NTSE-2009 National Talent Search Examination Books

Recently I got questions about which books should be referred for NTSE-2009 National Talent Search Examination. NTSE exams are based on your intelligence and your 8th standard CBSE books will be enough for the exam. However there are many specific books for NTSE and you can refer them. You can consult your class teacher of respective subjects for the books to refer. Practically it is suggested to refer those books.

NCERT does good work in case of books. Recommended books for all subjects of all standards are available on the website. You just need to check what you need. Some of the links are given below. Always helpful :)

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List of NCERT Textbooks for Classes I to XII.

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Happy studying!

AIEEE 2008 Recomended books

Chemistry

Author/Publisher Name of the Book Remarks NCERT Chemistry XI & XII Basic Text Book P. Bahadur Physical Chemistry Recommended for Physical Chemistry O.P. Agarwal IIT Chemistry Recommended for Inorganic & Organic Chemistry J.D. Lee Concise Inorganic Chemistry Reference Book R.T. Morrison, R.N. Boyd Organic Chemistry Reference Book Physics

Physics

Author/Publisher Name of the Book Remarks NCERT Physics XI & XII Basic Text Book Cutnell&Johnson Physics Fifth edition Recommended RAHUL TULI CONCEPTS &MISCONCEPTIONS IN PHYSICS Recommended Halliday, Resnick & Walker Fundamentals of Physics Reference Book N N Ghosh Coaching at Home Recommended

Mathematics

Author/Publisher Name of the Book Remarks R. S. Agarwal Maths XI & XII Basic Text Book S.L. Loni Plane Trigonometry Part I Recommended S.L. Loni Co-ordinate Geometry Recommended Hall & Knight Higher Algebra Recommended Shanti Narayan Vectors Recommended Venkateshwarlu Calculus Reference Book Krishna Murthy J. Edward

C++ by FunctionX

Introduction to C++

Variable and Data Types

Namespaces

Operators and Operands

Introduction to Functions

Exploring Functions

C++ Projects and Linkage

Logical Comparisons

Conditional Statements

Constructing Expressions

Intermediate Operations

Introduction to Arrays

Introduction to Pointers

Arrays and Pointers

Pointers and Functions

Strings

Data Input/Output

Exception Handling

User-Defined Types

Introduction to Classes

Object Initialization and Tuning

Object Construction and Destruction

Arrays and Pointers of Classes

Operator Overloading

Combining Objects

Exceptions and Classes

Composition and Inheritance

Polymorphism and Abstraction

Topics

	Reference Methods
	When creating a C++ class, you can add a member function that returns a reference. This is a review of how to proceed. This also includes a comparison of reference methods with set and get accessories.
	File Processing (FILE)
	This is a review of how to save values to a medium using the FILE structure of the C language.
	File Processing (fstream)
	The C++ language provides the fstream and its inherited classes used to perform file processing as we review them here
	Array-Based Lists
	Use a class to create a list that uses an array as the main object of the list.
	Object Serialization
	This is a brief description of how you can save a whole variable declared from a class, and how you can read or retrieve it from a stream.
	Introduction to Templates by James Prasanna

Keywords	References

	bool	break	Project Creation Depending on Compiler
	else	for	C++ Operators Precedence
	inline	static	Clearing the screen
		typedef	Anonymous Classes
			C/C++ Comments
			Inheritance
			Introduction to Templates

Example Programs

These are usually small programs that implement a particular or more than one topic, showing how the C++ language is used.

General Concepts	Functions	Classes

The Simplest Program	Passing Arguments	A Simple Class
If-Else Condition	Arguments By Value	Constructor Initializer
Exception Handling	Returning a Reference	Array of Objects
String Data Entry	Returning a Pointer	A Class Member Variable
A Simple List	Returning a double-Pointer	An Class As Argument
Linear Search	Returning a Reference to a Pointer	Class Nesting
Linked List 1	An Array of Pointers to Class

Math-Oriented Examples

Absolute Value Calculation	Sum of a Range of Values	Greatest Common Divisor 1
Square Root Calculation	Minimum Value	Greatest Common Divisor 2
	Maximum Value

Applications

Car Rental

Multiple Choice Question

External References

	You can find additional information on the following
	Deakin University (Australia)
	Normally, the lessons are for the C language but a couple of chapters make a transition to C++.
	EDM/2
	These are intermediate articles in C++, covering some areas you should move to once you know the fundamentals of C++.
	A few (simple) examples of C++ programs
	FLU
	Many useful examples of programs, including linked lists
	C++ in AP Computer Science
	A listing of the programs used in the Advanced Placement exam.
	Alex Russell's Dos Game Programming in C for Beginners
	Tutorials on developing DOS screens using the C language.
	Other Links See FunctionX website

Books on Mathematics

General Mathematics

Number Theory

Algebra, Algebraic Geometry

Topology

Analysis

Geometry

Mathematical Physics

Probability Theory

Applied Mathematics

Miscellanea

How to prepare documents? TEX,LATEX etc.

Miscellanea

What is and what will be: Integrating spirituality and science
book on the foundations of mathematics by Paul P. Budnik

Fractals

• Fractals in the Plane - the Ergodic Theory Methods by F. Przytycki and M. Urbanski
• Lecture notes in Conformal Dynamics, taught by Curt McMullen.
• Fractals by Dr. P. G. Dixon

Graph Theory

• Graph Theory with Applications by J.A. Bondy and U.S.R. Murty
• Graph Theory by Reinhard Diestel printing disabled
• Interactive Graph theory tutorials by Chris K. Caldwell must register to use

Coxeter groups

• Mirrors and Reflections: The Geometry of Finite Reflection Groups by Alexandre V. Borovik, Anna s. Borovik
• Miscellaneous facts about Coxeter groups by Robert B. Howlett
• Buildings, BN-pairs, Hecke algebras, classical groups by Paul Garrett

Nielsen Fixed Point Theory

• Ross Geoghegan's Home Page has a set of papers

Permutation Puzzles

• Mathematics of Rubik's cube by David Joyner is a good source for discrete group theory with applications to permutation puzzles.

Applied Mathematics

Numerical Analysis

• Numerical Analysis Notes by Lucio Tavernini
• An Introduction to Multigrid Methods by Pieter Wesseling
• Finite Element Method/Boundry Element Method by Peter Hunter
• Numerical Recipes by William H.Press, Saul A. Teukolsky, William T. Vetterling, Brian P. Flannery
• Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods by Barrett, Richard
• Numerical Analysis at the University of Cambridge
• Numerical Mathematics and Scientific Computation by Germund Dahlquist and Åke Björck

• Lecture Notes on Optimization by Pravin Varaiya
• Computational geometry, mesh generation, numerical methods by Jonathan Shewchuk
• Numerical Analysis by Steven Elliot Pav
• Convex Optimization by Stephen Boyd and Lieven Vandenberghe

Information Theory

• Information Theory, Inference and Learning Algorithms. A Textbook by David J.C. MacKay
• A Short Course in Information Theory - 8 lectures by David J.C. MacKay
• Primer on Information Theory by Thomas Schneider
• Several books ! by G. J. Chaitin (not only Information Theory)

Financial mathematics

• Applied Quantitative Finance by W. Härdle, T. Kleinow, G. Stahl printing disabled
  Also other non-printable books on the same page
• Measure theory, Probability, Stochastic calculus, General theory of processes, Financial mathematics lectures notes by Rich Bass
• Lectures on Stochastic Calculus and Finance by Steven Shreve
• Structural Analysis of Discrete Data and Econometric Applications, editors: Ch. Manski, D. McFadden
• Handbook of Econometrics, editiors: J. J. Heckman, E. Leamer and R. Blundell
• Essential Principles of Economics by Roger McCain
• Game theory examples by Roger McCain (html)

Game Theory

• Gametheory.net with lectures on the subject
• Determinacy in infinite games by Jindrich Zapletal

Derivations of Applied Mathematics by Thaddeus H. Black (GNU Free Documentation License)

Linear Methods of Applied Mathematics, by Evans Harrell and James Herod.

Linear Algebra, Infinite Dimensions, and Maple by James Herod

generatingfunctionology by Herbert Wilf

Algorithms and Complexity by Herbert S. Wilf

A=B by Marko Petkovsek, Herbert Wilf, and Doron Zeilberger

Applied Math Textbook, by Sean Mauch beta version (unfinished)

Mathematical Tools for Physics by James Nearing

Applied Mathematics by Peter J. Olver and Chehrzad Shakiban

Surveys in Combinatorics

Complexity Theory by Oded Goldreich

Papers on Combinatorial Enumeration and Asymptotics by Andrew Odlyzko

Hyperplane Arrangements by Richard Stanley

Cryptography

• Handbook of Applied Cryptography, by Alfred J. Menezes , Paul C. van Oorschot, and Scott A. Vanstone
• Foundations of Cryptography
• Lecture Notes on Cryptography
• Cryptography and Network Security
• Cryptography and Cryptanalysis Lecture notes
• Modern Cryptography
• Cryptography and Cryptanalysis by Glenn Durfee
• Lecture Notes on Cryptography by S. Goldwasser and M. Bellare

• Introduction to Statistical Signal Processing by R.M. Gray and L.D. Davisson

Probability Theory

Introduction to Probability, by Charles Grinstead & J. Laurie Snell

Probability.Net Tutorials by Noel Vaillant

Probability Theory: The Logic of Science, by Edwin Thompson Jaynes

Probability Theory As Extended Logic collection of articles and books by Larry Bretthorst

Introduction to Probability, by Oliver Knill

Probability Theory As Extended Logic Comprises many documents!

Random Walks and Diffusion Lecture Notes by Martin Z. Bazant

Reversible Markov Chains and Random Walks on Graphs by Aldous and Fill (monograph in preparation)

An Invitation to Sample Paths of Brownian Motion

Notes on probability theory by H. W. Lenstra

An introduction to stochastic differential equations - Lawrence Craig Evans

Stochastic Calculus Notes by Alan Bain

Probability Theory by S.R.S.Varadhan

Statistics by S.R.S.Varadhan

Stochastic Processes by S.R.S.Varadhan

Lectures on Stochastic Analysis by Thomas G.Kurtz

Stochastic Integration and Stochastic Differential Equations by Klaus Bichteler

Notes on Hilbert Spaces, Fourier Transform and Probability by Pierre Brémaud

Probability, Random Processes, and Ergodic Properties by R.M. Gray

Markov Chains and Stochastic Stability by S.P. Meyn and R.L. Tweedie

Mathematical Physics

Dynamics

• Mechanism of the Heavens (1831), by Mary Somerville. This second edition was prepared by Russell McNeil
• Dynamical Systems George D. Birkhoff, AMS 1927, 305 pp.
• Dynamics in One Complex Variable: Introductory Lectures, John Milnor
• Geometrical theory of dynamical systems by Nils Berglun
• Lectures on Mechanics, Dynamics, and Symmetry by Jerrold E. Marsden
• Introduction to Statics and Dynamics by Andy Ruina and Rudra Pratap

Entropy

• Entropy on the World Wide Web has links to expository articles, journals, software, and conferences pertaining to entropy.
• Dynamical Systems and Ergodic Theory, by Mark Pollicott and Michiko Yuri see also
  Ergodic Theory & Dyn. Sys. for errata and additions.
• Entropy of Compact Group Automorphisms by Thomas Ward
• Valuations and Hyperbolicity in Dynamics by Thomas Ward
• Lecture Notes on Mechanics, Probability and Irreversibility by Alexandre J. Chorin
• Effective Hamiltonians and averaging for Hamiltonian dynamics - Lawrence Craig Evans
  
• Entropy and partial differential equations - Lawrence Craig Evans
  
• CLASSICAL AND QUANTUM CHAOS by Predrag Cvitanovic'
• Dynamical systems by Shlomo Sternberg

Quantum Mechanics

• Schrödinger Operators by Gerald Teschl
• Quantum Mechanics by Klaus Schulten
• lecture notes in Quantum Mechanics by Scott Pratt
• ADVANCED QUANTUM MECHANICS by Jouko Mickelsson
• Foundations of Quantum Mechanics & Quantum Information by M.B. Plenio
• Quantum Geometry and more by Micho Durdevich
• Quantum Probability Theory by Miklos Redei, Stephen J. Summers

Quantum Field Theory

• Comprehensive textbook on quantum (and classical) field theory by Warren Siegel
• Quantum Field Theory by Ben Simons
• Mathematical ideas and notions of quantum field theory by Pavel Etingof
• Introduction to Algebraic and Constructive Quantum Field Theory by John C. Baez, Irving E. Segal and Zhengfang Zhou scanned pdf. extermely big 200 megabytes
• Lecture Notes from the Quantum Field Theory program at IAS, 1996-1997
• Books by Warren Siegel
• Introduction to String Theory by Igor V. Dolgachev
• What is String Theory by Joseph Polchinski
• Fluctuating Geometries in Statistical Mechanics and Field Theory Les Houches Session LXII
• Operator Algebras and Quantum Statistical Mechanics, Volumes I & II by Ola Bratteli
• D-Brane Primer by Clifford V. Johnson
• Introduction to Superstring Theory by Elias Kiritsis
• Algebraic Quantum Field Theory by Hans Halvorson, Michael Mueger

Condensed Matter

• Worked examples in the Geometry of Crystals by HKDH Bhadeshia
• Introduction to Solid-State Physics; Many-Body Theory by Chetan Nayak
• Concepts of Theoretical Solid State Physics by Alexander Altland
• Many-Body Physics by Piers Coleman
• Theory of Superconductivity by Helmut Eschrig
• High-Temperature Superconductivity by Peter Hirschfeld
• Solid State Physics Notes, Problem Sets, & Tests by Peter Hirschfeld
• Complex Surphaces in Materials Science with few books

Special and General Relativity

• Special Relativity on the World Wide Web. Tutorials, lecture notes, and computer simulations.
• Mechanics and Special Relativity introductiry textbook by David Morin
• SERGIU KLAINERMAN General Relativity, Nonlinear PDEs, etc.
• Special Relativity and Geometry by C. E. Harle, R. Bianconi
• Differential Geometry (and Relativity) notes by Bob Gardner
• Lecture Notes on General Relativity by Sean M. Carroll
• General Relativity and Quantum Cosmology by Sean M. Carroll
• Public lectures by Stephen Hawking and Roger Penrose

Physics

• Essential Physics 1 by Frank Firk
• Introduction to Groups, Invariants & Particles by Frank W.K. Firk
• Classical Electrodynamics by Bo Thidé
• Classical electrodynamics and theory of relativity by Ruslan Sharipov
• Electromagnetic Theory and Computation: A Topological Approach by Paul W. Gross and P. Robert Kotiuga
• MOTION MOUNTAIN TEXTBOOK Hiking beyond space and time along the concepts of modern physics by Christoph Schiller
• Fundamentals of Thermodynamics by J. Karl Johnson
• Non-Equilibrium Statistical Mechanics by Klaus Schulten
• Course in Electrodynamics by Franz Wegner
• Light and Matter by Ben Crowell
• Order-of-magnitude-physics a book by Sanjoy Mahajan
• A Brief Introduction to Physics for Mathematicians, Igor V. Dolgachev
• Physical Applications of Geometric Algebra by Anthony Lasenby and Chris Doran
• Group Theory for Physicists by Predrag Cvitanovic'
• An Elementary Introduction to Groups and Representations by Brian C. Hall
• Geometric Models for Noncommutative Algebras by A. Cannas da Silva and A. Weinstein
• Teaching electromagnetic field theory using differential forms by K.Warnick,R.Selfridge and D.Arnold
• Lectures on integration of several variables by Michael Adler
• Methods of Mathematical Physics by Mark Trodden
• Concepts in Theoretical Physics by Ben Simons
• Further Mathematical Methods by Niels Walet
• Computational Physics by Angus MacKinnon

Zeno meets modern science by Zurab K. Silagadze

Feynman's derivation of Maxwell equations and extra dimensions by Zurab K. Silagadze

TeV scale gravity, mirror universe, and ... dinosaurs by Zurab K. Silagadze

Quick introduction to tensor analysis by Ruslan Sharipov

Traveling Wave Solutions of Parabolic Systems by Aizik I. Volpert, Vitaly A. Volpert, and Vladimir A. Volpert, AMS 1994, 455 pp.

SunySB guide - A Collection of Lecture Notes in theoretical physics

Geometry

Differential Geometry

• Introduction to Tensor Calculus and Continuum Mechanics, by John H. Heinbockel
• Topics in Differential Geometry, Peter W. Michor.
• Natural operations in differential geometry by Ivan Kolar, Jan Slovak and Peter W. Michor
• Intrinsic Geometry of Surfaces by A. D. Aleksandrov and V. A. Zalgaller
• An Introduction to Riemannian Geometry - Sigmundur Gudmundsson, Lund University
• Riemann Surfaces, Dynamics and Geometry Curtis McMullen
• Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem by Peter B. Gilkey
• Differentiable Manifolds lecture notes (growing) by Mariusz Wodzicki
• Lecture notes for the course in Differential Geometry by Sergei Yakovenko
• Lectures On Symplectic Geometry with and Eye Toward Combinatorics by Sue Tolman
• Differential Geometry lecture notes by Gabriel Lugo
• Differential geometry reconstructed by Alan U. Kennington
• Course of Differential Geometry by Ruslan Sharipov
• A Modern Course on Curves and Surfaces by Richard S. Palais
• Undergraduate notes on Projective Geometry, Manifolds etc. by Nigel Hitchin
• Vector Bundles and an Introduction to Gauge Theory by Steven Bradlow, (Hung-Jen Hsu and Chris Willett)
• Twistor Geometry and Gauge Theory by Martin Wolf
• Complex Geometry of Nature and General Relativity by Giampiero Esposito

• Geometric Asymptotics by Victor Guillemin and Shlomo Sternberg
• Projective Geometry by Balázs Csikós
• Differential Geometry by Balázs Csikós
• Projective and Polar Spaceas by Peter Cameron
• Transformation groups for begginers by S. V. Duzhin and B. D. Tcherbotarevsky

Cartan's Corner Differential geometry & Topology

Analysis

• Homeomorphisms in Analysis by Casper Goffman, Togo Nishiura, and Daniel Waterman
• Why the Boundary of a Round Drop Becomes a Curve of Order Four by A. N. Varchenko and P. I. Etingof
• Lectures on Entire Functions by B. Ya. Levin
• Constructive Real Numbers and Constructive Function Spaces by N. A. Sanin
• Complex Variables by Robert B. Ash and W.P. Novinger
• Foundations of Nonstandard Analysis by Erland Gadde
• Analytic functions by Stanislaw Saks, Antoni Zygmund
• Theory of Functions of real variable by Shlomo Sternberg

Functional Analysis

• Functional Analysis by Douglas N. Arnold
• Paul Garrett's lecture notes
• Functional Analysis (3rd year) lecture notes by Thomas Ward
• Functional Analysis and Semi-Groups by Einar Hille and R. S. Phillips, AMS 1957, 808 pp
• The Convenient Setting of Global Analysis by Andreas Kriegl and Peter W. Michor, AMS 1997, 618pp
• Hilbert Space Methods for Partial Differential Equations, by R.E. Showalter
• Monotone Operators in Banach Space and Nonlinear Partial Differential Equations, by R. E. Showalter
• Harmonic Analysis and Partial Differential Equations - Björn E.J. Dahlberg and Carlos E. Kenig
• Functional Analysis by Thomas Ward
• Harmonic Function Theory by Sheldon Axler, Paul Bourdon, and Wade Ramey printing disabled
• An Introduction to C*-Algebras by Pierre de la Harpe and Vaughan Jones
• Functional Analysis by Dr. P. G. Dixon
• Introduction to Microlocal Analysis by Richard Melrose

• Bernoulli Periodic distributions Notes by Miguel Lerma
• Holomorphic Methods in Analysis and Mathematical Physics by Brian C. Hall

Differential Equations

• Nonlinear Analysis and Ordinary Differential Equations by Klaus Schmitt
• Ordinary Differential Equations and Dynamical Systems by Gerald Teschl
• Ordinary Differential Equations Notes by Sheldon Newhouse
• Partial Differential Equations by William W. Symes
• Lectures on analytic differential equations by Yulij Ilyashenko and Sergei Yakovenko
• Exterior Differential Systems and Euler-Lagrange Partial Differential Equations by Robert L. Bryant, Phillip A. Griffiths, Daniel A. Grossman
• Monograph on quasilinear partial differential equations by Marco Squassina

Algebra, Algebraic Geometry

Algebra, Abstract

• Lectures on Matrices by J. H. M. Wedderburn
• Elementary Abstract Algebra by Edwin Clark
• Intro to Abstract Algebra by Paul Garrett
• Elements of Abstract and Linear Algebra by Edwin H. Connell
• Abstract Algebra:The Basic Graduate Year by Robert Ash
• A Course In Commutative Algebra by Robert Ash
• Notes for geometric group theory course, by John R. Stallings
• Advanced Linear Algebra lecture notes by Keith Matthews (with real algorithm for the real Jordan form)
• Commutative algebra by Ivan Fesenko
• Abstract Algebra - Number Theory, Group Theory, Galois Theory by Daviiddd Wilkins
• Workbook in Higher Algebra by David Surowski with index, many exercises
• Abstract group theory Papers and Notes by Chuck Miller
• The Classification of the Finite Simple Groups by Daniel Gorenstein, Richard Lyons, and Ronald Solomon
• Group Characters, Symmetric Functions, and the Hecke Algebra by David M. Goldschmidt
• Finite Groups and their Representations by Andrew Baker
• Classical Groups by Peter Cameron
• Galois theory by Miles Reid
• Toeplitz and Circulant Matrices by R. M. Gray
• Homogeneous spaces and equivariant embeddings by Dmitri A. Timashev

• Differential Algebra by Joseph Fels Ritt
• Structure and Representations of Jordan Algebras by Nathan Jacobson
• An Invitation to General Algebra and Universal Constructions, by George M. Bergman
• A Course in Universal Algebra by Stanley N. Burris and H.P. Sankappanavar
• Fundamental Problems in Algorithmic Algebra by Chee Yap
• Braid groups and Galois theory by Frazer Jarvis
• A. N. Whitehead's Universal Algebra by Stephen Blake
• Varieties of Lattices by Peter Jipsen and Henry Rose
• Commutator Theory for Congruence Modular Varieties by Ralph Freese and Ralph McKenzie
• Constructive Aspects of the Inverse Galois Problem by C. Jensen, A. Ledet, and N. Yui
• Publications and prepublications about braids

Algebraic Geometry

• Algebraic geometry and projective differential geometry by Joseph M. Landsberg
• Introduction to Algebraic Geometry, Igor V. Dolgachev
• Notes on Algebraic Geometry, J.S. Milne.
• Introduction to Algebraic Geometry by Yuriy Drozd
• Undergraduate tutorial on modular forms by Marty Weissman
• Modular forms (Igor Dolgachev)
• Complex analytic and algebraic geometry - Jean-Pierre Demailly
• Moduli Spaces in Algebraic Geometry edited by L. Goettsche
• Algebraic Curves by Hendrik L. Lenstra
• Lectures by David A. Cox - Introduction to Algebraic Geometry, Minicourse on Toric Varieties, etc.
• Quasi-projective Moduli for Polarized Manifolds by Eckart Viehweg
• Lectures on Vanishing Theorems by Hélène Esnault, Eckart Viehweg
• Introduction to Algebraic Geometry by Ravi Vakil
• Determinantal rings by Winfried Bruns and Udo Vetter
• Simplification of Hironaka's resolution of singularities by János Kollár
• Eleven books on geometry, topology, and algebra by Andrew Ranicki

Elliptic Curves

• Elliptic curves by Miles Reid
• Elliptic curves, student project, Annegret Weng (ps 726K)
• Arithmetic on hyperelliptic curves, Annegret Weng (ps 148K)
• Course Notes by Jim Milne: Elliptic Curves, Modular functions and forms, Abelian varieties, Etale Cohomology
• The Modular curves X₀(N), Lecture notes by Bas Edixhoven
• Expository articles - Computing rational points on curves, Elliptic curves by Bjorn Poonen

Category Theory

• A Gentle Introduction to Category Theory, by Maarten M.Fokkinga
• Mixed Motives by Marc Levine
• Chris Hillman's Eprints has a concise introduction to category theory.
• David Madore's Math Page has a 50 page treatise on categories, in DVI and PS.
• Lecture notes on Categories, Derived Categories, Homological Algebra by Pierre Schapira
• Toposes, Triples and Theories by Michael Barr and Charles Wells
• Higher-Dimensional Categories: an illustrated guide book by Eugenia Cheng and Aaron Lauda
• Abstract and Concrete Categories by J. Adamek, H. Herrlich, G. Strecker
• Higher Operads, Higher Categories by Tom Leinster

Lie Algebras

• Algebraic Groups and Discontinuous Subgroups by Armand Borel and George D. Mostow
• Theory of representations etc. by Claudio Procesi
• Semisimple Lie Algebras and their Representations, by Robert N. Cahn,
• Linear Algebraic Groups - minor thesis by David Dumas
• Lie Algebras by Shlomo Sternberg

Number Theory

Introductory Number Theory

• An Introduction to the Theory of Numbers by Leo Moser
• Elementary Number Theory by W. Edwin Clark
• Lecture notes on elementary number theory (Bruce Ikenaga)
• exer