An Introduction to Complex Function Theory (Undergraduate Texts in Mathematics) by Bruce P. Palka (PDF)
Author: Bruce P. Palka
File Type: PDF
Download at https://sci-books.com/an-introduction-to-complex-function-theory-undergraduate-texts-in-mathematics-1461269679/
#Calculus, #BruceP.Palka
#calculus
After 50 years of "progress," proof assistants are still just glorified calculators for people who think typing "Isabelle Coq" makes them sound smart. 🤓🔧 It's the same old story of academia's perpetual quest to turn #math into a spectator sport—except this game has fewer fans than a #calculus lecture. 🥱📉
https://lawrencecpaulson.github.io//2025/12/05/History_of_Proof_Assistants.html #proofassistants #academia #humor #IsabelleCoq #spectatorSport #HackerNews #ngated
Advanced Calculus (Dover Books on Mathematics) by H.K Nickerson (PDF)
Author: H.K Nickerson
File Type: PDF
Download at https://sci-books.com/advanced-calculus-dover-books-on-mathematics-0486480909/
#Calculus, #H.KNickerson
Calculus of residues, (Tutorial text) by Dragoslav S MitrinovicÌ (PDF)
Author: Dragoslav S MitrinovicÌ
File Type: PDF
Download at https://sci-books.com/calculus-of-residues-tutorial-text-b0006bnjyc/
#Calculus, #DragoslavSMitrinovicÌ
#QuizOfTheDay: #Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change. The calculus controversy was an argument between two famous mathematicians about who invented Calculus.
One of them was Isaac Newton. Who was the other mathematician credited with independently 'inventing' calculus?
A. Srinivasa Ramanujan
B. Carl Friedrich Gauss
C. Gottfried Wilhelm Leibniz
D. Leonhard Euler
https://knowledgezone.co.in/resources/quiz?qId=618d0dba3151b9c88deb2dc9
This morning, I got a student who had an exercise that went:
"Use L'Hôpital's rule to find the horizontal asymptotes..."
Is there ever a reason to use L'Hôpital's rule for this purpose? The exercise was not a complicated one. It was a rational expression, with the numerator having the same degree as the denominator. It was very easy to figure out what the horizontal asymptote would be.
I'm asking because it is the first time I see the rule used for *this purpose*. It seems to me if it were that useful, then everyone would point it out, no?
And more #music in the same vibe << https://www.youtube.com/watch?v=U5TKKtfBEAE >> #integration #song #calculus #nomxd #MV #新曲公開 #オリジナル曲 #newmusic🐾
A magnífico composition of the Witch's Robins Egg Nebula composed by Andrea and Vikas
#Nasa #Space #Astronomy #picture #of #the #Day #Physics #chemistry #telescope #mathematics #calculus #Linear #Algebra
#Music for today << https://www.youtube.com/watch?v=P9dpTTpjymE >> Do you even like calculus if you don't like music? #derivation #differentiation #calculus #nomxd #Music🐾
In this post I explain how, by playing with half-angle formulas and a generalization of the Newton–Mollweide formula, I arrived at a method I call USM for solving integrals with radicals and composite functions involving arcsecant/arccosecant. I show how this approach unifies several classical substitutions (complex exponentials, half-angle tangents, hyperbolic parametrizations, and Euler substitutions), handles signs automatically, and even outperforms Mathematica on several benchmarks, producing much more compact antiderivatives. Through concrete examples (such as an integral with the square root of a rational expression) I explain the relationship between the substitutions y = (t + 1/t)/2 and t = x ± 1/x, connecting with “pseudo-elliptic” integrals and arguing that what many see as a mere “trick” can, in fact, be a systematic method.
Link: https://geometriadominicana.blogspot.com/2025/11/calculus-little-story-of-unification.html
India and Calculus – Numberphile Video
I recently stumbled upon a fascinating video by Numberphile that I believe everyone interested in mathematics should watch. This video is not only informative but also delves into the often-overlooked history of calculus especially it’s relation with India.
The video explores the remarkable contributions of the Kerala school of mathematics in India. These contributions significantly predated the work of renowned mathematicians, Isaac Newton and Gottfried Wilhelm Leibniz. This insight into the Kerala school sheds light on the global roots of calculus. It challenges the traditional narrative that often centers solely on Western mathematicians.
https://www.youtube.com/watch?v=G23Jx0kPCSI
Key Aspects Discussed
The video touches on several key points, including:
- The development of infinite series and calculus concepts by Indian mathematicians.
- Reasons that hampered its global recognition: Written in Malayalam language (non-Sanskrit) and Portuguese colonization at that time.
- The historical context and how these advancements laid the groundwork for future work in mathematics.
- A comparison of the methodologies used by the Kerala school and those of Newton and Leibniz.
🚀 Welcome to "Interactive" #λ-Reduction, where our cutting-edge 1936 #Calculus meets the 2025 Nets in a thrilling showdown of irrelevance! 🤯 Dive deep into the #chaos of #Lamping A, B, and maybe C if you're feeling adventurous, because why just solve problems when you can replicate decay and color graphs for no apparent reason? 🎨🧩 Oh, and don't forget to check #GitHub for all the answers to questions nobody asked! 🤦♂️
https://deltanets.org/ #Interactive #HackerNews #ngated
Another one: https://youtu.be/z6PXviT86tI
#parody #mathjokes #calculus
Lol, it seems like an old one but I've heard it now for the first time:
https://youtu.be/P9dpTTpjymE
#parody #mathjokes #calculus
Calculus for Mathematicians, Computer Scientists, and Physicists [pdf]
https://mathcs.holycross.edu/~ahwang/print/calc.pdf
#HackerNews #Calculus #Mathematics #ComputerScience #Physics #PDF #HackerNews
⚡ The Fastest Path Down Defies Intuition
Three centuries ago, mathematicians proved that a bead sliding down a special curve beats one traveling straight down. This elegant cycloid plunges steeply to build speed early, then glides efficiently to victory. Physics rewards curves over straight lines!
✍️ Explore nature's elegant solution: https://TPC8.short.gy/BaLGHFLK
🎢 When nature chooses the scenic route.
#Physics #Mathematics #Science #Cycloid #Calculus #STEM #Gravity #Newton #Engineering #TPC8
How much do lab methods shape ancient microbiome results? 🧬 This study compares extraction & library prep protocols on dental calculus from Hungary and Niger, showing that no single workflow fits all. #MetagenomicsMonday #SPAAM #aDNA #calculus #microbiome
https://doi.org/10.1111/1755-0998.70054
When a calculus student ends up solving this integral using partial fraction decomposition (PFD) or integration by parts (IBP), what they have actually done is successfully applied a classical algorithm. It’s like solving the Rubik’s cube by following an algorithm you found on the Internet: the heavy lifting of inventing PFD and IBP was done centuries ago by Bernoulli, Leibniz, and Gregory.
That said, the USM is, as far as I know, the only published general scheme that, for this kind of radical–rational integrals, systematically reduces the integrand to polynomial-type functions (Laurent polynomials, to be more precise). There’s no need to set up complicated PFDs or wrestle with sec³, which can be tricky with IBP. That’s what I call solving a problem, if you’ll allow me a bit of self-promotion.
You can find a first draft (I’ll soon upload a second version with benchmarks and some improvements) of the USM method on arXiv: https://arxiv.org/abs/2505.03754
#calculus #math #symmetrymatters #halfangleapproach #euler #integration
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