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1. The History of the Calculus and Its Conceptual Development by Carl B. Boyer | |
Paperback: 368
Pages
(1959-06-01)
list price: US$14.95 -- used & new: US$8.75 (price subject to change: see help) Asin: 0486605094 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (12)
Propaganda history
A little technical on the historical side...
More history, less real mathematics?
Mildly instructive
Fascinating material, questionable presentation "At this point it may not be undesirable to discuss these ideas, with reference both to the intuitions and speculations from which they were derived and to their final rigorous formulation.This may serve to bring vividly to mind the precise character of the contemporary conceptions of the derivative and the integral, and thus to make unambiguously clear the terminus ad quem of the whole development." I admit that back in 1939, when this book was originally written, it was common for academics to express themselves in that sort of haughty, impenetrable prose.But that doesn't make it any easier to read today, and it doesn't really provide those people with an excuse for having written that way.Didn't it occur to them that their writing might be read by real human beings?There are plenty of mathematical writers today who can write in real English without sacrificing rigor or depth. Secondly, I recommend that everyone read the review by the reader from Phoenix (February 7, 2001).In particular, I agree with the criticism that this book takes a backwards approach to the history of Calculus, interpreting each historical idea and contribution in terms of the way we think of those ideas today.As Boyer certainly should have known, the proper way to relate the history of ideas is to place each idea in the context of its own time.Instead, he writes this book as if each ancient mathematician had tried and failed to reach the level of understanding which we superior moderns are now gifted with.I think it is important for a reader to read this book with this defect clearly in mind. Having got those two criticisms off my chest, however, I have to admit that there is a wealth of interesting material in this book, and I don't know of any other place where it is all gathered together in one volume.If you want a detailed, in-depth account of how mathematicians and philosophers (they used to be the same people!) eventually evolved the ideas and methods of calculus, then this book is probably the best place to find it. (I just wish the publisher would hire someone to translate it into real English!) ... Read more |
2. The Calculus Wars: Newton, Leibniz, and the Greatest Mathematical Clash of All Time by Jason Socrates Bardi | |
Paperback: 304
Pages
(2007-04-26)
list price: US$16.95 -- used & new: US$6.38 (price subject to change: see help) Asin: 1560259922 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description This vibrant and gripping history ultimately exposes how these twin mathematical giants (Newton, Leibniz) were proud, brilliant, at times mad, and in the end completely human. Customer Reviews (16)
not good....
Please avoid this pomposity, at all costs!
Just okay, borrow from library
Heavy on Biography, Light on the Origins of Calculus
Proofreading Errors Are Too Distracting |
3. A History of the Calculus of Variations in the Eighteenth Century (Ams Chelsea Publishing) by Robert Woodhouse | |
Hardcover: 154
Pages
(2004-04-13)
list price: US$30.00 -- used & new: US$27.50 (price subject to change: see help) Asin: 0821836471 Canada | United Kingdom | Germany | France | Japan | |
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4. A History of the Calculus of Variations from the 17th through the 19th Century (Studies in the History of Mathematics and Physical Sciences) by Herman. H. Goldstine | |
Hardcover: 410
Pages
(1980-12-16)
list price: US$98.00 Isbn: 0387905219 Canada | United Kingdom | Germany | France | Japan | |
5. The Calculus Gallery: Masterpieces from Newton to Lebesgue by William Dunham | |
Paperback: 256
Pages
(2008-07-01)
list price: US$20.95 -- used & new: US$15.22 (price subject to change: see help) Asin: 0691136262 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (14)
It is by Dunham ...
Dunham's book is a winner!
William Dunham in his elemens!!!
Calculus is Good but Hard!
Another masterpeice by William Dunham |
6. The Historical Development of the Calculus (Springer Study Edition) (Volume 0) by C.H.Jr. Edwards | |
Paperback: 368
Pages
(1994-06-24)
list price: US$89.95 -- used & new: US$55.74 (price subject to change: see help) Asin: 0387943137 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
Useful resource, but dry and incomplete |
7. The Higher Calculus: A History of Real and Complex Analysis from Euler to Weierstrass by Umberto Bottazini | |
Hardcover: 332
Pages
(1986-09-24)
list price: US$115.00 -- used & new: US$83.20 (price subject to change: see help) Asin: 0387963022 Canada | United Kingdom | Germany | France | Japan | |
8. Fitting Linear Relationships: A History of the Calculus of Observations 1750-1900 (Springer Series in Statistics) by R.W. Farebrother | |
Hardcover: 292
Pages
(1998-12-14)
list price: US$109.00 -- used & new: US$68.99 (price subject to change: see help) Asin: 0387985980 Canada | United Kingdom | Germany | France | Japan | |
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9. Calculus: Webster's Timeline History, 387 BC - 2001 by Icon Group International | |
Paperback: 304
Pages
(2009-07-08)
list price: US$28.95 -- used & new: US$28.95 (price subject to change: see help) Asin: 0546943918 Canada | United Kingdom | Germany | France | Japan | |
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10. A History of the Progress of Calculus of Variations During the Nineteenth Century by Isaac Todhunter | |
Paperback: 574
Pages
(2010-01-12)
list price: US$43.75 -- used & new: US$24.29 (price subject to change: see help) Asin: 1142376532 Canada | United Kingdom | Germany | France | Japan | |
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11. CALCULUS AS ALGEBRA (Harvard Dissertations in the History of Science) by Grabiner | |
Hardcover: 247
Pages
(1990-11-01)
list price: US$83.00 Isbn: 0824074483 Canada | United Kingdom | Germany | France | Japan | |
12. Calculus: Webster's Timeline History, 2002 - 2007 by Icon Group International | |
Paperback: 58
Pages
(2009-07-08)
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13. The History Of The Calculus Of Variations During The Nineteenth Century (1861) by I. Todhunter | |
Hardcover: 548
Pages
(2008-06-02)
list price: US$57.95 -- used & new: US$40.05 (price subject to change: see help) Asin: 1436571995 Canada | United Kingdom | Germany | France | Japan | |
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14. A history of the progress of the calculus of variations during the nineteenth century by I 1820-1884 Todhunter | |
Paperback: 580
Pages
(2010-09-04)
list price: US$43.75 -- used & new: US$31.51 (price subject to change: see help) Asin: 117836593X Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Accurate and complete, this classic volume surveys a century of progress in the calculus of variations. Surveys encompass the works of Lagrange, Lacroix, Dirksen, Ohm, Gauss, Poisson, Delaunay, Cauchy, and many other significant mathematicians and conclude with a brief history of the theory of the conditions of integrability. 1861 edition. |
15. Basic Calculus: From Archimedes to Newton to its Role in Science by Alexander J. Hahn | |
Hardcover: 546
Pages
(1998-07-17)
list price: US$89.95 Isbn: 0387946063 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (13)
Severely lacking in practicality...
A Website for Hahn's Basic Calculus
A Wonderful Introduction to Calculus The focus of this book is not to present calculus as a theory, a thing which most students are simply not prepared for at this level. Rather it is to present calculus as the pragmatic development of methods to solve certain classes of problems. In this regard it does a fantastic job. Along the way the students's algebraic, geometric, and trigonometric skills are all tested and firmed up. The notion of the limit, such a mystery to most freshmen (and, truth-be-told, to many upper-level undergrads) is given a strong intuitive thrust right from the beginning. If you want more problems, get the Schaum's outline book and read them side-by-side.
My students enjoy "The Story of Calculus". After reading the text, the reader will start to see calculus as a gift by our ancestors that helps us to analyze practical daily problems: calculus as a culture to be passed on to the next generation. Firstly, as the author says, "this text could as well have the title The Story of Calculus." As we read it, we find ourselves reliving history with the great persons like Archimedes, Descartes, Leibniz and Newton. We feel the activity and wisdom of the characters close-up, and we even experience their joys and sorrows as if they were our own. In a way, this book is a historical novel. It shows what calculus looks like as a critical tool that has helped to clear up the mysteries of the universe. Secondly, "the purpose of this text is to demonstrate its broad and formidable informative power." As the author explains, calculus enables us to designing telescopes, to read nuclear clocks, to design suspension bridges, and to understand the interior ballistics of rifles, the rocket equation, gravity, and the expanding universe. Economic subjects, such as banking, CPI, market mechanisms, cost analysis are also covered with full explanations. Books with such range and depth are rare indeed. It is easy to understand why the author received an award for teaching excellence. Of course, "the emphasis is always on the careful development of the mathematics and information that it provides", and most of the topics of first-year calculus courses (including differential equations) are covered (but partial differentials and double/triple integrals are not). The exercise section of each chapter contains advanced explanations of historical, scientific, and mathematical topics, and is organically integrated with the text. The total number of the problems in all the 15 chapters is close to 700. With its many figures and illustrations, as well as full derivations of the equations, this text is also suitable as a supplementary or a self-study manual. I strongly recommend Basic Calculus to those who have doubts about "the usual math training" which sometimes makes us feel like machines (not humans), as a rare and engaging view of mathematics from a different angle. I have found the contents of Hahn's textbook ideal for my students in general physics and calculus courses at Hosei University, Tokyo, and I am now completing a translation of this book into Japanese in collaboration with my colleague Professor Ichimura.
Basic Calculus Because one of the distinguishing features of Basic Calculus fromArchimedes to Newton to its Role in Science is its historical dimension,something should be said about the criticism of one reviewer that the bookoversimplifies the history by using modern notation.Yes, Hahn does tidythings up.(Very nicely, I might add.) But what else can anyone really do? As Hahn notes, Leibniz's cryptic first work on calculus - Nova methoduspro maximis et minimis, itemque tangentibus...calculi genus - bewildered evenhis friends, the brothers Bernoulli.These famous mathematicians foundLeibniz's article "an enigma rather than an explication."Hahn could tryto unriddle the Nova methodus for us, explaining in detail all the fuzzyconcepts and strange notation that baffled the Bernoullis.But that hardlyseems the thing to do in a basic calculus book.Better to do just whatHahn does - seize on the essential ideas and use everything now at amathematician's command to bring them into a clear light.Hahn has anexcellent sense of just how far to go.The result is a truly extraordinarybook that will amply reward readers looking for something special. ... Read more |
16. An Introduction to the History of Algebra: Solving Equations from Mesopotamian Times to the Renaissance (Mathematical World) by Jacques Sesiano | |
Paperback: 174
Pages
(2009-07-09)
list price: US$35.00 -- used & new: US$32.05 (price subject to change: see help) Asin: 0821844733 Canada | United Kingdom | Germany | France | Japan | |
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17. The Saga of Mathematics: A Brief History by Marty Lewinter, William Widulski | |
Paperback: 302
Pages
(2001-09-22)
list price: US$48.20 -- used & new: US$43.45 (price subject to change: see help) Asin: 0130340790 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (5)
I loved Dr. LeWinter's class, and I love his book
easy read, but be wary of the "history" of civilizations
I finally understand math
An Excellent Book!!!!
math affects everything! |
18. A History of the Progress of Calculus of Variations During the Nineteenth Century by Isaac Todhunter | |
Paperback: 574
Pages
(2010-03-19)
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19. A History of the Calculus of Variations (Classic Reprint) by I. Todhunter | |
Paperback: 576
Pages
(2010-03-12)
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20. Practical treatise on the differential and integral calculus, with some of its applications to mechanics and astronomy. By William G. Peck. by Michigan Historical Reprint Series | |
Paperback: 244
Pages
(2005-12-20)
list price: US$20.99 -- used & new: US$15.52 (price subject to change: see help) Asin: 1425520774 Canada | United Kingdom | Germany | France | Japan | |
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