{"product_id":"fundamentals-of-calculus-isbn-9781119015260","title":"Fundamentals of Calculus","description":"\u003cp\u003e\u003cb\u003eFeatures the techniques, methods, and applications of calculus using real-world examples from business and economics as well as the life and social sciences\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eAn introduction to differential and integral calculus, \u003ci\u003eFundamentals of Calculus\u003c\/i\u003e presents key topics suited for a variety of readers in fields ranging from entrepreneurship and economics to environmental and social sciences.\u003c\/p\u003e \u003cp\u003ePractical examples from a variety of subject areas are featured throughout each chapter and step-by-step explanations for the solutions are presented. Specific techniques are also applied to highlight important information in each section, including symbols interspersed throughout to further reader comprehension.\u003c\/p\u003e \u003cp\u003eIn addition, the book illustrates the elements of finite calculus with the varied formulas for power, quotient, and product rules that correlate markedly with traditional calculus. Featuring calculus as the “mathematics of change,” each chapter concludes with a historical notes section.\u003c\/p\u003e \u003cp\u003e \u003ci\u003eFundamentals of Calculus\u003c\/i\u003e chapter coverage includes:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eLinear Equations and Functions\u003c\/li\u003e \u003cli\u003eThe Derivative\u003c\/li\u003e \u003cli\u003eUsing the Derivative\u003c\/li\u003e \u003cli\u003eExponents and Logarithms\u003c\/li\u003e \u003cli\u003eDifferentiation Techniques\u003c\/li\u003e \u003cli\u003eIntegral Calculus\u003c\/li\u003e \u003cli\u003eIntegrations Techniques\u003c\/li\u003e \u003cli\u003eFunctions of Several Variables\u003c\/li\u003e \u003cli\u003eSeries and Summations\u003c\/li\u003e \u003cli\u003eApplications to Probability\u003c\/li\u003e \u003c\/ul\u003e Supplemented with online instructional support materials,\u003ci\u003e Fundamentals of Calculus\u003c\/i\u003e is an ideal textbook for undergraduate students majoring in business, economics, biology, chemistry, and environmental science.Dieses Fachbuch erläutert die Verfahren, Methoden und Anwendungen der Differential- und Integralrechnung anhand praktischer Beispiele aus der Betriebs- und Wirtschaftswissenschaft, den Bio- und Sozialwissenschaften.\u003cbr\u003e \u003cbr\u003e Fundamentals of Calculus als Einführung in die Differential- und Integralrechnung präsentiert Schlüsselthemen und richtet sich an eine Vielzahl von Lesern, u. a. an Unternehmen, Ökonomen, Ökologen und Sozialwissenschaftler.\u003cbr\u003e \u003cbr\u003e In jedem Kapitel werden praxisrelevante Beispiele aus unterschiedlichsten Themenbereichen vorgestellt, die Lösungen Schritt für Schritt erläutert. Wichtige Informationen werden durch spezielle Verfahren präzisiert, so beispielsweise durch mathematische Symbole, die immer wieder auftauchen und so das Verständnis festigen.\u003cbr\u003e \u003cbr\u003e Darüber hinaus werden finite Elemente zur Lösung von Differential- und Integalrechnungen im Hinblick auf Potenz-, Quotienten- und Multiplikationsregeln erklärt, die auch sonst in der Mathematik Anwendung finden. Informationen zur historischen Entwicklung der Differential- und Integralrechnung runden jedes Kapitel ab.\u003cbr\u003e \u003cp\u003ePreface ix\u003c\/p\u003e \u003cp\u003eAbout the Authors xiii\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Linear Equations and Functions 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Solving Linear Equations 2\u003c\/p\u003e \u003cp\u003e1.2 Linear Equations and their Graphs 7\u003c\/p\u003e \u003cp\u003e1.3 Factoring and the Quadratic Formula 16\u003c\/p\u003e \u003cp\u003e1.4 Functions and their Graphs 25\u003c\/p\u003e \u003cp\u003e1.5 Laws of Exponents 34\u003c\/p\u003e \u003cp\u003e1.6 Slopes and Relative Change 37\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 The Derivative 43\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Slopes of Curves 44\u003c\/p\u003e \u003cp\u003e2.2 Limits 46\u003c\/p\u003e \u003cp\u003e2.3 Derivatives 52\u003c\/p\u003e \u003cp\u003e2.4 Differentiability and Continuity 59\u003c\/p\u003e \u003cp\u003e2.5 Basic Rules of Differentiation 63\u003c\/p\u003e \u003cp\u003e2.6 Continued Differentiation 66\u003c\/p\u003e \u003cp\u003e2.7 Introduction to Finite Differences 70\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Using The Derivative 76\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Describing Graphs 77\u003c\/p\u003e \u003cp\u003e3.2 First and Second Derivatives 83\u003c\/p\u003e \u003cp\u003e3.3 Curve Sketching 92\u003c\/p\u003e \u003cp\u003e3.4 Applications of Maxima and Minima 95\u003c\/p\u003e \u003cp\u003e3.5 Marginal Analysis 103\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Exponential and Logarithmic Functions 109\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Exponential Functions 109\u003c\/p\u003e \u003cp\u003e4.2 Logarithmic Functions 113\u003c\/p\u003e \u003cp\u003e4.3 Derivatives of Exponential Functions 119\u003c\/p\u003e \u003cp\u003e4.4 Derivatives of Natural Logarithms 121\u003c\/p\u003e \u003cp\u003e4.5 Models of Exponential Growth and Decay 123\u003c\/p\u003e \u003cp\u003e4.6 Applications to Finance 129\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Techniques of Differentiation 138\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Product and Quotient Rules 139\u003c\/p\u003e \u003cp\u003e5.2 The Chain Rule and General Power Rule 144\u003c\/p\u003e \u003cp\u003e5.3 Implicit Differentiation and Related Rates 147\u003c\/p\u003e \u003cp\u003e5.4 Finite Differences and Antidifferences 153\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Integral Calculus 166\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Indefinite Integrals 168\u003c\/p\u003e \u003cp\u003e6.2 Riemann Sums 174\u003c\/p\u003e \u003cp\u003e6.3 Integral Calculus – The Fundamental Theorem 178\u003c\/p\u003e \u003cp\u003e6.4 Area Between Intersecting Curves 184\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Techniques of Integration 192\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Integration by Substitution 193\u003c\/p\u003e \u003cp\u003e7.2 Integration by Parts 196\u003c\/p\u003e \u003cp\u003e7.3 Evaluation of Definite Integrals 199\u003c\/p\u003e \u003cp\u003e7.4 Partial Fractions 201\u003c\/p\u003e \u003cp\u003e7.5 Approximating Sums 205\u003c\/p\u003e \u003cp\u003e7.6 Improper Integrals 210\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Functions of Several Variables 214\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Functions of Several Variables 215\u003c\/p\u003e \u003cp\u003e8.2 Partial Derivatives 217\u003c\/p\u003e \u003cp\u003e8.3 Second-Order Partial Derivatives – Maxima and Minima 223\u003c\/p\u003e \u003cp\u003e8.4 Method of Least Squares 228\u003c\/p\u003e \u003cp\u003e8.5 Lagrange Multipliers 231\u003c\/p\u003e \u003cp\u003e8.6 Double Integrals 235\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Series and Summations 240\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Power Series 241\u003c\/p\u003e \u003cp\u003e9.2 Maclaurin and Taylor Polynomials 245\u003c\/p\u003e \u003cp\u003e9.3 Taylor and Maclaurin Series 250\u003c\/p\u003e \u003cp\u003e9.4 Convergence and Divergence of Series 256\u003c\/p\u003e \u003cp\u003e9.5 Arithmetic and Geometric Sums 263\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Applications to Probability 269\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Discrete and Continuous Random Variables 270\u003c\/p\u003e \u003cp\u003e10.2 Mean and Variance; Expected Value 278\u003c\/p\u003e \u003cp\u003e10.3 Normal Probability Density Function 283\u003c\/p\u003e \u003cp\u003eAnswers to Odd Numbered Exercises 295\u003c\/p\u003e \u003cp\u003eIndex 349\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. \u003c\/p\u003e\u003cp\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.   \u003c\/p\u003e\u003cp\u003e\u003cb\u003eFeatures the techniques, methods, and applications of calculus using real-world examples from business and economics as well as the life and social sciences\u003c\/b\u003e \u003c\/p\u003e\u003cp\u003eAn introduction to differential and integral calculus, Fundamentals of Calculus presents key topics suited for a variety of readers in fields ranging from entrepreneurship and economics to environmental and social sciences. \u003c\/p\u003e\u003cp\u003ePractical examples from a variety of subject areas are featured throughout each chapter, and step-by-step explanations for the solutions are presented. Specific techniques are also applied to highlight important information in each section, including symbols interspersed throughout to further reader comprehension. \u003c\/p\u003e\u003cp\u003eIn addition, the book illustrates the elements of finite calculus with the varied formulas for power, quotient, and product rules that correlate markedly with traditional calculus. Featuring calculus as the \"mathematics of change,\" each chapter concludes with a historical notes section. \u003c\/p\u003e\u003cp\u003e\u003ci\u003eFundamentals of Calculus\u003c\/i\u003e chapter coverage includes: \u003c\/p\u003e\u003cul\u003e \u003cli\u003eLinear Equations and Functions\u003c\/li\u003e \u003cli\u003eThe Derivative\u003c\/li\u003e \u003cli\u003eUsing the Derivative\u003c\/li\u003e \u003cli\u003eExponents and Logarithms\u003c\/li\u003e \u003cli\u003eDifferentiation Techniques\u003c\/li\u003e \u003cli\u003eIntegral Calculus\u003c\/li\u003e \u003cli\u003eIntegration Techniques\u003c\/li\u003e \u003cli\u003eFunctions of Several Variables\u003c\/li\u003e \u003cli\u003eSeries and Summations\u003c\/li\u003e \u003cli\u003eApplications to Probability\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eSupplemented with online instructional support materials, \u003ci\u003eFundamentals of Calculus\u003c\/i\u003e is an ideal textbook for undergraduate students majoring in business, economics, biology, chemistry, and environmental science.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47989256913125,"sku":"NP9781119015260","price":114.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781119015260.jpg?v=1761783404","url":"https:\/\/k12savings.com\/products\/fundamentals-of-calculus-isbn-9781119015260","provider":"K12savings","version":"1.0","type":"link"}