LEADER 05022nam 2200685 a 450 001 9910139737003321 005 20220504100759.0 010 $a1-283-40083-9 010 $a9786613400833 010 $a1-118-13014-6 010 $a1-118-13015-4 010 $a1-118-13012-X 035 $a(CKB)2550000000074224 035 $a(EBL)818446 035 $a(OCoLC)773301085 035 $a(SSID)ssj0000551530 035 $a(PQKBManifestationID)11354450 035 $a(PQKBTitleCode)TC0000551530 035 $a(PQKBWorkID)10525548 035 $a(PQKB)11224344 035 $a(MiAaPQ)EBC818446 035 $a(Au-PeEL)EBL818446 035 $a(CaPaEBR)ebr10518694 035 $a(CaONFJC)MIL340083 035 $a(PPN)185060552 035 $a(EXLCZ)992550000000074224 100 $a20110617d2012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aIntroduction to differential calculus$b[electronic resource] $esystematic studies with engineering applications for beginners /$fUlrich L. Rohde ... [et al.] 205 $a1st ed. 210 $aHoboken, N.J. $cWiley$d2012 215 $a1 online resource (779 p.) 300 $aDescription based upon print version of record. 311 $a1-118-11775-1 320 $aIncludes bibliographical references and index. 327 $aINTRODUCTION TO DIFFERENTIAL CALCULUS: Systematic Studies with Engineering Applications for Beginners; CONTENTS; Foreword; Preface; Biographies; Introduction; Acknowledgments; 1 From Arithmetic to Algebra (What must you know to learn Calculus?); 1.1 Introduction; 1.2 The Set of Whole Numbers; 1.3 The Set of Integers; 1.4 The Set of Rational Numbers; 1.5 The Set of Irrational Numbers; 1.6 The Set of Real Numbers; 1.7 Even and Odd Numbers; 1.8 Factors; 1.9 Prime and Composite Numbers; 1.10 Coprime Numbers; 1.11 Highest Common Factor (H.C.F.); 1.12 Least Common Multiple (L.C.M.) 327 $a1.13 The Language of Algebra1.14 Algebra as a Language for Thinking; 1.15 Induction; 1.16 An Important Result: The Number of Primes is Infinite; 1.17 Algebra as the Shorthand of Mathematics; 1.18 Notations in Algebra; 1.19 Expressions and Identities in Algebra; 1.20 Operations Involving Negative Numbers; 1.21 Division by Zero; 2 The Concept of a Function (What must you know to learn Calculus?); 2.1 Introduction; 2.2 Equality of Ordered Pairs; 2.3 Relations and Functions; 2.4 Definition; 2.5 Domain, Codomain, Image, and Range of a Function; 2.6 Distinction Between "f " and "f(x)" 327 $a3 Discovery of Real Numbers: Through Traditional Algebra (What must you know to learn Calculus?)3.1 Introduction; 3.2 Prime and Composite Numbers; 3.3 The Set of Rational Numbers; 3.3 The Set of Rational Numbers; 3.4 The Set of Irrational Numbers; 3.5 The Set of Real Numbers; 3.6 Definition of a Real Number; 3.7 Geometrical Picture of Real Numbers; 3.8 Algebraic Properties of Real Numbers; 3.9 Inequalities (Order Properties in Real Numbers); 3.10 Intervals; 3.11 Properties of Absolute Values; 3.12 Neighborhood of a Point; 3.13 Property of Denseness; 3.14 Completeness Property of Real Numbers 327 $a3.15 (Modified) Definition II (l.u.b.)3.16 (Modified) Definition II (g.l.b.); 4 From Geometry to Coordinate Geometry (What must you know to learn Calculus?); 4.1 Introduction; 4.2 Coordinate Geometry (or Analytic Geometry); 4.3 The Distance Formula; 4.4 Section Formula; 4.5 The Angle of Inclination of a Line; 4.6 Solution(s) of an Equation and its Graph; 4.7 Equations of a Line; 4.8 Parallel Lines; 4.9 Relation Between the Slopes of (Nonvertical) Lines that are Perpendicular to One Another; 4.10 Angle Between Two Lines; 4.11 Polar Coordinate System 327 $a5 Trigonometry and Trigonometric Functions (What must you know to learn Calculus?) 330 $a"Through the use of examples and graphs, this book maintains a high level of precision in clarifying prerequisite materials such as algebra, geometry, coordinate geometry, trigonometry, and the concept of limits. The book explores concepts of limits of a function, limits of algebraic functions, applications and limitations for limits, and the algebra of limits. It also discusses methods for computing limits of algebraic functions, and explains the concept of continuity and related concepts in depth. This introductory submersion into differential calculus is an essential guide for engineering and the physical sciences students"--$cProvided by publisher. 606 $aDifferential calculus$vTextbooks 606 $aCàlcul diferencial$2thub 608 $aLlibres electrònics$2thub 615 0$aDifferential calculus 615 7$aCàlcul diferencial 676 $a515/.33 686 $aMAT005000$2bisacsh 701 $aRohde$b Ulrich L$0728646 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910139737003321 996 $aIntroduction to differential calculus$91986801 997 $aUNINA