Challenging Problems in Algebra


Book Description

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.




Answers to Life's Problems


Book Description

Imagine being able to sit down with Billy Graham and ask him for advice. In response to thousands of letters, Billy Graham offers guidance and answers to the most-often asked questions about every aspect of life, including relationships, ethics, psychological problems and spirituality.




Topics in Algebra


Book Description

New edition includes extensive revisions of the material on finite groups and Galois Theory. New problems added throughout.




Questions Are the Answer


Book Description

2018 Nautilus Book Awards Silver Winner What if you could unlock a better answer to your most vexing problem—in your workplace, community, or home life—just by changing the question? Talk to creative problem-solvers and they will often tell you, the key to their success is asking a different question. Take Debbie Sterling, the social entrepreneur who created GoldieBlox. The idea came when a friend complained about too few women in engineering and Sterling wondered aloud: "why are all the great building toys made for boys?" Or consider Nobel laureate Richard Thaler, who asked: "would it change economic theory if we stopped pretending people were rational?" Or listen to Jeff Bezos whose relentless approach to problem solving has fueled Amazon’s exponential growth: “Getting the right question is key to getting the right answer.” Great questions like these have a catalytic quality—that is, they dissolve barriers to creative thinking and channel the pursuit of solutions into new, accelerated pathways. Often, the moment they are voiced, they have the paradoxical effect of being utterly surprising yet instantly obvious. For innovation and leadership guru Hal Gregersen, the power of questions has always been clear—but it took some years for the follow-on question to hit him: If so much depends on fresh questions, shouldn’t we know more about how to arrive at them? That sent him on a research quest ultimately including over two hundred interviews with creative thinkers. Questions Are the Answer delivers the insights Gregersen gained about the conditions that give rise to catalytic questions—and breakthrough insights—and how anyone can create them.




Introduction To Algorithms


Book Description

An extensively revised edition of a mathematically rigorous yet accessible introduction to algorithms.




Problem Solving Through Recreational Mathematics


Book Description

Fascinating approach to mathematical teaching stresses use of recreational problems, puzzles, and games to teach critical thinking. Logic, number and graph theory, games of strategy, much more. Includes answers to selected problems. Free solutions manual available for download at the Dover website.




Real Analysis


Book Description

Real Analysis is a comprehensive introduction to this core subject and is ideal for self-study or as a course textbook for first and second-year undergraduates. Combining an informal style with precision mathematics, the book covers all the key topics with fully worked examples and exercises with solutions. All the concepts and techniques are deployed in examples in the final chapter to provide the student with a thorough understanding of this challenging subject. This book offers a fresh approach to a core subject and manages to provide a gentle and clear introduction without sacrificing rigour or accuracy.




How to Prove It


Book Description

Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.




Solutions and Other Problems


Book Description

This follow-up to Hyperbole and a Half "includes humorous stories from [cartoonist] Allie Brosh's childhood; the adventures of her very bad animals; merciless dissection of her own character flaws; incisive essays on grief, loneliness, and powerlessness; [and] reflections on the absurdity of modern life"--Publisher marketing.




Word Problems with Answers


Book Description

This book includes 200 word problems with answers. Some tips and a few examples are provided in an Idea Center section at the back of the book. Several topics are included, such as: 11 age problems 15 rate problems 3 mixture problems that do not involve liquids (these more tangible mixtures involve rocks or balls, which allow students to develop an understanding of how the mixture concept works) 4 problems involving working together (or against) 4 problems that are similar to the classic handshaking problem several problems that involve ratios or proportions 7 problems that involve counting permutations or combinations 10 problems that involve calculating the likelihood of an event occurring several problems that feature geometric shapes 4 problems that require making predictions 3 problems that involve other number systems, like base 3 or 9 several counting problems 10 comparison problems 5 remainder problems several problems that involve money several problems that involve fractions, decimals, or percents and a variety of other word problems The author, Chris McMullen, Ph.D., has over twenty years of experience teaching math skills to physics students. He prepared this workbook of the Improve Your Math Fluency series to share his passion for word problems.