Download or read book Fundamental Concepts of Algebra written by Bruce Elwyn Meserve and published by Courier Corporation. This book was released on 1982-01-01 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uncommonly interesting introduction illuminates complexities of higher mathematics while offering a thorough understanding of elementary mathematics. Covers development of complex number system and elementary theories of numbers, polynomials and operations, determinants, matrices, constructions and graphical representations. Several exercises — without solutions.
Download or read book Basic Notions of Algebra written by Igor R. Shafarevich and published by Springer Science & Business Media. This book was released on 2005-04-13 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wholeheartedly recommended to every student and user of mathematics, this is an extremely original and highly informative essay on algebra and its place in modern mathematics and science. From the fields studied in every university maths course, through Lie groups to cohomology and category theory, the author shows how the origins of each concept can be related to attempts to model phenomena in physics or in other branches of mathematics. Required reading for mathematicians, from beginners to experts.
Download or read book Basic Algebra written by Anthony W. Knapp and published by Springer Science & Business Media. This book was released on 2007-07-28 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole. The presentation includes blocks of problems that introduce additional topics and applications to science and engineering to guide further study. Many examples and hundreds of problems are included, along with a separate 90-page section giving hints or complete solutions for most of the problems.
Download or read book Fundamental Concepts of Abstract Algebra written by Gertrude Ehrlich and published by Courier Corporation. This book was released on 2013-05-13 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This undergraduate text presents extensive coverage of set theory, groups, rings, modules, vector spaces, and fields. It offers numerous examples, definitions, theorems, proofs, and practice exercises. 1991 edition.
Download or read book Fundamental Concepts of Algebra written by and published by Academic Press. This book was released on 1957-01-01 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamental Concepts of Algebra
Download or read book Basic Concepts of Algebraic Topology written by F.H. Croom and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is intended as a one semester introduction to algebraic topology at the undergraduate and beginning graduate levels. Basically, it covers simplicial homology theory, the fundamental group, covering spaces, the higher homotopy groups and introductory singular homology theory. The text follows a broad historical outline and uses the proofs of the discoverers of the important theorems when this is consistent with the elementary level of the course. This method of presentation is intended to reduce the abstract nature of algebraic topology to a level that is palatable for the beginning student and to provide motivation and cohesion that are often lacking in abstact treatments. The text emphasizes the geometric approach to algebraic topology and attempts to show the importance of topological concepts by applying them to problems of geometry and analysis. The prerequisites for this course are calculus at the sophomore level, a one semester introduction to the theory of groups, a one semester introduc tion to point-set topology and some familiarity with vector spaces. Outlines of the prerequisite material can be found in the appendices at the end of the text. It is suggested that the reader not spend time initially working on the appendices, but rather that he read from the beginning of the text, referring to the appendices as his memory needs refreshing. The text is designed for use by college juniors of normal intelligence and does not require "mathematical maturity" beyond the junior level.
Download or read book The Fundamental Theorem of Algebra written by Benjamin Fine and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental theorem of algebra states that any complex polynomial must have a complex root. This book examines three pairs of proofs of the theorem from three different areas of mathematics: abstract algebra, complex analysis and topology. The first proof in each pair is fairly straightforward and depends only on what could be considered elementary mathematics. However, each of these first proofs leads to more general results from which the fundamental theorem can be deduced as a direct consequence. These general results constitute the second proof in each pair. To arrive at each of the proofs, enough of the general theory of each relevant area is developed to understand the proof. In addition to the proofs and techniques themselves, many applications such as the insolvability of the quintic and the transcendence of e and pi are presented. Finally, a series of appendices give six additional proofs including a version of Gauss'original first proof. The book is intended for junior/senior level undergraduate mathematics students or first year graduate students, and would make an ideal "capstone" course in mathematics.
Download or read book Algebra Essentials written by David A. Santos and published by Mercury Learning and Information. This book was released on 2016-03-09 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for the person who needs to learn algebra as a prerequisite for further study or for a refresher course before moving on, the book covers all of the basic algebra concepts such as variables, equations, quadratic equations, factoring algebraic expressions, exponents, roots, radicals, and more. It includes numerous step by step examples and practice exercises that help the reader to understand the topics in a “self-study” format, designed for those who are uncomfortable with mathematics. The companion disc includes self-correcting exercises and all the figures from the text. Instructor resources available for use in course adoptions. eBook Customers: Companion files are available for downloading with order number/proof of purchase by writing to the publisher at [email protected]. FEATURES: •Presents basic concepts in an easy to understand style, designed for those who are uncomfortable with mathematics •Provides hundreds of step by step examples and practice exercises that help the reader to understand the topics in a “self-study” format •Includes a companion disc with self-correcting exercises and all the figures from the text BRIEF TABLE OF CONTENTS: Part I. First Impressions. Why Study Algebra? Part II. Arithmetic Review. Arithmetic Operations. Part III. Algebraic Operations. Addition and Subtraction. Multiplication. Division. Part IV. Equations. Linear Equations in One Variable Expressions. Quadratic Equations in One Variable. Expressions. Part V. Inequalities. Linear Inequalities. Appendices. Review Exercises. Answers Keys. Theorems, Corollaries, & Proofs. Key Words. Index.
Download or read book Lectures on Fundamental Concepts of Algebra and Geometry microform written by John Wesley Young and published by . This book was released on 1911 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algebra I written by Aleksej I. Kostrikin and published by Springer. This book was released on 2013-12-01 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Algebra Teacher s Guide to Reteaching Essential Concepts and Skills written by Judith A. Muschla and published by John Wiley & Sons. This book was released on 2011-11-15 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Easy to apply lessons for reteaching difficult algebra concepts Many students have trouble grasping algebra. In this book, bestselling authors Judith, Gary, and Erin Muschla offer help for math teachers who must instruct their students (even those who are struggling) about the complexities of algebra. In simple terms, the authors outline 150 classroom-tested lessons, focused on those concepts often most difficult to understand, in terms that are designed to help all students unravel the mysteries of algebra. Also included are reproducible worksheets that will assist teachers in reviewing and reinforcing algebra concepts and key skills. Filled with classroom-ready algebra lessons designed for students at all levels The 150 mini-lessons can be tailored to a whole class, small groups, or individual students who are having trouble This practical, hands-on resource will help ensure that students really get the algebra they are learning
Download or read book College Algebra written by Jay Abramson and published by . This book was released on 2018-01-07 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt: College Algebra provides a comprehensive exploration of algebraic principles and meets scope and sequence requirements for a typical introductory algebra course. The modular approach and richness of content ensure that the book meets the needs of a variety of courses. College Algebra offers a wealth of examples with detailed, conceptual explanations, building a strong foundation in the material before asking students to apply what they've learned. Coverage and Scope In determining the concepts, skills, and topics to cover, we engaged dozens of highly experienced instructors with a range of student audiences. The resulting scope and sequence proceeds logically while allowing for a significant amount of flexibility in instruction. Chapters 1 and 2 provide both a review and foundation for study of Functions that begins in Chapter 3. The authors recognize that while some institutions may find this material a prerequisite, other institutions have told us that they have a cohort that need the prerequisite skills built into the course. Chapter 1: Prerequisites Chapter 2: Equations and Inequalities Chapters 3-6: The Algebraic Functions Chapter 3: Functions Chapter 4: Linear Functions Chapter 5: Polynomial and Rational Functions Chapter 6: Exponential and Logarithm Functions Chapters 7-9: Further Study in College Algebra Chapter 7: Systems of Equations and Inequalities Chapter 8: Analytic Geometry Chapter 9: Sequences, Probability and Counting Theory
Download or read book Basic Algebra I written by Nathan Jacobson and published by Courier Corporation. This book was released on 2012-12-11 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic text and standard reference for a generation, this volume covers all undergraduate algebra topics, including groups, rings, modules, Galois theory, polynomials, linear algebra, and associative algebra. 1985 edition.
Download or read book Jousting Armadillos An Introduction to Algebra Student Text and Workbook written by Linus Christian Rollman and published by Arbor Center for Teaching. This book was released on 2009-11 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: First in the Arbor Algebra series. A writing-based, common sense, whimsical & engaging introduction to algebra for middle-grade math students.
Download or read book Algebra I For Dummies written by Mary Jane Sterling and published by John Wiley & Sons. This book was released on 2016-05-26 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra I For Dummies, 2nd Edition (9781119293576) was previously published as Algebra I For Dummies, 2nd Edition (9780470559642). While this version features a new Dummies cover and design, the content is the same as the prior release and should not be considered a new or updated product. Factor fearlessly, conquer the quadratic formula, and solve linear equations There's no doubt that algebra can be easy to some while extremely challenging to others. If you're vexed by variables, Algebra I For Dummies, 2nd Edition provides the plain-English, easy-to-follow guidance you need to get the right solution every time! Now with 25% new and revised content, this easy-to-understand reference not only explains algebra in terms you can understand, but it also gives you the necessary tools to solve complex problems with confidence. You'll understand how to factor fearlessly, conquer the quadratic formula, and solve linear equations. Includes revised and updated examples and practice problems Provides explanations and practical examples that mirror today's teaching methods Other titles by Sterling: Algebra II For Dummies and Algebra Workbook For Dummies Whether you're currently enrolled in a high school or college algebra course or are just looking to brush-up your skills, Algebra I For Dummies, 2nd Edition gives you friendly and comprehensible guidance on this often difficult-to-grasp subject.
Download or read book Advanced Algebra written by Anthony W. Knapp and published by Springer Science & Business Media. This book was released on 2007-10-11 with total page 757 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Advanced Algebra includes chapters on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems. Together the two books give the reader a global view of algebra and its role in mathematics as a whole.
Download or read book The basic concepts of algebra written by Dorothy Ann Vrba and published by . This book was released on 1960 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
