| Titre : | Mathematical notation : a guide for engineers and scientists |
| Auteurs : | Edward R. Scheinerman, Auteur ; Jonah Scheinerman, Illustrateur |
| Type de document : | Monographie imprimée |
| Editeur : | Create Space Independent Publishing Platform, 2011 |
| ISBN/ISSN/EAN : | 978-1-4662-3052-1 |
| Format : | 1 vol. (84 p.) / couv. ill. en coul. / 22.7 cm |
| Langues: | Anglais |
| Index. décimale : | 510 |
| Résumé : |
Mathematics is a language with a unique vocabulary, written with a dizzying array of often incomprehesnible symbols. If we are unsure of the meaning or usage of a mathematical word, a quick internet search is invaluable. But what are we to do when confronted with some strange mathematical hieroglyph? What does one type into the search bar? This book is the answer! Our goal is to cover mathematical notation commonly used by engineers and scientists---notation a university student is likely to encounter. We make no attempt to teach the mathematics behind these symbols. Rather, our goal is to give reminders of what these symbols mean; from there, we can consult textbooks or resources on the web. The book is organized by mathematical topic, but multiple indices steer the reader to each symbol's explanation. We also show how to produce the symbols in LaTeX and give guidance on their mathematical usage. |
| Sommaire : |
Preface vi How to use this Guide vii How not to use this Guide viii Acknowledgments vii i Chapter 1. Letters 1. The Latin alphabet 1 2. The Greek alphabet 2 3. Decorations 2 4. Traditional uses 3 Chapter 2. Collections 5 1. Sets 5 2. Lists 8 3. Big sums, products, and so on 8 Chapter 3. Logic 11 1. Boolean operations and proof symbols 11 2. Quantifiers 12 Chapter 4. Numbers 13 1. Real numbers 13 2. Subsets of the reals 15 3. "Famous" real numbers 16 4. Complex numbers 17 5. Basic operation§ 18 6. Other number 4stems 18 7. To infinity and beyond 19 Chapter 5. Geometry 21 1. Fundamentals 21 2. Coordinates 22 3. Differential geometry 23 Chapter 6. Functions 25 1. Fundamentals 25 2. Standard functions 27 3. Classes of functions 33 4. Polynomials, power series, and rational functions 34 5. Miscellany 35 Chapter 7. Linear Algebra 39 1. Vectors 39 2. Matrices 41 3. Tensors 47 Chapter 8. Calculus 49 1. Limits 49 2. Derivatives (single independent variable, scalar- or vector-valued) 49 3. Derivatives (multiple independent variables, scalar-valued) 50 4. Derivatives (multiple independent variables, vector-valued) 52 5. Integration 54 6. Convolution and transforms 55 Chapter 9. Probability and Statistics 57 1. Probability 57 2. Statistics 61 Chapter 10. Approximation 63 1. Approximate equality of numbers 63 2. Asymptotic relations 63 3. Big-oh notation and its relatives 64 Bibliography 67 Chart 69 Alphabetical Notation Index 73 Greek Notation Index 77 Topic Index 79 |
Disponibilité (2)
| Cote | Support | Localisation | Statut |
|---|---|---|---|
| MAT/799 | Livre | bibliothèque sciences exactes | Empruntable |
| MAT/799 | Livre | bibliothèque sciences exactes | Consultable |
