Calculus For Engineering

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Calculus for Engineering Students

Author : Jesus Martin Vaquero
Publisher : Academic Press
ISBN 13 : 0128172118
Total Pages : 372 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Calculus for Engineering Students by : Jesus Martin Vaquero

Download or read book Calculus for Engineering Students written by Jesus Martin Vaquero and published by Academic Press. This book was released on 2020-08-10 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Engineering I

Author : Chester Miracle
Publisher :
ISBN 13 : 9781524943844
Total Pages : 364 pages
Book Rating : 4.9/5 (438 download)

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Book Synopsis Calculus for Engineering I by : Chester Miracle

Download or read book Calculus for Engineering I written by Chester Miracle and published by . This book was released on 2017-07-11 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Calculus for Engineers

Author : Donald W. Trim
Publisher :
ISBN 13 : 9780130856036
Total Pages : 1115 pages
Book Rating : 4.8/5 (56 download)

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Book Synopsis Calculus for Engineers by : Donald W. Trim

Download or read book Calculus for Engineers written by Donald W. Trim and published by . This book was released on 2001 with total page 1115 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Integral Calculus

Author : Ulrich L. Rohde
Publisher : John Wiley & Sons
ISBN 13 : 1118130332
Total Pages : 371 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis Introduction to Integral Calculus by : Ulrich L. Rohde

Download or read book Introduction to Integral Calculus written by Ulrich L. Rohde and published by John Wiley & Sons. This book was released on 2012-01-20 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Elementary Calculus

Author : H. Jerome Keisler
Publisher : Orange Groove Books
ISBN 13 : 9781616100315
Total Pages : 992 pages
Book Rating : 4.1/5 (3 download)

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Book Synopsis Elementary Calculus by : H. Jerome Keisler

Download or read book Elementary Calculus written by H. Jerome Keisler and published by Orange Groove Books. This book was released on 2009-09-01 with total page 992 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Calculus

Author : Mircea Grigoriu
Publisher : Springer Science & Business Media
ISBN 13 : 0817682287
Total Pages : 784 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Stochastic Calculus by : Mircea Grigoriu

Download or read book Stochastic Calculus written by Mircea Grigoriu and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic, differential, and integral equations are used in the applied sciences, en gineering, economics, and the social sciences to characterize the current state of a physical, economic, or social system and forecast its evolution in time. Generally, the coefficients of and/or the input to these equations are not precisely known be cause of insufficient information, limited understanding of some underlying phe nomena, and inherent randonmess. For example, the orientation of the atomic lattice in the grains of a polycrystal varies randomly from grain to grain, the spa tial distribution of a phase of a composite material is not known precisely for a particular specimen, bone properties needed to develop reliable artificial joints vary significantly with individual and age, forces acting on a plane from takeoff to landing depend in a complex manner on the environmental conditions and flight pattern, and stock prices and their evolution in time depend on a large number of factors that cannot be described by deterministic models. Problems that can be defined by algebraic, differential, and integral equations with random coefficients and/or input are referred to as stochastic problems. The main objective of this book is the solution of stochastic problems, that is, the determination of the probability law, moments, and/or other probabilistic properties of the state of a physical, economic, or social system. It is assumed that the operators and inputs defining a stochastic problem are specified.

Applied Calculus of Variations for Engineers

Author : Louis Komzsik
Publisher : CRC Press
ISBN 13 : 1482253607
Total Pages : 234 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Applied Calculus of Variations for Engineers by : Louis Komzsik

Download or read book Applied Calculus of Variations for Engineers written by Louis Komzsik and published by CRC Press. This book was released on 2018-09-03 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Calculus for Scientists and Engineers

Author : Martin Brokate
Publisher : Springer
ISBN 13 : 9811384649
Total Pages : 655 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis Calculus for Scientists and Engineers by : Martin Brokate

Download or read book Calculus for Scientists and Engineers written by Martin Brokate and published by Springer. This book was released on 2019-08-03 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Calculus for Engineering II

Author : Chester Miracle
Publisher :
ISBN 13 : 9781524943851
Total Pages : 368 pages
Book Rating : 4.9/5 (438 download)

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Book Synopsis Calculus for Engineering II by : Chester Miracle

Download or read book Calculus for Engineering II written by Chester Miracle and published by . This book was released on 2017-07-11 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fractional Calculus for Scientists and Engineers

Author : Manuel Duarte Ortigueira
Publisher : Springer Science & Business Media
ISBN 13 : 9400707479
Total Pages : 159 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Fractional Calculus for Scientists and Engineers by : Manuel Duarte Ortigueira

Download or read book Fractional Calculus for Scientists and Engineers written by Manuel Duarte Ortigueira and published by Springer Science & Business Media. This book was released on 2011-06-02 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a practical overview of Fractional Calculus as it relates to Signal Processing

Introduction to Differential Calculus

Author : Ulrich L. Rohde
Publisher : John Wiley & Sons
ISBN 13 : 1118117751
Total Pages : 788 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis Introduction to Differential Calculus by : Ulrich L. Rohde

Download or read book Introduction to Differential Calculus written by Ulrich L. Rohde and published by John Wiley & Sons. This book was released on 2012-01-11 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Two and Three Dimensional Calculus

Author : Phil Dyke
Publisher : John Wiley & Sons
ISBN 13 : 1119221781
Total Pages : 394 pages
Book Rating : 4.1/5 (192 download)

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Book Synopsis Two and Three Dimensional Calculus by : Phil Dyke

Download or read book Two and Three Dimensional Calculus written by Phil Dyke and published by John Wiley & Sons. This book was released on 2018-07-23 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers multivariable calculus, starting from the basics and leading up to the three theorems of Green, Gauss, and Stokes, but always with an eye on practical applications. Written for a wide spectrum of undergraduate students by an experienced author, this book provides a very practical approach to advanced calculus—starting from the basics and leading up to the theorems of Green, Gauss, and Stokes. It explains, clearly and concisely, partial differentiation, multiple integration, vectors and vector calculus, and provides end-of-chapter exercises along with their solutions to aid the readers’ understanding. Written in an approachable style and filled with numerous illustrative examples throughout, Two and Three Dimensional Calculus: with Applications in Science and Engineering assumes no prior knowledge of partial differentiation or vectors and explains difficult concepts with easy to follow examples. Rather than concentrating on mathematical structures, the book describes the development of techniques through their use in science and engineering so that students acquire skills that enable them to be used in a wide variety of practical situations. It also has enough rigor to enable those who wish to investigate the more mathematical generalizations found in most mathematics degrees to do so. Assumes no prior knowledge of partial differentiation, multiple integration or vectors Includes easy-to-follow examples throughout to help explain difficult concepts Features end-of-chapter exercises with solutions to exercises in the book. Two and Three Dimensional Calculus: with Applications in Science and Engineering is an ideal textbook for undergraduate students of engineering and applied sciences as well as those needing to use these methods for real problems in industry and commerce.

Calculus

Author : Morris Kline
Publisher : Courier Corporation
ISBN 13 : 0486134768
Total Pages : 962 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Calculus by : Morris Kline

Download or read book Calculus written by Morris Kline and published by Courier Corporation. This book was released on 2013-05-09 with total page 962 pages. Available in PDF, EPUB and Kindle. Book excerpt: Application-oriented introduction relates the subject as closely as possible to science with explorations of the derivative; differentiation and integration of the powers of x; theorems on differentiation, antidifferentiation; the chain rule; trigonometric functions; more. Examples. 1967 edition.

Applied Probabilistic Calculus for Financial Engineering

Author : Bertram K. C. Chan
Publisher : John Wiley & Sons
ISBN 13 : 1119387612
Total Pages : 532 pages
Book Rating : 4.1/5 (193 download)

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Book Synopsis Applied Probabilistic Calculus for Financial Engineering by : Bertram K. C. Chan

Download or read book Applied Probabilistic Calculus for Financial Engineering written by Bertram K. C. Chan and published by John Wiley & Sons. This book was released on 2017-10-16 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Illustrates how R may be used successfully to solve problems in quantitative finance Applied Probabilistic Calculus for Financial Engineering: An Introduction Using R provides R recipes for asset allocation and portfolio optimization problems. It begins by introducing all the necessary probabilistic and statistical foundations, before moving on to topics related to asset allocation and portfolio optimization with R codes illustrated for various examples. This clear and concise book covers financial engineering, using R in data analysis, and univariate, bivariate, and multivariate data analysis. It examines probabilistic calculus for modeling financial engineering—walking the reader through building an effective financial model from the Geometric Brownian Motion (GBM) Model via probabilistic calculus, while also covering Ito Calculus. Classical mathematical models in financial engineering and modern portfolio theory are discussed—along with the Two Mutual Fund Theorem and The Sharpe Ratio. The book also looks at R as a calculator and using R in data analysis in financial engineering. Additionally, it covers asset allocation using R, financial risk modeling and portfolio optimization using R, global and local optimal values, locating functional maxima and minima, and portfolio optimization by performance analytics in CRAN. Covers optimization methodologies in probabilistic calculus for financial engineering Answers the question: What does a "Random Walk" Financial Theory look like? Covers the GBM Model and the Random Walk Model Examines modern theories of portfolio optimization, including The Markowitz Model of Modern Portfolio Theory (MPT), The Black-Litterman Model, and The Black-Scholes Option Pricing Model Applied Probabilistic Calculus for Financial Engineering: An Introduction Using R s an ideal reference for professionals and students in economics, econometrics, and finance, as well as for financial investment quants and financial engineers.

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

Author : Uwe Mühlich
Publisher : Springer
ISBN 13 : 3319562649
Total Pages : 134 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Fundamentals of Tensor Calculus for Engineers with a Primer on Smooth Manifolds by : Uwe Mühlich

Download or read book Fundamentals of Tensor Calculus for Engineers with a Primer on Smooth Manifolds written by Uwe Mühlich and published by Springer. This book was released on 2017-04-18 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Handbook of Fractional Calculus for Engineering and Science

Author : Harendra Singh
Publisher : CRC Press
ISBN 13 : 1000540081
Total Pages : 318 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Handbook of Fractional Calculus for Engineering and Science by : Harendra Singh

Download or read book Handbook of Fractional Calculus for Engineering and Science written by Harendra Singh and published by CRC Press. This book was released on 2022-02-16 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional calculus is used to model many real-life situations from science and engineering. The book includes different topics associated with such equations and their relevance and significance in various scientific areas of study and research. In this book readers will find several important and useful methods and techniques for solving various types of fractional-order models in science and engineering. The book should be useful for graduate students, PhD students, researchers and educators interested in mathematical modelling, physical sciences, engineering sciences, applied mathematical sciences, applied sciences, and so on. This Handbook: Provides reliable methods for solving fractional-order models in science and engineering. Contains efficient numerical methods and algorithms for engineering-related equations. Contains comparison of various methods for accuracy and validity. Demonstrates the applicability of fractional calculus in science and engineering. Examines qualitative as well as quantitative properties of solutions of various types of science- and engineering-related equations. Readers will find this book to be useful and valuable in increasing and updating their knowledge in this field and will be it will be helpful for engineers, mathematicians, scientist and researchers working on various real-life problems.

Advanced Calculus and Its Applications to the Engineering and Physical Sciences

Author : John C. Amazigo
Publisher :
ISBN 13 :
Total Pages : 424 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Advanced Calculus and Its Applications to the Engineering and Physical Sciences by : John C. Amazigo

Download or read book Advanced Calculus and Its Applications to the Engineering and Physical Sciences written by John C. Amazigo and published by . This book was released on 1980-09-02 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in problem-solving format, this book emphasizes the purpose of an advanced calculus course by offering a more thorough presentation of some topics to which engineering and physical science students have already been exposed. By supplementing and extending these subjects, the book demonstrates how the tools and ideas developed are vital to an understanding of advanced physical theories.