Introduction to Integral Calculus: Systematic Studies with Engineering Applications for Beginners
Author: Ulrich L. Rohde, G. C. Jain, Ajay K. Poddar, A. K. Ghosh, | Size: 2 MB | Format:PDF | Quality:Original preprint | Publisher: John Wiley & Sons | Year: 2012 | pages: 415 | ISBN: ISBN 978-1-118-11776-7
n 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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Introduction to Differential Calculus: Systematic Studies with Engineering Applications for Beginners
Author: Ulrich L. Rohde, G. C. Jain, Ajay K. Poddar, A. K. Ghosh, | Size: 4 MB | Format:PDF | Quality:Original preprint | Publisher: John Wiley & Sons | Year: 2012 | pages: 757 | ISBN: 978-1-118-11775-0
Enables readers to apply the fundamentals of differential calculus to solve real-life problems in engineering and the physical sciences
Introduction to Differential Calculus fully engages readers by presenting the fundamental theories and methods of differential calculus and then showcasing how the discussed concepts can be applied to real-world problems in engineering and the physical sciences. With its easy-to-follow style and accessible explanations, the book sets a solid foundation before advancing to specific calculus methods, demonstrating the connections between differential calculus theory and its applications.
The first five chapters introduce underlying concepts such as algebra, geometry, coordinate geometry, and trigonometry. Subsequent chapters present a broad range of theories, methods, and applications in differential calculus, including:
Concepts of function, continuity, and derivative
Properties of exponential and logarithmic function
Inverse trigonometric functions and their properties
Derivatives of higher order
Methods to find maximum and minimum values of a function
Hyperbolic functions and their properties
Readers are equipped with the necessary tools to quickly learn how to understand 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 Differential Calculus is an excellent book for upper-undergraduate calculus courses and is also an ideal reference for students and professionals alike who would like to gain a further understanding of the use of calculus to solve problems in a simplified manner.
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Isolated Buildings and the 1997 UBC Near‐Source Factors
Earthquake Spectra 16, pp. 393-411 (2000)
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