Lecture Course On Variational Calculus | By Amritava Gupta | 1st Edition | Academic Publication ( English Medium )

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 Lecture Course On Variational Calculus | By Amritava Gupta | 1st Edition | Academic Publication ( English Medium ).

"Lecture Course On Variational Calculus" by Amritava Gupta is a comprehensive academic text designed to introduce students to the foundational principles and applications of the calculus of variations, a core area in mathematical analysis and applied mathematics.

Structured for clarity and depth, the book begins with the historical motivation behind variational problems and systematically develops the theoretical framework necessary to understand functionals, extremals, Euler-Lagrange equations, and various boundary conditions. The exposition is rigorous yet accessible, making it suitable for undergraduate and postgraduate students alike.

This 1st Edition emphasizes conceptual understanding through detailed examples, solved problems, and exercises that reinforce learning. It is especially useful for students of mathematics, physics, and engineering who are looking to strengthen their grasp of variational principles and their applications to mechanics, physics, and optimization problems.

Key Features:

✅ Step-by-step development of variational calculus

✅ In-depth discussion of functionals and extremals

✅ Derivation and application of Euler-Lagrange equations

✅ Includes isoperimetric problems and transversality conditions

✅ Numerous solved problems and exercises for practice

✅ Suitable for university courses and self-study

Topics Covered:

Introduction to Calculus of Variations

Functionals and Extremals

First Variation and Euler-Lagrange Equation

Natural Boundary Conditions

Problems with Constraints (Isoperimetric Problems)

Transversality Conditions

Applications in Mechanics and Physics

Hamilton’s Principle and Lagrangian Mechanics

Higher-Order and Multivariable Problems

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Product Details

SKU / BOOK Code:	AP-Variati-Calculus-(E)
Publisher:	Academic Publication
Author:	Amritava Gupta
Binding Type:	Paperback
No. of Pages:	As Per Publication
ISBN-10:	NA
ISBN-13:	978-8189781705
Edition:	1st Edition
Language:	English Medium
Publish Year:	2025-05
Weight (g):	500
Product Condition:	New
Reading Age:	Above 10 Years
Country of Origin:	India
Genre:	Textbooks & Study Guides
Manufacturer:	Academic Publication
Importer:	Academic Publication
Packer:	Fullfilled by Supplier

Product Description

 Lecture Course On Variational Calculus | By Amritava Gupta | 1st Edition | Academic Publication ( English Medium ).

"Lecture Course On Variational Calculus" by Amritava Gupta is a comprehensive academic text designed to introduce students to the foundational principles and applications of the calculus of variations, a core area in mathematical analysis and applied mathematics.

Structured for clarity and depth, the book begins with the historical motivation behind variational problems and systematically develops the theoretical framework necessary to understand functionals, extremals, Euler-Lagrange equations, and various boundary conditions. The exposition is rigorous yet accessible, making it suitable for undergraduate and postgraduate students alike.

This 1st Edition emphasizes conceptual understanding through detailed examples, solved problems, and exercises that reinforce learning. It is especially useful for students of mathematics, physics, and engineering who are looking to strengthen their grasp of variational principles and their applications to mechanics, physics, and optimization problems.

Key Features:

✅ Step-by-step development of variational calculus

✅ In-depth discussion of functionals and extremals

✅ Derivation and application of Euler-Lagrange equations

✅ Includes isoperimetric problems and transversality conditions

✅ Numerous solved problems and exercises for practice

✅ Suitable for university courses and self-study

Topics Covered:

Introduction to Calculus of Variations

Functionals and Extremals

First Variation and Euler-Lagrange Equation

Natural Boundary Conditions

Problems with Constraints (Isoperimetric Problems)

Transversality Conditions

Applications in Mechanics and Physics

Hamilton’s Principle and Lagrangian Mechanics

Higher-Order and Multivariable Problems

Search Key - Lecture Course on Variational Calculus Amritava Gupta, , Variational Calculus book by Amritava Gupta, , Amritava Gupta calculus of variations, , Variational Calculus textbook Academic Publication, , 1st edition variational calculus Amritava Gupta, , English medium variational calculus book, , Lecture notes on variational calculus, , Calculus of variations theory and problems, , Variational calculus for mathematics students, , Euler-Lagrange equation book, , Variational calculus principles and examples, , Functionals and extremals calculus book, , Introduction to variational calculus Amritava Gupta, , Advanced calculus of variations text, , Variational methods in physics and mechanics, , Variational calculus solved problems book, , Variational principles textbook, , Mathematical analysis variational calculus, , Functional optimization variational calculus, , Calculus of variations for undergraduates, , Isoperimetric problems in variational calculus, , Variational calculus university-level guide, , Calculus of variations Amritava Gupta solutions, , Higher-order variational calculus topics, , Transversality conditions calculus book, , Variational calculus Academic Publication, , Amritava Gupta lecture series mathematics, , Variational calculus concepts and exercises, , Lagrangian mechanics with variational methods, , Self-study variational calculus textbook, Authors: Amritava Gupta, Edition: 1st Edition Reprint, ISBN: 978-8189781705.

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