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Title The Language of Mathematics
Author Keith Devlin
Publisher Macmillan
Release Date 2000-03-13
Category Mathematics
Total Pages 344
ISBN 0805072543
Language English, Spanish, and French
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Book Summary:

Award-winning author Keith Devlin reveals the vital role mathematics plays in our eternal quest to understand who we are and the world we live in. More than just the study of numbers, mathematics provides us with the eyes to recognize and describe the hidden patterns of life.

The Language Of Mathematics by Mohan Ganesalingam

Title The Language of Mathematics
Author Mohan Ganesalingam
Publisher Springer
Release Date 2013-03-14
Category Computers
Total Pages 260
ISBN 9783642370120
Language English, Spanish, and French
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Book Summary:

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

The Language Of Mathematics by Robert L. Baber

Title The Language of Mathematics
Author Robert L. Baber
Publisher John Wiley & Sons
Release Date 2011-09-09
Category Mathematics
Total Pages 440
ISBN 9781118061763
Language English, Spanish, and French
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Book Summary:

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.

Title The Language of Mathematics
Author Bill Barton
Publisher Springer Science & Business Media
Release Date 2007-12-24
Category Education
Total Pages 186
ISBN 9780387728599
Language English, Spanish, and French
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Book Summary:

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.

Title The Language of Mathematics Education
Author Shannon W. Dingman
Publisher BRILL
Release Date 2019-08-26
Category Education
Total Pages 140
ISBN 9789004412651
Language English, Spanish, and French
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Book Summary:

The Language of Mathematics Education provides definitions, summaries, and bibliographic references for over 100 key terms and concepts commonly used in mathematics teaching and learning.

Basic Language Of Mathematics by Juan Jorge Schäffer

Title Basic Language of Mathematics
Author Juan Jorge Schäffer
Publisher World Scientific
Release Date 2014-05-16
Category Mathematics
Total Pages 320
ISBN 9789814596114
Language English, Spanish, and French
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Book Summary:

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

Title The Mathematics of Language
Author Marcus Kracht
Publisher Walter de Gruyter
Release Date 2011-05-12
Category Language Arts & Disciplines
Total Pages 605
ISBN 9783110895667
Language English, Spanish, and French
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Book Summary:

This book studies language(s) and linguistic theories from a mathematical point of view. Starting with ideas already contained in Montague's work, it develops the mathematical foundations of present day linguistics. It equips the reader with all the background necessary to understand and evaluate theories as diverse as Montague Grammar, Categorial Grammar, HPSG and GB. The mathematical tools are mainly from universal algebra and logic, but no particular knowledge is presupposed beyond a certain mathematical sophistication that is in any case needed in order to fruitfully work within these theories. The presentation focuses on abstract mathematical structures and their computational properties, but plenty of examples from different natural languages are provided to illustrate the main concepts and results. In contrast to books devoted to so-called formal language theory, languages are seen here as semiotic systems, that is, as systems of signs. A language sign correlates form with meaning. Using the principle of compositionality it is possible to gain substantial insight into the interaction between form and meaning in natural languages.

Title An Introduction to the Language of Mathematics
Author Frédéric Mynard
Publisher Springer
Release Date 2018-11-24
Category Mathematics
Total Pages 185
ISBN 9783030006419
Language English, Spanish, and French
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Book Summary:

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.

Title The Language of Mathematics
Author Lauris Weber
Publisher Unknown
Release Date 2003
Category Algebra
Total Pages 114
ISBN 187622309X
Language English, Spanish, and French
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Book Summary:

A resource for students unfamiliar with the terminology and language applied in mathematics. The book provides vocabulary lists and definitions, mathematical questions concentrating on vocabulary, crosswords, word searches and more for vocabulary reinforcement. 10 units cover the major aspects of high school mathematics.

That S Maths by Peter Lynch

Title That s Maths
Author Peter Lynch
Publisher Gill & Macmillan Ltd
Release Date 2016-10-14
Category Mathematics
Total Pages 344
ISBN 9780717169566
Language English, Spanish, and French
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Book Summary:

From atom bombs to rebounding slinkies, open your eyes to the mathematical magic in the everyday. Mathematics isn’t just for academics and scientists, a fact meteorologist and blogger Peter Lynch has spent the past several years proving through his Irish Times newspaper column and blog, That’s Maths. Here, he shows how maths is all around us, with chapters on the beautiful equations behind designing a good concert venue, predicting the stock market and modelling the atom bomb, as well as playful meditations on everything from coin-stacking to cartography. If you left school thinking maths was boring, think again!

Title Literacy Strategies for Improving Mathematics Instruction
Author Joan M. Kenney
Publisher ASCD
Release Date 2005
Category Education
Total Pages 113
ISBN 9781416602309
Language English, Spanish, and French
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Book Summary:

Provides teachers with classroom-proven ways to prepare students to be successful math learners by teaching the vocabulary and comprehension skills needed to understand mathematics.

Title Teaching Mathematics to English Language Learners
Author Gladis Kersaint
Publisher Routledge
Release Date 2014-06-05
Category Education
Total Pages 178
ISBN 9781136227592
Language English, Spanish, and French
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Book Summary:

Today's mathematics classrooms increasingly include students for whom English is a second language. Teaching Mathematics to English Language Learners provides readers a comprehensive understanding of both the challenges that face English language learners (ELLs) and ways in which educators might address them in the secondary mathematics classroom. Framed by a research perspective, Teaching Mathematics to English Language Learners presents practical instructional strategies for engaging learners that can be incorporated as a regular part of instruction. The authors offer context-specific strategies for everything from facilitating classroom discussions with all students, to reading and interpreting math textbooks, to tackling word problems. A fully annotated list of math web and print resources completes the volume, making this a valuable reference to help mathematics teachers meet the challenges of including all learners in effective instruction. Features and updates to this new edition include: An updated and streamlined Part 1 provides an essential overview of ELL theory in a mathematics specific context. Additional practical examples of mathematics problems and exercises make turning theory into practice easy when teaching ELLs New pedagogical elements in Part 3 include tips on harnessing new technologies, discussion questions and reflection points. New coverage of the Common Core State Standards, as well as updates to the web and print resources in Part 4.

Title The Language of the Universe
Author Colin Stuart
Publisher Kings Road Publishing
Release Date 2019-08-22
Category Juvenile Nonfiction
Total Pages 80
ISBN 9781787416079
Language English, Spanish, and French
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Book Summary:

From atoms to beehives to the movement of the planets, everything around us is buzzing with maths. So how does this language of numbers, symbols and equations make every single thing in our universe tick like an unseen clock? Visualise cosmic distances, discover the geometry in nature and marvel at the wonders of technology. Learn about mathematics in an extraordinary new light. Stunning surrealist artwork by Ximo Abadía meets easy-to-read informative text by science writer Colin Stuart to create highly engaging content that will inspire future engineers, mathematicians and scientists.

Introduction To Formal Languages by György E. Révész

Title Introduction to Formal Languages
Author György E. Révész
Publisher Courier Corporation
Release Date 2015-03-17
Category Mathematics
Total Pages 208
ISBN 9780486169378
Language English, Spanish, and French
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Book Summary:

Covers all areas, including operations on languages, context-sensitive languages, automata, decidability, syntax analysis, derivation languages, and more. Numerous worked examples, problem exercises, and elegant mathematical proofs. 1983 edition.

Title The Language of Mathematics
Author Frank Land
Publisher Unknown
Release Date 1963
Category
Total Pages 64
ISBN OCLC:61042313
Language English, Spanish, and French
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Book Summary:

Title How We Understand Mathematics
Author Jacek Woźny
Publisher Springer
Release Date 2018-04-25
Category Mathematics
Total Pages 118
ISBN 9783319776880
Language English, Spanish, and French
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Book Summary:

This volume examines mathematics as a product of the human mind and analyzes the language of "pure mathematics" from various advanced-level sources. Through analysis of the foundational texts of mathematics, it is demonstrated that math is a complex literary creation, containing objects, actors, actions, projection, prediction, planning, explanation, evaluation, roles, image schemas, metonymy, conceptual blending, and, of course, (natural) language. The book follows the narrative of mathematics in a typical order of presentation for a standard university-level algebra course, beginning with analysis of set theory and mappings and continuing along a path of increasing complexity. At each stage, primary concepts, axioms, definitions, and proofs will be examined in an effort to unfold the tell-tale traces of the basic human cognitive patterns of story and conceptual blending. This book will be of interest to mathematicians, teachers of mathematics, cognitive scientists, cognitive linguists, and anyone interested in the engaging question of how mathematics works and why it works so well.

Geometry by John Tabak

Title Geometry
Author John Tabak
Publisher Infobase Publishing
Release Date 2009-01-01
Category Geometry
Total Pages 241
ISBN 9780816068760
Language English, Spanish, and French
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Book Summary:

Presents a survey of the history and evolution of the branch of mathematics labeled geometry, including useful applications and notable mathematicians in this area.

Language And Mathematics by Marcel Danesi

Title Language and Mathematics
Author Marcel Danesi
Publisher Walter de Gruyter GmbH & Co KG
Release Date 2016-06-06
Category Language Arts & Disciplines
Total Pages 344
ISBN 9781501500367
Language English, Spanish, and French
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Book Summary:

This book explores the many disciplinary and theoretical links between language, linguistics, and mathematics. It examines trends in linguistics, such as structuralism, conceptual metaphor theory, and other relevant theories,to show that language and mathematics have a similar structure, but differential functions, even though one without the other would not exist.

Title The Language of Mathematics by Frank Land
Author Frank Land
Publisher Unknown
Release Date 1960
Category
Total Pages 86
ISBN OCLC:669176238
Language English, Spanish, and French
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Book Summary:

Title How Language Informs Mathematics
Author Dirk Damsma
Publisher BRILL
Release Date 2019-11-11
Category Political Science
Total Pages 226
ISBN 9789004395497
Language English, Spanish, and French
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Book Summary:

In How Language Informs Mathematics Dirk Damsma shows how Hegel’s and Marx’s dialectics allow us to understand the structure and nature of mathematical and capitalist systems. Knowledge of such systems allows for an innovative approach to economic modelling.