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This intriguing title teaches readers the history of number systems. From Egyptian times to the modern day, this text covers the number systems of the Roman Empire, the Maya Empire, the Inca Empire, Babylon, and India. This full-color book teaches students about operations and algebraic reasoning, introducing them to new concepts and vocabulary terms like place value, rounded numbers, exact numbers, the binary system, and more. Primary sources like...
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This edition includes a modern introduction and a list of suggested further reading. Before 1854 when George Boole published The Laws of Thought, the subject of 'logic' in the western world was entirely restricted to the study of the Aristotelian syllogism, which was as old as 384-322 BC. In this work, Boole introduces a sort of algebra of propositions with probability. Boole's logic forms the basis for present day Boolean Algebra, which in turn lies...
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Click! As their shutters snap, photographers capture special moments in time. Photos give us something to look at while we use our memories to look back in time. Meet a photographer and find out what it takes to be one. Along the way, sharpen your focus on place value. This nonfiction math reader builds literacy skills and math content knowledge, combining informational text, problem-solving, and real-world connections to help students explore math...
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Este manual contiene información básica para un primer curso de álgebra lineal dirigido a estudiantes de primer semestre de ingenierías, economía, administración de empresas o programas en los que esta asignatura sea electiva. Está basado en el texto Introducción al Álgebra lineal, publicado por el sello Editorial Universidad del Norte, y su propósito es que se constituya en una herramienta de apoyo imprescindible para los estudiantes, y...
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This intriguing title teaches readers the history of number systems. From Egyptian times to the modern day, this Spanish text covers the number systems of the Roman Empire, the Maya Empire, the Inca Empire, Babylon, and India. This full-color book teaches students about operations and algebraic reasoning, introducing them to new concepts and vocabulary terms like place value, rounded numbers, exact numbers, the binary system, and more. Primary sources...
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Lie group theory plays an increasingly important role in modern physical theories. Many of its calculations remain fundamentally unchanged from one field of physics to another, altering only in terms of symbols and the language. Using the theory of Lie groups as a unifying vehicle, concepts and results from several fields of physics can be expressed in an extremely economical way. With rigor and clarity, this text introduces upper-level undergraduate...
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This classic monograph on representation theory and the symmetric group is suitable for advanced undergraduates and graduate students of mathematics. The Bulletin of the American Mathematical Society hailed Daniel Edwin Rutherford's treatment as "a long overdue account of Young's representation theory of the symmetric group," noting that "many of Young's complicated proofs have been simplified through a free use of mathematical induction." Starting...
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En el mundo, la mayoría de universidades prestigiadas ofrece posgrados en el área de negocios, utiliza como herramienta de selección de sus alumnos el GMAT (Graduate Management Admission Test), un examen estandarizado que evalúa el razonamiento numérico y verbal de los aspirantes, está elaborado de manera tal que puede determinar las capacidades del alumno, no sus conocimientos. Este examen se presenta por completo en inglés.
El GMAT consta...
10) Algebra Part 1
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Algebra Part 1 is mathematics that are learned typically in elementary school as basic math. This can vary from multiple different math products, but allows the math to stay simple for those new to the math field. Algebra Part 1 can include addition, subtraction, multiplication, division, and possibly even more. Math is important to everyone in this world. Algebra Part 1 will benefit everyone as they head into the real world. Every job will require...
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This classic monograph is the work of a prominent contributor to the field of harmonic analysis. Geared toward advanced undergraduates and graduate students, it focuses on methods related to Gelfand's theory of Banach algebra. Prerequisites include a knowledge of the concepts of elementary modern algebra and of metric space topology. The first three chapters feature concise, self-contained treatments of measure theory, general topology, and Banach...
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Introductory Algebra provides precollege algebra students with the essentials for understanding what algebra is, how it works, and why it useful. It is written in 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 precollege algebra textbook introduces students to the building blocks of algebra that they need to progress...
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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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This concise text is geared toward students of mathematics who have completed a basic college course in algebra. Combining material on ring structure and homological algebra, the treatment offers advanced undergraduate and graduate students practice in the techniques of both areas. After a brief review of basic concepts, the text proceeds to an examination of ring structure, with particular attention to the structure of semisimple rings with minimum...
15) 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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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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Este libro ofrece una mirada a algunas metáforas asociadas con la Revolución Científica de los siglos XVI y XVII. Se dirige a un público no especializado y puede servir como introducción general para estudiantes de pregrado y posgrado, en cursos de historia y filosofía de la ciencia moderna.
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En este texto se introduce el álgebra a partir de la paradoja de Russell y se construye la teoría de conjuntos y los distintos tipos de números con estructuras que permiten evitarla. El autor se recrea en el desarrollo de las álgebras tensoriales y exteriores introducidas a partir de la estructura de módulo, para continuar con las de espacios vectoriales y álgebras asociativas. Termina la obra con el estudio de las álgebras de Clifford y se...
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Designed to acquaint students of particle physics already familiar with SU(2) and SU(3) with techniques applicable to all simple Lie algebras, this text is especially suited to the study of grand unification theories. Author Robert N. Cahn, who is affiliated with the Lawrence Berkeley National Laboratory in Berkeley, California, has provided a new preface for this edition. Subjects include the killing form, the structure of simple Lie algebras and...
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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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