Selected Exercises in Algebra

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Publisher : Springer Nature
ISBN 13 : 303036156X
Total Pages : 252 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Selected Exercises in Algebra by : Rocco Chirivì

Download or read book Selected Exercises in Algebra written by Rocco Chirivì and published by Springer Nature. This book was released on 2020-01-29 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, the first of two volumes, contains over 250 selected exercises in Algebra which have featured as exam questions for the Arithmetic course taught by the authors at the University of Pisa. Each exercise is presented together with one or more solutions, carefully written with consistent language and notation. A distinguishing feature of this book is the fact that each exercise is unique and requires some creative thinking in order to be solved. The themes covered in this volume are: mathematical induction, combinatorics, modular arithmetic, Abelian groups, commutative rings, polynomials, field extensions, finite fields. The book includes a detailed section recalling relevant theory which can be used as a reference for study and revision. A list of preliminary exercises introduces the main techniques to be applied in solving the proposed exam questions. This volume is aimed at first year students in Mathematics and Computer Science.

Exercises in Algebra

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Publisher : CRC Press
ISBN 13 : 9782884490306
Total Pages : 480 pages
Book Rating : 4.4/5 (93 download)

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Book Synopsis Exercises in Algebra by : Alexandra I. Kostrikin

Download or read book Exercises in Algebra written by Alexandra I. Kostrikin and published by CRC Press. This book was released on 1996-02-09 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of exercises for courses in higher algebra, linear algebra and geometry. It is helpful for postgraduate students in checking the solutions and answers to the exercises.

Linear Algebra Problem Book

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1614442126
Total Pages : 333 pages
Book Rating : 4.6/5 (144 download)

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Book Synopsis Linear Algebra Problem Book by : Paul R. Halmos

Download or read book Linear Algebra Problem Book written by Paul R. Halmos and published by American Mathematical Soc.. This book was released on 1995-12-31 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Algebra Problem Book can be either the main course or the dessert for someone who needs linear algebraand today that means every user of mathematics. It can be used as the basis of either an official course or a program of private study. If used as a course, the book can stand by itself, or if so desired, it can be stirred in with a standard linear algebra course as the seasoning that provides the interest, the challenge, and the motivation that is needed by experienced scholars as much as by beginning students. The best way to learn is to do, and the purpose of this book is to get the reader to DO linear algebra. The approach is Socratic: first ask a question, then give a hint (if necessary), then, finally, for security and completeness, provide the detailed answer.

Introduction to Applied Linear Algebra

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Publisher : Cambridge University Press
ISBN 13 : 1316518965
Total Pages : 477 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Introduction to Applied Linear Algebra by : Stephen Boyd

Download or read book Introduction to Applied Linear Algebra written by Stephen Boyd and published by Cambridge University Press. This book was released on 2018-06-07 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Exercises And Problems In Linear Algebra

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Publisher : World Scientific
ISBN 13 : 9811220425
Total Pages : 220 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Exercises And Problems In Linear Algebra by : John M Erdman

Download or read book Exercises And Problems In Linear Algebra written by John M Erdman and published by World Scientific. This book was released on 2020-09-28 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains an extensive collection of exercises and problems that address relevant topics in linear algebra. Topics that the author finds missing or inadequately covered in most existing books are also included. The exercises will be both interesting and helpful to an average student. Some are fairly routine calculations, while others require serious thought.The format of the questions makes them suitable for teachers to use in quizzes and assigned homework. Some of the problems may provide excellent topics for presentation and discussions. Furthermore, answers are given for all odd-numbered exercises which will be extremely useful for self-directed learners. In each chapter, there is a short background section which includes important definitions and statements of theorems to provide context for the following exercises and problems.

Introduction to Linear Algebra

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Publisher : Springer Science & Business Media
ISBN 13 : 1461210704
Total Pages : 300 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Introduction to Linear Algebra by : Serge Lang

Download or read book Introduction to Linear Algebra written by Serge Lang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a short text in linear algebra, intended for a one-term course. In the first chapter, Lang discusses the relation between the geometry and the algebra underlying the subject, and gives concrete examples of the notions which appear later in the book. He then starts with a discussion of linear equations, matrices and Gaussian elimination, and proceeds to discuss vector spaces, linear maps, scalar products, determinants, and eigenvalues. The book contains a large number of exercises, some of the routine computational type, while others are conceptual.

Exercises in Modules and Rings

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Publisher : Springer Science & Business Media
ISBN 13 : 0387488995
Total Pages : 427 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis Exercises in Modules and Rings by : T.Y. Lam

Download or read book Exercises in Modules and Rings written by T.Y. Lam and published by Springer Science & Business Media. This book was released on 2009-12-08 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers a compendium of exercises of varying degree of difficulty in the theory of modules and rings. It is the companion volume to GTM 189. All exercises are solved in full detail. Each section begins with an introduction giving the general background and the theoretical basis for the problems that follow.

Exercises in Algebra

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Publisher :
ISBN 13 :
Total Pages : 194 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Exercises in Algebra by : Edward Rutledge Robbins

Download or read book Exercises in Algebra written by Edward Rutledge Robbins and published by . This book was released on 1904 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Exercises in Classical Ring Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 1475739877
Total Pages : 299 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Exercises in Classical Ring Theory by : T.Y. Lam

Download or read book Exercises in Classical Ring Theory written by T.Y. Lam and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based in large part on the comprehensive "First Course in Ring Theory" by the same author, this book provides a comprehensive set of problems and solutions in ring theory that will serve not only as a teaching aid to instructors using that book, but also for students, who will see how ring theory theorems are applied to solving ring-theoretic problems and how good proofs are written. The author demonstrates that problem-solving is a lively process: in "Comments" following many solutions he discusses what happens if a hypothesis is removed, whether the exercise can be further generalized, what would be a concrete example for the exercise, and so forth. The book is thus much more than a solution manual.

Challenging Problems in Algebra

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Publisher : Courier Corporation
ISBN 13 : 0486131548
Total Pages : 288 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Challenging Problems in Algebra by : Alfred S. Posamentier

Download or read book Challenging Problems in Algebra written by Alfred S. Posamentier and published by Courier Corporation. This book was released on 2012-05-04 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over 300 unusual problems, ranging from easy to difficult, involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms, more. Detailed solutions, as well as brief answers, for all problems are provided.

Algebraic problems and exercises for high school

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Publisher : Infinite Study
ISBN 13 : 1599733420
Total Pages : 146 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Algebraic problems and exercises for high school by : Ion Goian, Raisa Grigor, Vasile Marin, Florentin Smarandache

Download or read book Algebraic problems and exercises for high school written by Ion Goian, Raisa Grigor, Vasile Marin, Florentin Smarandache and published by Infinite Study. This book was released on 2015-07-01 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:

College Algebra

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Publisher :
ISBN 13 : 9789888407439
Total Pages : 892 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis College Algebra by : Jay Abramson

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

Algebra: Chapter 0

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 147046571X
Total Pages : 713 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Algebra: Chapter 0 by : Paolo Aluffi

Download or read book Algebra: Chapter 0 written by Paolo Aluffi and published by American Mathematical Soc.. This book was released on 2021-11-09 with total page 713 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra: Chapter 0 is a self-contained introduction to the main topics of algebra, suitable for a first sequence on the subject at the beginning graduate or upper undergraduate level. The primary distinguishing feature of the book, compared to standard textbooks in algebra, is the early introduction of categories, used as a unifying theme in the presentation of the main topics. A second feature consists of an emphasis on homological algebra: basic notions on complexes are presented as soon as modules have been introduced, and an extensive last chapter on homological algebra can form the basis for a follow-up introductory course on the subject. Approximately 1,000 exercises both provide adequate practice to consolidate the understanding of the main body of the text and offer the opportunity to explore many other topics, including applications to number theory and algebraic geometry. This will allow instructors to adapt the textbook to their specific choice of topics and provide the independent reader with a richer exposure to algebra. Many exercises include substantial hints, and navigation of the topics is facilitated by an extensive index and by hundreds of cross-references.

Exercises in Algebra

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Author :
Publisher : Routledge
ISBN 13 : 1351449362
Total Pages : 474 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Exercises in Algebra by : AlexandraI. Kostrikin

Download or read book Exercises in Algebra written by AlexandraI. Kostrikin and published by Routledge. This book was released on 2019-01-22 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text contains more than 2000 exercises in algebra. These exercises are currently used in teaching a fundamental course in algebra in the Department of Mechanics and Mathematics at Moscow State University. The text is divided into three parts, which correspond to three semesters of study. Each section contains not only standard exercises, but also more difficult exercises at the end of some sections, these more challenging exercises being marked with asterisks. At the end of the book, results of calculations, a list of notations and basic definitions are given.

Basic Linear Algebra

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Publisher : Springer Science & Business Media
ISBN 13 : 1447106814
Total Pages : 242 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Basic Linear Algebra by : T.S. Blyth

Download or read book Basic Linear Algebra written by T.S. Blyth and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic Linear Algebra is a text for first year students leading from concrete examples to abstract theorems, via tutorial-type exercises. More exercises (of the kind a student may expect in examination papers) are grouped at the end of each section. The book covers the most important basics of any first course on linear algebra, explaining the algebra of matrices with applications to analytic geometry, systems of linear equations, difference equations and complex numbers. Linear equations are treated via Hermite normal forms which provides a successful and concrete explanation of the notion of linear independence. Another important highlight is the connection between linear mappings and matrices leading to the change of basis theorem which opens the door to the notion of similarity. This new and revised edition features additional exercises and coverage of Cramer's rule (omitted from the first edition). However, it is the new, extra chapter on computer assistance that will be of particular interest to readers: this will take the form of a tutorial on the use of the "LinearAlgebra" package in MAPLE 7 and will deal with all the aspects of linear algebra developed within the book.

Matrix Algebra: Exercises and Solutions

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Publisher : Springer Science & Business Media
ISBN 13 : 1461301815
Total Pages : 292 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Matrix Algebra: Exercises and Solutions by : David A. Harville

Download or read book Matrix Algebra: Exercises and Solutions written by David A. Harville and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains over 300 exercises and solutions that together cover a wide variety of topics in matrix algebra. They can be used for independent study or in creating a challenging and stimulating environment that encourages active engagement in the learning process. The requisite background is some previous exposure to matrix algebra of the kind obtained in a first course. The exercises are those from an earlier book by the same author entitled Matrix Algebra From a Statistician's Perspective. They have been restated (as necessary) to stand alone, and the book includes extensive and detailed summaries of all relevant terminology and notation. The coverage includes topics of special interest and relevance in statistics and related disciplines, as well as standard topics. The overlap with exercises available from other sources is relatively small. This collection of exercises and their solutions will be a useful reference for students and researchers in matrix algebra. It will be of interest to mathematicians and statisticians.

Modern Classical Homotopy Theory

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Publisher : American Mathematical Society
ISBN 13 : 1470471639
Total Pages : 862 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Modern Classical Homotopy Theory by : Jeffrey Strom

Download or read book Modern Classical Homotopy Theory written by Jeffrey Strom and published by American Mathematical Society. This book was released on 2023-01-19 with total page 862 pages. Available in PDF, EPUB and Kindle. Book excerpt: The core of classical homotopy theory is a body of ideas and theorems that emerged in the 1950s and was later largely codified in the notion of a model category. This core includes the notions of fibration and cofibration; CW complexes; long fiber and cofiber sequences; loop spaces and suspensions; and so on. Brown's representability theorems show that homology and cohomology are also contained in classical homotopy theory. This text develops classical homotopy theory from a modern point of view, meaning that the exposition is informed by the theory of model categories and that homotopy limits and colimits play central roles. The exposition is guided by the principle that it is generally preferable to prove topological results using topology (rather than algebra). The language and basic theory of homotopy limits and colimits make it possible to penetrate deep into the subject with just the rudiments of algebra. The text does reach advanced territory, including the Steenrod algebra, Bott periodicity, localization, the Exponent Theorem of Cohen, Moore, and Neisendorfer, and Miller's Theorem on the Sullivan Conjecture. Thus the reader is given the tools needed to understand and participate in research at (part of) the current frontier of homotopy theory. Proofs are not provided outright. Rather, they are presented in the form of directed problem sets. To the expert, these read as terse proofs; to novices they are challenges that draw them in and help them to thoroughly understand the arguments.