{"product_id":"finite-mathematics-isbn-9781119015505","title":"Finite Mathematics","description":"\u003cp\u003e\u003cb\u003eFeatures step-by-step examples based on actual data and connects fundamental mathematical modeling skills and decision making concepts to everyday applicability\u003cbr\u003e \u003cbr\u003e \u003c\/b\u003eFeaturing key linear programming, matrix, and probability concepts, \u003ci\u003eFinite Mathematics: Models and Applications\u003c\/i\u003e emphasizes cross-disciplinary applications that relate mathematics to everyday life. The book provides a unique combination of practical mathematical applications to illustrate the wide use of mathematics in fields ranging from business, economics, finance, management, operations research, and the life and social sciences.\u003cbr\u003e \u003cbr\u003e In order to emphasize the main concepts of each chapter, \u003ci\u003eFinite Mathematics: Models and Applications\u003c\/i\u003e features plentiful pedagogical elements throughout such as special exercises, end notes, hints, select solutions, biographies of key mathematicians, boxed key principles, a glossary of important terms and topics, and an overview of use of technology. The book encourages the modeling of linear programs and their solutions and uses common computer software programs such as LINDO. In addition to extensive chapters on probability and statistics, principles and applications of matrices are included as well as topics for enrichment such as the Monte Carlo method, game theory, kinship matrices, and dynamic programming.\u003cbr\u003e \u003cbr\u003e Supplemented with online instructional support materials, the book features coverage including:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eAlgebra Skills\u003c\/li\u003e \u003cli\u003eMathematics of Finance\u003c\/li\u003e \u003cli\u003eMatrix Algebra\u003c\/li\u003e \u003cli\u003eGeometric Solutions\u003c\/li\u003e \u003cli\u003eSimplex Methods\u003c\/li\u003e \u003cli\u003eApplication Models\u003c\/li\u003e \u003cli\u003eSet and Probability Relationships\u003c\/li\u003e \u003cli\u003eRandom Variables and Probability Distributions\u003c\/li\u003e \u003cli\u003eMarkov Chains\u003c\/li\u003e \u003cli\u003eMathematical Statistics\u003c\/li\u003e \u003cli\u003eEnrichment in Finite Mathematics\u003c\/li\u003e \u003c\/ul\u003e An ideal textbook, \u003ci\u003eFinite Mathematics: Models and Applications\u003c\/i\u003e is intended for students in fields from entrepreneurial and economic to environmental and social science, including many in the arts and humanities. \u003cp\u003ePreface ix\u003c\/p\u003e \u003cp\u003eAbout the Authors xi\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Linear Equations and Mathematical Concepts 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Solving Linear Equations 2\u003c\/p\u003e \u003cp\u003e1.2 Equations of Lines and Their Graphs 7\u003c\/p\u003e \u003cp\u003e1.3 Solving Systems of Linear Equations 15\u003c\/p\u003e \u003cp\u003e1.4 The Numbers \u003ci\u003e𝜋 \u003c\/i\u003eand \u003ci\u003ee\u003c\/i\u003e 21\u003c\/p\u003e \u003cp\u003e1.5 Exponential and Logarithmic Functions 24\u003c\/p\u003e \u003cp\u003e1.6 Variation 32\u003c\/p\u003e \u003cp\u003e1.7 Unit Conversions and Dimensional Analysis 38\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Mathematics of Finance 47\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Simple and Compound Interest 47\u003c\/p\u003e \u003cp\u003e2.2 Ordinary Annuity 55\u003c\/p\u003e \u003cp\u003e2.3 Amortization 59\u003c\/p\u003e \u003cp\u003e2.4 Arithmetic and Geometric Sequences 63\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Matrix Algebra 71\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Matrices 72\u003c\/p\u003e \u003cp\u003e3.2 Matrix Notation, Arithmetic, and Augmented Matrices 78\u003c\/p\u003e \u003cp\u003e3.3 Gauss–Jordan Elimination 89\u003c\/p\u003e \u003cp\u003e3.4 Matrix Inversion and Input–Output Analysis 100\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Linear Programming – Geometric Solutions 116\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eIntroduction 116\u003c\/p\u003e \u003cp\u003e4.1 Graphing Linear Inequalities 117\u003c\/p\u003e \u003cp\u003e4.2 Graphing Systems of Linear Inequalities 121\u003c\/p\u003e \u003cp\u003e4.3 Geometric Solutions to Linear Programs 125\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Linear Programming – Simplex Method 136\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 The Standard Maximization Problem (SMP) 137\u003c\/p\u003e \u003cp\u003e5.2 Tableaus and Pivot Operations 142\u003c\/p\u003e \u003cp\u003e5.3 Optimal Solutions and the Simplex Method 149\u003c\/p\u003e \u003cp\u003e5.4 Dual Programs 161\u003c\/p\u003e \u003cp\u003e5.5 Non-SMP Linear Programs 167\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Linear Programming – Application Models 182\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Set and Probability Relationships 203\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Sets 204\u003c\/p\u003e \u003cp\u003e7.2 Venn Diagrams 210\u003c\/p\u003e \u003cp\u003e7.3 Tree Diagrams 216\u003c\/p\u003e \u003cp\u003e7.4 Combinatorics 221\u003c\/p\u003e \u003cp\u003e7.5 Mathematical Probability 231\u003c\/p\u003e \u003cp\u003e7.6 Bayes’ Rule and Decision Trees 245\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Random Variables and Probability Distributions 259\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Random Variables 259\u003c\/p\u003e \u003cp\u003e8.2 Bernoulli Trials and the Binomial Distribution 265\u003c\/p\u003e \u003cp\u003e8.3 The Hypergeometric Distribution 273\u003c\/p\u003e \u003cp\u003e8.4 The Poisson Distribution 279\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Markov Chains 285\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Transition Matrices and Diagrams 286\u003c\/p\u003e \u003cp\u003e9.2 Transitions 291\u003c\/p\u003e \u003cp\u003e9.3 Regular Markov Chains 295\u003c\/p\u003e \u003cp\u003e9.4 Absorbing Markov Chains 304\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Mathematical Statistics 314\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Graphical Descriptions of Data 315\u003c\/p\u003e \u003cp\u003e10.2 Measures of Central Tendency and Dispersion 323\u003c\/p\u003e \u003cp\u003e10.3 The Uniform Distribution 331\u003c\/p\u003e \u003cp\u003e10.4 The Normal Distribution 334\u003c\/p\u003e \u003cp\u003e10.5 Normal Distribution Applications 348\u003c\/p\u003e \u003cp\u003e10.6 Developing and Conducting a Survey 363\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Enrichment in Finite Mathematics 371\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Game Theory 372\u003c\/p\u003e \u003cp\u003e11.2 Applications in Finance and Economics 385\u003c\/p\u003e \u003cp\u003e11.3 Applications in Social and Life Sciences 394\u003c\/p\u003e \u003cp\u003e11.4 Monte Carlo Method 403\u003c\/p\u003e \u003cp\u003e11.5 Dynamic Programming 422\u003c\/p\u003e \u003cp\u003eAnswers to Odd Numbered Exercises 439\u003c\/p\u003e \u003cp\u003eUsing Technology 502\u003c\/p\u003e \u003cp\u003eGlossary 506\u003c\/p\u003e \u003cp\u003eIndex 513\u003c\/p\u003e \u003cp\u003e\"I would recommend this book to undergraduate students in mathematics, economics, engineering who are interested in fi nite mathematics.\" (\u003ci\u003eZentralblatt MATH\u003c\/i\u003e, 2016)\u003c\/p\u003e \u003cp\u003e\u003cb\u003eCarla C. Morris, PhD,\u003c\/b\u003e is Assistant Professor of Mathematics in the Associate in Arts Program at the University of Delaware. A member of The Institute for Operations Research and the Management Sciences and the Mathematical Association of America, Dr. Morris teaches courses ranging from college algebra to calculus and statistics.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eRobert M. Stark, PhD,\u003c\/b\u003e is Professor Emeritus in the Departments of Mathematical Sciences and Civil and Environmental Engineering at the University of Delaware. Dr. Stark's teaching and research interests include applied probability, mathematical optimization, operations research, and mathematics education.\u003cb\u003e\u003ci\u003e\u003cbr\u003e\u003c\/i\u003e\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003eFeatures step-by-step examples based on actual data and connects fundamental mathematical modeling skills and decision making concepts to everyday applicability\u003c\/b\u003e\u003cb\u003e\u003cbr\u003e\u003cbr\u003e\u003c\/b\u003eFeaturing key linear programming, matrix, and probability concepts, \u003ci\u003eFinite Mathematics: Models and Applications\u003c\/i\u003e emphasizes cross-disciplinary applications that relate mathematics to everyday life. The book provides a unique combination of practical mathematical applications to illustrate the wide use of mathematics in fields ranging from business, economics, finance, management, operations research, and the life and social sciences. \u003cbr\u003e\u003cbr\u003eIn order to emphasize the main concepts of each chapter, \u003ci\u003eFinite Mathematics: Models and Applications\u003c\/i\u003e features plentiful pedagogical elements throughout such as special exercises, end notes, hints, select solutions, biographies of key mathematicians, boxed key principles, a glossary of important terms and topics, and an overview of use of technology. The book encourages the modeling of linear programs and their solutions and uses common computer software programs such as LINDO. In addition to extensive chapters on probability and statistics, principles and applications of matrices are included as well as topics for enrichment such as the Monte Carlo method, game theory, kinship matrices, and dynamic programming.\u003cbr\u003e\u003cbr\u003eSupplemented with online instructional support materials, the book features coverage including:\u003cbr\u003e\u003cbr\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003eAlgebra Skills\u003c\/li\u003e \u003cli\u003eMathematics of Finance\u003c\/li\u003e \u003cli\u003eMatrix Algebra\u003c\/li\u003e \u003cli\u003eGeometric Solutions\u003c\/li\u003e \u003cli\u003eSimplex Methods\u003c\/li\u003e \u003cli\u003eApplication Models\u003c\/li\u003e \u003cli\u003eSet and Probability Relationships\u003c\/li\u003e \u003cli\u003eRandom Variables and Probability Distributions\u003c\/li\u003e \u003cli\u003eMarkov Chains\u003c\/li\u003e \u003cli\u003eMathematical Statistics\u003c\/li\u003e \u003cli\u003eEnrichment in Finite Mathematics\u003c\/li\u003e \u003c\/ul\u003e \u003cbr\u003eAn ideal textbook,\u003ci\u003e Finite Mathematics: Models and Applications \u003c\/i\u003eis intended for students in fields from entrepreneurial and economic to environmental and social science, including many in the arts and humanities.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eCarla C. Morris, PhD,\u003c\/b\u003e is Assistant Professor of Mathematics in the Associate in Arts Program at the University of Delaware. A member of The Institute for Operations Research and the Management Sciences and the Mathematical Association of America, Dr. Morris teaches courses ranging from college algebra to calculus and statistics.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eRobert M. Stark, PhD,\u003c\/b\u003e is Professor Emeritus in the Departments of Mathematical Sciences and Civil and Environmental Engineering at the University of Delaware. Dr. Stark's teaching and research interests include applied probability, mathematical optimization, operations research, and mathematics education.","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47989215133925,"sku":"NP9781119015505","price":123.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781119015505.jpg?v=1761783238","url":"https:\/\/k12savings.com\/products\/finite-mathematics-isbn-9781119015505","provider":"K12savings","version":"1.0","type":"link"}