Podcasts about geometric series

Joel David Hamkins is the O'Hara Professor of Philosophy and Mathematics at the University of Notre Dame, where he recently moved from the University of Oxford. Joel is one of the leading set theorists and philosophers of mathematics in the world, and he and Robinson discuss a lot—Hilbert's Hotel, the continuum hypothesis, the set-theoretic multiverse, and even Joel's dapper hat collection—but the main subject is his upcoming book, The Book of the Infinite, which is an accessible text on paradoxes and infinity. Joel has made the novel move of serializing it on Substack, so you can participate in its creation by checking out the link below, and otherwise see what he's thinking about and working on through Twitter, MathOverflow, and his blog. The conversation grows technical from 1:10:26-2:00:25, but for those to whom that doesn't appeal there are timestamps to navigate around this portion of the show. Substack: https://joeldavidhamkins.substack.com Twitter: https://twitter.com/JDHamkins MathOverflow: https://mathoverflow.net/users/1946/joel-david-hamkins Joel's Blog: http://jdh.hamkins.org OUTLINE: 00:00 Introduction 2:52 Is Joel a Mathematician or a Philosopher? 6:13 The Philosophical Influence of Hugh Woodin 10:29 The Intersection of Set Theory and Philosophy of Math 16:29 Serializing the Book of the Infinite 20:05 Zeno of Elea, Continuity, and Geometric Series 39:39 Infinite Games and the Chocolatier 53:35 Hilbert's Hotel 1:10:26 Cantor's Theorem 1:31:37 The Continuum Hypothesis 1:43:02 The Set-Theoretic Multiverse 2:00:25 Berry's Paradox and Large Numbers 2:16:15 Skolem's Paradox and Indescribable Numbers 2:28:41 Pascal's Wager and Reasoning Around Remote Events 2:49:35 MathOverflow 3:04:40 Joel's Impeccable Fashion Sense Linktree: https://linktr.ee/robinsonerhardt Twitter: https://twitter.com/robinsonerhardt Instagram: https://www.instagram.com/robinsonerhardt/ Twitch (Robinson Eats): https://www.twitch.tv/robinsonerhardt YouTube (Robinson Eats): youtube.com/@robinsoneats TikTok: https://www.tiktok.com/@robinsonerhardt --- Support this podcast: https://podcasters.spotify.com/pod/show/robinson-erhardt/support

Jennifer Klemp's Geometric Series is inspired by the artist's own internal inner searching and manifestation. Her recent work taps into the spiritual and introspective nature found within one's self. Each piece is created laboriously, fusing traditional methods with abstract undertones. Attention to color theory is intentional, with bright punches of color found throughout. Website https://www.jenniferklemp.com/ Instagram https://www.instagram.com/jenniferklempartist/ ---------------------------------------------------------------------------------------- *** Subscribe to my YouTube Channel for more Artist Interviews: *** https://www.youtube.com/c/mattpiersonart To Purchase Art Originals and Art Prints check out my website below: https://www.mattpiersonart.com Sign up for my Newsletter for exclusive deals: https://www.mattpiersonart.com/newsletter-sign-up Provide Support on Patreon: https://www.patreon.com/mattpiersonart Buy Me A Coffee: https://www.buymeacoffee.com/MattPiersonArt Follow me on all the platforms: https://www.facebook.com/MattPiersonArt https://www.instagram.com/mattpiersonart https://www.twitter.com/MattPiersonArt https://linktr.ee/MattPiersonArt --- This episode is sponsored by · Anchor: The easiest way to make a podcast. https://anchor.fm/app

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We explore the error bound for Taylor polynomials.

We explore creating Taylor polynomials. We also center them at other values and create new polynomials from given ones.

We explore creating Taylor polynomials. We also center them at other values and create new polynomials from given ones.

We explore geometric series. We create new power series from known ones by differentiation and integration. The power series for e^x is explored. We also write pi as an infinite series produced by integrating term by term of a problem producing an inverse tangent.

Course MAC 2147 Geometric Series and Mathematical Induction

We introduce geometric series involving a combination of partial fractions derived from a quadratic denominator. It is shown how to develop series which converge for any value of x by treating the partial fractions in different ways before expansion.

We introduce geometric series in which the variable is a quantity other than x or the constant is not 1. Convergence is discussed and we show how to get a series that converges when the absolute value of x is greater than 1 or some other number.

We introduce the basic geometric series in powers of x, investigate the partial sums and demonstrate that the series sums to 1/(1-x) for x between -1 and 1.

AP Calculus

AP Calculus BC

AP Calculus BC

AP Calculus BC

AP Calculus BC