Mathematik F R Informatiker I
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Mathematik F R Informatiker Ein Praxisbezogenes Lehrbuch
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Author : Peter Hartmann
language : de
Publisher: Vieweg+teubner Verlag
Release Date : 2006
Mathematik F R Informatiker Ein Praxisbezogenes Lehrbuch written by Peter Hartmann and has been published by Vieweg+teubner Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.
Dieses Buch enth lt den Mathematik-Stoff, der f r das Informatik-Studium an Fachhochschulen ben tigt wird. Die Stoffauswahl und Ausf hrlichkeit der Darstellung sind auf die Informatik ausgerichtet und der praxisorientierten Ausbildung an Fachhochschulen angepasst. Das hei t: Sie finden immer wieder konkrete Anwendungen aus der Informatik, so erkennen Sie die N tzlichkeit der Mathematik f r Ihr Fachgebiet. Das Buch zeigt durch die ausf hrliche Motivation der Ergebnisse, durch viele Beispiele, durch das st ndige Aufzeigen von Querbez gen zwischen Mathematik und Informatik und auch durch gelegentliche Ausblicke in die Welt der "richtigen" Mathematik, dass Mathematik nicht nur n tzlich ist, sondern interessant sein kann und sogar Spa macht.
Fundamentals Of Discrete Math For Computer Science
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Author : Tom Jenkyns
language : en
Publisher: Springer
Release Date : 2018-05-03
Fundamentals Of Discrete Math For Computer Science written by Tom Jenkyns and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-03 with Computers categories.
This clearly written textbook presents an accessible introduction to discrete mathematics for computer science students, offering the reader an enjoyable and stimulating path to improve their programming competence. The text empowers students to think critically, to be effective problem solvers, to integrate theory and practice, and to recognize the importance of abstraction. Its motivational and interactive style provokes a conversation with the reader through a questioning commentary, and supplies detailed walkthroughs of several algorithms. This updated and enhanced new edition also includes new material on directed graphs, and on drawing and coloring graphs, in addition to more than 100 new exercises (with solutions to selected exercises). Topics and features: assumes no prior mathematical knowledge, and discusses concepts in programming as and when they are needed; designed for both classroom use and self-study, presenting modular and self-contained chapters that follow ACM curriculum recommendations; describes mathematical processes in an algorithmic manner, often supported by a walkthrough demonstrating how the algorithm performs the desired task; includes an extensive set of exercises throughout the text, together with numerous examples, and shaded boxes highlighting key concepts; selects examples that demonstrate a practical use for the concept in question. Students embarking on the start of their studies of computer science will find this book to be an easy-to-understand and fun-to-read primer, ideal for use in a mathematics course taken concurrently with their first programming course.
Foundation Mathematics For Computer Science
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Author : John Vince
language : en
Publisher: Springer
Release Date : 2015-07-27
Foundation Mathematics For Computer Science written by John Vince and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-27 with Computers categories.
John Vince describes a range of mathematical topics to provide a foundation for an undergraduate course in computer science, starting with a review of number systems and their relevance to digital computers, and finishing with differential and integral calculus. Readers will find that the author's visual approach will greatly improve their understanding as to why certain mathematical structures exist, together with how they are used in real-world applications. Each chapter includes full-colour illustrations to clarify the mathematical descriptions, and in some cases, equations are also coloured to reveal vital algebraic patterns. The numerous worked examples will consolidate comprehension of abstract mathematical concepts. Foundation Mathematics for Computer Science covers number systems, algebra, logic, trigonometry, coordinate systems, determinants, vectors, matrices, geometric matrix transforms, differential and integral calculus, and reveals the names of the mathematicians behind such inventions. During this journey, John Vince touches upon more esoteric topics such as quaternions, octonions, Grassmann algebra, Barycentric coordinates, transfinite sets and prime numbers. Whether you intend to pursue a career in programming, scientific visualisation, systems design, or real-time computing, you should find the author’s literary style refreshingly lucid and engaging, and prepare you for more advanced texts.
Special Topics In Mathematics For Computer Scientists
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Author : Ernst-Erich Doberkat
language : en
Publisher: Springer
Release Date : 2015-11-16
Special Topics In Mathematics For Computer Scientists written by Ernst-Erich Doberkat and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-16 with Mathematics categories.
This textbook addresses the mathematical description of sets, categories, topologies and measures, as part of the basis for advanced areas in theoretical computer science like semantics, programming languages, probabilistic process algebras, modal and dynamic logics and Markov transition systems. Using motivations, rigorous definitions, proofs and various examples, the author systematically introduces the Axiom of Choice, explains Banach-Mazur games and the Axiom of Determinacy, discusses the basic constructions of sets and the interplay of coalgebras and Kripke models for modal logics with an emphasis on Kleisli categories, monads and probabilistic systems. The text further shows various ways of defining topologies, building on selected topics like uniform spaces, Gödel’s Completeness Theorem and topological systems. Finally, measurability, general integration, Borel sets and measures on Polish spaces, as well as the coalgebraic side of Markov transition kernels along with applications to probabilistic interpretations of modal logics are presented. Special emphasis is given to the integration of (co-)algebraic and measure-theoretic structures, a fairly new and exciting field, which is demonstrated through the interpretation of game logics. Readers familiar with basic mathematical structures like groups, Boolean algebras and elementary calculus including mathematical induction will discover a wealth of useful research tools. Throughout the book, exercises offer additional information, and case studies give examples of how the techniques can be applied in diverse areas of theoretical computer science and logics. References to the relevant mathematical literature enable the reader to find the original works and classical treatises, while the bibliographic notes at the end of each chapter provide further insights and discussions of alternative approaches.
Essential Discrete Mathematics For Computer Scientists
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Author : Harry Lewis
language : en
Publisher: Princeton University Press
Release Date : 2019-03-19
Essential Discrete Mathematics For Computer Scientists written by Harry Lewis and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-19 with Mathematics categories.
A more intuitive approach to the mathematical foundation of computer science Discrete mathematics is the basis of much of computer science, from algorithms and automata theory to combinatorics and graph theory. This textbook covers the discrete mathematics that every computer science student needs to learn. Guiding students quickly through thirty-one short chapters that discuss one major topic each, this flexible book can be tailored to fit the syllabi for a variety of courses. Proven in the classroom, Essential Discrete Mathematics for Computer Science aims to teach mathematical reasoning as well as concepts and skills by stressing the art of proof. It is fully illustrated in color, and each chapter includes a concise summary as well as a set of exercises. The text requires only precalculus, and where calculus is needed, a quick summary of the basic facts is provided. Essential Discrete Mathematics for Computer Science is the ideal introductory textbook for standard undergraduate courses, and is also suitable for high school courses, distance education for adult learners, and self-study. The essential introduction to discrete mathematics Features thirty-one short chapters, each suitable for a single class lesson Includes more than 300 exercises Almost every formula and theorem proved in full Breadth of content makes the book adaptable to a variety of courses Each chapter includes a concise summary Solutions manual available to instructors
Mathematics For Computer Scientists
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Author : Peter Hartmann
language : en
Publisher: Springer
Release Date : 2023-05-18
Mathematics For Computer Scientists written by Peter Hartmann and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-18 with Computers categories.
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.
Elementary Numerical Mathematics For Programmers And Engineers
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Author : Gisbert Stoyan
language : en
Publisher: Birkhäuser
Release Date : 2016-11-09
Elementary Numerical Mathematics For Programmers And Engineers written by Gisbert Stoyan and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-09 with Mathematics categories.
This book covers the basics of numerical methods, while avoiding the definition-theorem-proof style and instead focusing on numerical examples and simple pseudo-codes. The book is divided into ten chapters. Starting with floating number calculations and continuing up to ordinary differential equations, including "Euler backwards". The final chapter discusses practical error estimations. Exercises (including several in MATLAB) are provided at the end of each chapter. Suitable for readers with minimal mathematical knowledge, the book not only offers an elementary introduction to numerical mathematics for programmers and engineers but also provides supporting material for students and teachers of mathematics.
Lectures On Discrete Mathematics For Computer Science
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Author : Khoussainov Bakhadyr M
language : en
Publisher: World Scientific Publishing Company
Release Date : 2012-03-21
Lectures On Discrete Mathematics For Computer Science written by Khoussainov Bakhadyr M and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-21 with Mathematics categories.
This textbook presents fundamental topics in discrete mathematics introduced from the perspectives of a pure mathematician and an applied computer scientist. The synergy between the two complementary perspectives is seen throughout the book; key concepts are motivated and explained through real-world examples, and yet are still formalized with mathematical rigor. The book is an excellent introduction to discrete mathematics for computer science, software engineering, and mathematics students.The first author is a leading mathematician in the area of logic, computability, and theoretical computer science, with more than 25 years of teaching and research experience. The second author is a computer science PhD student at the University of Washington specializing in database systems. The father-and-daughter team merges two different views to create a unified book for students interested in learning discrete mathematics, the connections between discrete mathematics and computer science, and the mathematical foundations of computer science.Readers will learn how to formally define abstract concepts, reason about objects (such as programs, graphs and numbers), investigate properties of algorithms, and prove their correctness. The textbook studies several well-known algorithmic problems including the path problem for graphs and finding the greatest common divisor, inductive definitions, proofs of correctness of algorithms via loop invariants and induction, the basics of formal methods such as propositional logic, finite state machines, counting, probability, as well as the foundations of databases such as relational calculus.
Graph Theoretic Concepts In Computer Science
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Author : Gunther Schmidt
language : en
Publisher: Springer Science & Business Media
Release Date : 1992-01-29
Graph Theoretic Concepts In Computer Science written by Gunther Schmidt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-01-29 with Computers categories.
This volume contains contributions to the 17th International workshop on Graph-Theoretic Concepts in Computer Science (WG '91) held in Southern Bavaria in June 1991. These annual workshops are designed to bring together researchers using graph-theoretic methods to discuss new developments relating to or emerging from a diversity of application fields. The topics covered in this volume include: tree-related problems, graph grammarsand rewriting, complexity, computational geometry, parallel algorithms, vertex orderings, path-oriented algorithms, applications to VLSI, and disjoint cycle problems.
Discrete Mathematics For Computing
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Author : Andrew Vince
language : en
Publisher:
Release Date : 1990
Discrete Mathematics For Computing written by Andrew Vince and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Computers categories.
This text is suitable for an introductory course in the mathematics related to computing, generally referred to as discrete mathematics. Topics covered include set theory, logic, and methods of proof, graphs, digraphs and trees, number systems and matrix algebra, and an introduction to binary codes. Throughout the book, the interrelations between the mathematical structures and their representations is stressed, and use is made of 'action diagrams' as a language-independent means of presenting algorithmic processes. Readers who work through this text will acquire the mathematical knowledge and approach to problem solving required by introductory computing courses, and a sound bases from which to pursue the subject further.