Book

A Few Books

The following is a poorly organized, typo-ridden book list that I have kept over the years. I've quit listing authors, since the web makes it so easy to find everything. Interesting books in the areas of General Reading, Sailing, Economics, Computer Science, and Mathematics are all listed in a rather random order. Some of them have a name after them to remind me who recommended them to me!

General Reading

Girl with the Dragon Tatoo -- (it's a trilogy)
Life, Keith Richards, because anything about the Rolling Stones is interesting, no matter how poorly written...
Harry Truman's Biography
Creative Intelligence, Sternberg
The Mind's Eye, West
Ahab's Wife
Stephen King and Dean Koontz
Anything by John Irving
Ayn Rand, Atlas Shrugged and Fountainhead
De Hartog, Peacable Kingdom and Lamb's War
How to Make Money in Wallstreet, Roukeyser
Upton Sinclair, The Jungle
Knopf, The Man who Walked Trough Time
Allan Bloom, The Closing of the American Mind
Heinlein, Friday, the moon is a harsh mistress
Burns, Olive Anne, Cold Sassy Tree
Twain, Mark, anything he wrote
Rudyard Kipling, The light That Failed, Kim
Fox? Price?, Southern Fried Plus Six
Brown, Claude, Manchild in Promised Land
Zappa, Frank, The Frank Zappa Book
Buffet, Jimmy, The Jimmy Buffet Short Story Book
Hawking, Stephen, A Brief History of Time
Carl Hiaasen, Tourist Season & all his others!
Pirsig, Alan, Zen and the Art of Motorcycle Maintenance
Pileggi, Wise Guy
John Varley, Titon-Wizard-Demon
Willeen Gibson, Neuromancer, county zero, monalisa, overdrive
George Effinger, When Gravity Fails, A Fire in the Sun
Trerman, Kernighan and, Shibumi
Eiger Sanction
Dune,
The Godfather
A Clockwork Orange

Sailing

Buckley, William F. - Airborne (or any of his other books)
Marchaj, Czesaw A., Sailing Theory and Practice, NSU has I
Marchaz, C. A., Aerohydrodynamics of Sailing
Cruising in Serrafin
Perfect Storm
Good Old Boat Magazine (ok, so it's not a book)
Master and Commander

Economics
(recommended by Allin Cottrell, cottrell@wfu.edu)

Paul Krugman, Peddling Prosperity
Robert Eisner, The Misunderstood Economy

Computer

Ritchie, Programming in
Matematica in Action, Stan Wagon (math using mathematica)
Exploring Matematcics with Mathematica, Theo Gray and Jerry Glynn
A Practical Guide to Unix System, Mark G. Sobell (a bit dated)
Unix -G. Tan.
Unix C-Shell Guide, Anderson
Unix Systems, Hunter
Understanding Unix, Kelly Bootle
Unix on Command
Berkley Unix Environment, Horspool
A C Reference Manual, Harbison and Steele publisher = tartan laboratories

Mathematics

Operations Research

Hillier and lieberman - Intro to OR
B.O. Coopman - Operations Research
AMS - Memoirs on OR

Reference

Foland Blowinski - Numerical Methods for Nonlinear Variational
Problems - has lots of flo information/references
Joel Smoller, Flow Problems(?) Springer Verlag ('83?)
John Ball - Elasticity problems good for gradient work
Terry McCabe - dissertation here '86
Craig Evans - book in AMS Series, weak convergence, which has apps in st. descent

Difference Equations

Difference Equations - Mickens
Difference Equations - Lakshmikantham
Schaums Outline
Intro to D.E. - Goldberg

General Mathematics

Halmos, I Want to be a Mathematician
EDM (Encyclopedic Dictionary of Mathematics), The MIT Press

55 Hayward Street Cambridge MA 02142 617 625 8569

800 356 0343)

Math

Churchill, Operational Mathematics
V.I. Arnold, Classical Methods on Modern Mechanics
W.D. Curtis and F.R. Miller, Differential Manifolds ^ Theoretical Physics
Shutz, Geometrical Methods of Mathematical Physics UG
Halmos, Naive Set Theory ^ Finite Dimensional Vector Spaces
Gleason, Fundamental Abstract Analysis
Suppes, Axiomatic Set Theory

Topology

Baker, intro to topo - I like this 150 page simple text
Bryant - cambridge press - metric spaces - doug likes this simple metric
Willard, general topology - my graduate courses text
Kelley General Topology
Patty, C. Wayne Foundations of Topology
Kasriel, Robert H. Undergraduate Topology
Mendelson, Bert introduction to topology
Baum, John D. Elements of Point set topology

Differential Geometry

Manfredo P. Do Carmo, Differential Geometry of Curves and Surfaces UG
JJ Stoker, Differential Geometry UG
S.S. Cern, A Collection of Papers
Laugwitz, Differential Geometry
Wilmer, DG
M Spivak, 5 Volume set on DG
Millman, name?
lipShutz, Tall Book, Thin, Pictures UG
Hirzebruch Diff Man ^ Quad Forms UG
Lafontaine, Reimmanian Geometry UG
Matsushima, Diff Man UG
Klingenberg, A Course in Diff Geom GTM

Probability

Kai Lai Chung, A course in probability theory (seems good) HBW

Patrick Billngsley, probability and measure (Wiley Series in Prob ^ Ma)

Numerical Analysis

Kahaner, Moore, Nash, N.M. and Software, (prentice hall series well written, very correct, no typos, loved by Renka.)

Ortega, Iterative Methods ... (NSU lib)
Conte and DeBoor - UNT used this one, small book, bad one
Burden, Faires, Numerical Analysis
Mathews: N. Methods for Mathematics, Science, and Eng.
Acton, Num. Meth which usually work. MAA paperback.
Ames, N.M. for PDE - Ac Press '92 - Renkka recom.
Kincaid/Cheney: Pladdy used this for ug na course at NSU
Householder, rec. by Neuberger, spent time at ORNL
Hageman, Young - has conjugate gradient in it Ch 7 Ac Press CS ^ Appl'd Mth

Optimization

Hestenes, Magnus Conjugate Direction Methods in Optimization
Ortega, Reinholt, Iterative Solns to Nonlinear Eqns in Sevearal Variables
Hestenes, Opt. Thy, F.D Case '75
Hestenes, Opt. Control and D.E. '78
Optimum Seeking Methods - Wilde, Douglass J., Prentice Hall

Calculus of Variation

Cragg has bood book, COV

Generalized Derivatives

tony zettl - non-singular stuff w/ gen der ( D_1u = pu' )
don henton - u of tx
craig evans book on weak convergence also see our notes on sturm louisville eqn, p nowhere diffble but (pu') diffbl

Real Analysis

Conway, J.B. Functions of 1 Complex Variable, Springer G
Lange, Serge, Complex Analysis, Springer G
Rudin, Real and Complex Analysis
Lange, Serge, Real Analysis Addison and Wesley
Royden, Real Analysis (UG and G texts)
Rudin, Real Analysis (harder than Roydens G text)
Diendonne, Treatsie on Analysis 10 Volumes
Serge Lange, Intro to Analysis (UG)

Complex Analysis

Spiegel, Schaums Outline
Ahlfors, Complex Analysis
Churchil, Complex Variables and Applications

Functional Analysis

Rudin, Walter, Functional Analysis (has de app section!)

Phillips Hilla, Semi-Groups and F.A. book (recommended by Neuberger)
Goffman and Pedrick (good/readable/dford has copy)
Riesz and Sz.-Nagy, F.A.
Dunford/Schwartz

Taylor (Angus) (waltman says good/readable)
George Cell
Kartorovick (hard/classic/waltman)
Akhizer, Theory of linear Operators and Hilbert Spaces good/readable/walt, good Neuberger)
Debnath, Lokenath
Adams, something about Sobolev Spaces (Neuberger)
H. Brezis Nonlinear Semi Groups and Accritivy Operators (Neuberger)
DaPrato, ??? in italian (Neuberger)
Ciarlet, something about finite element method

Sobolev Spaces

Adams - Sobolev Space book (rec. Neuberger)
H.BREZIS Analyse fonctionnelle theorie et applications, Masson,Paris, 83 also available in english at Springer-Verlag

DAUTRAY-liONS Analyse mathimatique et calcul numirique pour lessciences et les techniques, Vol. 3, Masson, Paris, 84 also available in english at Springer or ?

A.FRIEDMAN P.D.E, Krieger, Florida, 76
KESAVAN Topics in functional analysis & applications, Wiley, 89
MARTI Introduction to Sobolev spaces and finite elementsolution of elliptic boundary value problem, Academic press,NY, 91 or 92

TREVES Basic linear PDE, Academic press, NY, 75
WLOKA, Partielle differentiale Gleichungen, Teubner, Stuttgart, 82
A.KUFNER et al. Function spaces, Noordhof International Publishing,

Leyden, 77 Apart from the classical work of Adams, Necas,

lions-Magenes I found a treatise covering a wide variety of

Sobolev-type spaces and seemingly understandable:

Applied Mathematics

Murray, Gill, Wright, Operations Research(?) following a non-linear restraint

Ordinary Differential Equations

McKelvey, Robert, Lectures on ODE (oscillation and perturbation thy)
Hale, ODE (G)
Coddington/Levinson, ODE (G)
Hereowitcz, MIT Press, Stability Theory
Reinhard, ODE, recommended Sylvia/Robin
Dan Henry, Geometric Theory of Semi-linear Parabolic Equations

Numerical Partial Differential Equations

Greenspan, Donald, Lectures on Numerical Soln of linear, Singular,and Nonlinear DE (mostly pde, incredibly readable)

A NUMERICAL liBRARY IN C FOR SCIENTISTS AND ENGINEERS

This book contains an extensive coverage of computer programs in numerical computing, with several hundred procedures including areas in linear Algebra Ordinary and Partial Differential Equations(stiff and non-stiff systems) Optimization Parameter Estimation Special Functions in mathematical physics. A diskette is included with all the source code.

Partial Differential Equaions

Avner and Friedman, PDE of Parabolic Type
Kinderlehr and Stampaccia, Variational Inequalities
Solving PDE's with characterstics, Dorothy Bernstein from Princeton
Shor, Minimizing Non-difflb functions, weighted gradients (jmn)
Necas, lions-Magenes and Adams, Sobolev Space Books (hard)
Brezis, H., "Analyse Fonctionnelle - Theorie et applications",

3e tirage Masson, 1992. Apparently there is a companion

exercise book, but I am not sure it has been published already

(I have a 1992 edition of the textbook, and it says that the

exercise book is "a paraitre".). If it has come out, I would

like to know.

Unbdd lin Op - S. Goldberg (recommended by Kauffman)
Spectral Thy and PDE - Edmunds and Evans (recommended by Kauffman)
Sprin Verl Lect Notes Kauffman, Read, Zettl
Debnath, Lokenath
Berger, ??? (recommended by neuberger)
Phillips Hilla, Semi-Groups and F.A. book (recommended by Neuberger)
Churchill, Fourier Series and BVP
Fife, P, Mathematical Aspects of Reacting and Difusing Systems
Lecture Notes in Biology/Math Vol 28 Springer 1979
Berger, M, Non-linearity and Functional Analysis
Pure and Applied Math Series Monograph Vol 74 Academic Press 1977

gives a good listing of non-linear problems...geodesics,

minimal surfaces, uniformization, newtonial mechanics

Aubin, T, Non-linear Analysis on Manifolds
Equations of Mone-Ampere Type Springer 84-85
Garabedian, PDE (good, relies on complex analysis)
S.G. Michlin, Lectures on PDE
M. Protter and H. Weinberger, Maximum Principles for PDE (great, TED)
D. Gilbarg and N. Trudinger, Elliptic PDE of Second Order
Daniel Zwillinger, Handbook of Differential Equations (Ahmed Rashid)
Courant and Hilbert, Methods of Mathematical Physics
Adams - Sobolev Space book

Advanced Calculus

Ostebee and Zom, Multivariate Calculus - dad says look
much better than harvard materials...
Multivariable calculus published by Wiley written by the consortium at Harvard (don't really recommend it although it is not bad...)
Courant's Calculus book, volumes I and II, (pop rec)
Advanced Calculus by R. C. Buck. (pop rec)
Lang, Serge
Osserman, Robert, Two Dimensional Calculus

Algebra

Algebra I, high school book by Saxon
Gaal, Classical Galois Theory
Sagle-Walde, Intro to lie Groups and lie Algebras G
Buchtall ^ Cameron, Modn Abstract Algebra, vicki
Crowell ^ Fox, ?, vicki

linear Algebra

lin Alg and its App, Gilbert Stang (strang?)
NonNeg Mat adn App Topics in lin Alg, Alex Graham

Math History

Phillip Davis/Reuben Hersch, The Mathematical Experience
James R. Newman, The World of Mathematics
Halmos, Paul R., I Want to be a Mathematician