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History of Mathematics: States of the Art
ISBN: 9780122040559 / Angielski / Twarda / 394 str. The contributors and their methods are diverse. Their papers deal with subjects such as anamorphic art, the geometry of Durer, musical works of Mozart and Beethoven, the history of negative numbers, the development of mathematical notation, and efforts to bring mathematics to bear on problems in commerce and engineering. All papers have English summaries.
This book provides historians of mathematics or mathematicians with an interest in history with an overview of the methods, concerns, and results of research in the history of mathematics as it stands today. The contributors and their methods are diverse. Their papers deal with subjects such as anamorphic art, the geometry of Durer, musical works of Mozart...
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298,46 zł |
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The History of Modern Mathematics: Images, Ideas, and Communities
ISBN: 9780125996631 / Angielski / Twarda / 301 str. This volume contains nine essays dealing with historical issues of mathematics. The topics covered span three different approaches to the history of mathematics that may be considered both representative and vital tothe field. The first section, Images of Mathematics, addresses the historiographical and philosophical issues involved in determining the meaning of mathematical history. The second section, Differential Geometry and Analysis, traces the convoluted development of the ideas of differential geometry and analysis. The third section, Research Communities and International...
This volume contains nine essays dealing with historical issues of mathematics. The topics covered span three different approaches to the history of m...
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511,04 zł |
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Zero: The Biography of a Dangerous Idea
ISBN: 9780140296471 / Angielski / Miękka / 272 str. Popular math at its most entertaining and enlightening. "Zero is really something"-Washington Post
A New York Times Notable Book. The Babylonians invented it, the Greeks banned it, the Hindus worshiped it, and the Church used it to fend off heretics. Now it threatens the foundations of modern physics. For centuries the power of zero savored of the demonic; once harnessed, it became the most important tool in mathematics. For zero, infinity's twin, is not like other numbers. It is both nothing and everything. In Zero, Science Journalist Charles Seife follows... Popular math at its most entertaining and enlightening. "Zero is really something"-Washington Post
A New York Times Notable Book. The B... |
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73,90 zł |
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An Introduction to Mathematics
ISBN: 9780195002119 / Angielski / Miękka / 208 str. This distinguished little book is a brisk introduction to a series of mathematical concepts, a history of their development, and a concise summary of how today's reader may use them.
This distinguished little book is a brisk introduction to a series of mathematical concepts, a history of their development, and a concise summary of ...
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149,71 zł |
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Philosophy of Mathematics and Mathematical Practice in the Seventeenth Century
ISBN: 9780195084634 / Angielski / Twarda / 288 str. The seventeenth century saw dramatic advances in mathematical theory and practice. With the recovery of many of the classical Greek mathematical texts, new techniques were introduced, and within 100 years, the rules of analytic geometry, geometry of indivisibles, arithmetic of infinites, and calculus were developed. Although many technical studies have been devoted to these innovations, Mancosu provides the first comprehensive account of the relationship between mathematical advances of the seventeenth century and the philosophy of mathematics of the period. Starting with the Renaissance...
The seventeenth century saw dramatic advances in mathematical theory and practice. With the recovery of many of the classical Greek mathematical texts...
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cena:
1069,62 zł |
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What Is Mathematics?: An Elementary Approach to Ideas and Methods
ISBN: 9780195105193 / Angielski / Miękka / 592 str. For more than two thousand years a familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its...
For more than two thousand years a familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cult...
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84,96 zł |
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The Provenance of Pure Reason: Essays in the Philosophy of Mathematics and Its History
ISBN: 9780195141924 / Angielski / Twarda / 342 str. William Tait is one of the most distinguished philosophers of mathematics of the last fifty years. This volume collects his most important published philosophical papers from the 1980's to the present. The articles cover a wide range of issues in the foundations and philosophy of mathematics, including some on historical figures ranging from Plato to Godel. Tait's main contributions were initially in proof theory and constructive mathematics, later moving on to more philosophical subjects including finitism and skepticism about mathematics. This collection, presented as a whole, reveals...
William Tait is one of the most distinguished philosophers of mathematics of the last fifty years. This volume collects his most important published p...
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609,81 zł |
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The Nothing That Is: A Natural History of Zero
ISBN: 9780195142372 / Angielski / Miękka / 240 str. A symbol for what is not there, an emptiness that increases any number it's added to, an inexhaustible and indispensable paradox. As we enter the year 2000, zero is once again making its presence felt. Nothing itself, it makes possible a myriad of calculations. Indeed, without zero mathematics as we know it would not exist. And without mathematics our understanding of the universe would be vastly impoverished. But where did this nothing, this hollow circle, come from? Who created it? And what, exactly, does it mean?
Robert Kaplan's The Nothing That Is: A Natural History of Zero begins as... A symbol for what is not there, an emptiness that increases any number it's added to, an inexhaustible and indispensable paradox. As we enter the year...
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61,54 zł |
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A Smoother Pebble: Mathematical Explorations
ISBN: 9780195144369 / Angielski / Twarda / 280 str. This book takes a novel look at the topics of school mathematics--arithmetic, geometry, algebra, and calculus. In this stroll on the mathematical seashore we hope to find, quoting Newton, ..".a smoother pebble or a prettier shell than ordinary..." This book assembles a collection of mathematical pebbles that are important as well as beautiful.
This book takes a novel look at the topics of school mathematics--arithmetic, geometry, algebra, and calculus. In this stroll on the mathematical seas...
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293,40 zł |
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The Nine Chapters on the Mathematical Art: Companion and Commentary
ISBN: 9780198539360 / Angielski / Twarda / 616 str. The Nine Chapters on the Mathematical Art has been the most important mathematical source in China for the past 2000 years, comparable in significance to Euclid's Elements in the West. The Nine Chapters quickly acquired a distinguished reputation, and was the standard mathematics textbook in China and the surrounding regions until Western science was introduced in about 1600. This volume contains the first complete English translation of the Nine Chapters, together with the illuminating commentary of Liu Hui written in the 3rd century AD and other early century commentaries and further...
The Nine Chapters on the Mathematical Art has been the most important mathematical source in China for the past 2000 years, comparable in significance...
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cena:
2592,77 zł |
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The Mathematics of Great Amateurs
ISBN: 9780198539391 / Angielski / Miękka / 240 str. This unique history surveys the mathematical contributions of numerous individuals noted mainly for their groundbreaking activities in other fields. It evaluates the discoveries of such luminaries as Plato, Leonardo da Vinci, Omar Khayyam, Jan de Witt, Denis Diderot, William George Horner, Antoine Arnauld, and many others, providing fascinating information on their lives and circumstances. The book also includes a valuable introductory essay by Professor Jeremy Gray, who comments on changes that have taken place in the study of history and mathematics since the initial publication of this...
This unique history surveys the mathematical contributions of numerous individuals noted mainly for their groundbreaking activities in other fields. I...
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cena:
609,81 zł |
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The Infinite in the Infinite
ISBN: 9780198539506 / Angielski / Twarda / 544 str. A conversation between Euclid and the ghost of Socrates. . . the paths of the moon and the sun charted by the stone-builders of ancient Europe. . .the Greek ideal of the golden mean by which they measured beauty. . . Combining historical fact with a retelling of ancient myths and legends, this lively and engaging book describes the historical, religious and geographical background that gave rise to mathematics in ancient Egypt, Babylon, China, Greece, India, and the Arab world. Each chapter contains a case study where mathematics is applied to the problems of the era, including the area of...
A conversation between Euclid and the ghost of Socrates. . . the paths of the moon and the sun charted by the stone-builders of ancient Europe. . .the...
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cena:
609,81 zł |
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John Pell (1611-1685) and His Correspondence with Sir Charles Cavendish: The Mental World of an Early Modern Mathematician
ISBN: 9780198564843 / Angielski / Twarda / 658 str. Writing in 1939, the historian of mathematics Herbert Turnbull described John Pell as 'a mysterious figure' and commented: 'he may well prove to be an unsuspected genius, for his manuscripts appear to survive, unexamined, in the British Museum.' Turnbull's expectations were pitched a little too high: although Pell was a man of unusual intellectual abilities, and one of the leading mathematicians of his day, his work does not merit any use of the term 'genius'. The term 'mysterious', on the other hand, was well deserved; and no less mysterious is the fact that the great majority of Pell's...
Writing in 1939, the historian of mathematics Herbert Turnbull described John Pell as 'a mysterious figure' and commented: 'he may well prove to be an...
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cena:
1443,23 zł |
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The Architecture of Modern Mathematics: Essays in History and Philosophy
ISBN: 9780198567936 / Angielski / Twarda / 442 str. This edited volume, aimed at both students and researchers in philosophy, mathematics and history of science, highlights leading developments in the overlapping areas of philosophy and the history of modern mathematics. It is a coherent, wide ranging account of how a number of topics in the philosophy of mathematics must be reconsidered in the light of the latest historical research and how a number of historical accounts can be deepened by embracing philosophical questions.
This edited volume, aimed at both students and researchers in philosophy, mathematics and history of science, highlights leading developments in the o...
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cena:
581,07 zł |
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The Limits of Abstraction
ISBN: 9780199246182 / Angielski / Twarda / 213 str. Kit Fine develops a Fregean theory of abstraction, and suggests that it may yield a new philosophical foundation for mathematics, one that can account for both our reference to various mathematical objects and our knowledge of various mathematical truths. The Limits of Abstraction breaks new ground both technically and philosophically.
Kit Fine develops a Fregean theory of abstraction, and suggests that it may yield a new philosophical foundation for mathematics, one that can account...
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cena:
563,83 zł |
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The Mathematics of Collective Action
ISBN: 9780202307909 / Angielski / Miękka / 191 str. Philosophers, social scientists, and laymen have used two perspectives in analyzing social action. One sees man's action as the result of causal forces, and the other sees action as purposive and goal directed. Mathematical treatment of social action has shown this same dichotomy. Some models of behavior describe a causal process, in which there is no place for intention or purpose. Most stochastic models of behavior, whether individual or group, are like this. Another body of work, however, employs purpose, anticipation of some future state, and action designed to maximize the proximity to...
Philosophers, social scientists, and laymen have used two perspectives in analyzing social action. One sees man's action as the result of causal force...
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cena:
191,75 zł |
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Squaring the Circle: The War Between Hobbes and Wallis
ISBN: 9780226399003 / Angielski / Miękka / 433 str. In 1655, the philosopher Thomas Hobbes claimed he had solved the centuries-old problem of "squaring of the circle" (constructing a square equal in area to a given circle). With a scathing rebuttal to Hobbes's claims, the mathematician John Wallis began one of the longest and most intense intellectual disputes of all time. "Squaring the Circle" is a detailed account of this controversy, from the core mathematics to the broader philosophical, political, and religious issues at stake.
Hobbes believed that by recasting geometry in a materialist mold, he could solve any geometric problem and... In 1655, the philosopher Thomas Hobbes claimed he had solved the centuries-old problem of "squaring of the circle" (constructing a square equal in are...
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cena:
164,97 zł |
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Mathematics: The New Golden Age
ISBN: 9780231116398 / Angielski / Miękka / 336 str. Mathematics: The New Golden Age offers a glimpse of the extraordinary vistas and bizarre universes opened up by contemporary mathematicians: Hilbert's tenth problem and the four-color theorem, Gaussian integers, chaotic dynamics and the Mandelbrot set, infinite numbers, and strange number systems. Why a "new golden age"? According to Keith Devlin, we are currently witnessing an astronomical amount of mathematical research. Charting the most significant developments that have taken place in mathematics since 1960, Devlin expertly describes these advances for the interested layperson and...
Mathematics: The New Golden Age offers a glimpse of the extraordinary vistas and bizarre universes opened up by contemporary mathematicians: Hi...
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cena:
122,96 zł |
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Abel's Proof: An Essay on the Sources and Meaning of Mathematical Unsolvability
ISBN: 9780262661829 / Angielski / Miękka / 213 str. In 1824 a young Norwegian named Niels Henrik Abel proved conclusively that algebraic equations of the fifth order are not solvable in radicals. In this book Peter Pesic shows what an important event this was in the history of thought. He also presents it as a remarkable human story. Abel was twenty-one when he self-published his proof, and he died five years later, poor and depressed, just before the proof started to receive wide acclaim. Abel's attempts to reach out to the mathematical elite of the day had been spurned, and he was unable to find a position that would allow him to work in... In 1824 a young Norwegian named Niels Henrik Abel proved conclusively that algebraic equations of the fifth order are not solvable in radicals. In ... |
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95,63 zł |
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A History of Pi
ISBN: 9780312381851 / Angielski / Miękka / 208 str. The history of pi, says the author, though a small part of the history of mathematics, is nevertheless a mirror of the history of man. Petr Beckmann holds up this mirror, giving the background of the times when pi made progress -- and also when it did not, because science was being stifled by militarism or religious fanaticism. The history of pi, says the author, though a small part of the history of mathematics, is nevertheless a mirror of the history of man. Petr Beckman... |
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cena:
73,86 zł |
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