Convex and Stochastic Optimization. 1st ed. 2019. - Springer Verlag, 2019. - (Universitext).
Hyperplane arrangements: an introduction. - Springer Verlag, 2017. - (Universitext).
The analysis and geometry of Hardy's inequality. - Springer Verlag, 2015. - (Universitext).
A course on rough paths: with an introduction to regularity structures. - Springer Verlag, 2014. - (Universitext).
Algebraic geometry and commutative algebra. - Springer Verlag, 2013. - (Universitext).
Stochastic differential equations: an introduction with applications. Sixth edition, sixth correted printing. - Springer Verlag, 2013. - (Universitext).
Functional analysis, Sobolev spaces and partial differential equations. - Springer Verlag, 2011. - (Universitext).
Local bifurcations, center manifolds, and normal forms in infinite-dimensional dynamical systems. - EDP Sciences, 2011. - (Universitext).
Holomorphic function theory in several variables: an introduction. - Springer Verlag, 2011. - (Universitext).
Mathematical Logic and Model theory: a Brief Introduction. - Springer Verlag, 2011. - (Universitext).
An Introduction to Manifolds. 2nd edition. - Springer Verlag, 2011. - (Universitext).
Mirrors and reflections - the geometry of finite reflection groups. - Springer Verlag, 2010. - (Universitext).
Groups and symmetries - from finite groups to Lie groups. - Springer Verlag, 2010. - (Universitext).
Hyperbolic partial differential equations. - Springer Verlag, 2009. - (Universitext).
Class field theory. - Springer Verlag, 2009. - (Universitext).
Class field theory. - Springer Verlag, 2009. - (Universitext).
Malliavin calculus for Lévy processes with applications to finance. - Springer Verlag, 2009. - (Universitext).
Introduction to nonlinear dispersive equations. - Springer Verlag, 2009. - (Universitext).
An introduction to ordinary differential equations. - Springer Verlag, 2008. - (Universitext).
The 1-2-3 of modular forms - Lectures at a Summer School at the Sophus Lie conference center in Nordfjordeid, Norway, in june 2004. - Springer Verlag, 2008. - (Universitext).
Algebra. Volume 2 : Fields with structure, algebras and advanced topics. - Springer Verlag, 2008. - (Universitext).
Aspects of Brownian motion. - Springer Verlag, 2008. - (Universitext).
Catalan's conjecture. - Springer Verlag, 2008. - (Universitext).
A basic course in probablity theory. - Springer Verlag, 2007. - (Universitext).
Numerical treatment of partial differential equations. - Springer Verlag, 2007. - (Universitext).
Theory of probability and random processes. 2nd edition. - Springer Verlag, 2007. - (Universitext).
An invitation to Morse theory. - Springer Verlag, 2007. - (Universitext).
Applied Stochastic Control of Jump Diffusions. 2nd edition. - Springer Verlag, 2007. - (Universitext).
Lie groups - an approach through invariants and representations. - Springer Verlag, 2007. - (Universitext).
Numerical optimization: theoretical and practical aspects. Second edition. - Springer Verlag, 2006. - (Universitext).
An introduction to infinite-dimensional analysis. - Springer Verlag, 2006. - (Universitext).
A short course on operator semigroups. - Springer Verlag, 2006. - (Universitext).
Compact Riemann surfaces: an introduction to contemporary mathematics. Third edition. - Springer Verlag, 2006. - (Universitext).
Algebra. Volume 1 : Fields and Galois theory. - Springer Verlag, 2006. - (Universitext).
Partial differential equations. 1, Foundations and integral representations ; with consideration of lectures by E. Heinz. - Springer Verlag, 2006. - (Universitext).
Partial differential equations. 2, functional analytic methods ; with consideration of lectures by E. Heinz. - Springer Verlag, 2006. - (Universitext).
Frontiers of numerical analysis. Eleventh LMS-EPSRC computational mathematics and scientific computing summer school held at the University of Durham, UK, 4-9 July 2004. - Springer Verlag, 2005. - (Universitext).
Lattices and ordered algebraic structures. - Springer Verlag, 2005. - (Universitext).
A first course in harmonic analysis. Second edition. - Springer Verlag, 2005. - (Universitext).
Complex analysis. - Springer Verlag, 2005. - (Universitext).
Complex geometry. An introduction. - Springer Verlag, 2005. - (Universitext).
Lectures on partial differential equations. - Springer Verlag, 2004. - (Universitext).
Sheaves in topology. - Springer Verlag, 2004. - (Universitext).
A taste of Jordan algebras. - Springer Verlag, 2004. - (Universitext).
Geometry. - Springer Verlag, 2003. - (Universitext).
Mathematical concepts of quantum mechanics. - Springer Verlag, 2003. - (Universitext).
Using the Borsuk-Ulam theorem. lectures on topological methods in combinatorics and geometry. - Springer Verlag, 2003. - (Universitext).
Discourses on algebra ; translated from the Russian by William B. Everett. - Springer Verlag, 2003. - (Universitext).
Riemannian geometry and geometric analysis. Third edition. - Springer Verlag, 2002. - (Universitext).
Quantum calculus. - Springer Verlag, 2002. - (Universitext).
An introduction to semiclassical and microlocal analysis. - Springer Verlag, 2002. - (Universitext).
An introduction to Mori program. - Springer Verlag, 2002. - (Universitext).
Algebraic surfaces. Translated by Vladimir Masek. - Springer Verlag, 2001. - (Universitext).
Higher-dimensional algebraic geometry. - Springer Verlag, 2001. - (Universitext).
Algebras of linear transformations. - Springer Verlag, 2001. - (Universitext).
Lectures on analysis on metric spaces. - Springer Verlag, 2001. - (Universitext).
Classical theory of algebraic numbers. - Springer Verlag, 2001. - (Universitext).
Formal power series and linear systems of meromorphic ordinary differential equations. - Springer Verlag, 2000. - (Universitext).
Lie groups. - Springer Verlag, 2000. - (Universitext).
An invitation to algebraic geometry. - Springer Verlag, 2000. - (Universitext).
Introduction to large truncated Toeplitz matrices. - Springer Verlag, 1999. - (Universitext).
Sphere packings. - Springer Verlag, 1999. - (Universitext).
Algebraic surfaces and holomorphic vector bundles. - Springer Verlag, 1998. - (Universitext).
Postmodern analysis. Translated by Hassan Azad. - Springer Verlag, 1998. - (Universitext).
Stochastic differential equations, an introduction with applications. 5th edition. - Springer Verlag, 1998. - (Universitext).
Topics in complex analysis. - Springer Verlag, 1997. - (Universitext).
Topics in complex analysis. - Springer Verlag, 1997. - (Universitext).
Excursions into combinatorial geometry. - Springer Verlag, 1997. - (Universitext).
Numerical range. The field of values of linear operators and matrices. - Springer Verlag, 1997. - (Universitext).
Entire and meromorphic function. - Springer Verlag, 1996. - (Universitext).
Probability theory - an advanced course. - Springer Verlag, 1995. - (Universitext).
Complex manifold without potential theory. Second revised edition. - Springer Verlag, 1995. - (Universitext).
Nonstandard analysis in practice. - Springer Verlag, 1995. - (Universitext).
Introduction to hyperbolic geometry. - Springer Verlag, 1995. - (Universitext).
Differential forms and applications. - Springer Verlag, 1994. - (Universitext).
Quadratic algebras, Clifford algebras, and arithmetic Witt groups. - Springer Verlag, 1994. - (Universitext).
A first course in discrete dynamical systems. - Springer Verlag, 1994. - (Universitext).
Sheaves in geometry and logic, a first introduction to topos theory. Second corrected printing. - Springer Verlag, 1994. - (Universitext).
Introduction to game theory. - Springer Verlag, 1994. - (Universitext).
Introduction to etale cohomology. - Springer Verlag, 1994. - (Universitext).
Complex dynamics. - Springer Verlag, 1993. - (Universitext).
Degenerate parabolic equations. - Springer Verlag, 1993. - (Universitext).
P-adic numbers, an introduction. - Springer Verlag, 1993. - (Universitext).
Normal families. - Springer Verlag, 1993. - (Universitext).
Composition operators and classical function theory. - Springer Verlag, 1993. - (Universitext).
Algebraic function fields and codes. - Springer Verlag, 1993. - (Universitext).
Linear programming duality. An introduction to oriented matroids. - Springer Verlag, 1992. - (Universitext).
Lectures on hyperbolic geometry. - Springer Verlag, 1992. - (Universitext).
Lie sphere geometry. - Springer Verlag, 1992. - (Universitext).
Singularities and topology of hypersurfaces. - Springer Verlag, 1992. - (Universitext).
Non-abelian harmonic analysis. Applications of SL (2,R). - Springer Verlag, 1992. - (Universitext).
A primer on spectral theory. - Springer Verlag, 1991. - (Universitext).
Geometric and analytic number theory. - Springer Verlag, 1991. - (Universitext).
Riemannian geometry. 2nd edition. - Springer Verlag, 1990. - (Universitext).
Continuity, integration and Fourier theory. - Springer Verlag, 1989. - (Universitext).
Classical tessallations and three-manifolds. - Springer Verlag, 1987. - (Universitext).
Geometries and groups. - Springer Verlag, 1987. - (Universitext).
Bieberbach groups and flat manifolds. - Springer Verlag, 1986. - (Universitext).
Lectures on number theory. - Springer Verlag, 1986. - (Universitext).
Cohomology of sheaves. - Springer Verlag, 1986. - (Universitext).
Topology and analysis. The Atiyah-Singer index formula and Gauge-Theoretic physics. - Springer Verlag, 1985. - (Universitext).
Beginner's course in topology: geometric chapters. - Springer Verlag, 1984. - (Universitext).
The non-Euclidean, hyperbolic plane, its structure and consistency. - Springer Verlag, 1981. - (Universitext).
Complex manifold without potential theory (with and appendix on the geometry of characteristic classes). Second edition and revises printing. - Springer Verlag, 1979. - (Universitext).
A mathematical introduction to fluid mechanics. - Springer Verlag, 1979. - (Universitext).
Number fields. - Springer Verlag, 1977. - (Universitext).