Here, we are providing a list of some of the suggested Book’s readings which are very helpful not only in B.Sc & M.Sc but also in preparation for any competitive exams like CSIR-NET, GATE, SET, PSC, NBHM, TIFR, CUCET, …. etc, M.Sc Entrances and Ph.D. Entrances.
📜 Abstract Algebra:-
- A Course in Abstract Algebra by S. K. Bhambri and V. K. Khanna
- Contemporary Abstract Algebra by Joseph A. Gallian
- Abstract Algebra by David S. Dummit and Richard M. Foote
- Group Theory by Sudesh Kumari Shah, Asha Gauri Shankar
- A First Course in Abstract Algebra by J. B. Fraleigh
- Basic Abstract Algebra Book by P. B Bhattacharya, S. R. Nagpaul, and Surender Kumar Jain
- Abstract Algebra: An Introduction by Thomas W. Hungerford
📜 Calculus (Differential, Integral & ,Vector):–
- CALCULUS by G. Tewani (CENAGE Learning) [Best for function of one variable, JEE Book]
- CALCULUS by Howard Anton, Iril Bivens & Stephen Davis [Best Book]
- Multivariable Calculus by Don Shimamoto, Swarthmore College (PDF Available on Internet Freely).
- Updating Soon
📜 Complex Analysis:-
- Functions of Complex Variable by J.K. GOYAL & K.P. GUPTA
- A First Course in Complex Analysis with Applications by D.G. Zill & P.D. Shanahan
- A First Course in Complex Analysis by M. Beck, G. Marchesi, D. Pixton & L. Sabalka
- Complex Analysis by Joseph Bak and Donald Newman
- Complex Variables and Applications by James Ward Brown, Ruel Churchill
📜 Cryptography:- (NOT for NET, GATE … )
- Cryptography: Theory and Practice(3Ed) by D.R. Stinsons
- Introduction to Cryptography(Principles and Applications) by Hans Delfs & Helmut Knebl
- Introduction to Modern Cryptography by Jonathan Katz and Yehuda Lindell
- An introduction to mathematical cryptography by Jeffrey Hoffstein
- Cryptography and Network Security by William Stallings
- Understanding Cryptography: A Textbook for Students and Practitioners by Christof Paar and Jan Pelzl
- Handbook of Applied Cryptography by Alfred Menezes, Paul van Oorschot, and Scott Vanstone
📜 Discrete Mathematics:- (NOT for NET, GATE … )
- Discrete Mathematical Structure by B. Kolman , R. Busby ,S.C. Ross
- Discrete Mathematical Structure by G Shankar Rao
- A Course in Combinatorics by J. H. van Lint & R. M. Wilson.
- Orthogonal Arrays: Theory and Applications by A. Hedayat, John Stufken, and Neil Sloane
- Combinatorial Designs: Constructions and Analysis by Douglas R. Stinson
- Introductory Combinatorics by Richard A. Brualdi
- An Introduction to Difference Equations by Saber Elaydi
📜 Field Theory:-
- A Course in Abstract Algebra by S. K. Bhambri and V. K. Khanna
- Basic Abstract Algebra by P. B Bhattacharya, S. R. Nagpaul, and Surender Kumar Jain
- Algebra by Michael Artin (Pearson)
- Field and Galois theory by Patrick Morandi (Springer)
- Algebra Vol 4: Field Theory by L.S. Luthar and I.B.S. Passi (Narosa)
📜 Functional Analysis:-
- Functional Analysis by P. K. Jain, Khalil Ahmad & O. P. Ahuja.
- Functional analysis by Balmohan Vishnu Limaye
- Introduction to Further Topics in Analysis by Elias M. Stein and Rami Shakarc
📜 Linear Programming/Operations Research:-
- OPERATIONS RESEARCH. THEORY AND APPLICATIONS 6Ed by J K SHARMA
- Operations Research by Kanti Swarup, P. K. Gupta, Man Mohan
- Operations Research by Hira D S and Gupta P K
📜 Linear Algebra:-
- Linear Algebra and Its Applications(4Ed) by Gilbert Strang
- Linear Algebra with Applications by Steven J. Leon
- Linear Algebra by Kenneth Hoffmann and Ray Kunze
- Linear Algebra: A Geometric Approach by Theodore Shifrin and Malcolm Adams
- Introduction to Linear Algebra with Applications by Jim DeFranza and Dan Gagliardi
- Linear Algebra(for BA/BSc) (Very easy to understand) by R Kumar
📜 Measure Theory:-
- Measure theory and integration by G de Barra
- Real Analysis by H.L Royden
- Lebesgue Measure and Integration by P. K. Jain and Vishwa Prakash Gupta
📜 Number Theory:- (NOT for NET, GATE … )
- Elementary Number Theory by David Burton (McGraw Hill Edu.)
- Number Theory by George E. Andrews (Dover Publications)
- Elementary Number Theory: Primes, Congruences, and Secrets: A Computational Approach by William Stein (Springer): Download PDF
- Elementary Number Theory: An Algebraic Approach by Ethan D. Bolker (Dover Publications)
- A Course in Number Theory and Cryptography by Neal Koblitz (Springer)
📜 Numerical Analysis:-
- Numerical Methods: Problems and Solutions by R. K. Jain, S. R. K. Iyengar
- Numerical Methods For Scientific And Engineering Computation by R. K. Jain & M. K. Jain
📜 ODE and PDE:-
- Ordinary and Partial Differential Equations by M.D. Raisinghania
- Differential Equations by Shepley L. Ross
- Introduction to Partial Differential Equations by K. Sankara Rao
- An Introduction to Partial Differential Equations by Jacob Rubinstein and Yehuda Pinchover
- Elementry DEs and Boundary Value problems by W.E Boyce and R.C DiPrima
- Elementary Differential Equations with Boundary Value Problems by W.F. Trench (Download PDF)
📜 Real Analysis:-
- Introduction to Real Analysis by Donald R. Sherbert & Robert G. Bartle (Very basic)
- Real Analysis by Santi Narayan & MD Rai Singhania
- Problems in Mathematical Analysis (I, II & III) by W. J. Kaczor & M. T. Nowak (Very Good)
- Mathematical Analysis by S.C. Malik & S. Arora (Very Good)
- Principles Mathematical Analysis book by Walter Rudin
- A Problem Book in Real Analysis by Asuman G. Aksoy & Mohamed A. Khamsi
📜 Topology:-
- Topology by James Munkres (Very Good)
- Topology Without Tears by. Sidney A. Morris (Very good for beginners): Download PDF
- Basic topology by M. A. Armstrong (Springer)
- Algebraic Topology: A Primer by Satya Deo (trim)
📝 Note:
- Book’s are suggested based on their ease of understanding, contents, Suggestions, Popularity among students… etc.
- We will soon update some more good suggested books reading for other subjects. Work is going on, keep visiting.
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Most informative website of PKALIKA
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Thanks a lot Sir
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Thank you sir !!
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