Matrices and Transformations

Author: Anthony J. Pettofrezzo
Publisher: Courier Corporation
ISBN: 9780486636344
Category : Mathematics
Languages : en
Pages : 146

Book Description
This book presents an elementary and concrete approach to linear algebra that is both useful and essential for the beginning student and teacher of mathematics. Here are the fundamental concepts of matrix algebra, first in an intuitive framework and then in a more formal manner. A Variety of interpretations and applications of the elements and operations considered are included. In particular, the use of matrices in the study of transformations of the plane is stressed. The purpose of this book is to familiarize the reader with the role of matrices in abstract algebraic systems, and to illustrate its effective use as a mathematical tool in geometry. The first two chapters cover the basic concepts of matrix algebra that are important in the study of physics, statistics, economics, engineering, and mathematics. Matrices are considered as elements of an algebra. The concept of a linear transformation of the plane and the use of matrices in discussing such transformations are illustrated in Chapter #. Some aspects of the algebra of transformations and its relation to the algebra of matrices are included here. The last chapter on eigenvalues and eigenvectors contains material usually not found in an introductory treatment of matrix algebra, including an application of the properties of eigenvalues and eigenvectors to the study of the conics. Considerable attention has been paid throughout to the formulation of precise definitions and statements of theorems. The proofs of most of the theorems are included in detail in this book. Matrices and Transformations assumes only that the reader has some understanding of the basic fundamentals of vector algebra. Pettofrezzo gives numerous illustrative examples, practical applications, and intuitive analogies. There are many instructive exercises with answers to the odd-numbered questions at the back. The exercises range from routine computations to proofs of theorems that extend the theory of the subject. Originally written for a series concerned with the mathematical training of teachers, and tested with hundreds of college students, this book can be used as a class or supplementary text for enrichments programs at the high school level, a one-semester college course, individual study, or for in-service programs.

Transformations

Author: Wilfred R. Bion
Publisher: Routledge
ISBN: 0429923236
Category : Psychology
Languages : en
Pages : 221

Book Description
Transformations continues the investigation of various aspects of psychoanalytic theory and practice which the author commenced with Learning from Experience (1962) and pursued in Elements of Psychoanalysis (1963). In this third work published in 1965, the author examines the ways in which the analyst's description of the original analytic experience, mediated by theory, necessarily transforms it in the course of effecting an interpretation.

The Politics of Green Transformations

Author: Ian Scoones
Publisher: Routledge
ISBN: 1317601114
Category : Business & Economics
Languages : en
Pages : 245

Book Description
Multiple ‘green transformations’ are required if humanity is to live sustainably on planet Earth. Recalling past transformations, this book examines what makes the current challenge different, and especially urgent. It examines how green transformations must take place in the context of the particular moments of capitalist development, and in relation to particular alliances. The role of the state is emphasised, both in terms of the type of incentives required to make green transformations politically feasible and the way states must take a developmental role in financing innovation and technology for green transformations. The book also highlights the role of citizens, as innovators, entrepreneurs, green consumers and members of social movements. Green transformations must be both ‘top-down’, involving elite alliances between states and business, but also ‘bottom up’, pushed by grassroots innovators and entrepreneurs, and part of wider mobilisations among civil society. The chapters in the book draw on international examples to emphasise how contexts matter in shaping pathways to sustainability Written by experts in the field, this book will be of great interest to researchers and students in environmental studies, international relations, political science, development studies, geography and anthropology, as well as policymakers and practitioners concerned with sustainability.

Handbook of Function and Generalized Function Transformations

Author: Ahmed I. Zayed
Publisher: CRC Press
ISBN: 9780849378515
Category : Mathematics
Languages : en
Pages : 684

Book Description
Function transformations, which include linear integral transformations, are some of the most important mathematical tools for solving problems in all areas of engineering and the physical sciences. They allow one to quickly solve a problem by breaking it down into a series of smaller, more manageable problems. The author has compiled the most important and widely used of these function transforms in applied mathematics and electrical engineering. In addition to classical transforms, newer transforms such as wavelets, Zak, and Radon are included. The book is neither a table of transforms nor a textbook, but it is a source book that provides quick and easy access to the most important properties and formulas of function and generalized function transformations. It is organized for convenient reference, with chapters broken down into the following sections:

Great Transformations in Vertebrate Evolution

Author: Kenneth P. Dial
Publisher: University of Chicago Press
ISBN: 022626839X
Category : Science
Languages : en
Pages : 435

Book Description
How did flying birds evolve from running dinosaurs, terrestrial trotting tetrapods evolve from swimming fish, and whales return to swim in the sea? These are some of the great transformations in the 500-million-year history of vertebrate life. And with the aid of new techniques and approaches across a range of fields—work spanning multiple levels of biological organization from DNA sequences to organs and the physiology and ecology of whole organisms—we are now beginning to unravel the confounding evolutionary mysteries contained in the structure, genes, and fossil record of every living species. This book gathers a diverse team of renowned scientists to capture the excitement of these new discoveries in a collection that is both accessible to students and an important contribution to the future of its field. Marshaling a range of disciplines—from paleobiology to phylogenetics, developmental biology, ecology, and evolutionary biology—the contributors attack particular transformations in the head and neck, trunk, appendages such as fins and limbs, and the whole body, as well as offer synthetic perspectives. Illustrated throughout, Great Transformations in Vertebrate Evolution not only reveals the true origins of whales with legs, fish with elbows, wrists, and necks, and feathered dinosaurs, but also the relevance to our lives today of these extraordinary narratives of change.

Euclidean Geometry and Transformations

Author: Clayton W. Dodge
Publisher: Courier Corporation
ISBN: 0486138429
Category : Mathematics
Languages : en
Pages : 306

Book Description
This introduction to Euclidean geometry emphasizes transformations, particularly isometries and similarities. Suitable for undergraduate courses, it includes numerous examples, many with detailed answers. 1972 edition.

Affective Transformations

Author: Bernd Bösel
Publisher: BoD – Books on Demand
ISBN: 3957961653
Category : Social Science
Languages : en
Pages : 246

Book Description
Has the Affective Turn itself turned sour? Two seemingly contradictory developments serve as starting points for this volume. First, technologies from affective computing to social robotics focus on the recognition and modulation of human affectivity. Affect gets measured, calculated, controlled. Second, we witness a deeply concerning rise in hate speech, cybermobbing, and incitement to violence via social media. Affect gets mobilized, fomented, unleashed. Politics has become affective to such an extent that we need to rethink our regimes of affect organization. Media and Affect Studies now have to prove that they can cope with the return of the affective real.

Global Transformations

Author: David Held
Publisher: Stanford University Press
ISBN: 9780804736275
Category : Political Science
Languages : en
Pages : 548

Book Description
In this book, the authors set forth a new model of globalization that lays claims to supersede existing models, and then use this model to assess the way the processes of globalization have operated in different historic periods in respect to political organization, military globalization, trade, finance, corporate productivity, migration, culture, and the environment. Each of these topics is covered in a chapter which contrasts the contemporary nature of globalization with that of earlier epochs. In mapping the shape and political consequences of globalization, the authors concentrate on six states in advanced capitalist societies (SIACS): the United States, the United Kingdom, Sweden, France, Germany, and Japan. For comparative purposes, other statesparticularly those with developing economicsare referred to and discussed where relevant. The book concludes by systematically describing and assessing contemporary globalization, and appraising the implications of globalization for the sovereignty and autonomy of SIACS. It also confronts directly the political fatalism that surrounds much discussion of globalization with a normative agenda that elaborates the possibilities for democratizing and civilizing the unfolding global transformation.

The Exquisite Book of Paper Flower Transformations

Author: Livia Cetti
Publisher: Abrams
ISBN: 1683350049
Category : Crafts & Hobbies
Languages : en
Pages : 407

Book Description
“Equips crafters with the skills for creating individual flowers and larger arrangements while providing a delightful overview on the basics of botany.” —Publishers Weekly In The Exquisite Book of Paper Flower Transformations, artist Livia Cetti ups the ante with a host of grander and more intricate flowers and projects—more blooms, more petals, stronger stems, and bigger, bolder arrangements! Cetti will teach you how to play with size, shape, color, and texture to create twenty-five vibrant single stems in a variety of natural shapes—globes, spikes, bells, saucers, rectangles, cones, and arcs—including hydrangeas, coral charm peonies, honeysuckles, and paperwhites. Then, you’ll use these elemental shapes to build the 15 bright, abundant arrangements, including bold wreaths, bountiful bouquets, fantastical gilded wall art, and blooming garlands. Introducing new, never-before-seen techniques for dyeing paper and creating moldable leaves and petals, this gorgeous guide is perfect for crafters of all skill levels interested in making realistic and unique home decor, gifts, accessories, and entertaining essentials. “Unlike fresh-cut flowers, paper blooms last forever. And if you make them like floral stylist, crafter and creative director Livia Cetti, they might even be mistaken for the real thing. One of the top paper-flower artists in the U.S.” —House & Home

Morphing

Author: Joseph Choma
Publisher: Laurence King Publishing
ISBN: 1780677227
Category : Architecture
Languages : en
Pages : 232

Book Description
Cylinders, spheres and cubes are a small handful of shapes that can be defined by a single word. However, most shapes cannot be found in a dictionary. They belong to an alternative plastic world defined by trigonometry: a mathematical world where all shapes can be described under one systematic language and where any shape can transform into another. This visually striking guidebook clearly and systematically lays out the basic foundation for using these mathematical transformations as design tools. It is intended for architects, designers, and anyone with the curiosity to understand the link between shapes and the equations behind them.