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Precize Number Theory - I For MSc Mathematics Panjab University Chandigarh

by Madhurima
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23 Customer Review

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  • Q1
    Is this book "Precize Number Theory - I" perfectly aligned with the latest syllabus of MATH-605S for Panjab University's MSc Mathematics?
    A1

    Yes, the book is specifically written and structured to cover the entire prescribed syllabus for MATH-605S, including both Unit-I and Unit-II in exact detail.

  • Q2
    How useful is this book for preparing for competitive exams like NET (National Eligibility Test) and JRF (Junior Research Fellowship)?
    A2

    It is highly useful. The core topics covered in this book form a significant part of the syllabus for these competitive examinations, making it an excellent foundational resource.

  • Q3
    Are the proofs of important theorems like the Quadratic Reciprocity Law and the Chinese Remainder Theorem explained in a step-by-step manner?
    A3

    Yes, complex proofs are broken down into logical, step-by-step explanations to ensure students can follow the reasoning and build a deep understanding.

  • Q4
    I struggle with topics like primitive roots and indices. Does this book explain these concepts in a beginner-friendly way?
    A4

    The book is designed to build concepts from the ground up. Topics like primitive roots and indices are introduced with clear definitions and developed gradually, making them accessible to students encountering them for the first time.

  • Q5
    Does the textbook cover the application of number theory in cryptography, as mentioned in the syllabus?
    A5

    Yes, the book includes a section on the application of number-theoretic concepts, specifically Euler's theorem, to cryptography, providing a modern context for the theoretical material.

  • Q6
    Is the chapter on "Binary Quadratic Forms" included, and is it explained clearly?
    A6

    Yes, Chapter 10 is dedicated to "Binary Quadratic Forms and their Reduction," and it is presented with the same clarity and depth as the other chapters, covering both theory and reduction methods.

  • Q7
    Is the Mobius Inversion Formula covered in a way that is easy to understand?
    A7

    The Mobius function and the powerful Mobius Inversion Formula are explained with necessary background and illustrative examples to demystify this important topic.

  • Q8
    Are the methods for solving Diophantine equations, such as x² + y² = z² and x⁴ + y⁴ = z², provided in the book?
    A8

    Yes, Chapter 12, "Some Non-Linear Diophantine Equations," is entirely dedicated to this topic and provides detailed methods for solving these classical equations.

  • Q9
    Is the content sufficient for scoring high marks in the 80-mark theory paper?
    A9

    Definitely. The book is designed to be a one-stop solution, covering the syllabus with a depth and clarity that enables students to not only pass but excel in their theory examinations.

  • Q10
    Will this book help me in solving the compulsory Question No. 1, which consists of short-answer questions from the entire syllabus?
    A10

    Yes, the book's comprehensive coverage of the entire syllabus ensures that you are well-prepared for the compulsory short-answer question that tests broad conceptual understanding.

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Have Doubts Regarding This Product ? Ask Your Question

  • Q1
    Is this book "Precize Number Theory - I" perfectly aligned with the latest syllabus of MATH-605S for Panjab University's MSc Mathematics?
    A1

    Yes, the book is specifically written and structured to cover the entire prescribed syllabus for MATH-605S, including both Unit-I and Unit-II in exact detail.

  • Q2
    How useful is this book for preparing for competitive exams like NET (National Eligibility Test) and JRF (Junior Research Fellowship)?
    A2

    It is highly useful. The core topics covered in this book form a significant part of the syllabus for these competitive examinations, making it an excellent foundational resource.

  • Q3
    Are the proofs of important theorems like the Quadratic Reciprocity Law and the Chinese Remainder Theorem explained in a step-by-step manner?
    A3

    Yes, complex proofs are broken down into logical, step-by-step explanations to ensure students can follow the reasoning and build a deep understanding.

  • Q4
    I struggle with topics like primitive roots and indices. Does this book explain these concepts in a beginner-friendly way?
    A4

    The book is designed to build concepts from the ground up. Topics like primitive roots and indices are introduced with clear definitions and developed gradually, making them accessible to students encountering them for the first time.

  • Q5
    Does the textbook cover the application of number theory in cryptography, as mentioned in the syllabus?
    A5

    Yes, the book includes a section on the application of number-theoretic concepts, specifically Euler's theorem, to cryptography, providing a modern context for the theoretical material.

  • Q6
    Is the chapter on "Binary Quadratic Forms" included, and is it explained clearly?
    A6

    Yes, Chapter 10 is dedicated to "Binary Quadratic Forms and their Reduction," and it is presented with the same clarity and depth as the other chapters, covering both theory and reduction methods.

  • Q7
    Is the Mobius Inversion Formula covered in a way that is easy to understand?
    A7

    The Mobius function and the powerful Mobius Inversion Formula are explained with necessary background and illustrative examples to demystify this important topic.

  • Q8
    Are the methods for solving Diophantine equations, such as x² + y² = z² and x⁴ + y⁴ = z², provided in the book?
    A8

    Yes, Chapter 12, "Some Non-Linear Diophantine Equations," is entirely dedicated to this topic and provides detailed methods for solving these classical equations.

  • Q9
    Is the content sufficient for scoring high marks in the 80-mark theory paper?
    A9

    Definitely. The book is designed to be a one-stop solution, covering the syllabus with a depth and clarity that enables students to not only pass but excel in their theory examinations.

  • Q10
    Will this book help me in solving the compulsory Question No. 1, which consists of short-answer questions from the entire syllabus?
    A10

    Yes, the book's comprehensive coverage of the entire syllabus ensures that you are well-prepared for the compulsory short-answer question that tests broad conceptual understanding.

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