Methods of Mathematics Applied to Calculus, Probability, and Statistics

Methods of Mathematics Applied to Calculus, Probability, and Statistics

Author: Richard W. Hamming

Publisher: Courier Corporation

Published: 2012-06-28

Total Pages: 882

ISBN-13: 0486138879

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This 4-part treatment begins with algebra and analytic geometry and proceeds to an exploration of the calculus of algebraic functions and transcendental functions and applications. 1985 edition. Includes 310 figures and 18 tables.


Applied Exterior Calculus

Applied Exterior Calculus

Author: Dominic G. B. Edelen

Publisher: Courier Corporation

Published: 2005-01-01

Total Pages: 530

ISBN-13: 0486438716

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This text begins with the essentials, advancing to applications and studies of physical disciplines, including classical and irreversible thermodynamics, electrodynamics, and the theory of gauge fields. Geared toward advanced undergraduates and graduate students, it develops most of the theory and requires only a familiarity with upper-division algebra and mathematical analysis. "Essential." — SciTech Book News. 1985 edition.


Contemporary Calculus

Contemporary Calculus

Author: Dale Hoffman

Publisher:

Published: 2013-12-31

Total Pages: 332

ISBN-13: 9781494842680

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A print version of Chapters 0-3 from Dale Hoffman's Contemporary Calculus, an open-source calculus text. These chapters cover the concepts of differential calculus (limits, definition of derivative, differentiation rules, and applications). Newly edited and typeset in LaTeX for improved readability. March 23, 2015, printing corrects 14 minor typos and adds 40 problems. Free PDF version available at: www.contemporarycalculus.com


Applied Calculus of Variations for Engineers

Applied Calculus of Variations for Engineers

Author: Louis Komzsik

Publisher: CRC Press

Published: 2018-09-03

Total Pages: 234

ISBN-13: 1482253607

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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.


Finite Math and Applied Calculus

Finite Math and Applied Calculus

Author: Stefan Waner

Publisher: Thomson Brooks/Cole

Published: 2013-01-01

Total Pages: 1296

ISBN-13: 9781285056357

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Full of relevant, diverse, and current real-world applications, Stefan Waner and Steven Costenoble's FINITE MATHEMATICS AND APPLIED CALCULUS, 6E, International Edition helps you relate to mathematics. A large number of the applications are based on real, referenced data from business, economics, the life sciences, and the social sciences. Thorough, clearly delineated spreadsheet and TI Graphing Calculator instruction appears throughout the book. Acclaimed for its readability and supported by the authors' popular website, this book will help you grasp and understand mathematics—whatever your learning style may be.


Applied Calculus of Variations for Engineers

Applied Calculus of Variations for Engineers

Author: Louis Komzsik

Publisher: CRC Press

Published: 2008-10-27

Total Pages: 185

ISBN-13: 1420086650

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The subject of calculus of variations is to find optimal solutions to engineering problems where the optimum may be a certain quantity, a shape, or a function. Applied Calculus of Variations for Engineers addresses this very important mathematical area applicable to many engineering disciplines. Its unique, application-oriented approach sets it apa


Applied Calculus of Variations for Engineers, Second Edition

Applied Calculus of Variations for Engineers, Second Edition

Author: Louis Komzsik

Publisher: CRC Press

Published: 2014-06-06

Total Pages: 236

ISBN-13: 1482253593

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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.


Applied Calculus of Variations for Engineers, Third edition

Applied Calculus of Variations for Engineers, Third edition

Author: Louis Komzsik

Publisher: CRC Press

Published: 2019-11-22

Total Pages: 293

ISBN-13: 1000764370

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Calculus of variations has a long history. Its fundamentals were laid down by icons of mathematics like Euler and Lagrange. It was once heralded as the panacea for all engineering optimization problems by suggesting that all one needed to do was to state a variational problem, apply the appropriate Euler-Lagrange equation and solve the resulting differential equation. This, as most all encompassing solutions, turned out to be not always true and the resulting differential equations are not necessarily easy to solve. On the other hand, many of the differential equations commonly used in various fields of engineering are derived from a variational problem. Hence it is an extremely important topic justifying the new edition of this book. This third edition extends the focus of the book to academia and supports both variational calculus and mathematical modeling classes. The newly added sections, extended explanations, numerous examples and exercises aid the students in learning, the professors in teaching, and the engineers in applying variational concepts.