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Mathematics for Computer Scientists A Practice-Oriented Approach
Author
Title
Mathematics for Computer Scientists [electronic resource] : A Practice-Oriented Approach / by Peter Hartmann.
ISBN
9783658404239
Edition
1st ed. 2023.
Publication
Wiesbaden : Springer Fachmedien Wiesbaden : Imprint: Springer, 2023.
Physical Description
1 online resource (X, 590 p.) 219 illus.
Local Notes
Access is available to the Yale community.
Access and use
Access restricted by licensing agreement.
Summary
This textbook contains the mathematics needed to study computer science in application-oriented computer science courses. The content is based on the author's many years of teaching experience. The translation of the original German 7th edition Mathematik für Informatiker by Peter Hartmann was done with the help of artificial intelligence. A subsequent human revision was done primarily in terms of content. Textbook Features You will always find applications to computer science in this book. Not only will you learn mathematical methods, you will gain insights into the ways of mathematical thinking to form a foundation for understanding computer science. Proofs are given when they help you learn something, not for the sake of proving. Mathematics is initially a necessary evil for many students. The author explains in each lesson how students can apply what they have learned by giving many real world examples, and by constantly cross-referencing math and computer science. Students will see how math is not only useful, but can be interesting and sometimes fun. The Content Sets, logic, number theory, algebraic structures, cryptography, vector spaces, matrices, linear equations and mappings, eigenvalues, graph theory. Sequences and series, continuous functions, differential and integral calculus, differential equations, numerics. Probability theory and statistics. The Target Audiences Students in all computer science-related coursework, and independent learners. The Author Peter Hartmann is a professor at Landshut University of Applied Sciences in the Department of Computer Science. The focus of his teaching is on mathematics for computer scientists and business informatics specialists.
Variant and related titles
Springer ENIN.
Other formats
Printed edition:
Printed edition:
Format
Books / Online
Language
English
Added to Catalog
September 19, 2023
Contents
DISCRETE MATHEMATICS AND LINEAR ALGEBRA
Sets and mappings
Logic
Natural numbers, complete induction, recursion
Some number theory
Algebraic structures
Vector spaces
Matrices
Gaussian algorithm and systems of linear equations
Eigenvalues, eigenvectors and basis transformations
Scalar product and orthogonal maps
Graph theory
ANALYSIS
The real numbers
Sequences and series
Continuous functions
Differential calculus
Integral calculus
Differential equations
Numerical methods
PROBABILITY AND STATISTICS
Probability spaces
Random variables
Important distributions and stochastic processes
Statistical methods
Appendix.
Subjects
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