TY - BOOK

T1 - Comprehensive mathematics for computer scientists 1

T2 - Sets and numbers, graphs and algebra, logic and machines, linear geometry (second edition)

AU - Mazzola, Guerino

AU - Milmeister, Gérard

AU - Weissmann, Jody

PY - 2006/12/1

Y1 - 2006/12/1

N2 - This two-volume textbook Comprehensive Mathematics for Computer Scientists is a self-contained comprehensive presentation of mathematics including sets, numbers, graphs, algebra, logic, grammars, machines, linear geometry, calculus, ODEs, and special themes such as neural networks, Fourier theory, wavelets, numerical issues, statistics, categories, and manifolds. The concept framework is streamlined but defining and proving virtually everything. The style implicitly follows the spirit of recent topos-oriented theoretical computer science. Despite the theoretical soundness, the material stresses a large number of core computer science subjects, such as, for example, a discussion of floating point arithmetic, Backus-Naur normal forms, L-systems, Chomsky hierarchies, algorithms for data encoding, e.g., the Reed-Solomon code. The numerous course examples are motivated by computer science and bear a generic scientific meaning. For the second edition the entire text has been carefully reread, and many examples have been added, as well as illustrations and explications to statements and proofs which were exposed in a too shorthand style. This makes the book more comfortable for instructors as well as for students to handle.

AB - This two-volume textbook Comprehensive Mathematics for Computer Scientists is a self-contained comprehensive presentation of mathematics including sets, numbers, graphs, algebra, logic, grammars, machines, linear geometry, calculus, ODEs, and special themes such as neural networks, Fourier theory, wavelets, numerical issues, statistics, categories, and manifolds. The concept framework is streamlined but defining and proving virtually everything. The style implicitly follows the spirit of recent topos-oriented theoretical computer science. Despite the theoretical soundness, the material stresses a large number of core computer science subjects, such as, for example, a discussion of floating point arithmetic, Backus-Naur normal forms, L-systems, Chomsky hierarchies, algorithms for data encoding, e.g., the Reed-Solomon code. The numerous course examples are motivated by computer science and bear a generic scientific meaning. For the second edition the entire text has been carefully reread, and many examples have been added, as well as illustrations and explications to statements and proofs which were exposed in a too shorthand style. This makes the book more comfortable for instructors as well as for students to handle.

UR - http://www.scopus.com/inward/record.url?scp=84892196435&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84892196435&partnerID=8YFLogxK

U2 - 10.1007/978-3-540-36874-8

DO - 10.1007/978-3-540-36874-8

M3 - Book

AN - SCOPUS:84892196435

SN - 3540368736

SN - 9783540368731

BT - Comprehensive mathematics for computer scientists 1

PB - Springer Berlin Heidelberg

ER -