PREFACE TO THE 25TH ANNIVERSARY EDITION
Bibliographic record
Abstract
Extract Introduction Mathematical reality exists outside the confines of space and time, but books about mathematics do not. A quarter century after its publication, I am grateful that an entirely new generation of mathematicians and scientists has continued to embrace VCA’s unorthodox, intuitive, and, above all, geometrical approach to Complex Analysis. To mark the occasion, Oxford University Press has graciously permitted me to revisit the work, resulting in the creation of this significantly improved 25th Anniversary Edition. Principal Changes in the New Edition Perhaps I should begin by noting what has not changed. As I shall elaborate below, back in 1997, one of my key mathematical innovations was the application of Newton’s geometrical methods from the Principia (now 335 years old) to the Complex Analysis of Cauchy and Riemann (now more than 200 years old). Therefore, I have not seen any need to update the main body of the text, which has remained almost unchanged, save for a few additional corrections.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.004 |
| Meta-epidemiology (narrow) | 0.001 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.001 |
| Bibliometrics | 0.004 | 0.003 |
| Science and technology studies | 0.002 | 0.001 |
| Scholarly communication | 0.007 | 0.004 |
| Open science | 0.001 | 0.003 |
| Research integrity | 0.002 | 0.004 |
| Insufficient payload (model declined to judge) | 0.449 | 0.414 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".