Advanced Mathematical Methods with Maple

Author: Derek Richards

Publisher: Cambridge University Press

ISBN: 9780521779814

Category: Computers

Page: 862

View: 719

A user-friendly student guide to computer-assisted algebra with mathematical software packages such as Maple.

A Short Course in Mathematical Methods with Maple

Author: Henrik Aratyn,Constantin Rasinariu

Publisher: World Scientific

ISBN: 9812564616

Category: Mathematics

Page: 700

View: 2682

This unique book provides a streamlined, self-contained and modern text for a one-semester mathematical methods course with an emphasis on concepts important from the application point of view. Part I of this book follows the ?paper and pencil? presentation of mathematical methods that emphasizes fundamental understanding and geometrical intuition. In addition to a complete list of standard subjects, it introduces important, contemporary topics like nonlinear differential equations, chaos and solitons. Part II employs the Maple software to cover the same topics as in Part I in a computer oriented approach to instruction. Using Maple liberates students from laborious tasks while helping them to concentrate entirely on concepts and on better visualizing the mathematical content. The focus of the text is on key ideas and basic technical and geometric insights presented in a way that closely reflects how physicists and engineers actually think about mathematics.

Applied Complex Variables

Author: John W. Dettman

Publisher: Courier Corporation

ISBN: 0486158284

Category: Mathematics

Page: 512

View: 5132

Fundamentals of analytic function theory — plus lucid exposition of 5 important applications: potential theory, ordinary differential equations, Fourier transforms, Laplace transforms, and asymptotic expansions. Includes 66 figures.

Mathematical Methods for Physicists

Author: George B. Arfken,Hans J. Weber

Publisher: Academic Press

ISBN: 1483288064

Category: Science

Page: 1029

View: 9242

This new and completely revised Fourth Edition provides thorough coverage of the important mathematics needed for upper-division and graduate study in physics and engineering. Following more than 28 years of successful class-testing, Mathematical Methods for Physicists is considered the standard text on the subject. A new chapter on nonlinear methods and chaos is included, as are revisions of the differential equations and complex variables chapters. The entire book has been made even more accessible, with special attention given to clarity, completeness, and physical motivation. It is an excellent reference apart from its course use. This revised Fourth Edition includes: Modernized terminology Group theoretic methods brought together and expanded in a new chapter An entirely new chapter on nonlinear mathematical physics Significant revisions of the differential equations and complex variables chapters Many new or improved exercises Forty new or improved figures An update of computational techniques for today's contemporary tools, such as microcomputers, Numerical Recipes, and Mathematica(r), among others

Nonlinear Ordinary Differential Equations

An Introduction for Scientists and Engineers

Author: Dominic Jordan,Peter Smith

Publisher: Oxford University Press on Demand

ISBN: 0199208247

Category: Mathematics

Page: 531

View: 6984

Thoroughly updated and expanded 4th edition of the classic text, including numerous worked examples, diagrams and exercises. An ideal resource for students and lecturers in engineering, mathematics and the sciences it is published alongside a separate Problems and Solutions Sourcebook containing over 500 problems and fully-worked solutions.

Evidence-based Dentistry

Managing Information for Better Practice

Author: Derek Rich

Publisher: Createspace Independent Publishing Platform

ISBN: 9781973848967


Page: 64

View: 2035

Evidence-Based Dentistry: Managing Information for Better Practice By Derek Rich

Fractal Geometry

Mathematical Foundations and Applications

Author: Kenneth Falconer

Publisher: John Wiley & Sons

ISBN: 111876286X

Category: Mathematics

Page: 400

View: 3564

The seminal text on fractal geometry for students and researchers: extensively revised and updated with new material, notes and references that reflect recent directions. Interest in fractal geometry continues to grow rapidly, both as a subject that is fascinating in its own right and as a concept that is central to many areas of mathematics, science and scientific research. Since its initial publication in 1990 Fractal Geometry: Mathematical Foundations and Applications has become a seminal text on the mathematics of fractals. The book introduces and develops the general theory and applications of fractals in a way that is accessible to students and researchers from a wide range of disciplines. Fractal Geometry: Mathematical Foundations and Applications is an excellent course book for undergraduate and graduate students studying fractal geometry, with suggestions for material appropriate for a first course indicated. The book also provides an invaluable foundation and reference for researchers who encounter fractals not only in mathematics but also in other areas across physics, engineering and the applied sciences. Provides a comprehensive and accessible introduction to the mathematical theory and applications of fractals Carefully explains each topic using illustrative examples and diagrams Includes the necessary mathematical background material, along with notes and references to enable the reader to pursue individual topics Features a wide range of exercises, enabling readers to consolidate their understanding Supported by a website with solutions to exercises and additional material Leads onto the more advanced sequel Techniques in Fractal Geometry (also by Kenneth Falconer and available from Wiley)

A Practical Guide to Splines

Author: Carl de Boor

Publisher: Springer

ISBN: 0387953663

Category: Mathematics

Page: 348

View: 9385

This book is based on the author’s experience with calculations involving polynomial splines, presenting those parts of the theory especially useful in calculations and stressing the representation of splines as weighted sums of B-splines. The B-spline theory is developed directly from the recurrence relations without recourse to divided differences. This reprint includes redrawn figures, and most formal statements are accompanied by proofs.

Introduction to Maple

Author: Andre HECK

Publisher: Springer Science & Business Media

ISBN: 1468404849

Category: Mathematics

Page: 699

View: 2512

A fully revised, second edition of the best-selling Introduction to Maple, now compatible through Maple V Release 4. It shows not only what can be done by Maple, but also how it can be done. Emphasis is on understanding the Maple system more than on factual knowledge of built-in possibilities, and, to this end, the book contains both elementary and more sophisticated examples and many exercises. Numerous new examples have been added to show how to use Maple as a problem solver, how to assist the system during computations, and how to extend its built-in facilities. Introduction to Maple is not simply a readable manual, but also provides the necessary background for those wanting to extend the built-in knowledge of Maple by implementing new algorithms. Readers should have a background in mathematics higher than beginner level.

Advanced Engineering Mathematics

Author: Robert J. Lopez

Publisher: Addison Wesley

ISBN: 9780201380736

Category: Mathematics

Page: 1158

View: 735

This innovative text was written for the one or two-semester, sophomore/junior level advanced maths course for engineers. It was built from the ground up using a Computer Algebra System, offering the student opportunities to visualize and experience the maths at every turn. The text has been designed to accommodate a variety of teaching styles, and varying levels on technology integration. It has a logical arrangement with many short self-contained sections, and many real-world applications of interest to engineering students. Chapter Introductions and Chapter Summaries help to make the material more accessible, and Chapter Review Exercises provides constant checks along the way. *A CD-ROM is included in the back of every book, which contains Maple worksheets. The Maple worksheets are fully integrated with the books content, and provide a great resource for students when working on exercise sections. The CD-ROM allows the instructor and the student to take full advantage of what the text has to offer. *Logical arrangement with many short self-contained sections. *Exercises are divided into two sections: those designed to be computed by hand (A exercises), and those to be computed w

Advanced Engineering Mathematics

Author: Erwin Kreyszig

Publisher: John Wiley & Sons

ISBN: 0470458364

Category: Mathematics

Page: 1264

View: 4492

The tenth edition of this bestselling text includes examples in more detail and more applied exercises; both changes are aimed at making the material more relevant and accessible to readers. Kreyszig introduces engineers and computer scientists to advanced math topics as they relate to practical problems. It goes into the following topics at great depth differential equations, partial differential equations, Fourier analysis, vector analysis, complex analysis, and linear algebra/differential equations.

Concrete Mathematics

A Foundation for Computer Science

Author: Ronald L. Graham,Donald Ervin Knuth,Oren Patashnik

Publisher: Addison-Wesley Professional

ISBN: 9780201558029

Category: Computers

Page: 657

View: 9246

This book, updated and improved, introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills--the skills needed to solve complex problems, to evaluate horrendous-looking sums, to solve complex recurrence relations, and to discover subtle patterns in data. It is an indispensable text and reference, not only for computer scientists but for all technical professionals in virtually every discipline.

Dynamical Systems with Applications Using Mathematica®

Author: Stephen Lynch

Publisher: Birkhäuser

ISBN: 3319614851

Category: Mathematics

Page: 585

View: 6549

This book provides an introduction to the theory of dynamical systems with the aid of the Mathematica® computer algebra package. The book has a very hands-on approach and takes the reader from basic theory to recently published research material. Emphasized throughout are numerous applications to biology, chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics, population dynamics, and neural networks. Theorems and proofs are kept to a minimum. The first section deals with continuous systems using ordinary differential equations, while the second part is devoted to the study of discrete dynamical systems.

Advanced Engineering Mathematics

Author: Merle C. Potter,Jack Leonard Goldberg,Edward Aboufadel

Publisher: Oxford University Press, USA

ISBN: 9780195160185

Category: Technology & Engineering

Page: 739

View: 6526

This is a textbook for students in departments of Aerospace, Electrical, and Mechanical Engineering, taking a course called Advanced Engineering Mathematics, Engineering Analysis, or Mathematics of Engineering. This text focuses on mathematical methods that are necessary for solving engineering problems. In addition to topics covered by competition, this book integrates the numerical computation programs MATLAB, Excel and Maple.New to this edition: Introduction of Maple, MATLAB, or Excel into each section and into problem sets New chapter on wavelets added

Engineering Mathematics with Examples and Applications

Author: Xin-She Yang

Publisher: Academic Press

ISBN: 012809902X

Category: Mathematics

Page: 400

View: 2827

Engineering Mathematics with Examples and Applications provides a compact and concise primer in the field, starting with the foundations, and then gradually developing to the advanced level of mathematics that is necessary for all engineering disciplines. Therefore, this book's aim is to help undergraduates rapidly develop the fundamental knowledge of engineering mathematics. The book can also be used by graduates to review and refresh their mathematical skills. Step-by-step worked examples will help the students gain more insights and build sufficient confidence in engineering mathematics and problem-solving. The main approach and style of this book is informal, theorem-free, and practical. By using an informal and theorem-free approach, all fundamental mathematics topics required for engineering are covered, and readers can gain such basic knowledge of all important topics without worrying about rigorous (often boring) proofs. Certain rigorous proof and derivatives are presented in an informal way by direct, straightforward mathematical operations and calculations, giving students the same level of fundamental knowledge without any tedious steps. In addition, this practical approach provides over 100 worked examples so that students can see how each step of mathematical problems can be derived without any gap or jump in steps. Thus, readers can build their understanding and mathematical confidence gradually and in a step-by-step manner. Covers fundamental engineering topics that are presented at the right level, without worry of rigorous proofs Includes step-by-step worked examples (of which 100+ feature in the work) Provides an emphasis on numerical methods, such as root-finding algorithms, numerical integration, and numerical methods of differential equations Balances theory and practice to aid in practical problem-solving in various contexts and applications

Peering into Mathematics through Sage-colored Glasses

Author: John Perry,John Harris,Karen Kohl


ISBN: 1365458253

Category: Education

Page: 302

View: 5071

Technology has become an indispensable aspect of most mathematics education. This is a full-color textbook, abundant with graphics, algorithms, and assignments, that both introduces Sage, a free, open-source computer algebra system, and reinforces important mathematical ideas of undergraduate mathematics, including some that a transitioning student will not yet have seen. This book should be useful for any situation where an individual is moving from "high school" mathematics, in which we include basic calculus, to "university" mathematics, which includes intermediate calculus and a lot of stuff besides, and is willing to experiment with a computer.

MATLAB Guide, Third Edition

Author: Desmond J. Higham,Nicholas J. Higham

Publisher: SIAM

ISBN: 1611974666

Category: Science

Page: 476

View: 8072

MATLAB is an interactive system for numerical computation that is widely used for teaching and research in industry and academia. It provides a modern programming language and problem solving environment, with powerful data structures, customizable graphics, and easy-to-use editing and debugging tools. This third edition of MATLAB Guide completely revises and updates the best-selling second edition and is more than 30 percent longer. The book remains a lively, concise introduction to the most popular and important features of MATLAB and the Symbolic Math Toolbox. Key features are a tutorial in Chapter 1 that gives a hands-on overview of MATLAB; a thorough treatment of MATLAB mathematics, including the linear algebra and numerical analysis functions and the differential equation solvers; and a web page at that provides example program files, updates, and links to MATLAB resources. The new edition contains color figures throughout; includes pithy discussions of related topics in new ?Asides" boxes that augment the text; has new chapters on the Parallel Computing Toolbox, object-oriented programming, graphs, and large data sets; covers important new MATLAB data types such as categorical arrays, string arrays, tall arrays, tables, and timetables; contains more on MATLAB workflow, including the Live Editor and unit tests; and fully reflects major updates to the MATLAB graphics system. This book is suitable for both beginners and more experienced users, including students, researchers, and practitioners.

Essential Statistical Inference

Theory and Methods

Author: Dennis D. Boos,L A Stefanski

Publisher: Springer Science & Business Media

ISBN: 1461448182

Category: Mathematics

Page: 568

View: 6031

​This book is for students and researchers who have had a first year graduate level mathematical statistics course. It covers classical likelihood, Bayesian, and permutation inference; an introduction to basic asymptotic distribution theory; and modern topics like M-estimation, the jackknife, and the bootstrap. R code is woven throughout the text, and there are a large number of examples and problems. An important goal has been to make the topics accessible to a wide audience, with little overt reliance on measure theory. A typical semester course consists of Chapters 1-6 (likelihood-based estimation and testing, Bayesian inference, basic asymptotic results) plus selections from M-estimation and related testing and resampling methodology. Dennis Boos and Len Stefanski are professors in the Department of Statistics at North Carolina State. Their research has been eclectic, often with a robustness angle, although Stefanski is also known for research concentrated on measurement error, including a co-authored book on non-linear measurement error models. In recent years the authors have jointly worked on variable selection methods. ​

Mathematics for Physics

Author: Michael M. Woolfson,Malcolm S. Woolfson

Publisher: Oxford University Press

ISBN: 9780199289295

Category: Mathematics

Page: 783

View: 9008

Mathematics is the essential language of science. It enables us to describe abstract physical concepts, and to apply these concepts in practical ways. Yet mathematical skills and concepts are an aspect of physics that many students fear the most. Mathematics for Physics recognizes the challenges faced by students in equipping themselves with the maths skills necessary to gain a full understanding of physics. Working from basic yet fundamental principles, the book builds the students' confidence by leading them through the subject in a steady, progressive way. As its primary aim, Mathematics for Physics shows the relevance of mathematics to the study of physics. Its unique approach demonstrates the application of mathematical concepts alongside the development of the mathematical theory. This stimulating and motivating approach helps students to master the maths and see its application in the context of physics in one seamless learning experience. Mathematics is a subject mastered most readily through active learning. Mathematics for Physics features both print and online support, with many in-text exercises and end-of-chapter problems, and web-based computer programs, to both stimulate learning and build understanding. Mathematics for Physics is the perfect introduction to the essential mathematical concepts which all physics students should master. Online Resource Centre: For lecturers: Figures from the book available to download, to facilitate lecture preparation For students: 23 computer programs, coded in FORTRAN, C, and MATLAB, to enable students to investigate and solve a range of problems - from the behaviour of clusters of stars to the design of nuclear reactors - and hence make learning as effective and engaging as possible.

The Official SAT Study Guide

Author: College Entrance Examination Board,The College Board

Publisher: The College Board

ISBN: 0874478529

Category: Study Aids

Page: 1100

View: 6657

Offers test-taking strategies for the SAT, discussing each section and providing ten full-length tests, hundreds of practice questions, detailed reviews, a list of online resources, and coverage of the PSAT/NMSQT.