How to choose a textbook that is optimal for oneself?

Adaptive platforms, spaced repetition, and tutoring

• Several commenters report strong results from an adaptive math platform that uses placement tests, spaced repetition, and automatic gap-filling; it’s praised as underrated and substance-first, though the UI is called “spartan.”
• Platform creators emphasize: diagnostic assessment across prerequisite levels, adult-focused “foundations” sequences, and plans to expand beyond math.
• Others are skeptical that spaced repetition helps with “theoretical math,” but defenders argue deep understanding comes from lots of practice, and automation solves the logistics of finding suitable problems.
• Tutors are seen as valuable for curation, diagnosing weaknesses, and giving intuitive and critical perspectives on texts, but cost, scheduling, and limited availability are drawbacks.

Mathematical maturity and prerequisites

• Many realize late that “mathematical maturity” is a gradual, practice-based progression; struggling with “easy” topics doesn’t preclude later success.
• Debate over difficulty: some claim abstract areas (e.g., category theory, logic) are “easy” because they have few formal prerequisites; others respond that abstraction itself demands developed maturity and context.
• Epsilon–delta proofs divide participants: some see them as unenlightening technicalities rarely used in practice; others see them as central examples of formalizing intuition and indispensable for rigorous reasoning.

Choosing textbooks vs over-optimization

• Strong theme: there is no “optimal” textbook; over-searching easily turns into procrastination. Any good-enough book you actually work through beats the perfect book you never start.
• Counterpoint: a truly bad or too-advanced book can cause people to give up, so some upfront filtering is worthwhile.
• Suggested strategies: download/borrow many candidates and read a few pages from each; avoid texts whose early pages are opaque; prefer clear explanations, many examples, and plentiful exercises with at least partial solutions.

Exercises, solutions, and self-study

• Repeated complaint: solution manuals are often withheld to prevent cheating, making self-study hard; people resort to second-hand markets or piracy.
• Many want full solutions with explanations, plus datasets or tests for programming problems.
• One commenter details how current exercises overemphasize proofs and tricky algorithms, underemphasizing conceptual understanding, notation literacy, modeling/formalization, and applied word problems.

Quality and style of resources

• Opinions on textbooks are polarized: some call most of them bad or misaligned with autodidacts; others praise certain series, open-university materials, and lecture notes that have been iteratively refined via teaching.
• Lecture notes optimized to minimize student confusion are often reported as more usable than “beautiful” but austere classic texts.