Preface.- 1 Trigonometry.- 2 Logarithms.- 3 Complex Numbers.- 4 Infinite Series.- 5 The Calculus.- 6 Convergence.- Bibliography.- Index
Enrique A. González-Velasco is a professor of mathematics at the University of Massachusetts at Lowell. His specialty is the history of math. He has also published a textbook on Fourier analysis and boundary value problems with a historical focus.
From the reviews: "Describes the history of mathematics that gave rise to our modern concepts in calculus ... . Gonzalez-Velasco has done a marvelous job by sketching this very readable historical tale. ... not only compulsory reading for a course on the history of mathematics, but everyone teaching a calculus course should be aware of the roots and the wonderful achievements of the mathematical giants of the past centuries. They boldly went where nobody had gone before and paved the road for what we take for granted today." (A. Bultheel, The European Mathematical Society, March, 2012) "This detailed, carefully written volume is a selective history of mathematics, up to what might be considered the 'early modern period' ... with emphasis on 17th- and 18th-century advances. ... the book particularly suitable for undergraduate mathematics students, including those planning to teach in secondary schools. The volume contains an extensive bibliography with many original sources ... . A worthwhile addition to the literature. Summing Up: Highly recommended. Upper-division undergraduates through researchers/faculty." (S. J. Colley, Choice, Vol. 49 (7), March, 2012)
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