Examples In Algebra PDF Download
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| Author | : Meixia Ding |
| Publisher | : Routledge |
| Total Pages | : 0 |
| Release | : 2023-01-09 |
| Genre | : |
| ISBN | : 9780367750824 |
Download Teaching Early Algebra Through Example-Based Problem Solving Book in PDF, ePub and Kindle
Drawing on rich classroom observations of educators teaching in China and the U.S., this book details an innovative and effective approach to teaching algebra at the elementary level, namely, "teaching through example-based problem solving" (TEPS). Recognizing young children's particular cognitive and developmental capabilities, this book powerfully argues for the importance of infusing algebraic thinking into early grade mathematics teaching and illustrates how this has been achieved by teachers in U.S. and Chinese contexts. Documenting best practice and students' responses to example-based instruction, the text demonstrates that this TEPS approach - which involves the use of worked examples, representations, and deep questions - helps students learn and master fundamental mathematical ideas, making it highly effective in developing algebraic readiness and mathematical understanding. This text will benefit post-graduate students, researchers, and academics in the fields of mathematics, STEM, and elementary education, as well as algebra research more broadly. Those interested in teacher education, classroom practice, and developmental and cognitive psychology will also find this volume of interest.
| Author | : Benjamin Fine |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 220 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461219280 |
Download The Fundamental Theorem of Algebra Book in PDF, ePub and Kindle
The fundamental theorem of algebra states that any complex polynomial must have a complex root. This book examines three pairs of proofs of the theorem from three different areas of mathematics: abstract algebra, complex analysis and topology. The first proof in each pair is fairly straightforward and depends only on what could be considered elementary mathematics. However, each of these first proofs leads to more general results from which the fundamental theorem can be deduced as a direct consequence. These general results constitute the second proof in each pair. To arrive at each of the proofs, enough of the general theory of each relevant area is developed to understand the proof. In addition to the proofs and techniques themselves, many applications such as the insolvability of the quintic and the transcendence of e and pi are presented. Finally, a series of appendices give six additional proofs including a version of Gauss'original first proof. The book is intended for junior/senior level undergraduate mathematics students or first year graduate students, and would make an ideal "capstone" course in mathematics.
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Download ELEMENTARY ABSTRACT ALGEBRA Book in PDF, ePub and Kindle
| Author | : Dan Saracino |
| Publisher | : Waveland Press |
| Total Pages | : 320 |
| Release | : 2008-09-02 |
| Genre | : Mathematics |
| ISBN | : 1478610131 |
Download Abstract Algebra Book in PDF, ePub and Kindle
The Second Edition of this classic text maintains the clear exposition, logical organization, and accessible breadth of coverage that have been its hallmarks. It plunges directly into algebraic structures and incorporates an unusually large number of examples to clarify abstract concepts as they arise. Proofs of theorems do more than just prove the stated results; Saracino examines them so readers gain a better impression of where the proofs come from and why they proceed as they do. Most of the exercises range from easy to moderately difficult and ask for understanding of ideas rather than flashes of insight. The new edition introduces five new sections on field extensions and Galois theory, increasing its versatility by making it appropriate for a two-semester as well as a one-semester course.
| Author | : Anthony W. Knapp |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 762 |
| Release | : 2007-07-28 |
| Genre | : Mathematics |
| ISBN | : 0817645292 |
Download Basic Algebra Book in PDF, ePub and Kindle
Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole. The presentation includes blocks of problems that introduce additional topics and applications to science and engineering to guide further study. Many examples and hundreds of problems are included, along with a separate 90-page section giving hints or complete solutions for most of the problems.
| Author | : Isaac Todhunter |
| Publisher | : |
| Total Pages | : 302 |
| Release | : 1863 |
| Genre | : Algebra |
| ISBN | : |
Download Algebra for Beginners Book in PDF, ePub and Kindle
| Author | : Alain M Robert |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 387 |
| Release | : 2005-08-25 |
| Genre | : Mathematics |
| ISBN | : 9813101962 |
Download Linear Algebra: Examples And Applications Book in PDF, ePub and Kindle
This short but rigorous book approaches the main ideas of linear algebra through carefully selected examples and relevant applications. It is intended for students with various interests in mathematics, as well as established scientists seeking to refresh their basic mathematical culture.The book is also a good introduction to functional analysis and quantum theory since it discusses the general principles of linear algebra without finiteness assumptions.
| Author | : Justin Hill |
| Publisher | : Lulu.com |
| Total Pages | : 402 |
| Release | : 2018-08-22 |
| Genre | : Education |
| ISBN | : 0359042112 |
Download Elementary Abstract Algebra, Examples and Applications Volume 1: Foundations Book in PDF, ePub and Kindle
This textbook introduces the basic notions of group theory by a thorough treatment of important examples, including complex numbers, modular arithmetic, symmetries, and permutations. Practical examples to cryptography and coding theory are also included.
| Author | : Henry Sinclair Hall |
| Publisher | : |
| Total Pages | : 440 |
| Release | : 1999-01-01 |
| Genre | : Algebra |
| ISBN | : 1402159129 |
Download Solutions of the Examples in Elementary Algebra for Schools Book in PDF, ePub and Kindle
This Elibron Classics title is a reprint of the original edition published by Macmillan and Ño., Ltd. in London, 1906.
| Author | : James J. Kaput |
| Publisher | : Routledge |
| Total Pages | : 496 |
| Release | : 2017-09-25 |
| Genre | : Education |
| ISBN | : 1351577085 |
Download Algebra in the Early Grades Book in PDF, ePub and Kindle
This volume is the first to offer a comprehensive, research-based, multi-faceted look at issues in early algebra. In recent years, the National Council for Teachers of Mathematics has recommended that algebra become a strand flowing throughout the K-12 curriculum, and the 2003 RAND Mathematics Study Panel has recommended that algebra be “the initial topical choice for focused and coordinated research and development [in K-12 mathematics].” This book provides a rationale for a stronger and more sustained approach to algebra in school, as well as concrete examples of how algebraic reasoning may be developed in the early grades. It is organized around three themes: The Nature of Early Algebra Students’ Capacity for Algebraic Thinking Issues of Implementation: Taking Early Algebra to the Classrooms. The contributors to this landmark volume have been at the forefront of an effort to integrate algebra into the existing early grades mathematics curriculum. They include scholars who have been developing the conceptual foundations for such changes as well as researchers and developers who have led empirical investigations in school settings. Algebra in the Early Grades aims to bridge the worlds of research, practice, design, and theory for educators, researchers, students, policy makers, and curriculum developers in mathematics education.
