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Discrete Mathematics And Functional Programming
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Book Synopsis Discrete Mathematics and Functional Programming by : Thomas VanDrunen
Download or read book Discrete Mathematics and Functional Programming written by Thomas VanDrunen and published by Franklin Beedle & Associates. This book was released on 2013 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a distinct way to teach discrete mathematics. Since discrete mathematics is crucial for rigorous study in computer science, many texts include applications of mathematical topics to computer science or have selected topics of particular interest to computer science. This text fully integrates discrete mathematics with ......
Book Synopsis Discrete Mathematics Using a Computer by : Cordelia Hall
Download or read book Discrete Mathematics Using a Computer written by Cordelia Hall and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several areas of mathematics find application throughout computer science, and all students of computer science need a practical working understanding of them. These core subjects are centred on logic, sets, recursion, induction, relations and functions. The material is often called discrete mathematics, to distinguish it from the traditional topics of continuous mathematics such as integration and differential equations. The central theme of this book is the connection between computing and discrete mathematics. This connection is useful in both directions: • Mathematics is used in many branches of computer science, in applica tions including program specification, datastructures,design and analysis of algorithms, database systems, hardware design, reasoning about the correctness of implementations, and much more; • Computers can help to make the mathematics easier to learn and use, by making mathematical terms executable, making abstract concepts more concrete, and through the use of software tools such as proof checkers. These connections are emphasised throughout the book. Software tools (see Appendix A) enable the computer to serve as a calculator, but instead of just doing arithmetic and trigonometric functions, it will be used to calculate with sets, relations, functions, predicates and inferences. There are also special software tools, for example a proof checker for logical proofs using natural deduction.
Book Synopsis A Logical Approach to Discrete Math by : David Gries
Download or read book A Logical Approach to Discrete Math written by David Gries and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here, the authors strive to change the way logic and discrete math are taught in computer science and mathematics: while many books treat logic simply as another topic of study, this one is unique in its willingness to go one step further. The book traets logic as a basic tool which may be applied in essentially every other area.
Book Synopsis Elements of Functional Programming by : Chris Reade
Download or read book Elements of Functional Programming written by Chris Reade and published by Addison Wesley Publishing Company. This book was released on 1989 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: Software -- Programming Techniques.
Book Synopsis Discrete Structures, Logic, and Computability by : James L. Hein
Download or read book Discrete Structures, Logic, and Computability written by James L. Hein and published by Jones & Bartlett Learning. This book was released on 2001 with total page 976 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete Structure, Logic, and Computability introduces the beginning computer science student to some of the fundamental ideas and techniques used by computer scientists today, focusing on discrete structures, logic, and computability. The emphasis is on the computational aspects, so that the reader can see how the concepts are actually used. Because of logic's fundamental importance to computer science, the topic is examined extensively in three phases that cover informal logic, the technique of inductive proof; and formal logic and its applications to computer science.
Book Synopsis A Short Course in Discrete Mathematics by : Edward A. Bender
Download or read book A Short Course in Discrete Mathematics written by Edward A. Bender and published by Courier Corporation. This book was released on 2005-01-01 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: What sort of mathematics do I need for computer science? In response to this frequently asked question, a pair of professors at the University of California at San Diego created this text. Its sources are two of the university's most basic courses: Discrete Mathematics, and Mathematics for Algorithm and System Analysis. Intended for use by sophomores in the first of a two-quarter sequence, the text assumes some familiarity with calculus. Topics include Boolean functions and computer arithmetic; logic; number theory and cryptography; sets and functions; equivalence and order; and induction, sequences, and series. Multiple choice questions for review appear throughout the text. Original 2005 edition. Notation Index. Subject Index.
Book Synopsis Discrete Mathematics with Applications by : Thomas Koshy
Download or read book Discrete Mathematics with Applications written by Thomas Koshy and published by Elsevier. This book was released on 2004-01-19 with total page 1079 pages. Available in PDF, EPUB and Kindle. Book excerpt: This approachable text studies discrete objects and the relationsips that bind them. It helps students understand and apply the power of discrete math to digital computer systems and other modern applications. It provides excellent preparation for courses in linear algebra, number theory, and modern/abstract algebra and for computer science courses in data structures, algorithms, programming languages, compilers, databases, and computation. * Covers all recommended topics in a self-contained, comprehensive, and understandable format for students and new professionals * Emphasizes problem-solving techniques, pattern recognition, conjecturing, induction, applications of varying nature, proof techniques, algorithm development and correctness, and numeric computations* Weaves numerous applications into the text* Helps students learn by doing with a wealth of examples and exercises: - 560 examples worked out in detail - More than 3,700 exercises - More than 150 computer assignments - More than 600 writing projects* Includes chapter summaries of important vocabulary, formulas, and properties, plus the chapter review exercises* Features interesting anecdotes and biographies of 60 mathematicians and computer scientists* Instructor's Manual available for adopters* Student Solutions Manual available separately for purchase (ISBN: 0124211828)
Book Synopsis Discrete Mathematics by : Oscar Levin
Download or read book Discrete Mathematics written by Oscar Levin and published by Createspace Independent Publishing Platform. This book was released on 2018-07-30 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.
Download or read book Real World OCaml written by Yaron Minsky and published by "O'Reilly Media, Inc.". This book was released on 2013-11-04 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fast-moving tutorial introduces you to OCaml, an industrial-strength programming language designed for expressiveness, safety, and speed. Through the book’s many examples, you’ll quickly learn how OCaml stands out as a tool for writing fast, succinct, and readable systems code. Real World OCaml takes you through the concepts of the language at a brisk pace, and then helps you explore the tools and techniques that make OCaml an effective and practical tool. In the book’s third section, you’ll delve deep into the details of the compiler toolchain and OCaml’s simple and efficient runtime system. Learn the foundations of the language, such as higher-order functions, algebraic data types, and modules Explore advanced features such as functors, first-class modules, and objects Leverage Core, a comprehensive general-purpose standard library for OCaml Design effective and reusable libraries, making the most of OCaml’s approach to abstraction and modularity Tackle practical programming problems from command-line parsing to asynchronous network programming Examine profiling and interactive debugging techniques with tools such as GNU gdb
Book Synopsis Disjunctive Programming by : Egon Balas
Download or read book Disjunctive Programming written by Egon Balas and published by Springer. This book was released on 2018-11-27 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Disjunctive Programming is a technique and a discipline initiated by the author in the early 1970's, which has become a central tool for solving nonconvex optimization problems like pure or mixed integer programs, through convexification (cutting plane) procedures combined with enumeration. It has played a major role in the revolution in the state of the art of Integer Programming that took place roughly during the period 1990-2010. The main benefit that the reader may acquire from reading this book is a deeper understanding of the theoretical underpinnings and of the applications potential of disjunctive programming, which range from more efficient problem formulation to enhanced modeling capability and improved solution methods for integer and combinatorial optimization. Egon Balas is University Professor and Lord Professor of Operations Research at Carnegie Mellon University's Tepper School of Business.
Book Synopsis Fundamentals of Discrete Math for Computer Science by : Tom Jenkyns
Download or read book Fundamentals of Discrete Math for Computer Science written by Tom Jenkyns and published by Springer Science & Business Media. This book was released on 2012-10-16 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides an engaging and motivational introduction to traditional topics in discrete mathematics, in a manner specifically designed to appeal to computer science students. The text empowers students to think critically, to be effective problem solvers, to integrate theory and practice, and to recognize the importance of abstraction. Clearly structured and interactive in nature, the book presents detailed walkthroughs of several algorithms, stimulating a conversation with the reader through informal commentary and provocative questions. Features: no university-level background in mathematics required; ideally structured for classroom-use and self-study, with modular chapters following ACM curriculum recommendations; describes mathematical processes in an algorithmic manner; contains examples and exercises throughout the text, and highlights the most important concepts in each section; selects examples that demonstrate a practical use for the concept in question.
Book Synopsis Foundations of Discrete Mathematics with Algorithms and Programming by : R. Balakrishnan
Download or read book Foundations of Discrete Mathematics with Algorithms and Programming written by R. Balakrishnan and published by CRC Press. This book was released on 2018-10-26 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete Mathematics has permeated the whole of mathematics so much so it has now come to be taught even at the high school level. This book presents the basics of Discrete Mathematics and its applications to day-to-day problems in several areas. This book is intended for undergraduate students of Computer Science, Mathematics and Engineering. A number of examples have been given to enhance the understanding of concepts. The programming languages used are Pascal and C.
Book Synopsis Concrete Mathematics by : Ronald L. Graham
Download or read book Concrete Mathematics written by Ronald L. Graham and published by Addison-Wesley Professional. This book was released on 1994-02-28 with total page 811 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: Sums Recurrences Integer functions Elementary number theory Binomial coefficients Generating functions Discrete probability Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.
Book Synopsis Mastering Mathematica by : John W. Gray
Download or read book Mastering Mathematica written by John W. Gray and published by Academic Press. This book was released on 1998 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition of Mastering Mathematica focuses on using Mathematica as a programming language, because programming in Mathematica is the best way to use the software to its fullest capacity. The book covers functional programming, imperative programming, rewrite programming, and object-oriented programming. It also addresses the use of Mathematica as a symbolic manipulator and a general tool for knowledge representation. * Focus on four different types of programming styles with Mathematica: functional programming, rewrite (or rule-based) programmng, imperative (or procedural) programming, and object-oriented programming, with many examples of each style * Compatible with Mathematica 3.0 and its programming language * Chapters on graphics programming show how to make the most of the considerable graphics capabilities of Mathematica * Includes coverage of programming needed for creation of Mathematica packages that allow a user to extend the language as needed for particular uses * Applications include: * Polya pattern analysis * Critical points of functions * Object-oriented graph theory * Minimal surfaces * Mathematica-Enhanced CD-ROM Enclosed * Complete text in active Mathematica Notebook files, enhanced for v3.0; Allows you to evaluate complex examples without retyping; Extensive use of the v3.0 math typesetting system * Hyperlink index and table of contents * Instant access to any chapter or topic * Index is automatically merged with the main Mathematica help system forming a master index of all the user's Mathematica related information; Quickly see listings on a given topic from The Mathematica Book, Mastering Mathematica, the Guide to Standard Packages, or any other Help Browswer aware books you have installed
Book Synopsis Programming Mathematics Using MATLAB by : Lisa A. Oberbroeckling
Download or read book Programming Mathematics Using MATLAB written by Lisa A. Oberbroeckling and published by Academic Press. This book was released on 2020-05-09 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing an alternative to engineering-focused resources in the area, Programming Mathematics Using MATLAB® introduces the basics of programming and of using MATLAB® by highlighting many mathematical examples. Emphasizing mathematical concepts through the visualization of programming throughout the book, this useful resource utilizes examples that may be familiar to math students (such as numerical integration) and others that may be new (such as fractals). Additionally, the text uniquely offers a variety of MATLAB® projects, all of which have been class-tested thoroughly, and which enable students to put MATLAB® programming into practice while expanding their comprehension of concepts such as Taylor polynomials and the Gram–Schmidt process. Programming Mathematics Using MATLAB® is appropriate for readers familiar with sophomore-level mathematics (vectors, matrices, multivariable calculus), and is useful for math courses focused on MATLAB® specifically and those focused on mathematical concepts which seek to utilize MATLAB® in the classroom. Provides useful visual examples throughout for student comprehension Includes valuable, class-tested projects to reinforce both familiarity with MATLAB® and a deeper understanding of mathematical principles Offers downloadable MATLAB® scripts to supplement practice and provide useful example
Book Synopsis Topics in Finite and Discrete Mathematics by : Sheldon M. Ross
Download or read book Topics in Finite and Discrete Mathematics written by Sheldon M. Ross and published by Cambridge University Press. This book was released on 2000-07-31 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: A text for engineering students with many examples not normally found in finite mathematics courses.
Book Synopsis The Haskell Road to Logic, Maths and Programming by : Kees Doets
Download or read book The Haskell Road to Logic, Maths and Programming written by Kees Doets and published by College Publications. This book was released on 2004 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Long ago, when Alexander the Great asked the mathematician Menaechmus for a crash course in geometry, he got the famous reply ``There is no royal road to mathematics.'' Where there was no shortcut for Alexander, there is no shortcut for us. Still, the fact that we have access to computers and mature programming languages means that there are avenues for us that were denied to the kings and emperors of yore. The purpose of this book is to teach logic and mathematical reasoning in practice, and to connect logical reasoning with computer programming in Haskell. Haskell emerged in the 1990s as a standard for lazy functional programming, a programming style where arguments are evaluated only when the value is actually needed. Haskell is a marvelous demonstration tool for logic and maths because its functional character allows implementations to remain very close to the concepts that get implemented, while the laziness permits smooth handling of infinite data structures. This book does not assume the reader to have previous experience with either programming or construction of formal proofs, but acquaintance with mathematical notation, at the level of secondary school mathematics is presumed. Everything one needs to know about mathematical reasoning or programming is explained as we go along. After proper digestion of the material in this book, the reader will be able to write interesting programs, reason about their correctness, and document them in a clear fashion. The reader will also have learned how to set up mathematical proofs in a structured way, and how to read and digest mathematical proofs written by others. This is the updated, expanded, and corrected second edition of a much-acclaimed textbook. Praise for the first edition: 'Doets and van Eijck's ``The Haskell Road to Logic, Maths and Programming'' is an astonishingly extensive and accessible textbook on logic, maths, and Haskell.' Ralf Laemmel, Professor of Computer Science, University of Koblenz-Landau
