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The language of mathematics [[electronic resource] ] : utilizing math in practice / / Robert L. Baber
| The language of mathematics [[electronic resource] ] : utilizing math in practice / / Robert L. Baber |
| Autore | Baber Robert Laurence |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, 2011 |
| Descrizione fisica | 1 online resource (438 p.) |
| Disciplina |
510.1/4
510.14 |
| Soggetto topico |
Mathematical notation
English language - Machine translating |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-29461-3
9786613294616 1-118-06176-4 1-118-06177-2 1-118-06171-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
THE LANGUAGE OF MATHEMATICS; CONTENTS; LIST OF TABLES; PREFACE; PART A INTRODUCTORY OVERVIEW; 1 Introduction; 1.1 What Is Language?; 1.2 What Is Mathematics?; 1.3 Why Use Mathematics?; 1.4 Mathematics and Its Language; 1.5 The Role of Translating English to Mathematics in Applying Mathematics; 1.6 The Language of Mathematics vs. Mathematics vs. Mathematical Models; 1.7 Goals and Intended Readership; 1.8 Structure of the Book; 1.9 Guidelines for the Reader; 2 Preview: Some Statements in English and the Language of Mathematics; 2.1 An Ancient Problem: Planning the Digging of a Canal
2.2 The Wall Around the Ancient City of Uruk2.3 A Numerical Thought Puzzle; 2.4 A Nursery Rhyme; 2.5 Making a Pot of Tea; 2.6 Combining Data Files; 2.7 Selecting a Telephone Tariff; 2.8 Interest on Savings Accounts, Bonds, etc.; 2.9 Sales and Value-Added Tax on Sales of Goods and Services; 2.10 A Hand of Cards; 2.11 Shear and Moment in a Beam; 2.12 Forming Abbreviations of Names; 2.13 The Energy in Earth's Reflected Sunlight vs. That in Extracted Crude Oil; PART B MATHEMATICS AND ITS LANGUAGE; 3 Elements of the Language of Mathematics; 3.1 Values; 3.2 Variables; 3.3 Functions; 3.4 Expressions 3.4.1 Standard Functional Notation3.4.2 Infix Notation; 3.4.3 Tree Notation; 3.4.4 Prefix and Postfix Notation; 3.4.5 Tabular Notation; 3.4.6 Graphical Notation; 3.4.7 Figures, Drawings, and Diagrams; 3.4.8 Notation for Series and Quantification; 3.4.9 Specialized Notational Forms for Certain Expressions; 3.4.10 Advantages and Disadvantages of the Different Notational Forms; 3.5 Evaluating Variables, Functions, and Expressions; 3.5.1 Complete (Total) Evaluation; 3.5.2 Partial Evaluation; 3.5.3 Undefined Values of Functions and Expressions; 3.6 Representations of Values vs. Names of Variables 4 Important Structures and Concepts in the Language of Mathematics4.1 Common Structures of Values; 4.1.1 Sets; 4.1.2 Arrays (Indexed Variables), Subscripted Variables, and Matrices; 4.1.3 Sequences; 4.1.4 The Equivalence of Array Variables, Functions, Sequences, and Variables; 4.1.5 Direct Correspondence of Other Mathematical Objects and Structures; 4.1.6 Relations; 4.1.7 Finite State Machines; 4.2 Infinity; 4.3 Iterative Definitions and Recursion; 4.4 Convergence, Limits, and Bounds; 4.5 Calculus; 4.6 Probability Theory; 4.6.1 Mathematical Model of a Probabilistic Process 4.6.2 Mean, Median, Variance, and Deviation4.6.3 Independent Probabilistic Processes; 4.6.4 Dependent Probabilistic Processes and Conditional Probabilities; 4.7 Theorems; 4.8 Symbols and Notation; 5 Solving Problems Mathematically; 5.1 Manipulating Expressions; 5.2 Proving Theorems; 5.2.1 Techniques and Guidelines for Proving Theorems; 5.2.2 Notation for Proofs; 5.2.3 Lemmata and Examples of Proofs; 5.2.4 Additional Useful Identities; 5.3 Solving Equations and Other Boolean Expressions; 5.4 Solving Optimization Problems PART C ENGLISH, THE LANGUAGE OF MATHEMATICS, AND TRANSLATING BETWEEN THEM |
| Record Nr. | UNISA-996211112003316 |
Baber Robert Laurence
|
||
| Hoboken, N.J., : Wiley, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
The language of mathematics [[electronic resource] ] : utilizing math in practice / / Robert L. Baber
| The language of mathematics [[electronic resource] ] : utilizing math in practice / / Robert L. Baber |
| Autore | Baber Robert Laurence |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, 2011 |
| Descrizione fisica | 1 online resource (438 p.) |
| Disciplina |
510.1/4
510.14 |
| Soggetto topico |
Mathematical notation
English language - Machine translating |
| ISBN |
1-283-29461-3
9786613294616 1-118-06176-4 1-118-06177-2 1-118-06171-3 |
| Classificazione | MAT025000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
THE LANGUAGE OF MATHEMATICS; CONTENTS; LIST OF TABLES; PREFACE; PART A INTRODUCTORY OVERVIEW; 1 Introduction; 1.1 What Is Language?; 1.2 What Is Mathematics?; 1.3 Why Use Mathematics?; 1.4 Mathematics and Its Language; 1.5 The Role of Translating English to Mathematics in Applying Mathematics; 1.6 The Language of Mathematics vs. Mathematics vs. Mathematical Models; 1.7 Goals and Intended Readership; 1.8 Structure of the Book; 1.9 Guidelines for the Reader; 2 Preview: Some Statements in English and the Language of Mathematics; 2.1 An Ancient Problem: Planning the Digging of a Canal
2.2 The Wall Around the Ancient City of Uruk2.3 A Numerical Thought Puzzle; 2.4 A Nursery Rhyme; 2.5 Making a Pot of Tea; 2.6 Combining Data Files; 2.7 Selecting a Telephone Tariff; 2.8 Interest on Savings Accounts, Bonds, etc.; 2.9 Sales and Value-Added Tax on Sales of Goods and Services; 2.10 A Hand of Cards; 2.11 Shear and Moment in a Beam; 2.12 Forming Abbreviations of Names; 2.13 The Energy in Earth's Reflected Sunlight vs. That in Extracted Crude Oil; PART B MATHEMATICS AND ITS LANGUAGE; 3 Elements of the Language of Mathematics; 3.1 Values; 3.2 Variables; 3.3 Functions; 3.4 Expressions 3.4.1 Standard Functional Notation3.4.2 Infix Notation; 3.4.3 Tree Notation; 3.4.4 Prefix and Postfix Notation; 3.4.5 Tabular Notation; 3.4.6 Graphical Notation; 3.4.7 Figures, Drawings, and Diagrams; 3.4.8 Notation for Series and Quantification; 3.4.9 Specialized Notational Forms for Certain Expressions; 3.4.10 Advantages and Disadvantages of the Different Notational Forms; 3.5 Evaluating Variables, Functions, and Expressions; 3.5.1 Complete (Total) Evaluation; 3.5.2 Partial Evaluation; 3.5.3 Undefined Values of Functions and Expressions; 3.6 Representations of Values vs. Names of Variables 4 Important Structures and Concepts in the Language of Mathematics4.1 Common Structures of Values; 4.1.1 Sets; 4.1.2 Arrays (Indexed Variables), Subscripted Variables, and Matrices; 4.1.3 Sequences; 4.1.4 The Equivalence of Array Variables, Functions, Sequences, and Variables; 4.1.5 Direct Correspondence of Other Mathematical Objects and Structures; 4.1.6 Relations; 4.1.7 Finite State Machines; 4.2 Infinity; 4.3 Iterative Definitions and Recursion; 4.4 Convergence, Limits, and Bounds; 4.5 Calculus; 4.6 Probability Theory; 4.6.1 Mathematical Model of a Probabilistic Process 4.6.2 Mean, Median, Variance, and Deviation4.6.3 Independent Probabilistic Processes; 4.6.4 Dependent Probabilistic Processes and Conditional Probabilities; 4.7 Theorems; 4.8 Symbols and Notation; 5 Solving Problems Mathematically; 5.1 Manipulating Expressions; 5.2 Proving Theorems; 5.2.1 Techniques and Guidelines for Proving Theorems; 5.2.2 Notation for Proofs; 5.2.3 Lemmata and Examples of Proofs; 5.2.4 Additional Useful Identities; 5.3 Solving Equations and Other Boolean Expressions; 5.4 Solving Optimization Problems PART C ENGLISH, THE LANGUAGE OF MATHEMATICS, AND TRANSLATING BETWEEN THEM |
| Record Nr. | UNINA-9910132372603321 |
|
Baber Robert Laurence
|
||
| Hoboken, N.J., : Wiley, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The language of mathematics [[electronic resource] ] : utilizing math in practice / / Robert L. Baber
| The language of mathematics [[electronic resource] ] : utilizing math in practice / / Robert L. Baber |
| Autore | Baber Robert Laurence |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley, 2011 |
| Descrizione fisica | 1 online resource (438 p.) |
| Disciplina |
510.1/4
510.14 |
| Soggetto topico |
Mathematical notation
English language - Machine translating |
| ISBN |
1-283-29461-3
9786613294616 1-118-06176-4 1-118-06177-2 1-118-06171-3 |
| Classificazione | MAT025000 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
THE LANGUAGE OF MATHEMATICS; CONTENTS; LIST OF TABLES; PREFACE; PART A INTRODUCTORY OVERVIEW; 1 Introduction; 1.1 What Is Language?; 1.2 What Is Mathematics?; 1.3 Why Use Mathematics?; 1.4 Mathematics and Its Language; 1.5 The Role of Translating English to Mathematics in Applying Mathematics; 1.6 The Language of Mathematics vs. Mathematics vs. Mathematical Models; 1.7 Goals and Intended Readership; 1.8 Structure of the Book; 1.9 Guidelines for the Reader; 2 Preview: Some Statements in English and the Language of Mathematics; 2.1 An Ancient Problem: Planning the Digging of a Canal
2.2 The Wall Around the Ancient City of Uruk2.3 A Numerical Thought Puzzle; 2.4 A Nursery Rhyme; 2.5 Making a Pot of Tea; 2.6 Combining Data Files; 2.7 Selecting a Telephone Tariff; 2.8 Interest on Savings Accounts, Bonds, etc.; 2.9 Sales and Value-Added Tax on Sales of Goods and Services; 2.10 A Hand of Cards; 2.11 Shear and Moment in a Beam; 2.12 Forming Abbreviations of Names; 2.13 The Energy in Earth's Reflected Sunlight vs. That in Extracted Crude Oil; PART B MATHEMATICS AND ITS LANGUAGE; 3 Elements of the Language of Mathematics; 3.1 Values; 3.2 Variables; 3.3 Functions; 3.4 Expressions 3.4.1 Standard Functional Notation3.4.2 Infix Notation; 3.4.3 Tree Notation; 3.4.4 Prefix and Postfix Notation; 3.4.5 Tabular Notation; 3.4.6 Graphical Notation; 3.4.7 Figures, Drawings, and Diagrams; 3.4.8 Notation for Series and Quantification; 3.4.9 Specialized Notational Forms for Certain Expressions; 3.4.10 Advantages and Disadvantages of the Different Notational Forms; 3.5 Evaluating Variables, Functions, and Expressions; 3.5.1 Complete (Total) Evaluation; 3.5.2 Partial Evaluation; 3.5.3 Undefined Values of Functions and Expressions; 3.6 Representations of Values vs. Names of Variables 4 Important Structures and Concepts in the Language of Mathematics4.1 Common Structures of Values; 4.1.1 Sets; 4.1.2 Arrays (Indexed Variables), Subscripted Variables, and Matrices; 4.1.3 Sequences; 4.1.4 The Equivalence of Array Variables, Functions, Sequences, and Variables; 4.1.5 Direct Correspondence of Other Mathematical Objects and Structures; 4.1.6 Relations; 4.1.7 Finite State Machines; 4.2 Infinity; 4.3 Iterative Definitions and Recursion; 4.4 Convergence, Limits, and Bounds; 4.5 Calculus; 4.6 Probability Theory; 4.6.1 Mathematical Model of a Probabilistic Process 4.6.2 Mean, Median, Variance, and Deviation4.6.3 Independent Probabilistic Processes; 4.6.4 Dependent Probabilistic Processes and Conditional Probabilities; 4.7 Theorems; 4.8 Symbols and Notation; 5 Solving Problems Mathematically; 5.1 Manipulating Expressions; 5.2 Proving Theorems; 5.2.1 Techniques and Guidelines for Proving Theorems; 5.2.2 Notation for Proofs; 5.2.3 Lemmata and Examples of Proofs; 5.2.4 Additional Useful Identities; 5.3 Solving Equations and Other Boolean Expressions; 5.4 Solving Optimization Problems PART C ENGLISH, THE LANGUAGE OF MATHEMATICS, AND TRANSLATING BETWEEN THEM |
| Record Nr. | UNINA-9910814944103321 |
|
Baber Robert Laurence
|
||
| Hoboken, N.J., : Wiley, 2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||