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Author: H. S. Hall Publisher: Ancient Science Publishers ISBN: Category : Mathematics Languages : en Pages : 360
Book Description
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: H. S. Hall Publisher: Ancient Science Publishers ISBN: Category : Mathematics Languages : en Pages : 360
Book Description
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: Lindsay Childs Publisher: Springer Science & Business Media ISBN: 1468400657 Category : Mathematics Languages : en Pages : 348
Book Description
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: Lindsay N. Childs Publisher: Springer Science & Business Media ISBN: 1441987029 Category : Mathematics Languages : en Pages : 540
Book Description
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: H S 1848-1934 Hall Publisher: Scholar's Choice ISBN: 9781296002107 Category : Languages : en Pages : 388
Book Description
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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. 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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. 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.
Author: John Edward Maxfield Publisher: Courier Corporation ISBN: 0486477231 Category : Mathematics Languages : en Pages : 228
Book Description
The American Mathematical Monthly recommended this advanced undergraduate-level text for teacher education. It starts with groups, rings, fields, and polynomials and advances to Galois theory, radicals and roots of unity, and solution by radicals. Numerous examples, illustrations, commentaries, and exercises enhance the text, along with 13 appendices. 1971 edition.
Author: H. S. Hall 
Author: H. S. Hall 
Author: Henry Sinclair Hall
Author: Lindsay Childs
Author: Henry Sinclair Hall
Author: Lindsay N. Childs
Author: H S 1848-1934 Hall
Author: Sadhan Kumar Mapa
Author: John Edward Maxfield
Author: W. Michael Kelley
Author: Henry Sinclair Hall