Mathematics

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. Livro em perfeito estado Retirada no bairro Butantã, em SP ou envio pelo correio.

Livro novo, embalado no plástico, recebido pelo trabalho de tradução. Livro: Operando Price Action: Lateralidades Autor: Al Brooks Conteúdo: Basics for All Three Books · Signs of Strength: Reversal Bars, Trends, Breakouts · Bar Counting Basics: High 1, High 2, Low 1, Low 2 · Definitions Breakouts: Transitioning into a new Trend · Example of How to Trade a Breakout · Signs of Strength in a Breakout · Initial Breakout · Breakout Entries in Existing Strong Trends · Failed Breakouts, Breakout Pullbacks, and Breakout Tests Gaps Magnets: Support and Resistance · Measured Moves Based on the Size of the First Leg · Measured Moves Based on Gaps and Trading Ranges · Reversals Often End at Signal Bars from Prior Failed Reversals · Other Magnets Pullbacks: Trends Converting to Trading Ranges · First Pullback Sequence: Bar, Minor Trend Line, moving average, moving average Gap, Major Trend Line · Double Top Bear Flags and Double Bottom Bull Flags · Twenty Gap Bars · Moving average gap Bars · Key Inflection Times of the Day that Set Up Breakouts and Reversals · Counting the legs of Trends and Trading Ranges · High and Low 1, 2, 3, and 4 Patterns and ABC Corrections · Wedge and Other Three Push Pullbacks · Dueling Lines: Wedge Pullback to the Trend Line · ?Reversal? Patterns: Double Tops and Bottoms and Head and Shoulders Tops and Bottoms Trading Ranges. Example of How to Trade a Trading Range · Tight Trading Ranges · Triangles Orders and Trade Management · Scalping, Swinging, Trading, and Investing · Mathematics of Trading and Directional Probability: The Odds of Making X Points Before Losing Y Points · Need Two Reasons to Take a Trade · Entering on Stops · Entering on Limits · Protective and Trailing Stops · Profit Targets · Scaling into and out of a Trade · Getting Trapped In or Out of a Trade