Key To Higher Algebra

Author : Lindsay Childs
Publisher : Springer Science & Business Media
Page : 348 pages
File Size : 50,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468400656

Get Book

A Concrete Introduction to Higher Algebra by Lindsay Childs Pdf

This book is written as an introduction to higher algebra for students with a background of a year of calculus. The book developed out of a set of notes for a sophomore-junior level course at the State University of New York at Albany entitled Classical Algebra. In the 1950s and before, it was customary for the first course in algebra to be a course in the theory of equations, consisting of a study of polynomials over the complex, real, and rational numbers, and, to a lesser extent, linear algebra from the point of view of systems of equations. Abstract algebra, that is, the study of groups, rings, and fields, usually followed such a course. In recent years the theory of equations course has disappeared. Without it, students entering abstract algebra courses tend to lack the experience in the algebraic theory of the basic classical examples of the integers and polynomials necessary for understanding, and more importantly, for ap preciating the formalism. To meet this problem, several texts have recently appeared introducing algebra through number theory.

Author : Henry Sinclair Hall,Samuel Ratcliffe Knight
Publisher : Unknown
Page : 606 pages
File Size : 53,7 Mb
Release : 1891
Category : Algebra
ISBN : STANFORD:36105031175586

Get Book

Higher Algebra by Henry Sinclair Hall,Samuel Ratcliffe Knight Pdf

Author : H. S. Hall , S. R. Knight, Neeru Singh,C. S. Kumar
Publisher : Ancient Science Publishers
Page : 360 pages
File Size : 47,7 Mb
Release : 2018-09-16
Category : Mathematics
ISBN : 8210379456XXX

Get Book

Solutions of the Examples in Higher Algebra by H. S. Hall , S. R. Knight, Neeru Singh,C. S. Kumar Pdf

This work forms a Key or Companion to the Higher Algebra, and contains full solutions of nearly all the Examples. In many cases more than one solution is given, while throughout the book frequent reference is made to the text and illustrative Examples in the Algebra. The work has been undertaken at the request of many teachers who have introduced the Algebra into their classes, and for such readers it is mainly intended; but it is hoped that, if judiciously used, the solutions may also be found serviceable by that large and increasing class of students who read Mathematics without the assistance of a teacher. In this edition, the entire manuscript was typeset in a bigger size font [10 pt : `DejaVu Serif'] (honoring readers' suggestions) using the LaTeX document processing system originally developed by Leslie Lamport, based on TeX typesetting system created by Donald Knuth. The typesetting software used the XeLaTeX distribution. We are grateful for this opportunity to put the materials into a consistent format, and to correct errors in the original publication that have come to our attention. Most of the hard work of preparing this edition was accomplished by Neeru Singh, who expertly keyboarded and edited the text of the original manuscript. She helped us put hundreds of pages of typographically difficult material into a consistent digital format. The process of compiling this book has given us an incentive to improve the layout, to doublecheck almost all of the mathematical rendering, to correct all known errors, to improve the original illustrations by redrawing them with Till Tantau's marvelous TikZ. Thus the book now appears in a form that we hope will remain useful for at least another generation. Table of Contents EXAMPLES I : Ratio EXAMPLES II : Proportion EXAMPLES III : Variation EXAMPLES IV : Arithmetical Progression EXAMPLES V : Geometrical Progression EXAMPLES VI : Harmonical Progression EXAMPLES VII : Scales of Notation EXAMPLES VIII : Surds and Imaginary Quantities EXAMPLES IX : The Theory of Quadratic EXAMPLES X : Miscellaneous Equations EXAMPLES XI : Permutations and Combinations EXAMPLES XIII : Binomial Theorem Positive Integral Index EXAMPLES XIV : Binomial Theorem. Any Index EXAMPLES XV : Multinomial Theorem EXAMPLES XVI : Logarithms EXAMPLES XVII : Exponential and Logarithmic Series EXAMPLES XVIII : Interest and Annuities EXAMPLES XIX : Inequalities EXAMPLES XX : Limiting Values and Vanishing Fractions EXAMPLES XXI : Convergency and Divergency of Series EXAMPLES XXII : Undetermined Coefficients EXAMPLES XXIII : Partial Fractions EXAMPLES XXIV : Recurring Series EXAMPLES XXV : Continued Fractions EXAMPLES XXVI : Indeterminate Equations of the First Degree EXAMPLES XXVII : Recurring Continued Fractions EXAMPLES XXVIII : Indeterminate Equations of the Second Degree EXAMPLES XXIX : Summation of Series EXAMPLES XXX : Theory of Numbers EXAMPLES XXXI : The General Theory of Continued Fractions EXAMPLES XXXII : Probability EXAMPLES XXXIII : Determinants EXAMPLES XXXIV : Miscellaneous Theorems and Examples EXAMPLES XXXV : Theory of Equations MISCELLANEOUS EXAMPLES

Author : Benjamin Greenleaf
Publisher : Unknown
Page : 306 pages
File Size : 55,8 Mb
Release : 1865
Category : Algebra
ISBN : HARVARD:32044097010060

Get Book

A Key to the New Higher Algebra by Benjamin Greenleaf Pdf

Author : H. S. Hall,S. R. Knight
Publisher : Createspace Independent Publishing Platform
Page : 378 pages
File Size : 46,8 Mb
Release : 2014-01-08
Category : Mathematics
ISBN : 1494955091

Get Book

Solutions of the Examples in Higher Algebra by H. S. Hall,S. R. Knight Pdf

If you own the book "Higher Algebra" by Hall & Knight, you may be interested in the note below, taken from Preface of the book that is presented here: This work forms a Key or Companion to the Higher Algebra, and contains full solutions of nearly all the Examples. In many cases more than one solution is given, while through-out the book frequent reference is made to the text and illustrative Examples in the Algebra. The work has been undertaken at the request of many teachers who have introduced the Algebra into their classes, and for such readers it is mainly intended; but it is hoped that, if judiciously used, the solutions may also be found serviceable by that large and increasing class of students who read Mathematics without the assistance of a teacher. H. S. HALL, S. R. KNIGHT.

Author : Benjamin Greenleaf
Publisher : BoD – Books on Demand
Page : 278 pages
File Size : 50,9 Mb
Release : 2022-02-23
Category : Fiction
ISBN : 9783752571196

Get Book

A Key to the New Higher Algebra by Benjamin Greenleaf Pdf

Reprint of the original, first published in 1867.

Author : H.S. Hall & S. R. Knight
Publisher : Unknown
Page : 128 pages
File Size : 47,8 Mb
Release : 1897
Category : Electronic
ISBN : OCLC:614130974

Get Book

Higher Algebra by H.S. Hall & S. R. Knight Pdf

Author : Anthony W. Knapp
Publisher : Springer Science & Business Media
Page : 730 pages
File Size : 50,7 Mb
Release : 2007-10-11
Category : Mathematics
ISBN : 9780817646134

Get Book

Advanced Algebra by Anthony W. Knapp Pdf

Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Advanced Algebra includes chapters on modern algebra which treat various topics in commutative and noncommutative algebra and provide introductions to the theory of associative algebras, homological algebras, algebraic number theory, and algebraic geometry. Many examples and hundreds of problems are included, along with hints or complete solutions for most of the problems. Together the two books give the reader a global view of algebra and its role in mathematics as a whole.

Author : H. S. Hall,A. R. Knight
Publisher : Unknown
Page : 380 pages
File Size : 55,8 Mb
Release : 2013-08
Category : Electronic
ISBN : 1628451041

Get Book

Solutions of the Examples in Higher Algebra by H. S. Hall,A. R. Knight Pdf

SOLUTIONS OF THE EXAMPLES IN HIGHER ALGEBRA By H. S. Hall and S. R. Knight Preface This work forms a Key or Companion to the "Higher Algebra," and contains full solutions of nearly all the Examples. In many cases more than one solution is given, while throughout the book frequent reference is made to the text and illustrative Examples in the Algebra. The work has been undertaken at the request of many teachers who have introduced the Algebra into their classes, and for such readers it is mainly intended; but it is hoped that, if judiciously used, the solutions may also be found serviceable by that large and increasing class of students who read Mathematics without the assistance of a teacher. H. S. HALL, S. R. KNIGHT. June, 1889. ------------------------------------------------------------------------------------------------------------------------------------------ Windham Press is committed to bringing the lost cultural heritage of ages past into the 21st century through high-quality reproductions of original, classic printed works at affordable prices. This book has been carefully crafted to utilize the original images of antique books rather than error-prone OCR text. This also preserves the work of the original typesetters of these classics, unknown craftsmen who laid out the text, often by hand, of each and every page you will read. Their subtle art involving judgment and interaction with the text is in many ways superior and more human than the mechanical methods utilized today, and gave each book a unique, hand-crafted feel in its text that connected the reader organically to the art of bindery and book-making. We think these benefits are worth the occasional imperfection resulting from the age of these books at the time of scanning, and their vintage feel provides a connection to the past that goes beyond the mere words of the text.

Author : Benjamin Greenleaf
Publisher : Forgotten Books
Page : 292 pages
File Size : 43,9 Mb
Release : 2018-02-12
Category : Mathematics
ISBN : 048483231X

Get Book

A Key to the New Higher Algebra (Classic Reprint) by Benjamin Greenleaf Pdf

Excerpt from A Key to the New Higher Algebra Entered, eeeording toactof Gongreu, intheyeer1865, by robert 8. Davis, In the Clerk's omce of the District Court of the District of Massachusetts. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Author : Lindsay N. Childs
Publisher : Springer Science & Business Media
Page : 540 pages
File Size : 54,9 Mb
Release : 2012-12-04
Category : Mathematics
ISBN : 9781441987020

Get Book

A Concrete Introduction to Higher Algebra by Lindsay N. Childs Pdf

An informal and readable introduction to higher algebra at the post-calculus level. The concepts of ring and field are introduced through study of the familiar examples of the integers and polynomials, with much emphasis placed on congruence classes leading the way to finite groups and finite fields. New examples and theory are integrated in a well-motivated fashion and made relevant by many applications -- to cryptography, coding, integration, history of mathematics, and especially to elementary and computational number theory. The later chapters include expositions of Rabiin's probabilistic primality test, quadratic reciprocity, and the classification of finite fields. Over 900 exercises, ranging from routine examples to extensions of theory, are scattered throughout the book, with hints and answers for many of them included in an appendix.

Author : A. Mostowski,M. Stark
Publisher : Elsevier
Page : 475 pages
File Size : 42,6 Mb
Release : 2014-07-18
Category : Mathematics
ISBN : 9781483280356

Get Book

Introduction to Higher Algebra by A. Mostowski,M. Stark Pdf

Introduction to Higher Algebra is an 11-chapter text that covers some mathematical investigations concerning higher algebra. After an introduction to sets of functions, mathematical induction, and arbitrary numbers, this book goes on considering some combinatorial problems, complex numbers, determinants, vector spaces, and linear equations. These topics are followed by discussions of the determination of polynomials in ne variable, rings of real and complex polynomials, and algebraic and transcendental numbers. The final chapters deal with the polynomials in several variables, symmetric functions, the theory of elimination, and the quadratic and Hermitian forms. This book will be of value to mathematicians and students.

Author : S. Knight,Neeru Singh,C. S. Kumar
Publisher : Createspace Independent Publishing Platform
Page : 298 pages
File Size : 45,8 Mb
Release : 2017-10-05
Category : Electronic
ISBN : 1977861784

Get Book

Solutions of the Examples in Higher Algebra (LaTeX Enlarged Edition) by S. Knight,Neeru Singh,C. S. Kumar Pdf

This work forms a Key or Companion to the Higher Algebra, and contains full solutions of nearly all the Examples. In many cases more than one solution is given, while throughout the book frequent reference is made to the text and illustrative Examples in the Algebra. The work has been undertaken at the request of many teachers who have introduced the Algebra into their classes, and for such readers it is mainly intended; but it is hoped that, if judiciously used, the solutions may also be found serviceable by that large and increasing class of students who read Mathematics without the assistance of a teacher. In this edition, the entire manuscript was typeset in a bigger size font [10 pt : `DejaVu Serif'] (honoring readers' suggestions) using the LaTeX document processing system originally developed by Leslie Lamport, based on TeX typesetting system created by Donald Knuth. The typesetting software used the XeLaTeX distribution. We are grateful for this opportunity to put the materials into a consistent format, and to correct errors in the original publication that have come to our attention. Most of the hard work of preparing this edition was accomplished by Neeru Singh, who expertly keyboarded and edited the text of the original manuscript. She helped us put hundreds of pages of typographically difficult material into a consistent digital format. The process of compiling this book has given us an incentive to improve the layout, to doublecheck almost all of the mathematical rendering, to correct all known errors, to improve the original illustrations by redrawing them with Till Tantau's marvelous TikZ. Thus the book now appears in a form that we hope will remain useful for at least another generation. Table of Contents EXAMPLES I : Ratio EXAMPLES II : Proportion EXAMPLES III : Variation EXAMPLES IV : Arithmetical Progression EXAMPLES V : Geometrical Progression EXAMPLES VI : Harmonical Progression EXAMPLES VII : Scales of Notation EXAMPLES VIII : Surds and Imaginary Quantities EXAMPLES IX : The Theory of Quadratic EXAMPLES X : Miscellaneous Equations EXAMPLES XI : Permutations and Combinations EXAMPLES XIII : Binomial Theorem Positive Integral Index EXAMPLES XIV : Binomial Theorem. Any Index EXAMPLES XV : Multinomial Theorem EXAMPLES XVI : Logarithms EXAMPLES XVII : Exponential and Logarithmic Series EXAMPLES XVIII : Interest and Annuities EXAMPLES XIX : Inequalities EXAMPLES XX : Limiting Values and Vanishing Fractions EXAMPLES XXI : Convergency and Divergency of Series EXAMPLES XXII : Undetermined Coefficients EXAMPLES XXIII : Partial Fractions EXAMPLES XXIV : Recurring Series EXAMPLES XXV : Continued Fractions EXAMPLES XXVI : Indeterminate Equations of the First Degree EXAMPLES XXVII : Recurring Continued Fractions EXAMPLES XXVIII : Indeterminate Equations of the Second Degree EXAMPLES XXIX : Summation of Series EXAMPLES XXX : Theory of Numbers EXAMPLES XXXI : The General Theory of Continued Fractions EXAMPLES XXXII : Probability EXAMPLES XXXIII : Determinants EXAMPLES XXXIV : Miscellaneous Theorems and Examples EXAMPLES XXXV : Theory of Equations MISCELLANEOUS EXAMPLES

Author : Webster Wells
Publisher : Unknown
Page : 444 pages
File Size : 47,5 Mb
Release : 1889
Category : Algebra
ISBN : UCAL:$B531862

Get Book

A Short Course in Higher Algebra by Webster Wells Pdf

Author : The Princeton Review
Publisher : Princeton Review
Page : 400 pages
File Size : 40,7 Mb
Release : 2016-08-09
Category : Mathematics
ISBN : 9781101882207

Get Book

High School Algebra I Unlocked by The Princeton Review Pdf

This eBook edition has been specially formatted for on-screen viewing with cross-linked questions, answers, and explanations. UNLOCK THE SECRETS OF ALGEBRA I with THE PRINCETON REVIEW. Algebra can be a daunting subject. That’s why our new High School Unlocked series focuses on giving you a wide range of key techniques to help you tackle subjects like Algebra I. If one method doesn't "click" for you, you can use an alternative approach to understand the concept or problem, instead of painfully trying the same thing over and over without success. Trust us—unlocking the secrets of Algebra doesn't have to hurt! With this book, you’ll discover the link between abstract concepts and their real-world applications and build confidence as your skills improve. Along the way, you’ll get plenty of practice, from fully guided examples to independent end-of-chapter drills and test-like samples. Everything You Need to Know About Algebra I. • Complex concepts explained in clear, straightforward ways • Walk-throughs of sample problems for all topics • Clear goals and self-assessments to help you pinpoint areas for further review • Step-by-step examples of different ways to approach problems Practice Your Way to Excellence. • Drills and practice questions in every chapter • Complete answer explanations to boost understanding • ACT- and SAT-like questions for hands-on experience with how Algebra I may appear on major exams High School Algebra I Unlocked covers: • exponents and sequences • polynomial expressions • quadratic equations and inequalities • systems of equations • functions • units, conversions, and displaying data ... and more!