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Spivak acknowledged in the preface of the second edition that the work is arguably an introduction to mathematical analysis rather than a calculus textbook. [13] Another of his well-known textbooks is Calculus on Manifolds, [14] a concise (146 pages) but rigorous and modern treatment of multivariable calculus accessible to advanced undergraduates.
The Princeton Companion to Mathematics is a book providing an extensive overview of mathematics that was published in 2008 by Princeton University Press. Edited by Timothy Gowers with associate editors June Barrow-Green and Imre Leader , it has been noted for the high caliber of its contributors.
Calculus on Manifolds is a brief monograph on the theory of vector-valued functions of several real variables (f : R n →R m) and differentiable manifolds in Euclidean space. . In addition to extending the concepts of differentiation (including the inverse and implicit function theorems) and Riemann integration (including Fubini's theorem) to functions of several variables, the book treats ...
This is a list of notable textbooks on classical mechanics and quantum mechanics arranged according to level and surnames of the authors in alphabetical order. Undergraduate [ edit ]
Ebook version, in PDF format, full text presented. The Pythagorean Theorem: A 4,000-Year History, 2007, Princeton University Press, ISBN 978-0-691-12526-8; The Facts on File Calculus Handbook (Facts on File, 2003), 2005, Checkmark Books, an encyclopedia of calculus concepts geared for high school and college students; Music by the Numbers ...
The project received financial support from Princeton University and from the National Science Foundation. [3] Shakarchi earned his Ph.D. from Princeton in 2002 [4] and moved to London to work in finance. Nonetheless he continued working on the books, even as his employer, Lehman Brothers, collapsed in 2008. [2] The first two volumes were ...
He is the author of eleven books. His book, Mathematics and Optimal Form was the first mathematics book in the Scientific American Library series. His text Vector Calculus( co-authored with Jerry Marsden) has been in print in six editions and five languages for 43 years
He is the author of several textbooks on mathematical ... Advanced Calculus, Prentice ... Princeton University Press, 1995. A Course in Abstract Harmonic ...