gleaned from this school of research have been wildly well-received, in no small part because they address the complexity of the human experience in their conclusions. HANDBOOK OF COMMUNITY-BASED PARTICIPATORY RESEARCH codifies the methods and theories of this research approach and articulates an expansive vision of health that includes gender equality, safe and adequate housing, and freedom from violence. Topic-based chapters apply the theory and methods of CBPR to real world problems affecting women, ethnic and racial minorities, and immigrant communities such as sexual violence, exposure to environmental toxins, and lack of access to preventive care as well as suggesting future directions for effective, culturally sensitive research. HANDBOOK OF COMMUNITY-BASED PARTICIPATORY RESEARCH is required reading for academics, policy makers, and students seeking meaningful social change through scholarship.

Dissemination And Implementation Research In Health

Author : Ross C. Brownson
ISBN : 9780190683238
Genre : Medical
File Size : 21. 52 MB
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The definitive work in D&I research -- now completely updated and expanded The application of scientific research to the creation of evidence-based policies is a science unto itself -- and one that is never easy. Dissemination and implementation research (D&I) is the study of how scientific advances can be implemented into everyday life, and understanding how it works has never been more important for students and professionals across the scientific, academic, and governmental communities. DISSEMINATION AND IMPLEMENTATION RESEARCH IN HEALTH is a practical guide to making research more consequential, a collection assembled and written by today's leading D&I researchers. Readers of this book are taught to: ? Evaluate the evidence base in an effective intervention ? Choose a strategy that produces the greatest impact ? Design an appropriate and effectual study ? Track essential outcomes ? Account for the barriers to uptake in communities, social service agencies, and health care facilities The challenges to moving research into practice are universal, and they're complicated by the current landscape's reliance on partnerships and multi-center research. In this light, DISSEMINATION AND IMPLEMENTATION RESEARCH IN HEALTH is nothing less than a roadmap to effecting change in the sciences. It will have broad utility to researchers and practitioners in epidemiology, biostatistics, behavioral science, economics, medicine, social work, psychology, and anthropology -- both today and in our slightly better future.

The Dialogical Spirit

Author : Amos Yong
ISBN : 9780227904343
Genre : Religion
File Size : 32. 35 MB
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Contemporary proposals for Christian theology from post-liberalism to Radical Orthodoxy and beyond have espoused their own methodological paradigms. Those who have ventured into this domain of theological method, however, have usually had to stake their claims vis-à-vis trends in what may be called the contemporary "post-al" age, whether of the post-modern, post-Christendom, post-Enlightenment, post-Western, or post-colonial varieties. This volume is unique among offerings in this arena in suggesting a way forward that engages on each of these fronts, and does so from a particularistic Christian perspective without giving up on Christian theology's traditional claims to universality. This is accomplished through the articulation of a distinctive dialogical methodology informed by both Pentecostalism and Evangelicalism, one rooted in the Christian salvation-history narrative of Incarnation and Pentecost that is yet open to the world in its many and various cultural, ethnic, religious, and disciplinary discourses. Amos Yong here engages with twelve different interlocutors representing different ecumenical, religious, and disciplinary perspectives. 'The Dialogical Spirit' thus not only proffers a model for Christian theological method suitable for the twenty-first century global context but also exemplifies this methodological approach through its interactions across the contemporary scholarly, inter-religious, and theological landscape.

Valuing Freedoms

Author : Sabina Alkire
ISBN : 0199283311
Genre : Business & Economics
File Size : 30. 78 MB
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Friendship, knowledge of foreign groups, the ability to purchase milk and shoes, the scent of summer roses: of what interest is this type of information to economists? Sabina Alkire shows how Nobel Prize-winning economist Amartya Sen's capability approach can be coherently - and practically - put to work in poverty reduction activities. Sen argues that economic development should expand 'valuable' freedoms. Alkire probes how we identify what is valuable. Foundational issues are addressed critically - dimensions of development, practical reason, culture, basic needs - drawing on Thomist authors who give central place to authentic participation. A participatory procedure for identifying capability change is then developed. Case studies of three Oxfam activities in Pakistan - goat-rearing, female literacy, and rose cultivation - illustrate this novel approach. Valuing Freedoms will be of considerable interest to economists, philosophers, development practitioners, and theologians, as well as to followers of Sen's work.

New Society

Author :
ISBN : UCSC:32106019609202
Genre : Social sciences
File Size : 56. 25 MB
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