Applied Math for Engineers

A Listmania! list by Kris
The list author says: "Applied math is sort of in a funny place. Since it is applied, it is usually tied to a non-mathematical field (e.g., physics, elastics, fluid mechanics) which eases you into the math, based on your knowledge of that field.

Once you get the math, you start reading applied math books from fields that you don't know, and suddenly you start learning those fields too, because now it is the math that is familiar, rather than the application. Applied math is the language that all engineers speak, no matter what field they come from. That being said, I come from a geology/hydrology background, so the fluids and hydrology books are most familiar for me."
Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory (v. 1)
1.  Advanced Mathematical Methods for Scientists and Engineers: Asymptotic Methods and Perturbation Theory (v. 1) by Carl M. Bender
The list author says:
  "An incredibly well-written book that is full of gems.  It has both wonderful explanations in the text, and really insightful and worked-out difficult problems. The problems make excellent self-study material. Most engineers don't realize there are very elegant and powerful methods to approximate differential equations besides techniques like finite difference and finite element."
$63.31   Used & New from: $50.20
4.7 out of 5 stars  See all reviews (22 customer reviews)

Mathematics Applied to Deterministic Problems in the Natural Sciences (Classics in Applied Mathematics)
2.  Mathematics Applied to Deterministic Problems in the Natural Sciences (Classics in Applied Mathematics) by C. C. Lin
The list author says:
  "A classic book that not only discusses technique, but motivation and reasoning, with a fair amount of prose (most applied math books by mathematicians are fantastically terse).  Excellent examples."
Used & New from: $21.69
4.8 out of 5 stars  See all reviews (5 customer reviews)

See buying options
Mathematical Analysis, Second Edition
3.  Mathematical Analysis, Second Edition by Tom M. Apostol
The list author says:
  "An excellent, concise book on advanced calculus and analysis.  Most of the tools you need in applied math are covered here.  This book isn't always easy, since it is quite mathematical and sometimes abstract, but always methodical."
$101.19   Used & New from: $51.48
4.8 out of 5 stars  See all reviews (23 customer reviews)

Advanced Engineering Mathematics (2nd Edition)
4.  Advanced Engineering Mathematics (2nd Edition) by Michael D. Greenberg
The list author says:
  "This is a pretty good self-contained introduction to Applied Mathematics for engineers.  It is a bit on the big side, but it has good problem sets that often serve to extend the material presented in the text.  The two notable things missing are Green's functions and linear algebra."
$181.10   Used & New from: $49.10
4.3 out of 5 stars  See all reviews (42 customer reviews)

Introduction to Applied Mathematics
5.  Introduction to Applied Mathematics by Gilbert Strang
The list author says:
  "This is an excellent non-standard intro to applied math.  Strang is conversational in his tone (which can deceive you into thinking the material is easy) and makes interesting connections between various parts of applied math and he covers topics usually not covered in intro books (e.g., Kalman filters and chaos).  He jumps around, which makes it frustrating sometimes to look one thing up."
Used & New from: $55.00
4.1 out of 5 stars  See all reviews (11 customer reviews)

See buying options
Applied Analysis (Dover Books on Mathematics)
6.  Applied Analysis (Dover Books on Mathematics) by Cornelius Lanczos
The list author says:
  "An incredible book.  Just as an example, Lanczos was making up numerical inverse Laplace transform algorithms in the 1950s (most published numerical algorithms are from the 70s). Great description of the eigenvector/value problem and his famous "tau" method (solve an approximate form of the problem exactly)."
$17.02   Used & New from: $5.80
4.4 out of 5 stars  See all reviews (7 customer reviews)

Linear Differential Operators
7.  Linear Differential Operators by Cornelius Lanczos
The list author says:
  "Linear algebra and differential equations are really the same thing.  Greens functions, too. This book is both well written and full of incredible insight.  Like an older version of one of Strang's books."
Used & New from: $9.09
5.0 out of 5 stars  See all reviews (7 customer reviews)

See buying options
Applied Partial Differential Equations: With Fourier Series and Boundary Value Problems, 4th Edition
8.  Applied Partial Differential Equations: With Fourier Series and Boundary Value Problems, 4th Edition by Richard Haberman
The list author says:
  "A good modern introductory text on PDEs that does a fairly good job introducing the more difficult theoretical aspects, as well as covering the basics. Good coverage of Green's functions and generalized Fourier series."
Used & New from: $24.99
3.6 out of 5 stars  See all reviews (25 customer reviews)

See buying options
Boundary Value Problems and Fourier Expansions (Dover Books on Mathematics)
9.  Boundary Value Problems and Fourier Expansions (Dover Books on Mathematics) by C. R. MacCluer
The list author says:
  "A high-level introduction to the modern take on the Separation of Variables approach (using Hilbert spaces).  Very clear language, an almost conversational tone, and good examples throughout."
$15.72   Used & New from: $4.41

Matrix Computations (Johns Hopkins Studies in Mathematical Sciences)(3rd Edition)
10.  Matrix Computations (Johns Hopkins Studies in Mathematical Sciences)(3rd Edition) by Gene H. Golub
The list author says:
  "although not an easy read, a very useful book.  The third edition is not so wrought with typos as the previous editions; If you understand Matlab syntax, this book will be an easier go."
Used & New from: $19.35
4.4 out of 5 stars  See all reviews (35 customer reviews)

See buying options
The Algebraic Eigenvalue Problem (Monographs on Numerical Analysis)
11.  The Algebraic Eigenvalue Problem (Monographs on Numerical Analysis) by J. H. Wilkinson
The list author says:
  "A classic.  From the 1960s, but it will give you a real understanding of the foundational material in the subject; much more detail than Golub & van Loan.  Wilkinson invented much of the current foundation of numerical analysis of matrices; the guy knows his stuff."
$118.38   Used & New from: $60.11
5.0 out of 5 stars  See all reviews (1 customer review)

Special Functions of Mathematics for Engineers, Second Edition (SPIE Press Monograph Vol. PM49)
12.  Special Functions of Mathematics for Engineers, Second Edition (SPIE Press Monograph Vol. PM49) by Larry C. Andrews
The list author says:
  "This is better than most books on special functions.  It gives actual examples of them being used, and has a great deal on hypergeometric functions, which are typically skimmed in most books.  The coverage on Bessel functions is quite good too."
Used & New from: $90.99
4.5 out of 5 stars  See all reviews (2 customer reviews)

See buying options
Worked Problems in Applied Mathematics (Dover Books on Mathematics)
13.  Worked Problems in Applied Mathematics (Dover Books on Mathematics) by Richard A. Silverman
The list author says:
  "Although most of the problems in this book are not worked out in detail, the problems themselves and the hints that are given are valuable.  Good coverage of non-standard coordinate systems and integral transforms."
$11.98   Used & New from: $1.70
3.3 out of 5 stars  See all reviews (3 customer reviews)

Heat Conduction, 2nd Edition
14.  Heat Conduction, 2nd Edition by M. Necati ÷zıșık
The list author says:
  "This is a well-organized and well-written book that systematically explores all the traditional avenues for solving the diffusion equation.  While not as famous as Carslaw & Jaeger, it is much better written and does not give results without explanation or derivation."
$195.05   Used & New from: $18.55
5.0 out of 5 stars  See all reviews (5 customer reviews)

An Introduction to Fluid Dynamics (Cambridge Mathematical Library)
15.  An Introduction to Fluid Dynamics (Cambridge Mathematical Library) by G. K. Batchelor
The list author says:
  "A clear but dense treatise on Fluid mechanics, but covering several topics not included in introductory books.  It was written for mathematicians trying to learn fluids, so many consider it to be too hard, but it is some good stuff."
$52.66   Used & New from: $39.68
4.2 out of 5 stars  See all reviews (19 customer reviews)

Turbulence, Coherent Structures, Dynamical Systems and Symmetry (Cambridge Monographs on Mechanics)
16.  Turbulence, Coherent Structures, Dynamical Systems and Symmetry (Cambridge Monographs on Mechanics) by Philip Holmes
The list author says:
  "This too is a fluids book, but it is about turbulence.  The text is written very well, and it describes what turbulence means and the implications at a somewhat introductory level, although the mathematics in this book is not introductory.  Written for mathematicians who want to learn turbulence."
Used & New from: $55.97

See buying options
Geophysical Fluid Dynamics for Oceanographers
17.  Geophysical Fluid Dynamics for Oceanographers by Joseph J. Von Schwind
The list author says:
  "This is an geophysical fluid dynamics book, and is therefore quite mathematical.  He does a good job explaining the mathematics in clear English and giving some physical meaning to things.  Hard to find, but worth it."
Used & New from: $42.53

See buying options
Theoretical Hydrodynamics, fifth edition
18.  Theoretical Hydrodynamics, fifth edition 
The list author says:
  "This book is also a fluids book, but is more a math text.  This is good if you learn math by example and application.  Mostly about complex variables in 2D classical fluid dynamics.  Very dense and somewhat terse, but excellent."
Out of stock

The Feynman Lectures on Physics, Vol. 1: Mainly Mechanics, Radiation, and Heat
19.  The Feynman Lectures on Physics, Vol. 1: Mainly Mechanics, Radiation, and Heat by Richard P. Feynman
The list author says:
  "Feynman was a brilliant physicist and an excellent teacher.  Volumes 1 and 2 of the 3 volume set cover most of physics that engineers would need.  Even if you know the material, reading this will give you a deeper insight (e.g., gravitation and wave superposition)"
Used & New from: $57.20
4.7 out of 5 stars  See all reviews (19 customer reviews)

See buying options
Dynamics of Fluids in Porous Media (Dover Civil and Mechanical Engineering)
20.  Dynamics of Fluids in Porous Media (Dover Civil and Mechanical Engineering) by Jacob Bear
The list author says:
  "Though this book is about groundwater, mathematically it is very rigorous and carefully uses the representative elementary volume and volume averaging approaches to derive most of the aquifer flow equations from basic principles."
$23.46   Used & New from: $13.42
4.4 out of 5 stars  See all reviews (10 customer reviews) | 1 customer discussion

Applied Mathematics in Hydrogeology
21.  Applied Mathematics in Hydrogeology by Tien-Chang Lee
The list author says:
  "This is a great resource for worked-out integral transforms (Laplace and Hankel).  He gives the details of the aquifer test solutions not given in the papers that originally derived them."
$117.91   Used & New from: $59.62
4.0 out of 5 stars  See all reviews (1 customer review)

The Transforms and Applications Handbook, Second Edition (Electrical Engineering Handbook)
22.  The Transforms and Applications Handbook, Second Edition (Electrical Engineering Handbook) by Alexander D. Poularikas
The list author says:
  "A giant reference on most of the integral transforms in use, slanted towards the Fourier and related transforms.  Loads of worked-out examples.  Probably the most accessible introduction to the more esoteric transforms (those other than Laplace or Fourier) for engineers."
Used & New from: $165.99

See buying options
Introduction to Partial Differential Equations and Hilbert Space Methods (Dover Books on Mathematics)
23.  Introduction to Partial Differential Equations and Hilbert Space Methods (Dover Books on Mathematics) by Karl E. Gustafson
The list author says:
  "Though a bit breezy at times, this a good unifying book on what it means to solve PDEs in engineering."
$13.97   Used & New from: $5.93
3.7 out of 5 stars  See all reviews (6 customer reviews)

Transport Phenomena, Revised 2nd Edition
24.  Transport Phenomena, Revised 2nd Edition by R. Byron Bird
The list author says:
  "a classic unifying textbook about transport theory (momentum, energy, and mass).  It does a great job drawing analogies between topics, and is fairly methodical.  It has good coverage of tensors (albeit in a non-standard way) and cylindrical and spherical coordinate systems.  I have the brick-red first edition."
$204.61   Used & New from: $63.19
4.2 out of 5 stars  See all reviews (42 customer reviews)

Mathematical Methods for Physicists, Sixth Edition: A Comprehensive Guide
25.  Mathematical Methods for Physicists, Sixth Edition: A Comprehensive Guide by Hans-Jurgen Weber
The list author says:
  "a very good introductions to both variational calculus and tensors; things often only skimmed in other books (or they assume you already know it).  This assumes you already know quite a bit of physics, but it is pretty gentle with the math it introduces : complementary to books like those by Shadowitz an Graff in this list."
Used & New from: $29.90
2.9 out of 5 stars  See all reviews (69 customer reviews)

See buying options
Methods of Theoretical Physics, Parts 1 and 2
26.  Methods of Theoretical Physics, Parts 1 and 2 by Philip Morse
The list author says:
  "These are incredibly dense with information and insight.  The theme of Green's functions, eigenfunction expansion and integral transforms show up throughout the two volumes.  One of the best references available on the use of non-standard coordinate systems and the eigenfunction that arise in them."
Used & New from: $209.00
5.0 out of 5 stars  See all reviews (6 customer reviews)

See buying options
A Guided Tour of Mathematical Methods: For the Physical Sciences
27.  A Guided Tour of Mathematical Methods: For the Physical Sciences by Roel Snieder
The list author says:
  "This is a non-conventional book.  It covers a very large amount of ground quickly.  Most of the sections are comprised of a concept, followed by problems and hints, used to introduce more advanced concepts."
$49.93   Used & New from: $32.50
3.7 out of 5 stars  See all reviews (11 customer reviews)

The Electromagnetic Field (Dover Books on Physics)
28.  The Electromagnetic Field (Dover Books on Physics) by Albert Shadowitz
The list author says:
  "an excellent self-contained introduction to Electromagnetic fields, including special relativity.  You need to know some math before this book will be useful, but it is expertly written to minimize logical jumps and nearly everything is explained succinctly yet fully."
$17.17   Used & New from: $3.43
4.1 out of 5 stars  See all reviews (10 customer reviews)

Wave Motion in Elastic Solids (Dover Books on Physics)
29.  Wave Motion in Elastic Solids (Dover Books on Physics) by Karl F. Graff
The list author says:
  "clear, with loads of examples.  This book and its appendices introduce most of the mathematics required for elastic wave propagation (e.g., tensors, integral transforms), albeit in a rather terse way.  In some ways this is a more condensed and simpler form of Morse & Feshbach."
$14.07   Used & New from: $9.07
5.0 out of 5 stars  See all reviews (4 customer reviews)

Quantum Mechanics for Applied Physics and Engineering (Dover Books on Physics)
30.  Quantum Mechanics for Applied Physics and Engineering (Dover Books on Physics) by A. T. Fromhold
The list author says:
  "This is a good introductory book to quantum mechanics, if you are comfortable with intermediate applied math.  It also is full of fairly detailed examples of using applied math to solve sometimes rather complex problems."
$20.96   Used & New from: $2.46
4.3 out of 5 stars  See all reviews (3 customer reviews)

Advanced Engineering Mathematics with MATLAB, Third Edition
31.  Advanced Engineering Mathematics with MATLAB, Third Edition by Dean G. Duffy
$109.43   Used & New from: $28.98

Mixed Boundary Value Problems (Chapman & Hall/CRC Applied Mathematics & Nonlinear Science)
32.  Mixed Boundary Value Problems (Chapman & Hall/CRC Applied Mathematics & Nonlinear Science) by Dean G. Duffy
$103.71   Used & New from: $49.94

The Use of Integral Transforms
33.  The Use of Integral Transforms by Ian Naismith Sneddon
The list author says:
  "One of the best books on integral transforms and their use.  Clearly written with good examples.  It is more practical than most books on the topic."
Used & New from: $29.27

See buying options
Periodic differential equations;: An introduction to Mathieu, LameŐĀ, and allied functions, (International series of monographs in pure and applied mathematics)
34.  Periodic differential equations;: An introduction to Mathieu, LameŐĀ, and allied functions, (International series of monographs in pure and applied mathematics) by F. M. Arscott
The list author says:
  "While this book is hard to find outside university libraries, it is an excellent book on the somewhat esoteric topic of periodic differential equations, including Mathieu, Lame, and other high-order special functions.  Well-written and insightful."
Used & New from: $175.00

See buying options
The Handbook of Integration
35.  The Handbook of Integration by Daniel Zwillinger
The list author says:
  "A well-organized and modern treatment of the tricks and techniques of integration in one place.  Concise and packed with little nuggets of info that would be hard to find quickly elsewhere."
$76.57   Used & New from: $6.59
5.0 out of 5 stars  See all reviews (1 customer review)

NIST Handbook of Mathematical Functions
36.  NIST Handbook of Mathematical Functions by Frank W. J. Olver
The list author says:
  "This is the long-awaited revision of Abramowitz & Stegun's epic book on special functions.  There is a website that goes with it (http://dlmf.nist.gov/).  The book nicely summarizes most of what is known and in general use regarding special functions and applied math methods."
$50.04   Used & New from: $29.09
4.7 out of 5 stars  See all reviews (11 customer reviews)

Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review (Dover Civil and Mechanical Engineering)
37.  Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review (Dover Civil and Mechanical Engineering) by Granino Arthur Korn
The list author says:
  "Everybody needs a "go-to" book for looking up equations or relationships that you know of, but can't remember the details.  It can serve as a dictionary of mathematics too, since it has a good index and covers basically everything.  More useful than Abramowitz & Stegun for most engineers (unless you are heavy in special functions)."
$31.24   Used & New from: $20.82
4.7 out of 5 stars  See all reviews (18 customer reviews)

More Actions

Discover more about this author
 See all of their Listmania! lists
Make your own list
 Create a Listmania! list
View your page on Amazon.com
 Go to Your Profile page

Customer Discussions about products in this list  
   

About this Listmania!

 

Author

Kris
Qualifications: environmental engineer
Last updated: 6/5/13
Report abuse
    

More Listmania!

 

Mathematical Analysis Mathematical Analysis

Mathematical Analysis: A list of 40 items by Sam Adams

Calculus and analysis Calculus and analysis

Calculus and analysis: A list of 20 items by Luke

PhD in Statistics from the ground up PhD in Statistics from the ground up

PhD in Statistics from the ground up: A list of 35 items by A Customer

Numerical Methods for Engineers Numerical Methods for Engineers

Numerical Methods for Engineers: A list of 26 items by Kris

   

More So You'd Like to...

 

Learn and use Special Functions Learn and use Special Functions

Learn and use Special Functions: A guide of 44 items by Kris