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Comprehensive Mathematics for Computer Scientists 1: Sets and Numbers, Graphs and Algebra, Logic and Machines, Linear Geometry (Universitext) - Softcover

 
9783540368731: Comprehensive Mathematics for Computer Scientists 1: Sets and Numbers, Graphs and Algebra, Logic and Machines, Linear Geometry (Universitext)

Synopsis

Contains all the mathematics that computer scientists need to know in one place.

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From the Back Cover

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.

Review

From the reviews:

"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)

"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)

From the reviews of the second edition:

"As the title of this book suggests, it covers a broad range of topics in mathematics; it is intended for use as an introductory textbook for computer science undergraduates. ... It may be suitable for people who are already familiar with the subject and need a reference to quickly check definitions and theorems." (I-Lun Tseng, ACM Computing Reviews, Vol. 49 (4), April, 2008)

"About this title" may belong to another edition of this title.

  • PublisherSpringer
  • Publication date2006
  • ISBN 10 3540368736
  • ISBN 13 9783540368731
  • BindingPaperback
  • LanguageEnglish
  • Edition number2
  • Number of pages402

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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Contains all the mathematics that computer scientists need to know in one place. 404 pp. Englisch. Seller Inventory # 9783540368731

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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - A second edition of a book is a success and an obligation at the same time. We are satis ed that a number of university courses have been orga' nized on the basis of the rst volume of Comprehensive Mathematics for Computer Scientists. The instructors recognized that the self'contained presentation of a broad specturm of mathematical core topics is a rm point of departure for a sustainable formal education in computer sci' ence. We feel obliged to meet the valuable feedback of the responsible in' structors of such courses, in particular of Joel Young (Computer Science Department, Brown University) who has provided us with numerous re' marks on misprints, errors, or obscurities. We would like to express our gratitude for these collaborative contributions. We have reread the entire text and not only eliminated identi ed errors, but also given some addi' tional examples and explications to statements and proofs which were exposed in a too shorthand style. A second edition of the second volume will be published as soon as the errata, the suggestions for improvements, and the publisher's strategy are in harmony. Seller Inventory # 9783540368731

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Kartoniert / Broschiert. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. A self-contained comprehensive presentation of mathematics for computer scientistsText is complemented by an online university courseThe second edition has been carefully re-written and many examples have been addedContains all t. Seller Inventory # 4888401

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