Math Proofs Demystified

Almost every student has to study some sort of mathematical proofs, whether it be in geometry, trigonometry, or with higher-level topics. In addition, mathematical theorems have become an interesting course for many students outside of the mathematical arena, purely for the reasoning and logic that is needed to complete them. Therefore, it is not uncommon to have philosophy and law students grappling with proofs. This book is the perfect resource for demystifying the techniques and principles that govern the mathematical proof area, and is done with the standard “Demystified” level, questions and answers, and accessibility.

MULTIPLY your chances of understanding DISCRETE MATHEMATICS If you're interested in learning the fundamentals of discrete mathematics but can't seem to get your brain to function, then here's your solution. Add this easy-to-follow guide to the equation and calculate how quickly you learn the essential concepts. Written by award-winning math professor Steven Krantz, Discrete Mathematics Demystified explains this challenging topic in an effective and enlightening way. You will learn about logic, proofs, functions, matrices, sequences, series, and much more. Concise explanations, real-world examples, and worked equations make it easy to understand the material, and end-of-chapter exercises and a final exam help reinforce learning. This fast and easy guide offers: Numerous figures to illustrate key concepts Sample problems with worked solutions Coverage of set theory, graph theory, and number theory Chapters on cryptography and Boolean algebra A time-saving approach to performing better on an exam or at work Simple enough for a beginner, but challenging enough for an advanced student, Discrete Mathematics Demystified is your integral tool for mastering this complex subject.

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.

Your solution to MATH word PROBLEMS! Find yourself stuck on the tracks when two trains are traveling at different speeds? Help has arrived! Math Word Problems Demystified, Second Edition is your ticket to problem-solving success. Based on mathematician George Polya's proven four-step process, this practical guide helps you master the basic procedures and develop a plan of action you can use to solve many different types of word problems. Tips for using systems of equations and quadratic equations are included. Detailed examples and concise explanations make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce learning. It's a no-brainer! You'll learn to solve: Decimal, fraction, and percent problems Proportion and formula problems Number and digit problems Distance and mixture problems Finance, lever, and work problems Geometry, probability, and statistics problems Simple enough for a beginner, but challenging enough for an advanced student, Math Word Problems Demystified, Second Edition helps you master this essential mathematics skill.

James D. Broesch is a staff engineer for General Atomics, where he is responsible for the design and development of several advanced control systems used on fusion control programs. He also teaches classes in signal processing and hardware design at the University of California-San Diego. · Integrated book/software package allows readers to simulate digital signal processing (DSP) situations and experiment with effects of different DSP techniques.· Gives an applications-oriented approach to DSP instead of a purely mathematical one.· The accompanying CD includes a DSP "calculator" to help solve design problems

An enlightening guide to optics Are you in the dark when it comes to understanding the science of optics? Now there's a glimmer in the gloom! Optics Demystified brings this challenging topic into focus. Written in an easy-to-follow format, this practical guide begins by covering the nature of light, the electromagnetic spectrum, reflection, refraction, and color dispersion. You'll move on to common optical devices and effects, lasers, and optical data transmission technology. Industrial, medical, and military applications are discussed, as are exotic optics such as holography. Detailed examples and concise explanations make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce learning. It's a no-brainer! You'll get: Explanations of the particle and wave theories Analysis of optical microscopes and telescopes Functional details of fiber optics A sampling of optical illusions A time-saving approach to performing better on an exam or at work Simple enough for a beginner but challenging enough for an advanced student, Optics Demystified illuminates this vital physics topic.

Say sayonara to your fears of speaking Japanese! Interested in learning to speak Japanese but feel intimidated by the complex characters and pronunciations? No need to worry! Even if your only experience is ordering sushi, Japanese Demystified will have you saying konnichiwa to your new language skills in no time. Beginning with a review of Japanese writing systems, basic pronunciation, and everyday expressions, this book covers key grammar fundamentals such as particles, nouns, verb forms, and honorifics. You'll build your Japanese vocabulary with essential words and phrases and quickly master this challenging language. Test yourself at the end of every chapter for reinforcement that you're fast on your way to speaking, writing, and understanding Japanese. This fast and easy guide features: Clear and straightforward explanations of Japanese grammar fundamentals Numerous examples of simple and complex sentence structures Japanese hiragana, katakana, and kanji with phonetic transliterations for all Japanese words Helpful writing and speaking exercises that bring the Japanese language to life Coverage of everyday topics as well as conversational expressions Quizzes at the end of each chapter to reinforce new material Simple enough for a beginner, but challenging enough for a more experienced student, Japanese Demystified is your shortcut to mastering this complex language.

Making sense of LOGIC just got a whole lot EASIER! Stumped trying to understand logic? It's time to listen to reason! There's no doubt that Logic Demystified will help you master this challenging subject. Written in a step-by-step format, this practical guide begins by covering arguments, validity, and truth tables. You'll move on to propositional and predicate logic, rigor, fallacies, paradoxes, and revelations. Proofs, Boolean algebra, the logic of machines, and sets are discussed as is the illogic of time, matter, space, and chaos. Detailed examples and concise explanations make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce learning. It's a no-brainer! You'll get: Rules for reasoning Quantified statements and theorems Simple and classical paradoxes Strategies for proofs Basic set theory and machine logic A time-saving approach to performing better on homework, an exam, or at work Simple enough for a beginner, but challenging enough for an advanced student, Logic Demystified helps you validate your knowledge of this multidisciplinary topic.