The Complete Book Of Algebra And Geometry
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| Author | : American Education Publishing |
| Publisher | : American Education Publishing |
| Total Pages | : 352 |
| Release | : 2005-11-15 |
| Genre | : Juvenile Nonfiction |
| ISBN | : 9780769643304 |
The Complete Book of Algebra and Geometry provides 352 pages of fun exercises that teach students in grades 5 and 6 key lessons in higher math concepts, skills, and strategies! Order of operations, variables, expressions, integers, exponents, rays, and angles are just a few of the many skills covered in this comprehensive text. It also includes a complete answer key, user-friendly activities, and easy-to-follow instructions. --Over 4 million in print! Designed by leading experts, books in the Complete Book series help children in grades preschool-6 build a solid foundation in key subject areas for learning success. Complete Books are the most thorough and comprehensive learning guides available, offering high-interest lessons to encourage learning and full-color illustrations to spark interest. Each book also features challenging concepts and activities to motivate independent study, a fun page of stickers, and a complete answer key to measure performance and guide instruction.
| Author | : Alan F. Beardon |
| Publisher | : Cambridge University Press |
| Total Pages | : 340 |
| Release | : 2005-05-12 |
| Genre | : Mathematics |
| ISBN | : 1139443496 |
Describing two cornerstones of mathematics, this basic textbook presents a unified approach to algebra and geometry. It covers the ideas of complex numbers, scalar and vector products, determinants, linear algebra, group theory, permutation groups, symmetry groups and aspects of geometry including groups of isometries, rotations, and spherical geometry. The book emphasises the interactions between topics, and each topic is constantly illustrated by using it to describe and discuss the others. Many ideas are developed gradually, with each aspect presented at a time when its importance becomes clearer. To aid in this, the text is divided into short chapters, each with exercises at the end. The related website features an HTML version of the book, extra text at higher and lower levels, and more exercises and examples. It also links to an electronic maths thesaurus, giving definitions, examples and links both to the book and to external sources.
| Author | : Hongxi Wu |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 375 |
| Release | : 2020-09-08 |
| Genre | : Education |
| ISBN | : 1470456761 |
This is the second of three volumes that, together, give an exposition of the mathematics of grades 9â12 that is simultaneously mathematically correct and grade-level appropriate. The volumes are consistent with CCSSM (Common Core State Standards for Mathematics) and aim at presenting the mathematics of Kâ12 as a totally transparent subject. The first part of this volume is devoted to the study of standard algebra topics: quadratic functions, graphs of equations of degree 2 in two variables, polynomials, exponentials and logarithms, complex numbers and the fundamental theorem of algebra, and the binomial theorem. Having translations and the concept of similarity at our disposal enables us to clarify the study of quadratic functions by concentrating on their graphs, the same way the study of linear functions is greatly clarified by knowing that their graphs are lines. We also introduce the concept of formal algebra in the study of polynomials with complex coefficients. The last three chapters in this volume complete the systematic exposition of high school geometry that is consistent with CCSSM. These chapters treat the geometry of the triangle and the circle, ruler and compass constructions, and a general discussion of axiomatic systems, including non-Euclidean geometry and the celebrated work of Hilbert on the foundations. This book should be useful for current and future teachers of Kâ12 mathematics, as well as for some high school students and for education professionals.
| Author | : Mark V. Lawson |
| Publisher | : CRC Press |
| Total Pages | : 310 |
| Release | : 2016-11-25 |
| Genre | : Mathematics |
| ISBN | : 1482246503 |
Algebra & Geometry: An Introduction to University Mathematics provides a bridge between high school and undergraduate mathematics courses on algebra and geometry. The author shows students how mathematics is more than a collection of methods by presenting important ideas and their historical origins throughout the text. He incorporates a hands-on approach to proofs and connects algebra and geometry to various applications. The text focuses on linear equations, polynomial equations, and quadratic forms. The first several chapters cover foundational topics, including the importance of proofs and properties commonly encountered when studying algebra. The remaining chapters form the mathematical core of the book. These chapters explain the solution of different kinds of algebraic equations, the nature of the solutions, and the interplay between geometry and algebra
| Author | : Steven Dale Cutkosky |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 498 |
| Release | : 2018-06-01 |
| Genre | : Mathematics |
| ISBN | : 1470435187 |
This book presents a readable and accessible introductory course in algebraic geometry, with most of the fundamental classical results presented with complete proofs. An emphasis is placed on developing connections between geometric and algebraic aspects of the theory. Differences between the theory in characteristic and positive characteristic are emphasized. The basic tools of classical and modern algebraic geometry are introduced, including varieties, schemes, singularities, sheaves, sheaf cohomology, and intersection theory. Basic classical results on curves and surfaces are proved. More advanced topics such as ramification theory, Zariski's main theorem, and Bertini's theorems for general linear systems are presented, with proofs, in the final chapters. With more than 200 exercises, the book is an excellent resource for teaching and learning introductory algebraic geometry.
| Author | : Dan Pedoe |
| Publisher | : Courier Corporation |
| Total Pages | : 466 |
| Release | : 2013-04-02 |
| Genre | : Mathematics |
| ISBN | : 0486131734 |
Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.
| Author | : John Benson |
| Publisher | : Houghton Mifflin |
| Total Pages | : 0 |
| Release | : 1997 |
| Genre | : Algebra |
| ISBN | : 9780395771242 |
| Author | : Robin Hartshorne |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 511 |
| Release | : 2013-06-29 |
| Genre | : Mathematics |
| ISBN | : 1475738498 |
An introduction to abstract algebraic geometry, with the only prerequisites being results from commutative algebra, which are stated as needed, and some elementary topology. More than 400 exercises distributed throughout the book offer specific examples as well as more specialised topics not treated in the main text, while three appendices present brief accounts of some areas of current research. This book can thus be used as textbook for an introductory course in algebraic geometry following a basic graduate course in algebra. Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.-P. Serre and A. Grothendieck in Paris. He is the author of "Residues and Duality", "Foundations of Projective Geometry", "Ample Subvarieties of Algebraic Varieties", and numerous research titles.
| Author | : Reinhold Baer |
| Publisher | : Courier Corporation |
| Total Pages | : 338 |
| Release | : 2012-06-11 |
| Genre | : Mathematics |
| ISBN | : 0486154661 |
Geared toward upper-level undergraduates and graduate students, this text establishes that projective geometry and linear algebra are essentially identical. The supporting evidence consists of theorems offering an algebraic demonstration of certain geometric concepts. 1952 edition.
| Author | : Igor R. Shafarevich |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 536 |
| Release | : 2012-08-23 |
| Genre | : Mathematics |
| ISBN | : 3642309941 |
This book on linear algebra and geometry is based on a course given by renowned academician I.R. Shafarevich at Moscow State University. The book begins with the theory of linear algebraic equations and the basic elements of matrix theory and continues with vector spaces, linear transformations, inner product spaces, and the theory of affine and projective spaces. The book also includes some subjects that are naturally related to linear algebra but are usually not covered in such courses: exterior algebras, non-Euclidean geometry, topological properties of projective spaces, theory of quadrics (in affine and projective spaces), decomposition of finite abelian groups, and finitely generated periodic modules (similar to Jordan normal forms of linear operators). Mathematical reasoning, theorems, and concepts are illustrated with numerous examples from various fields of mathematics, including differential equations and differential geometry, as well as from mechanics and physics.
