Calculus: single variable, student study and solutions companion

In order to show scientists and engineers how to apply calculus, this editionplaces a greater emphasis on conceptual understanding. It provides a nice balance between rigor and accessibility that will challenge them. Unique elementsare integrated throughout that deepen the appreciation for calculus. Numerousnonstandard challenging exercises build better math skills. Innovative approaches on topics such as limits also help uncover new areas of learning for scientists and engineers. INDICE: 1 Basics 11.1 Number Systems 11.2 Planar Coordinates and Graphingin the Pl ne 41.3 Lines and Their Slopes 101.4 Functions and Their Graphs 161.5 Combining Functions 211.6 Trigonometry 262 Limits 352.1 The Concept of Limit 352.2 Limit Theorems 412.3 Continuity 462.4 In nite Limits and Asymptotes 522.5 Limits of Sequences 572.6 Exponential Functions and Logarithms 603 The Derivative 683.1 Rates of Change and Tangent Lines 683.2 The Derivative 743.3 Rules for Dierentiation 803.4 Dierentiation of Some Basic Functions 883.5 The Chain Rule 933.6 Derivatives of Inverse Functions 993.7 Higher Derivatives 1043.8 Implicit Dierentiation 1093.9 Dierentials and Approximation of Functions 1173.10 Other Transcendental Functions 1224 Applications of theDerivative 1304.1 Related Rates 1304.2 The Mean Value Theorem 1334.3 Maxima and Minima of Functions 1394.4 Applied Maximum-Minimum Problems 1454.5 Concavity 1514.6 Graphing Functions 1564.7 L'H^opital's Rule 1624.8 The Newton-Raphson Method 1684.9 Antidierentiation and Applications 1725 The Integral 1825.1 Introduction to Integration

• ISBN: 978-0-470-45815-0
• Editorial: John Wiley & Sons
• Encuadernacion: Rústica
• Páginas: 432
• Fecha Publicación: 27/03/2012
• Nº Volúmenes: 1
• Idioma: Inglés