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The Calculus Gallery: Masterpieces from Newton to Lebesgue
Customer Reviews — [1] 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
[2] 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
[3] Rating: 5 Date: 2008-06-23 Summary: Calculus is Good but Hard! ... Well worth the effort! The beginning is easy (but very informative) if you've had college level differential and integral calculus. Then there's Cantor and Lebesgue!! Tough going, but very satisfying! Pete ...more
[4] Rating: 5 Date: 2007-10-22 Summary: Another masterpeice by William Dunham ... If you enjoyed "Journey through Genius" by the same author, you will also enjoy the present volume. It requires more math knowledge (at least a working knowledge of calculus), but the level is aimed at a bright high school AP student, or a college undergraduate I would recommend it for even serious mathematicians who would like to know more about how the present state of knowledge of analysis came about. I would especially recommend it for teachers and students of calculus. Too often, ideas which took literally centuries ...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
Differential and integral calculus
Calculus in occupations [a poster series]
Isaac Newton: Reluctant Genius
Editorial Reviews — ... Product Description | A biography of the seventeenth-century English scientist who developed the theory of gravity, discovered the secret of light and color, and formulated the system of calculus....more
Newton Methods for Nonlinear Problems
Editorial Reviews — ... Product Description | This book deals with the efficient numerical solution of challenging nonlinear problems in science and engineering, both in finite dimension (algebraic systems) and in infinite dimension (ordinary and partial differential equations). Its focus is on local and global Newton methods for direct problems or Gauss-Newton methods for inverse problems. The term 'affine invariance' means that the presented algorithms and their convergence analysis are invariant under one out of four subclasses...more
Calculus without Tears, Vol. 2: Newton's Apple
Editorial Reviews — ... Product Description | CWT is a 3 volume series: Vol. 1 - Constant Velocity Motion, Vol. 2 - Newton's Apple, and Vol. 3 - Nature's Favorite Functions. In Vol. 2 covers the physics of a falling object and the calculus necessary to determine its trajectory. In 1680 Isaac Newton watched as an apple fell from a tree, and went on to discover the Law of Gravity and the Laws of Motion. He applied these laws to the analysis of a falling object and wrote a differential equation that characterizes the object's motion....more
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