eBook ISBN:  9781470470593 
Product Code:  CHEL/303.E 
List Price:  $65.00 
MAA Member Price:  $58.50 
AMS Member Price:  $58.50 
eBook ISBN:  9781470470593 
Product Code:  CHEL/303.E 
List Price:  $65.00 
MAA Member Price:  $58.50 
AMS Member Price:  $58.50 

Book DetailsAMS Chelsea PublishingVolume: 303; 1991; 524 ppMSC: Primary 01
Originally issued in 1893, this popular Fifth Edition (1991) covers the period from antiquity to the close of World War I, with major emphasis on advanced mathematics and, in particular, the advanced mathematics of the nineteenth and early twentieth centuries. In one concise volume this unique book presents an interesting and reliable account of mathematics history for those who cannot devote themselves to an intensive study. The book is a must for personal and departmental libraries alike.
Cajori has mastered the art of incorporating an enormous amount of specific detail into a smoothflowing narrative. The Index—for example—contains not just the 300 to 400 names one would expect to find, but over 1,600. And, for example, one will not only find John Pell, but will learn who he was and some specifics of what he did (and that the Pell equation was named erroneously after him). In addition, one will come across Anna J. Pell and learn of her work on biorthogonal systems; one will find not only H. Lebesgue but the not unimportant (even if not major) V.A. Lebesgue. Of the Bernoullis one will find not three or four but all eight. One will find R. Sturm as well as C. Sturm; M. Ricci as well as G. Ricci; V. Riccati as well as J.F. Riccati; Wolfgang Bolyai as well as J. Bolyai; the mathematician Martin Ohm as well as the physicist G.S. Ohm; M. Riesz as well as F. Riesz; H.G. Grassmann as well as H. Grassmann; H.P. Babbage who continued the work of his father C. Babbage; R. Fuchs as well as the more famous L. Fuchs; A. Quetelet as well as L.A.J. Quetelet; P.M. Hahn and Hans Hahn; E. Blaschke and W. Blaschke; J. Picard as well as the more famous C.E. Picard; B. Pascal (of course) and also Ernesto Pascal and Etienne Pascal; and the historically important V.J. Bouniakovski and W.A. Steklov, seldom mentioned at the time outside the Soviet literature.

Table of Contents

Front Cover

Preafce to the Third Edition

Preface to the Fourth Edition

Preface to the Fifth Edition

Preface to the Second Edition

Table of Contents

Introduction

The Babylonians

The Egyptians

The Greeks

Greek Geometry

The Ionic School

The School of Pythagoras

The Sophist School

The Platonic School

The First Alexandrian School

The Second Alexandrian School

Greek Arithmetic and Algebra

The Romans

The Maya

The Chinese

The Japanese

The Hindus

The Arabs

Europe During the Middle Ages

Introduction of Romam Mathematics

Translation of Arabic manuscripts

The First Awakening and its Sequel

Europe During the Sixteenth, Seventeenth and Eighteenth Centuries

The Renaissance

Vieta to Descartes

Descartes to Newton

Newton to Euler

Euler, Lagrange, and Laplace

The Nineteenth and Early Twentieth Centuries

Introduction

Definitions of Mathematics

Synthetic Geometry

Elementary Geometry of the Triangle and Circle

Linkmotion

Parallel Lines, Noneuclidean Geometry on n Dimensions

Analytic Geometry

Analysis Situs

Intrinsic Coordinates

Definition of a Curve

Fundamental Postulates

Geometric Models

Algebra

Theory of Equations and Theory of Groups

Solution of Numerical Equations

Magic Squares and Combinatory Analysis

Analysis

Calculus of Variations

Convergence of Series

Probability and Statistics

Differential Equations. Difference Equations

Integral Equations, Integrodifferential Equations, General Analysis, Functional Calculus

Theories of Irrationals and Theory of Aggregates

Mathematical Logic

Theory of Functions

General Theory of Functions

Uniformization

Theory of Numbers

Fermat's "Last Theorem," waring's Theorem

Other Researches. Number Fields

Transcendental Numbers. the Infinite

Applied Mathematics. Celestial Mechanics

Problem of Three Bodies

General Mechanics

Fluid Motion

Sound. Elasticity

Light, Electricity, Heat, Potential

Relativity

Nomography

Mathematical Tables

Calculating Machines, Planimeters, Integraphs

Editor's Notes

Index

Back Cover


Reviews

This title belongs in every math library.
ESTREAMS 
This book is an astonishing synthesis (astonishing by the author's exact judgement of the historical facts to be left aside, yet without presenting an incomplete version) of the essential contributions brought by dedicated minds—starting from Antiquity up to the end of World War I—to the settlement and development of what is now the powerful, indubitable and marvelous science of mathematics. Thus, the first chapters deal with the development of mathematics in the Babylonian, Egyptian, Greek (the Ionic school, the school of Pythagoras, the Sophist, Platonic and Alexandrian schools), Roman, Chinese, Maya, Japanese, Hindus and Arabian antic societies—a fascinating survey of the main moments of mankind's mathematical inspiration. There follow two chapters “Europe during the Middle Ages” and “Europe during the Sixteenth, Seventeenth and Eighteenth centuries”, opening the way to the most dense chapter of the book: the nineteenth and twentieth centuries, divided into the following subtitles: synthetic geometry, analytic geometry, algebra, analysis, theory of functions, theory of numbers, applied mathematics. It is an allinclusive book, an impressively human approach of the conjugated efforts made by long ranks of generations for the rounding off of a faultless science, a book with a perfectly chosen motto: “No subject loses more than mathematics by any attempt to dissociate it from its history.”
Zentralblatt MATH


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Originally issued in 1893, this popular Fifth Edition (1991) covers the period from antiquity to the close of World War I, with major emphasis on advanced mathematics and, in particular, the advanced mathematics of the nineteenth and early twentieth centuries. In one concise volume this unique book presents an interesting and reliable account of mathematics history for those who cannot devote themselves to an intensive study. The book is a must for personal and departmental libraries alike.
Cajori has mastered the art of incorporating an enormous amount of specific detail into a smoothflowing narrative. The Index—for example—contains not just the 300 to 400 names one would expect to find, but over 1,600. And, for example, one will not only find John Pell, but will learn who he was and some specifics of what he did (and that the Pell equation was named erroneously after him). In addition, one will come across Anna J. Pell and learn of her work on biorthogonal systems; one will find not only H. Lebesgue but the not unimportant (even if not major) V.A. Lebesgue. Of the Bernoullis one will find not three or four but all eight. One will find R. Sturm as well as C. Sturm; M. Ricci as well as G. Ricci; V. Riccati as well as J.F. Riccati; Wolfgang Bolyai as well as J. Bolyai; the mathematician Martin Ohm as well as the physicist G.S. Ohm; M. Riesz as well as F. Riesz; H.G. Grassmann as well as H. Grassmann; H.P. Babbage who continued the work of his father C. Babbage; R. Fuchs as well as the more famous L. Fuchs; A. Quetelet as well as L.A.J. Quetelet; P.M. Hahn and Hans Hahn; E. Blaschke and W. Blaschke; J. Picard as well as the more famous C.E. Picard; B. Pascal (of course) and also Ernesto Pascal and Etienne Pascal; and the historically important V.J. Bouniakovski and W.A. Steklov, seldom mentioned at the time outside the Soviet literature.

Front Cover

Preafce to the Third Edition

Preface to the Fourth Edition

Preface to the Fifth Edition

Preface to the Second Edition

Table of Contents

Introduction

The Babylonians

The Egyptians

The Greeks

Greek Geometry

The Ionic School

The School of Pythagoras

The Sophist School

The Platonic School

The First Alexandrian School

The Second Alexandrian School

Greek Arithmetic and Algebra

The Romans

The Maya

The Chinese

The Japanese

The Hindus

The Arabs

Europe During the Middle Ages

Introduction of Romam Mathematics

Translation of Arabic manuscripts

The First Awakening and its Sequel

Europe During the Sixteenth, Seventeenth and Eighteenth Centuries

The Renaissance

Vieta to Descartes

Descartes to Newton

Newton to Euler

Euler, Lagrange, and Laplace

The Nineteenth and Early Twentieth Centuries

Introduction

Definitions of Mathematics

Synthetic Geometry

Elementary Geometry of the Triangle and Circle

Linkmotion

Parallel Lines, Noneuclidean Geometry on n Dimensions

Analytic Geometry

Analysis Situs

Intrinsic Coordinates

Definition of a Curve

Fundamental Postulates

Geometric Models

Algebra

Theory of Equations and Theory of Groups

Solution of Numerical Equations

Magic Squares and Combinatory Analysis

Analysis

Calculus of Variations

Convergence of Series

Probability and Statistics

Differential Equations. Difference Equations

Integral Equations, Integrodifferential Equations, General Analysis, Functional Calculus

Theories of Irrationals and Theory of Aggregates

Mathematical Logic

Theory of Functions

General Theory of Functions

Uniformization

Theory of Numbers

Fermat's "Last Theorem," waring's Theorem

Other Researches. Number Fields

Transcendental Numbers. the Infinite

Applied Mathematics. Celestial Mechanics

Problem of Three Bodies

General Mechanics

Fluid Motion

Sound. Elasticity

Light, Electricity, Heat, Potential

Relativity

Nomography

Mathematical Tables

Calculating Machines, Planimeters, Integraphs

Editor's Notes

Index

Back Cover

This title belongs in every math library.
ESTREAMS 
This book is an astonishing synthesis (astonishing by the author's exact judgement of the historical facts to be left aside, yet without presenting an incomplete version) of the essential contributions brought by dedicated minds—starting from Antiquity up to the end of World War I—to the settlement and development of what is now the powerful, indubitable and marvelous science of mathematics. Thus, the first chapters deal with the development of mathematics in the Babylonian, Egyptian, Greek (the Ionic school, the school of Pythagoras, the Sophist, Platonic and Alexandrian schools), Roman, Chinese, Maya, Japanese, Hindus and Arabian antic societies—a fascinating survey of the main moments of mankind's mathematical inspiration. There follow two chapters “Europe during the Middle Ages” and “Europe during the Sixteenth, Seventeenth and Eighteenth centuries”, opening the way to the most dense chapter of the book: the nineteenth and twentieth centuries, divided into the following subtitles: synthetic geometry, analytic geometry, algebra, analysis, theory of functions, theory of numbers, applied mathematics. It is an allinclusive book, an impressively human approach of the conjugated efforts made by long ranks of generations for the rounding off of a faultless science, a book with a perfectly chosen motto: “No subject loses more than mathematics by any attempt to dissociate it from its history.”
Zentralblatt MATH