Solutions

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.

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.

Worked solutions in R to all 78 exercises in the fourth edition of Dobson & Barnett's An Introduction to Generalized Linear Models — exponential family theory, estimation and inference, normal linear models, binomial and Poisson regression, contingency tables, survival analysis, clustered and longitudinal data, and Bayesian analysis with MCMC.