

Beschreibung
Informationen zum Autor Uta C. Merzbach is Curator Emeritus of Mathematics at the Smithsonian Institution and Director of the LHM InstituteThe late Carl B. Boyer was a professor of Mathematics at Brooklyn College and the author of several classic works on the ...Informationen zum Autor Uta C. Merzbach is Curator Emeritus of Mathematics at the Smithsonian Institution and Director of the LHM InstituteThe late Carl B. Boyer was a professor of Mathematics at Brooklyn College and the author of several classic works on the history of mathematics. Klappentext "Boyer and Merzbach distill thousands of years of mathematics into this fascinating chronicle. From the Greeks to Gödel, the mathematics is brilliant; the cast of characters is distinguished; the ebb and flow of ideas is everywhere evident. . . . Without doubt, this is--and will long remain--a classic one-volume history of mathematics and mathematicians who create it."--William Dunham, author of Journey Through Genius: The Great Theorems of Mathematics"Both readable and scholarly . . . a fine introduction to the topic."--J. David Bolter, author of Turing's Man"When we read a book like A History of Mathematics, we get the picture of a mounting structure, ever taller and broader and more beautiful and magnificent and with a foundation, moreover, that is as untainted and as functional now as it was when Thales worked out the first geometrical theorems nearly twenty-six centuries ago."--Isaac Asimov (from the Foreword)For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind's relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat's Last Theorem and the Poincaré conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs.Whether you're interested in the age of Plato and Aristotle or Poincaré and Hilbert, whether you want to know more about the Pythagorean theorem or the golden mean, A History of Mathematics is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it. Zusammenfassung The updated new edition of the classic and comprehensive guide to the history of mathematicsFor more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind's relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat's Last Theorem and the Poincaré Conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs. Distills thousands of years of mathematics into a single, approachable volume Covers mathematical discoveries, concepts, and thinkers, from Ancient Egypt to the present* Includes up-to-date references and an extensive chronological table of mathematical and general historical developments.Whether you're interested in the age of Plato and Aristotle or Poincaré and Hilbert, whether you want to know more about the Pythagorean theorem or the golden mean, A History of Mathematics is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it. Inhaltsverzeichnis Foreword by Isaac Asimov.Preface to the Third Edition.Preface to the Second Edition.Preface to the First Edition.1 Traces.Concepts and Relationships.Early Number Bases.Number Language and Counting.Spatial Relationships.2 Ancient Egypt.The Era and the Sources.Numbers and Fractions.Arithmetic Operations."Heap" Problems.Geometric Problems.Slope Problems.Arithmetic Pragmatism.3 Mesopotamia.The Era and the Sources.Cuneiform Writing.Numbers and Fractions; Sexagesimals.Positional Numeration.Sexagesimal Fractions.Approximations.Tables.Equations.Measurements: Pythagorean Triads.Polygonal Areas.Geometry as Applied Arithmetic.4 Hellenic Traditions.The Era and the Sources.Thales and Pythagoras.Numeration.Arithmetic and Logistic.Fifth Century Athens.Thr...
Autorentext
UTA C. MERZBACH is Curator Emeritus of Mathematics at the Smithsonian Institution and Director of the LHM Institute. The late CARL B. BOYER was a professor of mathematics at Brooklyn College and the author of several classic works on the history of mathematics.
Klappentext
The updated new edition of the classic and comprehensive guide to the history of mathematics For more than forty years, A History of Mathematics has been the reference of choice for those looking to learn about the fascinating history of humankind's relationship with numbers, shapes, and patterns. This revised edition features up-to-date coverage of topics such as Fermat's Last Theorem and the Poincaré Conjecture, in addition to recent advances in areas such as finite group theory and computer-aided proofs. Distills thousands of years of mathematics into a single, approachable volume Covers mathematical discoveries, concepts, and thinkers, from Ancient Egypt to the present * Includes up-to-date references and an extensive chronological table of mathematical and general historical developments. Whether you're interested in the age of Plato and Aristotle or Poincaré and Hilbert, whether you want to know more about the Pythagorean theorem or the golden mean, A History of Mathematics is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it.
Inhalt
Foreword by Isaac Asimov xi
Preface to the Third Edition xiii
Preface to the Second Edition xv
Preface to the First Edition xvii
1 Traces 1
Concepts and Relationships 1
Early Number Bases 3
Number Language and Counting 5
Spatial Relationships 6
2 Ancient Egypt 8
The Era and the Sources 8
Numbers and Fractions 10
Arithmetic Operations 12
"Heap" Problems 13
Geometric Problems 14
Slope Problems 18
Arithmetic Pragmatism 19
3 Mesopotamia 21
The Era and the Sources 21
Cuneiform Writing 22
Numbers and Fractions: Sexagesimals 23
Positional Numeration 23
Sexagesimal Fractions 25
Approximations 25
Tables 26
Equations 28
Measurements: Pythagorean Triads 31
Polygonal Areas 35
Geometry as Applied Arithmetic 36
4 Hellenic Traditions 40
The Era and the Sources 40
Thales and Pythagoras 42
Numeration 52
Arithmetic and Logistic 55
Fifth-Century Athens 56
Three Classical Problems 57
Quadrature of Lunes 58
Hippias of Elis 61
Philolaus and Archytas of Tarentum 63
Incommensurability 65
Paradoxes of Zeno 67
Deductive Reasoning 70
Democritus of Abdera 72
Mathematics and the Liberal Arts 74
The Academy 74
Aristotle 88
5 Euclid of Alexandria 90
Alexandria 90
Lost Works 91
Extant Works 91
The Elements 93
6 Archimedes of Syracuse 109
The Siege of Syracuse 109
On the Equilibriums of Planes 110
On Floating Bodies 111
The Sand-Reckoner 112
Measurement of the Circle 113
On Spirals 113
Quadrature of the Parabola 115
On Conoids and Spheroids 116
On the Sphere and Cylinder 118
Book of Lemmas 120
Semiregular Solids and Trigonometry 121
The Method 122
7 Apollonius of Perge 127
Works and Tradition 127
Lost Works 128
Cycles and Epicycles 129
The Conics 130
8 Crosscurrents 142
Changing Trends 142
Eratosthenes 143
Angles and Chords 144
Ptolemy's Almagest 149
Heron of Alexandria 156
The Decline of Greek Mathematics 159
Nicomachus of Gerasa 159
Diophantus of Alexandria 160
Pappus of Alexandria 164
The End of Alexandrian Dominance 170
Proclus of Alexandria 171
Boethius 171
Athenian Fragments 172
Byzantine Mathematicians 173
9 Ancient and Medieval China 175
The Oldest Known Texts 175
The Nine Chapters 176
Rod Numerals 177
The Abacus and Decimal Fractions 178
Values of Pi 180
Thirteenth-Century Mathematics 182
10 Ancient and Medieval India 186
Early Mathematics in India 186
The Sulbasutras 187
The Siddhantas 188
Aryabhata 189
Numerals 191
Trigonometry 193
Multiplication 194
Long Division 195
Brahmagupta 197
Indeterm…
