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Introduction to Integral Calculus - Systematic Studies with Engineering Applications for Beginners (Hardcover)
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Introduction to Integral Calculus - Systematic Studies with Engineering Applications for Beginners (Hardcover)
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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 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.
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