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1945 results in Engineering mathematics and programming

Page 42 of 98

Mathematical Methods for Physics and Engineering
  • A Comprehensive Guide
  • 3rd edition
  • K. F. Riley, M. P. Hobson, S. J. Bence
  • Published online:
    05 June 2012
    Print publication:
    13 March 2006
  • The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. New stand-alone chapters give a systematic account of the 'special functions' of physical science, cover an extended range of practical applications of complex variables, and give an introduction to quantum operators. Further tabulations, of relevance in statistics and numerical integration, have been added. In this edition, half of the exercises are provided with hints and answers and, in a separate manual available to both students and their teachers, complete worked solutions. The remaining exercises have no hints, answers or worked solutions and can be used for unaided homework; full solutions are available to instructors on a password-protected web site, www.cambridge.org/9780521679718.

Foundation Mathematics for the Physical Sciences
  • K. F. Riley, M. P. Hobson
  • Published online:
    05 June 2012
    Print publication:
    31 March 2011
  • This tutorial-style textbook develops the basic mathematical tools needed by first and second year undergraduates to solve problems in the physical sciences. Students gain hands-on experience through hundreds of worked examples, self-test questions and homework problems. Each chapter includes a summary of the main results, definitions and formulae. Over 270 worked examples show how to put the tools into practice. Around 170 self-test questions in the footnotes and 300 end-of-section exercises give students an instant check of their understanding. More than 450 end-of-chapter problems allow students to put what they have just learned into practice. Hints and outline answers to the odd-numbered problems are given at the end of each chapter. Complete solutions to these problems can be found in the accompanying Student Solutions Manual. Fully-worked solutions to all problems, password-protected for instructors, are available at www.cambridge.org/foundation.

Numerical and Statistical Methods for Bioengineering
  • Applications in MATLAB
  • Michael R. King, Nipa A. Mody
  • Published online:
    05 June 2012
    Print publication:
    04 November 2010
  • The first MATLAB-based numerical methods textbook for bioengineers that uniquely integrates modelling concepts with statistical analysis, while maintaining a focus on enabling the user to report the error or uncertainty in their result. Between traditional numerical method topics of linear modelling concepts, nonlinear root finding, and numerical integration, chapters on hypothesis testing, data regression and probability are interweaved. A unique feature of the book is the inclusion of examples from clinical trials and bioinformatics, which are not found in other numerical methods textbooks for engineers. With a wealth of biomedical engineering examples, case studies on topical biomedical research, and the inclusion of end of chapter problems, this is a perfect core text for a one-semester undergraduate course.

A Practical Guide to Data Analysis for Physical Science Students
  • Louis Lyons
  • Published online:
    05 June 2012
    Print publication:
    29 November 1991
  • It is usually straightforward to calculate the result of a practical experiment in the laboratory. Estimating the accuracy of that result is often regarded by students as an obscure and tedious routine, involving much arithmetic. An estimate of the error is, however, an integral part of the presentation of the results of experiments. This textbook is intended for undergraduates who are carrying out laboratory experiments in the physical sciences for the first time. It is a practical guide on how to analyse data and estimate errors. The necessary formulas for performing calculations are given, and the ideas behind them are explained, although this is not a formal text on statistics. Specific examples are worked through step by step in the text. Emphasis is placed on the need to think about whether a calculated error is sensible. At first students should take this book with them to the laboratory, and the format is intended to make this convenient. The book will provide the necessary understanding of what is involved, should inspire confidence in the method of estimating errors, and enable numerical calculations without too much effort. The author's aim is to make practical classes more enjoyable. Students who use this book will be able to complete their calculations quickly and confidently, leaving time to appreciate the basic physical ideas involved in the experiments.

All You Wanted to Know about Mathematics but Were Afraid to Ask
  • Mathematics Applied to Science
  • Volume 1
  • Louis Lyons
  • Published online:
    05 June 2012
    Print publication:
    05 October 1995
  • Why is the square root of minus one relevant to electrical circuits? Can geometry be used to solve problems in the physical sciences? How could you help a being on a distant planet distinguish left and right? With a clear understanding of mathematics, these questions can be solved. But in many textbooks, mathematical proofs and techniques cloud the issue of understanding the physical principles. This book shows why particular techniques are useful by providing clear and full explanations. The aim is to convey a deeper appreciation of mathematical methods that are applicable to physics and engineering. A wide range of real physical problems are discussed. The author has thirty years experience of teaching mathematics to undergraduates. This book is based on the explanations he has found to be most successful in teaching.

Fundamentals of Engineering Numerical Analysis
  • 2nd edition
  • Parviz Moin
  • Published online:
    05 June 2012
    Print publication:
    23 August 2010
  • Since the original publication of this book, available computer power has increased greatly. Today, scientific computing is playing an ever more prominent role as a tool in scientific discovery and engineering analysis. In this second edition, the key addition is an introduction to the finite element method. This is a widely used technique for solving partial differential equations (PDEs) in complex domains. This text introduces numerical methods and shows how to develop, analyse, and use them. Complete MATLAB programs for all the worked examples are now available at www.cambridge.org/Moin, and more than 30 exercises have been added. This thorough and practical book is intended as a first course in numerical analysis, primarily for new graduate students in engineering and physical science. Along with mastering the fundamentals of numerical methods, students will learn to write their own computer programs using standard numerical methods.

Maths: A Student's Survival Guide
  • A Self-Help Workbook for Science and Engineering Students
  • 2nd edition
  • Jenny Olive
  • Published online:
    05 June 2012
    Print publication:
    18 September 2003
  • This friendly self-help workbook covers mathematics essential to first-year undergraduate scientists and engineers. In the second edition of this highly successful textbook the author has completely revised the existing text and added a totally new chapter on vectors. Mathematics underpins all science and engineering degrees, and this may cause problems for students whose understanding of the subject is weak. In this book Jenny Olive uses her extensive experience of teaching and helping students by giving a clear and confident presentation of the core mathematics needed by students starting science or engineering courses. The book contains almost 800 exercises, with detailed solutions given in the back to allow students who get stuck to see exactly where they have gone wrong. Topics covered include trigonometry and hyperbolic functions, sequences and series (with detailed coverage of binomial series), differentiation and integration, complex numbers, and vectors.

Essential Mathematical Methods for the Physical Sciences
  • K. F. Riley, M. P. Hobson
  • Published online:
    05 June 2012
    Print publication:
    17 February 2011
  • The mathematical methods that physical scientists need for solving substantial problems in their fields of study are set out clearly and simply in this tutorial-style textbook. Students will develop problem-solving skills through hundreds of worked examples, self-test questions and homework problems. Each chapter concludes with a summary of the main procedures and results and all assumed prior knowledge is summarized in one of the appendices. Over 300 worked examples show how to use the techniques and around 100 self-test questions in the footnotes act as checkpoints to build student confidence. Nearly 400 end-of-chapter problems combine ideas from the chapter to reinforce the concepts. Hints and outline answers to the odd-numbered problems are given at the end of each chapter, with fully-worked solutions to these problems given in the accompanying Student Solutions Manual. Fully-worked solutions to all problems, password-protected for instructors, are available at www.cambridge.org/essential.

A Student's Guide to Vectors and Tensors
  • Daniel A. Fleisch
  • Published online:
    05 June 2012
    Print publication:
    22 September 2011
  • Vectors and tensors are among the most powerful problem-solving tools available, with applications ranging from mechanics and electromagnetics to general relativity. Understanding the nature and application of vectors and tensors is critically important to students of physics and engineering. Adopting the same approach used in his highly popular A Student's Guide to Maxwell's Equations, Fleisch explains vectors and tensors in plain language. Written for undergraduate and beginning graduate students, the book provides a thorough grounding in vectors and vector calculus before transitioning through contra and covariant components to tensors and their applications. Matrices and their algebra are reviewed on the book's supporting website, which also features interactive solutions to every problem in the text where students can work through a series of hints or choose to see the entire solution at once. Audio podcasts give students the opportunity to hear important concepts in the book explained by the author.

Student Solution Manual for Essential Mathematical Methods for the Physical Sciences
  • K. F. Riley, M. P. Hobson
  • Published online:
    05 June 2012
    Print publication:
    17 February 2011
  • 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.

All You Wanted to Know about Mathematics but Were Afraid to Ask
  • Mathematics for Science Students
  • Volume 2
  • Louis Lyons
  • Published online:
    05 June 2012
    Print publication:
    30 April 1998
  • This book, first published in 1998, is the second in a two volume work and introduces integral and differential calculus, waves, matrices, and eigenvectors for undergraduates in physics and engineering. Together, the two volumes cover all the mathematics needed for an introductory course in the physical sciences. The approach taken is to learn through understanding real examples, showing mathematics as a tool for understanding physical systems and their behaviour. The aim is to make the student feel at home with real problems by creating a toolkit through a wide range of examples. The traditional approach of teaching theory for its own sake is not used in this course. Dr. Lyons brings a wealth of teaching experience to this refreshing textbook on the fundamentals of mathematics for physics and engineering.

Advanced Mathematics for Applications
  • Andrea Prosperetti
  • Published online:
    05 June 2012
    Print publication:
    06 January 2011
  • The partial differential equations that govern scalar and vector fields are the very language used to model a variety of phenomena in solid mechanics, fluid flow, acoustics, heat transfer, electromagnetism and many others. A knowledge of the main equations and of the methods for analyzing them is therefore essential to every working physical scientist and engineer. Andrea Prosperetti draws on many years' research experience to produce a guide to a wide variety of methods, ranging from classical Fourier-type series through to the theory of distributions and basic functional analysis. Theorems are stated precisely and their meaning explained, though proofs are mostly only sketched, with comments and examples being given more prominence. The book structure does not require sequential reading: each chapter is self-contained and users can fashion their own path through the material. Topics are first introduced in the context of applications, and later complemented by a more thorough presentation.

Mathematical Methods for Physics and Engineering
  • A Comprehensive Guide
  • 2nd edition
  • K. F. Riley, M. P. Hobson, S. J. Bence
  • Published online:
    05 June 2012
    Print publication:
    15 August 2002
  • The new edition of this highly acclaimed textbook contains several major additions, including more than four hundred new exercises (with hints and answers). To match the mathematical preparation of current senior college and university entrants, the authors have included a preliminary chapter covering areas such as polynomial equations, trigonometric identities, coordinate geometry, partial fractions, binomial expansions, induction, and the proof of necessary and sufficient conditions. Elsewhere, matrix decompositions, nearly-singular matrices and non-square sets of linear equations are treated in detail. The presentation of probability has been reorganised and greatly extended, and includes all physically important distributions. New topics covered in a separate statistics chapter include estimator efficiency, distributions of samples, t- and F-tests for comparing means and variances, applications of the chi-squared distribution, and maximum likelihood and least-squares fitting. In other chapters the following topics have been added: linear recurrence relations, curvature, envelopes, curve-sketching, and more refined numerical methods.

Numerical Methods in Engineering with Python
  • Jaan Kiusalaas
  • Published online:
    05 June 2012
    Print publication:
    25 July 2005
  • Numerical Methods in Engineering with Python is a text for engineering students and a reference for practicing engineers, especially those who wish to explore the power and efficiency of Python. Examples and applications were chosen for their relevance to real world problems, and where numerical solutions are most efficient. Numerical methods are discussed thoroughly and illustrated with problems involving both hand computation and programming. Computer code accompanies each method and is available on the book web site. This code is made simple and easy to understand by avoiding complex bookkeeping schemes, while maintaining the essential features of the method. Python was chosen as the example language because it is elegant, easy to learn and debug, and its facilities for handling arrays are unsurpassed. Moreover, it is an open-source software package; free and available to all students and engineers. Explore numerical methods with Python, a great language for teaching scientific computation.

Numerical Methods in Engineering with MATLAB®
  • 2nd edition
  • Jaan Kiusalaas
  • Published online:
    05 June 2012
    Print publication:
    30 September 2009
  • Numerical Methods in Engineering with MATLAB® is a text for engineering students and a reference for practising engineers. The choice of numerical methods was based on their relevance to engineering problems. Every method is discussed thoroughly and illustrated with problems involving both hand computation and programming. MATLAB M-files accompany each method and are available on the book website. This code is made simple and easy to understand by avoiding complex book-keeping schemes, while maintaining the essential features of the method. MATLAB was chosen as the example language because of its ubiquitous use in engineering studies and practice. This new edition includes the new MATLAB anonymous functions, which allow the programmer to embed functions into the program rather than storing them as separate files.

Finite Elements for Electrical Engineers
  • 3rd edition
  • Peter P. Silvester, Ronald L. Ferrari
  • Published online:
    05 June 2012
    Print publication:
    05 September 1996
  • This third edition of the principal text on the finite element method for electrical engineers and electronics specialists presents the method in a mathematically undemanding style, accessible to undergraduates who may be encountering it for the first time. Like the earlier editions, it begins by deriving finite elements for the simplest familiar potential fields, then advances to formulate finite elements for a wide range of applied electromagnetics problems. These include wave propagation, diffusion, and static fields; open-boundary problems and nonlinear materials; axisymmetric, planar and fully three-dimensional geometries; scalar and vector fields. This new edition is more than half as long again as its predecessor, with original material extensively revised and much new material added. As well as providing all that is needed for the beginning undergraduate student, this textbook is also a valuable reference text for professional engineers and research students. A wide selection of demonstration programs allows the reader to follow the practical use of the methods.

Fundamentals of Engineering Programming with C and Fortran
  • Harley R. Myler
  • Published online:
    05 June 2012
    Print publication:
    28 June 1998
  • Fundamentals of Engineering Programming with C and Fortran, first published in 1998, is a beginner's guide to problem solving with computers which shows how to quickly prototype a program for a particular engineering application. The book's side by side coverage of C and Fortran, the predominant computer languages in engineering, is unique. It emphasizes the importance of developing programming skills in C while carefully presenting the importance of maintaining a good reading knowledge of Fortran. Beginning with a brief description of computer architecture, the book then covers the fundamentals of computer programming for problem solving. It devotes separate chapters to data types and operators, control flow, type conversion, arrays, and file operations. The final chapter contains case studies that illustrate particular elements of modeling and visualization. Also included are a number of appendices covering C and Fortran language summaries and other useful topics. This concise and accessible book can be used as a text for introductory-level undergraduate courses on engineering programming or as a self-study guide for practising engineers.

A Guided Tour of Mathematical Methods
  • For the Physical Sciences
  • 2nd edition
  • Roel Snieder
  • Published online:
    05 June 2012
    Print publication:
    23 September 2004
  • Mathematical methods are essential tools for all physical scientists. This second edition provides a comprehensive tour of the mathematical knowledge and techniques that are needed by students in this area. In contrast to more traditional textbooks, all the material is presented in the form of problems. Within these problems the basic mathematical theory and its physical applications are well integrated. The mathematical insights that the student acquires are therefore driven by their physical insight. Topics that are covered include vector calculus, linear algebra, Fourier analysis, scale analysis, complex integration, Green's functions, normal modes, tensor calculus and perturbation theory. The second edition contains new chapters on dimensional analysis, variational calculus, and the asymptotic evaluation of integrals. This book can be used by undergraduates and lower-level graduate students in the physical sciences. It can serve as a stand-alone text, or as a source of problems and examples to complement other textbooks.

Applied Complex Variables for Scientists and Engineers
  • 2nd edition
  • Yue Kuen Kwok
  • Published online:
    05 June 2012
    Print publication:
    24 June 2010
  • This introduction to complex variable methods begins by carefully defining complex numbers and analytic functions, and proceeds to give accounts of complex integration, Taylor series, singularities, residues and mappings. Both algebraic and geometric tools are employed to provide the greatest understanding, with many diagrams illustrating the concepts introduced. The emphasis is laid on understanding the use of methods, rather than on rigorous proofs. Throughout the text, many of the important theoretical results in complex function theory are followed by relevant and vivid examples in physical sciences. This second edition now contains 350 stimulating exercises of high quality, with solutions given to many of them. Material has been updated and additional proofs on some of the important theorems in complex function theory are now included, e.g. the Weierstrass–Casorati theorem. The book is highly suitable for students wishing to learn the elements of complex analysis in an applied context.

A Student's Guide to Fourier Transforms
  • With Applications in Physics and Engineering
  • 2nd edition
  • J. F. James
  • Published online:
    05 June 2012
    Print publication:
    19 September 2002
  • Fourier transform theory is of central importance in a vast range of applications in physical science, engineering, and applied mathematics. This new edition of a successful student text provides a concise introduction to the theory and practice of Fourier transforms, using qualitative arguments wherever possible and avoiding unnecessary mathematics. After a brief description of the basic ideas and theorems, the power of the technique is then illustrated by referring to particular applications in optics, spectroscopy, electronics and telecommunications. The rarely discussed but important field of multi-dimensional Fourier theory is covered, including a description of computer-aided tomography (CAT-scanning). The final chapter discusses digital methods, with particular attention to the fast Fourier transform. Throughout, discussion of these applications is reinforced by the inclusion of worked examples. The book assumes no previous knowledge of the subject, and will be invaluable to students of physics, electrical and electronic engineering, and computer science.

Page 42 of 98