Calculus for Engineering Students

Calculus for Engineering Students
Author: Jesus Martin Vaquero
Publisher: Academic Press
Total Pages: 372
Release: 2020-08-10
Genre: Mathematics
ISBN: 0128172118

Calculus for Engineering Students: Fundamentals, Real Problems, and Computers insists that mathematics cannot be separated from chemistry, mechanics, electricity, electronics, automation, and other disciplines. It emphasizes interdisciplinary problems as a way to show the importance of calculus in engineering tasks and problems. While concentrating on actual problems instead of theory, the book uses Computer Algebra Systems (CAS) to help students incorporate lessons into their own studies. Assuming a working familiarity with calculus concepts, the book provides a hands-on opportunity for students to increase their calculus and mathematics skills while also learning about engineering applications. - Organized around project-based rather than traditional homework-based learning - Reviews basic mathematics and theory while also introducing applications - Employs uniform chapter sections that encourage the comparison and contrast of different areas of engineering

Calculus for Engineers

Calculus for Engineers
Author: Donald W. Trim
Publisher:
Total Pages: 1115
Release: 2001
Genre: Calculus
ISBN: 9780130856036

Appropriate for Calculus courses taken by Engineering students, this second edition of Calculus for Engineers should be of interest to engineers who are studying calculus. Using an early transcendental approach, Trim emphasizes practical applications drawn from various engineering fields.

Calculus for Scientists and Engineers

Calculus for Scientists and Engineers
Author: Martin Brokate
Publisher: Springer
Total Pages: 655
Release: 2019-08-03
Genre: Mathematics
ISBN: 9811384649

This book presents the basic concepts of calculus and its relevance to real-world problems, covering the standard topics in their conventional order. By focusing on applications, it allows readers to view mathematics in a practical and relevant setting. Organized into 12 chapters, this book includes numerous interesting, relevant and up-to date applications that are drawn from the fields of business, economics, social and behavioural sciences, life sciences, physical sciences, and other fields of general interest. It also features MATLAB, which is used to solve a number of problems. The book is ideal as a first course in calculus for mathematics and engineering students. It is also useful for students of other sciences who are interested in learning calculus.

Introduction to Integral Calculus

Introduction to Integral Calculus
Author: Ulrich L. Rohde
Publisher: John Wiley & Sons
Total Pages: 371
Release: 2012-01-20
Genre: Mathematics
ISBN: 1118130332

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.

Applied Calculus of Variations for Engineers

Applied Calculus of Variations for Engineers
Author: Louis Komzsik
Publisher: CRC Press
Total Pages: 234
Release: 2018-09-03
Genre: Mathematics
ISBN: 1482253607

The purpose of the calculus of variations is to find optimal solutions to engineering problems whose optimum may be a certain quantity, shape, or function. Applied Calculus of Variations for Engineers addresses this important mathematical area applicable to many engineering disciplines. Its unique, application-oriented approach sets it apart from the theoretical treatises of most texts, as it is aimed at enhancing the engineer’s understanding of the topic. This Second Edition text: Contains new chapters discussing analytic solutions of variational problems and Lagrange-Hamilton equations of motion in depth Provides new sections detailing the boundary integral and finite element methods and their calculation techniques Includes enlightening new examples, such as the compression of a beam, the optimal cross section of beam under bending force, the solution of Laplace’s equation, and Poisson’s equation with various methods Applied Calculus of Variations for Engineers, Second Edition extends the collection of techniques aiding the engineer in the application of the concepts of the calculus of variations.

Elementary Calculus

Elementary Calculus
Author: H. Jerome Keisler
Publisher: Orange Groove Books
Total Pages: 992
Release: 2009-09-01
Genre: Mathematics
ISBN: 9781616100315

Fractional Calculus for Scientists and Engineers

Fractional Calculus for Scientists and Engineers
Author: Manuel Duarte Ortigueira
Publisher: Springer Science & Business Media
Total Pages: 159
Release: 2011-06-02
Genre: Technology & Engineering
ISBN: 9400707479

This book gives a practical overview of Fractional Calculus as it relates to Signal Processing

Fundamentals of Tensor Calculus for Engineers with a Primer on Smooth Manifolds

Fundamentals of Tensor Calculus for Engineers with a Primer on Smooth Manifolds
Author: Uwe Mühlich
Publisher: Springer
Total Pages: 134
Release: 2017-04-18
Genre: Science
ISBN: 3319562649

This book presents the fundamentals of modern tensor calculus for students in engineering and applied physics, emphasizing those aspects that are crucial for applying tensor calculus safely in Euclidian space and for grasping the very essence of the smooth manifold concept. After introducing the subject, it provides a brief exposition on point set topology to familiarize readers with the subject, especially with those topics required in later chapters. It then describes the finite dimensional real vector space and its dual, focusing on the usefulness of the latter for encoding duality concepts in physics. Moreover, it introduces tensors as objects that encode linear mappings and discusses affine and Euclidean spaces. Tensor analysis is explored first in Euclidean space, starting from a generalization of the concept of differentiability and proceeding towards concepts such as directional derivative, covariant derivative and integration based on differential forms. The final chapter addresses the role of smooth manifolds in modeling spaces other than Euclidean space, particularly the concepts of smooth atlas and tangent space, which are crucial to understanding the topic. Two of the most important concepts, namely the tangent bundle and the Lie derivative, are subsequently worked out.