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Author | Juan Jorge Schäffer | |

ISBN-10 | 9789814596114 | |

Release | 2014-05-16 | |

Pages | 320 | |

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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 | Robert L. Baber | |

ISBN-10 | 9781118061763 | |

Release | 2011-09-09 | |

Pages | 352 | |

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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 | Chris P. Tsokos | |

ISBN-10 | 9780128029855 | |

Release | 2015-10-27 | |

Pages | 554 | |

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The Joy of Finite Mathematics: The Language and Art of Math teaches students basic finite mathematics through a foundational understanding of the underlying symbolic language and its many dialects, including logic, set theory, combinatorics (counting), probability, statistics, geometry, algebra, and finance. Through detailed explanations of the concepts, step-by-step procedures, and clearly defined formulae, readers learn to apply math to subjects ranging from reason (logic) to finance (personal budget), making this interactive and engaging book appropriate for non-science, undergraduate students in the liberal arts, social sciences, finance, economics, and other humanities areas. The authors utilize important historical facts, pose interesting and relevant questions, and reference real-world events to challenge, inspire, and motivate students to learn the subject of mathematical thinking and its relevance. The book is based on the authors’ experience teaching Liberal Arts Math and other courses to students of various backgrounds and majors, and is also appropriate for preparing students for Florida’s CLAST exam or similar core requirements. Highlighted definitions, rules, methods, and procedures, and abundant tables, diagrams, and graphs, clearly illustrate important concepts and methods Provides end-of-chapter vocabulary and concept reviews, as well as robust review exercises and a practice test Contains information relevant to a wide range of topics, including symbolic language, contemporary math, liberal arts math, social sciences math, basic math for finance, math for humanities, probability, and the C.L.A.S.T. exam Optional advanced sections and challenging problems are included for use at the discretion of the instructor Online resources include PowerPoint Presentations for instructors and a useful student manual |

Author | Alan Tussy | |

ISBN-10 | 9781439044421 | |

Release | 2010-02-04 | |

Pages | 944 | |

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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. |

Author | Keith J. Devlin | |

ISBN-10 | 9781489929679 | |

Release | 2013-11-11 | |

Pages | 90 | |

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The purpose of this book is to provide the student beginning undergraduate mathematics with a solid foundation in the basic logical concepts necessary for most of the subjects encountered in a university mathematics course. The main distinction between most school mathematics and university mathematics lies in the degree of rigour demanded at university level. In general, the new student has no experience of wholly rigorous definitions and proofs, with the result that, although competent to handle quite difficult problems in, say, the differential calculus, he/she is totally lost when presented with a rigorous definition oflimits and derivatives. In effect, this means that in the first few weeks at university the student needs to master what is virtually an entire new language {'the language of mathematics'} and to adopt an entirely new mode ofthinking. Needless to say, only the very ablest students come through this process without a great deal of difficulty. |

Author | Serge Lang | |

ISBN-10 | 9780387967875 | |

Release | 1998-09-01 | |

Pages | 496 | |

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This text in basic mathematics is ideal for high school or college students. It provides a firm foundation in basic principles of mathematics and thereby acts as a springboard into calculus, linear algebra and other more advanced topics. The information is clearly presented, and the author develops concepts in such a manner to show how one subject matter can relate and evolve into another. |

Author | Lawrence A. Trivieri | |

ISBN-10 | 9780062115058 | |

Release | 2011-10-18 | |

Pages | 448 | |

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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 | G.R. Veena | |

ISBN-10 | 8122416845 | |

Release | 2005-01-01 | |

Pages | 574 | |

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Salient Features * As Per Ii Puc Basic Mathematics Syllabus Of Karnataka. * Provides An Introduction To Various Basic Mathematical Techniques And The Situations Where These Could Be Usefully Employed. * The Language Is Simple And The Material Is Self-Explanatory With A Large Number Of Illustrations. * Assists The Reader In Gaining Proficiency To Solve Diverse Variety Of Problems. * A Special Capsule Containing A Gist And List Of Formulae Titled 'Remember! * Additional Chapterwise Arranged Question Bank And 3 Model Papers In A Separate Section---'Examination Corner'. |

Author | Alan S. Tussy | |

ISBN-10 | 9781305142855 | |

Release | 2014-01-01 | |

Pages | 944 | |

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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. |

Author | Colin Beveridge | |

ISBN-10 | 9781119975625 | |

Release | 2011-07-26 | |

Pages | 284 | |

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Whether you are returning to school, studying for an adult numeracy test, helping your kids with homework, or seeking the confidence that a firm maths foundation provides in everyday encounters, Basic Maths For Dummies, UK Edition, provides the content you need to improve your basic maths skills. Based upon the Adult Numeracy Core Curriculum, this title covers such topics as: Getting started with the building blocks of maths and setting yourself up for success Dealing with decimals, percentages and tackling fractions without fear Sizing Up weights, measures, and shapes How to handle statistics and gauge probability Filled with real-world examples and written by a PhD-level mathematician who specialises in tutoring adults and students, Basic Maths For Dummies also provides practical advice on overcoming maths anxiety and a host of tips, tricks, and memory aids that make learning maths (almost) painless - and even fun. |

Author | A. Cornish-Bowden | |

ISBN-10 | 9789401165235 | |

Release | 2012-12-06 | |

Pages | 138 | |

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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. |

Author | Mohan Ganesalingam | |

ISBN-10 | 9783642370120 | |

Release | 2013-03-14 | |

Pages | 260 | |

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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 |

Author | Clive W. Humphris | |

ISBN-10 | 9781456619305 | |

Release | 2013-08-07 | |

Pages | 497 | |

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Learn BASIC Programming for Mathematics V10 Home Study is a more interesting way to learn maths? Here you can learn Maths through writing simple BASIC Programming code. Based on a series of lecturers given at a Higher Education College where the author was able to generate a lasting understanding and interest in mathematics for adults in particular through teaching not maths, but BASIC language Computer Programming. Students became hooked and were often found long after the class had ended still working on their assignments and producing work that was far in excess of what was required. Using a programming style very similar to the BBC Micro computers of many years ago users are able to write simple (or complex) computer programs based on the VbScript language (a cut down version of Visual Basic) but with a user interface resembling BBC BASIC. The software is designed to work with any standard textbook where students can explore a problem and learn by programming it to find the solution usually not requiring much more than one line of code that can be checked against a given answer. Resulting in a far greater understanding than traditional methods of teaching maths. eBook and educational software package at a tiny fraction of the previously published price. Table of Contents, (Software 250 interactive topics) Introduction, Number Systems, Number Conversion, Number Types, Compound Measures, Roots, Angles and Parallels, Triangle Ratios, Triangle Angles, Percentages, Ratios, Fractions, Vectors, Geometry, Circle Angles, Area, Surface Area and Symmetry, Volume, Laws, Algebra 0., Algebra 1., Algebra 2., Mathematical Rules, Powers and Indices, Simplifying, Linear Equations, Graphing, Slope and Translation, Curves and Angle Conversion, Personal Finance, Data Analysis, Binary Numbers, Binary Arithmetic, Additional Notes. |

Author | A. Cornish-Bowden | |

ISBN-10 | 9789401165235 | |

Release | 2012-12-06 | |

Pages | 138 | |

Download Link | Click Here |

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. |

Author | R. Shankar | |

ISBN-10 | 9781489967985 | |

Release | 2013-12-20 | |

Pages | 366 | |

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Based on course material used by the author at Yale University, this practical text addresses the widening gap found between the mathematics required for upper-level courses in the physical sciences and the knowledge of incoming students. This superb book offers students an excellent opportunity to strengthen their mathematical skills by solving various problems in differential calculus. By covering material in its simplest form, students can look forward to a smooth entry into any course in the physical sciences. |

Author | Christine Dugan | |

ISBN-10 | 1425801277 | |

Release | 2010-02-01 | |

Pages | 280 | |

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Boost students' mathematics vocabulary with easy-to-implement effective strategies! Sample lessons using each strategy are included for grade spans 1-2, 3-5, and 6-8 using vocabulary words from standards-based, content-specific units of study. Each strategy also includes suggestions for differentiating instruction. Each notebook includes 25 research-based strategies, differentiation suggestions for each strategy, assessment strategies, sample word lists including both specialized content and general academic words, and parent letters in both English and Spanish. Also included is a Teacher Resource CD with PDFs of resource pages, word lists, assessment pages, and parent letters. This resource is correlated to the Common Core State Standards and is aligned to the interdisciplinary themes from the Partnership for 21st Century Skills. 280pp. |

Author | Marvin L. Bittinger | |

ISBN-10 | 0321319060 | |

Release | 2005 | |

Pages | 676 | |

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The Bittinger System for Success, Make it Work for You! Building on its reputation for accurate content and a unified system of instruction, the Tenth Edition of the Bittinger paperback series integrates success-building study tools, innovative pedagogy, and a comprehensive instructional support package with time-tested teaching techniques. |