A Few Books
The following is a poorly organized book
list that I have kept over the years. 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
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
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
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