Manifolds, Vector Fields, and Differential Forms: An Introduction to Differential Geometry (Springer Undergraduate Mathematics Series) - Tapa blanda

Gross, Gal; Meinrenken, Eckhard

 
9783031254086: Manifolds, Vector Fields, and Differential Forms: An Introduction to Differential Geometry (Springer Undergraduate Mathematics Series)
Tapa blanda
ISBN 10: 3031254082 ISBN 13: 9783031254086
Editorial: Springer-Verlag GmbH, 2023

Sinopsis

This textbook serves as an introduction to modern differential geometry at a level accessible to advanced undergraduate and master's students.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Gal Gross is a Ph.D. student in mathematics at the University of Toronto, working in combinatorics and algebra with a special interest in additive combinatorics. Gross' other mathematical interests include differential geometry, set theory and foundational questions. 

Eckhard Meinrenken is a professor of mathematics at the University of Toronto, working in the fields of differential geometry and mathematical physics. His contributions include a proof of the Guillemin-Sternberg conjecture in symplectic geometry and the development, with Alekseev and Malkin, of the theory of group-valued momentum maps. In 2002 he was an invited speaker at the ICM in Beijing, and in 2008 he was elected Fellow of the Royal Society of Canada. Meinrenken's book Clifford Algebras and Lie Theory was published (c) 2013 in Springer's Ergebnisse series

De la contraportada

This textbook serves as an introduction to modern differential geometry at a level accessible to advanced undergraduate and master's students. It places special emphasis on motivation and understanding, while developing a solid intuition for the more abstract concepts. In contrast to graduate level references, the text relies on a minimal set of prerequisites: a solid grounding in linear algebra and multivariable calculus, and ideally a course on ordinary differential equations. Manifolds are introduced intrinsically in terms of coordinate patches glued by transition functions. The theory is presented as a natural continuation of multivariable calculus; the role of point-set topology is kept to a minimum.  

Questions sprinkled throughout the text engage students in active learning, and encourage classroom participation. Answers to these questions are provided at the end of the book, thus making it ideal for independent study. Material is further reinforced with homework problems ranging from straightforward to challenging. The book contains more material than can be covered in a single semester, and detailed suggestions for instructors are provided in the Preface.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer-Verlag GmbH
Año de publicación
2023
Idioma
Inglés
ISBN 10 
3031254082
ISBN 13 
9783031254086
Encuadernación
Tapa blanda
Número de páginas
357
Contacto del fabricante
Springer Nature Customer Service Center GmbH
ProductSafety@springernature.com

Europaplatz 3,69115 Heidelberg, Germany
Heidelberg
69115
Alemania

Otras ediciones populares con el mismo título

9783031254109: Manifolds, Vector Fields, and Differential Forms: An Introduction to Differential Geometry

Edición Destacada

ISBN 10:  3031254104 ISBN 13:  9783031254109
Editorial: Springer, 2023
Tapa blanda