The Ancient Tradition of Geometric Problems

Author: Wilbur Richard Knorr

Publisher: Courier Corporation

ISBN: 0486675327

Category: Mathematics

Page: 410

View: 2739

Illustrated study focuses on attempts by ancient Greeks to solve three classical problems: cube duplication, angle trisection, and circle quadrature. Origins of the study of conics, introduction of special mechanical curves, more. 1986 edition.

Exploring Classical Greek Construction Problems with Interactive Geometry Software

Author: Ad Meskens,Paul Tytgat

Publisher: Birkhäuser

ISBN: 3319428632

Category: Mathematics

Page: 185

View: 6343

In this book the classical Greek construction problems are explored in a didactical, enquiry based fashion using Interactive Geometry Software (IGS). The book traces the history of these problems, stating them in modern terminology. By focusing on constructions and the use of IGS the reader is confronted with the same problems that ancient mathematicians once faced. The reader can step into the footsteps of Euclid, Viète and Cusanus amongst others and then by experimenting and discovering geometric relationships far exceed their accomplishments. Exploring these problems with the neusis-method lets him discover a class of interesting curves. By experimenting he will gain a deeper understanding of how mathematics is created. More than 100 exercises guide him through methods which were developed to try and solve the problems. The exercises are at the level of undergraduate students and only require knowledge of elementary Euclidean geometry and pre-calculus algebra. It is especially well-suited for those students who are thinking of becoming a mathematics teacher and for mathematics teachers.

History of Mathematics

A Supplement

Author: Craig Smorynski

Publisher: Springer Science & Business Media

ISBN: 0387754814

Category: Mathematics

Page: 274

View: 7054

General textbooks, attempting to cover three thousand or so years of mathematical history, must necessarily oversimplify just about everything, the practice of which can scarcely promote a critical approach to the subject. To counter this, History of Mathematics offers deeper coverage of key select topics, providing students with material that could encourage more critical thinking. It also includes the proofs of important results which are typically neglected in the modern history of mathematics curriculum.

Mathematical Logic

Author: Stephen Cole Kleene

Publisher: Courier Corporation

ISBN: 0486317072

Category: Mathematics

Page: 416

View: 6769

Contents include an elementary but thorough overview of mathematical logic of 1st order; formal number theory; surveys of the work by Church, Turing, and others, including Gödel's completeness theorem, Gentzen's theorem, more.

Using History to Teach Mathematics

An International Perspective

Author: Victor J. Katz

Publisher: Cambridge University Press

ISBN: 9780883851630

Category: Mathematics

Page: 261

View: 2347

This volume examines how the history of mathematics can find application in the teaching of mathematics itself.

Mathematics celestial and terrestrial

Festschrift für Menso Folkerts zum 65. Geburtstag

Author: Joseph Warren Dauben

Publisher: N.A

ISBN: 9783804724822

Category: Mathematics

Page: 823

View: 6806

Acta historica Leopoldina

Author: Joseph Warren Dauben

Publisher: N.A

ISBN: 9783804724822

Category: Natural history

Page: 823

View: 5767

Philosophy of Mathematics and Deductive Structure in Euclid's Elements

Author: Ian Mueller

Publisher: Dover Books on Mathematics


Category: Mathematics

Page: 378

View: 7909

A survey of Euclid's Elements, this text provides an understanding of the classical Greek conception of mathematics. It offers a well-rounded perspective, examining similarities to modern views as well as differences. Rather than focusing strictly on historical and mathematical issues, the book examines philosophical, foundational, and logical questions. Although comprehensive in its treatment, this study represents a less cumbersome, more streamlined approach than the classic three-volume reference by Sir Thomas L. Heath (also available from Dover Publications). To make reading easier and to facilitate access to individual analyses and discussions, the author has included helpful appendixes. These list special symbols and additional propositions, along with all of the assumptions and propositions of the Elements and notations of their discussion within this volume.

Science and Its Times

Understanding the Social Significance of Scientific Discovery

Author: Neil Schlager

Publisher: Gale / Cengage Learning


Category: Science

Page: 429

View: 6373

Combining essays on people, theories, discoveries and concepts with overviews, primary documents and chronological elements, this reference offers a way to understand the impact of science on the course of human history and how science affects everyday life.

The History of Mathematics

Brief Version

Author: Victor J. Katz

Publisher: Addison-Wesley


Category: Mathematics

Page: 560

View: 5915

One of the leading historians in the mathematics field, Victor Katz provides a world view of mathematics, balancing ancient, early modern, and modern history. Egypt and Mesopotamia, Greek Mathematics to the Time of Euclid, Greek Mathematics from Archimedes to Ptolemy, Diophantus to Hypatia, Ancient and Medieval China, Ancient and Medieval India, The Mathematics of Islam, Mathematics in Medieval Europe, Mathematics in the Renaissance, Precalculus in the Seventeenth Century, Calculus in the Seventeenth Century, Analysis in the Eighteenth Century, Probability and Statistics in the Eighteenth Century, Algebra and Number Theory in the Eighteenth Century, Geometry in the Eighteenth Century, Algebra and Number Theory in the Nineteenth Century, Analysis in the Nineteenth Century, Statistics in the Nineteenth Century, Geometry in the Nineteenth Century, Aspects of the Twentieth Century For all readers interested in the history of mathematics.

MAA Notes

Author: N.A

Publisher: The Mathematical Association of America


Category: Education

Page: N.A

View: 1565

Educational Perspectives on Mathematics As Semiosis

From Thinking to Interpreting to Knowing

Author: Myrdene Anderson

Publisher: Legas Publishing


Category: Mathematics

Page: 364

View: 5701

Mathematics education research routinely receives the attention of educators, mathematicians, linguists, psychologists, anthropologists, and others. In this volume, the induction of students into mathematical meaning-making is studied through the prism of these several disciplines. What unites all such approaches to pedagogy and to the assessment of pegagogy- and to the subject matter of mathematics itself - is semiotics. Myrdene Anderson teaches at Purdue University, Adalira Saenz-Ludlow teaches at the U of North Carolina, Shea Zetlweger is former chair at Mount Union College, Ohio, Victor V. Cifarelli teaches at the U. ol North Carolina.

An Introduction to Harmonic Analysis

Author: Yitzhak Katznelson

Publisher: Courier Dover Publications

ISBN: 9780486633312

Category: Mathematics

Page: 264

View: 4497

This concrete approach to harmonic analysis begins with the circle group T and deals with classical Fourier series in the first five chapters, turning to the real line in chapter six, locally compact abelian groups in chapter seven, and commutative Banach algebras in final chapter.

The History of Mathematics

An Introduction

Author: David M. Burton

Publisher: McGraw-Hill Science, Engineering & Mathematics


Category: Mathematics

Page: 698

View: 9410

This text concentrates on the history of those topics typically covered in an undergraduate curriculum or in secondary schools. It presents a full account of how mathematics has developed over the last 5000 years, and assorted problems of varying degrees of difficulty have been interspersed throughout the text.

A History of Mathematics

An Introduction

Author: Victor J. Katz

Publisher: Addison Wesley


Category: Mathematics

Page: 879

View: 9928

Provides a world view of mathematics, balancing ancient, early modern and modern history. Problems are taken from their original sources, enabling students to understand how mathematicians in various times and places solved mathematical problems. In this new edition a more global perspective is taken, integrating more non-Western coverage including contributions from Chinese/Indian, and Islamic mathematics and mathematicians. An additional chapter covers mathematical techniques from other cultures. *Up to date, uses the results of very recent scholarship in the history of mathematics. *Provides summaries of the arguments of all important ideas in the field.

New Dictionary of Scientific Biography

Author: Noretta Koertge

Publisher: Scribner

ISBN: 9780684313214

Category: Science

Page: 7

View: 9715

Also available online as part of the Gale Virtual Reference Library under the title Complete dictionary of scientific biography.

Greek Mathematical Thought and the Origin of Algebra

Author: Jacob Klein

Publisher: Courier Corporation

ISBN: 9780486272894

Category: Mathematics

Page: 360

View: 8431

Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th–16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. This brought about the crucial change in the concept of number that made possible modern science — in which the symbolic "form" of a mathematical statement is completely inseparable from its "content" of physical meaning. Includes a translation of Vieta's Introduction to the Analytical Art. 1968 edition. Bibliography.

Encyclopedia of Philosophy: Cabanis - Destutt de Tracy

Author: Donald M. Borchert

Publisher: Thomson Gale/MacMillan Reference USA

ISBN: 9780028657820

Category: Philosophy

Page: 10

View: 5272

Containing material from hundreds of highly distinguished contributors representing the world's top universities and institutions, the second edition has a truly global perspective. It contains more than 2,100 entries -- including more than 450 new articles. Among the many topics covered are African, Islamic, Jewish, Russian, Chinese, and Buddhist philosophies; bioethics and biomedical ethics; art and aesthetics; epistemology; metaphysics; peace and war; social and political philosophy; the Holocaust; feminist thought; and much more. Additionally, the second edition also features 1,000 biographical entries on major figures in philosophical thought throughout history.