Wally Spivak
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Mar 22, 2020 · Specially try most of the exercises from that book. This book is a little bit more theoretical than Apostol's. Spivak also takes the Darboux integral as integration theory, but in the Appendix of Riemann sums, he proves (but never mention it) that Riemann and Darboux integrals are the same (at least for continuous functions).
Sep 15, 2022 · Spivak, Chapter 20, Problem 11: Using Taylor's Theorem Instead of L'Hôpital´s Rule to compute limit. 1 Spivak, Ch. 20, Problem 11e: Is the solution manual incorrect in computing this limit using Taylor's Theorem?
Feb 23, 2021 · Problem 13 in Spivak's chapter 2 Prologue is to prove $\sqrt{3}$, $\sqrt{5}$, and $\sqrt{6}$ are irrational with the hint that to treat $\sqrt{3}$ you can use the fact that every integer can be written in the form $3n$, $3n+1$, or $3n+2$. Let's just consider the $\sqrt{3}$ case, because the other two are analogous. The question here is simply ...
Jun 22, 2011 · Spivak is an elegant little book with good exercises but years ago I pooped out I think in the midst of his characteristically terse treatment of differential forms, wedge products and all that. Munkres' "Analysis on Manifolds," on the other hand, covers much of the same material but in a much more leisurely, chatty and well-motivated way, with lots of examples. And with a much more friendly ...
Oct 9, 2022 · The following is an interesting problem from Chapter 20, entitled "Approximation by Polynomial Functions", of Spivak's Calculus. My question is about how to interpret the problem and its solution in a way that provides some intuition and insight. In particular, in deriving Taylor's theorem's expression for the remainder term, a particular ...
Aug 25, 2023 · Spivak, Calculus 3rd edition. chapter 19. problem 42 c. Ask Question Asked 1 year, 2 months ago.
Feb 28, 2022 · Spivak, Ch. 20, Problem 11e: Is the solution manual incorrect in computing this limit using Taylor's Theorem? 1 Spivak, Ch. 20, Prob. *17a: Is the solution manual incorrect?
May 31, 2019 · Spivak Calculus Chapter 3 Question 6. 1. Riemann Sum Integration Problem? 0. Absolute Value and Systems of Inequalities (HW Question) 3. Spivak, Cha ...
Jul 8, 2014 · I just realized though, I don't really understand what Rudin has that Spivak doesn't. Calculus formally defines limits, convergence, derivatives, integrals and everything. How exactly does Rudin (and real analysis in general) differ? I previously thought they differed roughly by rigor, but Spivak has covered what I previously thought was real ...
Oct 14, 2022 · Spivak's book is intended for university undergraduates specialising in mathematics. I doubt whether one in a million of these undergraduates would have no idea of trigonometry and have never heard that $\pi$ is the circumference of a circle, something which is taught to people around the age of ten or twelve. It's very difficult to understand where this notion comes from that Spivak wrote a ...
