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Algorithms & Data Structures

Algorithms:

• Analysis, Asymptotic notation, Notions of space and time complexity, Worst and average case analysis;
• Design: Greedy approach, Dynamic programming, Divide-and-conquer;
• Tree and graph traversals, Connected components, Spanning trees, Shortest paths;
• Hashing, Sorting, Searching.
• Asymptotic analysis (best, worst, average cases) of time and space, upper and lower bounds, Basic concepts of complexity classes – P, NP, NP-hard, NP-complete.

Data Structures:

• Abstract data types, Arrays, Stacks, Queues
• Linked Lists
• Trees, Binary search trees, Binary heaps.

Book	Description
Introduction to Algorithms C.L.R.S	Cormen covers entire GATE syllabus (and much more) in Algorithms as well as Data Structures. Language is simple for most part but some mathematics is required to understand the analysis parts. (This book is only for learning algorithms and theory of data structures and there is no sample programs given in it)
Fundamentals of Computer Algorithms Rajasekaran, Sahni, Horowitz	This book is Mini version of Cormen’s book , this cover almost everything with short discussions ,which is written in Cormen with more pages. Use this book along with NPTEL lecture of Professor Naveen Garg . Actually if u see prof Garg’s Nptel upon DS you will find slides are taken from this book. Slides are available online in the following link: http://ww3.algorithmdesign.net/handouts/
Design & Analysis of Computer Algorithms Aho, Hopcroft, Ullman	Another classic book for algorithms.

Databases

• ER-model, Relational model (relational algebra, tuple calculus)
• Database design (integrity constraints, normal forms)
• Query languages (SQL)
• File structures (sequential files, indexing, B and B+ trees)
• Transactions and concurrency control

Book	Description
Database Systems Elmasri, Navathe	Covers entire GATE syllabus and especially good for file structures and normalization
Database Systems Connolly, Begg	Covers entire GATE syllabus and is easy to understand.
Database Management Systems Raghu Ramakrishnan	Another very good book especially for Transaction management and Normalization.
Database System Widom, Ullman, Garcia-Molina	Another very good book.
Database System Concepts Silberschatz	Very good book but English is bit high standard

Compiler Design

• Lexical analysis, Parsing
• Syntax directed translation, Runtime environments
• Intermediate and target code generation, Basics of code optimization.

Book	Description
Compilers : Principles, Techniques, & Tools Aho, Sethi, Ulman, Lam	One and only book. If you find the explanations tough, start looking at the given examples, they are easy to follow

Operating Systems

• Processes, Threads, Inter-process communication
• Concurrency, Synchronization
• Deadlock
• CPU scheduling
• Memory management and virtual memory
• File systems, I/O systems, Protection and security.

Book	Description
Operating System Concepts Silberschatz, Galvin	Very good for learning theory in OS. English is good to understand. Writing style is pretty easy and fun. Enough for GATE
Modern Operating Systems Tanenbaum	The Book , but if you read Galvin it is ok , read Tanenbaum for more Knowledge. It contains great number of problems. Also includes some of theory that is not included in Galvin’s book.

Theory of Computation

• Regular languages and finite automata
• Context free languages and Push-down automata
• Recursively enumerable sets and Turing machines
• Undecidability.

Book	Description
An Introduction To Formal Languages And Automata Peter Linz	Most recommended one for GATE
Introduction to Theory of Computation Sipser	Sipser is a quick and comprehensive guide. It is recommended to be read after you have grip on the subject.
Introduction To Computer Theory Cohen	Cohen can be read if very good detailed analysis is required. SPOON FEEDING !
Introduction to Automata Theory, Languages, and Computation Hopcroft	In most colleges you will find this book as a Main book , but believe me within Cohen or Linz, if you read any one of them , Enough!

CO & Architecture

• Machine instructions and addressing modes
• ALU and data-path, CPU control design
• Memory interface, I/O interface (Interrupt and DMA mode)
• Instruction pipelining
• Cache and main memory, Secondary storage.

Book	Description
Computer Organization Vranesic, Zaky, Hamacher
Computer Organization and Architecture : Designing for Performance Stallings
Computer Systems: A Programmers perspective	This is a really good book in perspective of architecture as a simple view of how the actual hardware is organised is given. Apart from the classical confusing diagrams, this book has simple ones which is quite clear in its meaning. The explanation for pipeline execution and hazards are really good. This book is no longer in print, but you can get its pdf by clicking in the link provided. Highly recommended if you have time as this covers many of the other CS subjects as well.

Computer Networks

• ISO/OSI stack, LAN technologies (Ethernet, Token ring)
• Flow and error control techniques, Routing algorithms, Congestion control
• TCP/UDP and sockets, IP(v4), Application layer protocols (icmp, dns, smtp, pop, ftp, http)
• Basic concepts of hubs, switches, gateways, and routers
• Network security – basic concepts of public key and private key cryptography, digital signature, firewalls

Book	Description
Computer Networks Peterson, Davie	Most recommended for GATE
Data Communication & Networks Forouzan	Good book with Basics clear
Computer Netwroks Tanenbaum, Wetherall	One can not neglect the amazing book by tanenbaum. It contains everything in a very well written way. It is amusing and `it deals with issues in a manner you want to do. If you are starting the subject, go with it. It is not recommended for last time reading. Keep making good notes if you read his book.
Computer Networking: A Top-Down Approach Kurose	Kurose is best for Almost all fundamental concept with clear figure and very understandable manners

Programming

• Programming in C
• Functions, Recursion
• Parameter passing, Scope, Binding

Book	Description
The C Programming Language Kernighan, Ritchie	No comments- This is the best. To really understand the working of C, you must read this book. If you find this book tough, that means you have to correct your concepts by talking to knowledgeable people. Many local books, skips difficult to digest concepts and make easy to read books- but to get everything you have to follow this book.
Data Structures Using C Aaron M. Tenenbaum	For most of the data structure concepts

Digital Logic

• Logic functions, Minimization
• Design and synthesis of combinational and sequential circuits
• Number representation and computer arithmetic (fixed and floating point)

Book	Description
Digital Logic & Computer Design Morris Mano	No Comment… One and only…

Information Systems and Software Engineering

• Information gathering, requirement and feasibility analysis data flow diagrams
• Process specifications, input/output design, process life cycle
• Planning and managing the project, design, coding
• Testing, implementation, maintenance.

Book	Description
Software Engineering Pressman	Just see the GATE topics from this bible.

Web technologies

• HTML, XML
• Basic concepts of client-server computing

Engineering Mathematics

Mathematical Logic

• Propositional Logic
• First Order Logic

Combinatory & Probability

Combinatory

• Permutations, Combinations
• Counting, Summation
• Generating functions, recurrence relations, asymptotics

Probability

• Conditional Probability
• Mean, Median, Mode and Standard Deviation
• Random Variables
• Distributions; uniform, normal, exponential, Poisson, Binomial.

Book	Description
A First Course in Probability Ross	Sheldon ross’s book (1st course in Probability) is undoubtedly very good. But you have to read this book very deeply page by page.

Set Theory & Algebra

• Sets, Relations, Functions
• Groups
• Partial Orders, Lattice
• Boolean Algebra

Book	Description
Discrete Mathematics and Its Applications with Combinatorics and Graph Theory Rosen

Graph Theory

• Connectivity, spanning trees
• Cut vertices & edges
• Covering, matching, independent sets
• Colouring, Planarity, Isomorphism

Book	Description
Graph Theory With Applications To Engineering And Computer Science Deo

Linear Algebra

• Algebra of matrices, determinants
• Systems of linear equations
• Eigen values and Eigen vectors

Book	Description
Linear Algebra and its Applications Gilbert Strang
Higher Engineering Mathematics Grewal

Numerical Methods & Calculus

Numerical Methods

• LU decomposition for systems of linear equations
• Numerical solutions of non-linear algebraic equations by Secant, Bisection and Newton-Raphson Methods
• Numerical integration by trapezoidal and Simpson’s rules

Calculus

• Limit, Continuity & differentiability
• Mean value theorems
• Theorems of integral calculus, evaluation of definite & improper integrals
• Partial derivatives, Total derivatives, maxima & minima

Book	Description
Higher Engineering Mathematics Grewal

General Aptitude

Numerical Ability

• Numerical computation
• Numerical estimation
• Numerical reasoning and data interpretation

Book	Description
Quantitative Aptitude For Competitive Examinations Aggarwal

Verbal Ability

• English grammar, sentence completion
• Verbal analogies, word groups
• Instructions, critical reasoning and verbal deduction

Book	Description
Quantitative Aptitude For Competitive Examinations, Aggarwal