Mathematical Tools for Physisists is a unique collection of 18 review articles, each one written by a renowned expert of its field. Their professional style will be beneficial for advanced students as well as for the scientist at work. The first may find a comprehensive introduction while the latter use it as a quick reference.The contributions range from fundamental methods right up to the latest applications, including:Algebraic/ analytic / geometric methodsSymmetries and conservation lawsMathematical modellingQuantum computationGreat attention was paid to ensuring fast access to the information, and each carefully reviewed article features:an abstracta detailed table of contentscontinuous cross-referencingreferences to the most relevant publications in the field, andsuggestions for further reading, both introductory as well as highly specialized.In addition, a comprehensive index provides easy access to the enormous number of key words beyond the headlines.