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A History of Mathematics, by Carl B. Boyer, Uta C. Merzbach
Free PDF A History of Mathematics, by Carl B. Boyer, Uta C. Merzbach
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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.
- Sales Rank: #42549 in Books
- Published on: 2011-01-11
- Original language: English
- Number of items: 1
- Dimensions: 9.25" h x 1.90" w x 6.20" l, 1.81 pounds
- Binding: Paperback
- 688 pages
Review
"the book is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it." (Zentralblatt MATH 2016) the book is an essential reference that will help you explore the incredible history of mathematics and the men and women who created it.
From the Back Cover
"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.
About the Author
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.
Most helpful customer reviews
15 of 16 people found the following review helpful.
a good perspective on the evolution of mathematics
By Michael George
This book is quite serious scholarship, so one does not encounter the romantic fantasies as for example in Bell's Men of Mathematics. It is certainly worth the effort to read to give one a flavor for the development and evolution of mathematics up through the twentieth century and a little into the twenty-first. I found that because it is serious, I will have to make some extra effort to understand some of the facets of the history addressed. Certainly, some of the topics are discussed somewhat more clearly and understandably in say Wikipedia articles. However, it is advantageous to have a large viewpoint such as given in the book. I teach math at community college and I think that it is helpful to a teacher to have this kind of perspective, even when one teaches only at high school or community college. The book inspired me to look into history more and I plan to do some more investigating. There are many interesting points that the authors bring up. I especially like the way they did not shy away from modern math, which can be pretty abstract. The areas I am interested in investigating further are areas of nineteenth century to the present. One has the impression that while math has tended to become more and more a game, like chess, for the specialist and aficionado, it has also certain elements of great interest that are not so trivial, and join with threads from the past to point into the future. One can have a great deal of difficulty separating the wheat from the chaff in the present moment in contemplating the recent events of the past, as so much of modern mathematics is dominated by fads that come and go. But the grand picture of events over hundreds and thousands of years is quite compelling. I have a basic background in graduate-level mathematics (and have passed Ph.D. quals in math), but I did have trouble understanding a fair amount of the book, especially the discussions of geometry, as my background is weak in that area.
Much of the history of mathematics is taken up with struggles to go beyond rather mundane limitations. "Modern" mathematics is appallingly recent. This is reflected in the weight attached in the discussions of the book to mathematical history that is concerned with such "tedious" details as getting to the point where modern numeration was achieved. The really exciting stuff in math is the more recent developments that have touched our lives with the wonder of mathematical creativity, and the development of modern algebra, analysis and geometry. It took a great deal of time for people to realize the possibility of non-Euclidean geometry, and yet once achieved, new developments came rapidly. I personally would have preferred the authors to have treated the very slow early development of mathematics in a more condensed way, and to have focused more on modern math. On the other hand, I have to admit I found the long history to be interesting as well. Even very simple developments such as the use of zero or negative numbers resulted from humans struggling to progress, often contrary to the dictates of common sense, and in the face of their prejudices. While this does not enlighten one terribly about the most modern mathematics, the story of this struggle is edifying and insightful.
10 of 10 people found the following review helpful.
Know Your History
By Michael Marsden
A History Of Mathematics By Ta c. Merzbach and Carl B. Boyer – forward by Isaac Asimov
John Wiley & Sons, Inc. Third Edition, 2011
ISBN: 978-0-470-52548-7, 668 pages
This is first and last a history book. The first chapter begins with the early efforts to count items and make a record of that information. The concept of counting and records of the items formed introduced a new way of thinking. Early number systems were shortly joined by spatial measurements. I found it challenging to imagine what the early number systems met and more challenging to imagine what prompted the changes through the early records of history. This is not just a history of western civilization but includes the influences of Islamic world, China and India. From the number systems the book moves to elements of arithmetic, geometry and number theory. Mathematics slowly evolves into the art and science of solving problems. But this is not a book on how to solve mathematical problems but the history of when the problems were first defined and the initial attempts to solve them. Late in the book actual solutions by early mathematicians are addressed. Again the emphasis is on the history of the men making the discoveries not the solutions. Through out my reading of the book I found I took time to try to write the problem in modern notation and then recognized the solutions I was taught as a student. The book travels across many fields in mathematics some of which I have little knowledge and thus probably did not appreciate the elements of those chapters. This did not discourage me but instead prompted me to make a short list of topics to revisit in modern textbooks next year. Every mathematician should know the history of his craft and reading this book is a fine start.
Michael Andrew Marsden – The North Idaho Ghost Writer
18 of 21 people found the following review helpful.
A must-have for any Math Major
By joatmor
This book is absolutely cram packed with fascinating information. I have a hard time putting it down. It was originally created as a textbook but I consider it a must-have for anyone interested in Mathematics. I have paid hundreds of dollars for textbooks that were not nearly as educational as this little gem. I highly recommend it.
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