Differential Equations with Boundary-value Problems

Differential Equations with Boundary-value Problems

Author: Dennis G. Zill

Publisher: Brooks Cole

Published: 1997

Total Pages: 702

ISBN-13:

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This Fourth Edition of the expanded version of Zill's best-selling A FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH MODELING APPLICATIONS places an even greater emphasis on modeling and the use of technology in problem solving and now features more everyday applications. Both Zill texts are identical through the first nine chapters, but this version includes six additional chapters that provide in-depth coverage of boundary-value problem-solving and partial differential equations, subjects just introduced in the shorter text. Previous editions of these two texts have enjoyed such great success in part because the authors pique students' interest with special features and in-text aids. Pre-publication reviewers also praise the authors' accessible writing style and the text's organization, which makes it easy to teach from and easy for students to understand and use. Understandable, step-by-step solutions are provided for every example. And this edition makes an even greater effort to show students how the mathematical concepts have relevant, everyday applications. Among the boundary-value related topics covered in this expanded text are: plane autonomous systems and stability; orthogonal functions; Fourier series; the Laplace transform; and elliptic, parabolic, and hyperparabolic partial differential equations, and their applications.


A First Course in Differential Equations with Modeling Applications

A First Course in Differential Equations with Modeling Applications

Author: Dennis G. Zill

Publisher: Cengage Learning

Published: 1997

Total Pages: 490

ISBN-13:

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The words "differential" and "equations" certainly suggest solving some kind of equation that contains derivatives. Just as students in a course in algebra and trigonometry spend a good amount of time solving equations, in this course we wish to solve differential equations.


Differential Equations with Boundary-value Problems

Differential Equations with Boundary-value Problems

Author: Dennis G. Zill

Publisher:

Published: 2005

Total Pages: 619

ISBN-13: 9780534420741

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Now enhanced with the innovative DE Tools CD-ROM and the iLrn teaching and learning system, this proven text explains the "how" behind the material and strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This accessible text speaks to students through a wealth of pedagogical aids, including an abundance of examples, explanations, "Remarks" boxes, definitions, and group projects. This book was written with the student's understanding firmly in mind. Using a straightforward, readable, and helpful style, this book provides a thorough treatment of boundary-value problems and partial differential equations.


A First Course in Complex Analysis with Applications

A First Course in Complex Analysis with Applications

Author: Dennis Zill

Publisher: Jones & Bartlett Learning

Published: 2009

Total Pages: 471

ISBN-13: 0763757721

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The new Second Edition of A First Course in Complex Analysis with Applications is a truly accessible introduction to the fundamental principles and applications of complex analysis. Designed for the undergraduate student with a calculus background but no prior experience with complex variables, this text discusses theory of the most relevant mathematical topics in a student-friendly manor. With Zill's clear and straightforward writing style, concepts are introduced through numerous examples and clear illustrations. Students are guided and supported through numerous proofs providing them with a higher level of mathematical insight and maturity. Each chapter contains a separate section on the applications of complex variables, providing students with the opportunity to develop a practical and clear understanding of complex analysis.


Elementary Differential Equations with Boundary Value Problems

Elementary Differential Equations with Boundary Value Problems

Author: William F. Trench

Publisher: Thomson Brooks/Cole

Published: 2001

Total Pages: 764

ISBN-13:

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Written in a clear and accurate language that students can understand, Trench's new book minimizes the number of explicitly stated theorems and definitions. Instead, he deals with concepts in a conversational style that engages students. He includes more than 250 illustrated, worked examples for easy reading and comprehension. One of the book's many strengths is its problems, which are of consistently high quality. Trench includes a thorough treatment of boundary-value problems and partial differential equations and has organized the book to allow instructors to select the level of technology desired. This has been simplified by using symbols, C and L, to designate the level of technology. C problems call for computations and/or graphics, while L problems are laboratory exercises that require extensive use of technology. Informal advice on the use of technology is included in several sections and instructors who prefer not to emphasize technology can ignore these exercises without interrupting the flow of material.