Rather than follow the traditional approach of stating mathematical principles and then citing some physical examples for illustration, Professor Mei puts applications at center stage. Beginning with the problem, he finds the mathematics that suits it and closes with a mathematical analysis of the physics. He selects physical examples primarily from applied mechanics. Among topics included are Fourier series, separation of variables, Bessel functions, Fourier and Laplace transforms, Green's functions and complex function theories. Also covered are advanced topics such as Riemann-Hilbert techniques, perturbation methods, and practical topics such as symbolic computation. Engineering students, who often feel more awe than confidence and enthusiasm toward applied mathematics, will find this approach to mathematics goes a long way toward a sharper understanding of the physical world.
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Book Description
Editorial Reviews
Review
"In the crowded field of books on engineering applications, this one distinguishes itself by a fair number of nonstandard applications in fluid and solid mechanics." R. Solecki, Choice
"The main feature of this text which distinguishes it from the many texts on engineering mathematics is the wealth of worked examples...Some of the illustrated examples are quite challenging and others are drawn from application areas not commonly featured in texts books at this level. The text is clearly laid out and very readable. It is highly recommended." Journal of Fluid Mechanics
"...the illustrative examples are quite challenging and others are drawn from application areas not commonly featured in text books at this level. The text is clearly laid out and very readable. It is highly recommended." Journal of Fluid Mechanics
"...explains how to use mathematics to formulate, solve, and analyze physical problems...The emphasis throughout is on engineering applications rather than mathematical formalities." Mechanical Engineering
"
"The main feature of this text which distinguishes it from the many texts on engineering mathematics is the wealth of worked examples...Some of the illustrated examples are quite challenging and others are drawn from application areas not commonly featured in texts books at this level. The text is clearly laid out and very readable. It is highly recommended." Journal of Fluid Mechanics
"...the illustrative examples are quite challenging and others are drawn from application areas not commonly featured in text books at this level. The text is clearly laid out and very readable. It is highly recommended." Journal of Fluid Mechanics
"...explains how to use mathematics to formulate, solve, and analyze physical problems...The emphasis throughout is on engineering applications rather than mathematical formalities." Mechanical Engineering
"
Book Description
This user-friendly text shows how to use mathematics to formulate, solve, and analyze physical problems. Rather than follow the traditional approach of stating mathematical principles and then citing physical examples for illustration, the book puts applications at center stage; that is, it starts with the problem, finds the mathematics that suits it, and ends with a mathematical analysis of the physics. Physical examples are selected primarily from applied mechanics, and they range from the simple to the more sophisticated.Engineering students, who often feel more awe than confidence and enthusiasm toward applied mathematics, will appreciate and learn from this approach.
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Most Helpful Customer Reviews
1 of 2 people found the following review helpful:
4.0 out of 5 stars
Very good book,
By Ganesh Ramaswamy (sganesh@earthlink.net) (Livermore, California) - See all my reviews
This review is from: Mathematical Analysis in Engineering: How to Use the Basic Tools (Paperback)
The book presents the techniques of applying mathematics with a true engineering flavor. It is written in a fairly simple and understandable manner. The book should be ideal for first year graduate students of engineering.
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Inside This Book
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First Sentence:
For an engineer or physical scientist, the first necessary skill in doing theoretical analysis is to describe a problem in mathematical terms. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
naive expansion, seepage flow, vertical thermal gradient, rotatory inertia, inner approximation, outer solution, characteristic triangle, infinite channel, perturbation equations, plane elasticity, complex velocity Key Phrases - Capitalized Phrases (CAPs): (learn more)
Convergence of Fourier, Elements of Fourier New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
For an engineer or physical scientist, the first necessary skill in doing theoretical analysis is to describe a problem in mathematical terms. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
naive expansion, seepage flow, vertical thermal gradient, rotatory inertia, inner approximation, outer solution, characteristic triangle, infinite channel, perturbation equations, plane elasticity, complex velocity Key Phrases - Capitalized Phrases (CAPs): (learn more)
Convergence of Fourier, Elements of Fourier New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 29
books:
See all 29 books this book cites
- Numerical Recipes: The Art of Scientific Computing by William H. Press in Back Matter
- Advanced Fracture Mechanics (Oxford Engineering Science Series) by Carl H. Popelar in Back Matter
- Some Basic Problems of the Mathematical Theory of Elasticity by N.I. Muskhelishvili in Back Matter
- Partial Differential Equations of Applied Mathematics, 2nd Edition by Erich Zauderer in Back Matter
- Operational Methods in Applied Mathematics by H C Carslaw in Back Matter
See all 29 books this book cites
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