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Mathematical Physics: Applied Mathematics for Scientists and Engineers [Hardcover]

Bruce R. Kusse (Author), Erik A. Westwig (Author)
4.2 out of 5 stars  See all reviews (4 customer reviews)


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Book Description

September 11, 1998 0471154318 978-0471154310 1
What sets this volume apart from other mathematics texts is its emphasis on mathematical tools commonly used by scientists and engineers to solve real-world problems. Using a unique approach, it covers intermediate and advanced material in a manner appropriate for undergraduate students. Based on author Bruce Kusse's course at the Department of Applied and Engineering Physics at Cornell University, Mathematical Physics begins with essentials such as vector and tensor algebra, curvilinear coordinate systems, complex variables, Fourier series, Fourier and Laplace transforms, differential and integral equations, and solutions to Laplace's equations. The book moves on to explain complex topics that often fall through the cracks in undergraduate programs, including the Dirac delta-function, multivalued complex functions using branch cuts, branch points and Riemann sheets, contravariant and covariant tensors, and an introduction to group theory.

This remarkable book:
* Covers applications in all areas of engineering and the physical sciences.
* Features numerous figures and worked-out examples throughout the text.
* Presents mathematically advanced material in a readable form with few formal proofs.
* Organizes topics pedagogically in - the order they will be most easily understood.
* Provides end-of-chapter exercises.

Mathematical Physics is an excellent text for upper-level undergraduate students in physics, applied physics, physical chemistry, biophysics, and all areas of engineering. It allows physics professors to prepare students for a wide range of employment in science and engineering and makes an excellent reference for scientists and engineers in industry.

An Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department.


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Editorial Reviews

Review

"The descriptions are well illustrated with many figures. Each chapter contains exercises which can help the reader to understand the theory." (Zentralblatt Math, 2008/16)

"Any lecturer on mathematical methods is also looking for worked examples and numerous exercises. This book passes these tests admirably. [...] In summary, a welcome addition to the good books in this area." (Australian PHYSICS)
--This text refers to the Paperback edition.

From the Back Cover

What sets this volume apart from other mathematics texts is its emphasis on mathematical tools commonly used by scientists and engineers to solve real-world problems. Using a unique approach, it covers intermediate and advanced material in a manner appropriate for undergraduate students. Based on author Bruce Kusse's course at the Department of Applied and Engineering Physics at Cornell University, Mathematical Physics begins with essentials such as vector and tensor algebra, curvilinear coordinate systems, complex variables, Fourier series, Fourier and Laplace transforms, differential and integral equations, and solutions to Laplace's equations. The book moves on to explain complex topics that often fall through the cracks in undergraduate programs, including the Dirac delta-function, multivalued complex functions using branch cuts, branch points and Riemann sheets, contravariant and covariant tensors, and an introduction to group theory.

This remarkable book:
* Covers applications in all areas of engineering and the physical sciences.
* Features numerous figures and worked-out examples throughout the text.
* Presents mathematically advanced material in a readable form with few formal proofs.
* Organizes topics pedagogically in - the order they will be most easily understood.
* Provides end-of-chapter exercises.

Mathematical Physics is an excellent text for upper-level undergraduate students in physics, applied physics, physical chemistry, biophysics, and all areas of engineering. It allows physics professors to prepare students for a wide range of employment in science and engineering and makes an excellent reference for scientists and engineers in industry.

Product Details

  • Hardcover: 680 pages
  • Publisher: Wiley-Interscience; 1 edition (September 11, 1998)
  • Language: English
  • ISBN-10: 0471154318
  • ISBN-13: 978-0471154310
  • Product Dimensions: 9.2 x 6.3 x 1.5 inches
  • Shipping Weight: 2.4 pounds
  • Average Customer Review: 4.2 out of 5 stars  See all reviews (4 customer reviews)
  • Amazon Best Sellers Rank: #529,745 in Books (See Top 100 in Books)

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Customer Reviews

4 Reviews
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Average Customer Review
4.2 out of 5 stars (4 customer reviews)
 
 
 
 
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2 of 2 people found the following review helpful:
5.0 out of 5 stars Excellent text for intermediate-level applied mathematics course, September 11, 2009
By 
S. D. Weitzenhoffer (Houston, TX United States) - See all my reviews
(REAL NAME)   
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I was a student in Professor Kusse's AEP 321/322 course in the Fall of 1990/Spring 1991. He is a very clear instructor of the concepts presented, and I remember his lectures were at a different level than the texts selected for the class -- the lectures were geared to the level of sophomores/juniors having completed a three-semester sequence in engineering mathematics at the level of Thomas/Finney, whereas the texts (Arfkin, Butkov) seemed geared more towards a graduate-level audience. The lectures are what carried the course for me.

I stumbled upon this book recently, picked up a copy, and compared it to my notes from the course -- it is the same clear style and target audience as his lectures were, but far more polished.

One would serve one's students exceptionally well with this text for a similar course.
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3 of 4 people found the following review helpful:
5.0 out of 5 stars Mathematical Physics: A Good Elementary Text in Applied Mathematics, September 30, 2007
By 
This book is fantastic. It is a good introduction to many fundamental mathematical techniques used in physical sciences and engineering. The material is a must-know for all undergraduates in physical sciences and engineering. It's clear diagrams, step-by-step proofs, coupled with lecture-style explanations, make it easy for independent reading and understanding.
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3 of 6 people found the following review helpful:
4.0 out of 5 stars mostly for physics majors, June 25, 2006
For those of you who love maths and physics, this book will be a pleasure to read. It teach you the maths needed for much of physics. The title might be a trifle misleading though. A substantial portion of the maths is unlikely to be used by the typical engineer or chemist. Like the use of contravariant and covariant vectors. Mostly used just in physics. Outside physics, the only context that springs to mind is if you are an engineer involved with coding GPS applications that require Einstein's Theory of General Relativity.

But, ok, much of the maths could be apropos to fields outside physics. The use of contour integrals and residues comes to mind. A beautiful and powerful idea that should be learnt by anyone who has to deal with complex integrals.
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Inside This Book (learn more)
First Sentence:
This chapter presents a quick review of vector and matrix algebra. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
polar basis vectors, matrix array notation, covariant basis vectors, sifting integral, covariant vector components, singularity circle, nonanalytic point, contravariant vector components, unprimed system, contravariant basis vectors, unprimed components, convergence region, finite train, inversion contour, elliptical system, using subscript notation, dot multiplying, differential limit, nonhomogeneous boundary conditions, skewed system, unprimed frame, orthonormal coordinate systems, regular vectors, contravariant components, contour deformation
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Find the Laurent, Helmholtz's Theorem, Cauchy's Integral Formula, Find the Taylor, Green's Theorem, Finite Real Number, Inserting Equation, Comparing Equations, Use Laplace
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