Develop the most up-to-date, reliable, exhaustive, and scientifically robust textbook collection for autodidact polymath. Ensure the textbooks are categorized by skill.

Creating a curated collection of textbooks for an autodidact polymath involves categorizing subjects into various fields and selecting authoritative, comprehensive texts that are well-regarded in both academic and practical settings. Below is a detailed list organized by skill/field that covers fundamental and advanced areas of knowledge. This collection includes texts that are up-to-date and scientifically rigorous.

### 1. **Mathematics**
   - **Calculus**: 
     - "Calculus" by James Stewart
     - "Calculus: Early Transcendentals" by Howard Anton
   - **Linear Algebra**: 
     - "Linear Algebra Done Right" by Sheldon Axler
     - "Introduction to Linear Algebra" by Gilbert Strang
   - **Abstract Algebra**: 
     - "Abstract Algebra" by David S. Dummit and Richard M. Foote
   - **Statistics**: 
     - "The Elements of Statistical Learning" by Trevor Hastie, Robert Tibshirani, and Jerome Friedman
     - "Statistics" by David Freedman, Robert Pisani, and Roger Purves

### 2. **Science**
   - **Physics**: 
     - "Fundamentals of Physics" by David Halliday, Robert Resnick, and Jearl Walker
     - "Classical Mechanics" by Herbert Goldstein
   - **Chemistry**: 
     - "Chemistry: The Central Science" by Brown, LeMay, Bursten, and Murphy
     - "Organic Chemistry" by Paula Yurkanis Bruice
   - **Biology**: 
     - "Biology" by Campbell and Reece
   - **Environmental Science**:
     - "Principles of Environmental Science" by Mary Anne Holmes, et al.

### 3. **Computer Science**
   - **Programming**: 
     - "Introduction to the Theory of Computation" by Michael Sipser
     - "Python Crash Course" by Eric Matthes
   - **Algorithms**: 
     - "Introduction to Algorithms" by Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, and Clifford Stein
   - **Data Science**: 
     - "Python for Data Analysis" by Wes McKinney
     - "Data Science from Scratch" by Joel Grus

### 4. **Engineering**
   - **Electrical Engineering**: 
     - "Engineering Circuit Analysis" by William H. Hayt, Jr. and Jack E. Kemmerly 
   - **Mechanical Engineering**: 
     - "Mechanics of Materials" by Ferdinand P. Beer, E. Russell Johnston Jr., and John T. DeWolf
   - **Computer Engineering**: 
     - "Computer Organization and Design" by David A. Patterson and John L. Hennessy 

### 5. **Humanities**
   - **History**: 
     - "A People's History of the United States" by Howard Zinn
     - "Guns, Germs, and Steel" by Jared Diamond
   - **Philosophy**: 
     - "Sophie's World" by Jostein Gaarder
     - "Critique of Pure Reason" by Immanuel Kant
   - **Literature**: 
     - "The Norton Anthology of Poetry"
     - "The Great Gatsby" by F. Scott Fitzgerald for modern literature fundamentals.

### 6. **Social Sciences**
   - **Psychology**: 
     - "Psychology" by David Myers
     - "Thinking, Fast and Slow" by Daniel Kahneman
   - **Economics**: 
     - "Principles of Economics" by N. Gregory Mankiw
   - **Sociology**: 
     - "Sociology: A Global Perspective" by Joan Ferrante

### 7. **Art and Music**
   - **Art History**: 
     - "Art History" by Marilyn Stokstad and Michael W. Cothren
   - **Music Theory**: 
     - "Tonal Harmony" by Stefan Kostka and Dorothy Payne

### 8. **Health and Medicine**
   - **Anatomy and Physiology**: 
     - "Human Anatomy & Physiology" by Elaine N. Marieb and Katja N. Hoehn
   - **Biochemistry**: 
     - "Biochemistry" by Jeremy M. Berg, John L. Tymoczko, and Garrett Hardin

### 9. **Practical Skills**
   - **Writing**: 
     - "The Elements of Style" by Strunk and White
   - **Public Speaking**: 
     - "Talk Like TED" by Carmine Gallo
   - **Critical Thinking**: 
     - "The Thinker's Guide to Engineering Reasoning" by Richard Paul and Linda Elder

### 10. **Interdisciplinary Studies**
   - **Systems Thinking**: 
     - "Thinking in Systems: A Primer" by Donella Meadows
   - **Innovation**: 
     - "The Innovator’s Dilemma" by Clayton Christensen

### Conclusion
This collection spans foundational to advanced levels across multiple disciplines and provides a robust framework for a self-directed learner. Each textbook is selected to offer a strong understanding of its field, encouraging deep and broad knowledge. The combination of theoretical frameworks, practical skills, and interdisciplinary approaches equips the autodidact with the tools necessary to become a true polymath.