This book gives an introduction to modern geometry. Starting from an elementarylevel the author develops deep geometrical concepts playing an important rolenowa... » 

This book gives an introduction to modern geometry. Starting from an elementarylevel the author develops deep geometrical concepts playing an important rolenowadays in contemporary theoretical physics. He presents various techniquesand viewpoints thereby showing the relations between the alternativeapproaches. At the end of each chapter suggestions for further reading aregiven to allow the reader to study the touched topics in greater detail. Thissecond edition of the book contains two additional more advanced geometrictechniques 1 The modern language and modern view of Algebraic Geometry and2 Mirror Symmetry. The book grew out of lecture courses. The presentationstyle is therefore similar to a lecture. Graduate students of theoretical andmathematical physics will appreciate this book as textbook. Students ofmathematics who are looking for a short introduction to the various aspects ofmodern geometry and their interplay will also find it useful. Researchers willesteem the book as reliable reference. «