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The history of the calculus and its conceptual development: (The ... - Google Books Result - Feb 19, 2008 ... History of Lambda-Calculus and Combinatory logic. To appear as a chapter in Volume 5 of the Handbook of the History of Logic. ...
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Mathematics and Its History (Undergraduate Texts in Mathematics)
Customer Reviews — [1] Rating: 5 Date: 2005-02-18 Summary: An intellectually satisfying history of mathematics ... This is a brilliant book that conveys a beautiful, unified picture of mathematics. It is not an encyclopedic history, it is history for the sake of understanding mathematics. There is an idea behind every topic, every section makes a mathematical point, showing how the mathematical theories of today has grown inevitably from the natural problems studied by the masters of the past. Math history textbooks of today are often enslaved by the modern curriculum, which means that they spend lots of time on the question of ...more
[2] Rating: 5 Date: 2003-11-02 Summary: Relationship between algebra and geometry ... It is a very good book. It has presented very clearly some difficult-to-understand relationship especially the link between algebra and geometry. It is a very good balance - history, Mathmatics, biography all mixed very well together. Highly recommended. ...more
[3] Rating: 4 Date: 2000-10-02 Summary: concise and well written summary of mathematics ... Stillwell covers a lot of ground in a short undergraduate text intended to unify various mathematical disciplines. Naturally, _Mathematics_and_its_History_ begins with the early Greeks and in particular geometry (which is how mathematics was typically expressed then). The development of algebra and polynomial forms is described followed by perspective geometry. The invention of calculus and the closely related discovery of infinite series provide the backdrop for short biographies of prominent mathematicians (mostly ...more
Editorial Reviews — ... Product Description | From the reviews of the second edition: "This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equations. The fact that the topics are introduced in their historical contexts will enable students to better appreciate and understand the mathematical ideas involved...If one constructs a list of topics central to a history course, then they would...more
The Origins of Cauchy's Rigorous Calculus (Dover Books on Mathematics)
Customer Reviews — [1] Rating: 5 Date: 2008-03-29 Summary: I was always told Newton and Leibniz invented Calculus? ... At least that's what every math teacher I've ever had stated. And that is true, they did invent it. But, the really fascinating thing is: they had no idea why it worked! This was a stunning revelation to me. Often times mathematics education is presented as a laundry list of 400 years of theory and results with little motivation of how things came about or why the theorems are relevant. Maybe exceptional instructors talk about these things, I don't know. The idea that these demi-gods didn't understand why Calculus ...more
[2] Rating: 4 Date: 2007-05-25 Summary: Dry Writing, Fascinating Subject ... Grabiner details how Cauchy re-purposed and built on the work of his predecessors to help transform the calculus into the rigorous system we know today. While her writing is rather dry, and at times repetitive, The Origins of Cauchy's Rigorous Calculus provides a glimpse into a fascinating period of math history. Caution: This is a book about math, not a biography. A year of calculus is pretty much a prerequisite for reading this book. For those with less mathematical training, or an interest in the earlier history ...more
[3] Rating: 4 Date: 2007-02-16 Summary: Reference work for History and Philosophy of Science ... This is primarily a reference work for history and philosophy of science researchers, academic or amateur, with a special interest in mathematics, and in particular, the foundations of the calculus. It helps the reader to appreciate how much slow and painstaking effort was required to build modern knowledge. My main interests here are to be able to read the work of a master -- i.e. some of Cauchy's original papers translated into English, in the appendix, and to browse through the main text from time to time for enlightening ...more
Editorial Reviews — ... Product Description | This text for upper-level undergraduates and graduate students examines the events that led to a 19th-century intellectual revolution: the reinterpretation of the calculus undertaken by Augustin-Louis Cauchy and his peers. These intellectuals transformed the uses of calculus from problem-solving methods into a collection of well-defined theorems about limits, continuity, series, derivatives, and integrals. 1981 edition. ...more
The Calculus Gallery: Masterpieces from Newton to Lebesgue
Customer Reviews — [1] Rating: 5 Date: 2010-05-29 Summary: It is by Dunham ... ... ... and it is about calculus. I think no more needs to be said. Again for people interested in math - Dunham is one of the best writers. For parents of young children - read these books before you start teaching them. They will help you be better teachers. ...more
[2] Rating: 5 Date: 2010-01-04 Summary: Dunham's book is a winner! ... Some authors try to explain calculus to the literati with the hope of enlightening them a bit. They apologize at the inclusion of an equation, and wave hands like magicians. That's OK, for the innumerate. But the result is invariably like reading Julia Child's recipes and not cooking any of her meals. Not so William Dunham. The only way to appreciate the masterpiece that calculus really is, is to know your basic mathematics, and then plunge into such a book as his. This is a great book for students of mathematics. ...more
[3] Rating: 5 Date: 2008-07-23 Summary: William Dunham in his elemens!!! ... If you have read William's Dunham's " Journey through Genius ", "Euler,The Master of Us All", there is no need to add anymore praise to this book,just buy it and enjoy it!!! ...more
Editorial Reviews — ... Product Description | More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway into higher mathematics. This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late seventeenth century and continuing to Henri Lebesgue at the dawn of the twentieth--mathematicians whose achievements are comparable to those of Bach in music or Shakespeare...more
Calculus: Webster's Timeline History, 387 BC - 2001
Editorial Reviews — ... Product Description | Webster's bibliographic and event-based timelines are comprehensive in scope, covering virtually all topics, geographic locations and people. They do so from a linguistic point of view, and in the case of this book, the focus is on "Calculus," including when used in literature (e.g. all authors that might have Calculus in their name). As such, this book represents the largest compilation of timeline events associated with Calculus when it is used in proper noun form. Webster's timelines...more
Fitting Linear Relationships: A History of the Calculus of Observations 1750-1900 (Springer Series in Statistics)
Editorial Reviews — ... Product Description | This book describes the development of what we would now regard as a class of statistical fitting procedures between 1750 and 1900. The book contains detailed algebraic descriptions of the fitting of linear relationships by the method of least squares and the closely related least absolute deviations and minimax absolute deviations procedures. The prerequisite is a basic course in mathematical statistics. The primary audience for this book will be statisticians concerned with the fitting...more
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