Basic Language Of Mathematics

Author : Juan Jorge Schäffer
Publisher : World Scientific
Page : 320 pages
File Size : 49,8 Mb
Release : 2014-05-16
Category : Mathematics
ISBN : 9789814596114

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Basic Language of Mathematics by Juan Jorge Schäffer Pdf

This book originates as an essential underlying component of a modern, imaginative three-semester honors program (six undergraduate courses) in Mathematical Studies. In its entirety, it covers Algebra, Geometry and Analysis in One Variable. The book is intended to provide a comprehensive and rigorous account of the concepts of set, mapping, family, order, number (both natural and real), as well as such distinct procedures as proof by induction and recursive definition, and the interaction between these ideas; with attempts at including insightful notes on historic and cultural settings and information on alternative presentations. The work ends with an excursion on infinite sets, principally a discussion of the mathematics of Axiom of Choice and often very useful equivalent statements. Contents:SetsMappingsProperties of MappingsFamiliesRelationsOrdered SetsCompletely Ordered SetsInduction and RecursionThe Natural NumbersFinite SetsFinite SumsCountable SetsSome Algebraic StructuresThe Real Numbers: Complete Ordered FieldsThe Real Number SystemThe Real Numbers: ExistenceInfinite Sets Readership: Undergraduate and graduate students in mathematics; Mathematicians. Key Features:Comprehensive and rigorous in its coverageProvides alternative insights on concepts and definitionsProvides a list of sections with some unusual but insightful approachesKeywords:Sets;Mappings;Families;Order;Natural Numbers;Inductive Proofs;Recursive Definitions;Real Numbers

Author : Bill Barton
Publisher : Springer Science & Business Media
Page : 186 pages
File Size : 46,6 Mb
Release : 2007-12-24
Category : Education
ISBN : 9780387728599

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The Language of Mathematics by Bill Barton Pdf

The book emerges from several contemporary concerns in mathematics, language, and mathematics education. However, the book takes a different stance with respect to language by combining discussion of linguistics and mathematics using examples from each to illustrate the other. The picture that emerges is of a subject that is much more contingent, much more relative, much more subject to human experience than is usually accepted. Another way of expressing this, is that the thesis of the book takes the idea of mathematics as a human creation, and, using the evidence from language, comes to more radical conclusions than most writers allow.

Author : Robert L. Baber
Publisher : John Wiley & Sons
Page : 350 pages
File Size : 47,5 Mb
Release : 2011-09-09
Category : Mathematics
ISBN : 9781118061763

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The Language of Mathematics by Robert L. Baber Pdf

A new and unique way of understanding the translation of concepts and natural language into mathematical expressions Transforming a body of text into corresponding mathematical expressions and models is traditionally viewed and taught as a mathematical problem; it is also a task that most find difficult. The Language of Mathematics: Utilizing Math in Practice reveals a new way to view this process—not as a mathematical problem, but as a translation, or language, problem. By presenting the language of mathematics explicitly and systematically, this book helps readers to learn mathematics¿and improve their ability to apply mathematics more efficiently and effectively to practical problems in their own work. Using parts of speech to identify variables and functions in a mathematical model is a new approach, as is the insight that examining aspects of grammar is highly useful when formulating a corresponding mathematical model. This book identifies the basic elements of the language of mathematics, such as values, variables, and functions, while presenting the grammatical rules for combining them into expressions and other structures. The author describes and defines different notational forms for expressions, and also identifies the relationships between parts of speech and other grammatical elements in English and components of expressions in the language of mathematics. Extensive examples are used throughout that cover a wide range of real-world problems and feature diagrams and tables to facilitate understanding. The Language of Mathematics is a thought-provoking book of interest for readers who would like to learn more about the linguistic nature and aspects of mathematical notation. The book also serves as a valuable supplement for engineers, technicians, managers, and consultants who would like to improve their ability to apply mathematics effectively, systematically, and efficiently to practical problems.

Author : Frédéric Mynard
Publisher : Springer
Page : 185 pages
File Size : 50,9 Mb
Release : 2018-11-24
Category : Mathematics
ISBN : 9783030006419

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An Introduction to the Language of Mathematics by Frédéric Mynard Pdf

This is a textbook for an undergraduate mathematics major transition course from technique-based mathematics (such as Algebra and Calculus) to proof-based mathematics. It motivates the introduction of the formal language of logic and set theory and develops the basics with examples, exercises with solutions and exercises without. It then moves to a discussion of proof structure and basic proof techniques, including proofs by induction with extensive examples. An in-depth treatment of relations, particularly equivalence and order relations completes the exposition of the basic language of mathematics. The last chapter treats infinite cardinalities. An appendix gives some complement on induction and order, and another provides full solutions of the in-text exercises. The primary audience is undergraduate mathematics major, but independent readers interested in mathematics can also use the book for self-study.

Author : Michael C. Gemignani
Publisher : Courier Corporation
Page : 290 pages
File Size : 53,5 Mb
Release : 2004-01-01
Category : Mathematics
ISBN : 9780486435060

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Basic Concepts of Mathematics and Logic by Michael C. Gemignani Pdf

This text emphasizes logic and the theory of sets. Students who take no further courses in the field will find it an excellent resource for developing an appreciation for the nature of mathematics. Others will discover the foundations for future studies — set theory, logic, counting, numbers, functions, and more. 1968 edition. 43 figures. 25 tables.

Author : John Edward Hafstrom
Publisher : Courier Corporation
Page : 209 pages
File Size : 50,9 Mb
Release : 2013-01-01
Category : Mathematics
ISBN : 9780486497297

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Basic Concepts in Modern Mathematics by John Edward Hafstrom Pdf

An in-depth overview of some of the most readily applicable essentials of modern mathematics, this concise volume is geared toward undergraduates of all backgrounds as well as future math majors. Topics include the natural numbers; sets, variables, and statement forms; mappings and operations; groups; relations and partitions; integers; and rational and real numbers. 1961 edition.

Author : Serge Lang
Publisher : Unknown
Page : 475 pages
File Size : 40,8 Mb
Release : 1988-01
Category : Mathematics
ISBN : 3540967877

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Basic Mathematics by Serge Lang Pdf

Author : Lawrence A. Trivieri
Publisher : Harper Collins
Page : 448 pages
File Size : 50,6 Mb
Release : 2011-10-18
Category : Study Aids
ISBN : 9780062115058

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Basic Mathematics by Lawrence A. Trivieri Pdf

Master Your Coursework with Collins College Outlines From fraions, decimals, and geometric measurement to exponents, scientific notation, and an introduion to algebra, the Collins College Outline in Basic Mathematics explores and explains the topics that students will find in introduory mathematics classes. Completely revised and updated by Dr. Lawrence Trivieri, Basic Mathematics includes a test yourself seion with answers and complete explanations at the end of each chapter. Also included are bibliographies for further reading, as well as numerous graphs, charts, and example problems. The Collins College Outlines are a completely revised, in-depth series of study guides for all areas of study, including the Humanities, Social Sciences, Mathematics, Science, Language, History, and Business. Featuring the most up-to-date information, each book is written by a seasoned professor in the field and focuses on a simplified and general overview of the subje for college students and, where appropriate, Advanced Placement students. Each Collins College Outline is fully integrated with the major curriculum for its subje and is a perfe supplement for any standard textbook.

Author : Marcus Kracht
Publisher : Walter de Gruyter
Page : 616 pages
File Size : 41,7 Mb
Release : 2003
Category : Language Arts & Disciplines
ISBN : 3110176203

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The Mathematics of Language by Marcus Kracht Pdf

Table of contents

Author : John Stanley Flavell,Benjamin Belmont Wakelam
Publisher : Unknown
Page : 128 pages
File Size : 53,6 Mb
Release : 1959
Category : Mathematics
ISBN : OCLC:219867495

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Primary Mathematics by John Stanley Flavell,Benjamin Belmont Wakelam Pdf

Author : Jakow Trachtenberg
Publisher : Souvenir Press
Page : 272 pages
File Size : 47,5 Mb
Release : 2011-03-01
Category : Mathematics
ISBN : 9780285639959

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The Trachtenberg Speed System of Basic Mathematics by Jakow Trachtenberg Pdf

Ever find yourself struggling to check a bill or tax on a payslip? The Trachtenberg Speed System provides a course in refining basic mathematics skills to tackle large sums before simplifying to increase concentration and ability in day-to-day arithmetic. The Trachtenberg system has been described as the 'shorthand of mathematics' and only requires the ability to count from one to eleven. Using a series of simplified keys, it allows anyone to master numbers and calculations giving greater speed, ease in handling numbers and increasing accuracy. Jakow Trachtenberg believed that everyone is born with phenomenal abilities to calculate. He devised a set of rules that allows every child to make multiplication, division, addition, subtraction and square-root calculations with unerring accuracy and at remarkable speed. A perfect entry into gaining confidence with numbers.

Author : Judit N. Moschkovich
Publisher : IAP
Page : 199 pages
File Size : 55,6 Mb
Release : 2010-11-01
Category : Education
ISBN : 9781617351617

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Language and Mathematics Education by Judit N. Moschkovich Pdf

Issues of language in mathematics learning and teaching are important for both practical and theoretical reasons. Addressing issues of language is crucial for improving mathematics learning and teaching for students who are bilingual, multilingual, or learning English. These issues are also relevant to theory: studies that make language visible provide a complex perspective of the role of language in reasoning and learning mathematics. What is the relevant knowledge base to consider when designing research studies that address issues of language in the learning and teaching of mathematics? What scholarly literature is relevant and can contribute to research? In order to address issues of language in mathematics education, researchers need to use theoretical perspectives that integrate current views of mathematics learning and teaching with current views on language, discourse, bilingualism, and second language acquisition. This volume contributes to the development of such integrated approaches to research on language issues in mathematics education by describing theoretical perspectives for framing the study of language issues and methodological issues to consider when designing research studies. The volume provides interdisciplinary reviews of the research literature from four very different perspectives: mathematics education (Moschkovich), Cultural-Historical-Activity Theory (Gutiérrez, Sengupta-Irving, & Dieckmann), systemic functional linguistics (Schleppegrell), and assessment (Solano-Flores). This volume offers graduate students and researchers new to the study of language in mathematics education an introduction to resources for conceptualizing, framing, and designing research studies. For those already involved in examining language issues, the volume provides useful and critical reviews of the literature as well as recommendations for moving forward in designing research. Lastly, the volume provides a basis for dialogue across multiple research communities engaged in collaborative work to address these pressing issues.

Author : Thomas H. Sidebotham
Publisher : John Wiley & Sons
Page : 488 pages
File Size : 40,7 Mb
Release : 2003-04-14
Category : Mathematics
ISBN : 9780471461630

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The A to Z of Mathematics by Thomas H. Sidebotham Pdf

Forget the jargon. Forget the anxiety. Just remember themath. In this age of cheap calculators and powerful spreadsheets, whoneeds to know math? The answer is: everyone. Math is all around us.We confront it shopping in the supermarket, paying our bills,checking the sports stats, and working at our jobs. It is also oneof the most fascinating-and useful-subjects. Mastering math canmake a difference in your career, your studies, and your dailylife. If you are among the millions of people who would love tounderstand math but are turned away by fear of its complexity, hereis your salvation. The A to Z of Mathematics makes math simplewithout making it simplistic. Both easy to use and easy to read,the book covers all the topics in basic mathematics. You'll learnthe definitions of such terms as "proportion"and "hexomino," andgrasp the concepts behind algebra, statistics, and other processes.The book's alphabetical arrangement helps you quickly home in onany topic, and its text is rich with stimulating examples,diagrams, and other illustrations that make the discussion crystalclear to every reader. Everyone will find something of interest inthis wide-ranging guide to mathematics. The perfect antidote to math anxiety, this is an invaluableresource for parents and students, home schoolers, teachers, andanyone else who wants to improve his or her math skills anddiscover the amazing relevance of mathematics to the world aroundus.

Author : Graham Lawler
Publisher : Unknown
Page : 0 pages
File Size : 53,5 Mb
Release : 2006
Category : Mathematics
ISBN : 1842850865

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Understanding Maths by Graham Lawler Pdf

Written by an experienced maths teacher, this book will help you master number and data handling. Whether you are just starting at college or university, or a mature student, it explains all you need to know.

Author : Mohan Ganesalingam
Publisher : Springer
Page : 260 pages
File Size : 49,7 Mb
Release : 2013-03-14
Category : Computers
ISBN : 9783642370120

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The Language of Mathematics by Mohan Ganesalingam Pdf

The Language of Mathematics was awarded the E.W. Beth Dissertation Prize for outstanding dissertations in the fields of logic, language, and information. It innovatively combines techniques from linguistics, philosophy of mathematics, and computation to give the first wide-ranging analysis of mathematical language. It focuses particularly on a method for determining the complete meaning of mathematical texts and on resolving technical deficiencies in all standard accounts of the foundations of mathematics. "The thesis does far more than is required for a PhD: it is more like a lifetime's work packed into three years, and is a truly exceptional achievement." Timothy Gowers