Book Suggestions for Higher Mathematics

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:-

  1. A Course in Abstract Algebra by S. K. Bhambri and V. K. Khanna
  2. Contemporary Abstract Algebra by Joseph A. Gallian
  3. Abstract Algebra by David S. Dummit and Richard M. Foote
  4. Group Theory by Sudesh Kumari Shah, Asha Gauri Shankar
  5. A First Course in Abstract Algebra by J. B. Fraleigh
  6. Basic Abstract Algebra Book by P. B Bhattacharya, S. R. Nagpaul, and Surender Kumar Jain
  7. Abstract Algebra: An Introduction by Thomas W. Hungerford

📜 Calculus (Differential, Integral & ,Vector):

  1. CALCULUS by G. Tewani (CENAGE Learning) [Best for function of one variable, JEE Book]
  2. CALCULUS by Howard Anton, Iril Bivens & Stephen Davis [Best Book]
  3. Multivariable Calculus by Don Shimamoto, Swarthmore College (PDF Available on Internet Freely).
  4. Updating Soon

📜 Complex Analysis:-

  1. Functions of Complex Variable by J.K. GOYAL & K.P. GUPTA
  2. A First Course in Complex Analysis with Applications by D.G. Zill & P.D. Shanahan
  3. A First Course in Complex Analysis by M. Beck, G. Marchesi, D. Pixton & L. Sabalka
  4. Complex Analysis by Joseph Bak and Donald Newman
  5. Complex Variables and Applications by James Ward Brown, Ruel Churchill

📜 Cryptography:- (NOT for NET, GATE … )

  1. Cryptography: Theory and Practice(3Ed) by D.R. Stinsons
  2. Introduction to Cryptography(Principles and Applications) by Hans Delfs & Helmut Knebl
  3. Introduction to Modern Cryptography by Jonathan Katz and Yehuda Lindell
  4. An introduction to mathematical cryptography by Jeffrey Hoffstein
  5. Cryptography and Network Security by William Stallings
  6. Understanding Cryptography: A Textbook for Students and Practitioners by Christof Paar and Jan Pelzl
  7. Handbook of Applied Cryptography by Alfred Menezes, Paul van Oorschot, and Scott Vanstone

📜 Discrete Mathematics:- (NOT for NET, GATE … )

  1. Discrete Mathematical Structure by B. Kolman , R. Busby ,S.C. Ross
  2. Discrete Mathematical Structure by G Shankar Rao
  3. A Course in Combinatorics by J. H. van Lint & R. M. Wilson.
  4. Orthogonal Arrays: Theory and Applications by A. Hedayat, John Stufken, and Neil Sloane
  5. Combinatorial Designs: Constructions and Analysis by Douglas R. Stinson
  6. Introductory Combinatorics by Richard A. Brualdi
  7. An Introduction to Difference Equations by Saber Elaydi

📜 Field Theory:-

  1. A Course in Abstract Algebra by S. K. Bhambri and V. K. Khanna
  2. Basic Abstract Algebra by P. B Bhattacharya, S. R. Nagpaul, and Surender Kumar Jain
  3. Algebra by Michael Artin (Pearson)
  4. Field and Galois theory by Patrick Morandi (Springer)
  5. Algebra Vol 4: Field Theory by L.S. Luthar and I.B.S. Passi (Narosa)

📜 Functional Analysis:-

  1. Functional Analysis by P. K. Jain, Khalil Ahmad & O. P. Ahuja.
  2. Functional analysis by Balmohan Vishnu Limaye
  3. Introduction to Further Topics in Analysis by Elias M. Stein and Rami Shakarc

📜 Linear Programming/Operations Research:-

  2. Operations Research by Kanti Swarup, P. K. Gupta, Man Mohan
  3. Operations Research by Hira D S and Gupta P K

📜 Linear Algebra:-

  1. Linear Algebra and Its Applications(4Ed) by Gilbert Strang
  2. Linear Algebra with Applications by Steven J. Leon
  3. Linear Algebra by Kenneth Hoffmann and Ray Kunze
  4. Linear Algebra: A Geometric Approach by Theodore Shifrin and Malcolm Adams
  5. Introduction to Linear Algebra with Applications by Jim DeFranza and Dan Gagliardi
  6. Linear Algebra(for BA/BSc) (Very easy to understand) by R Kumar

📜 Measure Theory:-

  1. Measure theory and integration by G de Barra
  2. Real Analysis by H.L Royden
  3. Lebesgue Measure and Integration by P. K. Jain and Vishwa Prakash Gupta

📜 Number Theory:- (NOT for NET, GATE … )

  1. Elementary Number Theory by David Burton (McGraw Hill Edu.)
  2. Number Theory by George E. Andrews (Dover Publications)
  3. Elementary Number Theory: Primes, Congruences, and Secrets: A Computational Approach by William Stein (Springer): Download PDF
  4. Elementary Number Theory: An Algebraic Approach by Ethan D. Bolker (Dover Publications)
  5. A Course in Number Theory and Cryptography by Neal Koblitz (Springer)

📜 Numerical Analysis:-

  1. Numerical Methods: Problems and Solutions by R. K. Jain, S. R. K. Iyengar
  2. Numerical Methods For Scientific And Engineering Computation by R. K. Jain & M. K. Jain

📜 ODE and PDE:-

  1. Ordinary and Partial Differential Equations by M.D. Raisinghania
  2. Differential Equations by Shepley L. Ross
  3. Introduction to Partial Differential Equations by K. Sankara Rao
  4. An Introduction to Partial Differential Equations by Jacob Rubinstein and Yehuda Pinchover
  5. Elementry DEs and Boundary Value problems by W.E Boyce and R.C DiPrima 
  6. Elementary Differential Equations with Boundary Value Problems by W.F. Trench (Download PDF)

📜 Real Analysis:-

  1. Introduction to Real Analysis by Donald R. Sherbert & Robert G. Bartle (Very basic)
  2. Real Analysis by Santi Narayan & MD Rai Singhania
  3. Problems in Mathematical Analysis (I, II & III) by W. J. Kaczor & M. T. Nowak (Very Good)
  4. Mathematical Analysis by S.C. Malik & S. Arora (Very Good)
  5. Principles Mathematical Analysis book by Walter Rudin
  6. A Problem Book in Real Analysis by Asuman G. Aksoy & Mohamed A. Khamsi

📜 Topology:-

  1. Topology by James Munkres (Very Good)
  2. Topology Without Tears by. Sidney A. Morris (Very good for beginners): Download PDF
  3. Basic topology by M. A. Armstrong (Springer)
  4. 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.
Suggested Books

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