Name: Makkar IELTS General Training Essays and Letters From The Past Exams
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Makkar IELTS General Training Essays and Letters From The Past Exams

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Precize Number Theory 2 for MSc Mathematics – Panjab University by Dr. G.S. Sandhu (First World Publications) is a specialized book for postgraduate students. Covering essential topics like Farey Fractions, Continued Fractions, Partition Function, Arithmetic Functions, and Prime Distribution, it aligns with Panjab University’s MSc Mathematics syllabus. The book offers clear explanations, theorems, proofs, and examples, making it ideal for exam preparation.

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Type : book
Weight : 500 GM
ISBN : FDNR5556
Publisher : Makkar Publishing House
Seller : Amit Singh
Authors : Dr Kiranpreet Kaur Makkar , Er Indroop Singh Makkar ,

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Precize Number Theory 2 for MSc Mathematics by Dr. G.S. Sandhu is a comprehensive book designed for postgraduate students pursuing MSc Mathematics at Panjab University. This book provides an in-depth exploration of advanced number theory concepts, aligning with the university’s curriculum. With clear explanations, detailed proofs, and numerous examples, this book serves as an essential resource for students aiming to master number theory.

Key Features

1. Structured Content: The book follows a systematic approach, covering fundamental and advanced topics in number theory.

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1. Farey Fractions and Irrational Numbers

2. Simple Continued Fractions

3. The Partition Function

4. Averages of Arithmetic Functions

5. Some Elementary Theorems on the Distribution of Prime

MATH-625S : Number Theory-II

Total Marks : 100

Theory : 80 Marks

Internal Assessment : 20 Marks

Time : 3 hrs.

Note: 1. The question paper will consist of 9 questions. Candidates will attempt total five questions.

2. Question No.1 is compulsory and will consist of short answer type questions covering the

whole syllabus.

3. There will be four questions from each Unit and the candidates will be required to attempt two

questions from each Unit.

4. All questions carry equal marks.

UNIT-I

Farey sequences, Continued fractions, Approximation of reals by rationals, Pell’s equations, Minkowski’s theorem in Geometry of Numbers and its applications. [Scope as in 6 & 7 of ‘Introduction to the Theory of Numbers’, 5th Edition, by Niven, Zuckerman & Montgomery.]

UNIT-II

Partitions [Scope as in Chapter 10 of ‘Theory of Numbers’, 5th Edition, by Niven, Zuckerman &Montgomery], Order of magnitude and average order of arithmetic functions, Euler summation formula, [Scope as in Chapters 3 & 4 of ‘Introduction to Analytic Number Theory’ by T. M. Apostol.]