Introduction to Integral Calculus: Systematic Studies with Engineering Applications for Beginners

Description

An accessible introduction to the fundamentals of calculusneeded to solve current problems in engineering and the physicalsciences I ntegration is an important function of calculus, andIntroduction to Integral Calculus combines fundamental conceptswith scientific problems to develop intuition and skills forsolving mathematical problems related to engineering and thephysical sciences. The authors provide a solid introduction tointegral calculus and feature applications of integration,solutions of differential equations, and evaluation methods. Withlogical organization coupled with clear, simple explanations, theauthors reinforce new concepts to progressively build skills andknowledge, and numerous real-world examples as well as intriguingapplications help readers to better understand the connectionsbetween the theory of calculus and practical problem solving. The first six chapters address the prerequisites needed tounderstand the principles of integral calculus and explore suchtopics as anti-derivatives, methods of converting integrals intostandard form, and the concept of area. Next, the authors reviewnumerous methods and applications of integral calculus,including: Mastering and applying the first and second fundamental theoremsof 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 solveordinary differential equations With this book as their guide, readers quickly learn to solve abroad range of current problems throughout the physical sciencesand engineering that can only be solved with calculus. Examplesthroughout provide practical guidance, and practice problems andexercises allow for further development and fine-tuning of variouscalculus skills. Introduction to Integral Calculus is an excellentbook for upper-undergraduate calculus courses and is also an idealreference for students and professionals who would like to gain afurther understanding of the use of calculus to solve problems in asimplified manner.

Get the book

Amazon.com

Search the book

eBay.com

Search the book

Similar books

• 

  Integral Geometry and Tomography: Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference, Held June 24-30, 1989, with Support from the...

  By Eric Grinberg, Eric Todd Quinto

  In Section 2 we will deal with the “discrete” case. Let S be a locally finite tree T endowed with the natural integer-valued distance function: the ...

• 

  Ordinary Differential Equations and Linear Algebra: A Systems Approach

  By Todd Kapitula

  ... for in this case [yp](s)=s[yp](s), [yp](s)=s2[yp](s). As we will see in the examples, this assumption also makes it possible to deal with the initial ...

• 

  Cognition and Intractability: A Guide to Classical and Parameterized Complexity Analysis

  By Iris van Rooij, Mark Blokpoel, Johan Kwisthout

  x,y∈S δ(x,y) is maximum. u(x) + ADDITIVE SUBSET CHOICE Input: A set X = {x1 ,x2 ... F Tractability cycle Test 8.2 How (Not) to Deal with Intractability 173.

• 

  Mymathlab -- Standalone Access Card

  By Pearson Education, David P Pearson Education, Hall H Pearson Education

  Several versions of Pearson's MyLab & Mastering products exist for each title, including customized versions for individual schools, and registrations are not transferable.

• 

  Mymathlab Student Acc Kit + Intro Alg Wrkshts

  By Inc. Pearson Education

  Mymathlab Student Acc Kit + Intro Alg Wrkshts

• 

  Pearson Mathematics 7: H.P

  By Pearson Education Australia Staff

  Pearson Mathematics homework program for Year 7 provides tear-out sheets which correspond with student book sections, providing systematic and cumulative skills revision of basic skills and current class topics in the form of take-home ...

• 

  Worksheets for Classroom Or Lab Practice for Intermediate Algebra: Graphs & Models

  By Addison-Wesley

  Worksheets for Classroom Or Lab Practice for Intermediate Algebra: Graphs & Models

• 

  Pearson Mathematics New South Wales 8 Student Book: Australian Curriculum

  By Pearson Education Australia Staff, Gael McLeod, David Coffey

  The Student Book provides an easy-to-use 'nuts and bolts' book at each year level.

• 

  Matrix Iterative Analysis

  By Richard S. Varga

  ... partial differential equations have received a great deal of attention. For excellent bibliographical coverage, see Todd (1956), Richtmyer (1957), ...

• 

  Mathematical Modelling: Education, Engineering and Economics - ICTMA 12

  By C Haines, P Galbraith, W Blum

  Todd, P. A., McKeen, .l. ... ANALYTICAL SUPPORT PROBLEM SOLVING Cognitive Perspectives on Modelling HOW DO STUDENTS AND TEACHERS DEAL Sodhi and Son 219 NOTE ...