Differential & Riemannian geometry books

Traditionally, Lorentzian geometry has been used as a necessary tool to understand general relativity, as well as...  Read More >>

This is a short tract on the essentials of differential and symplectic geometry together with a basic introduction...  Read More >>

Edited in collaboration with the Grassmann Research Group, this book contains many important articles delivered...  Read More >>

The mathematical theory of ""open"" dynamical systems is a creation of the twentieth century. The introduction of...  Read More >>

This book offers an introduction to the theory of smooth manifolds, helping students to familiarize themselves with...  Read More >>

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This small book started a profound revolution in the development of mathematical physics, one which has reached...  Read More >>

This book provides quick access to the theory of Lie groups and isometric actions on smooth manifolds, using a concise...  Read More >>

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""Geometry and Physics"" addresses mathematicians wanting to understand modern physics, and physicists wanting to...  Read More >>

""From nothing I have created a new different world,"" wrote János Bolyai to his father, Wolgang Bolyai, on November...  Read More >>

This volume covers semilinear embeddings of vector spaces over division rings and the associated mappings of Grassmannians....  Read More >>

These include certain distance spaces which lie strictly between the class of semimetric spaces and the class of...  Read More >>

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Its goal is to: - motivate and explain the method for general Lie groups, reducing the proof of deep results in...  Read More >>

Topics in Differential Geometry is a collection of papers related to the work of Evan Tom Davies in differential...  Read More >>

In mathematical physics, the correspondence between quantum and classical mechanics is a central topic, which this...  Read More >>

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As many readers will know, the 20th century was a time when the fields of mathematics and the sciences were seen...  Read More >>

Matrix-valued data sets – so-called second order tensor fields – have gained significant importance in scientific...  Read More >>

The relationship between Tropical Geometry and Mirror Symmetry goes back to the work of Kontsevich and Y.  Read More >>

This original monograph aims to explore the dynamics in the particular but very important and significant case of...  Read More >>

In this text, integral geometry deals with Radon’s problem of representing a function on a manifold in terms of...  Read More >>