Differential Equations: Theory,Technique and Practice with Boundary Value Problems (Textbooks in Mathematics Book 30) 1st Edition by Steven G. Krantz (PDF)

Description

Differential Equations: Theory, Technique, and Practice with Boundary Value Problems presents classical ideas and cutting-edge techniques for a contemporary, undergraduate-level, one- or two-semester course on ordinary differential equations. Authored by a widely respected researcher and teacher, the text covers standard topics such as partial differential equations (PDEs), boundary value problems, numerical methods, and dynamical systems. Lively historical notes and mathematical nuggets of information enrich the reading experience by offering perspective on the lives of significant contributors to the discipline. “Anatomy of an Application” sections highlight applications from engineering, physics, and applied science. Problems for review and discovery provide students with open-ended material for further exploration and learning. Streamlined for the interests of engineers, this version:Includes new coverage of Sturm-Liouville theory and problemsDiscusses PDEs, boundary value problems, and dynamical systemsFeatures an appendix that provides a linear algebra reviewAugments the substantial and valuable exercise setsEnhances numerous examples to ensure clarityA solutions manual is available with qualifying course adoption.Differential Equations: Theory, Technique, and Practice with Boundary Value Problems delivers a stimulating exposition of modeling and computing, preparing students for higher-level mathematical and analytical thinking.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I used this book to supplement my Ordinary Differential Equations class and it helped tremendously. It is concise and fun to read because of the “Math Nuggets” (historical information).Table of Contents:1) What is a Differential Equation? Here they go over what it is and first order ODE’s2) Second-Order Linear Equations3) Power Series Solutions and Special Functions4) Numerical Methods5) Fourier Series: Basic Concepts6) Sturm-Liouville Problems and Boundary Value Problems7) Partial Differential Equations and Boundary Value Problems8) Laplace Transforms9) Systems of First-Order Equations10) The Nonlinear TheoryChapters 1, 2, and 8 are excellent. Chapter 7 is a good introduction to PDE’s. I haven’t really looked into any other chapters of the book. 464 pages including Appendix, Bibliography, and Index. If there was anything I’d change about this book, it would be to add solutions to the back of the book. Even or odd or a few from each section would be fine.

⭐So far the book has been ok, sometimes the proofs are ez sometimes not that much but the thing is that the book has to many pshysics applications, and no other applications to other sciences although with what i have learned in classes vs the book there a few important things the book doesnt mention or show wich are crucial in my opinion.Good book to complement a course, not that much to study all alone on this book, cuz missing stuff

⭐Not found.

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