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This accessible, undergraduate-level text illustrates the role of algebras of holomorphic functions in the solution of an important engineering problem: the stabilization of a linear control system. Its concise and self-contained treatment avoids the use of higher mathematics and forms a bridge to more advanced treatments. The treatment consists of two components: the algebraic framework, which serves as the abstract language for posing and solving...
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Need some serious help solving equations? Totally frustrated by polynomials, parabolas and that dreaded little x?
THE MATH DUDE IS HERE TO HELP!
Jason Marshall, popular podcast host known to his fans as The Math Dude, understands that algebra can cause agony. But, he's determined to show you that you can solve those confusing, scream, inducing math problems, and it won't be as hard as you think!
Jason kicks things off with a basic-training boot...
23) Boolean Algebra
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Famous for the number-theoretic first-order statement known as Goodstein's theorem, author R. L. Goodstein was also well known as a distinguished educator. With this text, he offers an elementary treatment that employs Boolean algebra as a simple medium for introducing important concepts of modern algebra. The text begins with an informal introduction to the algebra of classes, exploring union, intersection, and complementation; the commutative, associative,...
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The third book in Peterson's NEW series of guides for visual learners, this volume covers basic algebra topics that are essential for success on standardized tests. egghead's Guide to Algebra can also be used in tandem with Peterson's egghead's Guide to Geometry, as it teaches critical algebra skills necessary for solving geometry problems. Topics include variables & constants, terms & expressions, equations, binomials & polynomials, inequalities,...
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Meticulous and complete, this presentation of Galois' theory of algebraic equations is geared toward upper-level undergraduate and graduate students. The theories of both Lagrange and Galois are developed in logical rather than historical form. And they are given a more thorough exposition than is customary. For this reason, and also because the author concentrates on concrete applications of algebraic theory, Algebraic Equations is an excellent supplementary...
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World-famous mathematician John H. Conway based this classic text on a 1966 course he taught at Cambridge University. Geared toward graduate students of mathematics, it will also prove a valuable guide to researchers and professional mathematicians. His topics cover Moore's theory of experiments, Kleene's theory of regular events and expressions, Kleene algebras, the differential calculus of events, factors and the factor matrix, and the theory of...
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Segunda edición corregida y aumentada de esta obra, que ofrece una clara y concisa introducción al álgebra. Su objetivo, el gran teorema de Galois sobre resolubilidad de ecuaciones polinómicas por radicales, es uno de los teoremas más fascinantes de las matemáticas de todos los tiempos. La primera parte del libro se centra en la teoría de grupos y concluye con una nueva demostración del teorema fundamental de los grupos abelianos finitos....
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Richard M. Weiss is William Walker Professor of Mathematics at Tufts University. He is the author of The Structure of Spherical Buildings (Princeton) and the coauthor (with Jacques Tits) of Moufang Polygons. He received a Humboldt Research Prize in 2004.
This book introduces a new class of non-associative algebras related to certain exceptional algebraic groups and their associated buildings. Richard Weiss develops a theory of these "quadrangular...
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A distinguished mathematician and educator enlivens abstract discussions of arithmetic, algebra, and analysis by means of graphical and geometrically perceptive methods. His three-part treatment begins with topics associated with arithmetic, including calculating with natural numbers, the first extension of the notion of number, special properties of integers, and complex numbers. Algebra-related subjects constitute the second part, which examines...
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As the author notes in the preface, "The purpose of this book is to acquaint a broad spectrum of students with what is today known as 'abstract algebra.'" Written for a one-semester course, this self-contained text includes numerous examples designed to base the definitions and theorems on experience, to illustrate the theory with concrete examples in familiar contexts, and to give the student extensive computational practice. The first three chapters...
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REA's Algebra and Trigonometry Super Review Get all you need to know with Super Reviews! 2nd Edition REA's Algebra and Trigonometry Super Review contains an in-depth review that explains everything high school and college students need to know about the subject. Written in an easy-to-read format, this study guide is an excellent refresher and helps students grasp the important elements quickly and effectively. Our Algebra and Trigonometry Super Review...
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In "Why Math isn't an Awful Nerd" Jason Marshall, shows readers how insanely easy and downright elegant math can be. Marshall focuses on perfect squares and patterns (hint: they're called perfect squares for a reason), and clearly-and most importantly concisely-explains step-by-step how numbers work. Multiple games and puzzles re-enforce the concepts Marshall presents, making for a crazy fun, accidental learning experience. Perfect for anyone looking...
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The Problem Solvers are an exceptional series of books that are thorough, unusually well-organized, and structured in such a way that they can be used with any text. No other series of study and solution guides has come close to the Problem Solvers in usefulness, quality, and effectiveness. Educators consider the Problem Solvers the most effective series of study aids on the market. Students regard them as most helpful for their school work and studies....
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The students in this book are learning about gardens. One grade is planting a pizza garden, and another grade is planting a storybook garden. Although they are planting different things, they will all use patterns in their planning! With vibrant photos, math charts and diagrams, grade-appropriate text, and informational text features to help navigate the text, students will learn about practical, real-world applications of math skills as they learn...
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Alta California contained most of the land that makes up what is now the Southwest. In 1821, the land was controlled by Mexico. Its leaders made many changes including ending the Spanish mission system. Alta California became more diverse as its economy grew and changed. Explore the history of Alta California with this primary source title that builds students' reading skills and promotes civics and social studies content literacy. The dynamic primary...
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How long is a pig's tail? How wide is a beaver's tail? How heavy is a whale's tail? Beginning readers will enjoy learning basic measurement and data concepts with this brightly illustrated book that features animals with different types of tails. With vivid images and easy-to-read text, this full-color book develops students' math and reading skills and introduces them to early STEM themes. The Math Talk section includes questions that will increase...
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This lively survey starts with simple arithmetic and algebra and proceeds by gradual steps through graphs, logarithms, and trigonometry to calculus and the world of numbers. Generations of readers have found it the ideal introduction to mathematics, offering accessible explanations of how theory arises from real-life applications. "The main object of this book is to dispel the fear of mathematics," declares author W. W. Sawyer, adding that "Many people...
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Elementary Algebra provides precollege algebra students with the essentials for understanding what algebra is, how it works, and why it so useful. It is, written with plain language and includes, annotated examples and practice exercises so that even students with an aversion to math will understand these ideas and learn how to apply them. This textbook expands on algebraic concepts that students need to progress with mathematics at the college level,...
40) Basic Algebra II
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A classic text and standard reference for a generation, this volume and its companion are the work of an expert algebraist who taught at Yale for more than three decades. Nathan Jacobson's books possess a conceptual and theoretical orientation; in addition to their value as classroom texts, they serve as valuable references. Volume II comprises all of the subjects usually covered in a first-year graduate course in algebra. Topics include categories,...
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