Allan C. Peterson's Books

Difference Equations

An Introduction with Applications

By: Walter G. Kelley,Allan C. Peterson

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Difference Equations

An Introduction with Applications

By: Walter G. Kelley,Allan C. Peterson

Difference Equations, Second Edition, presents a practical introduction to this important field of solutions for engineering and the physical sciences. Topic coverage includes numerical analysis, numerical methods, differential equations, combinatorics and discrete modeling. A hallmark of this revision is the diverse application to many subfields of mathematics. Phase plane analysis for systems of two linear equations Use of equations of variation to approximate solutions Fundamental matrices and Floquet theory for periodic systems LaSalle invariance theorem Additional applications: secant line method, Bison problem, juvenile-adult population model, probability theory Appendix on the use of Mathematica for analyzing difference equaitons Exponential generating functions Many new examples and exercises

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Page Count

418

Publisher

Academic Press

Published Date

ISBN 10

012403330X

ISBN 13

9780124033306

The Theory of Differential Equations

Classical and Qualitative

By: Walter G. Kelley,Allan C. Peterson

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The Theory of Differential Equations

Classical and Qualitative

By: Walter G. Kelley,Allan C. Peterson

For over 300 years, differential equations have served as an essential tool for describing and analyzing problems in many scientific disciplines. This carefully-written textbook provides an introduction to many of the important topics associated with ordinary differential equations. Unlike most textbooks on the subject, this text includes nonstandard topics such as perturbation methods and differential equations and Mathematica. In addition to the nonstandard topics, this text also contains contemporary material in the area as well as its classical topics. This second edition is updated to be compatible with Mathematica, version 7.0. It also provides 81 additional exercises, a new section in Chapter 1 on the generalized logistic equation, an additional theorem in Chapter 2 concerning fundamental matrices, and many more other enhancements to the first edition. This book can be used either for a second course in ordinary differential equations or as an introductory course for well-prepared students. The prerequisites for this book are three semesters of calculus and a course in linear algebra, although the needed concepts from linear algebra are introduced along with examples in the book. An undergraduate course in analysis is needed for the more theoretical subjects covered in the final two chapters.

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Page Count

434

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1441957839

ISBN 13

9781441957832

Discrete Fractional Calculus

By: Christopher Goodrich,Allan C. Peterson

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Discrete Fractional Calculus

By: Christopher Goodrich,Allan C. Peterson

This text provides the first comprehensive treatment of the discrete fractional calculus. Experienced researchers will find the text useful as a reference for discrete fractional calculus and topics of current interest. Students who are interested in learning about discrete fractional calculus will find this text to provide a useful starting point. Several exercises are offered at the end of each chapter and select answers have been provided at the end of the book. The presentation of the content is designed to give ample flexibility for potential use in a myriad of courses and for independent study. The novel approach taken by the authors includes a simultaneous treatment of the fractional- and integer-order difference calculus (on a variety of time scales, including both the usual forward and backwards difference operators). The reader will acquire a solid foundation in the classical topics of the discrete calculus while being introduced to exciting recent developments, bringing them to the frontiers of the subject. Most chapters may be covered or omitted, depending upon the background of the student. For example, the text may be used as a primary reference in an introductory course for difference equations which also includes discrete fractional calculus. Chapters 1—2 provide a basic introduction to the delta calculus including fractional calculus on the set of integers. For courses where students already have background in elementary real analysis, Chapters 1—2 may be covered quickly and readers may then skip to Chapters 6—7 which present some basic results in fractional boundary value problems (FBVPs). Chapters 6—7 in conjunction with some of the current literature listed in the Bibliography can provide a basis for a seminar in the current theory of FBVPs. For a two-semester course, Chapters 1—5 may be covered in depth, providing a very thorough introduction to both the discrete fractional calculus as well as the integer-order calculus.

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Page Count

565

Publisher

Springer

Published Date

ISBN 10

3319255622

ISBN 13

9783319255620

Baseball America's 2003 Almanac

By: Allan (Edt) Baseball America/ Simpson

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Baseball America's 2003 Almanac

By: Allan (Edt) Baseball America/ Simpson

Who else are you going to depend on to wrap up the 2002 season? From the major leagues to the minor leagues to the college and high school ranks, no one covers the game more thoroughly than Baseball America. And no book offers you a more complete recap of the previous season than BA's annual Almanac, now in its 21st year. The 2003 Almanac is our largest ever -- nearly 500 pages. It has all the major league news and statistics, an overview of each organization's season, the minor league year in review, comprehensive college coverage, a full recap of the 2002 draft and foreign and winter league coverage. You'll see lots of baseball annuals, but there are none as comprehensive as Baseball America's Almanac. Book jacket.

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Page Count

484

Publisher

Baseball America

Published Date

ISBN 10

0684019299

ISBN 13

9780684019291

Book's by Allan C. Peterson

Difference Equations

Difference Equations

The Theory of Differential Equations

The Theory of Differential Equations

Discrete Fractional Calculus

Discrete Fractional Calculus

Baseball America's 2003 Almanac

Baseball America's 2003 Almanac

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