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Mathematics for the liberal arts / / Donald Bindner, Martin J. Erickson, Joe Hemmeter
| Mathematics for the liberal arts / / Donald Bindner, Martin J. Erickson, Joe Hemmeter |
| Autore | Bindner Donald |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2013 |
| Descrizione fisica | 1 online resource (425 p.) |
| Disciplina | 510.9 |
| Soggetto topico | Mathematics - History |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-78539-318-9
1-118-37174-7 1-118-48164-X |
| Classificazione | MAT015000 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover ; Title Page ; Contents ; Preface ; PART I MATHEMATICS IN HISTORY; 1 the Ancient Roots of Mathematics ; 1.1 Introduction ; 1.2 Ancient Mesopotamia and Egypt ; 1.3 Early Greek Mathematics: the First Theorists ; 1.4 the Apex: Third Century Hellenistic Mathematics ; 1.5 the Slow Decline ; 2 the Growth of Mathematics to 1600 ; 2.1 China ; 2.2 India ; 2.3 Islam ; 2.4 European Mathematics Awakens ; 3 Modern Mathematics ; 3.1 the 17th Century: Scientific Revolution ; 3.2 the 18th Century: Consolidation ; 3.3 the 19th Century: Expansion ; 3.4 the 20th and 21st Centuries: Explosion
3.5 the Future PART II TWO PILLARS OF MATHEMATICS; 4 Calculus ; 4.1 What Is Calculus? ; 4.2 Average and Instantaneous Velocity ; 4.3 Tangent Line to a Curve ; 4.4 the Derivative ; 4.5 Formulas for Derivatives ; 4.6 the Product Rule and Quotient Rule ; 4.7 the Chain Rule ; 4.8 Slopes and Optimization ; 4.9 Applying Optimization Methods ; 4.10 Differential Notation and Estimates ; 4.11 Marginal Revenue, Cost, and Profit ; 4.12 Exponential Growth ; 4.13 Periodic Functions and Trigonometry ; 4.14 the Fundamental Theorem of Calculus ; 4.15 the Riemann Integral 4.16 Signed Areas and Other Integrals 4.17 Application: Rocket Science ; 4.18 Infinite Sums ; 4.19 Exponential Growth and Doubling Times ; 4.20 Beyond Calculus ; 5 Number Theory ; 5.1 What Is Number Theory? ; 5.2 Divisibility ; 5.3 Irrational Numbers ; 5.4 Greatest Common Divisors ; 5.5 Primes ; 5.6 Relatively Prime Integers ; 5.7 Mersenne and Fermat Primes ; 5.8 the Fundamental Theorem of Arithmetic ; 5.9 Diophantine Equations ; 5.10 Linear Diophantine Equations ; 5.11 Pythagorean Triples ; 5.12 an Introduction to Modular Arithmetic ; 5.13 Congruence ; 5.14 Arithmetic with Congruences 5.15 Division with Congruences Finite Fields ; 5.16 Fermat's Last Theorem ; 5.17 Unfinished Business ; A Answers to Selected Exercises ; B Suggested Reading ; Index |
| Record Nr. | UNINA-9910464512803321 |
Bindner Donald
|
||
| Hoboken, New Jersey : , : Wiley, , 2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematics for the Liberal Arts
| Mathematics for the Liberal Arts |
| Autore | Bindner Donald |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Somerset : , : John Wiley & Sons, Incorporated, , 2012 |
| Descrizione fisica | 1 online resource (425 pages) |
| Disciplina | 510.9 |
| Altri autori (Persone) |
EricksonMartin J
HemmeterJoe |
| Soggetto topico |
Algebra
Mathematics -- History -- Textbooks Mathematics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
9781118371749
9781118352915 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover -- Title Page -- Contents -- Preface -- PART I MATHEMATICS IN HISTORY -- 1 the Ancient Roots of Mathematics -- 1.1 Introduction -- 1.2 Ancient Mesopotamia and Egypt -- 1.3 Early Greek Mathematics: the First Theorists -- 1.4 the Apex: Third Century Hellenistic Mathematics -- 1.5 the Slow Decline -- 2 the Growth of Mathematics to 1600 -- 2.1 China -- 2.2 India -- 2.3 Islam -- 2.4 European Mathematics Awakens -- 3 Modern Mathematics -- 3.1 the 17th Century: Scientific Revolution -- 3.2 the 18th Century: Consolidation -- 3.3 the 19th Century: Expansion -- 3.4 the 20th and 21st Centuries: Explosion -- 3.5 the Future -- PART II TWO PILLARS OF MATHEMATICS -- 4 Calculus -- 4.1 What Is Calculus? -- 4.2 Average and Instantaneous Velocity -- 4.3 Tangent Line to a Curve -- 4.4 the Derivative -- 4.5 Formulas for Derivatives -- 4.6 the Product Rule and Quotient Rule -- 4.7 the Chain Rule -- 4.8 Slopes and Optimization -- 4.9 Applying Optimization Methods -- 4.10 Differential Notation and Estimates -- 4.11 Marginal Revenue, Cost, and Profit -- 4.12 Exponential Growth -- 4.13 Periodic Functions and Trigonometry -- 4.14 the Fundamental Theorem of Calculus -- 4.15 the Riemann Integral -- 4.16 Signed Areas and Other Integrals -- 4.17 Application: Rocket Science -- 4.18 Infinite Sums -- 4.19 Exponential Growth and Doubling Times -- 4.20 Beyond Calculus -- 5 Number Theory -- 5.1 What Is Number Theory? -- 5.2 Divisibility -- 5.3 Irrational Numbers -- 5.4 Greatest Common Divisors -- 5.5 Primes -- 5.6 Relatively Prime Integers -- 5.7 Mersenne and Fermat Primes -- 5.8 the Fundamental Theorem of Arithmetic -- 5.9 Diophantine Equations -- 5.10 Linear Diophantine Equations -- 5.11 Pythagorean Triples -- 5.12 an Introduction to Modular Arithmetic -- 5.13 Congruence -- 5.14 Arithmetic with Congruences -- 5.15 Division with Congruences -- Finite Fields.
5.16 Fermat's Last Theorem -- 5.17 Unfinished Business -- A Answers to Selected Exercises -- B Suggested Reading -- Index. |
| Record Nr. | UNINA-9910795835803321 |
|
Bindner Donald
|
||
| Somerset : , : John Wiley & Sons, Incorporated, , 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||