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Precize Linear Programming for MSc Mathematics Panjab University Chandigarh

by Madhurima
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  • Q1
    Is this book strictly aligned with the latest MSc Mathematics syllabus for Linear Programming (MATH-678S) at Panjab University?
    A1

    Yes, the book "Precise Linear Programming" is specifically written and structured to cover the entire prescribed syllabus for MATH-678S at Panjab University, Chandigarh, including all units and topics.

  • Q2
    Does the book cover both the theoretical foundations and the computational algorithms of Linear Programming?
    A2

    Absolutely. The book provides a balanced approach, delving into theoretical concepts like convex sets and hyperplanes, while also offering detailed, step-by-step explanations of algorithms like the Simplex method and Gomory's cutting plane.

  • Q3
    How does this book explain the Simplex Method and its variants?
    A3

    It dedicates entire chapters to the Theory of the Simplex Method, explaining it from first principles. It also separately covers the Charnes' M-method, the Two-Phase method, and the more efficient Revised Simplex Method in a structured manner.

  • Q4
    Is the concept of Duality and the Dual Simplex Algorithm explained with sufficient depth for university exams?
    A4

    Yes, the book contains a dedicated chapter on Duality Theory and the Dual Simplex Method, including fundamental properties, complementary slackness, and handling unbounded solutions, which are crucial for scoring high marks.

  • Q5
    Does the book provide a solution approach for the Travelling Salesman Problem?
    A5

    Yes, as per the syllabus requirements, the book covers the Travelling Salesman Problem, linking it to the concepts of assignment and integer programming.

  • Q6
    How does this book help in understanding complex topics like Integer Programming?
    A6

    The book breaks down Integer Programming into Pure, Mixed, and 0-1 Programming problems and provides a detailed walkthrough of both the Gomory's Cutting Plane algorithm and the Branch and Bound Technique.

  • Q7
    Is Sensitivity Analysis and Parametric Programming covered, and are they easy to follow?
    A7

    Yes, Chapter 5 is entirely dedicated to Sensitivity Analysis and Parametric Programming, explaining how changes in input parameters affect the optimal solution, with clear mathematical explanations.

  • Q8
    Is this book suitable for self-study, given the complexity of the subject?
    A8

    The book is written in a precise and structured manner, making it highly suitable for self-study. The logical flow from basic to advanced topics allows students to learn and revise effectively on their own.

  • Q9
    How does this book handle the graphical method of solving Linear Programming problems?
    A9

    The graphical method is covered in the very first chapter, establishing an intuitive understanding of concepts like feasible regions and optimal solutions before moving to algebraic methods.

  • Q10
    Are there explanations for the geometric interpretations of concepts like convex sets and extreme points?
    A10

    Yes, Chapter 2 is entirely dedicated to Convex Sets and Hyperplanes, providing the necessary geometric foundation to understand the mathematics behind the Simplex method.

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Have Doubts Regarding This Product ? Ask Your Question

  • Q1
    Is this book strictly aligned with the latest MSc Mathematics syllabus for Linear Programming (MATH-678S) at Panjab University?
    A1

    Yes, the book "Precise Linear Programming" is specifically written and structured to cover the entire prescribed syllabus for MATH-678S at Panjab University, Chandigarh, including all units and topics.

  • Q2
    Does the book cover both the theoretical foundations and the computational algorithms of Linear Programming?
    A2

    Absolutely. The book provides a balanced approach, delving into theoretical concepts like convex sets and hyperplanes, while also offering detailed, step-by-step explanations of algorithms like the Simplex method and Gomory's cutting plane.

  • Q3
    How does this book explain the Simplex Method and its variants?
    A3

    It dedicates entire chapters to the Theory of the Simplex Method, explaining it from first principles. It also separately covers the Charnes' M-method, the Two-Phase method, and the more efficient Revised Simplex Method in a structured manner.

  • Q4
    Is the concept of Duality and the Dual Simplex Algorithm explained with sufficient depth for university exams?
    A4

    Yes, the book contains a dedicated chapter on Duality Theory and the Dual Simplex Method, including fundamental properties, complementary slackness, and handling unbounded solutions, which are crucial for scoring high marks.

  • Q5
    Does the book provide a solution approach for the Travelling Salesman Problem?
    A5

    Yes, as per the syllabus requirements, the book covers the Travelling Salesman Problem, linking it to the concepts of assignment and integer programming.

  • Q6
    How does this book help in understanding complex topics like Integer Programming?
    A6

    The book breaks down Integer Programming into Pure, Mixed, and 0-1 Programming problems and provides a detailed walkthrough of both the Gomory's Cutting Plane algorithm and the Branch and Bound Technique.

  • Q7
    Is Sensitivity Analysis and Parametric Programming covered, and are they easy to follow?
    A7

    Yes, Chapter 5 is entirely dedicated to Sensitivity Analysis and Parametric Programming, explaining how changes in input parameters affect the optimal solution, with clear mathematical explanations.

  • Q8
    Is this book suitable for self-study, given the complexity of the subject?
    A8

    The book is written in a precise and structured manner, making it highly suitable for self-study. The logical flow from basic to advanced topics allows students to learn and revise effectively on their own.

  • Q9
    How does this book handle the graphical method of solving Linear Programming problems?
    A9

    The graphical method is covered in the very first chapter, establishing an intuitive understanding of concepts like feasible regions and optimal solutions before moving to algebraic methods.

  • Q10
    Are there explanations for the geometric interpretations of concepts like convex sets and extreme points?
    A10

    Yes, Chapter 2 is entirely dedicated to Convex Sets and Hyperplanes, providing the necessary geometric foundation to understand the mathematics behind the Simplex method.

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