Concrete Mathematics

A Foundation for Computer Science

Author: Ronald L. Graham,Donald Ervin Knuth,Oren Patashnik

Publisher: Addison-Wesley Professional

ISBN: 9780201558029

Category: Computers

Page: 657

View: 3511

This book, updated and improved, 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-looking sums, to solve complex recurrence relations, and to discover subtle patterns in data. It is an indispensable text and reference, not only for computer scientists but for all technical professionals in virtually every discipline.

Companion to Concrete Mathematics

Author: Z. A. Melzak

Publisher: Courier Corporation

ISBN: 0486457818

Category: Mathematics

Page: 683

View: 5824

A two-volume treatment in a single binding, this supplementary text stresses intuitive appeal and ingenuity. It employs physical analogies, encourages problem formulation, and supplies problem-solving methods. 1973 and 1976 editions.

Simplified Reinforced Concrete Mathematics Derivation of Simple, Universal Formulas, and Application of Same to Beams, Columns and Arches

With Nomographic Computing Device (Classic Reprint)

Author: Melvin D Casler

Publisher: Forgotten Books

ISBN: 9780332797892


Page: 78

View: 2924

Excerpt from Simplified Reinforced Concrete Mathematics Derivation of Simple, Universal Formulas, and Application of Same to Beams, Columns and Arches: With Nomographic Computing Device Elementary Discussion of Some of the Broader Questions of Principles and Policies; Referring to Various Impor tant Problems and Factors of the Subject which are Outside of the Realm of Mathematics. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

The Concrete Tetrahedron

Symbolic Sums, Recurrence Equations, Generating Functions, Asymptotic Estimates

Author: Manuel Kauers,Peter Paule

Publisher: Springer Science & Business Media

ISBN: 9783709104453

Category: Mathematics

Page: 203

View: 7218

The book treats four mathematical concepts which play a fundamental role in many different areas of mathematics: symbolic sums, recurrence (difference) equations, generating functions, and asymptotic estimates. Their key features, in isolation or in combination, their mastery by paper and pencil or by computer programs, and their applications to problems in pure mathematics or to "real world problems" (e.g. the analysis of algorithms) are studied. The book is intended as an algorithmic supplement to the bestselling "Concrete Mathematics" by Graham, Knuth and Patashnik.

Logic, Language, Information, and Computation

24th International Workshop, WoLLIC 2017, London, UK, July 18-21, 2017, Proceedings

Author: Juliette Kennedy,Ruy J.G.B. de Queiroz

Publisher: Springer

ISBN: 3662553864

Category: Mathematics

Page: 401

View: 1849

Edited in collaboration with FoLLI, the Association of Logic, Language and Information this book constitutes the refereed proceedings of the 24th Workshop on Logic, Language, Information and Communication, WoLLIC 2017, held in London, UK, in August 2017. The 28 contributed papers were carefully reviewed and selected from 61 submissions. They cover interdisciplinary research in pure and applied logic, aiming at interactions between logic and the sciences related to information and computation.

Relationen und Graphen

Author: Gunther Schmidt,Thomas Ströhlein

Publisher: Springer-Verlag

ISBN: 3642836089

Category: Mathematics

Page: 306

View: 561

Dieses Buch gibt eine neuartige systematische Darstellung der Diskreten Mathematik; sie orientiert sich an Methoden der Relationenalgebra. Ähnlich wie man es sonst nur für die weit entwickelte Analysis im kontinuierlichen Fall und die Matrizenrechnung gewohnt ist, stellt dieses Buch auch für die Behandlung diskreter Probleme geeignete Techniken und Hilfsmittel sowie eine einheitliche Theorie bereit. Die einzelnen Kapitel beginnen jeweils mit anschaulichen und motivierenden Beispielen und behandeln anschließend den Stoff in mathematischer Strenge. Es folgen jeweils praktische Anwendungen. Diese entstammen der Semantik der Programmierung, der Programmverifikation, dem Datenbankbereich, der Spieltheorie oder der Theorie der Zuordnungen und Überdeckungen aus der Graphentheorie; sie reichen aber auch bis zu rein mathematischen "Anwendungen" wie der transfiniten Induktion. Im Anhang ist dem Buch eine Einführung in die Boolesche Algebra und in die Axiomatik der Relationenalgebra beigegeben, sowie ein Abriß der Fixpunkt- und Antimorphismen-Theorie.

Diskrete Mathematik

Author: Martin Aigner

Publisher: Springer-Verlag

ISBN: 3322942627

Category: Mathematics

Page: 316

View: 4195

Großer Wert wird auf die Übungen gelegt, die etwa ein Viertel des Textes ausmachen. Das Buch eignet sich für Lehrveranstaltungen im Bereich Diskrete Mathematik, Kombinatorik, Graphen und Algorithmen.

Discrete Mathematics

Author: Martin Aigner

Publisher: American Mathematical Soc.

ISBN: 9780821886151

Category: Mathematics

Page: 388

View: 3039

The advent of fast computers and the search for efficient algorithms revolutionized combinatorics and brought about the field of discrete mathematics. This book is an introduction to the main ideas and results of discrete mathematics, and with its emphasis on algorithms it should be interesting to mathematicians and computer scientists alike. The book is organized into three parts: enumeration, graphs and algorithms, and algebraic systems. There are 600 exercises with hints andsolutions to about half of them. The only prerequisites for understanding everything in the book are linear algebra and calculus at the undergraduate level. Praise for the German edition ... This book is a well-written introduction to discrete mathematics and is highly recommended to every student ofmathematics and computer science as well as to teachers of these topics. --Konrad Engel for MathSciNet Martin Aigner is a professor of mathematics at the Free University of Berlin. He received his PhD at the University of Vienna and has held a number of positions in the USA and Germany before moving to Berlin. He is the author of several books on discrete mathematics, graph theory, and the theory of search. The Monthly article Turan's graph theorem earned him a 1995 Lester R. Ford Prize of theMAA for expository writing, and his book Proofs from the BOOK with Gunter M. Ziegler has been an international success with translations into 12 languages.

Algorithmische Geometrie

Grundlagen, Methoden, Anwendungen

Author: Rolf Klein

Publisher: Springer-Verlag

ISBN: 354027619X

Category: Computers

Page: 392

View: 749

Differentiating Math Instruction

Strategies That Work for K-8 Classrooms!

Author: William N. Bender

Publisher: Corwin Press

ISBN: 9780761931485

Category: Education

Page: 150

View: 1581

Provides teachers with strategies for differentiating math instruction for the K-8 classroom.

Discrete Mathematics

Author: Jean Gallier

Publisher: Springer Science & Business Media

ISBN: 9781441980472

Category: Mathematics

Page: 466

View: 5086

This books gives an introduction to discrete mathematics for beginning undergraduates. One of original features of this book is that it begins with a presentation of the rules of logic as used in mathematics. Many examples of formal and informal proofs are given. With this logical framework firmly in place, the book describes the major axioms of set theory and introduces the natural numbers. The rest of the book is more standard. It deals with functions and relations, directed and undirected graphs, and an introduction to combinatorics. There is a section on public key cryptography and RSA, with complete proofs of Fermat's little theorem and the correctness of the RSA scheme, as well as explicit algorithms to perform modular arithmetic. The last chapter provides more graph theory. Eulerian and Hamiltonian cycles are discussed. Then, we study flows and tensions and state and prove the max flow min-cut theorem. We also discuss matchings, covering, bipartite graphs.

Hidden Dimensions in the Professional Development of Mathematics Teachers: In-Service Education for and With Teachers

Author: B. Roesken

Publisher: Springer Science & Business Media

ISBN: 9460914330

Category: Education

Page: 171

View: 6063

Professional development is often determined by black and white thinking. Either issues are considered as being good or bad, or statements like teachers should or teachers must are transported. However, it is easily forgotten from which perspective the judgment is taken, surely it is not the teacher’s one. Profoundly respecting and cherishing the teachers and their needs, allows for arriving at a vision of professional development that is for and with teachers, instead being simply about them. This book presents the field of mathematics teacher professional development both from a theoretical and an empirical perspective. In particular, the initiative Mathematics Done Differently that has been run in Germany is presented, in whose context the data of the empirical study was gathered. The empirical findings led to postulating a model describing teachers’ individual growth pathways and to providing implications for constructing practices that are based on what teachers really need.

First Steps for Math Olympians

Using the American Mathematics Competitions

Author: J. Douglas Faires

Publisher: MAA

ISBN: 9780883858240

Category: Mathematics

Page: 307

View: 4230

Provide students with the tools to solve problems that are found on mathematical problem-solving exams.

Die enttäuschte Erkenntnis

Paramathematische Denkzettel

Author: Alfred Schreiber

Publisher: BOD GmbH DE

ISBN: 3937219684

Category: Fiction

Page: 216

View: 6256

Discovering Mathematics with Magma

Reducing the Abstract to the Concrete

Author: Wieb Bosma,John Cannon

Publisher: Springer Science & Business Media

ISBN: 3540376348

Category: Computers

Page: 364

View: 3785

Based on the ontology and semantics of algebra, the computer algebra system Magma enables users to rapidly formulate and perform calculations in abstract parts of mathematics. Edited by the principal designers of the program, this book explores Magma. Coverage ranges from number theory and algebraic geometry, through representation theory and group theory to discrete mathematics and graph theory. Includes case studies describing computations underpinning new theoretical results.


Wie wir lernen, die Welt so zu sehen, wie sie wirklich ist

Author: Hans Rosling,Anna Rosling Rönnlund,Ola Rosling

Publisher: Ullstein Buchverlage

ISBN: 3843717451

Category: Science

Page: 350

View: 8714

Es wird alles immer schlimmer, eine schreckliche Nachricht jagt die andere: Die Reichen werden reicher, die Armen ärmer. Es gibt immer mehr Kriege, Gewaltverbrechen, Naturkatastrophen. Viele Menschen tragen solche beängstigenden Bilder im Kopf. Doch sie liegen damit grundfalsch. Unser Gehirn verführt uns zu einer dramatisierenden Weltsicht, die mitnichten der Realität entspricht, wie der geniale Statistiker und Wissenschaftler Hans Rosling erklärt. Wer das Buch gelesen hat, wird • ein sicheres, auf Fakten basierendes Gerüst besitzen, um die Welt so zu sehen, wie sie wirklich ist • die zehn gängigsten Arten von aufgebauschten Geschichten erkennen • bessere Entscheidungen treffen können • wahre Factfulness erreichen – jene offene, neugierige und entspannte Geisteshaltung, in der Sie nur noch Ansichten teilen und Urteile fällen, die auf soliden Fakten basieren