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Author : Thomas L. Saaty
Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.F/5 ( download)
Download or read book The Spirit and the Uses of the Mathematical Sciences written by Thomas L. Saaty and published by . This book was released on 1969 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Christopher J. Phillips
Publisher : University of Chicago Press
ISBN 13 : 022618501X
Total Pages : 242 pages
Book Rating : 4.2/5 (261 download)
Download or read book The New Math written by Christopher J. Phillips and published by University of Chicago Press. This book was released on 2014-12-04 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: An era of sweeping cultural change in America, the postwar years saw the rise of beatniks and hippies, the birth of feminism, and the release of the first video game. It was also the era of new math. Introduced to US schools in the late 1950s and 1960s, the new math was a curricular answer to Cold War fears of American intellectual inadequacy. In the age of Sputnik and increasingly sophisticated technological systems and machines, math class came to be viewed as a crucial component of the education of intelligent, virtuous citizens who would be able to compete on a global scale. In this history, Christopher J. Phillips examines the rise and fall of the new math as a marker of the period’s political and social ferment. Neither the new math curriculum designers nor its diverse legions of supporters concentrated on whether the new math would improve students’ calculation ability. Rather, they felt the new math would train children to think in the right way, instilling in students a set of mental habits that might better prepare them to be citizens of modern society—a world of complex challenges, rapid technological change, and unforeseeable futures. While Phillips grounds his argument in shifting perceptions of intellectual discipline and the underlying nature of mathematical knowledge, he also touches on long-standing debates over the place and relevance of mathematics in liberal education. And in so doing, he explores the essence of what it means to be an intelligent American—by the numbers.
Author : Dilip Kumar Sinha
Publisher :
ISBN 13 :
Total Pages : 234 pages
Book Rating : 4.3/5 (91 download)
Download or read book Aspects of Mathematical Sciences and Mathematical Education written by Dilip Kumar Sinha and published by . This book was released on 2002 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Philip Davis
Publisher : Springer Science & Business Media
ISBN 13 : 0817682953
Total Pages : 522 pages
Book Rating : 4.8/5 (176 download)
Download or read book The Mathematical Experience, Study Edition written by Philip Davis and published by Springer Science & Business Media. This book was released on 2011-10-28 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner of the 1983 National Book Award! "...a perfectly marvelous book about the Queen of Sciences, from which one will get a real feeling for what mathematicians do and who they are. The exposition is clear and full of wit and humor..." - The New Yorker (1983 National Book Award edition) Mathematics has been a human activity for thousands of years. Yet only a few people from the vast population of users are professional mathematicians, who create, teach, foster, and apply it in a variety of situations. The authors of this book believe that it should be possible for these professional mathematicians to explain to non-professionals what they do, what they say they are doing, and why the world should support them at it. They also believe that mathematics should be taught to non-mathematics majors in such a way as to instill an appreciation of the power and beauty of mathematics. Many people from around the world have told the authors that they have done precisely that with the first edition and they have encouraged publication of this revised edition complete with exercises for helping students to demonstrate their understanding. This edition of the book should find a new generation of general readers and students who would like to know what mathematics is all about. It will prove invaluable as a course text for a general mathematics appreciation course, one in which the student can combine an appreciation for the esthetics with some satisfying and revealing applications. The text is ideal for 1) a GE course for Liberal Arts students 2) a Capstone course for perspective teachers 3) a writing course for mathematics teachers. A wealth of customizable online course materials for the book can be obtained from Elena Anne Marchisotto ([email protected]) upon request.
Author : Raymond L. Wilder
Publisher : Elsevier
ISBN 13 : 1483100618
Total Pages : 195 pages
Book Rating : 4.4/5 (831 download)
Download or read book Mathematics as a Cultural System written by Raymond L. Wilder and published by Elsevier. This book was released on 2014-05-20 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics as a Cultural System discusses the relationship between mathematics and culture. The book is comprised of eight chapters discussing topics that support the concept of mathematics as a cultural system. Chapter I deals with the nature of culture and cultural systems, while Chapter 2 provides examples of cultural patterns observable in the evolution of mechanics. Chapter III treats historical episodes as a laboratory for the illustration of patterns and forces that have been operative in cultural change. Chapter IV covers hereditary stress, and Chapter V discusses consolidation as a force and process. Chapter VI talks about the singularities in the evolution of mechanics, while Chapter 7 deals with the laws governing the evolution of mathematics. Chapter VIII tackles the role and future of mathematics. The book will be of great interest to readers who are curious about how mathematics relates to culture.
Author : Alma Steingart
Publisher : University of Chicago Press
ISBN 13 : 0226824195
Total Pages : 300 pages
Book Rating : 4.2/5 (268 download)
Download or read book Axiomatics written by Alma Steingart and published by University of Chicago Press. This book was released on 2023-01-17 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first history of postwar mathematics, offering a new interpretation of the rise of abstraction and axiomatics in the twentieth century. Why did abstraction dominate American art, social science, and natural science in the mid-twentieth century? Why, despite opposition, did abstraction and theoretical knowledge flourish across a diverse set of intellectual pursuits during the Cold War? In recovering the centrality of abstraction across a range of modernist projects in the United States, Alma Steingart brings mathematics back into the conversation about midcentury American intellectual thought. The expansion of mathematics in the aftermath of World War II, she demonstrates, was characterized by two opposing tendencies: research in pure mathematics became increasingly abstract and rarified, while research in applied mathematics and mathematical applications grew in prominence as new fields like operations research and game theory brought mathematical knowledge to bear on more domains of knowledge. Both were predicated on the same abstractionist conception of mathematics and were rooted in the same approach: modern axiomatics. For American mathematicians, the humanities and the sciences did not compete with one another, but instead were two complementary sides of the same epistemological commitment. Steingart further reveals how this mathematical epistemology influenced the sciences and humanities, particularly the postwar social sciences. As mathematics changed, so did the meaning of mathematization. Axiomatics focuses on American mathematicians during a transformative time, following a series of controversies among mathematicians about the nature of mathematics as a field of study and as a body of knowledge. The ensuing debates offer a window onto the postwar development of mathematics band Cold War epistemology writ large. As Steingart’s history ably demonstrates, mathematics is the social activity in which styles of truth—here, abstraction—become synonymous with ways of knowing.
Author : Giandomenico Sica
Publisher : Polimetrica s.a.s.
ISBN 13 : 8876990143
Total Pages : 353 pages
Book Rating : 4.8/5 (769 download)
Download or read book Essays on the Foundations of Mathematics and Logic written by Giandomenico Sica and published by Polimetrica s.a.s.. This book was released on 2005 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Murray S. Klamkin
Publisher : SIAM
ISBN 13 : 0898712041
Total Pages : 346 pages
Book Rating : 4.8/5 (987 download)
Download or read book Mathematical Modelling written by Murray S. Klamkin and published by SIAM. This book was released on 1987-01-01 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Miscellaneous.
Author : Mark van Atten
Publisher : Springer
ISBN 13 : 3319100319
Total Pages : 336 pages
Book Rating : 4.3/5 (191 download)
Download or read book Essays on Gödel’s Reception of Leibniz, Husserl, and Brouwer written by Mark van Atten and published by Springer. This book was released on 2014-11-21 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume tackles Gödel's two-stage project of first using Husserl's transcendental phenomenology to reconstruct and develop Leibniz' monadology, and then founding classical mathematics on the metaphysics thus obtained. The author analyses the historical and systematic aspects of that project, and then evaluates it, with an emphasis on the second stage. The book is organised around Gödel's use of Leibniz, Husserl and Brouwer. Far from considering past philosophers irrelevant to actual systematic concerns, Gödel embraced the use of historical authors to frame his own philosophical perspective. The philosophies of Leibniz and Husserl define his project, while Brouwer's intuitionism is its principal foil: the close affinities between phenomenology and intuitionism set the bar for Gödel's attempt to go far beyond intuitionism. The four central essays are `Monads and sets', `On the philosophical development of Kurt Gödel', `Gödel and intuitionism', and `Construction and constitution in mathematics'. The first analyses and criticises Gödel's attempt to justify, by an argument from analogy with the monadology, the reflection principle in set theory. It also provides further support for Gödel's idea that the monadology needs to be reconstructed phenomenologically, by showing that the unsupplemented monadology is not able to found mathematics directly. The second studies Gödel's reading of Husserl, its relation to Leibniz' monadology, and its influence on his publishe d writings. The third discusses how on various occasions Brouwer's intuitionism actually inspired Gödel's work, in particular the Dialectica Interpretation. The fourth addresses the question whether classical mathematics admits of the phenomenological foundation that Gödel envisaged, and concludes that it does not. The remaining essays provide further context. The essays collected here were written and published over the last decade. Notes have been added to record further thoughts, changes of mind, connections between the essays, and updates of references.
Author :
Publisher :
ISBN 13 :
Total Pages : 728 pages
Book Rating : 4.3/5 (91 download)
Download or read book MAA Notes written by and published by . This book was released on 1983 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Theodora Vardouli
Publisher : Routledge
ISBN 13 : 042955933X
Total Pages : 327 pages
Book Rating : 4.4/5 (295 download)
Download or read book Computer Architectures written by Theodora Vardouli and published by Routledge. This book was released on 2019-11-19 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer Architectures is a collection of multidisciplinary historical works unearthing sites, concepts, and concerns that catalyzed the cross-contamination of computers and architecture in the mid-20th century. Weaving together intellectual, social, cultural, and material histories, this book paints the landscape that brought computing into the imagination, production, and management of the built environment, whilst foregrounding the impact of architecture in shaping technological development. The book is organized into sections corresponding to the classic von Neumann diagram for computer architecture: program (control unit), storage (memory), input/output and computation (arithmetic/logic unit), each acting as a quasi-material category for parsing debates among architects, engineers, mathematicians, and technologists. Collectively, authors bring forth the striking homologies between a computer program and an architectural program, a wall and an interface, computer memory and storage architectures, structures of mathematics and structures of things. The collection initiates new histories of knowledge and technology production that turn an eye toward disciplinary fusions and their institutional and intellectual drives. Constructing the common ground between design and computing, this collection addresses audiences working at the nexus of design, technology, and society, including historians and practitioners of design and architecture, science and technology scholars, and media studies scholars.
Author : Paul Ernest
Publisher : Routledge
ISBN 13 : 1135387540
Total Pages : 344 pages
Book Rating : 4.1/5 (353 download)
Download or read book The Philosophy of Mathematics Education written by Paul Ernest and published by Routledge. This book was released on 2002-11-01 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although many agree that all teaching rests on a theory of knowledge, there has been no in-depth exploration of the implications of the philosophy of mathematics for education. This is Paul Ernest's aim. Building on the work of Lakatos and Wittgenstein it challenges the prevalent notion that mathematical knowledge is certain, absolute and neutral, and offers instead an account of mathematics as a social construction. This has profound educational implications for social issues, including gender, race and multiculturalism; for pedagogy, including investigations and problem solving; and challenges hierarchical views of mathematics, learning and ability. Beyond this, the book offers a well-grounded model of five educational ideologies, each with its own epistemology, values, aims and social group of adherents. An analysis of the impact of these groups on the National Curriculum results in a powerful critique, revealing the questionable assumptions, values and interests upon which it rests. The book finishes on an optimistic note, arguing that pedagogy, left unspecified by the National Curriculum, is the way to achieve the radical aims of educating confident problem posers and solvers who are able to critically evaluate the social uses of mathematics.
Author : Richard A. Feist
Publisher : University of Ottawa Press
ISBN 13 : 0776618660
Total Pages : 241 pages
Book Rating : 4.7/5 (766 download)
Download or read book Husserl and the Sciences written by Richard A. Feist and published by University of Ottawa Press. This book was released on 2004-02-18 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Edmund Husserl (1859-1938) is one of the previous century's most important thinkers. Often regarded as the "Father of phenomenology," this collection of essays reveals that he is indeed much more than that. The breadth of Husserl's thought is considerable and much remains unexplored. An underlying theme of this volume is that Husserl is constantly returning to origins, revising his thought in the light of new knowledge offered by the sciences.
Author : Douglas Grouws
Publisher : IAP
ISBN 13 : 1607528746
Total Pages : 784 pages
Book Rating : 4.6/5 (75 download)
Download or read book Handbook of Research on Mathematics Teaching and Learning written by Douglas Grouws and published by IAP. This book was released on 2006-11-01 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sponsored by the National Council of Teachers of Mathematics and written by leading experts in the field of mathematics education, the Handbook is specifically designed to make important, vital scholarship accessible to mathematics education professors, graduate students, educational researchers, staff development directors, curriculum supervisors, and teachers. The Handbook provides a framework for understanding the evolution of the mathematics education research field against the backdrop of well-established conceptual, historical, theoretical, and methodological perspectives. It is an indispensable working tool for everyone interested in pursuing research in mathematics education as the references for each of the Handbook's twenty-nine chapters are complete resources for both current and past work in that particular area.
Author : Paul B. Scheurer
Publisher : Springer Science & Business Media
ISBN 13 : 9400928092
Total Pages : 406 pages
Book Rating : 4.4/5 (9 download)
Download or read book Newton’s Scientific and Philosophical Legacy written by Paul B. Scheurer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of the International Colloqui um "Newton's Scientific and Philosophical Legacy", that was held at the Catholic University of Nijmegen (The Netherlands) from June 9th to 12th 1987 to celebrate the Tercentenary of the publication of Newton's Philo sophiae Naturalis Principia Mathematica (1667). Although 1987 was a busy year for Newton scholars, we were happy that five of most prom inent among them were able to come to Nijmegen and speak on the vari ous aspects of Newton's thought. They are the Professors I. Bernard Cohen (Harvard), Gale Christianson (Indiana State), B.J. Dobbs (Northwestern), Richard H. Popkin (UCLA) and Mordechai Feingold (Boston University). No doubt, recent scholarship has put Newton's genius in a quite different perspective from the one that had come to make up what may be called Newtonian mythology. Although his achievements in the areas of mechanics, mathematics, and optics remain indisputed, Newton's scientific efforts were apparently entirely subordi nate to his religious beliefs. This volume has been divided into four parts, preceded by a Pream ble in which Prof. Christianson offers a vivid portrait of Newton as a per son. The first part deals with the science of Newton as he himself under stood that term. The second part considers the influence of Newton's work on later scientific developments. The third part deals primarily with the question of the methodological influence of Newton, and the last part with his more philosophical legacy. Two editorial remarks are due.
Author : Shyam Wuppuluri
Publisher : Springer
ISBN 13 : 3319444182
Total Pages : 524 pages
Book Rating : 4.3/5 (194 download)
Download or read book Space, Time and the Limits of Human Understanding written by Shyam Wuppuluri and published by Springer. This book was released on 2016-12-01 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this compendium of essays, some of the world’s leading thinkers discuss their conceptions of space and time, as viewed through the lens of their own discipline. With an epilogue on the limits of human understanding, this volume hosts contributions from six or more diverse fields. It presumes only rudimentary background knowledge on the part of the reader. Time and again, through the prism of intellect, humans have tried to diffract reality into various distinct, yet seamless, atomic, yet holistic, independent, yet interrelated disciplines and have attempted to study it contextually. Philosophers debate the paradoxes, or engage in meditations, dialogues and reflections on the content and nature of space and time. Physicists, too, have been trying to mold space and time to fit their notions concerning micro- and macro-worlds. Mathematicians focus on the abstract aspects of space, time and measurement. While cognitive scientists ponder over the perceptual and experiential facets of our consciousness of space and time, computer scientists theoretically and practically try to optimize the space-time complexities in storing and retrieving data/information. The list is never-ending. Linguists, logicians, artists, evolutionary biologists, geographers etc., all are trying to weave a web of understanding around the same duo. However, our endeavour into a world of such endless imagination is restrained by intellectual dilemmas such as: Can humans comprehend everything? Are there any limits? Can finite thought fathom infinity? We have sought far and wide among the best minds to furnish articles that provide an overview of the above topics. We hope that, through this journey, a symphony of patterns and tapestry of intuitions will emerge, providing the reader with insights into the questions: What is Space? What is Time? Chapter [15] of this book is available open access under a CC BY 4.0 license.
Author : Ivor Grattan-Guinness
Publisher : Routledge
ISBN 13 : 1134957491
Total Pages : 1788 pages
Book Rating : 4.1/5 (349 download)
Download or read book Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences written by Ivor Grattan-Guinness and published by Routledge. This book was released on 2002-09-11 with total page 1788 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Examines the history and philosophy of the mathematical sciences in a cultural context, tracing their evolution from ancient times up to the twentieth century * 176 articles contributed by authors of 18 nationalities * Chronological table of main events in the development of mathematics * Fully integrated index of people, events and topics * Annotated bibliographies of both classic and contemporary sources * Unique coverage of Ancient and non-Western traditions of mathematics
