Articles by "Maths"

Showing posts with label Maths. Show all posts

George A. Anastassiou, Iuliana F. Iatan ... 582 pages - Publisher: Springer; (July, 2012) ... Language: English - ISBN-10: 3642284744 - ISBN-13: 978-3642284748 ... 

Real Analysis is a discipline of intensive study in many institutions of higher education, because it contains useful concepts and fundamental results in the study of mathematics and physics, of the technical disciplines and geometry. This book is the first one of its kind that solves mathematical analysis problems with all four related main software Matlab, Mathcad, Mathematica and Maple. Besides the fundamental theoretical notions, the book contains many exercises, solved both mathematically and by computer, using: Matlab 7.9, Mathcad 14, Mathematica 8 or Maple 15 programming languages. The book is divided into nine chapters, which illustrate the application of the mathematical concepts using the computer. Each chapter presents the fundamental concepts and the elements required to solve the problems contained in that chapter and finishes with some problems left to be solved by the readers. The calculations can be verified by using a specific software such as Matlab, Mathcad, Mathematica or Maple.

Eric W. Hansen ... 776 pages - Publisher: Wiley; 1st edition (September, 2014) - Language: English - ISBN-10: 1118479149 - ISBN-13: 978-1118479148 ...

This book explains transform methods and their applications to electrical systems from circuits, antennas, and signal processors—ably guiding readers from vector space concepts through the Discrete Fourier Transform (DFT), Fourier series, and Fourier transform to other related transform methods. Featuring chapter end summaries of key results, over two hundred examples and four hundred homework problems, and a Solutions Manual this book is perfect for graduate students in signal processing and communications as well as practicing engineers. Class-tested at Dartmouth - Provides the same solid background as classic texts in the field, but with an emphasis on digital and other contemporary applications to signal and image processing - Modular coverage of material allows for topics to be covered by preference - MATLAB files and Solutions Manual available to instructors - Over 300 figures, 200 worked examples, and 432 homework problems.

Andre Heck ... 828 pages - Publisher: Springer; 3rd edition (April, 2003) ... Language: English - ISBN-10: 0387002308 - ISBN-13: 978-0387002309 ...

The fully revised edition of this best-selling title presents the modern computer algebra system Maple. It teaches the reader not only what can be done by Maple but also how and why it can be done. It provides the necessary background for those who want the most of Maple or want to extend its built-in knowledge, and it includes both elementary and more sophisticated examples as well as many exercises.

Walter Gander, Martin J. Gander, Felix Kwok ... 905 pages - Publisher: Springer; (April, 2014) ... Language: English - ISBN-10: 3319043242 - ISBN-13: 978-3319043241 ...

Scientific computing is the study of how to use computers effectively to solve problems that arise from the mathematical modeling of phenomena in science and engineering. It is based on mathematics, numerical and symbolic/algebraic computations and visualization. This book serves as an introduction to both the theory and practice of scientific computing, with each chapter presenting the basic algorithms that serve as the workhorses of many scientific codes; we explain both the theory behind these algorithms and how they must be implemented in order to work reliably in finite-precision arithmetic. The book includes many programs written in Matlab and Maple – Maple is often used to derive numerical algorithms, whereas Matlab is used to implement them. The theory is developed in such a way that students can learn by themselves as they work through the text. Each chapter contains numerous examples and problems to help readers understand the material “hands-on”.

Alfio Quarteroni, Fausto Saleri ... 450 pages - Publisher: Springer; 4th edition (August, 2016) ... Language: English - ISBN-10: 3662517582 - ISBN-13: 978-3662517581 ...

This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer-based solution of certain classes of mathematical problems are illustrated. The authors show how to compute the zeros, the extrema, and the integrals of continuous functions, solve linear systems, approximate functions using polynomials and construct accurate approximations for the solution of ordinary and partial differential equations. To make the format concrete and appealing, the programming environments Matlab and Octave are adopted as faithful companions. The book contains the solutions to several problems posed in exercises and examples, often originating from important applications. At the end of each chapter, a specific section is devoted to subjects which were not addressed in the book and contains bibliographical references for a more comprehensive treatment of the material.

Pamela W. Adams, K. Smith, Rudolf Vyborny ... 544 pages - Publisher: Wspc; (June, 2004) - Language: English - ISBN-10: 9812560092 - ISBN-13: 978-9812560094 ...

The principal aim of this book is to introduce university level mathematics - both algebra and calculus. The text is suitable for first and second year students. It treats the material in depth, and thus can also be of interest to beginning graduate students. New concepts are motivated before being introduced through rigorous definitions. All theorems are proved and great care is taken over the logical structure of the material presented. To facilitate understanding, a large number of diagrams are included. Most of the material is presented in the traditional way, but an innovative approach is taken with emphasis on the use of Maple and in presenting a modern theory of integration. To help readers with their own use of this software, a list of Maple commands employed in the book is provided. The book advocates the use of computers in mathematics in general, and in pure mathematics in particular. It makes the point that results need not be correct just because they come from the computer. A careful and critical approach to using computer algebra systems persists throughout the text.

Jonathan M. Borwein, Matthew P. Skerritt ... 216 pages - Publisher: Springer; (July, 2011) ... Language: English - ISBN-10: 1461401216 - ISBN-13: 978-1461401216 ...

Thirty years ago mathematical, as opposed to applied numerical, computation was difficult to perform and so relatively little used. Three threads changed that: the emergence of the personal computer; the discovery of fiber-optics and the consequent development of the modern internet; and the building of the Three “M’s” Maple, Mathematica and Matlab. We intend to persuade that Maple and other like tools are worth knowing assuming only that one wishes to be a mathematician, a mathematics educator, a computer scientist, an engineer or scientist, or anyone else who wishes/needs to use mathematics better. We also hope to explain how to become an `experimental mathematician' while learning to be better at proving things. To accomplish this our material is divided into three main chapters followed by a postscript. These cover elementary number theory, calculus of one and several variables, introductory linear algebra, and visualization and interactive geometric computation.

Jiří Gregor, Jaroslav Tišer ... 247 pages - Publisher: Springer; (December, 2010) ... Language: English - ISBN-10: 0857290541 - ISBN-13: 978-0857290540 ...

The book contains chapters of structured approach to problem solving in mathematical analysis on an intermediate level. It follows the ideas of G.Polya and others, distinguishing between exercises and problem solving in mathematics. Interrelated concepts are connected by hyperlinks, pointing toward easier or more difficult problems so as to show paths of mathematical reasoning. Basic definitions and theorems can also be found by hyperlinks from relevant places. Problems are open to alternative formulations, generalizations, simplifications, and verification of hypotheses by the reader; this is shown to be helpful in solving problems. The book presents how advanced mathematical software can aid all stages of mathematical reasoning while the mathematical content remains in foreground. The authors show how software can contribute to deeper understanding and to enlarging the scope of teaching for students and teachers of mathematics. Discovering Mathematics: A Problem-Solving Approach to Analysis with Mathematica and Maple provides a constructive approach to mathematical discovery through innovative use of software technology. Interactive Mathematica and Maple notebooks are integral to this books’ utility as a practical tool for learning. Interrelated concepts, definitions and theorems are connected through hyperlinks, guiding the reader to a variety of structured problems and highlighting multiple avenues of mathematical reasoning. Interactivity is further enhanced through the delivery of online content (available at extras.springer.com), demonstrating the use of software and in turn increasing the scope of learning for both students and teachers and contributing to a deeper mathematical understanding. This book will appeal to both final year undergraduate and post-graduate students wishing to supplement a mathematics course or module in mathematical problem-solving and analysis. It will also be of use as complementary reading for students of engineering or science, and those in self-study.

Inna K. Shingareva, Carlos Lizárraga-Celaya ... 484 pages - Publisher: Springer; 2nd edition (August, 2009) ...  Language: English - ASIN: B00FBVFPTE by Amazon Digital Services ...

The first book to compare the main two computer algebra systems (CAS), Maple and Mathematica used by students, mathematicians, scientists, and engineers. Both systems are presented in parallel so that Mathematica users can learn Maple quickly by finding the Maple equivalent to Mathematica functions, and vice versa. This student reference handbook consists of core material for incorporating Maple and Mathematica as a working tool into different undergraduate mathematical courses (abstract and linear algebra, geometry, calculus and analysis, complex functions, special functions, integral and discrete transforms, algebraic and transcendental equations, ordinary and partial differential equations, integral equations, numerical analysis and scientific computing). The book also contains applications from various areas of mathematics, physics, and music theory and can be useful for graduate students, professors, and researchers in science and engineering. One of the goals of this book is to develop problem-solving skills (that are most useful for solving sophisticated research problems) finding solutions with Maple and Mathematica and not to depend on a specific version of both systems (Maple 12 and Mathematica 6 and 7 are considered). Part I, describes the foundations of Maple and Mathematica (with equivalent problems and solutions). Part II, describes Mathematics with Maple and Mathematica by using equivalent problems. Finally, this book is ideal for scientists who want to corroborate their Maple and Mathematica work with independent verification provided by another CAS.

Ian Thompson ... 235 pages - Publisher: Cambridge Univ. Press; 1st edition (November, 2016) ... Language: English - ISBN-10: 1316628140 - ISBN-13: 978-1316628140 ...

Maple is a powerful symbolic computation system that is widely used in universities around the world. This short introduction gives readers an insight into the rules that control how the system works, and how to understand, fix, and avoid common problems. Topics covered include algebra, calculus, linear algebra, graphics, programming, and procedures. Each chapter contains numerous illustrative examples, using mathematics that does not extend beyond first-year undergraduate material. Maple worksheets containing these examples are available for download from the author's personal website. The book is suitable for new users, but where advanced topics are central to understanding Maple they are tackled head-on. Many concepts which are absent from introductory books and manuals are described in detail. With this book, students, teachers and researchers will gain a solid understanding of Maple and how to use it to solve complex mathematical problems in a simple and efficient way.

Douglas B. Meade, S. J. M. May, C-K. Cheung, G. E. Keough ... 220 pages - Publisher: Wiley; 3rd edition (March, 2009) ... Language: English - ISBN-10: 0470455543 - ISBN-13: 978-0470455548 ...

The purpose of this guide is to give a quick introduction on how to use Maple. It primarily covers Maple 12, although most of the guide will work with earlier versions of Maple. Also, throughout this guide, we will be suggesting tips and diagnosing common problems that users are likely to encounter. This should make the learning process smoother. This guide is designed as a self-study tutorial to learn Maple. Our emphasis is on getting you quickly up to speed. This guide can also be used as a supplement (or reference) for students taking a mathematics (or science) course that requires use of Maple, such as Calculus, Multivariable Calculus, Advanced Calculus, Linear Algebra, Discrete Mathematics, Modeling, or Statistics.

Ga Zhang, Pengcheng Fu, Fayun Liang ... Journal of Applied Mathematics - 318 pages (October, 2013) ...

Mathematical and numerical modeling is a mature yet vibrant research area in geotechnical engineering. Its advancement has been accelerated in recent years by many emerging computational techniques as well as the increasing availability of computational power. A wide spectrum of approaches, on the basis of continuously advancing understanding of soil behavior, has been developed and applied to solve various problems in geotechnical engineering. These methods are increasingly playing important roles not only in achieving better understanding of fundamental behavior of geomaterials and geostructures but also in ensuring the safety and sustainability of large-scale complex geoengineering projects. The aim of this special issue is to present original research articles on mathematical and numerical modeling in geotechnical engineering. A total of 26 high-quality peer-reviewed papers were selected to be published in this special issue. The topics cover various aspects as follows: (1) Development and discussion of constitutive models of geomaterials including unsaturated soil, granular, rockfill, joint rock mass, and soil-structure interface. (2) Proposal of analytical solutions to soil-structure interaction systems. (3) Development of numerical methods to evaluate response of retaining wall, pile foundation. (4) Novel applications of mathematical and numerical modeling to practical geotechnical projects such as pile foundations, soil nails, mining, joint rock mass, rock grouting, rockfill dams, and arc dams. These papers are expected to be helpful references for all those in the field of mathematical and numerical modeling in geotechnical engineering.

David Reeping, Kenneth Reid ... 232 pages - Publisher: Momentum Press; (November, 2016) ... Language: English - ASIN: B01N7D6B3P by Amazon Digital Services ...

This text serves as a concise introduction to the ocean of information collectively known as “Engineering Mathematics.” Admittedly, compiling everything into a short book that is useful to any audience is an impossible task; therefore, we picked a few main ideas holding up the mathematics within the engineering curriculum instead of stuffing all of the details into such a small package. This text addresses conceptual understanding as often as possible by providing an intuitive basis for formalized study within engineering/mathematics. Whether you are a math or science instructor tasked to teach an engineering class, a high school student looking into engineering, or an engineering student already, we hope you are able to walk away from this text with tangible outcomes—maybe even a refined perspective on the subject.

John Bird ... 924 pages - Publisher: Routledge; 8th edition (March, 2017) ... Language: English - ISBN-10: 1138673579 - ISBN-13: 978-1138673571 ...

Now in its eighth edition, Higher Engineering Mathematics has helped thousands of students succeed in their exams. Theory is kept to a minimum, with the emphasis firmly placed on problem-solving skills, making this a thoroughly practical introduction to the advanced engineering mathematics that students need to master. The extensive and thorough topic coverage makes this an ideal text for upper-level vocational courses and for undergraduate degree courses. It is also supported by a fully updated companion website with resources for both students and lecturers. It has full solutions to all 2,000 further questions contained in the 277 practice exercises.

Minitab 18.1.0 [Size: 136 MB] ... Smart Data Import: Easily correct for case mismatches, properly represent missing data, remove extra spaces, and make column lengths equal when importing data from Excel and other file types. Automatic Graph Updating: Graphs and control charts update automatically when you add or edit data so you never have to worry about keeping your graphs in sync. Seamless Data Manipulation: Explore your data right in the worksheet. Format columns to instantly identify and subset the most frequent values, outliers, out-of-spec measurements, and more. Effortless Presentations: Export graphs and output directly to Microsoft Word or PowerPoint to easily create presentations and share your results with colleagues.

Michael Sullivan III ... 960 pages - Publisher: Pearson; 5th edition (January, 2016) ... Language: English - ISBN-10: 0134133536 - ISBN-13: 978-0134133539 ...

Statistics: Informed Decisions Using Data, Fifth Edition, gives students the tools to see a bigger picture and make informed choices. As a current introductory statistics instructor, Mike Sullivan III presents a text that is filled with ideas and strategies that work in today’s classroom. His practical emphasis resonates with students and helps them see that statistics is connected, not only to individual concepts, but also with the world at large. MyStatLab for this edition takes advantage of data analytics to add additional exercises to high usage chapters. New Technology Support Videos show the author demonstrating easy-to-follow steps to solve a problem in several different formats–by hand, TI-84, and StatCrunch. Also available with MyStatLab: MyStatLab from Pearson is the world’s leading online resource for teaching and learning statistics; it integrates interactive homework, assessment, and media in a flexible, easy-to-use format. MyStatLab is a course management system that helps individual students succeed. It provides engaging experiences that personalize, stimulate, and measure learning for each student. Tools are embedded to make it easy to integrate statistical software into the course. And, it comes from an experienced partner with educational expertise and an eye on the future.

Dani Ben-Zvi, Katie Makar ... 334 pages - Publisher: Springer; 1st edition (January, 2016) ... Language: English - ISBN-10: 3319234692 - ISBN-13: 978-3319234694 ...

This book presents the breadth and diversity of empirical and practical work done on statistics education around the world. A wide range of methods are used to respond to the research questions that form it's base. Case studies of single students or teachers aimed at understanding reasoning processes, large-scale experimental studies attempting to generalize trends in the teaching and learning of statistics are both employed. Various epistemological stances are described and utilized. The teaching and learning of statistics is presented in multiple contexts in the book. These include designed settings for young children, students in formal schooling, tertiary level students, vocational schools, and teacher professional development. A diversity is evident also in the choices of what to teach (curriculum), when to teach (learning trajectory), how to teach (pedagogy), how to demonstrate evidence of learning (assessment) and what challenges teachers and students face when they solve statistical problems (reasoning and thinking).

Kalimuthu Krishnamoorthy ... 424 pages - Publisher: Chapman and Hall/CRC; 2nd edition (October, 2015) ... Language: English - ISBN-10: 1498741495 - ISBN-13: 978-1498741491 ...

Handbook of Statistical Distributions with Applications, Second Edition provides quick access to common and specialized probability distributions for modeling practical problems and performing statistical calculations. Along with many new examples and results, this edition includes both the author’s StatCalc software and R codes to accurately and easily carry out computations. New to the Second Edition: Major changes in binomial, Poisson, normal, gamma, Weibull, exponential, logistic, Laplace, and Pareto distributions * Updated statistical tests and intervals based on recent publications in statistical journals * Enhanced PC calculator StatCalc with electronic help manuals * R functions for cases where StatCalc is not applicable, with the codes available online. This highly praised handbook integrates popular probability distribution models, formulas, applications, and software to help you compute a variety of statistical intervals. It covers probability and percentiles, algorithms for random number generation, hypothesis tests, confidence intervals, tolerance intervals, prediction intervals, sample size determination, and much more.

Leonid Burstein ... 279 pages - Publisher: Bentham Science; (2013) ... Language: English - ISBN-13: 978-1608058051.

This e-book provides readers a short introductory MATLAB course oriented towards various collaborative areas of biotechnology and bioscience. The text concentrates on MATLAB fundamentals and gives examples of its application to various problems in computational biology, molecular biology, biokinetics, biomedicine, bioinformatics, and biotechnology. MATLAB is presented with examples and applications to various school-level and advanced life science / bioengineering problems - from growing populations of microorganisms and population dynamics, reaction kinetics and reagent concentrations, predator-prey models, to data fitting and time series analysis.

The book is divided into 7 chapters containing material carefully selected and tailored to teaching several groups of biotechnology students. The topics are presented in a manner that allows readers to proceed sequentially on the strength of the preceding material. Primary MATLAB® for Life Sciences: A Guide for Beginners is essentially a concise and comprehensive text that provides an easy grasp and to-the-point access to the MATLAB tool to the community of life sciences and bio-engineering undergraduates and specialists.

Alan Agresti, Christine Franklin ... 816 pages - Publisher: Pearson; 4th edition (January, 2016) ... Language: English - ISBN-10: 0321997832 - ISBN-13: 978-0321997838 ...

The Art and Science of Learning from Data: Statistics: The Art and Science of Learning from Data, Fourth Edition, takes a conceptual approach, helping students understand what statistics is about and learning the right questions to ask when analyzing data, rather than just memorizing procedures. This book takes the ideas that have turned statistics into a central science in modern life and makes them accessible, without compromising the necessary rigor. Students will enjoy reading this book, and will stay engaged with its wide variety of real-world data in the examples and exercises. The authors believe that it’s important for students to learn and analyze both quantitative and categorical data. As a result, the text pays greater attention to the analysis of proportions than many other introductory statistics texts. Concepts are introduced first with categorical data, and then with quantitative data.

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