Explorations in Algebra
Explorations in Algebra

Author:

Publisher: CRDG

Published: 2003

Total Pages: 238

ISBN-13: 1583510214

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This book is a compatible instructional component to any algebra textbook and was developed by University of Hawaii under the Dwight D. Eisenhower Mathematics and Science Education Improvement Act. The tasks align with the content and instructional approach used in daily classes that emphasize standards-based teaching and learning. The tasks include problem solving, manipulatives, and open-ended questions that let students demonstrate their understanding in different ways. Each topic has multiple labs that can be used at points throughout related chapters giving students the opportunity to enhance their understanding of the concepts or to bridge concepts to skills. Some labs use manipulatives such as algebra tiles or graphing calculators. Each lab includes a problem solving experience. Chapters include: (1) "Problem Solving"; (2) "Real Numbers"; (3) "Algebraic Expressions"; (4) "Equations and Inequalities"; (5) "Graphing"; (6) "Systems of Equations and Inequalities"; (7) "Polynomials"; (8) "Products and Factors"; (9) "Quadratic Equations"; and (10) "Rational Expressions and Equations". (KHR).

Explorations in Mathematical Physics
Explorations in Mathematical Physics

Author: Don Koks

Publisher: Springer Science & Business Media

Published: 2006-09-15

Total Pages: 549

ISBN-13: 0387309438

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Have you ever wondered why the language of modern physics centres on geometry? Or how quantum operators and Dirac brackets work? What a convolution really is? What tensors are all about? Or what field theory and lagrangians are, and why gravity is described as curvature? This book takes you on a tour of the main ideas forming the language of modern mathematical physics. Here you will meet novel approaches to concepts such as determinants and geometry, wave function evolution, statistics, signal processing, and three-dimensional rotations. You will see how the accelerated frames of special relativity tell us about gravity. On the journey, you will discover how tensor notation relates to vector calculus, how differential geometry is built on intuitive concepts, and how variational calculus leads to field theory. You will meet quantum measurement theory, along with Green functions and the art of complex integration, and finally general relativity and cosmology. The book takes a fresh approach to tensor analysis built solely on the metric and vectors, with no need for one-forms. This gives a much more geometrical and intuitive insight into vector and tensor calculus, together with general relativity, than do traditional, more abstract methods. Don Koks is a physicist at the Defence Science and Technology Organisation in Adelaide, Australia. His doctorate in quantum cosmology was obtained from the Department of Physics and Mathematical Physics at Adelaide University. Prior work at the University of Auckland specialised in applied accelerator physics, along with pure and applied mathematics.

Explorations in College Algebra
Explorations in College Algebra

Author: Linda Almgren Kime

Publisher: Wiley

Published: 2011-02-02

Total Pages: 768

ISBN-13: 9780470466445

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Explorations in College Algebra, 5th Edition is designed to make algebra interesting and relevant to the student. The text adopts a problem-solving approach that motivates readers to grasp abstract ideas by solving real-world problems. The problems lie on a continuum from basic algebraic drills to open-ended, non-routine questions. The focus is shifted from learning a set of discrete mathematical rules to exploring how algebra is used in the social, physical, and life sciences. The goal of Explorations in College Algebra, 5th Edition is to prepare students for future advanced mathematics or other quantitatively based courses, while encouraging them to appreciate and use the power of algebra in answering questions about the world around us. Access to WileyPLUS sold separately.

Planting the Seeds of Algebra, PreK–2
Planting the Seeds of Algebra, PreK–2

Author: Monica Neagoy

Publisher: Corwin Press

Published: 2012-04-20

Total Pages: 210

ISBN-13: 1412996600

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The subject of algebra has always been important in American secondary mathematics education. However, algebra at the elementary level has been garnering increasing attention and importance over the past 15 years. There is consequently a dire need for ideas, suggestions and models for how best to achieve pre-algebraic instruction in the elementary grades. Planting the Seeds of Algebra will empower teachers with theoretical and practical knowledge about both the content and pedagogy of such instruction, and show them the different faces of algebra as it appears in the early grades. The book will walk teachers of young children through many examples of K-6 math lessons and unpack, step by step, the hidden connections to higher algebra. After reading this book, teachers will be better equipped ...

Graphic Algebra
Graphic Algebra

Author: Gary Asp

Publisher:

Published: 1998

Total Pages: 0

ISBN-13: 9781559532792

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With engaging activities that students complete with graphing calculators or software, "Graphic Algebra" helps students develop new insights into algebra by providing easy-to-use lessons. (Education/Teaching)

Playing with Infinity
Playing with Infinity

Author: Rozsa Peter

Publisher:

Published: 1986-01

Total Pages:

ISBN-13: 9780844652351

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Popular account ranges from counting to mathematical logic and covers many concepts related to infinity: graphic representation of functions; pairings, other combinations; prime numbers; logarithms, circular functions; more. 216 illustrations.

Mathematical Explorations
Mathematical Explorations

Author: Alan F. Beardon

Publisher: Cambridge University Press

Published: 2016-10-13

Total Pages: 129

ISBN-13: 131661056X

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Provides readers with experience of working on difficult unsolved problems. No deep mathematical background is required.

Explorations of Mathematical Models in Biology with MATLAB
Explorations of Mathematical Models in Biology with MATLAB

Author: Mazen Shahin

Publisher: John Wiley & Sons

Published: 2013-12-24

Total Pages: 249

ISBN-13: 1118548531

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Explore and analyze the solutions of mathematical models from diverse disciplines As biology increasingly depends on data, algorithms, and models, it has become necessary to use a computing language, such as the user-friendly MATLAB, to focus more on building and analyzing models as opposed to configuring tedious calculations. Explorations of Mathematical Models in Biology with MATLAB provides an introduction to model creation using MATLAB, followed by the translation, analysis, interpretation, and observation of the models. With an integrated and interdisciplinary approach that embeds mathematical modeling into biological applications, the book illustrates numerous applications of mathematical techniques within biology, ecology, and environmental sciences. Featuring a quantitative, computational, and mathematical approach, the book includes: Examples of real-world applications, such as population dynamics, genetics, drug administration, interacting species, and the spread of contagious diseases, to showcase the relevancy and wide applicability of abstract mathematical techniques Discussion of various mathematical concepts, such as Markov chains, matrix algebra, eigenvalues, eigenvectors, first-order linear difference equations, and nonlinear first-order difference equations Coverage of difference equations to model a wide range of real-life discrete time situations in diverse areas as well as discussions on matrices to model linear problems Solutions to selected exercises and additional MATLAB codes Explorations of Mathematical Models in Biology with MATLAB is an ideal textbook for upper-undergraduate courses in mathematical models in biology, theoretical ecology, bioeconomics, forensic science, applied mathematics, and environmental science. The book is also an excellent reference for biologists, ecologists, mathematicians, biomathematicians, and environmental and resource economists.

Explorations in Mathematical Anthropology
Explorations in Mathematical Anthropology

Author: Paul Kay

Publisher: Mit Press

Published: 1974-10-01

Total Pages: 304

ISBN-13: 9780262610193

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This is an excellent sampling of mathematical, statistical, and computer techniques used by anthropologists to tackle a wide range of substantive problems.The scope of topics considered in this volume is so wide and various as to be an impressive indication of a strong future for mathematics in anthropology. Briefly, such topics include interinformant reliability, cultural distinctiveness in conceptual areas, cultural systems as mental systems of identification, classification, evaluation and action, diffusional versus functional explanations, general interaction theory, kinship terminologies as logical systems, folklore, cultural systems as systems of knowledge and belief, systemic culture patterns, endogamy/exogamy, genealogy, relation of social structure to relational terminology, cultural continuity, and cultural change.