M. Corless's Books

Computational Discovery on Jupyter

By: Neil J. Calkin,Eunice Y. S. Chan,Robert M. Corless

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Computational Discovery on Jupyter

By: Neil J. Calkin,Eunice Y. S. Chan,Robert M. Corless

This book uses Python to teach mathematics not found in the standard curriculum, so students learn a popular programming language as well as some interesting mathematics. Videos, images, programs, programming activities, pencil-and-paper activities, and associated Jupyter Notebooks accompany the text, and readers are encouraged to interact with and extend the material as well as contribute their own notebooks. Indeed, some of the material was created/discovered/invented/published first by the authors’ students. Useful pedagogical features include using an active learning approach with topics not typically found in a standard math curriculum; introducing concepts using programming, not proof, with the goal of preparing readers for the need for proof; and accompanying all activities with a full discussion. Computational Discovery on Jupyter is for upper-level high school and lower-level college students. Graduate students in mathematics will also find it of interest.

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Page Count

416

Publisher

SIAM

Published Date

ISBN 10

1611977509

ISBN 13

9781611977509

Essential Maple 7

An Introduction for Scientific Programmers

By: Robert M. Corless

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Essential Maple 7

An Introduction for Scientific Programmers

By: Robert M. Corless

This book provides an accelerated introduction to Maple for scientific programmers who already have experience in other computer languages (such as C, Pascal, or FORTRAN). It gives an overview of the most commonly used constructs and an elementary introduction to Maple programming. The new edition is substantially updated throughout. In particular, there are new programming features especially modules, nested lexical scopes, documentation features, and object-oriented support), a new solution of differential equations, and new plotting features. Review of Earlier Edition "It is especially nice for people like us, who have done some C and FORTRAN programming in our time, but would like to take better advantage of a tool like Maple. It discusses things of key importance to a scientific programmer and does not go on and on with things you'd never use anyway. The examples are terrific--beyond description. I have informed my colleagues here that this is a must-have..." (Brynjulf Owren, Department of Mathematical Sciences, The Norwegian Institute of Technology)

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Page Count

296

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387215573

ISBN 13

9780387215570

AIMD Dynamics and Distributed Resource Allocation

By: M. Corless,C. King,R. Shorten,F. Wirth

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AIMD Dynamics and Distributed Resource Allocation

By: M. Corless,C. King,R. Shorten,F. Wirth

This is the first comprehensive book on the AIMD algorithm, the most widely used method for allocating a limited resource among competing agents without centralized control. The authors offer a new approach that is based on positive switched linear systems. It is used to develop most of the main results found in the book, and fundamental results on stochastic switched nonnegative and consensus systems are derived to obtain these results. The original and best known application of the algorithm is in the context of congestion control and resource allocation on the Internet, and readers will find details of several variants of the algorithm in order of increasing complexity, including deterministic, random, linear, and nonlinear versions. In each case, stability and convergence results are derived based on unifying principles. Basic and fundamental properties of the algorithm are described, examples are used to illustrate the richness of the resulting dynamical systems, and applications are provided to show how the algorithm can be used in the context of smart cities, intelligent transportation systems, and the smart grid.

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Page Count

230

Publisher

SIAM

Published Date

ISBN 10

1611974216

ISBN 13

9781611974218

Essential Maple

An Introduction for Scientific Programmers

By: Robert M. Corless

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Essential Maple

An Introduction for Scientific Programmers

By: Robert M. Corless

What's in this book This book contains an accelerated introduction to Maple, a computer alge bra language. It is intended for scientific programmers who have experience with other computer languages such as C, FORTRAN, or Pascal. If you wish a longer and more leisurely introduction to Maple, see (8, 27, 39). This book is also intended as a reference summary for people who use Maple infrequently enough so that they forget key commands. Chapter 4 is a keyword summary. This will be useful if you have forgotten the exact Maple command for what you want. This chapter is best accessed through the table of contents, since it is organized by subject matter. The mathematical prerequisites are calculus, linear algebra, and some differential equations. A course in numerical analysis will also help. Any extra mathematics needed will be developed in the book. This book was prepared using Maple V Release 3, although most of the examples will work with, at most, only slight modification in Maple V Release 2. This book does not require any particular hardware. The systems I have used in developing the book are machines running IBM DOS and WIN/OS2, Unix machines in an ASCII terminal mode, and x windows systems. There should be no adjustments necessary for readers equipped with Macintoshes or other hardware. Maple is an evolving system. New features will be described in the documentation for updates (?updates in Maple).

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Page Count

229

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1475739850

ISBN 13

9781475739855

A Graduate Introduction to Numerical Methods

From the Viewpoint of Backward Error Analysis

By: Robert M. Corless,Nicolas Fillion

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A Graduate Introduction to Numerical Methods

From the Viewpoint of Backward Error Analysis

By: Robert M. Corless,Nicolas Fillion

This book provides an extensive introduction to numerical computing from the viewpoint of backward error analysis. The intended audience includes students and researchers in science, engineering and mathematics. The approach taken is somewhat informal owing to the wide variety of backgrounds of the readers, but the central ideas of backward error and sensitivity (conditioning) are systematically emphasized. The book is divided into four parts: Part I provides the background preliminaries including floating-point arithmetic, polynomials and computer evaluation of functions; Part II covers numerical linear algebra; Part III covers interpolation, the FFT and quadrature; and Part IV covers numerical solutions of differential equations including initial-value problems, boundary-value problems, delay differential equations and a brief chapter on partial differential equations. The book contains detailed illustrations, chapter summaries and a variety of exercises as well some Matlab codes provided online as supplementary material. “I really like the focus on backward error analysis and condition. This is novel in a textbook and a practical approach that will bring welcome attention." Lawrence F. Shampine A Graduate Introduction to Numerical Methods and Backward Error Analysis” has been selected by Computing Reviews as a notable book in computing in 2013. Computing Reviews Best of 2013 list consists of book and article nominations from reviewers, CR category editors, the editors-in-chief of journals, and others in the computing community.

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Page Count

896

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461484537

ISBN 13

9781461484530

Book's by M. Corless

Computational Discovery on Jupyter

Computational Discovery on Jupyter

Essential Maple 7

Essential Maple 7

AIMD Dynamics and Distributed Resource Allocation

AIMD Dynamics and Distributed Resource Allocation

Essential Maple

Essential Maple

A Graduate Introduction to Numerical Methods

A Graduate Introduction to Numerical Methods

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