Makers of Mathematics

Author: Stuart Hollingdale

Publisher: Courier Corporation

ISBN: 0486450074

Category: Mathematics

Page: 439

View: 2987

Each chapter of this portrait of the evolution of mathematics examines the work of an individual — Archimedes, Descartes, Fermat, Pascal, Newton, Einstein, and others — to explore the mathematics of his era. Rather than a series of biographical profiles, readers encounter an accessible chronology of pioneering developments in mathematics. 1989 edition.
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A Source Book in Mathematics

Author: David Eugene Smith

Publisher: Courier Corporation

ISBN: 0486158292

Category: Mathematics

Page: 736

View: 8384

The writings of Newton, Leibniz, Pascal, Riemann, Bernoulli, and others in a comprehensive selection of 125 treatises dating from the Renaissance to the late 19th century — most unavailable elsewhere.
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The Works of Archimedes

Author: Archimedes

Publisher: Courier Corporation

ISBN: 0486154394

Category: Mathematics

Page: 576

View: 3209

Complete works of ancient geometer feature such topics as the famous problems of the ratio of the areas of a cylinder and an inscribed sphere; the properties of conoids, spheroids, and spirals; more.
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Greek Mathematical Thought and the Origin of Algebra

Author: Jacob Klein

Publisher: Courier Corporation

ISBN: 0486319814

Category: Mathematics

Page: 384

View: 1710

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.
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The Works of Archimedes: Volume 2, On Spirals

Translation and Commentary

Author: Archimedes

Publisher: Cambridge University Press

ISBN: 1108186203

Category: Philosophy

Page: N.A

View: 7460

This is the second volume of the first fully-fledged English translation of the works of Archimedes - antiquity's greatest scientist and one of the most important scientific figures in history. It covers On Spirals and is based on a reconsideration of the Greek text and diagrams, now made possible through new discoveries from the Archimedes Palimpsest. On Spirals is one of Archimedes' most dazzling geometrical tours de force, suggesting a manner of 'squaring the circle' and, along the way, introducing the attractive geometrical object of the spiral. The form of argument, no less than the results themselves, is striking, and Reviel Netz contributes extensive and insightful comments that focus on Archimedes' scientific style, making this volume indispensable for scholars of classics and the history of science, and of great interest for the scientists and mathematicians of today.
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Archimedes

What Did He Do Beside Cry Eureka?

Author: Sherman Stein

Publisher: MAA

ISBN: 9780883857182

Category: Biography & Autobiography

Page: 155

View: 4022

This book looks carefully at Archimedes' fundamental advances in the fields of geometry, mechanics, and hydrostatics.
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A Source Book in Mathematics, 1200-1800

Author: Dirk Jan Struik

Publisher: Princeton University Press

ISBN: 1400858003

Category: Mathematics

Page: 444

View: 6163

These selected mathematical writings cover the years when the foundations were laid for the theory of numbers, analytic geometry, and the calculus. Originally published in 1986. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
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Foundations and Fundamental Concepts of Mathematics

Author: Howard Eves

Publisher: Courier Corporation

ISBN: 048613220X

Category: Mathematics

Page: 368

View: 6514

Third edition of popular undergraduate-level text offers historic overview, readable treatment of mathematics before Euclid, Euclid's Elements, non-Euclidean geometry, algebraic structure, formal axiomatics, sets, more. Problems, some with solutions. Bibliography.
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Famous Problems of Geometry and How to Solve Them

Author: Benjamin Bold

Publisher: Courier Corporation

ISBN: 0486137635

Category: Science

Page: 144

View: 3300

Delve into the development of modern mathematics and match wits with Euclid, Newton, Descartes, and others. Each chapter explores an individual type of challenge, with commentary and practice problems. Solutions.
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The Geometry of Art and Life

Author: Matila Costiescu Ghyka

Publisher: Courier Corporation

ISBN: 9780486235424

Category: Mathematics

Page: 174

View: 2243

This classic study probes the geometric interrelationships between art and life in discussions ranging from dissertations by Plato, Pythagoras, and Archimedes to examples of modern architecture and art. Other topics include the Golden Section, geometrical shapes on the plane, geometrical shapes in space, crystal lattices, and other fascinating subjects. 80 plates and 64 figures.
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Significant Figures

The Lives and Work of Great Mathematicians

Author: Ian Stewart

Publisher: Basic Books

ISBN: 0465096131

Category: Mathematics

Page: 320

View: 3979

A celebrated mathematician traces the history of math through the lives and work of twenty-five pioneering mathematicians In Significant Figures, acclaimed mathematician Ian Stewart introduces the visionaries of mathematics throughout history. Delving into the lives of twenty-five great mathematicians, Stewart examines the roles they played in creating, inventing, and discovering the mathematics we use today. Through these short biographies, we get acquainted with the history of mathematics from Archimedes to Benoit Mandelbrot, and learn about those too often left out of the cannon, such as Muhammad ibn Musa al-Khwarizmi (c. 780-850), the creator of algebra, and Augusta Ada King (1815-1852), Countess of Lovelace, the world's first computer programmer. Tracing the evolution of mathematics over the course of two millennia, Significant Figures will educate and delight aspiring mathematicians and experts alike.
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Stories about Maxima and Minima

Author: Vladimir Mikhaĭlovich Tikhomirov

Publisher: American Mathematical Soc.

ISBN: 0821801651

Category: Mathematics

Page: 187

View: 7913

Throughout the history of mathematics, maximum and minimum problems have played an important role in the evolution of the field. Many beautiful and important problems have appeared in a variety of branches of mathematics and physics, as well as in other fields of sciences. The greatest scientists of the past--Euclid, Archimedes, Heron, the Bernoullis, Newton, and many others--took part in seeking solutions to these concrete problems. The solutions stimulated the development of the theory, and, as a result, techniques were elaborated that made possible the solution of a tremendous variety of problems by a single method. This book presents fifteen ``stories'' designed to acquaint readers with the central concepts of the theory of maxima and minima, as well as with its illustrious history. This book is accessible to high school students and would likely be of interest to a wide variety of readers. In Part One, the author familiarizes readers with many concrete problems that lead to discussion of the work of some of the greatest mathematicians of all time. Part Two introduces a method for solving maximum and minimum problems that originated with Lagrange. While the content of this method has varied constantly, its basic conception has endured for over two centuries. The final story is addressed primarily to those who teach mathematics, for it impinges on the question of how and why to teach. Throughout the book, the author strives to show how the analysis of diverse facts gives rise to a general idea, how this idea is transformed, how it is enriched by new content, and how it remains the same in spite of these changes.
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The Rules of Algebra

Ars Magna

Author: Girolamo Cardano,T. Richard Witmer,Oystein Ore

Publisher: Courier Corporation

ISBN: 0486458733

Category: Mathematics

Page: 267

View: 9849

First published in 1545, this cornerstone in the history of mathematics contains the first revelation of the principles for solving cubic and biquadratic equations. T. Richard Witmer's excellent translation from the Latin, adapted to modern mathematical syntax, will appeal to both mathematicians and historians. Foreword by Oystein Ore.
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Diophantos of Alexandria

A Study in the History of Greek Algebra

Author: Sir Thomas Little Heath

Publisher: N.A

ISBN: N.A

Category: Mathematics, Greek

Page: 248

View: 2784

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Leonhard Euler

Mathematical Genius in the Enlightenment

Author: Ronald S. Calinger

Publisher: Princeton University Press

ISBN: 1400866634

Category: Biography & Autobiography

Page: 696

View: 5899

This is the first full-scale biography of Leonhard Euler (1707–83), one of the greatest mathematicians and theoretical physicists of all time. In this comprehensive and authoritative account, Ronald Calinger connects the story of Euler's eventful life to the astonishing achievements that place him in the company of Archimedes, Newton, and Gauss. Drawing chiefly on Euler’s massive published works and correspondence, which fill more than eighty volumes so far, this biography sets Euler’s work in its multilayered context—personal, intellectual, institutional, political, cultural, religious, and social. It is a story of nearly incessant accomplishment, from Euler’s fundamental contributions to almost every area of pure and applied mathematics—especially calculus, number theory, notation, optics, and celestial, rational, and fluid mechanics—to his advancements in shipbuilding, telescopes, ballistics, cartography, chronology, and music theory. The narrative takes the reader from Euler’s childhood and education in Basel through his first period in St. Petersburg, 1727–41, where he gained a European reputation by solving the Basel problem and systematically developing analytical mechanics. Invited to Berlin by Frederick II, Euler published his famous Introductio in analysin infinitorum, devised continuum mechanics, and proposed a pulse theory of light. Returning to St. Petersburg in 1766, he created the analytical calculus of variations, developed the most precise lunar theory of the time that supported Newton’s dynamics, and published the best-selling Letters to a German Princess—all despite eye problems that ended in near-total blindness. In telling the remarkable story of Euler and how his achievements brought pan-European distinction to the Petersburg and Berlin academies of sciences, the book also demonstrates with new depth and detail the central role of mathematics in the Enlightenment. Some images inside the book are unavailable due to digital copyright restrictions.
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A Concise History of Mathematics

Fourth Revised Edition

Author: Dirk J. Struik

Publisher: Courier Corporation

ISBN: 0486138887

Category: Science

Page: 256

View: 380

Compact, well-written survey ranges from the ancient Near East to 20th-century computer theory, covering Archimedes, Pascal, Gauss, Hilbert, and many others. "A work which is unquestionably one of the best." — Nature.
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A Manual of Greek Mathematics

Author: Sir Thomas L. Heath

Publisher: Courier Corporation

ISBN: 0486432319

Category: Mathematics

Page: 576

View: 8429

Originally published: Oxford: Clarendon Press, 1931; previously published by Dover Publications in 1963.
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