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This book starts with a concise but rigorous overview of the basic notions of projective geometry, using straightforward......more
Differential Calculus.- Manifolds: The Basics.- From Local to Global.- Lie Groups.- Differential Forms.- Integration and......more
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The present publication contains a special collection of research and review articles on deformations of surface singula......more
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This book offers an introduction to the theory of smooth manifolds, helping students to familiarize themselves with the ......more
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The Lie Theory Workshop, founded by Joe Wolf (UC, Berkeley), has been running for over two decades. These workshops have......more
This textbook is distinguished from other texts on the subject by the depth of the presentation and the discussion of th......more
This book is the result of a joint venture between Professor Akio Kawauchi, Osaka City University, well-known for his r......more
Visualization research aims to provide insight into large, complicated data sets and the phenomena behind them. While th......more
This book summarizes research carried out in workshops of the SAGA project, an Initial Training Network exploring the in......more
Introduction.- Basic Arrangements.- Queries and Free Functions.- Arrangements of Unbounded Curves.- Arrangement-Traits C......more
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Cinderella.2, the new version of the well-known interactive geometry software, has become an even more versatile tool th......more
This book presents recent results on positivity and optimization of polynomials in non-commuting variables. Researchers ......more
This book explores some of the major turning points in the history of mathematics, ranging from ancient Greece to the pr......more
Leonid Ryvkin gives a motivated and self-sustained introduction to n-plectic geometry with a special focus on symmetries......more
The book provides an overview of the state-of-the-art of map construction algorithms, which use tracking data in the for......more
This brief presents a solution to the interpolation problem for arithmetically Cohen-Macaulay (ACM) sets of points in th......more
The Helmholtz Conditions and the Method of Controlled Lagrangians.- The Sonin-Douglas Problem.- Inverse Variational Prob......more
Konrad Schöbel aims to lay the foundations for a consequent algebraic geometric treatment of variable Separation, which ......more
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This monograph gives a short introduction to the relevant modern parts of discrete geometry, in addition to leading the ......more
The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory. This volume s......more
This book explores fundamental aspects of geometric network optimisation with applications to a variety of real world pr......more
This book takes an in-depth look at abelian relations of codimension one webs in the complex analytic setting. In its cl......more
The author defines "Geometric Algebra Computing" as the geometrically intuitive development of algorithms using geometri......more
This book offers an introduction to the theory of smooth manifolds, helping students to familiarize themselves with the ......more
The Lie Theory Workshop, founded by Joe Wolf (UC, Berkeley), has been running for over two decades. At the beginning, th......more
Bioceramics: Properties, Characterization, and Applications will be a general introduction to the uses of ceramics and g......more
The Lie Theory Workshop, founded by Joe Wolf (UC, Berkeley), has been running for over two decades. These workshops have......more
This is a monograph that details the use of Siegel’s method and the classical results of homotopy groups of spheres and ......more
The first instances of deformation theory were given by Kodaira and Spencer for complex structures and by Gerstenhaber f......more
This book summarizes research carried out in workshops of the SAGA project, an Initial Training Network exploring the in......more
After revising known representations of the group of Euclidean displacements Daniel Klawitter gives a comprehensive intr......more
This monograph presents theoretical methods involving the Hamilton-Jacobi-Bellman formalism in conjunction with set-valu......more
This is a monograph on fixed point theory, covering the purely metric aspects of the theory-particularly results that do......more
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This original monograph aims to explore the dynamics in the particular but very important and significant case of quasi-......more
In this text, integral geometry deals with Radon’s problem of representing a function on a manifold in terms of its inte......more
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Preface.- Preliminaries.- 1. Linear Equations.- 2. Matrices and Determinants.- 3. Vector Spaces.- 4. Linear Transformati......more
Astronomy as well as molecular physics describe non-relativistic motion by an interaction of the same form: By Newton s ......more
This collection of surveys consists in part of extensions of papers presented at the conferences on convexity at the Tec......more
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Combinatorics and Algebraic Geometry have enjoyed a fruitful interplay since the nineteenth century. Classical interacti......more
Here for the first time the reader will find a presentation of modern one-loop quantum cosmology with boundary condition......more
In the 1970s Hirzebruch and Zagier produced elliptic modular forms with coefficients in the homology of a Hilbert modula......more
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This book is intended to be used as a textbook for graduate students studying theoretical computer science. It can also ......more
In the past ten years, there has been much progress in understanding the global dynamics of systems with several degrees......more
This book presents in a systematic and almost self-contained way the striking analogy between classical function theory,......more
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A series of research papers on subjects related to the work of Niels Henrik Abel, written by some of the foremost specia......more
The present publication contains a special collection of research and review articles on deformations of surface singula......more
This monograph gives a short introduction to the relevant modern parts of discrete geometry, in addition to leading the ......more
Since Benoit Mandelbrot’s pioneering work in the late 1970s, scores of research articles and books have been published o......more
The two volume set, consisting of LNCS 7728 and 7729, contains the carefully reviewed and selected papers presented at t......more
The two volume set, consisting of LNCS 7728 and 7729, contains the carefully reviewed and selected papers presented at t......more
The Jacobian of a smooth projective curve is undoubtedly one of the most remarkable and beautiful objects in algebraic g......more
1 Foundations of stochastic geometry and theory of random sets.- 2 Introduction into integral geometry and stereology.- ......more
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This book is based on an international workshop held in Berlin in 1995. The workshop was met with great approval by math......more
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This work introduces a unifying mathematical model to describe phenomena in different branches of physics. In particular......more
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Mikhail Gromov introduced pseudo-holomorphic curves into symplectic geometry in 1985. Since then, pseudo-holomorphic cur......more
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This volume of the Encyclopaedia is the second in its subseries on the theory of several complex variables. It contains ......more
The analysis of Euclidean space is well-developed. The classical Lie groups that act naturally on Euclidean space-the ro......more
This is a text on geometric constructions--a popular area of mathematics since the time of Plato to the modern classroom......more
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This self-contained book offers a new and direct approach to the theories of special functions with emphasis on spherica......more
During the last century the relationship between Fourier analysis and other areas of mathematics has been systematically......more
Preface.- Introduction.- Graphs.- Groups, Actions, and Symmetry.- Maps.- Combinatorial Configurations.- Geometric Config......more
This original monograph aims to explore the dynamics in the particular but very important and significant case of quasi-......more
This volume provides a wide-ranging survey of, and many new results on, various important types of ideal factorization a......more
Affine flag manifolds are infinite dimensional versions of familiar objects such as Gra mann varieties. The book feature......more
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