Symbolic Algebra
Written by eminent mathematician William Cain, this book is a landmark in the development of algebraic geometry and number theory. With rigorous proofs and clear explanations, Cain lays out the foundations of symbolic algebra and explains how it can be used to solve complex mathematical problems. This book is a must-read for serious students and scholars of algebra and geometry alike.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
New Higher Algebra
Benjamin Greenleaf's "New Higher Algebra" is a comprehensive guide to algebraic theory and practice for students at the high school, academy, and college levels. The book covers a range of topics, from the basic principles of algebra to advanced concepts like the theory of equations and higher logarithms. With its clear explanations and helpful examples, this book is an essential resource for anyone studying algebra.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
A Course in Linear Algebra
Designed for senior undergraduate and graduate courses in mathematics and engineering, this self-contained textbook discusses key topics in linear algebra with real-life applications. Split into two parts--theory in part I and solved problems in part II--the book makes both theoretical and applied linear algebra easily accessible. Topics such as sets and functions, vector spaces, linear transformations, eigenvalues and eigenvectors, normed spaces, and inner product spaces are discussed in part I; while in part II, over 500 meticulously solved problems show how to use linear algebra in real-life situations. A must-have book for linear algebra courses; it also serves as valuable supplementary material.
An Introd. to Algebra Upon the Inductive Method of Instruction
An Introd to Algebra Upon the Inductive Method of Instruction is a classic mathematical textbook, written by Warren Colburn. The book teaches algebra using the inductive method of instruction, which emphasizes problem-solving and discovery. This book is a must-read for anyone studying mathematics.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Higher Algebra
Higher Algebra provides a comprehensive and modern treatment of the subject. Suitable for courses in advanced algebra, the book addresses topics such as group theory, ring theory, and field theory. The clear and concise exposition is accompanied by numerous examples and exercises that help sharpen the reader's understanding of algebraic concepts. This book is an essential resource for anyone interested in abstract algebra.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
A Key to the Last New-York Edition of Bonnycastle's Algebra
This book offers a key to understanding the latest editions of Bonnycastle's Algebra. It contains solutions to all the questions and is presented in a clear and concise manner. This book is an essential resource for students and teachers of algebra.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
College Algebra
Written for college-level students, this book provides a comprehensive guide to algebra principles and techniques. Covering a wide range of topics, including linear equations, polynomials, and functions, this book offers a thorough grounding in the fundamentals of algebra, and is an essential resource for anyone taking a college-level algebra course. With its clear explanations and step-by-step examples, this book is sure to help students achieve success in their studies.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Higher Algebra
Higher Algebra provides a comprehensive and modern treatment of the subject. Suitable for courses in advanced algebra, the book addresses topics such as group theory, ring theory, and field theory. The clear and concise exposition is accompanied by numerous examples and exercises that help sharpen the reader's understanding of algebraic concepts. This book is an essential resource for anyone interested in abstract algebra.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
A Treatise on Algebra for the Use of Schools and Colleges
In this comprehensive textbook, Stephen Chase provides a detailed overview of algebra, from basic concepts to advanced topics. His clear explanations and rigorous approach make this book an ideal resource for students and educators seeking a deeper understanding of algebra. With numerous examples and exercises, it is an essential tool for anyone interested in mathematics and education.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Introduction to Algebra
Introduction to Algebra is a classic mathematics textbook that has been used by generations of students. The book covers a wide range of algebraic topics, including equations, functions, and graphs. Edward Olney was a prominent mathematician and educator who taught at Columbia University and the City College of New York. His writing is clear and concise, making this book a valuable resource for anyone studying algebra.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
De Arte Logistica Joannis Naperi Merchistonii Baronis Libri Qui Supersunt
This book is an edition of the mathematical works of John Napier, a Scottish mathematician who is best known for his development of logarithms. The edition was published by the Bannatyne Club, a Scottish literary society, in the mid-19th century, and includes Napier's treatise on logarithms, as well as other mathematical treatises and letters.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Complete Algebra
This comprehensive guide to algebra covers topics such as quadratic equations, logarithms, and trigonometric functions. With numerous examples and exercises, this book offers a valuable resource for students and teachers alike.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
The Elements Of Universal Mathematics, Or Algebra
This classic work of mathematics provides a clear and comprehensive introduction to algebra, as well as a sample commentary on Sir Isaac Newton's method of finding divisors. Written by Willem Jacob 's Gravesande, a renowned Dutch mathematician, this book is an indispensable resource for students and scholars of mathematics. A masterpiece of mathematical exposition.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
A Treatise On Algebra
George Peacock's classic treatise on algebra is a must-read for anyone interested in the history of mathematics and mathematical theory. With a clear and engaging writing style, Peacock presents complex concepts in a manner that is accessible and easy to understand, making this an essential resource for students and scholars alike.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Linear Algebra for Earth Scientists
Linear Algebra for Earth Scientists is written for undergraduate and graduate students in Earth and Environmental sciences. It is intended to give students enough background in linear algebra to work with systems of equations and data in geology, hydrology, geophysics, or whatever part of the Earth Sciences they engage with.The book does not presuppose any extensive prior knowledge of linear algebra. Instead, the book builds students up from a low base to a working understanding of the sub t that they can apply to their work, using many familiar examples in the geosciences.Features Suitable for students of Earth and Environmental Sciences Minimal prerequisites -- written in a way that is accessible and engaging for those without a mathematical background All material presented with examples and applications to the Earth Sciences
Algebra 1 Step-by-Step Guide
Unlocking the Mysteries of Algebra with Ease!Are you looking to resolve the complexities of algebra without getting overwhelmed? Your search ends here! Getting on the journey into the world of algebra can often be daunting. With the right guide, the complex becomes clear, the intricate simple. "Algebra 1 Step by Step Guide" is accurately designed to be that essential companion, making the path to algebraic mastery both achievable and enjoyable.Crafted by a team of expert educators with decades of experience, this guide breaks down algebraic concepts into easily understandable components, offering over 2,500 practice problems that cover the depth subjects of Algebra 1. Whether you're a student grappling with quadratic equations or an adult looking to refresh your algebraic skills, this book assists as an encouragement, illuminating the way.Features of the guide: Comprehensive Coverage: All foundational topics of Algebra 1 are presented in a structured manner.Diverse Practice Problems: Engage with a mix of problems that range from basic to challenging, ensuring a well-rounded grasp.Step-by-Step Solutions: Understand the 'why' behind every problem, aiding in concept retention.Strategic Tips and Tricks: Learn effective techniques to solve problems quicker and more accurately.Self-Assessment Tools: Two full-length practice tests to gauge your progress and readiness.User-Friendly Layout: Clearly defined sections, summaries, and ample workspace for practice.With this book in hand, algebraic fluency is not just a goal, but an assured achievement.Presenting the book, a precisely crafted resource that is dedicated to simplifying algebra for every learner, regardless of their prior knowledge.Dive in and discover the joy of understanding and mastering Algebra 1. Published By: Math Notion Incwww.mathnotion.com
Infinite Group Actions on Polyhedra
In the past fifteen years, the theory of right-angled Artin groups and special cube complexes has emerged as a central topic in geometric group theory. This monograph provides an account of this theory, along with other modern techniques in geometric group theory. Structured around the theme of group actions on contractible polyhedra, this book explores two prominent methods for constructing such actions: utilizing the group of deck transformations of the universal cover of a nonpositively curved polyhedron and leveraging the theory of simple complexes of groups. The book presents various approaches to obtaining cubical examples through CAT(0) cube complexes, including the polyhedral product construction, hyperbolization procedures, and the Sageev construction. Moreover, it offers a unified presentation of important non-cubical examples, such as Coxeter groups, Artin groups, and groups that act on buildings. Designed as a resource for graduate students and researchers specializing in geometric group theory, this book should also be of high interest to mathematicians in related areas, such as 3-manifolds.
Fixed Point Theory and Variational Principles in Metric Spaces
The book is designed for undergraduates, graduates, and researchers of mathematics studying fixed point theory or nonlinear analysis. It deals with the fixed point theory for not only single-valued maps but also set-valued maps. The text is divided into three parts: fixed point theory for single-valued mappings, continuity and fixed point aspects of set-valued analysis, and variational principles and their equilibrium problems. It comprises a comprehensive study of these topics and includes all important results derived from them. The applications of fixed point principles and variational principles, and their generalizations to differential equations and optimization are covered in the text. An elementary treatment of the theory of equilibrium problems and equilibrium version of Ekeland's variational principle is also provided. New topics such as equilibrium problems, variational principles, Caristi's fixed point theorem, and Takahashi's minimization theorem with their applications are also included.
Exercises in Linear Algebra and Geometry
This book contains a collection of exercises designed to support and complement the theoretical exposition of standard topics for a first-year course in linear algebra and geometry at the university level.In this context, this exercise book naturally complements the text: F. Bottacin, "Linear Algebra and Geometry," Esculapio, Bologna, which will be referred to for the necessary theoretical concepts.In presenting solutions to the proposed exercises, my primary goal is to teach how to approach and solve problems. For this reason, in many cases, theoretical considerations have been included, and different solution methods have been proposed for the same type of exercise. The reader will thus be able to evaluate, on a case-by-case basis, the advantages and disadvantages of each method
Lectures on Linear Algebra and its Applications
The present book is based on the extensive lecture notes of the author and contains a concise course on Linear Algebra. The sections begin with an intuitive presentation, aimed at the beginners, and then often include rather non-trivial topics and exercises. This makes the book suitable for introductory as well as advanced courses on Linear Algebra.The first part of the book deals with the general idea of systems of linear equations, matrices and eigenvectors. Linear systems of differential equations are developed carefully and in great detail. The last chapter gives an overview of applications to other areas of Mathematics, like calculus and differential geometry. A large number of exercises with selected solutions make this a valuable textbook for students of the topic as well as lecturers, preparing a course on Linear Algebra.
Algebra I
FREE PERSONAL ASSISTANT IS INCLUDED with your purchase. If you have questions with any problems in the book, please go to readablemath.wixsite.com/2020 and click "Ask Fred".A FREE WORKBOOK if you need extra practice. Please go to readablemath.wixsite.com/2020 to request a copy.PERFECT MATERIALS to supplement your child's learning.EXCEPTIONAL for inspiring your child to GET AHEAD and EXCEL in math.GREAT for helping students who struggled in math CLARIFY and REVIEW CONCEPTS.Contains ESSENTIAL lessons for building a STRONG FOUNDATION in math, so your child can succeed in ALGEBRA I, ALGEBRA II, PRE-CALCULUS/TRIGONOMETRY, CALCULUS and BEYOND.For a fraction of the price, your child is guaranteed to learn more from this book than a traditional textbook, as it is full of COMPUTATIONAL TRICKS and IDEAS.It is a MUST-HAVE for all students who want to DEVELOP the CONFIDENCE and ability to perform mathematical tasks at a HIGH LEVEL.I have over 24 years of tutoring experience. I tutor students from 1st grade to college. My past students include those from MIT, U-Penn, UC Berkeley, and more.In addition to having a DOUBLE-MAJOR in Math and Computer Science as an undergrad, I have a MASTER degree from UCLA.
Common Core Math Workbook
Based on Common Core State Standards: Similar to a standardized exam, you can find questions of all types, including multiple-choice, fill-in-the-blank, true or false, match the correct answer, and free-response questions.Recommended by Teachers: These carefully written questions aim to help students reason abstractly and quantitatively using various models, strategies, and problem-solving techniques.Identifying trouble spots and fixing them: This workbook will help students overcome any deficiencies in their understanding of critical concepts and also will help you identify the specific topic that students may require additional practice.Practice all types of questions including free response: The book is comprised of multiple tests for each topic so that your child can have an abundant amount of tests on the same topic.Includes 2 Comprehensive Full-Length Tests: To practice the entire syllabus to prepare for the common core standardized exams.Includes detailed step-by-step answers: The detailed answer explanations in the back of the book help the students understand the topics and gain confidence in solving similar problems and take the Common Core Standardized Exam with Confidence.
Linear Algebra
The purpose of this book is to explain linear algebra clearly for beginners. In doing so, the author states and explains somewhat advanced topics such as Hermitian products and Jordan normal forms. Starting from the definition of matrices, it is made clear with examples that matrices and matrix operation are abstractions of tables and operations of tables. The author also maintains that systems of linear equations are the starting point of linear algebra, and linear algebra and linear equations are closely connected. The solutions to systems of linear equations are found by solving matrix equations in the row-reduction of matrices, equivalent to the Gauss elimination method of solving systems of linear equations. The row-reductions play important roles in calculation in this book. To calculate row-reductions of matrices, the matrices are arranged vertically, which is seldom seen but is convenient for calculation. Regular matrices and determinants of matrices are defined and explained. Furthermore, the resultants of polynomials are discussed as an application of determinants. Next, abstract vector spaces over a field K are defined. In the book, however, mainly vector spaces are considered over the real number field and the complex number field, in case readers are not familiar with abstract fields. Linear mappings and linear transformations of vector spaces and representation matrices of linear mappings are defined, and the characteristic polynomials and minimal polynomials are explained. The diagonalizations of linear transformations and square matrices are discussed, and inner products are defined on vector spaces over the real number field. Real symmetric matrices are considered as well, with discussion of quadratic forms. Next, there are definitions of Hermitian inner products. Hermitian transformations, unitary transformations, normal transformations and the spectral resolution of normal transformations and matrices are explained. The book ends withJordan normal forms. It is shown that any transformations of vector spaces over the complex number field have matrices of Jordan normal forms as representation matrices.
Algebraic Combinatorics and the Monster Group
Covering, arguably, one of the most attractive and mysterious mathematical objects, the Monster group, this text strives to provide an insightful introduction and the discusses the current state of the field. The Monster group is related to many areas of mathematics, as well as physics, from number theory to string theory. This book cuts through the complex nature of the field, highlighting some of the mysteries and intricate relationships involved. Containing many meaningful examples and a manual introduction to the computer package GAP, it provides the opportunity and resources for readers to start their own calculations. Some 20 experts here share their expertise spanning this exciting field, and the resulting volume is ideal for researchers and graduate students working in Combinatorial Algebra, Group theory and related areas.
Textbook on Ordinary Differential Equations
Many scientific and real-world problems that occur in science, engineering, and medicine can be represented in differential equations. There is a vital role for differential equations in studying the behavior of different types of real-world problems. Thus, it becomes crucial to know the existence and uniqueness properties of differential equations and various methods of finding differential equation solutions in explicit form. It is also essential to know different kinds of differential equations in terms of eigenvalues, termed eigenvalue problems, and some special functions used in finding the solution to differential equations. The study of nonlinear problems also plays a significant role in different real-world situations. There is a necessity to know the behavior of solutions of nonlinear differential equations. Still, there are very few forms of differential equations whose solution can be found in explicit form. For the differential equations whose solutions cannot be found in explicit form, one has to study the properties of solutions of the given differential equation to guess an approximate solution of it. This book aims to introduce all the necessary topics of differential equations in one book so that laymen can easily understand the subject and apply it in their research areas. The novel approach used in this book is the introduction of different analytical methods for finding the solution of differential equations with sufficient theorems, corollaries, and examples, and the geometrical interpretations in each topic.This textbook is intended to study the theory and methods of finding the explicit solutions to differential equations, wherever possible, and in the absence of finding explicit solutions, it is intended to study the properties of solutions to the given differential equations. This book is based on syllabi of the theory of differential equations prescribed for postgraduate students of mathematics and applied mathematics in different institutions and universities of India and abroad. This book will be helpful for competitive examinations as well.
Derived Algebraic Geometry
The second edition presents schemes, simplicial sets, higher categories, model categories, derived algebraic geometry, and spectral algebraic geometry in a self-contained manner. It discusses Motives, Goodwillie Calculus, Higher Galois, Supersymmetry, and topics in physical mathematics. A new chapter on Derived Motivic Spectrais now included as is an extended introduction to Infinity Category as well as a revised chapter on Stacks.
Modern Trends in Algebra and Representation Theory
Expanding upon the material delivered during the LMS Autumn Algebra School 2020, this volume reflects the fruitful connections between different aspects of representation theory. Each survey article addresses a specific subject from a modern angle, beginning with an exploration of the representation theory of associative algebras, followed by the coverage of important developments in Lie theory in the past two decades, before the final sections introduce the reader to three strikingly different aspects of group theory. Written at a level suitable for graduate students and researchers in related fields, this book provides pure mathematicians with a springboard into the vast and growing literature in each area.
Algebraical Exercises and Problems With Elliptical Solutions
This book is a valuable resource for anyone studying algebra and looking to sharpen their problem-solving skills. The author, Hugh Mcoll, presents a series of exercises and problems with elliptical solutions that will challenge and inspire students. Each problem is carefully explained and accompanied by detailed solutions that will help students develop a deeper understanding of algebraic concepts.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Elements of Algebra
A classic text on algebra, Davies' book is an essential resource for anyone studying the subject. Covering everything from basic principles to advanced techniques, the book is designed to help readers develop a deep understanding of algebra and its applications. Special attention is paid to Sturm's Theorem, a powerful tool for solving equations that has important applications in fields ranging from physics to engineering.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
The Elements Of Universal Mathematics, Or Algebra
This classic work of mathematics provides a clear and comprehensive introduction to algebra, as well as a sample commentary on Sir Isaac Newton's method of finding divisors. Written by Willem Jacob 's Gravesande, a renowned Dutch mathematician, this book is an indispensable resource for students and scholars of mathematics. A masterpiece of mathematical exposition.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
A serious student’s guide to algebraic expressions
About the bookIt focuses on the transformation, simplification, and evaluation of algebraic expressions. This book does not encompass the entirety of elementary algebra, however. For instance, it does not include topics such as equations and inequalities, and it does not involve complex numbers. In short, this book is exclusively devoted to building the core skill of manipulating algebraic expressions, which is foundational for any other mathematical study.It is a comprehensive guide that contains: (1) Detailed explanation of topics (2) Worked examples (3) Abundant exercises of increasing difficulty level (4) Solutions to all exercises. It is tailored for dedicated students who are ready to navigate the content diligently, embracing ``productive struggle" with a positive attitude. MotivationThere exists a substantial disparity between the content students are taught in secondary schools and the real-world challenges they encounter in colleges, universities, and workplaces. During their time in secondary school, students learn to manipulate only very simple algebraic expressions. The school curriculum does not pay enough attention to developing the necessary depth in this aspect. Yet, as students progress into their post-secondary studies, they are expected to handle much more complex expressions than they used to encounter in their secondary school. Many students of colleges and universities cannot keep up with the amount and speed of what they are taught, simply because they cannot transform algebraic expressions. What makes matters worse is that post-secondary institutions completely ignore this problem: professors do not have time to review algebraic expressions and teach under the assumption that their students are experts in this regard. Reaching the level of mastery expected from students by colleges and universities, or dictated by the realities of modern quantitative occupations, requires special preparation - and this is precisely where this book can offer assistance.PrerequisitesThe only prerequisites for working through this guide are a strong grasp of arithmetic and an ample supply of pens and paper for completing exercises. No calculator is necessary for any exercise. Topics coveredEvaluation of expressions, expressions involving exponents and radicals, distributive rule, collecting like terms, FOIL and expansion equalities, expansion and factoring techniques, polynomials (including long division and composition), expressions involving factorial, sigma and product notations, arithmetic and geometric progressions, general binomial expansion and more. Every chapter has the following structure: Detailed explanation of topics.Examples of worked exercises.Abundant exercises of varying difficulty level.Solutions to all exercises are available in the second half of the book.
A Compendious Tract On The Theory And Solution Of Cubic And Biquadratic Equations, And Of Equations Of The Higher Orders
Enhance your understanding of algebra with this concise and accessible tract by Bewick Bridge. Covering a range of topics relevant to the study of equations of higher orders, this work offers a valuable supplement to Bridge's earlier treatise on the elements of algebra.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
A University Algebra
This book is a comprehensive guide to algebra, providing a thorough course in both elementary and advanced algebra. Written by Edward Olney, this work is intended to meet the needs of students and professionals in universities, colleges, and schools of science.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Key to Robinson’s New Elementary Algebra
This essential guide to algebra provides a complete and user-friendly solution to Robinson's famous textbook. Designed for teachers and private learners, it includes clear explanations, helpful examples, and numerous exercises with step-by-step solutions. Whether you are a beginner or a more advanced student of algebra, this book will help you master the subject and achieve your academic and personal goals.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Academic Algebra
This classic textbook offers a comprehensive introduction to algebra, covering everything from basic principles to advanced topics like abstract algebra and number theory. With clear explanations, helpful examples, and challenging exercises, Smith and Beman provide students with the tools they need to master this essential branch of mathematics.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Elementary Algebra
This textbook provides a comprehensive introduction to elementary algebra. It starts with the basics of arithmetic and then gradually introduces students to the concepts of variables, equations, and graphing. The author explains each step in a clear and concise way, making this book an excellent resource for students who are struggling with algebra.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Complete Algebra
This comprehensive guide to algebra covers topics such as quadratic equations, logarithms, and trigonometric functions. With numerous examples and exercises, this book offers a valuable resource for students and teachers alike.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
College Algebra
Written for college-level students, this book provides a comprehensive guide to algebra principles and techniques. Covering a wide range of topics, including linear equations, polynomials, and functions, this book offers a thorough grounding in the fundamentals of algebra, and is an essential resource for anyone taking a college-level algebra course. With its clear explanations and step-by-step examples, this book is sure to help students achieve success in their studies.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Introduction to Algebra
Introduction to Algebra is a classic mathematics textbook that has been used by generations of students. The book covers a wide range of algebraic topics, including equations, functions, and graphs. Edward Olney was a prominent mathematician and educator who taught at Columbia University and the City College of New York. His writing is clear and concise, making this book a valuable resource for anyone studying algebra.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Abstract Algebra
Abstract Algebra: Theory and Applications is an open-source textbook that is designed to teach the principles and theory of abstract algebra to college juniors and seniors in a rigorous manner. Its strengths include a wide range of exercises, both computational and theoretical, plus many non-trivial applications. The first half of the book presents group theory, through the Sylow theorems, with enough material for a semester-long course. The second half is suitable for a second semester and presents rings, integral domains, Boolean algebras, vector spaces, and fields, concluding with Galois Theory.
Abstract Algebra
Abstract Algebra: Theory and Applications is an open-source textbook that is designed to teach the principles and theory of abstract algebra to college juniors and seniors in a rigorous manner. Its strengths include a wide range of exercises, both computational and theoretical, plus many non-trivial applications. The first half of the book presents group theory, through the Sylow theorems, with enough material for a semester-long course. The second half is suitable for a second semester and presents rings, integral domains, Boolean algebras, vector spaces, and fields, concluding with Galois Theory.
Seven Lessons in Theory of Inversions of Order and Determinants
Benjamin Feland Groat's informative and accessible lessons on the theory of inversions of order and determinants are essential reading for anyone interested in mathematics.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Elements of Algebra
Uno dei testi pi羅 importanti sull'algebra scritti nel XVIII secolo. Lacroix presenta in modo semplice e chiaro i principi fondamentali dell'algebra e le sue applicazioni pratiche. Quest'opera 癡 una lettura imprescindibile per tutti gli studenti di matematica.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
An Introduction to the Modern Theory of Equations
This classic text provides a thorough introduction to modern theory of equations. The book covers basic algebraic operations, polynomial equations, and their solutions, as well as more complex topics such as elliptic functions and transcendental equations. This is an essential text for anyone seeking a comprehensive understanding of modern algebraic theory.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
De Arte Logistica Joannis Naperi Merchistonii Baronis Libri Qui Supersunt
This book is an edition of the mathematical works of John Napier, a Scottish mathematician who is best known for his development of logarithms. The edition was published by the Bannatyne Club, a Scottish literary society, in the mid-19th century, and includes Napier's treatise on logarithms, as well as other mathematical treatises and letters.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
The Analysis and Solution of Cubic and Biquadratic Equations
Originally published in 1852, The Analysis and Solution of Cubic and Biquadratic Equations is a pioneering work in the field of algebra. In this book, John Radford Young provides a clear and concise introduction to the theory and solution of equations of the higher orders, building on the principles established in his earlier work, The Elements of Algebra. Young's elegant and rigorous approach to algebra has influenced generations of mathematicians and continues to be an important reference for scholars today.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
