Algebra

Author: Richard G. Brown
Publisher: McDougal Littell/Houghton Mifflin
ISBN: 9780395470541
Format: PDF, Docs
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Algebra Teaching around the World

Author: Frederick K.S. Leung
Publisher: Springer
ISBN: 9462097070
Format: PDF, ePub
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Utilizing the LPS dataset, Algebra Teaching around the World documents eighth grade algebra teaching across a variety of countries that differ geographically and culturally. Different issues in algebra teaching are reported, and different theories are used to characterize algebra lessons or to compare algebra teaching in different countries. Many commonalities in algebra teaching around the world are identified, but there are also striking and deep-rooted differences. The different ways algebra was taught in different countries point to how algebra teaching may be embedded in the culture and the general traditions of mathematics education of the countries concerned. In particular, a comparison is made between algebra lessons in the Confucian-Heritage Culture (CHC) countries and ‘Western’ countries. It seems that a common emphasis of algebra teaching in CHC countries is the ‘linkage’ or ‘coherence’ of mathematics concepts, both within an algebraic topic and between topics. On the other hand, contemporary algebra teaching in many Western school systems places increasing emphasis on the use of algebra in mathematical modeling in ‘real world’ contexts and in the instructional use of metaphors, where meaning construction is assisted by invoking contexts outside the domain of algebraic manipulation, with the intention to helping students to form connections between algebra and other aspects of their experience. Algebra Teaching around the World should be of value to researchers with a focus on algebra, pedagogy or international comparisons of education. Because of the pedagogical variations noted here, there is a great deal of material that will be of interest to both teachers and teacher educators.

Matrix Methods of Structural Analysis

Author: R. K. Livesley
Publisher: Elsevier
ISBN: 1483148912
Format: PDF, ePub
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Matrix Methods of Structural Analysis, 2nd Edition deals with the use of matrix methods as standard tools for solving most non-trivial problems of structural analysis. Emphasis is on skeletal structures and the use of a more general finite element approach. The methods covered have natural links with techniques for automatic redundant selection in elastic analysis. This book is comprised of 11 chapters and begins with an introduction to the concepts and notation of matrix algebra, along with the value of a systematic approach; structure as an assembly of elements; boundaries and nodes; linearity and superposition; and how analytical methods are built up. The discussion then turns to the variables which form the basis of much of structural analysis, as well as the most important relationships between them. Subsequent chapters focus on the elastic properties of single elements; the equilibrium or displacement method; the equilibrium equations of a complete structure; plastic analysis and design; transfer matrices; and the analysis of non-linear structures. The compatibility or force method is also described. The final chapter considers the limits imposed by the size and accuracy of the computer used in structural analysis and how they can be extended. This monograph will be of interest to structural engineers and students of engineering.

College Algebra

Author: Jay P. Abramson
Publisher:
ISBN: 9781938168383
Format: PDF, ePub, Mobi
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"The text is suitable for a typical introductory algebra course, and was developed to be used flexibly. While the breadth of topics may go beyond what an instructor would cover, the modular approach and the richness of content ensures that the book meets the needs of a variety of programs."--Page 1.

Abstract Algebra

Author: Thomas W. Judson
Publisher: Orthogonal Publishing L3c
ISBN: 9781944325053
Format: PDF, ePub, Docs
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Abstract Algebra: Theory and Applications is an open-source textbook that is designed to teach the principles and theory of abstract algebra to college juniors and seniors in a rigorous manner. Its strengths include a wide range of exercises, both computational and theoretical, plus many non-trivial applications. The first half of the book presents group theory, through the Sylow theorems, with enough material for a semester-long course. The second-half is suitable for a second semester and presents rings, integral domains, Boolean algebras, vector spaces, and fields, concluding with Galois Theory.

Elementary algebra structure and use

Author: Raymond A. Barnett
Publisher: McGraw-Hill Companies
ISBN: 9780070038400
Format: PDF, Mobi
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This text is intended for a beginning or elementary algebra course offered at both two- and four-year schools. Elementary Algebra Structure and Use is an introductory text for students with either no background in algebra or for those students who need review before proceeding further. New accessible four-color design and an expanded graphics program make the book more visually appealing and reinforce critical concepts. Student success and anxiety reduction are achieved through a non-threatening, informal writing style and the use of numerous pedagogical aids (e.g., examples with "matched problems," annotations, think boxes, new chapter summaries, and cumulative reviews). The text is designed to smooth the transition from arithmetic to algebra by gradually developing algebraic concepts, manipulations, and applications. There are 6,400 graded problems which range from easy and routine to challenging and conceptual. The inclusion of a large quantity and variety of significant and interesting real-world applications should convince even the most skeptical students that algebra can be extremely useful.