Mathematical Methods for Science Students

Author: Geoffrey Stephenson
Publisher: Prentice Hall
ISBN: 0582444160
Release Date: 1973-01-01
Genre: Calculus

This well-known and widely recommended textbook provides an essential basis of mathematical techniques for engineers, physicists, chemists and management scientists at undergraduate level. The material is suitable for the first two years of a typical University or Polytechnic course, and it is developed assuming only an elementary knowledge of pre-University mathematics. The text includes a large number of worked examples, and there is a selection of unworked problems at the end of each chapter.

Advanced Mathematical Methods for Engineering and Science Students

Author: G. Stephenson
Publisher: Cambridge University Press
ISBN: 052136860X
Release Date: 1990-04-12
Genre: Mathematics

This textbook provides a solid foundation to a number of important topics in mathematics of interest to science and engineering students. Included are tensor algebra, ordinary differential equations, contour integration, Laplace and Fourier transforms, partial differential equations and the calculus of variations. The authors' approach is simple and direct with an emphasis on the analytical understanding of the material. The text is virtually selfcontained, assuming only that the student has a solid understanding of ancillary mathematics. Each chapter contains a large number of worked examples, and concludes with problems for solution, with answers in the back of the book.

Mathematical Methods in Science

Author: George Pólya
Publisher: Cambridge University Press
ISBN: 0883856263
Release Date: 1977
Genre: Mathematics

This book captures some of Pólya's excitement and vision. Its distinctive feature is the stress on the history of certain elementary chapters of science; these can be a source of enjoyment and deeper understanding of mathematics even for beginners who have little, or perhaps no, knowledge of physics.

Mathematical Methods in Science and Engineering

Author: Selçuk S. Bayin
Publisher: John Wiley & Sons
ISBN: 9781119425458
Release Date: 2018-02-26
Genre: Education

A Practical, Interdisciplinary Guide to Advanced Mathematical Methods for Scientists and Engineers Mathematical Methods in Science and Engineering, Second Edition, provides students and scientists with a detailed mathematical reference for advanced analysis and computational methodologies. Making complex tools accessible, this invaluable resource is designed for both the classroom and the practitioners; the modular format allows flexibility of coverage, while the text itself is formatted to provide essential information without detailed study. Highly practical discussion focuses on the “how-to” aspect of each topic presented, yet provides enough theory to reinforce central processes and mechanisms. Recent growing interest in interdisciplinary studies has brought scientists together from physics, chemistry, biology, economy, and finance to expand advanced mathematical methods beyond theoretical physics. This book is written with this multi-disciplinary group in mind, emphasizing practical solutions for diverse applications and the development of a new interdisciplinary science. Revised and expanded for increased utility, this new Second Edition: Includes over 60 new sections and subsections more useful to a multidisciplinary audience Contains new examples, new figures, new problems, and more fluid arguments Presents a detailed discussion on the most frequently encountered special functions in science and engineering Provides a systematic treatment of special functions in terms of the Sturm-Liouville theory Approaches second-order differential equations of physics and engineering from the factorization perspective Includes extensive discussion of coordinate transformations and tensors, complex analysis, fractional calculus, integral transforms, Green's functions, path integrals, and more Extensively reworked to provide increased utility to a broader audience, this book provides a self-contained three-semester course for curriculum, self-study, or reference. As more scientific disciplines begin to lean more heavily on advanced mathematical analysis, this resource will prove to be an invaluable addition to any bookshelf.

Mathematical Methods for Scientists and Engineers

Author: Donald Allan McQuarrie
Publisher: University Science Books
ISBN: 1891389246
Release Date: 2003-01-01
Genre: Mathematics

Intended for upper-level undergraduate and graduate courses in chemistry, physics, mathematics and engineering, this text is also suitable as a reference for advanced students in the physical sciences. Detailed problems and worked examples are included.

Essentials of Mathematical Methods in Science and Engineering

Author: S. Selçuk Bayin
Publisher: John Wiley & Sons
ISBN: 9781118626160
Release Date: 2013-06-05
Genre: Mathematics

A complete introduction to the multidisciplinary applications of mathematical methods In order to work with varying levels of engineering and physics research, it is important to have a firm understanding of key mathematical concepts such as advanced calculus, differential equations, complex analysis, and introductory mathematical physics. Essentials of Mathematical Methods in Science and Engineering provides a comprehensive introduction to these methods under one cover, outlining basic mathematical skills while also encouraging students and practitioners to develop new, interdisciplinary approaches to their research. The book begins with core topics from various branches of mathematics such as limits, integrals, and inverse functions. Subsequent chapters delve into the analytical tools that are commonly used in scientific and engineering studies, including vector analysis, generalized coordinates, determinants and matrices, linear algebra, complex numbers, complex analysis, and Fourier series. The author provides an extensive chapter on probability theory with applications to statistical mechanics and thermodynamics that complements the following chapter on information theory, which contains coverage of Shannon's theory, decision theory, game theory, and quantum information theory. A comprehensive list of references facilitates further exploration of these topics. Throughout the book, numerous examples and exercises reinforce the presented concepts and techniques. In addition, the book is in a modular format, so each chapter covers its subject thoroughly and can be read independently. This structure affords flexibility for individualizing courses and teaching. Providing a solid foundation and overview of the various mathematical methods and applications in multidisciplinary research, Essentials of Mathematical Methods in Science and Engineering is an excellent text for courses in physics, science, mathematics, and engineering at the upper-undergraduate and graduate levels. It also serves as a useful reference for scientists and engineers who would like a practical review of mathematical methods.

Advanced Mathematical Methods in Science and Engineering Second Edition

Author: S.I. Hayek
Publisher: CRC Press
ISBN: 9781420081985
Release Date: 2010-06-22
Genre: Mathematics

Classroom-tested, Advanced Mathematical Methods in Science and Engineering, Second Edition presents methods of applied mathematics that are particularly suited to address physical problems in science and engineering. Numerous examples illustrate the various methods of solution and answers to the end-of-chapter problems are included at the back of the book. After introducing integration and solution methods of ordinary differential equations (ODEs), the book presents Bessel and Legendre functions as well as the derivation and methods of solution of linear boundary value problems for physical systems in one spatial dimension governed by ODEs. It also covers complex variables, calculus, and integrals; linear partial differential equations (PDEs) in classical physics and engineering; the derivation of integral transforms; Green’s functions for ODEs and PDEs; asymptotic methods for evaluating integrals; and the asymptotic solution of ODEs. New to this edition, the final chapter offers an extensive treatment of numerical methods for solving non-linear equations, finite difference differentiation and integration, initial value and boundary value ODEs, and PDEs in mathematical physics. Chapters that cover boundary value problems and PDEs contain derivations of the governing differential equations in many fields of applied physics and engineering, such as wave mechanics, acoustics, heat flow in solids, diffusion of liquids and gases, and fluid flow. An update of a bestseller, this second edition continues to give students the strong foundation needed to apply mathematical techniques to the physical phenomena encountered in scientific and engineering applications.

Mathematical Methods for the Physical Sciences

Author: K. F. Riley
Publisher: Cambridge University Press
ISBN: 0521098394
Release Date: 1974-10-03
Genre: Mathematics

Designed for first and second year undergraduates at universities and polytechnics, as well as technical college students.

Mathematical Methods for Scientists and Engineers

Author: Peter B. Kahn
Publisher: Courier Corporation
ISBN: 9780486435169
Release Date: 2004
Genre: Mathematics

Appropriate for advanced undergraduate and graduate students in a variety of scientific and engineering fields, this text introduces linear and nonlinear problems and their associated models. The first part covers linear systems, emphasizing perturbation or approximation techniques and asymptotic methods. The second part comprises nonlinear problems, including weakly nonlinear oscillatory systems and nonlinear difference equations. The two parts, both of which include exercises, merge smoothly, and many of the nonlinear techniques arise from the study of the linear systems. 1990 edition. 70 figures. 4 tables. Appendix. Index.

Mathematical Methods Using Mathematica

Author: Sadri Hassani
Publisher: Springer Science & Business Media
ISBN: 9780387215594
Release Date: 2006-04-10
Genre: Science

Intended as a companion for textbooks in mathematical methods for science and engineering, this book presents a large number of numerical topics and exercises together with discussions of methods for solving such problems using Mathematica(R). Although it is primarily designed for use with the author's "Mathematical Methods: For Students of Physics and Related Fields," the discussions in the book sufficiently self-contained that the book can be used as a supplement to any of the standard textbooks in mathematical methods for undergraduate students of physical sciences or engineering.

Mathematical Methods

Author: Sadri Hassani
Publisher: Springer Science & Business Media
ISBN: 9780387215624
Release Date: 2013-11-11
Genre: Mathematics

Intended to follow the usual introductory physics courses, this book contains many original, lucid and relevant examples from the physical sciences, problems at the ends of chapters, and boxes to emphasize important concepts to help guide students through the material.

Mathematical Methods for the Natural and Engineering Sciences

Author: Ronald E. Mickens
Publisher: World Scientific
ISBN: 9812387501
Release Date: 2004
Genre: Technology & Engineering

This book provides a variety of methods required for the analysis and solution of equations which arise in the modeling of phenomena from the natural and engineering sciences. It can be used productively by both undergraduate and graduate students, as well as others who need to learn and understand these techniques. A detailed discussion is also presented for several topics that are usually not included in standard textbooks at this level: qualitative methods for differential equations, dimensionalization and scaling, elements of asymptotics, difference equations, and various perturbation methods. Each chapter contains a large number of worked examples and provides references to the appropriate literature.

Student Solution Manual for Essential Mathematical Methods for the Physical Sciences

Author: K. F. Riley
Publisher: Cambridge University Press
ISBN: 9781139491969
Release Date: 2011-02-17
Genre: Science

This Student Solution Manual provides complete solutions to all the odd-numbered problems in Essential Mathematical Methods for the Physical Sciences. It takes students through each problem step-by-step, so they can clearly see how the solution is reached, and understand any mistakes in their own working. Students will learn by example how to select an appropriate method, improving their problem-solving skills.