Search Results for "the-changing-shape-of-geometry-celebrating-a-century-of-geometry-and-geometry-teaching-maa-spectrum-series"

The Changing Shape of Geometry

The Changing Shape of Geometry

Celebrating a Century of Geometry and Geometry Teaching

  • Author: Chris Pritchard,Mathematical Association,Mathematical Association of America
  • Publisher: Cambridge University Press
  • ISBN: 9780521531627
  • Category: Mathematics
  • Page: 541
  • View: 4359
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Celebrating a century of geometry and geometry teaching, this book will give the reader an enjoyable insight into all things geometrical. There are a wealth of popular articles including sections on Pythagoras, the golden ratio and recreational geometry. Historical items, drawn principally from the Mathematical Gazette, are authored by mathematicians such as G. H. Hardy, Rouse Ball, Thomas Heath and Bertrand Russell as well as some more recent expositors. Thirty 'Desert Island Theorems' from distinguished mathematicians and educationalists give light to some surprising and beautiful results. Contributors include H. S. M. Coxeter, Michael Atiyah, Tom Apostol, Solomon Golomb, Keith Devlin, Nobel Laureate Leon Lederman, Carlo Séquin, Simon Singh, Christopher Zeeman and Pulitzer Prizewinner Douglas Hofstadter. The book also features the wonderful Eyeball Theorems of Peruvian geometer and web designer, Antonio Gutierrez. For anyone with an interest in mathematics and mathematics education this book will be an enjoyable and rewarding read.

Mathematical Reviews

Mathematical Reviews

  • Author: N.A
  • Publisher: N.A
  • ISBN: N.A
  • Category: Mathematics
  • Page: N.A
  • View: 7247
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The Shape of Inner Space

The Shape of Inner Space

String Theory and the Geometry of the Universe's Hidden Dimensions

  • Author: Shing-Tung Yau,Steve Nadis
  • Publisher: Basic Books
  • ISBN: 0465022669
  • Category: Science
  • Page: 400
  • View: 9312
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String theory says we live in a ten-dimensional universe, but that only four are accessible to our everyday senses. According to theorists, the missing six are curled up in bizarre structures known as Calabi-Yau manifolds. In The Shape of Inner Space, Shing-Tung Yau, the man who mathematically proved that these manifolds exist, argues that not only is geometry fundamental to string theory, it is also fundamental to the very nature of our universe. Time and again, where Yau has gone, physics has followed. Now for the first time, readers will follow Yau’s penetrating thinking on where we’ve been, and where mathematics will take us next. A fascinating exploration of a world we are only just beginning to grasp, The Shape of Inner Space will change the way we consider the universe on both its grandest and smallest scales.

A Handbook for Teaching and Learning in Higher Education

A Handbook for Teaching and Learning in Higher Education

Enhancing academic practice

  • Author: Heather Fry,Steve Ketteridge,Stephanie Marshall
  • Publisher: Routledge
  • ISBN: 1317650220
  • Category: Education
  • Page: 452
  • View: 5076
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This entirely new edition of a very successful book focuses on developing professional academic skills for supporting and supervising student learning and effective teaching. It is built on the premise that the roles of those who teach in higher education are complex and multi-faceted. A Handbook for Teaching and Learning in Higher Education is sensitive to the competing demands of teaching, research, scholarship, and academic management. The new edition reflects and responds to the rapidly changing context of higher education and to current understanding of how to best support student learning. Drawing together a large number of expert authors, it continues to feature extensive use of case studies that show how successful teachers have implemented these ideas. It includes key topics such as student engagement and motivation, internationalisation, employability, inclusive strategies for teaching, effective use of technology and issues relating to postgraduate students and student retention. Part 1 explores a number of aspects of the context of UK higher education that affect the education of students, looking at the drivers of institutional behaviours and how to achieve success as a university teacher. Part 2 examines learning, teaching and supervising in higher education and includes chapters on working with diversity, encouraging independent learning and learning gain. Part 3 considers approaches to teaching and learning in different disciplines, covering a full range including arts and humanities, social sciences, experimental sciences through to medicine and dentistry. Written to support the excellence in teaching and learning design required to bring about student learning of the highest quality, this will be essential reading for all new lecturers, particularly anyone taking an accredited course in teaching and learning in higher education, as well as those experienced lecturers who wish to improve their teaching practice. Those working in adult learning and educational development will also find the book to be a particularly useful resource. In addition it will appeal to staff who support learning and teaching in various other roles.

Sherlock Holmes in Babylon

Sherlock Holmes in Babylon

And Other Tales of Mathematical History

  • Author: Marlow Anderson,Victor Katz,Robin Wilson
  • Publisher: MAA
  • ISBN: 9780883855461
  • Category: Mathematics
  • Page: 387
  • View: 2015
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Collection of essays on the history of mathematics by distinguished authorities.

The Interpretation of Cultures

The Interpretation of Cultures

  • Author: Clifford Geertz
  • Publisher: Basic Books
  • ISBN: 0465093566
  • Category: Social Science
  • Page: 576
  • View: 4955
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In The Interpretation of Cultures, the most original anthropologist of his generation moved far beyond the traditional confines of his discipline to develop an important new concept of culture. This groundbreaking book, winner of the 1974 Sorokin Award of the American Sociological Association, helped define for an entire generation of anthropologists what their field is ultimately about.

Connections

Connections

The Geometric Bridge Between Art and Science

  • Author: Jay Kappraff
  • Publisher: World Scientific
  • ISBN: 9789812811394
  • Category: Science
  • Page: 486
  • View: 2830
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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."

Fascinating Mathematical People

Fascinating Mathematical People

Interviews and Memoirs

  • Author: Donald J. Albers,Gerald L. Alexanderson
  • Publisher: Princeton University Press
  • ISBN: 9781400839551
  • Category: Mathematics
  • Page: 352
  • View: 4572
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Fascinating Mathematical People is a collection of informal interviews and memoirs of sixteen prominent members of the mathematical community of the twentieth century, many still active. The candid portraits collected here demonstrate that while these men and women vary widely in terms of their backgrounds, life stories, and worldviews, they all share a deep and abiding sense of wonder about mathematics. Featured here--in their own words--are major research mathematicians whose cutting-edge discoveries have advanced the frontiers of the field, such as Lars Ahlfors, Mary Cartwright, Dusa McDuff, and Atle Selberg. Others are leading mathematicians who have also been highly influential as teachers and mentors, like Tom Apostol and Jean Taylor. Fern Hunt describes what it was like to be among the first black women to earn a PhD in mathematics. Harold Bacon made trips to Alcatraz to help a prisoner learn calculus. Thomas Banchoff, who first became interested in the fourth dimension while reading a Captain Marvel comic, relates his fascinating friendship with Salvador Dalí and their shared passion for art, mathematics, and the profound connection between the two. Other mathematical people found here are Leon Bankoff, who was also a Beverly Hills dentist; Arthur Benjamin, a part-time professional magician; and Joseph Gallian, a legendary mentor of future mathematicians, but also a world-renowned expert on the Beatles. This beautifully illustrated collection includes many photographs never before published, concise introductions by the editors to each person, and a foreword by Philip J. Davis. Some images inside the book are unavailable due to digital copyright restrictions.

Experimental and Computational Mathematics

Experimental and Computational Mathematics

Selected Writings

  • Author: Jonathan M. Borwein
  • Publisher: PSIpress
  • ISBN: 193563805X
  • Category: Experimental mathematics
  • Page: 297
  • View: 5265
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A quiet revolution in mathematical computing and scientific visualization took place in the latter half of the 20th century. These developments have dramatically enhanced modes of mathematical insight and opportunities for "exploratory" computational experimentation. This volume collects the experimental and computational contributions of Jonathan and Peter Borwein over the past quarter century.

The Mass Ornament

The Mass Ornament

Weimar Essays

  • Author: Siegfried Kracauer,Thomas Y. Levin
  • Publisher: Harvard University Press
  • ISBN: 9780674551633
  • Category: Literary Collections
  • Page: 403
  • View: 4340
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Siegfried Kracauer was one of the twentieth century's most brilliant cultural critics, a daring and prolific scholar, and an incisive theorist of film. In this volume his finest writings on modern society make their long-awaited appearance in English. This book is a celebration of the masses--their tastes, amusements, and everyday lives. Taking up themes of modernity, such as isolation and alienation, urban culture, and the relation between the group and the individual, Kracauer explores a kaleidoscope of topics: shopping arcades, the cinema, bestsellers and their readers, photography, dance, hotel lobbies, Kafka, the Bible, and boredom. For Kracauer, the most revelatory facets of modern life in the West lie on the surface, in the ephemeral and the marginal. Of special fascination to him is the United States, where he eventually settled after fleeing Germany and whose culture he sees as defined almost exclusively by "the ostentatious display of surface." With these essays, written in the 1920s and early 1930s and edited by the author in 1963, Kracauer was the first to demonstrate that studying the everyday world of the masses can bring great rewards. The Mass Ornament today remains a refreshing tribute to popular culture, and its impressively interdisciplinary essays continue to shed light not only on Kracauer's later work but also on the ideas of the Frankfurt School, the genealogy of film theory and cultural studies, Weimar cultural politics, and, not least, the exigencies of intellectual exile. In his introduction, Thomas Levin situates Kracauer in a turbulent age, illuminates the forces that influenced him--including his friendships with Walter Benjamin, Theodor Adorno, and other Weimar intellectuals--and provides the context necessary for understanding his ideas. Until now, Kracauer has been known primarily for his writings on the cinema. This volume brings us the full scope of his gifts as one of the most wide-ranging and penetrating interpreters of modern life.

Shaping Written Knowledge

Shaping Written Knowledge

The Genre and Activity of the Experimental Article in Science

  • Author: Charles Bazerman
  • Publisher: N.A
  • ISBN: 9780299116941
  • Category: Literary Criticism
  • Page: 356
  • View: 6436
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The forms taken by scientific writing help to determine the very nature of science itself. In this closely reasoned study, Charles Bazerman views the changing forms of scientific writing as solutions to rhetorical problems faced by scientists arguing for their findings. Examining such works as the early Philosophical Transactions and Newton's optical writings as well as Physical Review, Bazerman views the changing forms of scientific writing as solutions to rhetorical problems faced by scientists. The rhetoric of science is, Bazerman demonstrates, an embedded part of scientific activity that interacts with other parts of scientific activity, including social structure and empirical experience. This book presents a comprehensive historical account of the rise and development of the genre, and views these forms in relation to empirical experience.

Discipline & Punish

Discipline & Punish

The Birth of the Prison

  • Author: Michel Foucault
  • Publisher: Vintage
  • ISBN: 0307819299
  • Category: Social Science
  • Page: 352
  • View: 6412
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In this brilliant work, the most influential philosopher since Sartre suggests that such vaunted reforms as the abolition of torture and the emergence of the modern penitentiary have merely shifted the focus of punishment from the prisoner's body to his soul.

Mathematical Thought From Ancient to Modern Times

Mathematical Thought From Ancient to Modern Times

  • Author: Morris Kline
  • Publisher: Oxford University Press
  • ISBN: 0199770468
  • Category: Mathematics
  • Page: 432
  • View: 5310
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The major creations and developments in mathematics from the beginnings in Babylonia and Egypt through the first few decades of the twentieth century are presented with clarity and precision in this comprehensive historical study.

Geometry Driven Statistics

Geometry Driven Statistics

  • Author: Ian L. Dryden,John T. Kent
  • Publisher: John Wiley & Sons
  • ISBN: 1118866606
  • Category: Mathematics
  • Page: 432
  • View: 6668
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A timely collection of advanced, original material in the area of statistical methodology motivated by geometric problems, dedicated to the influential work of Kanti V. Mardia This volume celebrates Kanti V. Mardia's long and influential career in statistics. A common theme unifying much of Mardia’s work is the importance of geometry in statistics, and to highlight the areas emphasized in his research this book brings together 16 contributions from high-profile researchers in the field. Geometry Driven Statistics covers a wide range of application areas including directional data, shape analysis, spatial data, climate science, fingerprints, image analysis, computer vision and bioinformatics. The book will appeal to statisticians and others with an interest in data motivated by geometric considerations. Summarizing the state of the art, examining some new developments and presenting a vision for the future, Geometry Driven Statistics will enable the reader to broaden knowledge of important research areas in statistics and gain a new appreciation of the work and influence of Kanti V. Mardia.

Form & formlessness

Form & formlessness

questioning aesthetic abstractions through art projects, cross-disciplinary studies and product design education

  • Author: Cheryl Akner-Koler
  • Publisher: N.A
  • ISBN: N.A
  • Category: Philosophy
  • Page: 255
  • View: 8260
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Structure and Interpretation of Computer Programs

Structure and Interpretation of Computer Programs

  • Author: Harold Abelson
  • Publisher: Mit Press
  • ISBN: 9780262011532
  • Category: Computers
  • Page: 657
  • View: 4370
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Structure and Interpretation of Computer Programs has had a dramatic impact on computer science curricula over the past decade. This long-awaited revision contains changes throughout the text. There are new implementations of most of the major programming systems in the book, including the interpreters and compilers, and the authors have incorporated many small changes that reflect their experience teaching the course at MIT since the first edition was published. A new theme has been introduced that emphasizes the central role played by different approaches to dealing with time in computational models: objects with state, concurrent programming, functional programming and lazy evaluation, and nondeterministic programming. There are new example sections on higher-order procedures in graphics and on applications of stream processing in numerical programming, and many new exercises. In addition, all the programs have been reworked to run in any Scheme implementation that adheres to the IEEE standard.

Meditations on First Philosophy

Meditations on First Philosophy

  • Author: René Descartes
  • Publisher: Broadview Press
  • ISBN: 1460402618
  • Category: Philosophy
  • Page: 100
  • View: 6476
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Considered a foundational text in modern philosophy, the Meditations on First Philosophy presents numerous powerful arguments that to this day influence debates in epistemology, the philosophy of mind, and the philosophy of religion. This new translation incorporates revisions from the second Latin edition (1642) and the later French translation (1647) to make Descartes’ reasoning as lucid and engaging as possible. Also included in this edition is a brief introduction to Descartes and the Meditations, revised and expanded from Andrew Bailey’s acclaimed anthology, First Philosophy. The introduction helps the reader to understand the context and purpose of Descartes’ project without over-explaining his arguments.

Rethinking Mathematics

Rethinking Mathematics

Teaching Social Justice by the Numbers

  • Author: Eric Gutstein
  • Publisher: Rethinking Schools
  • ISBN: 0942961544
  • Category: Education
  • Page: 179
  • View: 1231
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A collection of more than thirty articles shows teachers how to weave social justice principles throughout the math curriculum, and how to integrate social justice math into other curricular areas as well.

The Fourier Transform and Its Applications

The Fourier Transform and Its Applications

  • Author: Ronald Newbold Bracewell,Ronald Bracewell
  • Publisher: McGraw-Hill Science, Engineering & Mathematics
  • ISBN: N.A
  • Category: Mathematics
  • Page: 616
  • View: 3239
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This text is designed for use in a senior undergraduate or graduate level course in Fourier Transforms. This text differs from many other fourier transform books in its emphasis on applications. Bracewell applies mathematical concepts to the physical world throughout this text, equipping students to think about the world and physics in terms of transforms.The pedagogy in this classic text is excellent. The author has included such tools as the pictorial dictionary of transforms and bibliographic references. In addition, there are many excellent problems throughout this book, which are more than mathematical exercises, often requiring students to think in terms of specific situations or asking for educated opinions. To aid students further, discussions of many of the problems can be found at the end of the book.

An Open Door to Number Theory

An Open Door to Number Theory

  • Author: Duff Campbell
  • Publisher: American Mathematical Soc.
  • ISBN: 1470443481
  • Category: Number theory
  • Page: 283
  • View: 1922
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A well-written, inviting textbook designed for a one-semester, junior-level course in elementary number theory. The intended audience will have had exposure to proof writing, but not necessarily to abstract algebra. That audience will be well prepared by this text for a second-semester course focusing on algebraic number theory. The approach throughout is geometric and intuitive; there are over 400 carefully designed exercises, which include a balance of calculations, conjectures, and proofs. There are also nine substantial student projects on topics not usually covered in a first-semester course, including Bernoulli numbers and polynomials, geometric approaches to number theory, the -adic numbers, quadratic extensions of the integers, and arithmetic generating functions.