Plenary -- Computational Discrete Geometry -- Exploiting Structured Sparsity in Large Scale Semidefinite Programming Problems -- Reliable and Efficient Geometric Computing -- The Sage Project: Unifying Free Mathematical Software to Create a Viable Alternative to Magma, Maple, Mathematica and MATLAB -- Computation of Special Functions (Invited) -- Sollya: An Environment for the Development of Numerical Codes -- Validated Special Functions Software -- The Dynamic Dictionary of Mathematical Functions (DDMF) -- Reliable Computing with GNU MPFR -- Computational Group Theory (Invited) -- Simplicial Cohomology of Smooth Orbifolds in GAP -- Computing Polycyclic Quotients of Finitely (L-)Presented Groups via Groebner Bases -- Constructive Membership Testing in Black-Box Classical Groups -- Computational Group Theory (Contributed) -- Towards High-Performance Computational Algebra with GAP -- An Improvement of a Function Computing Normalizers for Permutation Groups -- A GAP Package for Computation with Coherent Configurations -- Computer Algebra (Invited) -- CoCoALib: A C++ Library for Computations in Commutative Algebra... and Beyond -- LinBox Founding Scope Allocation, Parallel Building Blocks, and Separate Compilation -- FGb: A Library for Computing Gröbner Bases -- Fast Library for Number Theory: An Introduction -- Exact Numeric Computation for Algebraic and Geometric Computation (Invited) -- Controlled Perturbation for Certified Geometric Computing with Fixed-Precision Arithmetic -- Exact Geometric and Algebraic Computations in CGAL -- On Solving Systems of Bivariate Polynomials -- Accurate and Reliable Computing in Floating-Point Arithmetic -- Exact Numeric Computation for Algebraic and Geometric Computation (Contributed) -- Deferring Dag Construction by Storing Sums of Floats Speeds-Up Exact Decision Computations Based on Expression Dags -- The Design of Core 2: A Library for Exact Numeric Computation in Geometry and Algebra -- Formal Proof (Invited) -- Introducing HOL Zero -- Euler’s Polyhedron Formula in mizar -- Building a Library of Mechanized Mathematical Proofs: Why Do It? and What Is It Like to Do? -- Linear Programs for the Kepler Conjecture -- A Formal Proof of Pick’s Theorem -- Formal Proof (Contributed) -- Evaluation of Automated Theorem Proving on the Mizar Mathematical Library -- Geometry and Visualization (Invited) -- On Local Deformations of Planar Quad-Meshes -- Construction of Harmonic Surfaces with Prescribed Geometry -- Geometry and Visualization (Contributed) -- A Library of OpenGL-Based Mathematical Image Filters -- MD-jeep: An Implementation of a Branch and Prune Algorithm for Distance Geometry Problems -- TADD: A Computational Framework for Data Analysis Using Discrete Morse Theory -- Groebner Bases and Applications (Invited) -- to Normaliz 2.5 -- Computer Algebra Methods in Tropical Geometry -- Groebner Bases and Applications (Contributed) -- A New Desingularization Algorithm for Binomial Varieties in Arbitrary Characteristic -- An Algorithm of Computing Inhomogeneous Differential Equations for Definite Integrals -- New Algorithms for Computing Primary Decomposition of Polynomial Ideals -- An Automated Confluence Proof for an Infinite Rewrite System Parametrized over an Integro-Differential Algebra -- Operadic Gröbner Bases: An Implementation -- Number Theoretical Software (Invited) -- Magma - A Tool for Number Theory -- Number Theoretical Software (Contributed) -- Enumerating Galois Representations in Sage -- NZMATH 1.0 -- Software for Optimization and Polyhedral Computation (Invited) -- Removing Redundant Quadratic Constraints -- Traversing Symmetric Polyhedral Fans -- C++ Tools for Exploiting Polyhedral Symmetries -- isl: An Integer Set Library for the Polyhedral Model -- Software for Optimization and Polyhedral Computation (Contributed) -- The Reformulation-Optimization Software Engine -- Generating Smooth Lattice Polytopes -- Reliable Computation (Invited) -- Mathemagix: Towards Large Scale Programming for Symbolic and Certified Numeric Computations -- Complex Inclusion Functions in the CoStLy C++ Class Library -- Standardized Interval Arithmetic and Interval Arithmetic Used in Libraries -- Reliable Computation (Contributed) -- Efficient Evaluation of Large Polynomials -- Communicating Functional Expressions from Mathematica to C-XSC.

This book constitutes the refereed proceedings of the Third International Congress on Mathematical Software, ICMS 2010, held in Kobe, Japan in September 2010. The 49 revised full papers presented were carefully reviewed and selected for presentation. The papers are organized in topical sections on computational group theory, computation of special functions, computer algebra and reliable computing, computer tools for mathematical editing and scientific visualization, exact numeric computation for algebraic and geometric computation, formal proof, geometry and visualization, Groebner bases and applications, number theoretical software as well as software for optimization and polyhedral computation.