Math

Worked solutions to all 467 exercises in Stephen Abbott's Understanding Analysis (2nd edition) — the real numbers and completeness, sequences and series, the topology of R, functional limits and continuity, the derivative, sequences and series of functions, the Riemann integral, and the additional topics chapter from metric spaces to Fourier series.

Worked solutions to all 203 exercises in Jeffrey S. Rosenthal's A First Look at Rigorous Probability Theory (2nd edition) — probability triples and extension theorems, random variables, expected values, inequalities and convergence, distributions, gambling games, discrete Markov chains, weak convergence, characteristic functions, decomposition of laws, conditional expectation, and martingales.

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.

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 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.