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Punchline Algebra

Punchline Algebra Book
Author : Steve Marcy,Janis Marcy
Publisher : Unknown
Release : 2006
ISBN : 9780964913455
Language : En, Es, Fr & De

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Book Description :

Download Punchline Algebra book written by Steve Marcy,Janis Marcy, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Punchline Algebra

Punchline Algebra Book
Author : Steve Marcy,Janis Marcy
Publisher : Unknown
Release : 2006
ISBN : 9780964913448
Language : En, Es, Fr & De

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Book Description :

Download Punchline Algebra book written by Steve Marcy,Janis Marcy, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

A Taste of Jordan Algebras

A Taste of Jordan Algebras Book
Author : Kevin McCrimmon
Publisher : Springer Science & Business Media
Release : 2006-05-29
ISBN : 0387217967
Language : En, Es, Fr & De

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Book Description :

This book describes the history of Jordan algebras and describes in full mathematical detail the recent structure theory for Jordan algebras of arbitrary dimension due to Efim Zel'manov. Jordan algebras crop up in many surprising settings, and find application to a variety of mathematical areas. No knowledge is required beyond standard first-year graduate algebra courses.

Algebra I

Algebra I Book
Author : Sara Freeman
Publisher : Milliken Publishing Company
Release : 2002-09-01
ISBN : 1773445472
Language : En, Es, Fr & De

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Book Description :

Motivate Your Students! This easy-to-use workbook is chock full of stimulating activities that will jumpstart your students' interest in algebra while reinforcing the major algebra concepts. A variety of puzzles, mazes, and games will challenge students to think creatively as they sharpen their algebra skills. A special assessment section is also included to help prepare students for standardized tests.

Algebra I eBook

Algebra I  eBook  Book
Author : Sara Freeman
Publisher : Lorenz Educational Press
Release : 2002-09-01
ISBN : 0787781681
Language : En, Es, Fr & De

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Book Description :

Give your students all the essential tools for a solid introduction to algebra! The skills required to master basic algebra are introduced in Algebra I and developed further in the more advanced Algebra II. A variety of rules, theorems, and processes are presented along with easy-to-follow examples. Games and puzzles use answers to practice problems to reinforce learning and make algebra fun. 48 pages

Algebra 1

Algebra 1 Book
Author : Sara Freeman
Publisher : Lorenz Educational Press
Release : 2002-09-01
ISBN : 078770508X
Language : En, Es, Fr & De

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Book Description :

Give your students all the essential tools for a solid introduction to algebra! The skills required to master basic algebra are introduced in Algebra I and developed further in the more advanced Algebra II. A variety of rules, theorems, and processes are presented along with easy-to-follow examples. Games and puzzles use answers to practice problems to reinforce learning and make algebra fun. 48 pages

Abstract Algebra

Abstract Algebra Book
Author : Jonathan K. Hodge,Steven Schlicker,Ted Sundstrom
Publisher : CRC Press
Release : 2013-12-21
ISBN : 1466567082
Language : En, Es, Fr & De

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Book Description :

To learn and understand mathematics, students must engage in the process of doing mathematics. Emphasizing active learning, Abstract Algebra: An Inquiry-Based Approach not only teaches abstract algebra but also provides a deeper understanding of what mathematics is, how it is done, and how mathematicians think. The book can be used in both rings-first and groups-first abstract algebra courses. Numerous activities, examples, and exercises illustrate the definitions, theorems, and concepts. Through this engaging learning process, students discover new ideas and develop the necessary communication skills and rigor to understand and apply concepts from abstract algebra. In addition to the activities and exercises, each chapter includes a short discussion of the connections among topics in ring theory and group theory. These discussions help students see the relationships between the two main types of algebraic objects studied throughout the text. Encouraging students to do mathematics and be more than passive learners, this text shows students that the way mathematics is developed is often different than how it is presented; that definitions, theorems, and proofs do not simply appear fully formed in the minds of mathematicians; that mathematical ideas are highly interconnected; and that even in a field like abstract algebra, there is a considerable amount of intuition to be found.

Post Modern Algebra

Post Modern Algebra Book
Author : Jonathan D. H. Smith,Anna B. Romanowska
Publisher : John Wiley & Sons
Release : 2011-09-30
ISBN : 1118030834
Language : En, Es, Fr & De

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Book Description :

Advanced algebra in the service of contemporary mathematicalresearch-- a unique introduction. This volume takes an altogether new approach to advanced algebra.Its intriguing title, inspired by the term postmodernism, denotes adeparture from van der Waerden's Modern Algebra--a book that hasdominated the field for nearly seventy years. Post-Modern Algebraoffers a truly up-to-date alternative to the standard approach,explaining topics from an applications-based perspective ratherthan by abstract principles alone. The book broadens the field ofstudy to include algebraic structures and methods used in currentand emerging mathematical research, and describes the powerful yetsubtle techniques of universal algebra and category theory.Classical algebraic areas of groups, rings, fields, and vectorspaces are bolstered by such topics as ordered sets, monoids,monoid actions, quasigroups, loops, lattices, Boolean algebras,categories, and Heyting algebras. The text features: * A clear and concise treatment at an introductory level, tested inuniversity courses. * A wealth of exercises illustrating concepts and their practicalapplication. * Effective techniques for solving research problems in the realworld. * Flexibility of presentation, making it easy to tailor material tospecific needs. * Help with elementary proofs and algebraic notations for studentsof varying abilities. Post-Modern Algebra is an excellent primary or supplementary textfor graduate-level algebra courses. It is also an extremely usefulresource for professionals and researchers in many areas who musttackle abstract, linear, or universal algebra in the course oftheir work.

Future Curricular Trends in School Algebra And Geometry

Future Curricular Trends in School Algebra And Geometry Book
Author : Zalman Usiskin,Kathleen Andersen,Nicole Zotto
Publisher : IAP
Release : 2010-06-01
ISBN : 1617350087
Language : En, Es, Fr & De

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Book Description :

This volume contains papers from the Second International Curriculum Conference sponsored by the Center for the Study of Mathematics Curriculum (CSMC). The intended audience includes policy makers, curriculum developers, researchers, teachers, teacher trainers, and anyone else interested in school mathematics curricula.

Learning Modern Algebra

Learning Modern Algebra Book
Author : Al Cuoco,Joseph Rotman
Publisher : MAA
Release : 2013
ISBN : 1939512018
Language : En, Es, Fr & De

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Book Description :

Learning Modern Algebra aligns with the CBMS Mathematical Education of Teachers II recommendations, in both content and practice. It emphasizes rings and fields over groups, and it makes explicit connections between the ideas of abstract algebra and the mathematics used by high school teachers. It provides opportunities for prospective and practicing teachers to experience mathematics for themselves, before the formalities are developed, and it is explicit about the mathematical habits of mind that lie beneath the definitions and theorems. This book is designed for prospective and practicing high school mathematics teachers, but it can serve as a text for standard abstract algebra courses as well. The presentation is organized historically: the Babylonians introduced Pythagorean triples to teach the Pythagorean theorem; these were classified by Diophantus, and eventually this led Fermat to conjecture his Last Theorem. The text shows how much of modern algebra arose in attempts to prove this; it also shows how other important themes in algebra arose from questions related to teaching. Indeed, modern algebra is a very useful tool for teachers, with deep connections to the actual content of high school mathematics, as well as to the mathematics teachers use in their profession that doesn't necessarily ""end up on the blackboard."" The focus is on number theory, polynomials, and commutative rings. Group theory is introduced near the end of the text to explain why generalizations of the quadratic formula do not exist for polynomials of high degree, allowing the reader to appreciate the more general work of Galois and Abel on roots of polynomials. Results and proofs are motivated with specific examples whenever possible, so that abstractions emerge from concrete experience. Applications range from the theory of repeating decimals to the use of imaginary quadratic fields to construct problems with rational solutions. While such applications are integrated throughout, each chapter also contains a section giving explicit connections between the content of the chapter and high school teaching.

Applied Abstract Algebra

Applied Abstract Algebra Book
Author : David Joyner,Richard Kreminski,Joann Turisco
Publisher : JHU Press
Release : 2004-06
ISBN : 9780801878220
Language : En, Es, Fr & De

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Book Description :

With the advent of computers that can handle symbolic manipulations, abstract algebra can now be applied. In this book David Joyner, Richard Kreminski, and Joann Turisco introduce a wide range of abstract algebra with relevant and interesting applications, from error-correcting codes to cryptography to the group theory of Rubik's cube. They cover basic topics such as the Euclidean algorithm, encryption, and permutations. Hamming codes and Reed-Solomon codes used on today's CDs are also discussed. The authors present examples as diverse as "Rotation," available on the Nokia 7160 cell phone, bell ringing, and the game of NIM. In place of the standard treatment of group theory, which emphasizes the classification of groups, the authors highlight examples and computations. Cyclic groups, the general linear group GL(n), and the symmetric groups are emphasized. With its clear writing style and wealth of examples, Applied Abstract Algebra will be welcomed by mathematicians, computer scientists, and students alike. Each chapter includes exercises in GAP (a free computer algebra system) and MAGMA (a noncommercial computer algebra system), which are especially helpful in giving students a grasp of practical examples.

33 Steps to Algebra Readiness

33 Steps to Algebra Readiness Book
Author : Fred Pyrczak
Publisher : Walch Publishing
Release : 1995
ISBN : 9780825127410
Language : En, Es, Fr & De

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Book Description :

A ssesses student readiness with 31 diagnostic tests Promotes understanding of algebraic concepts with extensive practice sheets

Linear Algebra and Geometry

Linear Algebra and Geometry Book
Author : Al Cuoco,Kevin Waterman,Bowen Kerins,Elena Kaczorowski,Michelle Manes
Publisher : American Mathematical Soc.
Release : 2019-04-10
ISBN : 1470443503
Language : En, Es, Fr & De

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Book Description :

Linear Algebra and Geometry is organized around carefully sequenced problems that help students build both the tools and the habits that provide a solid basis for further study in mathematics. Requiring only high school algebra, it uses elementary geometry to build the beautiful edifice of results and methods that make linear algebra such an important field. The materials in Linear Algebra and Geometry have been used, field tested, and refined for over two decades. It is aimed at preservice and practicing high school mathematics teachers and advanced high school students looking for an addition to or replacement for calculus. Secondary teachers will find the emphasis on developing effective habits of mind especially helpful. The book is written in a friendly, approachable voice and contains nearly a thousand problems. An instructor's manual for this title is available electronically to those instructors who have adopted the textbook for classroom use. Please send email to [email protected] for more information.

Invitation to Nonlinear Algebra

Invitation to Nonlinear Algebra Book
Author : Mateusz Michałek,Bernd Sturmfels
Publisher : American Mathematical Soc.
Release : 2021-03-22
ISBN : 1470465515
Language : En, Es, Fr & De

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Book Description :

Nonlinear algebra provides modern mathematical tools to address challenges arising in the sciences and engineering. It is useful everywhere, where polynomials appear: in particular, data and computational sciences, statistics, physics, optimization. The book offers an invitation to this broad and fast-developing area. It is not an extensive encyclopedia of known results, but rather a first introduction to the subject, allowing the reader to enter into more advanced topics. It was designed as the next step after linear algebra and well before abstract algebraic geometry. The book presents both classical topics—like the Nullstellensatz and primary decomposition—and more modern ones—like tropical geometry and semidefinite programming. The focus lies on interactions and applications. Each of the thirteen chapters introduces fundamental concepts. The book may be used for a one-semester course, and the over 200 exercises will help the readers to deepen their understanding of the subject.

The Algebra of Warfare Welfare

The Algebra of Warfare Welfare Book
Author : Irfan Ahmad,Pralay Kanungo
Publisher : Oxford University Press
Release : 2018-12-24
ISBN : 0199097534
Language : En, Es, Fr & De

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Book Description :

Electoral democracy combines the ideas and practices of warfare and welfare, where both work in tandem as near synonyms. India’s robust electoral democracy exemplifies this combination in diverse forms. Critically analysing the 2014 Parliamentary elections beyond the seduction of immediacy and bare cold statistics, this book puts human subjectivity at the centre of election studies and, through an anthropological–sociological approach, makes lives—human and non-human, lived and unlived or unlivable—central to any understanding of elections and democracy. Crafting a new, comprehensive approach, this volume looks at the 2014 elections in relation to the changing nature and forms of elections and democracy globally. Coming from multidisciplinary backgrounds, the contributors to this volume use ethnographic observations to open up a space for new theoretical and methodological reflections on the role of media in Indian elections, the shift to the right in 2014 and its consequences, the significance of traditional Hindu spaces such as the river Ganga in BJP’s victory, the role of gurus like Baba Ramdev, and the electoral choices available to and exercised by the minorities, among others.

Numerical Linear Algebra with Julia

Numerical Linear Algebra with Julia Book
Author : Eric Darve,Mary Wootters
Publisher : SIAM
Release : 2021-09-02
ISBN : 1611976553
Language : En, Es, Fr & De

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Book Description :

Numerical Linear Algebra with Julia provides in-depth coverage of fundamental topics in numerical linear algebra, including how to solve dense and sparse linear systems, compute QR factorizations, compute the eigendecomposition of a matrix, and solve linear systems using iterative methods such as conjugate gradient. Julia code is provided to illustrate concepts and allow readers to explore methods on their own. Written in a friendly and approachable style, the book contains detailed descriptions of algorithms along with illustrations and graphics that emphasize core concepts and demonstrate the algorithms. Numerical Linear Algebra with Julia is a textbook for advanced undergraduate and graduate students in most STEM fields and is appropriate for courses in numerical linear algebra. It may also serve as a reference for researchers in various fields who depend on numerical solvers in linear algebra.

Introduction to Linear and Matrix Algebra

Introduction to Linear and Matrix Algebra Book
Author : Nathaniel Johnston
Publisher : Springer Nature
Release : 2021-05-19
ISBN : 3030528111
Language : En, Es, Fr & De

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Book Description :

This textbook emphasizes the interplay between algebra and geometry to motivate the study of linear algebra. Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the book. By focusing on this interface, the author offers a conceptual appreciation of the mathematics that is at the heart of further theory and applications. Those continuing to a second course in linear algebra will appreciate the companion volume Advanced Linear and Matrix Algebra. Starting with an introduction to vectors, matrices, and linear transformations, the book focuses on building a geometric intuition of what these tools represent. Linear systems offer a powerful application of the ideas seen so far, and lead onto the introduction of subspaces, linear independence, bases, and rank. Investigation then focuses on the algebraic properties of matrices that illuminate the geometry of the linear transformations that they represent. Determinants, eigenvalues, and eigenvectors all benefit from this geometric viewpoint. Throughout, “Extra Topic” sections augment the core content with a wide range of ideas and applications, from linear programming, to power iteration and linear recurrence relations. Exercises of all levels accompany each section, including many designed to be tackled using computer software. Introduction to Linear and Matrix Algebra is ideal for an introductory proof-based linear algebra course. The engaging color presentation and frequent marginal notes showcase the author’s visual approach. Students are assumed to have completed one or two university-level mathematics courses, though calculus is not an explicit requirement. Instructors will appreciate the ample opportunities to choose topics that align with the needs of each classroom, and the online homework sets that are available through WeBWorK.

Applications of Algebra and Geometry to the Work of Teaching

Applications of Algebra and Geometry to the Work of Teaching Book
Author : Bowen Kerins,Benjamin Sinwell, Darryl Yong,Al Cuoco,Glenn Stevens
Publisher : American Mathematical Soc.
Release : 2015-10-05
ISBN : 1470419246
Language : En, Es, Fr & De

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Book Description :

Designed for precollege teachers by a collaborative of teachers, educators, and mathematicians, Applications of Algebra and Geometry to the Work of Teaching is based on a course offered in the Summer School Teacher Program at the Park City Mathematics Institute. But this book isn't a "course" in the traditional sense. It consists of a carefully sequenced collection of problem sets designed to develop several interconnected mathematical themes, and one of the goals of the problem sets is for readers to uncover these themes for themselves. The specific theme developed in Applications of Algebra and Geometry to the Work of Teaching is the use of complex numbers--especially the arithmetic of Gaussian and Eisenstein integers--to investigate some questions that are at the intersection of algebra and geometry, like the classification of Pythagorean triples and the number of representations of an integer as the sum of two squares. Applications of Algebra and Geometry to the Work of Teaching is a volume of the book series "IAS/PCMI-The Teacher Program Series" published by the American Mathematical Society. Each volume in that series covers the content of one Summer School Teacher Program year and is independent of the rest. Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.

The Block Theory of Finite Group Algebras

The Block Theory of Finite Group Algebras Book
Author : Markus Linckelmann
Publisher : Cambridge University Press
Release : 2018-05-24
ISBN : 1108425909
Language : En, Es, Fr & De

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Book Description :

A comprehensive treatment of block theory, emphasising cornerstones of the area which have not appeared in any book before.

The Block Theory of Finite Group Algebras

The Block Theory of Finite Group Algebras  Book
Author : Markus Linckelmann
Publisher : Cambridge University Press
Release : 2018-05-24
ISBN : 1108562582
Language : En, Es, Fr & De

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Book Description :

This is a comprehensive introduction to the modular representation theory of finite groups, with an emphasis on block theory. The two volumes take into account classical results and concepts as well as some of the modern developments in the area. Volume 1 introduces the broader context, starting with general properties of finite group algebras over commutative rings, moving on to some basics in character theory and the structure theory of algebras over complete discrete valuation rings. In Volume 2, blocks of finite group algebras over complete p-local rings take centre stage, and many key results which have not appeared in a book before are treated in detail. In order to illustrate the wide range of techniques in block theory, the book concludes with chapters classifying the source algebras of blocks with cyclic and Klein four defect groups, and relating these classifications to the open conjectures that drive block theory.