Foundations to FrontierBezhig

References and tools

9 chapters.

  1. Reference sheets: formulas with conditionsUse these pages for retrieval and method selection, not as a replacement for the worked teaching. Cover the right side of a formula, reconstruct it, and explain its restrictions before checking. All variables are real unless…
  2. Companion workflow and compact engineering referencesThe companion website, , holds the code for every lab, the interactive explorers that accompany the frontier tracks, and any corrections to this edition. The code is grouped by part of the book: code/ for the labs and projects…
  3. Glossary: objects, guarantees, and common confusions
  4. Theory map: the object, the guarantee, and the boundaryUse this section as a retrieval aid after the corresponding teaching, not as a replacement for it. For each row, be able to give a fresh example, state the assumptions, and explain why a tempting stronger conclusion does not…
  5. References: calculusThe calculus modules cite the entries below by bracketed tags such as ; each tag in the text links here. The explanations, worked examples, exercises, and solutions in this book are original: they are not copied from the books…
  6. References: computing, mathematics, and careersThe public pages below were inspected on 5 September 2026. A curriculum landing page verifies topic organization, not every lecture or exercise behind it. A documentation page verifies the behavior discussed, not execution on…
  7. References: advanced and connecting workThe primary-source pages below were inspected on 5 September 2026, with the scope noted in each entry. They support definitions, model boundaries, and further study; the explanations, exercises, calculations, diagrams, and…
  8. How this book was checkedA book that asks you to check your own work should say how its own claims were checked, and what those checks cannot show. This chapter describes the checks behind the solutions, the code, the figures, and the dated facts, and…
  9. About the authoris the owner of , an independent studio in that builds games, game engines, and software tools. Its games run on Fate, the C++ engine he writes, among them the zombie role-playing game Undead Forever, the mobile MMORPG…