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Produktbild: Introduction to Integral Calculus

Introduction to Integral Calculus Systematic Studies with Engineering Applications for Beginners

158,99 €

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Beschreibung

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

03.01.2012

Verlag

John Wiley & Sons

Seitenzahl

428

Maße (L/B/H)

24/16,1/2,8 cm

Gewicht

809 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-1-118-11776-7

Beschreibung

Rezension

"Introduction to Integral Calculus is an excellent book for upper-undergraduate calculus courses and is also an ideal reference for students and professionals who would like to gain a further understanding of the use of calculus to solve problems in a simplified manner." ( Zentralblatt MATH , 2012)

"Long on examples but often short of exercises, this work might best be used as a reference source. Summing Up: Recommended. Lower-and upper-division undergraduates." ( Choice , 1 September 2012)

Produktdetails

Einband

Gebundene Ausgabe

Erscheinungsdatum

03.01.2012

Verlag

John Wiley & Sons

Seitenzahl

428

Maße (L/B/H)

24/16,1/2,8 cm

Gewicht

809 g

Auflage

1. Auflage

Sprache

Englisch

ISBN

978-1-118-11776-7

Herstelleradresse

Libri GmbH
Europaallee 1
36244 Bad Hersfeld
DE

Email: gpsr@libri.de

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  • Produktbild: Introduction to Integral Calculus
  • FOREWORD ix
     
    PREFACE xiii
     
    BIOGRAPHIES xxi
     
    INTRODUCTION xxiii
     
    ACKNOWLEDGMENT xxv
     
    1 Antiderivative(s) [or Indefinite Integral(s)] 1
     
    1.1 Introduction 1
     
    1.2 Useful Symbols, Terms, and Phrases Frequently Needed 6
     
    1.3 Table(s) of Derivatives and their corresponding Integrals 7
     
    1.4 Integration of Certain Combinations of Functions 10
     
    1.5 Comparison Between the Operations of Differentiation and Integration 15
     
    2 Integration Using Trigonometric Identities 17
     
    2.1 Introduction 17
     
    2.2 Some Important Integrals Involving sin x and cos x 34
     
    2.3 Integrals of the Form ? (d/( a sin + b cos x)), where a, b
     
    epsilon r 37
     
    3a Integration by Substitution: Change of Variable of Integration 43
     
    3b Further Integration by Substitution: Additional Standard Integrals 67
     
    4a Integration by Parts 97
     
    4b Further Integration by Parts: Where the Given Integral Reappears on Right-Hand Side 117
     
    5 Preparation for the Definite Integral: The Concept of Area 139
     
    5.1 Introduction 139
     
    5.2 Preparation for the Definite Integral 140
     
    5.3 The Definite Integral as an Area 143
     
    5.4 Definition of Area in Terms of the Definite Integral 151
     
    5.5 Riemann Sums and the Analytical Definition of the Definite Integral 151
     
    6a The Fundamental Theorems of Calculus 165
     
    6b The Integral Function ? x 1 1 t dt, (x > 0) Identified as ln x or loge x 183
     
    7a Methods for Evaluating Definite Integrals 197
     
    7b Some Important Properties of Definite Integrals 213
     
    8a Applying the Definite Integral to Compute the Area of a Plane Figure 249
     
    8b To Find Length(s) of Arc(s) of Curve(s), the Volume(s) of Solid(s) of Revolution, and the Area(s) of Surface(s) of Solid(s) of Revolution 295
     
    9a Differential Equations: Related Concepts and Terminology 321
     
    9a.4 Definition: Integral Curve 332
     
    9b Methods of Solving Ordinary Differential Equations of the First Order and of the First Degree 361
     
    INDEX 399