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Counterexamples in Topology by Lynn Arthur Steen,J. Arthur Seebach Pdf
Over 140 examples, preceded by a succinct exposition of general topology and basic terminology. Each example treated as a whole. Numerous problems and exercises correlated with examples. 1978 edition. Bibliography.
The Second Edition of this classic text maintains the clear exposition, logical organization, and accessible breadth of coverage that have been its hallmarks. It plunges directly into algebraic structures and incorporates an unusually large number of examples to clarify abstract concepts as they arise. Proofs of theorems do more than just prove the stated results; Saracino examines them so readers gain a better impression of where the proofs come from and why they proceed as they do. Most of the exercises range from easy to moderately difficult and ask for understanding of ideas rather than flashes of insight. The new edition introduces five new sections on field extensions and Galois theory, increasing its versatility by making it appropriate for a two-semester as well as a one-semester course.
Teaching Early Algebra Through Example-Based Problem Solving by Meixia Ding Pdf
Drawing on rich classroom observations of educators teaching in China and the U.S., this book details an innovative and effective approach to teaching algebra at the elementary level, namely, "teaching through example-based problem solving" (TEPS). Recognizing young children's particular cognitive and developmental capabilities, this book powerfully argues for the importance of infusing algebraic thinking into early grade mathematics teaching and illustrates how this has been achieved by teachers in U.S. and Chinese contexts. Documenting best practice and students' responses to example-based instruction, the text demonstrates that this TEPS approach - which involves the use of worked examples, representations, and deep questions - helps students learn and master fundamental mathematical ideas, making it highly effective in developing algebraic readiness and mathematical understanding. This text will benefit post-graduate students, researchers, and academics in the fields of mathematics, STEM, and elementary education, as well as algebra research more broadly. Those interested in teacher education, classroom practice, and developmental and cognitive psychology will also find this volume of interest.
Elementary Abstract Algebra, Examples and Applications Volume 1: Foundations by Justin Hill,Christopher Thron Pdf
This textbook introduces the basic notions of group theory by a thorough treatment of important examples, including complex numbers, modular arithmetic, symmetries, and permutations. Practical examples to cryptography and coding theory are also included.
Algebra Examples Basic Functions by Seong R. Kim Pdf
Students need the best teacher, so you need examples, because examples are the best teacher. All the examples in this book are fully worked, and help you do math better. And this book is for your skill of algebra, and you will grow the skill through examples. Some examples may look too easy or too hard. It all depends on your skill of algebra. Whatever your skill may be though, you can grow yours if you follow the steps in each example. Each is detailed so that you can learn those tools fast, and increase your caliber quickly as well as properly. And this book covers functions, and explains what a function is about, how it gets made, what it does or how it behaves, and what we can do with it or how to use it. What then, is it for? A function is an idea in math, so it's a math idea, and is a tool in math. So it's a math tool. And we use it, solving problems, of course. So students need to get the idea. And thus, this book helps you get the idea of a function, that is, the concept of a math object called a function, and you will get to see how to work with it properly, because the book explains many basic functions, how they get made, and how they work, along with their nature so that you can develop your own idea, to solve problems, of course. And this book is particularly for those students who want to study calculus later or now in university level, and want to be science or engineering majors. And you can look at some preview, which is at http://www.lulu.com/spotlight/runmath All the books shown there are in electronic version in PDF for Adobe Digital Editions. You can see though, the preview with no download, and see it in you web browser. There are two options. One is Algebra Examples Basic Functions 1, which is the first half the whole book, which is this book. And the other is Algebra Examples Basic Functions 2, which is the last half. If either is found, click 'More Detail' underneath the cover image, and then, click 'Preview' below the cover image. Then, the preview will show up.
A First Course in Linear Algebra by A. G. Hamilton Pdf
This is a short, readable introduction to basic linear algebra, as usually encountered in a first course. The development of the subject is integrated with a large number of worked examples that illustrate the ideas and methods. The format of the book, with text and relevant examples on facing pages means that the reader can follow the text uninterrupted. The student should be able to work through the book and learn from it sequentially. Stress is placed on applications of the methods rather than on developing a logical system of theorems. Numerous exercises are provided.
H. S. Hall , S. R. Knight, Neeru Singh,C. S. Kumar
Author : H. S. Hall , S. R. Knight, Neeru Singh,C. S. Kumar Publisher : Ancient Science Publishers Page : 360 pages File Size : 48,5 Mb Release : 2018-09-16 Category : Mathematics ISBN : 8210379456XXX
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
Excerpt from Examples in Algebra: A Collection of Exercises to Accompany Any Textbook The best types Of examples and applied problems to be found in American or Foreign Textbooks or collections of examples are included in this book. All examples have been constructed by the author, and the subject matter covers standard courses Of study and meets col lege-entrance requirements. 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.