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.
Optimal Mass Transport on Euclidean Spaces
Optimal mass transport has emerged in the past three decades as an active field with wide-ranging connections to the calculus of variations, PDEs, and geometric analysis. This graduate-level introduction covers the field's theoretical foundation and key ideas in applications. By focusing on optimal mass transport problems in a Euclidean setting, the book is able to introduce concepts in a gradual, accessible way with minimal prerequisites, while remaining technically and conceptually complete. Working in a familiar context will help readers build geometric intuition quickly and give them a strong foundation in the subject. This book explores the relation between the Monge and Kantorovich transport problems, solving the former for both the linear transport cost (which is important in geometric applications) and for the quadratic transport cost (which is central in PDE applications), starting from the solution of the latter for arbitrary transport costs.
Manual of Algebra
Manual of Algebra is a comprehensive guide to Algebra, written by William Guy Peck. It covers all aspects of Algebra, including the fundamental principles, equations, polynomials, quadratic equations, the binomial theorem, progression, and logarithms. This book is recommended for students and teachers of Mathematics, as well as those who want to improve their Algebra knowledge.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.
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.
Elementary Algebra
A thorough and accessible introduction to algebra, intended for high school and college students. The book includes clear explanations, ample exercises, and real-world applications, making it an ideal resource for self-study.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.
Key to Robinson's New University Algebra
An essential guide for anyone studying algebra, this book offers a clear and concise explanation of Robinson's new method. With step-by-step instructions, helpful examples, and practice problems, this book is perfect for students and educators 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.
An Elementary Treatise On Algebra
A textbook on algebra, covering topics such as polynomial equations, logarithms, and inequalities.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 Algebra
This book provides a comprehensive introduction to algebra designed for common school students. With clear instruction and plenty of examples, students will gain a strong understanding of the fundamental principles of algebra. Written by George Roberts Perkins, this book also serves as a great introduction for more advanced 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.
The Elements of Analytical Geometry; Comprehending the Doctorine of the Conic Sections and the General Theory of Curves and Surfces of the Second Order
The Elements of Analytical Geometry is a comprehensive guide to the doctrine of the conic sections and the general theory of curves and surfaces of the second order. Written by Jr Young, this book is essential reading for students and enthusiasts 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.
Notes On the Elements of Algebra and Trigonometry With Solutions of the More Difficult Questions
This comprehensive guide to algebra and trigonometry offers readers tips and tricks to tackle even the most challenging of problems. With detailed solutions to the most difficult questions, this book is perfect for students and professionals 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.
Elementary Algebra
This comprehensive guide to elementary algebra covers all the principles and fundamentals of the subject. Suitable for students and teachers alike, this book is an essential resource for anyone looking to improve their knowledge 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.
Leonard Eugene Dickson
This classic text covers the theory of equations, including polynomials and their roots, algebraic equations, and more. Perfect for students of algebra and anyone interested in the foundations 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.
Examples in Algebra
Whether you're a student or teacher of algebra, this comprehensive textbook has everything you need to excel in the subject. With over eight thousand exercises and problems, the book is carefully graded to provide a challenging but rewarding learning experience.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
First published in the mid-19th century, Elementary Algebra by Charles Davies is a classic textbook on algebraic principles and techniques. Suitable for students at an introductory level, this book covers the basics of algebra, including equations, expressions, and functions. It also includes numerous examples and exercises to help students gain mastery over these concepts. Whether you are a student or an educator, Davies' Elementary Algebra remains an invaluable resource for mastering the fundamentals 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.
The Normal Elementary Algebra, Part 1
The Normal Elementary Algebra, Part 1 is an essential textbook for anyone studying algebra. Edward Brooks provides a clear and concise introduction to the subject, covering the fundamental concepts and techniques of algebra in a way that is accessible and easy to understand. This book is a must-read for anyone looking to gain a solid foundation in 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, for the Use of Academies, Colleges, and Scientific Schools ..
This book is a comprehensive guide to college-level algebra. It covers all of the standard topics, including polynomials, equations, and functions, as well as more advanced topics such as matrices and determinants. Bowser's clear and concise explanations, along with numerous examples and exercises, make this book an invaluable resource for students in academies, colleges, and scientific schools.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.
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.
An Easy Algebra for Beginners
Venable provides readers with a clear and concise introduction to the basics of algebra. He introduces readers to key concepts such as equations, variables, and polynomials, and provides a variety of exercises to help students practice their skills. This book is an essential resource for anyone seeking to improve their understanding 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 Memoir of the Theory of Mathematical Form
In this groundbreaking work, mathematician Alfred Bray Kempe explores the geometric principles underlying the theory of form. Drawing on his own research and a deep understanding of the history of mathematics, Kempe presents a compelling case for the importance of form in our understanding of the natural world.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.
Algebraic Difficulties Simplified
This accessible guide offers a clear and concise approach to solving common algebraic problems. With examples and explanations that are easy to understand, Arthur Lee Sparkes makes learning algebra a breeze for students and professionals 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.
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.
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.
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.
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.
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 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.
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.
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.
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.
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.
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.
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.
Elementary Algebra
A comprehensive guide to the fundamentals of algebra, covering the essential principles and techniques of the subject. Written by acclaimed mathematician Charles Davies, this book is suitable for beginners and advanced students 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
Algebraic Theory of Generalized Inverses
Most of the existing monographs on generalized inverses are based on linear algebra tools and geometric methods of Banach (Hilbert) spaces to introduce generalized inverses of complex matrices and operators and their related applications, or focus on generalized inverses of matrices over special rings like division rings and integral domains, and does not include the results in general algebraic structures such as arbitrary rings, semigroups and categories, which are precisely the most general cases.In this book, five important generalized inverses are introduced in these algebraic structures. Moreover, noting that the (pseudo) core inverse was introduced in the last decade and has attracted much attention, this book also covers the very rich research results on it, so as to be a necessary supplement to the existing monographs. This book starts with decompositions of matrices, introduces the basic properties of generalized inverses of matrices, and then discusses generalizedinverses of elements in rings and semigroups, as well as morphisms in categories. The algebraic nature of generalized inverses is presented, and the behavior of generalized inverses are related to the properties of the algebraic system.Scholars and graduate students working on the theory of rings, semigroups and generalized inverses of matrices and operators will find this book helpful.
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.
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.
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.
