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Mathematik Fur Informatiker 1
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Book Synopsis Lectures on Proof Verification and Approximation Algorithms by : Ernst W. Mayr
Download or read book Lectures on Proof Verification and Approximation Algorithms written by Ernst W. Mayr and published by Springer. This book was released on 2006-06-08 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the last few years, we have seen quite spectacular progress in the area of approximation algorithms: for several fundamental optimization problems we now actually know matching upper and lower bounds for their approximability. This textbook-like tutorial is a coherent and essentially self-contained presentation of the enormous recent progress facilitated by the interplay between the theory of probabilistically checkable proofs and aproximation algorithms. The basic concepts, methods, and results are presented in a unified way to provide a smooth introduction for newcomers. These lectures are particularly useful for advanced courses or reading groups on the topic.
Book Synopsis Algorithms Unplugged by : Berthold Vöcking
Download or read book Algorithms Unplugged written by Berthold Vöcking and published by Springer Science & Business Media. This book was released on 2010-12-10 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithms specify the way computers process information and how they execute tasks. Many recent technological innovations and achievements rely on algorithmic ideas – they facilitate new applications in science, medicine, production, logistics, traffic, communi¬cation and entertainment. Efficient algorithms not only enable your personal computer to execute the newest generation of games with features unimaginable only a few years ago, they are also key to several recent scientific breakthroughs – for example, the sequencing of the human genome would not have been possible without the invention of new algorithmic ideas that speed up computations by several orders of magnitude. The greatest improvements in the area of algorithms rely on beautiful ideas for tackling computational tasks more efficiently. The problems solved are not restricted to arithmetic tasks in a narrow sense but often relate to exciting questions of nonmathematical flavor, such as: How can I find the exit out of a maze? How can I partition a treasure map so that the treasure can only be found if all parts of the map are recombined? How should I plan my trip to minimize cost? Solving these challenging problems requires logical reasoning, geometric and combinatorial imagination, and, last but not least, creativity – the skills needed for the design and analysis of algorithms. In this book we present some of the most beautiful algorithmic ideas in 41 articles written in colloquial, nontechnical language. Most of the articles arose out of an initiative among German-language universities to communicate the fascination of algorithms and computer science to high-school students. The book can be understood without any prior knowledge of algorithms and computing, and it will be an enlightening and fun read for students and interested adults.
Book Synopsis Concrete Abstractions by : Wolfgang Schreiner
Download or read book Concrete Abstractions written by Wolfgang Schreiner and published by Springer Nature. This book was released on 2023-04-11 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book demonstrates how to formally model various mathematical domains (including algorithms operating in these domains) in a way that makes them amenable to a fully automatic analysis by computer software.The presented domains are typically investigated in discrete mathematics, logic, algebra, and computer science; they are modeled in a formal language based on first-order logic which is sufficiently rich to express the core entities in whose correctness we are interested: mathematical theorems and algorithmic specifications. This formal language is the language of RISCAL, a “mathematical model checker” by which the validity of all formulas and the correctness of all algorithms can be automatically decided. The RISCAL software is freely available; all formal contents presented in the book are given in the form of specification files by which the reader may interact with the software while studying the corresponding book material.
Book Synopsis Graph-Theoretic Concepts in Computer Science by : Gunther Schmidt
Download or read book Graph-Theoretic Concepts in Computer Science written by Gunther Schmidt and published by Springer Science & Business Media. This book was released on 1992-01-29 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Graph-Theoretic Concepts in Computer Science by : Ernst W. Mayr
Download or read book Graph-Theoretic Concepts in Computer Science written by Ernst W. Mayr and published by Springer Science & Business Media. This book was released on 1995-03-17 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of the 20th International Workshop on Graph-Theoretic Concepts in Computer Science (WG '94), held in Herrsching, Germany in June 1994. The volume contains 32 thoroughly revised papers selected from 66 submissions and provides an up-to-date snapshot of the research performed in the field. The topics addressed are graph grammars, treewidth, special graph classes, algorithms on graphs, broadcasting and architecture, planar graphs and related problems, and special graph problems.
Book Synopsis Thinking Programs by : Wolfgang Schreiner
Download or read book Thinking Programs written by Wolfgang Schreiner and published by Springer Nature. This book was released on 2021-10-22 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes some basic principles that allow developers of computer programs (computer scientists, software engineers, programmers) to clearly think about the artifacts they deal with in their daily work: data types, programming languages, programs written in these languages that compute from given inputs wanted outputs, and programs that describe continuously executing systems. The core message is that clear thinking about programs can be expressed in a single universal language, the formal language of logic. Apart from its universal elegance and expressiveness, this “logical” approach to the formal modeling of and reasoning about computer programs has another advantage: due to advances in computational logic (automated theorem proving, satisfiability solving, model checking), nowadays much of this process can be supported by software. This book therefore accompanies its theoretical elaborations by practical demonstrations of various systems and tools that are based on respectively make use of the presented logical underpinnings.
Book Synopsis Information Technology Atlas - Europe by : International Organisations Services
Download or read book Information Technology Atlas - Europe written by International Organisations Services and published by IOS Press. This book was released on 1990 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Jahrestagung by : Gesellschaft für Informatik
Download or read book Jahrestagung written by Gesellschaft für Informatik and published by . This book was released on 1974 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analysis I written by Christiane Tretter and published by Springer-Verlag. This book was released on 2013-03-12 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dieses kompakte Lehrbuch ist der erste von zwei einführenden Bänden in die Analysis. Es zeichnet sich dadurch aus, dass es alle klassischen Themen der Analysis im ersten Semester genau im Umfang einer vierstündigen Vorlesung präsentiert und gleichzeitig auf typische Anfängerschwierigkeiten eingeht. Dazu gehören eine Einführung in die formale Sprache der Mathematik und in die wichtigsten mathematischen Beweistechniken, ebenso wie vorlesungserprobte plakative Erläuterungen von anfangs ungewohnten abstrakten Begriffen. Alle prüfungsrelevanten Inhalte, von Folgen und Reihen über die Differential- und Integralrechnung von Funktionen einer reellen Variablen bis zum Satz von Taylor, werden abgedeckt und mit Beispielen, Gegenbeispielen und Übungsaufgaben illustriert. Durch den geschickten Aufbau werden aber auch grundlegende Zusammenhänge, etwa aus der Topologie, herausgearbeitet. Das Buch wendet sich an alle, die eine erste Vorlesung in Analysis besuchen, also Studierende der Mathematik, der Physik und der Informatik. Es eignet sich aber auch direkt als Vorlesungsmanuskript für Dozierende und für Mathematikbegeisterte vor dem Studium.
Book Synopsis Mathematical Foundations of Computer Science 1981 by : J. Gruska
Download or read book Mathematical Foundations of Computer Science 1981 written by J. Gruska and published by Springer Science & Business Media. This book was released on 1981-08 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Twentieth Anniversary Volume: Discrete & Computational Geometry by : Jacob E. Goodman
Download or read book Twentieth Anniversary Volume: Discrete & Computational Geometry written by Jacob E. Goodman and published by Springer Science & Business Media. This book was released on 2009-03-02 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: This commemorative book contains the 28 major articles that appeared in the 2008 Twentieth Anniversary Issue of the journal Discrete & Computational Geometry, and presents a comprehensive picture of the current state of the field. The articles in this volume, a number of which solve long-outstanding problems in the field, were chosen by the editors of DCG for the importance of their results, for the breadth of their scope, and to show the intimate connections that have arisen between discrete and computational geometry and other areas of both computer science and mathematics. Apart from the articles, the editors present an expanded preface, along with a set of photographs of groups and individuals who have played a major role in the history of the field during the past twenty years.
Book Synopsis Tool Support for System Specification, Development and Verification by : Rudolf Berghammer
Download or read book Tool Support for System Specification, Development and Verification written by Rudolf Berghammer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: The correct development of large / com plex pieces of software demands a thorough structuring of the design process. In a first phase the requirements engineering is relevant for capturing the relevant functionality and its adequate formalization in precise mathematical definitions. Prototyping can can be used as a means for checking the functional behaviour at this early stage of development. The ade quate specification resulting from the first phase is then the basis for the second phase which comprises the derivation of an implementation. This phase requires the use of formal methods and tools to verify/validate the implementation. A prerequisite for applying this approach is to have a suitable mechanical support. This volume contains the proceedings of the International Workshop Tool Support for System Specification, Development and Verification organized June 1 - 4, 1998, in Malente, Germany. This workshop is the third in a series of events devoted to this topic. The first two workshops were held in 1994 in Kiel and 1996 in Bremen, Germany. The aim of this workshop is to provide a forum for researchers interested in the use and development of tools which support the use of mathematical techniques for the specification, development and verification of systems. The workshop covers the spectrum from verification tools to graphical editors and compilers. The program of the workshop included an invited lecture and 26 talks. The invited lecture was given by F.W. von Henke (University ofUlm) on Mechanized formal methods and system design.
Book Synopsis Mathematics for Computer Scientists by : Peter Hartmann
Download or read book Mathematics for Computer Scientists written by Peter Hartmann and published by Springer Nature. This book was released on 2023-10-01 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Symbolic Algebraic Methods and Verification Methods by : Götz Alefeld
Download or read book Symbolic Algebraic Methods and Verification Methods written by Götz Alefeld and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: The usual "implementation” of real numbers as floating point numbers on existing computers has the well-known disadvantage that most of the real numbers are not exactly representable in floating point. Also the four basic arithmetic operations can usually not be performed exactly. During the last years research in different areas has been intensified in order to overcome these problems. (LEDA-Library by K. Mehlhorn et al., "Exact arithmetic with real numbers” by A. Edalat et al., Symbolic algebraic methods, verification methods). The latest development is the combination of symbolic-algebraic methods and verification methods to so-called hybrid methods. – This book contains a collection of worked out talks on these subjects given during a Dagstuhl seminar at the Forschungszentrum für Informatik, Schlo€ Dagstuhl, Germany, presenting the state of the art.
Book Synopsis Graphtheoretic Concepts in Computer Science by : H Noltemeier
Download or read book Graphtheoretic Concepts in Computer Science written by H Noltemeier and published by Springer Science & Business Media. This book was released on 1981-02 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book NIST Serial Holdings, 1990 written by and published by . This book was released on 1990 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Geometry - Methods, Algorithms and Applications by : Hanspeter Bieri
Download or read book Computational Geometry - Methods, Algorithms and Applications written by Hanspeter Bieri and published by Springer Science & Business Media. This book was released on 1991-11-13 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Radiocarbon After Four Decades: An Interdisciplinary Perspective commemorates the 40th anniversary of radiocarbon dating. The volume presents discussions of every aspect of this dating technique, as well as chronicles of its development and views of future advancements and applications. All of the 64 authors played major roles in establishment, development or application of this revolutionary scientific tool. The 35 chapters provide a solid foundation in the essential topics of radiocarbon dating: Historical Perspectives; The Natural Carbon Cycle; Instrumentation and Sample Preparation; Hydrology; Old World Archaeology; New World Archaeology; Earth Sciences; and Biomedical Applications.
