[Andrew McInerney] Ê First Steps in Differential Geometry: Riemannian, Contact, Symplectic (Undergraduate Texts in Mathematics) [Geometry Book] PDF ☆ Read Online eBook or Kindle ePUB

• Title : First Steps in Differential Geometry: Riemannian, Contact, Symplectic (Undergraduate Texts in Mathematics)
• Author : Andrew McInerney
• Rating : 4.51 (363 Vote)
• Publish : 2016-6-10
• Format : Hardcover
• Pages : 410 Pages
• Asin : 146147731X
• Language : English

Each chapter also includes a short guide to further reading on the topic with a helpful brief commentary on the suggestions.” (Robert J. Colley, Choice, Vol. J. Altogether, this book is easy to read because there are plenty of figures, examples and exercises which make it intuitive and perfect for under

Each chapter also includes a short guide to further reading on the topic with a helpful brief commentary on the suggestions.” (Robert J. Colley, Choice, Vol. J. Altogether, this book is easy to read because there are plenty of figures, examples and exercises which make it intuitive and perfect for undergraduate students.” (Teresa Arias-Marco, zbMATH, Vol. From the book reviews:“This books presents an alternative route, aiming to provide the student with an introduction not only to Riemannian geometry, but also to contact and symplectic geometry. … Mclnerney’s writing is well constructed and very clear … . Summing Up: Recommended. 51 (8), April, 2014)“The author does make a considerable effort to keep things as accessible as possible, with fairly detailed explanations, extensiv

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The main goal of this book is to bring the undergraduate student who already has a solid foundation in the standard mathematics curriculum into contact with the beauty of higher mathematics. Today it is possible to describe differential geometry as "the study of structures on the tangent space," and this text develops this point of view. In particular, the presentation here emphasizes the consequences of a definition and the careful use of examples and constructions in order to explore those consequences.. Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors. This book, unlike other introductory texts in differential geometry, develops the architecture necessary to introduce symplectic and contact geometry alongside its Riemannian cousin

Andrew McInerney is a mathematics professor at Bronx Community College of the City University of New York.