Books to read- from vision 2020
History-
- Land of the seven rivers:A brief history of India's geography - Sanjeev Sanyal
- India Wins Freedom - Maulana Azad
- The essential writings of BR Ambedkar
- Being Hindu
- The great Indian Novel - Shashi Tharoor
- Permanent Record - Edward Snowden
- Sandworm: A new era of cyberwar - Andy Greenberg
- Leonardo Da Vinci - Walter Isaacson
- Find me - Andre Aciman
- Why read - Charles Dantzing
- On Writing - Stephen King
- Hitler - Ian Kershaw
Books on Trading-
- Mastering the trade - John Carter
- Trading in the Zone - Mark Douglas
- Definitive guide to position sizing - Van Tharp
- Market wizards - Jack Schwager
- Trading for a living - Alexander Elder
- Technical analysis of the financial markets: A comprehensive guide - John Murphy
- From the mixed-up files of Mrs. Basil E Frankweiler - EL Konigsburg
- A gentleman in Moscow - Amor Towles
- The Stand - Stephen King
- Americanah - Chimamanda Ngozi Adichie
- The Goldfinch - Donna Tartt
- Randall Munroe books How to, and What if
- How not to be wrong: the power of mathematical thinking - Jordan Ellenberg
- 21 session for the 21st century - Yuval Noah Harari
- For the love of Physics - Walter Lewin, Warren Goldstein
- Why we sleep - Matthew Walker
- 1089 - All that - David Acheson
- Inner engineering: a yogi's guide to joy - Sadhguru
- Deep Work - Cal Newport
- Principle of Physics - David Halliday, Robert Resnick Jearl Walker
- The Volatility smile - Emanuel Derman, Michael B Miller
- City Adrift - Naresh Fernandes
- What it is - Lynda Barry
- Animal Farm - George Orwell
- The Alchemist - Paulo Coelho
- The Rosie series (3 books) - Graeme Simsion
- The great hedge of india - Roy Moxham
- Man alone for himself - Friedrich Nietzsche
- The remains of the day - Kazuo Ishiguro
- R for data science - Hadley Wickham, Garrett Grolemund
- We found a hat - Jon Klassen
- Tender is the night - F Scott Fitzgerald
- Ham on Rye - Charles Bukowski
- Lolita - Vladimir Nobokov
- Prelude to mathematics - WW Sawyer
- What is mathematics - Ian Stewart, Herbert robbins Richard Courant
- A introduction to the theory of numbers - Ivan Niven, Herbert Zuckerman, Hugh L Montgomery
- Measurement - Paul Lockhart
- Arithmetic - Paul Lockhart
- The Anarchy - William Dalrymple
- The republic - Plato
From Medium.com - (forgot the name of author)
Classic Mathematics Books
Zero: The Biography of a Dangerous Idea. | Charles Seife
a great book that could make almost anyone love math
Measurement | Paul Lockhart
must read for math teachers
Prelude to Mathematics | W.W. Sawyer
This book is literally a classic and it is a very enjoyable read. It is
about how a mathematician thinks and how to grow a mathematician
Proofs from The Book | Aigner and Ziegler
contains only the “best” proofs from many different fields of
mathematics
should have the knowledge of calculus and linear algebra.
The Joy of x | Steven Strogatz
should be beginner's book
the content is coming from a long-running blog
Things to Make and Do in the Fourth Dimension | Matt Parker
It’s about “fun parts of mathematics.
What is Mathematics? | Courant and Robbins
it is about logic
A History of π | Petr Beckmann
so many smart people just spent their entire lives only for a number,
π,
An Imaginary Tale | Paul Nahin
x² + 1 = 0.
Isn’t this equation so beautiful. Absolutely brilliant. I think every
calculus students should read this book more than once. This book is
perfectly written and Calculus students would love it.
e: The Story of a Number | Eli Maor
see the discovery of first numbers, rational and irrational numbers
Imagining Numbers | Barry Mazur
how beautiful our imaginary numbers
Journey Through Genius | William Dunham
mathematics history
Prime Obsession | John Derbyshire
about Riemann Hypothesis, better understanding both zeta function and
complex numbers.
From
Mathblog.com
All The Math Books You’ll Ever Need
Abstract Algebra Books
by Joseph Gallian
by David S. Dummit and Richard M. Foote
Algorithms Books
by Thomas H. Cormen, Charles E. Leiserson and Ronald L. Rivest
Calculus I Books
Calculus, Vol. 1, 2
by Tom M. Apostol
Combinatorics Books
by Chen Chuan-Chong and Koh Khee-Meng
by John Harris, Jeffry L. Hirst, and Michael Mossinghoff
Differential Equations Books
by Martin Braun
Encyclopedias of Mathematics Books
by Timothy Gowers, June Barrow-Green and Imre Leader (Editors)
Foundations of Mathematics Books
by Herbert Enderton
Number Theory Books
by Gareth A. Jones and Josephine M. Jones
by G. H. Hardy, Edward M. Wright and Andrew Wiles
Probability Books
by Sheldon M. Ross
Real and Complex Analysis Books
by Walter Rudin
by N.L Carothers
"Data Analysis Using Regression and Multilevel/Hierarchical Models"
Andrew Gelman
Jennifer Hill
Causality: Models, Reasoning and Inference: Judea Pearl
Again somewhere from web:
Books, etc.
So, what should you read?
The very best introduction to math is 1089 and All That by Acheson. This is an amazing little book that gives you a
glimpse of practically every feature of math and is fantastically written
and very entertaining.
Another incredible book is Indra’s Pearls by Mumford,
Series, & Wright (now sadly rather expensive to buy, so try your local
library). Their idea was to explain a piece of completely grown-up,
cutting-edge mathematics but assuming you didn’t touch mathematics after
school. There’s no book like it — beautifully written, beautifully
illustrated, beautifully made.
If you’re struggling with the school curriculum, try
Measurement by Lockhart. He essentially covers all of school
mathematics (including calculus) after arithmetic, having thought long and
hard about how to explain it after quitting his job as a research
mathematician at a university and teaching in a school himself for 10+
years. (I find some of his philosophical opinions overbearing,
though.)
Once you get interested in the university curriculum, let
Mathematics: Its Content, Methods, and Meaning (ed.
Aleksandrov, Kolmogorov, & Lavrentev) be your guide. This is a deeply
touching book, a long survey of all of mathematics written by 20 of the
best Russian mathematicians of the mid-20th century. It’s comprehensive —
basically it covers an entire undergraduate mathematics degree — yet,
lucid — for many topics, it has the clearest explanations I’ve seen.
Some other ideas. There’s a famous series of books, all written by
mathematicians associated with the University of Göttingen in Germany in
the early 20th century, which are some of the most influential pedagogical
books in mathematics (though now considered a little old-fashioned). Give
any of them a try; they are all rather noble. In increasing order of
difficulty:
- The Enjoyment of Mathematics by Rademacher & Toeplitz
- What is Mathematics? by Courant & Robbins
- Geometry and the Imagination by Hilbert & Cohn-Vossen
- How to Solve It by Pólya
- The Development of Mathematics in the 19th Century by Klein
Three other books I’d like to point out at the beginner’s level are
Crocheting Adventures with Hyperbolic Planes by Taimina, if
you crochet, From Calculus to Chaos by Acheson, if you like
physics, and Polyhedra by Cromwell, if you find this sort of
thing appealing:
Now onto the bulk of mathematics books. Most modern mathematics books use
notation taken from fields called ‘set theory’ and ‘mathematical logic’.
It’s very simple, but when you first encounter it you might think you are
learning ‘real mathematics’. Actually, this notation is more like a
language — a way of expressing mathematics — and not the actual content of
mathematics itself. I think a particularly good place to learn it is the
first chapter of Galois’ Dream by Kuga (an intruiging book
anyway), but you can pick it up anywhere.
Mathematics textbooks tend to be terrible. Mathematicians are always
complaining about how dry and boring they are, how hard to read, how
lacking in examples and pictures and motivations and applications, and so
on. The key thing to understand is that textbooks on a given topic bear a
similar to relation to that topic as do manuals for electronic gadgets to
the gadget: they give a dry, correct description of how it works, but to
really understand it you’ll have to play with it yourself and explore its
possibilities.
I won’t recommend any particular textbooks; instead I’ll point you
towards four other lists of books, which can help you find a good book on
any particular topic you might be interested in:
- The Chicago undergraduate mathematics bibliography
- Viktor Blåsjö’s reviews on Amazon
- Roy Smith’s reviews on Amazon
- Owl’s list of graduate textbooks
Instead, I’ll tell you a bit about different authors’ styles, and
recommend some books that are special in one way or another.
One interesting feature of 20th century mathematical writing is the
contrast between the Russian and French styles. The French tended towards
formalism & completeness, while the Russian tended towards intuition
& casualness. This contrast can be nicely seen in two series of books
that they published: the French Elements of Mathematics by
Bourbaki (a fictional author) are exhaustive, logical, from-the-ground-up
expositions of advanced mathematics, while the Russian
Encyclopaedia of Mathematical Sciences contains discursive, wide-ranging, pleasant overviews of many
fields of mathematics.
As for particular authors, some to seek out are: Miles Reid, humorous,
insightful, & well-illustrated; Jean-Pierre Serre, purveyor of elegant
jewels; Vladimir I. Arnold, original, opinionated, and intuitive; Igor R.
Shafarevich, a very humane author; Pierre Samuel, charming and
enthusiastic; John H. Conway, delightfully different.
A few more particular recommendations. To learn a bit more about the
culture, philosophy, history, and meaning of mathematics, Rota’s
Indiscrete Thoughts. For a fascinating panorama of what mathematics looked like a century
ago, Klein’s Lectures on Mathematics. A dated but dazzling & immensely cultured tour, Weyl’s
Symmetry. Finally, if you become interested in the cutting edge, browse the
enormous Princeton Companion to Mathematics.
Online, read all the essays by William Thurston, a beautiful soul, linked
here. You can find thousands of insights at
mathoverflow, and ask any questions you may divise at the
Math StackExchange. And lastly, for more book reviews, see the
MAA,
Zentralblatt, and
Math Reviews.
Fiction….
- Five Point Someone – Chetan Bhagat
- One night at the call center – Chetan Bhagat
- The three mistakes of my life – Chetan Bhagat
- Two states – Chetan Bhagat
- Siddhartha – Hermann Hesse
- The glass bead game – Hermann Hesse
- Narziss and Goldmund – Hermann Hesse
- Demian – Hermann Hesse
- Steppenwolf – Hermann Hesse
- A Farewell to Arms – Ernest Hemingway
- The Old Man and the Sea – Ernest Hemingway
- The Sun also Rises – Ernest Hemingway
- The Bachelor of Arts – R.K. Narayan
- Great Expectation – Charles Dickens
- A Portrait of the Artist as a young Man – James Joyce
- The Graduate – Charles Webb
- Three Men in a Boat – Jerome K Jerome
- Crime And Punishment – Dostoyevsky
- The Gambler – Dostoyevsky
- Notes from the Underground – Dostoyevsky
- Sum thing of a mock tale – Soma Das
- The Da Vinci Code – Dan Brown
- New Life – Sharmistha Mohanty
- French Lover – Taslima Nasrin
- Inheritance of Loss – Kiran Desai
Non-Fiction
- Three Essays – T. S. Eliot
- The Art of War – Sun Tzu
- Mein Kampf (my struggle) – Adolf Hitler
- To have or to be – Erich Fromm
- Born to Win – Muriel James & Dorothy Jongeward
- The Republic – Plato
- A History of India 1 – Romila Thapar
- An Unfinished Autobiography – Indira Goshwami
- Shadow of the Dark God & Sin – Indira Goshwami
- How Novels work – John Mullan
- Sambhog se Samadhi Ki Or – Osho
- My Story – Kamla Das
- Iacocca : An Autobiography – Lee Iacocca
- Made In Japan – Akio Morita
- Winning – Jack Welch
- BPO Sutra – Sudhindra Mokhasi
- Eats, Shoots & Leaves – Lynne Truss
- The One minute Manager – Kenneth Blanchard
- The One minute Apology – Kenneth Blanchard
- Putting the One Manager to Work – Kenneth Blanchard
- Zen and The Art of Motorcycle Maintenance – Robert M Pirsig
- How to Win Friends and Influence People – Dale Carnegie
- Who moved My Cheese – Spenser Johnson
- An Area of Darkness – V.S. Naipaul
- India : A wounded Civilization – V.S. Naipaul
-
Kumaon Ka Itihaas – Badridatt Pandey
Poems
- Urwashi – Ramdhari Singh Dinkar
- Geetanjali – Rabindranath Tagore
- Madhushala – Harivansh Rai Bachchan
- Tamasha Mere Aage – Nida Fazli
- The Odyssey – Homer
- As You Like It – William Shakespeare
- Hamlet – William Shakespeare
to be continued......
No comments:
Post a Comment