LEADER 01261nam a2200337 i 4500 001 991001258979707536 005 20020507190138.0 008 010228s|||| us ||| | eng 020 $a0821820508 035 $ab10822628-39ule_inst 035 $aLE01309472$9ExL 040 $aDip.to Matematica$beng 082 0 $a515.076 084 $aAMS 00A07 084 $aAMS 40-01 084 $aQA300K32513 100 1 $aKaczor, Wieslawa J.$0146978 245 10$aProblems in mathematical analysis I :$breal numbers, sequences and series /$cW. J. Kaczor, M. T. Nowak 260 $aProvidence, RI :$bAmerican Mathematical Society,$cc2000 300 $axiv, 380 p. ;$c22 cm. 490 0 $aStudent mathematical library,$x1520-9121 ;$v4 500 $aOrig. publ. in Polish, as Zadania z analizy matematycznej 500 $aIncludes bibliographical references 650 4$aMathematical analysis 700 1 $aNowak, Maria T. 907 $a.b10822628$b23-02-17$c28-06-02 912 $a991001258979707536 945 $aLE013 00A KAC21 (2000)$g1$i2013000125664$lle013$o-$pE0.00$q-$rl$s- $t0$u15$v0$w15$x0$y.i10929897$z28-06-02 996 $aProblems in mathematical analysis I$9879368 997 $aUNISALENTO 998 $ale013$b01-01-01$cm$da $e-$feng$gus $h0$i1 LEADER 04323nam 2200745 450 001 9910787948303321 005 20231110220420.0 010 $a1-118-55217-2 010 $a1-118-55215-6 035 $a(CKB)2670000000570312 035 $a(EBL)1809733 035 $a(OCoLC)879553081 035 $a(SSID)ssj0001347450 035 $a(PQKBManifestationID)12499611 035 $a(PQKBTitleCode)TC0001347450 035 $a(PQKBWorkID)11350289 035 $a(PQKB)11393720 035 $a(MiAaPQ)EBC1809733 035 $a(DLC) 2014018463 035 $a(MiAaPQ)EBC4036264 035 $a(Au-PeEL)EBL1809733 035 $a(CaPaEBR)ebr10945446 035 $a(Au-PeEL)EBL4036264 035 $a(CaPaEBR)ebr11110951 035 $a(CaONFJC)MIL649397 035 $a(MiAaPQ)EBC7103801 035 $a(Au-PeEL)EBL7103801 035 $a(JP-MeL)3000110849 035 $a(EXLCZ)992670000000570312 100 $a20141010h20152015 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aExplorations of mathematical models in biology with Maple /$fMazen Shahin 205 $a1st ed. 210 1$aHoboken, New Jersey :$cWiley,$d2015. 210 4$d2015 215 $a1 online resource (307 p.) 225 1 $aNew York Academy of Sciences 300 $a"With website"--Cover 300 $aIncludes bibliographical references (p. 286-287) and index 311 $a1-118-03211-X 311 $a1-322-18133-0 320 $aIncludes bibliographical references and index. 327 $aMachine generated contents note: Preface Chapter 1. Overview of Discrete Dynamical Modeling and Maple 1.1 Introduction to Modeling and Difference Equations 1.2 The Modeling Process 1.3 Getting Started with Maple Chapter 2. Modeling with First-order Difference Equations 2.1 Modeling with First-order Linear Homogenous Difference Equations with Constant Coefficients 2.2 Modeling with Non-homogenous First-order Linear Difference Equations 2.3 Modeling with Nonlinear Difference Equations: Logistic Growth Models 2.4 Logistic Equations and Chaos Chapter 3. Modeling with Matrices 3.1 Systems of Linear Equations Having Unique Solutions 3.2 The Gauss-Jordan Elimination Method with Models 3.3 Introduction to Matrices and Matrix Operations 3.4 Determinants and Systems of Linear Equations 3.5 Eigenvectors and Eigenvalues 3.6 Eigenvalues and Stability of Linear Systems Chapter 4. Modeling with Systems of Linear Difference Equations 4.1 Modeling with Markov Chains 4.2 Age-structured Population Models 4.3 Modeling with Second-order Linear Difference Equations Chapter 5. Modeling with Nonlinear Systems of Difference Equations 5.1 Modeling of Interacting Species 5.2 The SIR Models of Infectious Disease 5.3 Modeling with Second-order Nonlinear Difference Equations Index . 330 $a"With an emphasis on Maple applications to showcase graphical and numerical techniques, this book investigates and analyzes the behavior of solutions of mathematical models and also features interesting linear and nonlinear models from diverse disciplines, such as biology, ecology, and environment. It utilizes difference equations, matrix algebra, and Markov chains as the main mathematical tools. It is an ideal book for students of mathematical biology, theoretical ecology, bioeconomics, forensic science, applied mathematics, and environmental science"--$cProvided by publisher. 330 $a"This book focuses on mathematical models in biology and utilizes difference equations, matrix algebra, and Markov chains as the main mathematical tools. In addition, Maple, a computer algebra system, as well as cooperative learning initiatives are integrated"--$cProvided by publisher. 410 0$aNew York Academy of Sciences 606 $aBiology$xMathematical models 606 $aBiology$xData processing 615 0$aBiology$xMathematical models. 615 0$aBiology$xData processing. 676 $a570.1/51 686 $a461.9$2njb/09 686 $a570.1/51$2njb/09 700 $aShahin$b Mazen$f1947-$01259760 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910787948303321 996 $aExplorations of mathematical models in biology with Maple$93779982 997 $aUNINA