This book presents an extensive set of tools for solving basic numerical problems with verification of the results using the scientific computer language PASCAL-XSC. It contains implementations of algorithms and many examples and exercises. Some topics covered are usually not found in standard numerical analysis texts. It is written for engineers, mathematicians and scientists working in scientific computing.

Autorentext
Prof. Dr. Ulrich Kulisch (Karlsruhe) ist auf dem Gebiet der Numerischen Mathematik tätig. Prof. Dr. Dietmar Ratz ist Studiengangsleiter Wirtschaftsinformatik an der Dualen Hochschule Baden-Württemberg (DHBW) Karlsruhe und lehrt als apl. Professor auch am Karlsruher Institut für Technologie (KIT).

Inhalt
1 Introduction.- 1 Introduction.- I Preliminaries.- 2 The Features of PASCALXSC.- 3 Mathematical Preliminaries.- II One-Dimensional Problems.- 4 Evaluation of Polynomials.- 5 Automatic Differentiation.- 6 Nonlinear Equations in One Variable.- 7 Global Optimization.- 8 Evaluation of Arithmetic Expressions.- 9 Zeros of Complex Polynomials.- III Multi-Dimensional Problems.- 10 Linear Systems of Equations.- 11 Linear Optimization.- 12 Automatic Differentiation for Gradients, Jacobians, and Hessians.- 13 Nonlinear Systems of Equations.- 14 Global Optimization.- A Utility Modules.- A.l Module butil.- A.2 Module rutil.- A.3 Module iutil.- A.4 Module mviutil.- Index of Special Symbols.