Arithmetic Its Applications

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Finite Precision Number Systems and Arithmetic

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Author : Peter Kornerup
Publisher : Cambridge University Press
ISBN 13 : 113964355X
Total Pages : 717 pages
Book Rating : 4.1/5 (396 download)

Book Synopsis Finite Precision Number Systems and Arithmetic by : Peter Kornerup

Download or read book Finite Precision Number Systems and Arithmetic written by Peter Kornerup and published by Cambridge University Press. This book was released on 2010-09-30 with total page 717 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamental arithmetic operations support virtually all of the engineering, scientific, and financial computations required for practical applications, from cryptography, to financial planning, to rocket science. This comprehensive reference provides researchers with the thorough understanding of number representations that is a necessary foundation for designing efficient arithmetic algorithms. Using the elementary foundations of radix number systems as a basis for arithmetic, the authors develop and compare alternative algorithms for the fundamental operations of addition, multiplication, division, and square root with precisely defined roundings. Various finite precision number systems are investigated, with the focus on comparative analysis of practically efficient algorithms for closed arithmetic operations over these systems. Each chapter begins with an introduction to its contents and ends with bibliographic notes and an extensive bibliography. The book may also be used for graduate teaching: problems and exercises are scattered throughout the text and a solutions manual is available for instructors.

Advanced Number Theory with Applications

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Author : Richard A. Mollin
Publisher : CRC Press
ISBN 13 : 1420083295
Total Pages : 440 pages
Book Rating : 4.4/5 (2 download)

Book Synopsis Advanced Number Theory with Applications by : Richard A. Mollin

Download or read book Advanced Number Theory with Applications written by Richard A. Mollin and published by CRC Press. This book was released on 2009-08-26 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring one of the most dynamic areas of mathematics, Advanced Number Theory with Applications covers a wide range of algebraic, analytic, combinatorial, cryptographic, and geometric aspects of number theory. Written by a recognized leader in algebra and number theory, the book includes a page reference for every citing in the bibliography and mo

Bounded Arithmetic, Propositional Logic and Complexity Theory

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Author : Jan Krajicek
Publisher : Cambridge University Press
ISBN 13 : 0521452058
Total Pages : 361 pages
Book Rating : 4.5/5 (214 download)

Book Synopsis Bounded Arithmetic, Propositional Logic and Complexity Theory by : Jan Krajicek

Download or read book Bounded Arithmetic, Propositional Logic and Complexity Theory written by Jan Krajicek and published by Cambridge University Press. This book was released on 1995-11-24 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses the deep connections between logic and complexity theory, and lists a number of intriguing open problems.

Topologies on Closed and Closed Convex Sets

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Author : Gerald Beer
Publisher : Springer Science & Business Media
ISBN 13 : 9780792325314
Total Pages : 360 pages
Book Rating : 4.3/5 (253 download)

Book Synopsis Topologies on Closed and Closed Convex Sets by : Gerald Beer

Download or read book Topologies on Closed and Closed Convex Sets written by Gerald Beer and published by Springer Science & Business Media. This book was released on 1993-10-31 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides an introduction to the theory of topologies defined on the closed subsets of a metric space, and on the closed convex subsets of a normed linear space as well. A unifying theme is the relationship between topology and set convergence on the one hand, and set functionals on the other. The text includes for the first time anywhere an exposition of three topologies that over the past ten years have become fundamental tools in optimization, one-sided analysis, convex analysis, and the theory of multifunctions: the Wijsman topology, the Attouch--Wets topology, and the slice topology. Particular attention is given to topologies on lower semicontinuous functions, especially lower semicontinuous convex functions, as associated with their epigraphs. The interplay between convex duality and topology is carefully considered and a chapter on set-valued functions is included. The book contains over 350 exercises and is suitable as a graduate text. This book is of interest to those working in general topology, set-valued analysis, geometric functional analysis, optimization, convex analysis and mathematical economics.

Arithmetic: Its Principles and Application, Etc

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Author : James Hickie (Teacher of Mathematics, Liverpool Mechanics' Institution.)
Publisher :
ISBN 13 :
Total Pages : 342 pages
Book Rating : 4.0/5 (18 download)

Book Synopsis Arithmetic: Its Principles and Application, Etc by : James Hickie (Teacher of Mathematics, Liverpool Mechanics' Institution.)

Download or read book Arithmetic: Its Principles and Application, Etc written by James Hickie (Teacher of Mathematics, Liverpool Mechanics' Institution.) and published by . This book was released on 1862 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics and Its Applications

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Author : Jairo José da Silva
Publisher : Springer
ISBN 13 : 3319630733
Total Pages : 274 pages
Book Rating : 4.3/5 (196 download)

Book Synopsis Mathematics and Its Applications by : Jairo José da Silva

Download or read book Mathematics and Its Applications written by Jairo José da Silva and published by Springer. This book was released on 2017-08-22 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph offers a fresh perspective on the applicability of mathematics in science. It explores what mathematics must be so that its applications to the empirical world do not constitute a mystery. In the process, readers are presented with a new version of mathematical structuralism. The author details a philosophy of mathematics in which the problem of its applicability, particularly in physics, in all its forms can be explained and justified. Chapters cover: mathematics as a formal science, mathematical ontology: what does it mean to exist, mathematical structures: what are they and how do we know them, how different layers of mathematical structuring relate to each other and to perceptual structures, and how to use mathematics to find out how the world is. The book simultaneously develops along two lines, both inspired and enlightened by Edmund Husserl’s phenomenological philosophy. One line leads to the establishment of a particular version of mathematical structuralism, free of “naturalist” and empiricist bias. The other leads to a logical-epistemological explanation and justification of the applicability of mathematics carried out within a unique structuralist perspective. This second line points to the “unreasonable” effectiveness of mathematics in physics as a means of representation, a tool, and a source of not always logically justified but useful and effective heuristic strategies.

Relational Mathematics

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Author : Gunther Schmidt
Publisher : Cambridge University Press
ISBN 13 : 0521762685
Total Pages : 582 pages
Book Rating : 4.5/5 (217 download)

Book Synopsis Relational Mathematics by : Gunther Schmidt

Download or read book Relational Mathematics written by Gunther Schmidt and published by Cambridge University Press. This book was released on 2011 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relational mathematics is to operations research and informatics what numerical mathematics is to engineering: it is intended to help modelling, reasoning, and computing. Its applications are therefore diverse, ranging from psychology, linguistics, decision aid, and ranking to machine learning and spatial reasoning. Although many developments have been made in recent years, they have rarely been shared amongst this broad community of researchers. This comprehensive 2010 overview begins with an easy introduction to the topic, assuming a minimum of prerequisites; but it is nevertheless theoretically sound and up to date. It is suitable for applied scientists, explaining all the necessary mathematics from scratch using a multitude of visualised examples, via matrices and graphs. It ends with tangible results on the research level. The author illustrates the theory and demonstrates practical tasks in operations research, social sciences and the humanities.

A Complete System of Commercial Arithmetic, Its Application to the Principal Branches of Commerce According to the Existing Practices of Trade, & Numerous Rules for Facilitating & Performing Mental Calculations

Download A Complete System of Commercial Arithmetic, Its Application to the Principal Branches of Commerce According to the Existing Practices of Trade, & Numerous Rules for Facilitating & Performing Mental Calculations PDF Online Free

Author : William Tate
Publisher :
ISBN 13 :
Total Pages : 358 pages
Book Rating : 4.3/5 (91 download)

Book Synopsis A Complete System of Commercial Arithmetic, Its Application to the Principal Branches of Commerce According to the Existing Practices of Trade, & Numerous Rules for Facilitating & Performing Mental Calculations by : William Tate

Download or read book A Complete System of Commercial Arithmetic, Its Application to the Principal Branches of Commerce According to the Existing Practices of Trade, & Numerous Rules for Facilitating & Performing Mental Calculations written by William Tate and published by . This book was released on 1837 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Fuzzy Arithmetic

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Author : Michael Hanss
Publisher : Springer Science & Business Media
ISBN 13 : 3540273174
Total Pages : 261 pages
Book Rating : 4.5/5 (42 download)

Book Synopsis Applied Fuzzy Arithmetic by : Michael Hanss

Download or read book Applied Fuzzy Arithmetic written by Michael Hanss and published by Springer Science & Business Media. This book was released on 2005-12-27 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: First book that provides both theory and real world applications of fuzzy arithmetic in a comprehensive style. Provides a well-structured compendium that offers both a deeper knowledge about the theory of fuzzy arithmetic and an extensive view on its applications in the engineering sciences making it useful for graduate courses, researchers and engineers. Presents the basic definitions and fundamental principles of fuzzy arithmetic, derived from fuzzy set theory. Summarizes the state-of-the-art stage of fuzzy arithmetic, offers a comprehensive composition of different approaches including their benefits and drawbacks, and finally, and presents a completely new methodology of implementation of fuzzy arithmetic with particular emphasis on its subsequent application to real-world systems. Concentrates on the application of fuzzy arithmetic to the simulation, analysis and identification of systems with uncertain model parameters, as they appear in various disciplines of engineering science. Focuses on mechanical engineering, geotechnical engineering, biomedical engineering, and control engineering.

Mal'cev, Protomodular, Homological and Semi-Abelian Categories

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Author : Francis Borceux
Publisher : Springer Science & Business Media
ISBN 13 : 9781402019616
Total Pages : 504 pages
Book Rating : 4.0/5 (196 download)

Book Synopsis Mal'cev, Protomodular, Homological and Semi-Abelian Categories by : Francis Borceux

Download or read book Mal'cev, Protomodular, Homological and Semi-Abelian Categories written by Francis Borceux and published by Springer Science & Business Media. This book was released on 2004-02-29 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of the book is to take stock of the situation concerning Algebra via Category Theory in the last fifteen years, where the new and synthetic notions of Mal'cev, protomodular, homological and semi-abelian categories emerged. These notions force attention on the fibration of points and allow a unified treatment of the main algebraic: homological lemmas, Noether isomorphisms, commutator theory. The book gives full importance to examples and makes strong connections with Universal Algebra. One of its aims is to allow appreciating how productive the essential categorical constraint is: knowing an object, not from inside via its elements, but from outside via its relations with its environment. The book is intended to be a powerful tool in the hands of researchers in category theory, homology theory and universal algebra, as well as a textbook for graduate courses on these topics.

A Complete System of Commercial Arithmetic, Its Application to the Principal Branches

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Author : William Tate
Publisher : BoD – Books on Demand
ISBN 13 : 3385616808
Total Pages : 350 pages
Book Rating : 4.3/5 (856 download)

Book Synopsis A Complete System of Commercial Arithmetic, Its Application to the Principal Branches by : William Tate

Download or read book A Complete System of Commercial Arithmetic, Its Application to the Principal Branches written by William Tate and published by BoD – Books on Demand. This book was released on 2024-09-25 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original, first published in 1837.

Computational Number Theory

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Author : Abhijit Das
Publisher : CRC Press
ISBN 13 : 1482205823
Total Pages : 614 pages
Book Rating : 4.4/5 (822 download)

Book Synopsis Computational Number Theory by : Abhijit Das

Download or read book Computational Number Theory written by Abhijit Das and published by CRC Press. This book was released on 2016-04-19 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed from the author's popular graduate-level course, Computational Number Theory presents a complete treatment of number-theoretic algorithms. Avoiding advanced algebra, this self-contained text is designed for advanced undergraduate and beginning graduate students in engineering. It is also suitable for researchers new to the field and pract

Combinatorics

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Author : Nicholas Loehr
Publisher : CRC Press
ISBN 13 : 149878027X
Total Pages : 849 pages
Book Rating : 4.4/5 (987 download)

Book Synopsis Combinatorics by : Nicholas Loehr

Download or read book Combinatorics written by Nicholas Loehr and published by CRC Press. This book was released on 2017-08-10 with total page 849 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics, Second Edition is a well-rounded, general introduction to the subjects of enumerative, bijective, and algebraic combinatorics. The textbook emphasizes bijective proofs, which provide elegant solutions to counting problems by setting up one-to-one correspondences between two sets of combinatorial objects. The author has written the textbook to be accessible to readers without any prior background in abstract algebra or combinatorics. Part I of the second edition develops an array of mathematical tools to solve counting problems: basic counting rules, recursions, inclusion-exclusion techniques, generating functions, bijective proofs, and linear algebraic methods. These tools are used to analyze combinatorial structures such as words, permutations, subsets, functions, graphs, trees, lattice paths, and much more. Part II cover topics in algebraic combinatorics including group actions, permutation statistics, symmetric functions, and tableau combinatorics. This edition provides greater coverage of the use of ordinary and exponential generating functions as a problem-solving tool. Along with two new chapters, several new sections, and improved exposition throughout, the textbook is brimming with many examples and exercises of various levels of difficulty.

Mathematical Constants

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Author : Steven R. Finch
Publisher : Cambridge University Press
ISBN 13 : 9780521818056
Total Pages : 634 pages
Book Rating : 4.8/5 (18 download)

Book Synopsis Mathematical Constants by : Steven R. Finch

Download or read book Mathematical Constants written by Steven R. Finch and published by Cambridge University Press. This book was released on 2003-08-18 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. This book is helpful both to readers seeking information about a specific constant, and to readers who desire a panoramic view of all constants coming from a particular field, for example, combinatorial enumeration or geometric optimization. Unsolved problems appear virtually everywhere as well. This work represents an outstanding scholarly attempt to bring together all significant mathematical constants in one place.

Discrete Mathematics with Applications, Metric Edition

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Author : Susanna Epp
Publisher :
ISBN 13 : 9780357114087
Total Pages : 984 pages
Book Rating : 4.1/5 (14 download)

Book Synopsis Discrete Mathematics with Applications, Metric Edition by : Susanna Epp

Download or read book Discrete Mathematics with Applications, Metric Edition written by Susanna Epp and published by . This book was released on 2019 with total page 984 pages. Available in PDF, EPUB and Kindle. Book excerpt: DISCRETE MATHEMATICS WITH APPLICATIONS, 5th Edition, Metric Edition explains complex, abstract concepts with clarity and precision and provides a strong foundation for computer science and upper-level mathematics courses of the computer age. Author Susanna Epp presents not only the major themes of discrete mathematics, but also the reasoning that underlies mathematical thought. Students develop the ability to think abstractly as they study the ideas of logic and proof. While learning about such concepts as logic circuits and computer addition, algorithm analysis, recursive thinking, computability, automata, cryptography and combinatorics, students discover that the ideas of discrete mathematics underlie and are essential to today's science and technology.

Discrete Mathematics and Its Applications

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Author : Kenneth H. Rosen
Publisher :
ISBN 13 : 9780071244749
Total Pages : 109 pages
Book Rating : 4.2/5 (447 download)

Book Synopsis Discrete Mathematics and Its Applications by : Kenneth H. Rosen

Download or read book Discrete Mathematics and Its Applications written by Kenneth H. Rosen and published by . This book was released on 2007 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: The companion Web site -- To the student -- The foundations : logic, sets, and functions -- The fundamentals : algorithms, the integers, and matrices -- Mathematical reasoning -- Counting -- Advanced counting techniques -- Relations -- Graphs -- Trees -- Boolean algebra -- Modeling computation

Mathematics for the Million

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Author : Lancelot Thomas Hogben
Publisher :
ISBN 13 :
Total Pages : 716 pages
Book Rating : 4.0/5 ( download)

Book Synopsis Mathematics for the Million by : Lancelot Thomas Hogben

Download or read book Mathematics for the Million written by Lancelot Thomas Hogben and published by . This book was released on 1951 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt: