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* Ihre Aktion  Suchen Introduction to integral calculus
Online Ressourcen (ohne Zeitschr.)
PPN: 
721126782 Über den Zitierlink können Sie diesen Titel als Lesezeichen ablegen oder weiterleiten
Titel: 
Sonst. Personen: 
Sprache/n: 
Englisch
Veröffentlichungsangabe: 
Hoboken, N.J : Wiley, c2012
Umfang: 
Online-Ressource (xxv, 402 p.) : ill
Anmerkung: 
Includes bibliographical references and index
Bibliogr. Zusammenhang: 
Print version: Introduction to Integral Calculus. - Systematic Studies with Engineering Applications for Beginners
ISBN: 
978-1-118-11776-7
1-283-40084-7*ebk
978-1-283-40084-8*MyiLibrary
978-1-118-13031-5 : 115 (NL)
1-11-813034-0, 978-1-118-13034-6
1-11-813031-6, 978-1-118-13031-5
1-11-813033-2, 978-1-118-13033-9*electronic bk.
Weitere Ausgaben: 1-11-811776-X, 978-1-118-11776-7 (Printausgabe)*cloth, 1-283-40323-4 (Printausgabe)
Identifier: 
DOI: 10.1002/9781118130346
Inhaltsverzeichnis: 
Introduction to Integral Calculus: Systematic Studies with Engineering Applications for Beginners; CONTENTS; FOREWORD; PREFACE; BIOGRAPHIES; INTRODUCTION; ACKNOWLEDGMENT; 1 Antiderivative(s) [or Indefinite Integral(s)]; 1.1 Introduction; 1.2 Useful Symbols, Terms, and Phrases Frequently Needed; 1.3 Table(s) of Derivatives and their corresponding Integrals; 1.4 Integration of Certain Combinations of Functions; 1.5 Comparison Between the Operations of Differentiation and Integration; 2 Integration Using Trigonometric Identities; 2.1 Introduction
2.2 Some Important Integrals Involving sin x and cos x2.3 Integrals of the Form ∫(dx/(asin x + b cosx)), where a, r; 3a Integration by Substitution: Change of Variable of Integration; 3a.1 Introduction; 3a.2 Generalized Power Rule; 3a.3 Theorem; 3a.4 To Evaluate Integrals of the Form ∫ a sin x + b cos x/c sin x + d cos x dx; where a, b, c, and d are constant; 3b Further Integration by Substitution: Additional Standard Integrals; 3b.1 Introduction; 3b.2 Special Cases of Integrals and Proof for Standard Integrals; 3b.3 Some New Integrals; 3b.4 Four More Standard Integrals
4a Integration by Parts4a.1 Introduction; 4a.2 Obtaining the Rule for Integration by Parts; 4a.3 Helpful Pictures Connecting Inverse Trigonometric Functions with Ordinary Trigonometric Functions; 4a.4 Rule for Proper Choice of First Function; 4b Further Integration by Parts: Where the Given Integral Reappears on Right-Hand Side; 4b.1 Introduction; 4b.2 An Important Result: A Corollary to Integration by Parts; 4b.3 Application of the Corollary to Integration by Parts to Integrals that cannot be Solved Otherwise; 4b.4 Simpler Method(s) for Evaluating Standard Integrals
4b.5 To Evaluate ∫√ax2 + bx + cdx5 Preparation for the Definite Integral: The Concept of Area; 5.1 Introduction; 5.2 Preparation for the Definite Integral; 5.3 The Definite Integral as an Area; 5.4 Definition of Area in Terms of the Definite Integral; 5.5 Riemann Sums and the Analytical Definition of the Definite Integral; 6a The Fundamental Theorems of Calculus; 6a.1 Introduction; 6a.2 Definite Integrals; 6a.3 The Area of Function A(x); 6a.4 Statement and Proof of the Second Fundamental Theorem of Calculus; 6a.5 Differentiating a Definite Integral with Respect to a Variable Upper Limit
6b The Integral Function ∫x1 1/ t dt, (x > 0) Identified as ln x or logex6b.1 Introduction; 6b.2 Definition of Natural Logarithmic Function; 6b.3 The Calculus of ln x; 6b.4 The Graph of the Natural Logarithmic Function ln x; 6b.5 The Natural Exponential Function [exp(x) or ex]; 7a Methods for Evaluating Definite Integrals; 7a.1 Introduction; 7a.2 The Rule for Evaluating Definite Integrals; 7a.3 Some Rules (Theorems) for Evaluation of Definite Integrals; 7a.4 Method of Integration by Parts in Definite Integrals; 7b Some Important Properties of Definite Integrals; 7b.1 Introduction
7b.2 Some Important Properties of Definite Integrals
Schlagwörter: 
Mehr zum Thema: 
Klassifikation der Library of Congress: QA308
Dewey Dezimal-Klassifikation: [23] 515/.43
Regensburger Verbund-Klassifikation:
Subject Headings List der Book Industry Standards and Communications: MAT 034000
Subject Headings List der Book Industry Standards and Communications: MAT 005000
Mathematics Subject Classification: *00A06
Mathematics Subject Classification: 26-01
Mathematics Subject Classification: 26A36
Mathematics Subject Classification: 97I50
Inhalt: 
"An accessible introduction to the fundamentals of calculus needed to solve current problems in engineering and the physical sciences. Integration is an important function of calculus, and Introduction to Integral Calculus combines fundamental concepts with scientific problems to develop intuition and skills for solving mathematical problems related to engineering and the physical sciences. The authors provide a solid introduction to integral calculus and feature applications of integration, solutions of differential equations, and evaluation methods. With logical organization coupled with clear, simple explanations, the authors reinforce new concepts to progressively build skills and knowledge, and numerous real-world examples as well as intriguing applications help readers to better understand the connections between the theory of calculus and practical problem solving. The first six chapters address the prerequisites needed to understand the principles of integral calculus and explore such topics as anti-derivatives, methods of converting integrals into standard form, and the concept of area. Next, the authors review numerous methods and applications of integral calculus, including: Mastering and applying the first and second fundamental theorems of calculus to compute definite integrals ; Defining the natural logarithmic function using calculus ; Evaluating definite integrals ; Calculating plane areas bounded by curves ; Applying basic concepts of differential equations to solve ordinary differential equations. With this book as their guide, readers quickly learn to solve a broad range of current problems throughout the physical sciences and engineering that can only be solved with calculus. Examples throughout provide practical guidance, and practice problems and exercises allow for further development and fine-tuning of various calculus skills. 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"--Provided by publisher
An accessible introduction to the fundamentals of calculus needed to solve current problems in engineering and the physical sciences I ntegration is an important function of calculus, and Introduction to Integral Calculus combines fundamental concepts with scientific problems to develop intuition and skills for solving mathematical problems related to engineering and the physical sciences. The authors provide a solid introduction to integral calculus and feature applications of integration, solutions of differential equations, and evaluation methods. With logical organization coupled with cle
 
 
Sekundärausgabe: 
[Online-Ausg.]
Veröffentlichungsangabe: 
2012
Anmerkung: 
Electronic reproduction; Available via World Wide Web
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Anmerkung: 
Vervielfältigungen (z.B. Kopien, Downloads) sind nur von einzelnen Kapiteln oder Seiten und nur zum eigenen wissenschaftlichen Gebrauch erlaubt. Die Weitergabe an Dritte sowie systematisches Downloaden sind untersagt.
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