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This is the new, improved 2nd Edition version of No-Nonsense Algebra. Completely edited, and now contains extra quizzes for each chapter to maximize learning.
Provides structure and guidance to the teacher by means of speed drills, review exercises, teacher tips, word problems and new material for each day.
Illustrated workbook for learning, practicing, and mastering elementary number theory in mathematics.
What good is math if you can't put it to good use? Studies show that problem solving is THE most neglected topic in most math programs. This book will ensure that the students develop their math critical thinking skills. Students will learn to apply whole numbers, fractions, decimals, and percents to real-life situations.
An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.
This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.
This textbook covers the material for an undergraduate linear algebra course: vectors, matrices, linear transformations, computational techniques, geometric constructions, and theoretical foundations. The explanations are given in an informal conversational tone. The book also contains 100+ problems and exercises with answers and solutions. A special feature of this textbook is the prerequisites chapter that covers topics from high school math, which are necessary for learning linear algebra. The presence of this chapter makes the book suitable for beginners and the general audience-readers need not be math experts to read this book. Another unique aspect of the book are the applications chapters (Ch 7, 8, and 9) that discuss applications of linear algebra to engineering, computer science, economics, chemistry, machine learning, and even quantum mechanics.
The perfect math refresher for audults. Short, concise lessons include video tutorials. Reasons you may need this book. You have a math phobia. You have forgotten the math that you learned. You are re-entering the workforce. A new job requires strong math skills. You need to improve math skills to advance your career. And the list goes on.
World Geography and Cultures delivers what teachers want: a geography program with relevance - why geography is important and how it relates to their students. This program offers consistent organization of physical geography, cultural geography, and case studies about living in the region that helps students understand the similarities and differences among regions giving them context in which to understand current world events. Includes print student edition