Challenging Problems in Algebra

Challenging Problems in Algebra
Author: Alfred S. Posamentier,Charles T. Salkind
Publsiher: Courier Corporation
Total Pages: 288
Release: 2012-05-04
Genre: Mathematics
ISBN: 9780486131542

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Over 300 unusual problems, ranging from easy to difficult, involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms, more. Detailed solutions, as well as brief answers, for all problems are provided.

Challenging Problems in Algebra

Challenging Problems in Algebra
Author: Alfred S. Posamentier,Charles T. Salkind
Publsiher: Courier Corporation
Total Pages: 262
Release: 1996-01-01
Genre: Mathematics
ISBN: 0486691489

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Stimulating collection of over 300 unusual problems involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms and more. Problems range from easy to difficult. Detailed solutions, as well as brief answers, for all problems are provided.

Linear Algebra

Linear Algebra
Author: Fuzhen Zhang
Publsiher: JHU Press
Total Pages: 174
Release: 1996-08-22
Genre: Mathematics
ISBN: 0801854598

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"Linear algebra is an increasingly important part of any curriculum in mathematics in our days... A well-organized problem book, like this, will surely be welcomed by students as well as by instructors." -- Zentralblatt fuer Mathematik

Open Middle Math

Open Middle Math
Author: Robert Kaplinsky
Publsiher: Unknown
Total Pages: 192
Release: 2019
Genre: Language arts
ISBN: 9781625311740

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Imagine that you assign a math problem and your students, instead of getting discouraged after not solving it on the first attempt, start working harder--as if on a quest to figure out the answer. They talk to each other and enthusiastically share their discoveries. What could possibly make this fantastic scenario come true? The answer is: the Open Middle math problems and strategies in this book. Open Middle Math by Robert Kaplinsky gives middle and high school teachers the problems and planning guidance that will encourage students to see mathematics in an entirely different light. These challenging and rewarding Open Middle math problems will help you see your students build genuine conceptual understanding, perseverance, and creativity. Inside, you'll learn how to: Implement Open Middle math problems that are simultaneously accessible for both students who are struggling and those looking for more challenge. Select and create Open Middle math problems that will help you detect students' misconceptions and strengthen their conceptual understanding. Prepare for and facilitate powerful classroom conversations using Open Middle math problems. Access resources that will help you continue learning beyond this book. With these practical and intuitive strategies, extensive resources, and Robert's own stories about his journey learning to use Open Middle math problems successfully, you will be able to support, challenge, and motivate all your students.

101 Problems in Algebra

101 Problems in Algebra
Author: Titu Andreescu,Zuming Feng
Publsiher: Unknown
Total Pages: 139
Release: 2001-01-01
Genre: Algebra
ISBN: 187642012X

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Equations and Inequalities

Equations and Inequalities
Author: Jiri Herman,Radan Kucera,Jaromir Simsa
Publsiher: Springer Science & Business Media
Total Pages: 344
Release: 2012-12-06
Genre: Mathematics
ISBN: 9781461212706

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A look at solving problems in three areas of classical elementary mathematics: equations and systems of equations of various kinds, algebraic inequalities, and elementary number theory, in particular divisibility and diophantine equations. In each topic, brief theoretical discussions are followed by carefully worked out examples of increasing difficulty, and by exercises which range from routine to rather more challenging problems. While it emphasizes some methods that are not usually covered in beginning university courses, the book nevertheless teaches techniques and skills which are useful beyond the specific topics covered here. With approximately 330 examples and 760 exercises.

Challenging Problems in Geometry

Challenging Problems in Geometry
Author: Alfred S. Posamentier,Charles T. Salkind
Publsiher: Courier Corporation
Total Pages: 256
Release: 2012-04-30
Genre: Mathematics
ISBN: 9780486134864

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Collection of nearly 200 unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency and more. Arranged in order of difficulty. Detailed solutions.

Introduction to Abstract Algebra

Introduction to Abstract Algebra
Author: W. Keith Nicholson
Publsiher: John Wiley & Sons
Total Pages: 535
Release: 2012-03-20
Genre: Mathematics
ISBN: 9781118135358

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Praise for the Third Edition ". . . an expository masterpiece of the highest didactic value that has gained additional attractivity through the various improvements . . ."—Zentralblatt MATH The Fourth Edition of Introduction to Abstract Algebra continues to provide an accessible approach to the basic structures of abstract algebra: groups, rings, and fields. The book's unique presentation helps readers advance to abstract theory by presenting concrete examples of induction, number theory, integers modulo n, and permutations before the abstract structures are defined. Readers can immediately begin to perform computations using abstract concepts that are developed in greater detail later in the text. The Fourth Edition features important concepts as well as specialized topics, including: The treatment of nilpotent groups, including the Frattini and Fitting subgroups Symmetric polynomials The proof of the fundamental theorem of algebra using symmetric polynomials The proof of Wedderburn's theorem on finite division rings The proof of the Wedderburn-Artin theorem Throughout the book, worked examples and real-world problems illustrate concepts and their applications, facilitating a complete understanding for readers regardless of their background in mathematics. A wealth of computational and theoretical exercises, ranging from basic to complex, allows readers to test their comprehension of the material. In addition, detailed historical notes and biographies of mathematicians provide context for and illuminate the discussion of key topics. A solutions manual is also available for readers who would like access to partial solutions to the book's exercises. Introduction to Abstract Algebra, Fourth Edition is an excellent book for courses on the topic at the upper-undergraduate and beginning-graduate levels. The book also serves as a valuable reference and self-study tool for practitioners in the fields of engineering, computer science, and applied mathematics.

How to Solve Word Problems in Algebra 2nd Edition

How to Solve Word Problems in Algebra  2nd Edition
Author: Mildred Johnson,Timothy Johnson
Publsiher: McGraw Hill Professional
Total Pages: 192
Release: 1993-01-21
Genre: Mathematics
ISBN: 9780071368216

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Solving word problems has never been easier than with Schaum's How to Solve Word Problems in Algebra! This popular study guide shows students easy ways to solve what they struggle with most in algebra: word problems. How to Solve Word Problems in Algebra, Second Edition, is ideal for anyone who wants to master these skills. Completely updated, with contemporary language and examples, features solution methods that are easy to learn and remember, plus a self-test.

Problems in Abstract Algebra

Problems in Abstract Algebra
Author: Adrian R. Wadsworth
Publsiher: Unknown
Total Pages: 277
Release: 2017
Genre: Algebra, Abstract
ISBN: 147044044X

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5.9. Cyclotomic polynomials and cyclotomic extensions -- 5.10. Radical extensions, norms, and traces -- 5.11. Solvability by radicals -- Suggestions for Further Reading -- Bibliography -- Index of Notation -- Subject and Terminology Index -- Back Cover

50 Challenging Algebra Problems Fully Solved

50 Challenging Algebra Problems  Fully Solved
Author: Chris McMullen
Publsiher: Unknown
Total Pages: 112
Release: 2018-04-11
Genre: Electronic Book
ISBN: 1941691234

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These 50 challenging algebra problems involve applying a variety of algebra skills. The exercises come with a good range of difficulty from milder challenges to very hard problems. On the page following each problem you can find the full solution with explanations. quadratic equations system of equations cross multiplying factoring and distributing the f.o.i.l. method roots and powers fractions and negative numbers slopes and y-intercepts of straight lines word problems applications

Challenging Math Problems

Challenging Math Problems
Author: Terry Stickels
Publsiher: Courier Dover Publications
Total Pages: 112
Release: 2015-10-21
Genre: Mathematics
ISBN: 9780486808574

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"Fun and highly formidable math problems and puzzles from noted puzzle creator Terry Stickels." — Window on Resources Two friends wish to meet for breakfast twice a month throughout the year. In how many ways can they choose those two days so that they never meet on consecutive days? You want to measure 30 seconds and you have two pieces of string, each of which burns for 40 seconds. How can you accomplish this without bending, folding, or cutting the strings? A positive whole number is divisible by 3 and also by 5. When the number is divided by 7, the remainder is 5. What is the smallest number that could work? These are but a few of this book's assembly of the most challenging puzzles imaginable ― and they require no background in higher math, just good thinking skills. Terry Stickels, a well-known puzzle-maker, has compiled 101 of some of the best and most entertaining problems ever published. All of the challenges, which range from probability puzzles to dice games, have two things in common: each offers the "Aha!" moment of discovery that puzzle-solvers love, and they're all fun. Complete solutions for all puzzles explain every detail.

100 Great Problems of Elementary Mathematics

100 Great Problems of Elementary Mathematics
Author: Heinrich Dörrie
Publsiher: Courier Corporation
Total Pages: 416
Release: 2013-04-09
Genre: Mathematics
ISBN: 9780486318479

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Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge, Steiner, and other great mathematical minds. Features squaring the circle, pi, and similar problems. No advanced math is required. Includes 100 problems with proofs.

Problem Solving Strategies

Problem Solving Strategies
Author: Arthur Engel
Publsiher: Springer Science & Business Media
Total Pages: 403
Release: 2008-01-19
Genre: Mathematics
ISBN: 9780387226415

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A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.

Linear Algebra Problem Book

Linear Algebra Problem Book
Author: Paul R. Halmos
Publsiher: American Mathematical Soc.
Total Pages: 333
Release: 1995-12-31
Genre: Mathematics
ISBN: 9781614442127

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Linear Algebra Problem Book can be either the main course or the dessert for someone who needs linear algebraand today that means every user of mathematics. It can be used as the basis of either an official course or a program of private study. If used as a course, the book can stand by itself, or if so desired, it can be stirred in with a standard linear algebra course as the seasoning that provides the interest, the challenge, and the motivation that is needed by experienced scholars as much as by beginning students. The best way to learn is to do, and the purpose of this book is to get the reader to DO linear algebra. The approach is Socratic: first ask a question, then give a hint (if necessary), then, finally, for security and completeness, provide the detailed answer.