Worked solutions to all 1062 problems in Royden & Fitzpatrick's Real Analysis (4th edition) — Lebesgue measure and integration for functions of a single real variable, differentiation and integration, the Lp spaces, metric and topological spaces, Banach and Hilbert spaces, and general measure and integration theory.
Agentic
A student's guide to COMP9418 at UNSW: what the course covers (Bayesian networks, exact and approximate inference, HMMs, learning), the Darwiche textbook, the open-book exam format, and free notes for every topic.
A student's guide to MATH5806 at UNSW: generalised linear models in R, the Dobson & Barnett textbook, assessment breakdown (quiz, R assignment, mid-session, final), plus free notes and fully worked GLM solutions.
Worked solutions to all 237 exercises in Terence Tao's An Introduction to Measure Theory (AMS GSM 126) — elementary and Lebesgue measure, the Lebesgue integral, abstract measure spaces, modes of convergence, differentiation theorems, outer measures and product measures, probability spaces, and the Kolmogorov extension theorem.
Worked solutions to all 100 homework problems in Mung Chiang's Networked Life: 20 Questions and Answers — CDMA power control, Google ad auctions and PageRank, Netflix recommendations, rating aggregation, Wikipedia, viral products, influence in social networks, six degrees, Internet topology, usage pricing, TCP congestion control, P2P, cloud, IPTV, WiFi, 4G, and fairness — with runnable jupyter-python experiments.
Worked solutions to all 732 exercises in the fourth edition of Sheldon Axler's Linear Algebra Done Right — vector spaces, finite-dimensional vector spaces, linear maps, polynomials, eigenvalues and eigenvectors, inner product spaces, operators on inner product and complex vector spaces, and multilinear algebra and determinants.
Worked solutions to all 587 exercises in Sheldon Axler's Measure, Integration & Real Analysis (Springer GTM 282) — Riemann integration, measures, integration, differentiation, product measures, Banach and Hilbert spaces, Lp spaces, real and complex measures, linear maps on Hilbert spaces, Fourier analysis, and probability measures.
Worked solutions to all 523 exercises in Volume 1 of Bogachev's Measure Theory — constructions and extensions of measures, the Lebesgue integral, operations on measures and functions, the spaces Lp, and the integral and derivative.
An Ultimate disc is a wing you can catch. 𐃏 It has no tail, no fuselage, and no static stability whatsoever — by the standards of a fixed-wing aircraft it should tumble within the first few metres. Instead it flies a hundred, because it carries its stabiliser as angular momentum. This treatise works through the mechanics in four movements: the disc as a rigid body, the aerodynamic forces on it, the gyroscopic dance that shapes every throw, and the resulting flight envelope. The canonical sources are Hummel’s flight simulations (Hummel, Sarah Ann, 2003), the Manchester wind-tunnel programme of Potts and Crowther (Potts, Jonathan R. and Crowther, William J., 2002), and Lorenz’s instrumented discs (Lorenz, Ralph D., 2005).1
Everything about the Hario V60 is a refusal to make decisions on your behalf. It is a cone, some ribs, and a hole — no valve, no basket geometry slowing the water down, no reservoir metering the flow. The dripper controls nothing, which means the person holding the kettle controls everything: grind, temperature, ratio, and the shape of the pour itself. How the bean got to your kitchen in the first place is told in a history of coffee; this treatise is about the last four minutes of that thousand-year journey.