Diferencijalna geometrija krivih i povr\v{s}i u trodimenzionalnom euklidskom prostoru

TL;DR

This book introduces undergraduate students to the differential geometry of curves and surfaces in three-dimensional Euclidean space, covering fundamental concepts with numerous examples and illustrations.

Contribution

It provides a comprehensive, accessible introduction to Euclidean differential geometry tailored for undergraduates, including detailed examples and solutions.

Findings

Clear explanation of differential geometry concepts

Numerous solved problems and illustrations

Foundational knowledge for further study

Abstract

This manuscript, titled Differential Geometry of Curves and Surfaces in Three-dimensional Euclidean Space, is intended for undergraduate students of mathematics and other sciences with the need of use of Euclidean differential geometry. We deal with the differential geometry of curves and surfaces in three dimensions, covering all the main definitions, ideas and concepts needed for successful understanding and further application of this fundamental branch of mathematics. Many concrete examples with solutions are given with illustrations. ----- Ova knjiga namijenjena je dodiplomskim studentima matematike i drugih nauka sa potrebom upotrebe euklidske diferencijalne geometrije. Upoznat \'cemo se sa diferencijalnom geometrijom krivih i povr\v{s}i u tri dimenzije, pokrivaju\'ci sve glavne definicije, ideje i koncepte potrebne za razumijevanje i uspje\v{s}nu dalju primjenu ove fundamentalne grane matematike. Dati su mnogi konkretni problemi sa rje\v{s}enjima i mno\v{s}tvom ilustracija.