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Partial Differential Equations
This book offers an ideal graduate-level introduction to the theory of partial differential equations. The first part of the book describes the basic mathematical problems and …
On the Hypotheses Which Lie at the Bases of Geometry
This book presents William Clifford’s English translation of Bernhard Riemann’s classic text together with detailed mathematical, historical and philosophical commentary. The basic …
Information Geometry and Population Genetics
The present monograph develops a versatile and profound mathematical perspective of the Wright--Fisher model of population genetics. This well-known and intensively studied model …
Geometry and Physics
"Geometry and Physics" addresses mathematicians wanting to understand modern physics, and physicists wanting to learn geometry. It gives an introduction to modern quantum field …
Calculus of Variations
This textbook on the calculus of variations leads the reader from the basics to modern aspects of the theory. One-dimensional problems and the classical issues like Euler-Lagrange …
Information Geometry
The book provides a comprehensive introduction and a novel mathematical foundation of the field of information geometry with complete proofs and detailed background material on …
The Idea of the Public Sphere
The notion of "the public sphere" has become increasingly central to theories and studies of democracy, media, and culture over the last few decades. It has also gained political …
Cross-Cultural Innovation
Cross-cultural means not only the differences between ethnic, racial or national groups. It is more. Cross-cultural confrontations arise by the differences of genders, educational …
Networks: From Biology to Theory
After over a century of research, we still do not understand the principle by which a stimulus, such as an odour or a sound, is represented by distributed neural ensembles within …
Mathematical Principles of Topological and Geometric Data Analysis
This book explores and demonstrates how geometric tools can be used in data analysis. Beginning with a systematic exposition of the mathematical prerequisites, covering topics …