Create a realistic, no-nonsense, modern self-study roadmap w...

Prompt

Create a realistic, no-nonsense, modern self-study roadmap with the best resources to learn Mathematics from complete beginner to advanced in 2026. I tend to prefer books over online courses and videos since now I can always tutor myself with AI but I believe in whatever you think is best for me. Organize it into: 1. Fundamentals 2. Undergraduate 3. Undergraduate electives 4. Graduate 5. Other readings — worthwhile works outside the main progression. Use these sections as broad markers of depth, not as a requirement to reproduce a traditional university curriculum. Prioritize the most coherent path for independent learning, reorganizing or connecting topics across conventional academic boundaries when helpful. Make the progression as smooth as possible. Account for prerequisites, including background knowledge and skills that standard curricula often leave implicit. Anticipate common gaps and abrupt shifts in difficulty or style of reasoning, and include bridge material where needed so I am prepared for each next step. For each non-elective subject in the main progression, recommend **at least three books**. I wan't options to choose the book I like/connect the most. For electives recommend only one book to keep the roadmap manageable. Do not treat publisher websites descriptions as independent evidence of quality or suitability Compare several strong books for each subject before selecting the best three for overall quality and my self-study goals. Judge books on their merits. Briefly justify your choices and explain their differences so I can choose. Apply the same care to electives, recommending only one book each.