Differential and Complex Geometry: Origins, Abstractions and Embeddings

Differential and complex geometry are two central areas of mathematics with a long and intertwined history. This book, the first to provide a unified historical perspective of both subjects, explores their origins and developments from the sixteenth to the twentieth century.
Providing a detailed examination of the seminal contributions to differential and complex geometry up to the twentieth-century embedding theorems, this monograph includes valuable excerpts from the original documents, including works of Descartes, Fermat, Newton, Euler, Huygens, Gauss, Riemann, Abel, and Nash.

Suitable for beginning graduate students interested in differential, algebraic or complex geometry, this book will also appeal to more experienced readers.

Geometria diferentiala si complexa sunt doua zone centrale ale matematicii cu o istorie lunga si impletita. Aceasta carte, prima care ofera o perspectiva istorica unificata a ambelor subiecte, exploreaza originile si evolutiile acestora din secolul al XVI-lea pana in secolul al XX-lea, oferind o examinare detaliata a contributiilor seminale la geometria diferentiala si complexa pana la incorporarea teoremelor din secolul al XX-lea, aceasta monografie include fragmente valoroase din documentele originale, inclusiv lucrari ale lui Descartes, Fermat, Newton, Euler, Huygens, Gauss, Riemann, Abel si Nash. Potrivita studentilor incepatori absolventi interesati de geometria diferentiala, algebrica sau complexa, aceasta carte face apel la cititori mai experimentati.