Ein Kurs in gewöhnlichen Differentialgleichungen, zweite Auflage
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eBay-Artikelnr.:335974148996
Artikelmerkmale
- Artikelzustand
- UPC
- 9781466509085
- MPN
- N/A
- EAN
- 9781466509085
- ISBN
- 9781466509085
Über dieses Produkt
Product Identifiers
Publisher
CRC Press LLC
ISBN-10
1466509082
ISBN-13
9781466509085
eBay Product ID (ePID)
111929794
Product Key Features
Number of Pages
807 Pages
Publication Name
Course in Ordinary Differential Equations
Language
English
Subject
Differential Equations / General, General, Applied
Publication Year
2014
Type
Textbook
Subject Area
Mathematics
Format
Hardcover
Dimensions
Item Height
1.3 in
Item Weight
52.1 Oz
Item Length
9.4 in
Item Width
6.5 in
Additional Product Features
Edition Number
2
Intended Audience
College Audience
LCCN
2015-304981
Dewey Edition
22
Reviews
Praise for the First Edition: " A Course in Ordinary Differential Equations deserves to be on the MAA's Basic Library List ... the book with its layout, is very student friendly--it is easy to read and understand; every chapter and explanations flow smoothly and coherently ... the reviewer would recommend this book highly for undergraduate introductory differential equation courses." --Srabasti Dutta, College of Saint Elizabeth, MAA Online, July 2008 "An important feature is that the exposition is richly accompanied by computer algebra code (equally distributed between MATLAB, Mathematica , and Maple). The major part of the book is devoted to classical theory (both for systems and higher order equations). The necessary material from linear algebra is also covered. More advanced topics include numerical methods, stability of equilibria, bifurcations, Laplace transforms, and the power series method." -- EMS Newsletter , June 2007 "This is a delightful textbook for a standard one-semester undergraduate course in ordinary differential equations designed for students who had one year of calculus and continue their studies in engineering and mathematics. The main idea is to focus on the applications and methods of solutions, both analytical and numerical, with special attention paid to applications to real-world problems in engineering, physics, population dynamics, epidemiology, etc. A winning feature of the book is the extensive use of computer algebra codes throughout the text. Assuming that the students have no previous experience with Maple, MATLAB, or Mathematica , the authors present the relevant syntax and theory for all three programs. This helps students to understand better the theoretical material, use computer support more sensibly, and interpret results of computer simulation properly. Some background material from linear algebra is also provided throughout the text whenever necessary. ... The book is nicely written, generously illustrated, and well structured. There are plenty of exercises ranging from drilling to challenging. Additional problems for revision and projects are collected at the end of each chapter. ... An excellent blend of analytical and technical tools for studying ordinary differential equations, this text is a welcome addition to existing literature and is warmly recommended as essential reading for a first undergraduate course in differential equations." -- Zentralblatt MATH 1931
TitleLeading
A
Illustrated
Yes
Dewey Decimal
515/.352
Edition Description
Revised edition,New Edition
Table Of Content
Traditional First-Order Differential Equations Introduction to First-Order Equations Separable Differential Equations Linear Equations Some Physical Models Arising as Separable Equations Exact Equations Special Integrating Factors and Substitution Methods Geometrical and Numerical Methods for First-Order Equations Direction Fields--the Geometry of Differential Equations Existence and Uniqueness for First-Order Equations First-Order Autonomous Equations--Geometrical Insight Modeling in Population Biology Numerical Approximation: Euler and Runge-Kutta Methods An Introduction to Autonomous Second-Order Equations Elements of Higher-Order Linear Equations Introduction to Higher-Order Equations Linear Independence and the Wronskian Reduction of Order--the Case n = 2 Numerical Considerations for n th-Order Equations Essential Topics from Complex Variables Homogeneous Equations with Constant Coefficients Mechanical and Electrical Vibrations Techniques of Nonhomogeneous Higher-Order Linear Equations Nonhomogeneous Equations Method of Undetermined Coefficients via Superposition Method of Undetermined Coefficients via Annihilation Exponential Response and Complex Replacement Variation of Parameters Cauchy-Euler (Equidimensional) Equation Forced Vibrations Fundamentals of Systems of Differential Equations Useful Terminology Gaussian Elimination Vector Spaces and Subspaces Eigenvalues and Eigenvectors A General Method, Part I: Solving Systems with Real & Distinct or Complex Eigenvalues A General Method, Part II: Solving Systems with Repeated Real Eigenvalues Matrix Exponentials Solving Linear Nonhomogeneous Systems of Equations Geometrical and Numerical Methods for First-Order Equations An Introduction to the Phase Plane Nonlinear Equations and Phase Plane Analysis Bifurcations Epidemiological Models Models in Ecology Laplace Transforms Introduction Fundamentals of the Laplace Transform The Inverse Laplace Transform Translated Functions, Delta Function, and Periodic Functions The s -Domain and Poles Solving Linear Systems using Laplace Transforms The Convolution Series Methods Power Series Representations of Functions The Power Series Method Ordinary and Singular Points The Method of Frobenius Bessel Functions Appendix A: An Introduction to MATLAB, Maple, and Mathematica Appendix B: Selected Topics from Linear Algebra Answers to Odd Problems References Index A Review, Computer Labs, and Projects appear at the end of each chapter.
Synopsis
A Course in Ordinary Differential Equations, Second Edition teaches students how to use analytical and numerical solution methods in typical engineering, physics, and mathematics applications. Lauded for its extensive computer code and student-friendly approach, the first edition of this popular textbook was the first on ordinary differential equations (ODEs) to include instructions on using MATLAB(R), Mathematica (R), and Maple(TM). This second edition reflects the feedback of students and professors who used the first edition in the classroom. New to the Second Edition Moves the computer codes to Computer Labs at the end of each chapter, which gives professors flexibility in using the technology Covers linear systems in their entirety before addressing applications to nonlinear systems Incorporates the latest versions of MATLAB, Maple, and Mathematica Includes new sections on complex variables, the exponential response formula for solving nonhomogeneous equations, forced vibrations, and nondimensionalization Highlights new applications and modeling in many fields Presents exercise sets that progress in difficulty Contains color graphs to help students better understand crucial concepts in ODEs Provides updated and expanded projects in each chapter Suitable for a first undergraduate course, the book includes all the basics necessary to prepare students for their future studies in mathematics, engineering, and the sciences. It presents the syntax from MATLAB, Maple, and Mathematica to give students a better grasp of the theory and gain more insight into real-world problems. Along with covering traditional topics, the text describes a number of modern topics, such as direction fields, phase lines, the Runge-Kutta method, and epidemiological and ecological models. It also explains concepts from linear algebra so that students acquire a thorough understanding of differential equations., A Course in Ordinary Differential Equations, Second Edition teaches students how to use analytical and numerical solution methods in typical engineering, physics, and mathematics applications. Lauded for its extensive computer code and student-friendly approach, the first edition of this popular textbook was the first on ordinary differential equations (ODEs) to include instructions on using MATLAB®, Mathematica ®, and Maple(tm). This second edition reflects the feedback of students and professors who used the first edition in the classroom. New to the Second Edition Moves the computer codes to Computer Labs at the end of each chapter, which gives professors flexibility in using the technology Covers linear systems in their entirety before addressing applications to nonlinear systems Incorporates the latest versions of MATLAB, Maple, and Mathematica Includes new sections on complex variables, the exponential response formula for solving nonhomogeneous equations, forced vibrations, and nondimensionalization Highlights new applications and modeling in many fields Presents exercise sets that progress in difficulty Contains color graphs to help students better understand crucial concepts in ODEs Provides updated and expanded projects in each chapter Suitable for a first undergraduate course, the book includes all the basics necessary to prepare students for their future studies in mathematics, engineering, and the sciences. It presents the syntax from MATLAB, Maple, and Mathematica to give students a better grasp of the theory and gain more insight into real-world problems. Along with covering traditional topics, the text describes a number of modern topics, such as direction fields, phase lines, the Runge-Kutta method, and epidemiological and ecological models. It also explains concepts from linear algebra so that students acquire a thorough understanding of differential equations.
LC Classification Number
QA372
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Angemeldet als privater VerkäuferDaher finden verbraucherschützende Vorschriften, die sich aus dem EU-Verbraucherrecht ergeben, keine Anwendung. Der eBay-Käuferschutz gilt dennoch für die meisten Käufe.
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- 9***5 (212)- Bewertung vom Käufer.Letzter MonatBestätigter KaufExcellent transaction! Fantastic correspondence and the product was perfect. Thank you.
- 9***5 (212)- Bewertung vom Käufer.Letzter MonatBestätigter KaufExcellent transaction! Fantastic correspondence and the product was perfect. Thank you.
- j***7 (27)- Bewertung vom Käufer.Letzter MonatBestätigter KaufLarge heavy fragile item was very well packaged, was very quickly shipped and arrived as would be expected.
- h***8 (611)- Bewertung vom Käufer.Letzter MonatBestätigter KaufWas wrongly described but was made right promptly! Would do business again!