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Algebra And Order
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Book Synopsis Fundamental Concepts of Algebra by : Bruce Elwyn Meserve
Download or read book Fundamental Concepts of Algebra written by Bruce Elwyn Meserve and published by Courier Corporation. This book was released on 1982-01-01 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uncommonly interesting introduction illuminates complexities of higher mathematics while offering a thorough understanding of elementary mathematics. Covers development of complex number system and elementary theories of numbers, polynomials and operations, determinants, matrices, constructions and graphical representations. Several exercises — without solutions.
Book Synopsis Formal Proofs in Maths by : Chris Lavranos
Download or read book Formal Proofs in Maths written by Chris Lavranos and published by Createspace Independent Publishing Platform. This book was released on 2015-07-15 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scope of Formal Proofs in Maths is to teach students between higher school classes and University undergraduate or postgraduate studies, how to write a formal proof with the true meaning of the concept, of simple theorems in Algebra, particulary in identities concerning equalities, equations and inequalities. This is accomplished by writing four different types of proof namely type(A), type(B), type(C) and type(D) for each theorem or exercise. In TYPE(A) ordinary proofs will be cited in the usual narrative style used by experienced mathematicians. In TYPE(B) a rigorous proof in steps will be introduced to the reader. Each line of that proof will be justified by an appropriate axiom, theorem or definition. In TYPE(C) we will try for a smooth transition from a rigorous proof to a formal proof exposing the way that the laws of logic apply on one or more statements of the proof. In TYPE(D) we will simply write in tabular stepwise form, the results of TYPE(C) mentioning both: 1) Axioms, theorems or definitions. 2) The laws of logic. Hence, finally producing a formal proof according to the definition given in the preface note of the book.
Book Synopsis Categorical Foundations by : Maria Cristina Pedicchio
Download or read book Categorical Foundations written by Maria Cristina Pedicchio and published by Cambridge University Press. This book was released on 2004 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Book Synopsis A Book of Abstract Algebra by : Charles C Pinter
Download or read book A Book of Abstract Algebra written by Charles C Pinter and published by Courier Corporation. This book was released on 2010-01-14 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.
Download or read book College Algebra written by Jay Abramson and published by . This book was released on 2018-01-07 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt: College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebra offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they've learned. Coverage and Scope In determining the concepts, skills, and topics to cover, we engaged dozens of highly experienced instructors with a range of student audiences. The resulting scope and sequence proceeds logically while allowing for a significant amount of flexibility in instruction. Chapters 1 and 2 provide both a review and foundation for study of Functions that begins in Chapter 3. The authors recognize that while some institutions may find this material a prerequisite, other institutions have told us that they have a cohort that need the prerequisite skills built into the course. Chapter 1: Prerequisites Chapter 2: Equations and Inequalities Chapters 3-6: The Algebraic Functions Chapter 3: Functions Chapter 4: Linear Functions Chapter 5: Polynomial and Rational Functions Chapter 6: Exponential and Logarithm Functions Chapters 7-9: Further Study in College Algebra Chapter 7: Systems of Equations and Inequalities Chapter 8: Analytic Geometry Chapter 9: Sequences, Probability and Counting Theory
Book Synopsis Connecting Arithmetic to Algebra by : Susan Jo Russell
Download or read book Connecting Arithmetic to Algebra written by Susan Jo Russell and published by Heinemann Educational Books. This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "To truly engage in mathematics is to become curious and intrigued about regularities and patterns, then describe and explain them. A focus on the behavior of the operations allows students starting in the familiar territory of number and computation to progress to true engagement in the discipline of mathematics." -Susan Jo Russell, Deborah Schifter, and Virginia Bastable Algebra readiness: it's a topic of concern that seems to pervade every school district. How can we better prepare elementary students for algebra? More importantly, how can we help all children, not just those who excel in math, become ready for later instruction? The answer lies not in additional content, but in developing a way of thinking about the mathematics that underlies both arithmetic and algebra. Connecting Arithmetic to Algebra invites readers to learn about a crucial component of algebraic thinking: investigating the behavior of the operations. Nationally-known math educators Susan Jo Russell, Deborah Schifter, and Virginia Bastable and a group of collaborating teachers describe how elementary teachers can shape their instruction so that students learn to: *notice and describe consistencies across problems *articulate generalizations about the behavior of the operations *develop mathematical arguments based on representations to explain why such generalizations are or are not true. Through such work, students become familiar with properties and general rules that underlie computational strategies-including those that form the basis of strategies used in algebra-strengthening their understanding of grade-level content and at the same time preparing them for future studies. Each chapter is illustrated by lively episodes drawn from the classrooms of collaborating teachers in a wide range of settings. These provide examples of posing problems, engaging students in productive discussion, using representations to develop mathematical arguments, and supporting both students with a wide range of learning profiles. Staff Developers: Available online, the Course Facilitator's Guide provides math leaders with tools and resources for implementing a Connecting Arithmetic to Algebra workshop or preservice course. For information on the PD course offered through Mount Holyoke College, download the flyer.
Book Synopsis Algebra I For Dummies by : Mary Jane Sterling
Download or read book Algebra I For Dummies written by Mary Jane Sterling and published by John Wiley & Sons. This book was released on 2016-05-26 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra I For Dummies, 2nd Edition (9781119293576) was previously published as Algebra I For Dummies, 2nd Edition (9780470559642). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product. Factor fearlessly, conquer the quadratic formula, and solve linear equations There's no doubt that algebra can be easy to some while extremely challenging to others. If you're vexed by variables, Algebra I For Dummies, 2nd Edition provides the plain-English, easy-to-follow guidance you need to get the right solution every time! Now with 25% new and revised content, this easy-to-understand reference not only explains algebra in terms you can understand, but it also gives you the necessary tools to solve complex problems with confidence. You'll understand how to factor fearlessly, conquer the quadratic formula, and solve linear equations. Includes revised and updated examples and practice problems Provides explanations and practical examples that mirror today's teaching methods Other titles by Sterling: Algebra II For Dummies and Algebra Workbook For Dummies Whether you're currently enrolled in a high school or college algebra course or are just looking to brush-up your skills, Algebra I For Dummies, 2nd Edition gives you friendly and comprehensible guidance on this often difficult-to-grasp subject.
Book Synopsis Introduction to Lattices and Order by : B. A. Davey
Download or read book Introduction to Lattices and Order written by B. A. Davey and published by Cambridge University Press. This book was released on 2002-04-18 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition of Introduction to Lattices and Order presents a radical reorganization and updating, though its primary aim is unchanged. The explosive development of theoretical computer science in recent years has, in particular, influenced the book's evolution: a fresh treatment of fixpoints testifies to this and Galois connections now feature prominently. An early presentation of concept analysis gives both a concrete foundation for the subsequent theory of complete lattices and a glimpse of a methodology for data analysis that is of commercial value in social science. Classroom experience has led to numerous pedagogical improvements and many new exercises have been added. As before, exposure to elementary abstract algebra and the notation of set theory are the only prerequisites, making the book suitable for advanced undergraduates and beginning graduate students. It will also be a valuable resource for anyone who meets ordered structures.
Download or read book Ordered Sets written by Bernd Schröder and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the basic tools of the theory of (partially) ordered sets such as visualization via diagrams, subsets, homomorphisms, important order-theoretical constructions and classes of ordered sets. Using a thematic approach, the author presents open or recently solved problems to motivate the development of constructions and investigations for new classes of ordered sets. The text can be used as a focused follow-up or companion to a first proof (set theory and relations) or graph theory course.
Book Synopsis A History of Mathematical Notations by : Florian Cajori
Download or read book A History of Mathematical Notations written by Florian Cajori and published by Courier Corporation. This book was released on 2013-09-26 with total page 865 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic study notes the origin of a mathematical symbol, the competition it encountered, its spread among writers in different countries, its rise to popularity, and its eventual decline or ultimate survival. 1929 edition.
Download or read book Mystery Math written by David A. Adler and published by Holiday House. This book was released on 2012-05-14 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boo! There is a mystery behind every door of the creepy haunted house. Luckily, algebra will help you solve each problem. By using simple addition, subtraction, mulitplication, and division, you'll discover that solving math mysteries isn't scary at all -- it's fun!
Book Synopsis Algebra & Functions Workbook by : Mel Friedman
Download or read book Algebra & Functions Workbook written by Mel Friedman and published by Research & Education Assoc.. This book was released on 2013-01-01 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: REA's Algebra & Functions Workbook Perfect for students struggling with math! This book will help high school math students at all learning levels understand basic algebra. Students will develop the skills, confidence, and knowledge they need to succeed on high school math exams with emphasis on passing high school graduation exams. More than 20 easy-to-follow lessons break down the material into the basics. In-depth, step-by-step examples and solutions reinforce student learning, while the “Math Flash” feature provides useful tips and strategies, including advice on common mistakes to avoid. Students can take drills and quizzes to test themselves on the subject matter, then review any areas in which they need improvement or additional reinforcement. The book concludes with a final exam, designed to comprehensively test what students have learned. REA's Algebra & Functions Workbook will help students master the basics of mathematics—and help them face their next math test—with confidence!
Book Synopsis Orders: Description and Roles by : M. Pouzet
Download or read book Orders: Description and Roles written by M. Pouzet and published by Elsevier. This book was released on 1984-01-01 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: Orders: Description and Roles
Book Synopsis Beginning and Intermediate Algebra by : Tyler Wallace
Download or read book Beginning and Intermediate Algebra written by Tyler Wallace and published by Createspace Independent Publishing Platform. This book was released on 2018-02-13 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: Get Better Results with high quality content, exercise sets, and step-by-step pedagogy! Tyler Wallace continues to offer an enlightened approach grounded in the fundamentals of classroom experience in Beginning and Intermediate Algebra. The text reflects the compassion and insight of its experienced author with features developed to address the specific needs of developmental level students. Throughout the text, the author communicates to students the very points their instructors are likely to make during lecture, and this helps to reinforce the concepts and provide instruction that leads students to mastery and success. The exercises, along with the number of practice problems and group activities available, permit instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skills. In this way, the book perfectly complements any learning platform, whether traditional lecture or distance-learning; its instruction is so reflective of what comes from lecture, that students will feel as comfortable outside of class as they do inside class with their instructor.
Book Synopsis The Chinese Roots of Linear Algebra by : Roger Hart
Download or read book The Chinese Roots of Linear Algebra written by Roger Hart and published by JHU Press. This book was released on 2011-01-01 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: A monumental accomplishment in the history of non-Western mathematics, The Chinese Roots of Linear Algebra explains the fundamentally visual way Chinese mathematicians understood and solved mathematical problems. It argues convincingly that what the West "discovered" in the sixteenth and seventeenth centuries had already been known to the Chinese for 1,000 years. Accomplished historian and Chinese-language scholar Roger Hart examines Nine Chapters of Mathematical Arts—the classic ancient Chinese mathematics text—and the arcane art of fangcheng, one of the most significant branches of mathematics in Imperial China. Practiced between the first and seventeenth centuries by anonymous and most likely illiterate adepts, fangcheng involves manipulating counting rods on a counting board. It is essentially equivalent to the solution of systems of N equations in N unknowns in modern algebra, and its practice, Hart reveals, was visual and algorithmic. Fangcheng practitioners viewed problems in two dimensions as an array of numbers across counting boards. By "cross multiplying" these, they derived solutions of systems of linear equations that are not found in ancient Greek or early European mathematics. Doing so within a column equates to Gaussian elimination, while the same operation among individual entries produces determinantal-style solutions. Mathematicians and historians of mathematics and science will find in The Chinese Roots of Linear Algebra new ways to conceptualize the intellectual development of linear algebra.
Download or read book Spectrum Algebra written by and published by Carson-Dellosa Publishing. This book was released on 2015-02-15 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the help of Spectrum Algebra for grades 6 to 8, your child develops problem-solving math skills they can build on. This standards-based workbook focuses on middle school algebra concepts like equalities, inequalities, factors, fractions, proportions, functions, and more. Middle school is known for its challenges—let Spectrum ease some stress. Developed by education experts, the Spectrum Middle School Math series strengthens the important home-to-school connection and prepares children for math success. Filled with easy instructions and rigorous practice, Spectrum Algebra helps children soar in a standards-based classroom!
Download or read book Modern Algebra written by Seth Warner and published by Courier Corporation. This book was released on 2012-08-29 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: Standard text provides an exceptionally comprehensive treatment of every aspect of modern algebra. Explores algebraic structures, rings and fields, vector spaces, polynomials, linear operators, much more. Over 1,300 exercises. 1965 edition.
