Basic Notions of Algebra PDF Download
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Author: Igor R. Shafarevich
Publisher: Springer Science & Business Media
ISBN: 9783540251774
Category : Mathematics
Languages : en
Pages : 272
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Book Description
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.
Author: Igor R. Shafarevich
Publisher: Springer Science & Business Media
ISBN: 9783540251774
Category : Mathematics
Languages : en
Pages : 272
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Book Description
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.
Author: Anthony W. Knapp
Publisher: Springer Science & Business Media
ISBN: 0817645292
Category : Mathematics
Languages : en
Pages : 762
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Book Description
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.
Author: Aleksej I. Kostrikin
Publisher: Springer
ISBN: 3662396432
Category : Mathematics
Languages : en
Pages : 265
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Book Description
Author: Claude Simpson
Publisher:
ISBN: 9781705347959
Category :
Languages : en
Pages : 187
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Book Description
Book DescriptionBasic Concepts of Algebra is an excellent refresher for algebra. It is also an indispensable reference book re-definitions, theory and steps in solving algebraic problems. It covers a wide range of the necessary concepts and content that will help the learner to develop a good background so as to waltz through algebra. The book has twelve chapters: Numbers; Algebraic Expressions; Indices 1, Roots and Radicals; Indices 2; Equations 1; Equations 2; Inequalities; Factorization; Quadratic Equations; Graphing; Solving Systems of Linear Equations and Logarithms. The goal of this book is to give the learner the necessary and required concepts, skills and knowledge so as to be successful in algebra. It is the author's view that a good grasp of the basic concepts of algebra will enable and encourage competence in statistics, geometry, trigonometry and calculus. The learner is therefore encouraged to go through each topic in this book meticulously and remember to practice questions from the exercises. The concepts are set out in a clear format with definitions, examples and exercises. To make sure that you understand the material, each chapter ends with a summary exercise. You should get the most from this book if you work steadily from the beginning to the end in each chapter. Each chapter has the relevant topics and sub-topics with definitions and examples that will allow the learner to easily workout the problems in the exercises.This book is suitable for high school and first year college students. It may be introduced at the upper elementary level and be used right up to adult education. The book is good for those persons who are a bit rusty in algebra or have forgotten content materials because it has been awhile since they have taken an algebra course. If such is the case then this is the perfect book for you to refresh your skills and sharpen your proficiency in core concepts of algebra.Finally I would like to reiterate that algebra can be fun but the learner has to first get a good grasp of the basic concepts so as to have a rewarding experience which will not only advance competency level in algebra but will be favorable for further studies in mathematics. Remember to make a firm commitment to spend the time to study and practice your algebra.
Author: Bruce Elwyn Meserve
Publisher: Courier Corporation
ISBN: 9780486614700
Category : Mathematics
Languages : en
Pages : 324
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Book Description
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.
Author: Anthony W. Knapp
Publisher: Springer Science & Business Media
ISBN: 0817646132
Category : Mathematics
Languages : en
Pages : 757
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Book Description
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.
Author: Robert B. Ash
Publisher: Courier Corporation
ISBN: 0486318117
Category : Mathematics
Languages : en
Pages : 434
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Book Description
Relations between groups and sets, results and methods of abstract algebra in terms of number theory and geometry, and noncommutative and homological algebra. Solutions. 2006 edition.
Author: W. E. Deskins
Publisher: Courier Corporation
ISBN: 0486158462
Category : Mathematics
Languages : en
Pages : 660
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Book Description
Excellent textbook provides undergraduates with an accessible introduction to the basic concepts of abstract algebra and to the analysis of abstract algebraic systems. Features many examples and problems.
Author: Kingsley Augustine
Publisher:
ISBN:
Category :
Languages : en
Pages : 188
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Book Description
If you have bought any of my books on Simplified Algebra (Volume 1 to 4), then this book might not be for you because this book is an edited version with some corrections and inclusion of solutions to the exercises. However, if you have not bought any of my books on Simplified Algebra (Volume 1 to 4), then you will find this book very useful for learning the basics of Algebra. Simplified Basic Algebra: A Self-Teaching Book for High Schools and Colleges provides an easy way to gain a solid understanding of the basics of algebra in Mathematics. Assuming no background knowledge of the subject, this clear and self teaching guide explains solved problems in ways that are easy to understand. Exercises are given at the end of each chapter for students to use to asses their understanding of the topic. Solutions to the exercises are provided at the end of the book. This maths book is an ideal resource for high school students and college students taking algebra courses, for students taking higher level courses needing to refresh their knowledge, and for those preparing for admission and need to take entrance test or exam. Topics covered in this e-book include: Basic arithmetic operations Laws of indices Linear and quadratic equations Change of subject of formulae Simultaneous equations Word problems forming linear, simultaneous and quadratic equations Introductory logical reasoning Variation Linear and quadratic inequality Introductory vector algebra ...and more! A self-guided approach which enables you to move through the material at your own pace―gradually building upon your knowledge while you strengthen your critical thinking and problem-solving skills. This powerful learning resource features: A step-by-step method proven to increase your understanding of the fundamental concepts in algebra Emphasis on important basics, with clear explanations to ensure that you comprehend the material quickly Many worked examples with concise, student-friendly approach to the worked examples Exercises at the end of each chapter. Solutions to the exercises are at the end of the book so that students can asses their understanding of each topic. Simplified Basic Algebra: A Self-Teaching Book for High Schools and Colleges breaks down difficult calculations into simpler steps. Whether you are studying Algebra in school and you are looking for a little help making sense of what is being taught in class, or you are just into learning new things, Simplified Basic Algebra gets you rolling with all the basics you need. This worked examples-packed math book puts you on the fast-track to mastering the basics of algebra.
Author: Balwant Singh
Publisher: World Scientific
ISBN: 9814313629
Category : Mathematics
Languages : en
Pages : 405
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Book Description
This textbook, set for a one or two semester course in commutative algebra, provides an introduction to commutative algebra at the postgraduate and research levels. The main prerequisites are familiarity with groups, rings and fields. Proofs are self-contained. The book will be useful to beginners and experienced researchers alike. The material is so arranged that the beginner can learn through self-study or by attending a course. For the experienced researcher, the book may serve to present new perspectives on some well-known results, or as a reference.
