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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 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.

Projects In Higher Education by National Science Foundation (U.S.)

Title Projects in Higher Education
Author National Science Foundation (U.S.)
Publisher Unknown
Release Date 1976
Category Education, Higher
Total Pages 253
ISBN IND:32000006169819
Language English, Spanish, and French
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Book Summary:

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 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.

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.

Basic Skills Year 2 by Peter Howard

Title Basic Skills Year 2
Author Peter Howard
Publisher Unknown
Release Date 1997
Category English language
Total Pages 86
ISBN OCLC:682031224
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.

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

Basic Mathematics by Serge Lang

Title Basic Mathematics
Author Serge Lang
Publisher Unknown
Release Date 1988-01
Category Mathematics
Total Pages 475
ISBN 3540967877
Language English, Spanish, and French
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Book Summary:

Title Resources in education
Author Anonim
Publisher Unknown
Release Date 1988-04
Category Education
Total Pages 86
ISBN MINN:30000004837435
Language English, Spanish, and French
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Book Summary:

Title Basic Mathematics for Biochemists
Author A. Cornish-Bowden
Publisher Springer Science & Business Media
Release Date 2012-12-06
Category Mathematics
Total Pages 138
ISBN 9789401165235
Language English, Spanish, and French
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Book Summary:

Some teachers of biochemistry think it positively beneficial for students to struggle with difficult mathematics. I do not number myself among these people, although I have derived much personal pleasure from the study of mathematics and from applying it to problems that interest me in biochemistry. On the contrary, I think that students choose courses in biochemistry out of interest in biochemistry and that they should not be encumbered with more mathematics than is absolutely required for a proper understanding of biochemistry. This of course includes physical chemistry, because a biochemist ignorant of physical chemistry is no biochemist. I have been guided by these beliefs in writing this book. I have laid heavy emphasis on those topics, such as the use of logarithms, that play an important role in biochemistry and often cause problems in teaching; I have ignored others, such as trigonometry, that one can manage without. The proper treatment of statistics has been more difficult to decide. Although it clearly plays an important part in all experi mental sciences, it is usually preferable to treat it as a subject in its own right and not to try to incorporate it into a course of elementary mathematics. In this book, therefore, I have used a few examples from statistics to illustrate more general points, but I have not discussed it for its own sake.

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
GET BOOK

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 Strategies for Building Academic Vocabulary in Mathematics
Author Christine Dugan
Publisher Shell Education
Release Date 2010-02
Category Education
Total Pages 280
ISBN 1425801277
Language English, Spanish, and French
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Book Summary:

Boost students' mathematics vocabulary with easy-to-implement effective strategies! Sample lessons using each strategy are included for grade spans 1-2, 3-5, 6-8, and K-12 using vocabulary words from standards-based, content-specific units of study. Each notebook includes 25 research-based strategies, differentiation suggestions, assessment strategies, sample word lists including both specialized content and general academic words, and family letters in both English and Spanish. This resource is correlated to College and Career Readiness and other state standards.

Title Mathematics for Biological Scientists
Author Mike Aitken
Publisher Garland Science
Release Date 2009-09-30
Category Science
Total Pages 482
ISBN 9781136843938
Language English, Spanish, and French
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Book Summary:

Mathematics for Biological Scientists is a new undergraduate textbook which covers the mathematics necessary for biology students to understand, interpret and discuss biological questions. The book's twelve chapters are organized into four themes. The first theme covers the basic concepts of mathematics in biology, discussing the mathematics used in biological quantities, processes and structures. The second theme, calculus, extends the language of mathematics to describe change. The third theme is probability and statistics, where the uncertainty and variation encountered in real biological data is described. The fourth theme is explored briefly in the final chapter of the book, which is to show how the 'tools' developed in the first few chapters are used within biology to develop models of biological processes. Mathematics for Biological Scientists fully integrates mathematics and biology with the use of colour illustrations and photographs to provide an engaging and informative approach to the subject of mathematics and statistics within biological science.

Title Basic Mathematics for College Students with Early Integers
Author Alan S. Tussy
Publisher Cengage Learning
Release Date 2014-01-01
Category Mathematics
Total Pages 944
ISBN 9781305142855
Language English, Spanish, and French
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Book Summary:

Offering a uniquely modern, balanced approach, Tussy/Gustafson/Koenig's BASIC COLLEGE MATHEMATICS WITH EARLY INTEGERS, Fifth Edition, integrates the best of traditional drill and practice with the best elements of the reform movement. To many developmental math students, mathematics is like a foreign language. They have difficulty translating the words, their meanings, and how they apply to problem solving. Emphasizing the “language of mathematics,” the text's fully integrated learning process is designed to expand students' reasoning abilities and teach them how to read, write, and think mathematically. It blends instructional approaches that include vocabulary, practice, and well-defined pedagogy with an emphasis on reasoning, modeling, communication, and technology skills. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Title Basic Mathematics for College Students
Author Alan S. Tussy
Publisher Cengage Learning
Release Date 2010-02-04
Category Mathematics
Total Pages 944
ISBN 9781439044421
Language English, Spanish, and French
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Book Summary:

Offering a uniquely modern, balanced approach, Tussy/Gustafson/Koenig's BASIC MATHEMATICS FOR COLLEGE STUDENTS, Fourth Edition, integrates the best of traditional drill and practice with the best elements of the reform movement. To many developmental math students, mathematics is like a foreign language. They have difficulty translating the words, their meanings, and how they apply to problem solving. Emphasizing the language of mathematics, the text's fully integrated learning process is designed to expand students' reasoning abilities and teach them how to read, write, and think mathematically. It blends instructional approaches that include vocabulary, practice, and well-defined pedagogy with an emphasis on reasoning, modeling, communication, and technology skills. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.