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Modern Advanced Mathematics for Engineers
 
 
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Modern Advanced Mathematics for Engineers [Hardcover]

Vladimir V. Mitin (Author), Dmitri A. Romanov (Author), Michael P. Polis (Author)
4.0 out of 5 stars  See all reviews (2 customer reviews)

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Book Description

047141770X 978-0471417705 March 19, 2001 1
A convenient single source for vital mathematical concepts, written by engineers and for engineers.

Builds a strong foundation in modern applied mathematics for engineering students, and offers them a concise and comprehensive treatment that summarizes and unifies their mathematical knowledge using a system focused on basic concepts rather than exhaustive theorems and proofs.

The authors provide several levels of explanation and exercises involving increasing degrees of mathematical difficulty to recall and develop basic topics such as calculus, determinants, Gaussian elimination, differential equations, and functions of a complex variable. They include an assortment of examples ranging from simple illustrations to highly involved problems as well as a number of applications that demonstrate the concepts and methods discussed throughout the book. This broad treatment also offers:* Key mathematical tools needed by engineers working in communications, semiconductor device simulation, and control theory * Concise coverage of fundamental concepts such as sets, mappings, and linearity * Thorough discussion of topics such as distance, inner product, and orthogonality * Essentials of operator equations, theory of approximations, transform methods, and partial differential equationsIt makes an excellent companion to less general engineering texts and a useful reference for practitioners.

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Editorial Reviews

Review

“The appearance of the book is pleasing and it reads well…” (The Mathematical Gazette, Nov 2002)

"From the preface: 'This book is written with the aim of providing students with a strong foundation in modern applied mathematics.'" (Mathematical Reviews, 2001 I)

"...a useful account of basic ideas." (Mathematika, No.48, 2001)

"One should be grateful to the authors for having done a good job" (Zentrablatt Math, Vol.979, No.04, 2002)

"...textbook for a one-semester graduate course providing engineering students with a foundation in modern applied mathematics." (SciTech Book News, Vol. 26, No. 2, June 2002)

From the Back Cover

A convenient single source for vital mathematical concepts, written by engineers and for engineers

Almost every discipline in electrical and computer engineering relies heavily on advanced mathematics. Modern Advanced Mathematics for Engineers builds a strong foundation in modern applied mathematics for engineering students, and offers them a concise and comprehensive treatment that summarizes and unifies their mathematical knowledge using a system focused on basic concepts rather than exhaustive theorems and proofs.

The authors provide several levels of explanation and exercises involving increasing degrees of mathematical difficulty to recall and develop basic topics such as calculus, determinants, Gaussian elimination, differential equations, and functions of a complex variable. They include an assortment of examples ranging from simple illustrations to highly involved problems as well as a number of applications that demonstrate the concepts and methods discussed throughout the book. This broad treatment also offers:

  • Key mathematical tools needed by engineers working in communications, semiconductor device simulation, and control theory
  • Concise coverage of fundamental concepts such as sets, mappings, and linearity
  • Thorough discussion of topics such as distance, inner product, and orthogonality
  • Essentials of operator equations, theory of approximations, transform methods, and
  • partial differential equations
  • A treatment that is adaptable for use with computer systems

Modern Advanced Mathematics for Engineers gives students a strong foundation in modern applied mathematics and the confidence to apply it across diverse engineering disciplines. It makes an excellent companion to less general engineering texts and a useful reference for practitioners.


Product Details

  • Hardcover: 328 pages
  • Publisher: Wiley-Interscience; 1 edition (March 19, 2001)
  • Language: English
  • ISBN-10: 047141770X
  • ISBN-13: 978-0471417705
  • Product Dimensions: 9.6 x 6.4 x 0.9 inches
  • Shipping Weight: 1.3 pounds (View shipping rates and policies)
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #1,258,642 in Books (See Top 100 in Books)

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3 of 4 people found the following review helpful:
3.0 out of 5 stars A book for Advanced Engineers, April 6, 2001
By 
Samer Wh. (Detroit, MI USA) - See all my reviews
This review is from: Modern Advanced Mathematics for Engineers (Hardcover)
As a student of the author, in which the book is used in a grad level engineering school, this book summarizes all that is learned in an under grad engineering college. Many mathematical aspects are considered from simple algebraic logic to advanced Fourier transforms. This book covers it all. In summary, this book is great to own if you are interested in combining all what is learned in mathematics to solve complex problems.
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5.0 out of 5 stars A really good book for engineers, July 10, 2011
By 
Amazon Verified Purchase(What's this?)
This review is from: Modern Advanced Mathematics for Engineers (Hardcover)
This book is a real gem for engineers that want a good starting place for learning modern advanced mathematics. I have read the whole book and found it both fascinating and informative. The exposition is exemplary. It is also concise, which aids comprehension. The print and layout are very nice as well. One of the strengths of this book is the way in which the authors do something that many others fail to do: they show all the steps needed to get from A to B. There are other books on the topic of advanced modern mathematics but I would suggest that one would not go wrong by starting with this book first.
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Inside This Book (learn more)
First Sentence:
The goal of this chapter is twofold. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
complex logical formulas, fundamental tautologies, triangle axiom, projection decomposition, trivial linear combination, echelon matrix, metric mapping, metric distance, carrier set, basic connectives, atomic statements, orthonormal sequence, real linear space, limiting element, closure point
Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, Projection Theorem, Englewood Cliffs, Marcel Dekker, Academic Press, Orthogonal Polynomials, Solution According, Van Nostrand, Cambridge University Press, Comparing Eqs, World Scientific
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