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Worked Examples in Mathematics for Scientists and Engineers

Worked Examples in Mathematics for Scientists and Engineers
Author: G. Stephenson
Publisher: Courier Dover Publications
Total Pages: 259
Release: 2019-10-16
Genre: Mathematics
ISBN: 048683736X

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This rich collection of fully worked problems in many areas of mathematics covers all the important subjects students are likely to encounter in their courses, from introductory to final-year undergraduate classes. Because lecture courses tend to focus on theory rather than examples, these exercises offer a valuable complement to classroom teachings, promoting the understanding of mathematical techniques and helping students prepare for exams. They will prove useful to undergraduates in mathematics; students in engineering, physics, and chemistry; and postgraduate scientists looking for a way to refresh their skills in specific topics. The problems can supplement lecture notes and any conventional text. Starting with functions, inequalities, limits, differentiation, and integration, topics encompass integral inequalities, power series and convergence, complex variables, hyperbolic function, vector and matrix algebra, Laplace transforms, Fourier series, vector calculus, and many other subjects.


Advanced Mathematics for Engineers and Scientists

Advanced Mathematics for Engineers and Scientists
Author: Paul DuChateau
Publisher: Courier Corporation
Total Pages: 401
Release: 2013-01-17
Genre: Mathematics
ISBN: 0486141594

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This book can be used as either a primary text or a supplemental reference for courses in applied mathematics. Its core chapters are devoted to linear algebra, calculus, and ordinary differential equations. Additional topics include partial differential equations and approximation methods. Each chapter features an ample selection of solved problems. These problems were chosen to illustrate not only how to solve various algebraic and differential equations but also how to interpret the solutions in order to gain insight into the behavior of the system modeled by the equation. In addition to the worked-out problems, numerous examples and exercises appear throughout the text.


Essential Mathematics for Engineers and Scientists

Essential Mathematics for Engineers and Scientists
Author: Thomas J. Pence
Publisher: Cambridge University Press
Total Pages: 757
Release: 2020-05-21
Genre: Mathematics
ISBN: 1108425445

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Clear and engaging introduction for graduate students in engineering and the physical sciences to essential topics of applied mathematics.


Mathematical Methods for Scientists and Engineers

Mathematical Methods for Scientists and Engineers
Author: Donald Allan McQuarrie
Publisher: University Science Books
Total Pages: 1188
Release: 2003
Genre: Mathematics
ISBN: 9781891389245

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"Intended for upper-level undergraduate and graduate courses in chemistry, physics, math and engineering, this book will also become a must-have for the personal library of all advanced students in the physical sciences. Comprised of more than 2000 problems and 700 worked examples that detail every single step, this text is exceptionally well adapted for self study as well as for course use."--From publisher description.


Advanced Mathematical Methods for Scientists and Engineers I

Advanced Mathematical Methods for Scientists and Engineers I
Author: Carl M. Bender
Publisher: Springer Science & Business Media
Total Pages: 616
Release: 1999-10-29
Genre: Mathematics
ISBN: 9780387989310

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A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.


Mathematical Physics

Mathematical Physics
Author: Bruce R. Kusse
Publisher: Wiley-VCH
Total Pages: 700
Release: 2006-03-10
Genre: Science
ISBN:

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The second, corrected edition of this well-established mathematical text again puts its emphasis on mathematical tools commonly used by scientists and engineers to solve real-world problems. Using a unique approach, it covers intermediate and advanced material in a manner appropriate for undergraduate students. Based on author Bruce Kusse's course at the Department of Applied and Engineering Physics at Cornell University, Mathematical Physics begins with essentials such as vector and tensor algebra, curvilinear coordinate systems, complex variables, Fourier series, Fourier and Laplace transforms, differential and integral equations, and solutions to Laplace's equations. The book moves on to explain complex topics that often fall through the cracks in undergraduate programs, including the Dirac delta-function, multivalued complex functions using branch cuts, branch points and Riemann sheets, contravariant and covariant tensors, and an introduction to group theory. The book covers applications in all areas of engineering and the physical science, and features numerous figures and worked-out examples throughout the text. Many end-of-chapter exercises are provides; a free solution manual is available for lecturers. The topics are organized pedagogically, in the order they will be most easily understood. From the contents: A review of Vector and Matrix Algebra Using Subscript/Summation Conventions Differential and Integral Operations on Vector and Scalar Fields Curvilinear Coordinate Systems Tensors in Orthogonal and Skewed Systems The Dirac Function Complex Variables Fourier Series Fourier and Laplace Transforms Differential Equations Solutions to Laplace's Equation Integral Equations


Math Refresher for Scientists and Engineers

Math Refresher for Scientists and Engineers
Author: John R. Fanchi
Publisher: John Wiley & Sons
Total Pages: 361
Release: 2006-06-12
Genre: Mathematics
ISBN: 0471791547

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Expanded coverage of essential math, including integral equations, calculus of variations, tensor analysis, and special integrals Math Refresher for Scientists and Engineers, Third Edition is specifically designed as a self-study guide to help busy professionals and students in science and engineering quickly refresh and improve the math skills needed to perform their jobs and advance their careers. The book focuses on practical applications and exercises that readers are likely to face in their professional environments. All the basic math skills needed to manage contemporary technology problems are addressed and presented in a clear, lucid style that readers familiar with previous editions have come to appreciate and value. The book begins with basic concepts in college algebra and trigonometry, and then moves on to explore more advanced concepts in calculus, linear algebra (including matrices), differential equations, probability, and statistics. This Third Edition has been greatly expanded to reflect the needs of today's professionals. New material includes: * A chapter on integral equations * A chapter on calculus of variations * A chapter on tensor analysis * A section on time series * A section on partial fractions * Many new exercises and solutions Collectively, the chapters teach most of the basic math skills needed by scientists and engineers. The wide range of topics covered in one title is unique. All chapters provide a review of important principles and methods. Examples, exercises, and applications are used liberally throughout to engage the readers and assist them in applying their new math skills to actual problems. Solutions to exercises are provided in an appendix. Whether to brush up on professional skills or prepare for exams, readers will find this self-study guide enables them to quickly master the math they need. It can additionally be used as a textbook for advanced-level undergraduates in physics and engineering.


Mathematics for Engineers and Scientists, 5th Edition

Mathematics for Engineers and Scientists, 5th Edition
Author: Alan Jeffrey
Publisher: CRC Press
Total Pages: 934
Release: 1996-06-13
Genre: Mathematics
ISBN: 9780412621505

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This edition of the book has been revised with the needs of present-day first-year engineering students in mind. Apart from many significant extensions to the text, attention has been paid to the inclusion of additional explanatory material wherever it seems likely to be helpful and to a lowering of the rigour of proofs given in previous editions - without losing sight of the necessity to justify results. New problem sets are included for use with commonly available software products. The mathematical requirements common to first year engineering students of every discipline are covered in detail with numerous illustrative worked examples given throughout the text. Extensive problem sets are given at the end of each chapter with answers to odd-numbered questions provided at the end of the book.


Handbook of Mathematics for Engineers and Scientists

Handbook of Mathematics for Engineers and Scientists
Author: Andrei D. Polyanin
Publisher: CRC Press
Total Pages: 1542
Release: 2006-11-27
Genre: Mathematics
ISBN: 1420010514

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Covering the main fields of mathematics, this handbook focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. The authors describe formulas, methods, equations, and solutions that are frequently used in scientific and engineering applications and present classical as well as newer solution methods for various mathematical equations. The book supplies numerous examples, graphs, figures, and diagrams and contains many results in tabular form, including finite sums and series and exact solutions of differential, integral, and functional equations.