A First Course In Differential Equations

Author : J. David Logan
Publisher : Springer Science & Business Media
Page : 297 pages
File Size : 41,9 Mb
Release : 2006-05-20
Category : Mathematics
ISBN : 9780387299303

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A First Course in Differential Equations by J. David Logan Pdf

Therearemanyexcellenttextsonelementarydi?erentialequationsdesignedfor the standard sophomore course. However, in spite of the fact that most courses are one semester in length, the texts have evolved into calculus-like pres- tations that include a large collection of methods and applications, packaged with student manuals, and Web-based notes, projects, and supplements. All of this comes in several hundred pages of text with busy formats. Most students do not have the time or desire to read voluminous texts and explore internet supplements. The format of this di?erential equations book is di?erent; it is a one-semester, brief treatment of the basic ideas, models, and solution methods. Itslimitedcoverageplacesitsomewherebetweenanoutlineandadetailedte- book. I have tried to write concisely, to the point, and in plain language. Many worked examples and exercises are included. A student who works through this primer will have the tools to go to the next level in applying di?erential eq- tions to problems in engineering, science, and applied mathematics. It can give some instructors, who want more concise coverage, an alternative to existing texts.

Author : Dennis G. Zill
Publisher : Unknown
Page : 552 pages
File Size : 55,9 Mb
Release : 1979
Category : Differential equations
ISBN : STANFORD:36105031599900

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A First Course in Differential Equations with Applications by Dennis G. Zill Pdf

An introduction to differential equations; First-order differential equations; Applications of first-order differential equations; Linear equations of higher order; Applications of second-order differential equations: vibrational models; Differential equations with variable coefficients; The laplace transform; Linear systems of differencial equations; Numerial methods; Partial differential equations.

Author : Dennis G. Zill,Warren S. Wright
Publisher : Brooks/Cole
Page : 164 pages
File Size : 44,6 Mb
Release : 1993
Category : Mathematics
ISBN : 0534931553

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A first course in differential equations by Dennis G. Zill,Warren S. Wright Pdf

% mainly for math and engineering majors.% clear, concise writng style is student oriented.J% graded problem sets, with many diverse problems, range form drill to more challenging problems.% this course follows the three-semester calculus sequence at two- and four-year schools

Author : Carlos A. Smith,Scott W. Campbell
Publisher : CRC Press
Page : 344 pages
File Size : 42,7 Mb
Release : 2011-05-18
Category : Mathematics
ISBN : 9781439850886

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A First Course in Differential Equations, Modeling, and Simulation by Carlos A. Smith,Scott W. Campbell Pdf

Emphasizing a practical approach for engineers and scientists, A First Course in Differential Equations, Modeling, and Simulation avoids overly theoretical explanations and shows readers how differential equations arise from applying basic physical principles and experimental observations to engineering systems. It also covers classical methods for

Author : Dennis G. Zill
Publisher : Unknown
Page : 387 pages
File Size : 51,7 Mb
Release : 1997
Category : Differential equations
ISBN : 9814040193

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A First Course in Differential Equations with Modeling Applications by Dennis G. Zill Pdf

Author : Suman Kumar Tumuluri
Publisher : CRC Press
Page : 338 pages
File Size : 41,7 Mb
Release : 2021-03-24
Category : Mathematics
ISBN : 9781000356717

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A First Course in Ordinary Differential Equations by Suman Kumar Tumuluri Pdf

A First course in Ordinary Differential Equations provides a detailed introduction to the subject focusing on analytical methods to solve ODEs and theoretical aspects of analyzing them when it is difficult/not possible to find their solutions explicitly. This two-fold treatment of the subject is quite handy not only for undergraduate students in mathematics but also for physicists, engineers who are interested in understanding how various methods to solve ODEs work. More than 300 end-of-chapter problems with varying difficulty are provided so that the reader can self examine their understanding of the topics covered in the text. Most of the definitions and results used from subjects like real analysis, linear algebra are stated clearly in the book. This enables the book to be accessible to physics and engineering students also. Moreover, sufficient number of worked out examples are presented to illustrate every new technique introduced in this book. Moreover, the author elucidates the importance of various hypotheses in the results by providing counter examples. Features Offers comprehensive coverage of all essential topics required for an introductory course in ODE. Emphasizes on both computation of solutions to ODEs as well as the theoretical concepts like well-posedness, comparison results, stability etc. Systematic presentation of insights of the nature of the solutions to linear/non-linear ODEs. Special attention on the study of asymptotic behavior of solutions to autonomous ODEs (both for scalar case and 2✕2 systems). Sufficient number of examples are provided wherever a notion is introduced. Contains a rich collection of problems. This book serves as a text book for undergraduate students and a reference book for scientists and engineers. Broad coverage and clear presentation of the material indeed appeals to the readers. Dr. Suman K. Tumuluri has been working in University of Hyderabad, India, for 11 years and at present he is an associate professor. His research interests include applications of partial differential equations in population dynamics and fluid dynamics.

Author : Arieh Iserles
Publisher : Cambridge University Press
Page : 481 pages
File Size : 47,8 Mb
Release : 2008-11-27
Category : Mathematics
ISBN : 9781139473767

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A First Course in the Numerical Analysis of Differential Equations by Arieh Iserles Pdf

Numerical analysis presents different faces to the world. For mathematicians it is a bona fide mathematical theory with an applicable flavour. For scientists and engineers it is a practical, applied subject, part of the standard repertoire of modelling techniques. For computer scientists it is a theory on the interplay of computer architecture and algorithms for real-number calculations. The tension between these standpoints is the driving force of this book, which presents a rigorous account of the fundamentals of numerical analysis of both ordinary and partial differential equations. The exposition maintains a balance between theoretical, algorithmic and applied aspects. This second edition has been extensively updated, and includes new chapters on emerging subject areas: geometric numerical integration, spectral methods and conjugate gradients. Other topics covered include multistep and Runge-Kutta methods; finite difference and finite elements techniques for the Poisson equation; and a variety of algorithms to solve large, sparse algebraic systems.

Author : Dennis Zill,Patrick Shanahan
Publisher : Jones & Bartlett Learning
Page : 471 pages
File Size : 47,8 Mb
Release : 2009
Category : Mathematics
ISBN : 9780763757724

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A First Course in Complex Analysis with Applications by Dennis Zill,Patrick Shanahan Pdf

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.

Author : Martin Hermann,Masoud Saravi
Publisher : Springer Science & Business
Page : 300 pages
File Size : 49,8 Mb
Release : 2014-04-22
Category : Mathematics
ISBN : 9788132218357

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A First Course in Ordinary Differential Equations by Martin Hermann,Masoud Saravi Pdf

This book presents a modern introduction to analytical and numerical techniques for solving ordinary differential equations (ODEs). Contrary to the traditional format—the theorem-and-proof format—the book is focusing on analytical and numerical methods. The book supplies a variety of problems and examples, ranging from the elementary to the advanced level, to introduce and study the mathematics of ODEs. The analytical part of the book deals with solution techniques for scalar first-order and second-order linear ODEs, and systems of linear ODEs—with a special focus on the Laplace transform, operator techniques and power series solutions. In the numerical part, theoretical and practical aspects of Runge-Kutta methods for solving initial-value problems and shooting methods for linear two-point boundary-value problems are considered. The book is intended as a primary text for courses on the theory of ODEs and numerical treatment of ODEs for advanced undergraduate and early graduate students. It is assumed that the reader has a basic grasp of elementary calculus, in particular methods of integration, and of numerical analysis. Physicists, chemists, biologists, computer scientists and engineers whose work involves solving ODEs will also find the book useful as a reference work and tool for independent study. The book has been prepared within the framework of a German–Iranian research project on mathematical methods for ODEs, which was started in early 2012.

Author : Antonio Ambrosetti,Shair Ahmad
Publisher : Walter de Gruyter GmbH & Co KG
Page : 435 pages
File Size : 41,7 Mb
Release : 2023-12-18
Category : Mathematics
ISBN : 9783111185781

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Differential Equations by Antonio Ambrosetti,Shair Ahmad Pdf

Author : Morris Tenenbaum,Harry Pollard
Publisher : Courier Corporation
Page : 852 pages
File Size : 50,6 Mb
Release : 1985-10-01
Category : Mathematics
ISBN : 9780486649405

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Ordinary Differential Equations by Morris Tenenbaum,Harry Pollard Pdf

Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.

Author : James Hetao Liu
Publisher : Unknown
Page : 584 pages
File Size : 48,6 Mb
Release : 2003
Category : Differential equations, Nonlinear
ISBN : UVA:X004817207

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A First Course in the Qualitative Theory of Differential Equations by James Hetao Liu Pdf

This book provides a complete analysis of those subjects that are of fundamental importance to the qualitative theory of differential equations and related to current research-including details that other books in the field tend to overlook. Chapters 1-7 cover the basic qualitative properties concerning existence and uniqueness, structures of solutions, phase portraits, stability, bifurcation and chaos. Chapters 8-12 cover stability, dynamical systems, and bounded and periodic solutions. A good reference book for teachers, researchers, and other professionals.

Author : Dennis Zill,Jacqueline Dewar
Publisher : Jones & Bartlett Publishers
Page : 560 pages
File Size : 52,6 Mb
Release : 2010-12-16
Category : Mathematics
ISBN : 9781449606022

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College Algebra by Dennis Zill,Jacqueline Dewar Pdf

With an emphasis on problem-solving and packed with engaging, student-friendly exercise sets and examples, the Third Edition of Zill and Dewar's College Algebra is the perfect text for the traditional college algebra course. Zill's renowned pedagogy and accessible, straightforward writing style urges students to delve into the content and experience the mathematics first hand through numerous problem sets. These problem sets give students the opportunity to test their comprehension, challenge their understanding, and apply their knowledge to real-world situations. A robust collection of student and instructor ancillaries include: WebAssign access, PowerPoint Lecture Slides, Test Bank, Student Resource Manual and more.

Author : A. H. Siddiqi,Pammy Manchanda
Publisher : Unknown
Page : 528 pages
File Size : 54,5 Mb
Release : 2006-02-01
Category : Differential equations
ISBN : 140393018X

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A First Course in Differential Equations with Applications by A. H. Siddiqi,Pammy Manchanda Pdf

A First Course in Differential Equations with Applications is an introductory text on differential and partial differential equations providing a basic understanding of an impor- tant branch of Applied Mathematics. Placing emphasis on applications, this b

Author : Dennis G. Zill,Michael R. Cullen
Publisher : Unknown
Page : 619 pages
File Size : 49,6 Mb
Release : 2005
Category : Boundary value problems
ISBN : 0534420745

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Differential Equations with Boundary-value Problems by Dennis G. Zill,Michael R. Cullen Pdf

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.