Riemannian Geometry and Geometric Analysis

Nonfiction, Science & Nature, Mathematics, Geometry, Science, Physics, Mathematical Physics
Cover of the book Riemannian Geometry and Geometric Analysis by Jürgen Jost, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Jürgen Jost ISBN: 9783319618609
Publisher: Springer International Publishing Publication: October 13, 2017
Imprint: Springer Language: English
Author: Jürgen Jost
ISBN: 9783319618609
Publisher: Springer International Publishing
Publication: October 13, 2017
Imprint: Springer
Language: English

This established reference work continues to provide its readers with a gateway to some of the most interesting developments in contemporary geometry. It offers insight into a wide range of topics, including fundamental concepts of Riemannian geometry, such as geodesics, connections and curvature; the basic models and tools of geometric analysis, such as harmonic functions, forms, mappings, eigenvalues, the Dirac operator and the heat flow method; as well as the most important variational principles of theoretical physics, such as Yang-Mills, Ginzburg-Landau or the nonlinear sigma model of quantum field theory. The present volume connects all these topics in a systematic geometric framework. At the same time, it equips the reader with the working tools of the field and enables her or him to delve into geometric research. 

The 7th edition has been systematically reorganized and updated. Almost no page has been left unchanged. It also includes new material, for instance on symplectic geometry, as well as the Bishop-Gromov volume growth theorem which elucidates the geometric role of Ricci curvature.

From the reviews:

“This book provides a very readable introduction to Riemannian geometry and geometric analysis... With the vast development of the mathematical subject of geometric analysis, the present textbook is most welcome.” Mathematical Reviews

“For readers familiar with the basics of differential geometry and some acquaintance with modern analysis, the book is reasonably self-contained. The book succeeds very well in laying out the foundations of modern Riemannian geometry and geometric analysis. It introduces a number of key techniques and provides a representative overview of the field.” Monatshefte für Mathematik

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

This established reference work continues to provide its readers with a gateway to some of the most interesting developments in contemporary geometry. It offers insight into a wide range of topics, including fundamental concepts of Riemannian geometry, such as geodesics, connections and curvature; the basic models and tools of geometric analysis, such as harmonic functions, forms, mappings, eigenvalues, the Dirac operator and the heat flow method; as well as the most important variational principles of theoretical physics, such as Yang-Mills, Ginzburg-Landau or the nonlinear sigma model of quantum field theory. The present volume connects all these topics in a systematic geometric framework. At the same time, it equips the reader with the working tools of the field and enables her or him to delve into geometric research. 

The 7th edition has been systematically reorganized and updated. Almost no page has been left unchanged. It also includes new material, for instance on symplectic geometry, as well as the Bishop-Gromov volume growth theorem which elucidates the geometric role of Ricci curvature.

From the reviews:

“This book provides a very readable introduction to Riemannian geometry and geometric analysis... With the vast development of the mathematical subject of geometric analysis, the present textbook is most welcome.” Mathematical Reviews

“For readers familiar with the basics of differential geometry and some acquaintance with modern analysis, the book is reasonably self-contained. The book succeeds very well in laying out the foundations of modern Riemannian geometry and geometric analysis. It introduces a number of key techniques and provides a representative overview of the field.” Monatshefte für Mathematik

More books from Springer International Publishing

Cover of the book Critical Leadership Theory by Jürgen Jost
Cover of the book Clusters – Contemporary Insight in Structure and Bonding by Jürgen Jost
Cover of the book Experimental Robotics by Jürgen Jost
Cover of the book Advances in Mechanical Engineering by Jürgen Jost
Cover of the book Manipulation of Multiphase Materials for Touch-less Nanobiotechnology by Jürgen Jost
Cover of the book Dynamics of Civil Structures, Volume 2 by Jürgen Jost
Cover of the book Ethnogeriatrics by Jürgen Jost
Cover of the book Human-Centered Social Media Analytics by Jürgen Jost
Cover of the book Cybersecurity in France by Jürgen Jost
Cover of the book Bone Disorders by Jürgen Jost
Cover of the book Wellbeing, Equity and Education by Jürgen Jost
Cover of the book Putting Tradition into Practice: Heritage, Place and Design by Jürgen Jost
Cover of the book International Conference on Applications and Techniques in Cyber Security and Intelligence by Jürgen Jost
Cover of the book Berichte zur Lebensmittelsicherheit 2013 by Jürgen Jost
Cover of the book Combinatorial Pattern Matching by Jürgen Jost
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