These are books I recommend:

I Ching.
        The oldest and greatest divinatory tool. More than an oracle, the I Ching is a map of
        the universe. I've consulted the I Ching since I was sixteen, and its subtle language
        has permeated throughout my perceptions. It's like having a baffling Yoda-like creature
        to bounce your hunches off. It pranks on you if you consult it too often.

The Iliad, by Homer
The Odyssey, by Homer
    Especially the translations by Robert Fagles, and by Robert Fitzgerald.
        The greatest two poems ever written. Contrasted with this modern age, where poetry
        is largely irrelevant, these poems built an entire civilization, and stood as the index
        of its values. The Iliad is about the obligations of war and the terrible consequences
        of a single man's anger, but it is so much more than that. I have the Iliad (and the
        Odyssey) read on audio tape, and I play them just as I am going to sleep. A number of
        times, I have woken up in the middle of the night weeping because the section of the
        poem playing is so moving. When Hector and Andromache comfort each other on the
        tower in Troy, when Odysseus finds so many dead companions in Hades, Agamemnon's
        description of Achilles' funeral, and his comparison with his own death, when Odysseus
        reveals himself to his father, Laertes; all of these scenes are more powerful than anything
        else in literature. Homer created an aesthetic, and nobody else has ever come near achieving it.

The Elements, by Euclid
        Forget every nitpicking mistake found in here by quibblers over the last two millenia. The
        Elements is a unique human document, and a profound work of Genius. Can you
        imagine a contemporary mathematician writing a textbook that will still be in use in
        4000 AD? Read the Elements. Read the Elements. Euclid shows a sophisticated algebra
        of geometric forms a millenium before Al-Khowarizmi invented symbolic algebra. And, for
        those of you who are math-phobic, Euclid doesn't even get to numbers until Book 6 or 7.
        Ever visit a public high school and see what passes for Geometry these days? No wonder
        undergrads can't do proofs anymore. A century ago, anyone who wanted to learn math
        began with The Elements. Since then, there have been many changes in what mathematics
        has become, but nobody has come up with an elemental approach that incorporates the
        landscape of modern mathematics the way Euclid has done with the mathematics of his
        time. Let's face it: the current pedagogy of mathematics is fucked. If a government think
        tank were given the task of making math-phobic as many US citizens as possible, I'm sure
        it would decide it didn't need to change the status quo. No wonder I'm so nostalgiac for
        Euclid, now more than ever. And, for those of you who have heard the term without
        knowing fully what itmeans: Non-Euclidean Geometry doesn't refute the Geometry of The
        Elements, but takes a beautiful system and makes it even more beautiful. Non-Euclidean
        Geometry takes nothing away from Euclid, but complements it.

Any Stories about Mullah Nasrudin, especially
    Exploits of the Incomparable Mulla Nasrudin,
    Pleasantries of the Incredible Mulla Nasrudin, both by Idries Shah

The Divine Comedy, by Dante Aligheri
    Inferno
    Purgatorio
    Paradiso

Al-Muqaddimah, by Abd-ar-Rahman Abˆª Zayd ibn Khaldˆªn
        The first work of historiography ever written. ibn Khaldˆªn is the sanest kind of Aristotelian,
        a Sufi, and a very unique rationalist in that for him, men and djinn coexist. His theory of
        history is fascinating, and greatly informs my view of the 21st century. For him, the human
        world is divided into wild people, and civilized people; for him, the Bedouin and the medieval
        urban Muslim are the two polar extremes. The city people generate wealth, culture, technology,
        and reason. They lose their moral fiber through decadent living, and become fat, weak, lazy,
        and sinful. Meanwhile, the wild people are hungry, wiry and pious. They are closer to God
        because they do not have the distractions the city people do. Eventually, the wild people sack
        the cities. Their genetic stock fortifies the indolent urban gene pool, their piety reinvigorates
        the religious life of the city, and their austerity reforms the city. On the other hand, the town
        people teach reason, science, technology and culture to the wild people, and get them to be
        less savage and cruel. After a few generations, the invaders and the urbans are indistinguishable
        from each other, and a new crop of wild people come and sack the cities. This is the cycle of
        history. Very compelling.

The Prince, by Niccolˆ¾ Machiavelli

The New Science of Giambattista Vico, by Giambattista Vico

The Manuscript Found in Saragossa, by Jan Potocki
        Let us praise the Great Sheikh of the Gomelez, upon whose mention may there be peace. We are
        We are all in his service, so let us succeed in our Great Work. The highest of the sciences is
        mathematics, and the highest mathematics is analysis. Thus saith Diego Hervas
.

The Poetry and Prose of William Blake, by William Blake

The Narrative of Arthur Gordon Pym of Nantucket , by Edgar Allan Poe: The Brief Cruise of this Latter Vessel in the Antarctic Ocean; Her Capture, and of the Massacre of Her Crew, among a Group of Islands in the 84th Parallel of the Southern Lattitude, together with the Incredible Adventures and Discoveries still further South, to which that Distressing Calamity gave Rise. influential Comprising the Details of a Mutiny and Atrocious Butchery on Board of the American Brig Grampus, on Her Way to the South Seas-- with an Account of the Recapture of the Vessel by the Survivors; Their Shipwreck, and Subsequent Horrible Sufferings, from Famine; Their Deliverance by Means of the British Schooner Jane Guy; 1838

The Economic and Philosophic Manuscripts of 1844 , by Karl Marx
The Marx-Engels Reader, by Karl Marx, and Friedrich Engels.

Moby-Dick, by Herman Melville

Personal Narrative of a Pilgrimage to Al-Madinah & Meccah, Capt. Sir  Richard F. Burton,

Flowers of Evil, by Charles Baudelaire
Paris Spleen, by Charles Baudelaire

Curve Tracing, by Percival Frost

Maldoror, and the Complete Works, by le Comte de Lautrˆ©amont, Isidore Ducasse (real name of Lautrˆ©amont). Alexis Lykiard translation.

The Pearl, A Journal of Facetiˆ¶ and Voluptuous Reading

Cyrano de Bergerac, by Edmond Rostand

Algebra : An Elementary Textbook for the Higher Classes of Secondary Schools and for Colleges, by George Chrystal
        Compare this to your high school algebra textbook, and weep for mankind.

The Wizard of Oz, by L. Frank Baum

A Course of Modern Analysis, by E. T. Whittaker and G. N. Watson
        
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The Law is for All, by Aleister Crowley
Book Four, by Aleister Crowley
777, by Aleister Crowley
Magick in Theory and Practice, by Aleister Crowley

The Wind in the Willows, by Kenneth Grahame

1905, by  Leon Davidovich Trotsky

Poems, by Wilfred Owen

Ulysses, by James Joyce
Finnegans Wake, by James Joyce

Siddhartha, by Hermann Hesse
Steppenwolf, by Hermann Hesse
Journey to the East, by Hermann Hesse

You Can’Äôt Win, by Jack Black

Winnie-the-Pooh, by A. A. Milne
House at Pooh Corner, by A. A. Milne

Elementary Mathematics from an Advanced Standpoint (2 vols.), by Felix Klein

The Story of the Eye, by Georges Bataille
        This book, a work of Surrealist pornography, taught me more about sexual fantasies than
        anything else I've ever read. No sexual fantasy is criminal. Our fantasies are limited only by
        our imaginations, and Bataille's imagination is unbounded. Mentioning the specifics of this
        book, separated from Bataille's hallucinatory prose, would kill the power that his book
        unleashes. Read it. You can read the whole thing in one sitting. Then make your own sexual
        fantasies into a similarly thrilling adventure.

The Complete Books of Charles Fort
    The Book of the Damned
    New Lands
    Lo!
    Wild Talents
         The first time I read The Book of the Damned, I got a little over 100 pages into the book,
        when a voice from my subconscious mind told me that, if I read any more of the book, I
        would go stark raving mad. I put it away. A year later, I picked it up again, and read it in
        full. The only other book that has had that effect on me is VALIS, by Philip K. Dick. Fort
        is fully aware of what he is doing to his reader, and he enjoys twisting the knife. Imagine
        that fully real things are red, and that fully imaginary things are yellow. Fort asks us at
        what shade of orange are we going to reject things, because they are all orange, none red,
        and none yellow. Follow him if you can.

The Theory of Groups and Quantum Mechanics, by Hermann Weyl

The Principles of Quantum Mechanics, by Paul A. M. Dirac
        Dirac won the Nobel Prize for a book. This is the book. Dirac shared the prize with
        Schrodinger. The Nobel Committee felt this book was on par with the Schrodinger
        equation as a contribution to physics.
 

Brave New World, by Aldous Huxley
Doors of Perception, by Aldous Huxley

Tropic of Cancer, by Henry Miller
Tropic of Capricorn , by Henry Miller
The World of Sex, by Henry Miller

ABC of Reading, by Ezra Pound

Geometry and the Imagination, by David Hilbert and Stefan Cohn-Vossen
       
One hundred pages on Differential Geometry without the assumption that the reader knows
       
any calculus. Who does exposition like this anymore? Who writes with this much faith in the
       
intelligence of the reader? Where is the Hilbert of the 21st century? We need him.

Anything by H. P. Lovecraft, escpecially:
    At the Mountains of Madness and Other Novels
    The Dunwich Horror and Others
    Best of H. P. Lovecraft, The: Bloodcurling Tales of Horror and the Macabre

Anything by Clark Ashton Smith, especially:
    Tales of Zothique
    Genius Loci
    The Book of Hyperborea
    Rendezvous in Averoigne
    Dark Eidolon

The Road to Wigan Pier, by George Orwell
Homage to Catalonia, by George Orwell
Animal Farm,           by George Orwell
Nineteen Eighty-four, by George Orwell

Sexual Revolution, by Wilhelm Reich
Mass Psychology of Fascism, by Wilhelm Reich
Character Analysis, by Wilhelm Reich  

The Psychology of Man’Äôs Possible Evolution , by Petr D. Ouspensky

IG Farben, by Richard Sasuly

The Dada Painters and Poets, edited by Robert Motherwell

Catcher in the Rye, by J. D. Salinger
Nine Stories, by J. D. Salinger

How to Lie With Statistics, by Darrell Huff

The Story of O, by Pauline Rˆ©age

Anything by J. R. R. Tolkien, especially:
    The Hobbit
    The Fellowship of the Ring
    The Two Towers
    The Return of the King
    The Silmarillion
    Unfinished Tales

Howl, and Other Poems, by Allen Ginsberg

On the Road, by Jack Kerouac

A Coney Island of the Mind, by Lawrence Ferlinghetti

Synchronicity, by Carl Gustav Jung
Flying Saucers: A Modern Myth of Things Seen in the Skies, by Carl Gustav Jung
Mandala Symbolism, by Carl Gustav Jung

Classical Mechanics, by Herbert Goldstein

Survival in Auschwitz, by Primo Levi

The Banquet Years, by Roger Shattuck

Anything by William S. Burroughs, especially:
    Naked Lunch
    Ticket That Exploded

The Sot-Weed Factor, by John Barth

The Morning of the Magicians, by Louis Pauwels and Jacques Bergier

Stranger in a Strange Land, by Robert A. Heinlein, unabridged 1991 version

Catch-22, by Joseph Heller

One Flew Over the Cuckoo’Äôs Nest, by Ken Kesey
Kesey's Garage Sale, by Ken Kesey

A Wrinkle in Time, by  Madeleine l’ÄôEngle

Anything by Thomas Pynchon, especially:
    V.
    Slow Learner
    Crying of Lot 49
    Gravity’Äôs Rainbow

Anything by Kurt Vonnegut, Jr., especially:
    Cat’Äôs Cradle
    Slaughterhouse-Five, or The Children’Äôs Crusade: A Duty-Dance With Death
    Breakfast of Champions

In Watermelon Sugar, by Richard Brautigan
Trout Fishing in America, by Richard Brautigan
The Pill Versus the Springhill Mine Disaster , by Richard Brautigan

The Berkeley Student Revolt: Facts and Interpretations

The Autobiography of Malcolm X, by Malcolm X and Alex Haley

The Basketball Diaries, by Jim Carroll

Beautiful Losers, by Leonard Cohen

Been Down So Long It Looks Like Up To Me, by Richard Fariˆ±a

Society of the Spectacle, by Guy Debord

Kolyma Tales, by Varlam Shalamov

The Men in the Jungle, by Norman Spinrad
Bug Jack Barron, by Norman Spinrad

The Revolution of Everyday Life, by Raoul Vaneigem

Anything by Carlos Castaneda, especially:
    The Teachings of Don Juan: a Yaqui Way of Knowledge
    A Separate Reality: Further Conversations with Don Juan
    Journey to Ixtlan: The Lessons of Don Juan
    Tales of Power
    The Second Ring of Power
    The Eagle’Äôs Gift
    The Fire From Within
    The Power of Silence: Further Lessons of don Juan
    The Art of Dreaming

The Politics of War, by Gabriel Kolko

The Electric Kool-Aid Acid Test, by Tom Wolfe

The Atrocity Exhibition, by J. G. Ballard
Crash, by J. G. Ballard

Fear and Loathing in Las Vegas: A Savage Journey to the Heart of the American Dream, by Hunter S. Thompson

Situationist International Anthology

Watership Down, by Richard Adams

Ringolevio, by Emmett Grogan

The Center of the Cyclone, by John C. Lilly

The Gulag Archipelago 1918-1956, 3 volumes, by Aleksandr Solzhenitsyn

Anything by Samuel R. Delany, especially:
    Dhalgren
    The Motion of Light in Water
    The Mad Man
    Hogg
        I am obsessed with Delany, and I probably always will be. I still bite my fingernails because of
        him. I first read Dhalgren at 19, while living in Philadelphia, living in a city for the first time, no
        plans, no goals, no ambitions.  I was in my own Bellona, squatting with fellow scorpions, having
        the magical edges of my reality dictated to me by this incredible book. Dhalgren is real in a way
        that most of my life hasn't been, and when I feel nostalgia, what I miss is the psychotopographies
        of Bellona as laid out in Dhalgren. It is the greatest novel about a city ever written; any one of the
        Surrealists (Breton especially) would slit his throat to write a book half as good, but wouldn't have
        the balls to stomach the finished result.  The Motion of Light in Water taught me as much about
        sex as Henry Miller has, but in a totally different direction. And The Mad Man took what I'd learned
        so far to fascinating extremes. The Mad Man is a dare; a gauntlet thrown down in the age of AIDS,
        guaranteed to scare the shit out of just about everyone. And Hogg? Someday I will go to jail for
        owning a copy of Hogg, but it will be worth it. If all of my friends read Hogg on my recommendation,
        90% would stop being my friend, and I wouldn't need them anyway.

Strange Unsolved Mysteries, by Margaret Ronan
House of Evil and Other Strange Unsolved Mysteries , by Margaret Ronan

The Great War and Modern Memory, by Paul Fussell
Wartime, by Paul Fussell

The Illuminatus! trilogy, by Robert Anton Wilson and Robert Shea
    The Eye in the Pyramid
    The Golden Apple
    Leviathan
Prometheus Rising, by Robert Anton Wilson

The Wonderful Story of Henry Sugar, and Six More , by Roald Dahl

The Hitch Hiker’Äôs Guide to the Galaxy, by Douglas Adams
The Restaurant at the End of the Universe, by Douglas Adams

A Course in Mathematics for Students of Physics , by Paul Bamberg and Shlomo Sternberg
Symplectic Techniques in Physics
, by Victor Guillemin and Shlomo Sternberg
Group Theory and Physics
, by Shlomo Sternberg

UBIK
, by Philip K. Dick
Three Stigmata of Palmer Eldritch, by Philip K. Dick
A Scanner, Darkly, by Philip K. Dick
VALIS, by Philip K. Dick

The Book of the SubGenius, by J. R. ’ÄúBob’Äù Dobbs
Revelation X: The ’ÄúBob’Äù Apocryphon, by J. R. ’ÄúBob’Äù Dobbs

Acid Dreams: The CIA, LSD, and the Sixties Rebellion , by Martin A. Lee and Bruce Shlain

Blood Meridian; or The Evening Redness in the West , by Cormac McCarthy

To Win a Nuclear War: The Pentagon’Äôs Secret Plans , by Michio Kaku and Daniel Axelrod 

Ender's Game, by Orson Scott Card
Speaker for the Dead
,
Seventh Son
Red Prophet

A Little Book on the Human Shadow, by Robert Bly

Scandal: Essays in Islamic Heresy, by Peter Lamborn Wilson
Sacred Drift: Essays on the Margins of Islam , by Peter Lamborn Wilson

Tales of Beatnik Glory, by Ed Sanders

T.A.Z. The Temporary Autonomous Zone, Ontological Anarchy, Poetic Terrorism, by Hakim Bey

Trainspotting, by Irvine Welsh

Archaic Revival, The: Speculations on Psychedelic Mushrooms, the Amazon, Virtual Reality, UFOs, Evolution, Shamanism, the Rebirth of the Goddess, and the End of History, by Terence McKenna
True Hallucinations, by Terence McKenna

Deterring Democracy, by Noam Chomsky

The Making of the Atomic Bomb, by Richard Rhodes
Dark Sun: The Making of the Hydrogen Bomb, by Richard Rhodes

If You really Loved Me..., by Toby Green
The Men's Room, by Toby Green

Visual Complex Analysis, by Tristan Needham
        The best undergraduate math book ever written. I get very emotional when I think about this book.
        If you understand first-year calculus, this book will make sense, and you are morally obliged to
        read it!! The sad thing about mathematics is it takes a lot of drudgery to get to the good parts.
        Complex Analysis is the good part. This is what you've been waiting for all of your life. Here it is!
        This book represents everything I love about mathematics. If Professor Needham were in charge of
        math pedagogy for the USA, we'd all like math.

Elementary Real and Complex Analysis, by Georgi Shilov

Mathematical Thought From Ancient to Modern Times , by Morris Kline

The Exact Sciences in Antiquity, by Otto Neugebauer

Mathematics: Its Content, Methods, and Meaning (an anthology)

A Tour of the Calculus, by David Berlinski

Anything by Richard P. Feynman, especially:
    Surely You're Joking, Mr. Feynman
    What Do You Care What Other People Think: Further Adventures of a Curious Character
    Six Easy Pieces
    Six Not-So-Easy Pieces
    Lectures on Physics

Last Train to Memphis, by Peter Guralnick
Careless Love, by Peter Guralnick

Mystery Train, by Greil Marcus
Invisible Republic, by Greil Marcus
        Invisible Republic is the greatest description of the mystery of rock and roll ever put into prose. Rock is an ancient
        mystery religion-- insight, gnosis emerges when the terror and strangeness has been absorbed and transmogrified. Lead
        into gold, the wound of Amfortas healed, the mountain rooted down by the mole. The first time I heard Bob Dylan's
        Basement Tapes
, I felt that terror. I was afraid of Tiny Montgomery, of Silly Nilly, of the Coachman. I knew that
        there was no relief for me until the world of the Basement Tapes
was as real as the four walls of my bedroom. Now
        that it has become that familiar, there still is no relief. Rock and roll means never shaking the hell hound on your
        trail, no relief from the exasperated humiliation of begging Mrs. Henry to look your way and pump you a few. The
        ironic, elusive fantasy of the Million Dollar Bash always somewhere in the near future, with Rosemary waiting there
        to put it to you plain as day, and give it to you for a song.

Country: The Twisted Roots of Rock 'n' Roll , by Nick Tosches

Peacemaking Among Primates, by Frans de Waal

A Treatise on Plane and Advanced Trigonometry, by E. W. Hobson

Snow Crash
The Diamond Age
Cryptonomicon, by Neal Stephenson

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