Appropriate for one- or two-semester Advanced Engineering Mathematics courses in departments of Mathematics and Engineering.This clear, pedagogically rich book develops a strong understanding of the mathematical principles and practices that today’s engineers and scientists need to know. Equally effective as either a textbook or reference manual, it approaches mathematical concepts from a practical-use perspective making physical applications more vivid and substantial. Its comprehensive instructional framework supports a conversational, down-to-earth narrative style offering easy accessibility and frequent opportunities for application and reinforcement.
Editorial Reviews: From the Back Cover This clear, pedagogically rich book develops a strong understanding of the mathematical principles and practices that today’s engineers need to know. Equally as effective as either a textbook or reference manual, it approaches mathematical concepts from an engineering perspective, making physical applications more vivid and substantial. Its comprehensive instructional framework supports a conversational, down-to-earth narrative style, offering easy accessibility and frequent opportunities for application and reinforcement.
Reviews from Amazon users which were colected at the time this book was published on the website:
⭐Table of contents: ORDINARY DIFFERENTIAL EQUATIONS. 1. Introduction to Differential Equations. 2. Equations of First Order. 3. Linear Differential Equations of Second Order and Higher. 4. Power Series Solutions. 5. Laplace Transform. 6. Quantitative Methods: Numerical Solution of Differential Equations. 7. Qualitative Methods: Phase Plane and Nonlinear Differential Equations.II. LINEAR ALGEBRA. 8. Systems of Linear Algebraic Equations; Gauss Elimination. 9. Vector Space.10. Matrices and Linear Equations.11. The Eigenvalue Problem.12. Extension to Complex Case (Optional).III. SCALAR and VECTOR FIELD THEORY.13. Differential Calculus of Functions of Several Variables.14. Vectors in 3-Space.15.Curves, Surfaces, and Volumes.16. Scalar and Vector Field Theory.IV. FOURIER SERIES AND PARTIAL DIFFERENTIAL EQUATIONS.17. Fourier Series, Fourier Integral, Fourier Transform.18. Diffusion Equation.19. Wave Equation.20. Laplace Equation.V. COMPLEX VARIABLE THEORY.21. Functions of a Complex Variable.22. Conformal Mapping.23. The Complex Integral Calculus.24. Taylor Series, Laurent Series, and the Residue Theorem.Appendix A: Review of Partial Fraction Expansions.Appendix B: Existence and Uniqueness of Solutions of Systems of Linear Algebraic Equations.Appendix C: Table of Laplace Transforms.Appendix D: Table of Fourier Transforms.Appendix E: Table of Fourier Cosine and Sine Transforms.Appendix F: Table of Conformal Maps.
⭐This is possibly the best single math book I have come across. I used this book for a graduate-level two-course sequence on engineering math based largely on Greenberg’s own courses (there’s a lot of faculty from Cornell in my department). I have to say, Greenberg has an amazing capability for communicating mathematics. All of the topics he goes into are presented very lucidly, with several examples that both reinforce ideas as well as continue to teach- not just worked out problems for the sake of working out problems. Don’t be afraid of the 1300+ pages- the margins are nice and wide for the author’s figures and your own notes, and the font is pretty large.The book covers ODEs, linear algebra and vector space theory, scalar and vector field theory, PDEs, and complex numbers- enough to give any engineer a solid background in the mathematics used to solve the problems that arise in engineering. After going through this book (and the two courses), I fixed many of the holes that were in my mathematical background for whatever reason. The one topic that probably should have been in the book is tensor math (it only has a footnote right now). One thing to be aware of is that the exercises at the end of each section are also filled with knowledge to take away. I didn’t realize this right away since my prof never assigned problems from the book.I highly recommend this book to any engineer- not just those are seeking/have sought graduate degrees. I can easily see myself using frequently this text as a reference for the rest of my career.
⭐Used for two graduate engineering analysis classes which I should not have taken together. We covered linear algebra, vector calculus, and complex analysis in one half of the book, and ODE’s and PDE’s in the second half. Even so, there is still probably 50% of the book we did not cover which goes into more detail on many other subjects. Most of the chapters contain what you need to succeed with hidden gems and derivations hidden in some of the homework problems.This book has clear examples and does a great job of helping you remember all those math courses you took years ago. It may look dated graphically compared to newer books available such as the one by Erwin Kreyszigk. However math like this is the same no matter how old it is, so pick what you need because no text is ever complete.
⭐Buying this textbook used was a great alternative. Great service and quick shipping. Thanks!
⭐It’s an OK book, but two things against it:1. Few examples and many of them are based on the theory (meaning they’re not using specific examples but just a general example for all cases)2. Black and white book. Bolded words get lost. Needs new formatting.That being said, it’s a good book for differential equations and linear algebra but you may want to supplement it with other sources (I recommend Nagle/Saff/Snider Fundamentals of Differential Equations which has more examples and explains better).
⭐This book takes many other books and eats it for breakfast. It is huge, however it has everything that one could ever need in it. Not a book you want to be bringing to class everyday because it is larger than most phone books, however that is usually not a problem. Combines Differential Equations, Linear Algebra, Multi-variable Calculus and more in one great but large book. It may not have a lot of pictures or color but it is how it stays so reasonably priced. Would like to see some more worked out problems which is why it only gets 4/5 stars
⭐I liked this booked about as much as one can like a textbook. This book was well written and is easy to understand for somebody that has been through a number of math/engineering classes in college. The nice thing about this book is that is does mix math and engineering and is therefore much more useful to an engineer than a pure math book.
⭐The book covers most of the mathematics required for a graduate engineerer.But the textbook has lack of examples and explanations that are really related to engineers and their applications.The good part is though the writing is excellent and the order of the content was better than the other books.
⭐overall it is one of the best engineering mathematics textbooks for engineers……
⭐perfect for student on a budget
⭐really like itit is very useful for my coursebut a little bit expensive
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