Elementary Differential Geometry

Nonfiction, Science & Nature, Mathematics, Topology, Geometry
Cover of the book Elementary Differential Geometry by Christian Bär, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Christian Bär ISBN: 9781139637831
Publisher: Cambridge University Press Publication: May 6, 2010
Imprint: Cambridge University Press Language: English
Author: Christian Bär
ISBN: 9781139637831
Publisher: Cambridge University Press
Publication: May 6, 2010
Imprint: Cambridge University Press
Language: English

The link between the physical world and its visualization is geometry. This easy-to-read, generously illustrated textbook presents an elementary introduction to differential geometry with emphasis on geometric results. Avoiding formalism as much as possible, the author harnesses basic mathematical skills in analysis and linear algebra to solve interesting geometric problems, which prepare students for more advanced study in mathematics and other scientific fields such as physics and computer science. The wide range of topics includes curve theory, a detailed study of surfaces, curvature, variation of area and minimal surfaces, geodesics, spherical and hyperbolic geometry, the divergence theorem, triangulations, and the Gauss–Bonnet theorem. The section on cartography demonstrates the concrete importance of elementary differential geometry in applications. Clearly developed arguments and proofs, colour illustrations, and over 100 exercises and solutions make this book ideal for courses and self-study. The only prerequisites are one year of undergraduate calculus and linear algebra.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

The link between the physical world and its visualization is geometry. This easy-to-read, generously illustrated textbook presents an elementary introduction to differential geometry with emphasis on geometric results. Avoiding formalism as much as possible, the author harnesses basic mathematical skills in analysis and linear algebra to solve interesting geometric problems, which prepare students for more advanced study in mathematics and other scientific fields such as physics and computer science. The wide range of topics includes curve theory, a detailed study of surfaces, curvature, variation of area and minimal surfaces, geodesics, spherical and hyperbolic geometry, the divergence theorem, triangulations, and the Gauss–Bonnet theorem. The section on cartography demonstrates the concrete importance of elementary differential geometry in applications. Clearly developed arguments and proofs, colour illustrations, and over 100 exercises and solutions make this book ideal for courses and self-study. The only prerequisites are one year of undergraduate calculus and linear algebra.

More books from Cambridge University Press

Cover of the book The Ottoman 'Wild West' by Christian Bär
Cover of the book Religion and Conflict in Modern South Asia by Christian Bär
Cover of the book Women’s Rights in Democratizing States by Christian Bär
Cover of the book Mining of Massive Datasets by Christian Bär
Cover of the book English in the Caribbean by Christian Bär
Cover of the book English Words by Christian Bär
Cover of the book Understanding Neuropsychiatric Disorders by Christian Bär
Cover of the book The Consul at Rome by Christian Bär
Cover of the book Dissolving Royal Marriages by Christian Bär
Cover of the book War, Aggression and Self-Defence by Christian Bär
Cover of the book Deliberative Democracy between Theory and Practice by Christian Bär
Cover of the book China's Military Power by Christian Bär
Cover of the book Shoot the Moon by Christian Bär
Cover of the book Poverty and Morality by Christian Bär
Cover of the book The Cambridge Companion to Popper by Christian Bär
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy