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9783642385384

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From the reviews: The aim of the book is to introduce students with background in Riemannian geometry to the theory of connections on principal bundles and holonomy. The exposition of the material is clear and very detailed. Many examples and figures illustrate the concepts and theorems. At the end of each chapter there are exercises. Most of them provide further interesting examples. Solutions are given at the end of the book. This book is definitely a welcome addition to the German textbook market. (Thomas Puttmann, Zentralblatt MATH, Vol. 1175, 2010) This textbook provides a thorough introduction into the theory of connections on principal fiber bundles and holonomy. Each chapter of this carefully prepared text is closed by a number of well-selected exercises. Their solutions are given at the end of the book together with an appendix collecting the necessary prerequisites from Riemannian geometry. (R. Steinbauer, Monatshefte fur Mathematik, Vol. 165 (3-4), March, 2012) From the book reviews: This textbook provides in an attractive and rigorous manner, an introduction to the differential geometry of fiber bundles. ... The book targets as main audience the students whose subjects of study are mathematics and physics. All in all, it represents an excellent primary source for learning the mathematical foundations of gauge field theory. (Vladimir Balan, zbMATH, Vol. 1297, 2014) From the book reviews: This textbook provides in an attractive and rigorous manner, an introduction to the differential geometry of fiber bundles. The book targets as main audience the students whose subjects of study are mathematics and physics. All in all, it represents an excellent primary source for learning the mathematical foundations of gauge field theory. (Vladimir Balan, zbMATH, Vol. 1297, 2014) From the book reviews: This textbook provides in an attractive and rigorous manner, an introduction to the differential geometry of fiber bundles. The book targets as main audience the students whose subjects of study are mathematics and physics. All in all, it represents an excellent primary source for learning the mathematical foundations of gauge field theory. (Vladimir Balan, zbMATH, Vol. 1297, 2014) From the reviews: The aim of the book is to introduce students with background in Riemannian geometry to the theory of connections on principal bundles and holonomy. The exposition of the material is clear and very detailed. Many examples and figures illustrate the concepts and theorems. At the end of each chapter there are exercises. Most of them provide further interesting examples. Solutions are given at the end of the book. This book is definitely a welcome addition to the German textbook market. (Thomas Puttmann, Zentralblatt MATH, Vol. 1175, 2010) This textbook provides a thorough introduction into the theory of connections on principal fiber bundles and holonomy. Each chapter of this carefully prepared text is closed by a number of well-selected exercises. Their solutions are given at the end of the book together with an appendix collecting the necessary prerequisites from Riemannian geometry. (R. Steinbauer, Monatshefte fur Mathematik, Vol. 165 (3-4), March, 2012) From the reviews: The aim of the book is to introduce students with background in Riemannian geometry to the theory of connections on principal bundles and holonomy. The exposition of the material is clear and very detailed. Many examples and figures illustrate the concepts and theorems. At the end of each chapter there are exercises. Most of them provide further interesting examples. Solutions are given at the end of the book. This book is definitely a welcome addition to the German textbook market. (Thomas P ttmann, Zentralblatt MATH, Vol. 1175, 2010)

From the book reviews: This textbook provides in an attractive and rigorous manner, an introduction to the differential geometry of fiber bundles. The book targets as main audience the students whose subjects of study are mathematics and physics. All in all, it represents an excellent primary source for learning the mathematical foundations of gauge field theory. (Vladimir Balan, zbMATH, Vol. 1297, 2014)

From the reviews: The aim of the book is to introduce students with background in Riemannian geometry to the theory of connections on principal bundles and holonomy. The exposition of the material is clear and very detailed. Many examples and figures illustrate the concepts and theorems. At the end of each chapter there are exercises. Most of them provide further interesting examples. Solutions are given at the end of the book. This book is definitely a welcome addition to the German textbook market. (Thomas Puttmann, Zentralblatt MATH, Vol. 1175, 2010) This textbook provides a thorough introduction into the theory of connections on principal fiber bundles and holonomy. Each chapter of this carefully prepared text is closed by a number of well-selected exercises. Their solutions are given at the end of the book together with an appendix collecting the necessary prerequisites from Riemannian geometry. (R. Steinbauer, Monatshefte fur Mathematik, Vol. 165 (3-4), March, 2012) From the book reviews: This textbook provides in an attractive and rigorous manner, an introduction to the differential geometry of fiber bundles. The book targets as main audience the students whose subjects of study are mathematics and physics. All in all, it represents an excellent primary source for learning the mathematical foundations of gauge field theory. (Vladimir Balan, zbMATH, Vol. 1297, 2014) From the book reviews: This textbook provides in an attractive and rigorous manner, an introduction to the differential geometry of fiber bundles. The book targets as main audience the students whose subjects of study are mathematics and physics. All in all, it represents an excellent primary source for learning the mathematical foundations of gauge field theory. (Vladimir Balan, zbMATH, Vol. 1297, 2014) From the reviews: The aim of the book is to introduce students with background in Riemannian geometry to the theory of connections on principal bundles and holonomy. The exposition of the material is clear and very detailed. Many examples and figures illustrate the concepts and theorems. At the end of each chapter there are exercises. Most of them provide further interesting examples. Solutions are given at the end of the book. This book is definitely a welcome addition to the German textbook market. (Thomas Puttmann, Zentralblatt MATH, Vol. 1175, 2010) This textbook provides a thorough introduction into the theory of connections on principal fiber bundles and holonomy. Each chapter of this carefully prepared text is closed by a number of well-selected exercises. Their solutions are given at the end of the book together with an appendix collecting the necessary prerequisites from Riemannian geometry. (R. Steinbauer, Monatshefte fur Mathematik, Vol. 165 (3-4), March, 2012) From the reviews: The aim of the book is to introduce students with background in Riemannian geometry to the theory of connections on principal bundles and holonomy. The exposition of the material is clear and very detailed. Many examples and figures illustrate the concepts and theorems. At the end of each chapter there are exercises. Most of them provide further interesting examples. Solutions are given at the end of the book. This book is definitely a welcome addition to the German textbook market. (Thomas P ttmann, Zentralblatt MATH, Vol. 1175, 2010)

From the reviews: The aim of the book is to introduce students with background in Riemannian geometry to the theory of connections on principal bundles and holonomy. The exposition of the material is clear and very detailed. Many examples and figures illustrate the concepts and theorems. At the end of each chapter there are exercises. Most of them provide further interesting examples. Solutions are given at the end of the book. This book is definitely a welcome addition to the German textbook market. (Thomas Puttmann, Zentralblatt MATH, Vol. 1175, 2010) This textbook provides a thorough introduction into the theory of connections on principal fiber bundles and holonomy. Each chapter of this carefully prepared text is closed by a number of well-selected exercises. Their solutions are given at the end of the book together with an appendix collecting the necessary prerequisites from Riemannian geometry. (R. Steinbauer, Monatshefte fur Mathematik, Vol. 165 (3-4), March, 2012)

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Prof. Dr. Helga Baum, Humboldt-Universität Berlin, Institut für Mathematik

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