Comprehensive Mathematics for Computer Scientists 1: Sets and Numbers, Graphs and Algebra, Logic and Machines, Linear Geometry - Couverture souple

Mazzola, Guerino B.

Couverture souple

ISBN 10 : 3540368736 ISBN 13 : 9783540368731

Editeur : Springer Berlin Heidelberg, 2010

Synopsis

This two-volume textbook, of which this is the first volume, is a self-contained comprehensive presentation of mathematics for computer scientists. It includes coverage of sets, numbers, graphs, algebra, logic, grammars and machines. It also deals with linear geometry, calculus, ODEs, and special themes such as neural networks, Fourier theory, wavelets, numerical issues, statistics, categories, and manifolds. This text is complemented by an online university course which covers the same theoretical content in a totally different presentation. The student or working scientist who gets involved with this text may at any time consult the online interface which contains applets and other interactive tools. For the second edition the entire text has been carefully re-written, and many examples have been added, as well as illustrations and explications to statements and proofs which were exposed in a too short a style. This makes the book easier for both instructors and students.

A propos du livre

Présentation de l'éditeur

The two-volume textbook Comprehensive Mathematics for Computer Scientists, of which this is the first volume, 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 to handle for instructors as well as for students.

Revue de presse

"This book meets the needs of a sound mathematical education of computer scientists improving formal competence and flexibility. It very well sets forth (and proves) the essential core theory and theorist or executive on all levels of Computer Science and IT industry will appreciate. ... Having passed through all ... the student will have a broad and sufficiently deep mathematical knowledge." --H. Mitsch, Monatshefte für Mathematik, Vol. 145 (2), 2005

"The solution proposed by the authors of this book consists essentially of a course on the foundations of mathematics and computer science. ... As one can see ... the book covers a lot of material. ... One of the good things about the book is that it covers a lot of ground in an extremely systematic way. ... the book is written with conviction, and one can see that the authors made a great effort to make it interesting to their readers." --S. C. Coutinho, The Mathematical Gazette, Vol. 90 (517), 2006

Détails de l'édition

• Éditeur: Springer Berlin Heidelberg
• Date d'édition: 2010
• Langue: anglais
• ISBN 10: 3540368736
• ISBN 13: 9783540368731
• Reliure: Broché
• Numéro d'édition: 2
• Nombre de pages: 402
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne