LEADER 04267nam 2200673 450 001 9910464512803321 005 20200520144314.0 010 $a1-78539-318-9 010 $a1-118-37174-7 010 $a1-118-48164-X 035 $a(CKB)3710000000198610 035 $a(EBL)947877 035 $a(SSID)ssj0001262172 035 $a(PQKBManifestationID)12561679 035 $a(PQKBTitleCode)TC0001262172 035 $a(PQKBWorkID)11215889 035 $a(PQKB)10610637 035 $a(PQKBManifestationID)16037431 035 $a(PQKB)22345114 035 $a(MiAaPQ)EBC947877 035 $a(DLC) 2012032029 035 $a(Au-PeEL)EBL947877 035 $a(CaPaEBR)ebr10895754 035 $a(CaONFJC)MIL629205 035 $a(OCoLC)884012780 035 $a(EXLCZ)993710000000198610 100 $a20140804h20132013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aMathematics for the liberal arts /$fDonald Bindner, Martin J. Erickson, Joe Hemmeter 210 1$aHoboken, New Jersey :$cWiley,$d2013. 210 4$dİ2013 215 $a1 online resource (425 p.) 300 $aDescription based upon print version of record. 311 $a1-118-35291-2 320 $aIncludes bibliographical references and index. 327 $aCover ; 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 327 $a3.5 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 327 $a4.16 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 327 $a5.15 Division with Congruences Finite Fields ; 5.16 Fermat's Last Theorem ; 5.17 Unfinished Business ; A Answers to Selected Exercises ; B Suggested Reading ; Index 330 $a"With an emphasis on the history of mathematics, this book offers a well-written introduction to number theory and calculus and presents numerous applications throughout to illustrate the accessibility and practicality of the topic. It features numerous figures and diagrams and hundreds of worked examples and exercises--and includes six chapters that allow for a flexible format for a one-semester course or complete coverage for a two-semester course"--$cProvided by publisher. 606 $aMathematics$xHistory$vTextbooks 608 $aElectronic books. 615 0$aMathematics$xHistory 676 $a510.9 686 $aMAT015000$2bisacsh 700 $aBindner$b Donald$0983313 702 $aErickson$b Martin J.$f1963- 702 $aHemmeter$b Joe$f1950- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910464512803321 996 $aMathematics for the liberal arts$92244718 997 $aUNINA