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Author : Joseph Victor Collins
Publisher : Unknown
Page : 338 pages
File Size : 44,8 Mb
Release : 1911
Category : Algebra
ISBN : UCAL:$B278312
Author : Jos; V. Collins
Publisher : Forgotten Books
Page : 324 pages
File Size : 44,7 Mb
Release : 2015-06-24
Category : Mathematics
ISBN : 1330075641
Excerpt from Practical Algebra Second Course The adoption of the plan of giving two courses in algebra, one early and for all students, and the other after one or two intervening years for those who specialize in science, is spreading. For the purposes of the latter a review is practically essential. This book consists of two parts, a review of the First Year Course, followed by additional chapters on more advanced topics, the whole providing the preparation for entrance to colleges of liberal arts. For a course covering the ground of both the First and Second Courses, the authors "Practical Elementary Algebra" is well adapted, though much that is in this Second Course is not in it. Not a little has been written in this country within the past few years concerning the desirability of unifying the course in mathematics. A textbook for general use which aims to accomplish such an end must adapt itself to present-day conditions. Of the different branches of mathematics, the algebra easily provides the best means available of bringing together algebra, arithmetic, geometry, and applied mathematics, and this unification the present text undertakes to accomplish. In its preparation it was assumed that the pupil had taken the course usually offered in plane geometry. To be sure, the book can be used by those who have not taken geometry by simply omitting geometrical matter, whether text or exercises. In the same way, if so desired, the more purely arithmetical matter may be cut out, in part or in whole, since neither the arithmetical nor geometrical material conditions the subsequent algebraic matter. Aside from preparation for the study of more advanced mathematics, probably the most directly practical thing learned from the study of algebra is the interpretation and use of formulas. 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 : Joseph V. Collins
Publisher : Forgotten Books
Page : 186 pages
File Size : 51,6 Mb
Release : 2016-11-08
Category : Mathematics
ISBN : 1334214050
Excerpt from Practical Algebra: Second Course The conception of functionality is developed as carefully and fully as it can be for pupils of the maturity of those who study algebra. The claims of this topic are now being strongly urged by the highest authorities. Many of the features of the author's First Year Course, such as simplicity of presentation, minimum number of cases in topics, treatment of factoring and of graphs, constant reference to the axioms in the solution of equations, systematic testing for accuracy, translating to and 'from algebraic language, conservatism in the order of topics, etc., will be found likewise in this book. The inductive treatment, so prominent a feature of the First Course, is partly replaced in this by the deductive, because pupils are now far better prepared to understand its meaning. The author is indebted to Professor E. S. Loomis of the West Side High School, Cleveland, Ohio, to Lewis Omer of the Academy at Evanston, Ill. To Miss Marie Ongle of the Central High School, Toledo, Ohio, and to Miss Theresa Moran of the High School, Stevens Point, Wis., for reading both the manuscript and the proofs and giving valuable advice. Professor H. L. Terry, State High School Inspector, Madison, Wis., read portions of the manu script and offered helpful suggestions, as also did Professor A. L. Rhoton of Georgetown College, Ky. The following have read the proofs and given aid in other ways: President G. W. Brock, Alabama Normal College, Livingston, Ala.; Professor H. E. Cobb, Lewis Institute, Chicago; Professor Ira Condit, State Teachers' College, Cedar Falls, Iowa; Professor H. S. Hippensteel, State Normal School, Stevens Point, Wis.; and Professor T. M. Smith, Lash High School, Zanesville, Ohio. 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 : Jos. V. Collins
Publisher : Unknown
Page : 316 pages
File Size : 55,5 Mb
Release : 2015-02-18
Category : Electronic
ISBN : 1297154649
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 : Peter H. Selby,Steve Slavin
Publisher : John Wiley & Sons
Page : 336 pages
File Size : 41,7 Mb
Release : 1991-09-03
Category : Mathematics
ISBN : 9780471530121
Practical Algebra If you studied algebra years ago and now need arefresher course in order to use algebraic principles on the job,or if you're a student who needs an introduction to the subject,here's the perfect book for you. Practical Algebra is an easy andfun-to-use workout program that quickly puts you in command of allthe basic concepts and tools of algebra. With the aid of practical,real-life examples and applications, you'll learn: * The basic approach and application of algebra to problemsolving * The number system (in a much broader way than you have known itfrom arithmetic) * Monomials and polynomials; factoring algebraic expressions; howto handle algebraic fractions; exponents, roots, and radicals;linear and fractional equations * Functions and graphs; quadratic equations; inequalities; ratio,proportion, and variation; how to solve word problems, andmore Authors Peter Selby and Steve Slavin emphasize practical algebrathroughout by providing you with techniques for solving problems ina wide range of disciplines--from engineering, biology, chemistry,and the physical sciences, to psychology and even sociology andbusiness administration. Step by step, Practical Algebra shows youhow to solve algebraic problems in each of these areas, then allowsyou to tackle similar problems on your own, at your own pace.Self-tests are provided at the end of each chapter so you canmeasure your mastery.
Author : Bobson Wong,Larisa Bukalov,Steve Slavin
Publisher : John Wiley & Sons
Page : 516 pages
File Size : 51,9 Mb
Release : 2022-04-26
Category : Mathematics
ISBN : 9781119715405
The most practical, complete, and accessible guide for understanding algebra If you want to make sense of algebra, check out Practical Algebra: A Self-Teaching Guide. Written by two experienced classroom teachers, this Third Edition is completely revised to align with the Common Core Algebra I math standards used in many states. You’ll get an overview of solving linear and quadratic equations, using ratios and proportions, decoding word problems, graphing and interpreting functions, modeling the real world with statistics, and other concepts found in today’s algebra courses. This book also contains a brief review of pre-algebra topics, including arithmetic and fractions. It has concrete strategies that help diverse students to succeed, such as: over 500 images and tables that illustrate important concepts over 200 model examples with complete solutions almost 1,500 exercises with answers so you can monitor your progress Practical Algebra emphasizes making connections to what you already know and what you’ll learn in the future. You’ll learn to see algebra as a logical and consistent system of ideas and see how it connects to other mathematical topics. This book makes math more accessible by treating it as a language. It has tips for pronouncing and using mathematical notation, a glossary of commonly used terms in algebra, and a glossary of symbols. Along the way, you’ll discover how different cultures around the world over thousands of years developed many of the mathematical ideas we use today. Since students nowadays can use a variety of tools to handle complex modeling tasks, this book contains technology tips that apply no matter what device you’re using. It also describes strategies for avoiding common mistakes that students make. By working through Practical Algebra, you’ll learn straightforward techniques for solving problems, and understand why these techniques work so you’ll retain what you’ve learned. You (or your students) will come away with better scores on algebra tests and a greater confidence in your ability to do math.
Author : Joseph Victor Collins
Publisher : Unknown
Page : 303 pages
File Size : 52,8 Mb
Release : 1911
Category : Electronic
ISBN : OCLC:13463503
Author : Jose V.. Collins
Publisher : Unknown
Page : 128 pages
File Size : 41,9 Mb
Release : 1910
Category : Electronic
ISBN : OCLC:1322590700
Author : Virgil Sampson Mallory,Bruce Elwyn Meserve
Publisher : Unknown
Page : 600 pages
File Size : 43,9 Mb
Release : 1961
Category : Algebra
ISBN : UIUC:30112097473117
Author : Richard E. Johnson
Publisher : Unknown
Page : 616 pages
File Size : 55,7 Mb
Release : 1962
Category : Algebra
ISBN : STANFORD:36105049322584
Author : Harley Flanders,Robert R. Korfhage,Justin J. Price
Publisher : Academic Press
Page : 700 pages
File Size : 50,7 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483263823
This text, designed for a second year calculus course, can follow any standard first year course in one-variable calculus. Its purpose is to cover the material most useful at this level, to maintain a balance between theory and practice, and to develop techniques and problem solving skills. The topics fall into several categories: Infinite series and integrals Chapter 1 covers convergence and divergence of series and integrals. It ?ontains proofs of basic convergence tests, relations between series and Integrals, and manipulation with geometric, exponential, and related series. Chapter 2 covers approximation of functions by Taylor polynomials, with emphasis on numerical approximations and estimates of remainders. Chapt~r 3 deals with power series, including intervals of convergence, expanSIOns of functions, and uniform convergence. It features calculations with s~ries by algebraic operations, substitution, and term-by-term differentiation and integration. Vector methods Vector algebra is introduced in Chapter 4 and applied to solid analytic geometry. The calculus of one-variable vector functions and its applications to space curves and particle mechanics comprise Chapter 5. Linear algebra Chapter 7 contains a practical introduction to linear algebra in two and three dimensions. We do not attempt a complete treatment of foundations, but rather limit ourselves to thoRe topics that have immediate application to calculus. The main topics are linear transformations in R2 and R3, their matrix representations, manipulation with matrices, linear systems, quadratic forms, and quadric surfaces. Differential calculus of several variables Chapter 6 contains preliminary material on sets in the plane and space, and the definition and basic properties of continuous functions. This is followed by partial derivatives with applications to maxima and minima. Chapter 8 continues with a careful treatment of differentiability and applications to tangent planes, gradients, directional derivatives, and differentials. Here ideas from linear algebra are used judiciously. Chapter 9 covers higher xii Preface order partial derivatives, Taylor polynomials, and second derivative tests for extrema. Multiple integrals In Chapters 10 and 11 we treat double and triple integrals intuitively, with emphasis on iteration, geometric and physical applications, and coordinate changes. In Chapter 12 we develop the theory of the Riemann integral starting with step functions. We continue with Jacobians and the change of variable formula, surface area, and Green's Theorem. Differential equations Chapter 13 contains an elementary treatment of first order equations, with emphasis on linear equations, approximate solutions, and applications. Chapter 14 covers second order linear equations and first order linear systems, including matrix series solutions. These chapters can be taken up any time after Chapter 7. Complex analysis The final chapter moves quickly through basic complex algebra to complex power series, shortcuts using' the complex exponential function, and applications to integration and differential equations. Features The key points of one-variable calculus are reviewed briefly as needed. Optional topics are scattered throughout, for example Stirling's Formula, characteristic roots and vectors, Lagrange multipliers, and Simpson's Rule for double integrals. Numerous worked examples teach practical skills and demonstrate the utility of the theory. We emphaRize Rimple line drawingR that a student can learn to do himself.
Author : Anonim
Publisher : Unknown
Page : 2240 pages
File Size : 54,6 Mb
Release : 1916
Category : American literature
ISBN : STANFORD:36105015558286
Author : Anonim
Publisher : Unknown
Page : 1014 pages
File Size : 41,9 Mb
Release : 1947
Category : Education
ISBN : UCAL:B3971910
Author : Anonim
Publisher : Unknown
Page : 1006 pages
File Size : 52,5 Mb
Release : 1954
Category : Electronic
ISBN : UIUC:30112117977980
Author : Bobson Wong,Larisa Bukalov,Steve Slavin
Publisher : John Wiley & Sons
Page : 516 pages
File Size : 49,5 Mb
Release : 2022-04-14
Category : Mathematics
ISBN : 9781119715436
The most practical, complete, and accessible guide for understanding algebra If you want to make sense of algebra, check out Practical Algebra: A Self-Teaching Guide. Written by two experienced classroom teachers, this Third Edition is completely revised to align with the Common Core Algebra I math standards used in many states. You’ll get an overview of solving linear and quadratic equations, using ratios and proportions, decoding word problems, graphing and interpreting functions, modeling the real world with statistics, and other concepts found in today’s algebra courses. This book also contains a brief review of pre-algebra topics, including arithmetic and fractions. It has concrete strategies that help diverse students to succeed, such as: over 500 images and tables that illustrate important concepts over 200 model examples with complete solutions almost 1,500 exercises with answers so you can monitor your progress Practical Algebra emphasizes making connections to what you already know and what you’ll learn in the future. You’ll learn to see algebra as a logical and consistent system of ideas and see how it connects to other mathematical topics. This book makes math more accessible by treating it as a language. It has tips for pronouncing and using mathematical notation, a glossary of commonly used terms in algebra, and a glossary of symbols. Along the way, you’ll discover how different cultures around the world over thousands of years developed many of the mathematical ideas we use today. Since students nowadays can use a variety of tools to handle complex modeling tasks, this book contains technology tips that apply no matter what device you’re using. It also describes strategies for avoiding common mistakes that students make. By working through Practical Algebra, you’ll learn straightforward techniques for solving problems, and understand why these techniques work so you’ll retain what you’ve learned. You (or your students) will come away with better scores on algebra tests and a greater confidence in your ability to do math.