Student’s Guide to Calculus by J. Marsden and A. Weinstein: Volume I
Autor Frederick H. Soonen Limba Engleză Paperback – 15 aug 1985
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Specificații
ISBN-13: 9780387962078
ISBN-10: 0387962077
Pagini: 312
Ilustrații: XIV, 312 p.
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.45 kg
Ediția:1985
Editura: Springer
Colecția Springer
Locul publicării:New York, NY, United States
ISBN-10: 0387962077
Pagini: 312
Ilustrații: XIV, 312 p.
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.45 kg
Ediția:1985
Editura: Springer
Colecția Springer
Locul publicării:New York, NY, United States
Public țintă
Lower undergraduateCuprins
R -- Review of Fundamentals.- R.1 Basic Algebra: Real Numbers and Inequalities.- R.2 Intervals and Absolute Values.- R.3 Laws of Exponents.- R.4 Straight Lines.- R.5 Circles and Parabolas.- R.6 Functions and Graphs.- R.R Review Exercises for Chapter R.- 1 -- Derivatives and Limits.- 1.1 Introduction to the Derivative.- 1.2 Limits.- 1.3 The Derivative as a Limit and the Leibniz Notation.- 1.4 Differentiating Polynomials.- 1.5 Products and Quotients.- 1.6 The Linear Approximation and Tangent Lines.- 1.R Review Exercises for Chapter 1.- 2 -- Rates of Change and the Chain Rule.- 2.1 Rates of Change and the Second Derivative.- 2.2 The Chain Rule.- 2.3 Fractional Powers and Implicit Differentiation.- 2.4 Related Rates and Parametric Curves.- 2.5 Antiderivatives.- 2.R Review Exercises for Chapter 2.- 3 -- Graphing and Maximum-Minimum Problems.- 3.1 Continuity and the Intermediate Value Theorem.- 3.2 Increasing and Decreasing Functions.- 3.3 The Second Derivative and Concavity.- 3.4 Drawing Graphs.- 3.5 Maximum-Minimum Problems.- 3.6 The Mean Value Theorem.- 3.R Review Exercises for Chapter 3.- Comprehensive Test for Chapters 1 – 3.- 4 -- The Integral.- 4.1 Summation.- 4.2 Sums and Areas.- 4.3 The Definition of the Integral.- 4.4 The Fundamental Theorem of Calculus.- 4.5 Definite and Indefinite Integrals.- 4.6 Applications of the Integral.- 4.R Review Exercises for Chapter 4.- 5 -- Trigonometric Functions.- 5.1 Polar Coordinates and Trigonometry.- 5.2 Differentiation of the Trigonometric Functions.- 5.3 Inverse Functions.- 5.4 The Inverse Trigonometric Functions.- 5.5 Graphing and Word Problems.- 5.6 Graphing in Polar Coordinates.- 5.S Supplement to Chapter 5: Length of Days.- 5.R Review Exercises for Chapter 5.- 6 -- Exponentials and Logarithms.- 6.1 Exponential Functions.-6.2 Logarithms.- 6.3 Differentiation of the Exponential and Logarithmic Functions.- 6.4 Graphing and Word Problems.- 6.R Review Exercises for Chapter 6.- Comprehensive Test for Chapters 1 – 6.