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How Mathematics Happened by
Call Number: QA 22.R86 2007
"A comprehensive evolution of the history of mathematics that discusses how ancient civilizations understood numbers and used them."
Includes mathematical knowledge in the major civilizations, such as Egyptian, Mesopotamian, Persian, Mayan, and others.
The Math Book by
Call Number: QA 21.P53 2009
"This book covers 250 milestones in mathematical history, beginning millions of years ago with ancient "ant odometers" and moving through time to our modern-day quest for new dimensions."
Dates: 600 BC to 400 BC. Because of the foundational role of Greek mathematics, especially geometry, for all subsequent discoveries and developments, this is one of the most prominent fields of research, including the development of the axiomatic method, proof procedures, irrational numbers, and more.
Leonardo Pisano (Fibonacci) by
Call Number: QA32 .F4813 1987
This text is a gem in the mathematical literature and one of the most important mathematical treatises written in the Middle Ages." - Book Jacket
Dates:400 to 1400. A comparatively lesser field somewhat reflecting the decline of mathematics in the West before its resurgence in the work of such figures as Leonardo Pisano and the spread of the Hindu-Arabic numerical notations.
The Measure of Reality by
Call Number: D202 .C76 1997
This book presents the epochal shift from qualitative to quantitative perception in Western Europe during the late Middle Ages and Renaissance. This shift made modern science, technology, business practice, and bureaucracy possible. It affected not only the obvious - such as measurements of time and space and mathematical technique - but, equally and simultaneously, music and painting, thus proving that the shift was even more profound than once thought." -
The Invention of Infinity: Mathematics and Art in the Renaissance by
Call Number: N 7430.5.F52 1997
"The story brings together the histories of art and mathematics and shows how the craftsmen's discoveries changed learned mathematics, taking it beyond the admired achievements of the Ancient Greeks. Infinity at last acquired a precise mathematical meaning. The journey takes us through consideration of some of the world's most renowned paintings, and lively accounts of the mathematical techniques and discoveries of the time."
Dates: 1400 to 1600. This period witnessed crucial development beyond the scope of Greek mathematics: the growth of algebra, including the first solutions to cubic and quartic equations, the early use of negative and imaginary numbers, trigonometric formulae, and more.
Eighteenth Century Mathematics
Euler: The Master of Us All by
Call Number: QA 29.E8E78 1999
"Dunham provides a brief overview of Euler's life and delves into the conceptualization and proofs behind his contributions to mathematics, including Euler's seminal work Opera Omnia."
"Leonhard Euler, one of the greatest and most prolific mathematicians of all time, dominates this century. This period's central themes include the development of infinitesimal analysis and its notations, power series, the introduction of the concept of function and the early development of number theory." - Linda Hall Library
Nineteenth Century Mathematics
Among many other developments, this century saw the creation of non-Euclidean geometries, of projective and Riemannian geometries, and set theory and mathematical logic. It also witnessed the rapid growth of number theory, group theory and topology (analysis situs).
Twentieth Century Mathematics
The Mathematical Century - The 30 Greatest Problems of the Last 100 Years by
Call Number: QA26 .O3513 2004
Publication Date: 2004-03-08
"The twentieth century was a time of unprecedented development in mathematics, as well as in all sciences: more theorems were proved and results found in a hundred years than in all of previous history. In The Mathematical Century, Piergiorgio Odifreddi distills this unwieldy mass of knowledge into a fascinating and authoritative overview of the subject. He concentrates on thirty highlights of pure and applied mathematics. Each tells the story of an exciting problem, from its historical origins to its modern solution, in lively prose free of technical details." - Book Jacket
The extreme level of abstraction and generality that characterizes contemporary mathematics renders much of the enormous wealth of this period inaccessible to historians who are not mathematicians themselves. Among the highlights of the past century are the following ones, with implications that are beginning to be felt in physics, cosmology and philosophy: Category theory, topos theory, algebraic geometry and cohomology theories.
Mathematics: The New Golden Age by
Call Number: QA93 .D46 1999
This text "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...[and] he leads the reader into the heart of the most interesting mathematical perplexities - from the biggest known prime number to the Shimura-Taniyama conjecture for Fermat's Last Theorem." - Book Jacket