Objective of the Conference:

The main objective of the International conference is to provide a platform for researchers and scientists working in all fields of mathematics, modeling, statistics and related areas from both academia and industry to exchange research ideas and have in-depth discussions of recent advances in mathematical research. .

INTRODUCTION

Mathematics is the science of measurement, quantity and magnitude. Mathematics is the most closely related subject in our daily life. Its knowledge is exact, systematic logical and clear. Mathematics involves the process for intellectual development of mental faculties. It is not that mathematical knowledge is needed only by engineers, doctors or business personals. Even the smallest citizens of society need the basic knowledge of mathematics. In fact mathematics is the language of all sciences. It was only the mathematical interpretation of Newton’s Law of Gravitation that had led the world into the era of Satellite Communication. The emergence of computers, Internet mobiles and modern means of transport has reduced the world into a ‘Global Village’. Thus, Science which is considered as the backbone of technology borrows its exactness and systematic approach by the virtue of mathematics.
Mathematical techniques are use in a variety of other disciplines, including physics, engineering, medical, biology, finance, business, computer science, and industry. This is what is meant by the term "applied mathematics." Therefore, applied mathematics is a blend of mathematical science and domain-specific expertise. The phrase "applied mathematics" can also be used to refer to the professional subfield of mathematics known as "applied mathematics," in which mathematicians focus on solving real-world issues by developing and analysing mathematical models.
Modeling and Statistics are two branches of applied mathematics. Modeling involves fitting equations to data, usually just approximately. Statistics is the science of uncertainty. Today mathematical modeling is an integral part of research in many fields. Statistics was initially developed to analyze errors in measurements. When different measurements for the same quantity were compared, it was quickly discovered that they formed a pattern, the now- familiar bell curve. Not long afterward, probability was invented to understand games of chance, and then greatly enhanced the understanding and applicability of statistics. Today, the two are intertwined in the area called inferential statistics. Statistics covers every facet of data, including the planning of data collecting in terms of the design of surveys and experiments. One of the most important aspects of data is its organization. The conference gives a platform for to discuss the new innovative ideas in the fields of Advances in Pure and Applied Mathematics. These fields include deliver information that is mostly based on the knowledge that has been gained via studies and the relevant sharing materials. This conference will cover a wide variety of topics, including but not limited to Pure and Applied Mathematics.
The conference is organizing in association with University of Technology and Applied Sciences (UTAS), Muscat, OMAN and Shiksha ‘O’ Anusandhan University, Bhubneshwar,Odisha,India.

TRACK 1: ALGEBRAIC NUMBER THEORY

Algebraic Geometry
Field Theory and Polynomials
Commutative Algebra
Algebraic Geometry
Linear and Multilinear Algebra; Matrix Theory
Associative Rings and Algebras
Non-associative Rings and Algebras
Category Theory; Homological Algebra
Topological Groups, Lie Groups

TRACK 2: MATHEMATICAL ANALYSIS

Real Functions
Functions of a Complex Variables
Several Complex Variables and Analytic Spaces
Special Functions
Approximations and Expansion
Integral Transforms, Operational Calculus
Functional Analysis and Operator Theory

TRACK 3: MECHANICS AND APPLIED MATHEMATICS

Mechanics of Particles and Systems
Mechanics of Deformable Solids
Fluid Mechanics
Classical Thermodynamics, Heat Transfer
Quantum Theory
Statistical Mechanics, Structure of Matter
Relativity and Gravitational Theory
Ordinary and Partial Differential Equations
Numerical ODEs
Numerical PDEs
Difference Equations and Recurrence Relations
Fuzzy Logics and Fuzzy Set Theory

TRACK 4: OPERATIONS RESEARCH

Calculus of Variations and Optimal Control; Optimization
Operations Research, Mathematical Programming
Linear programming
Convex optimization
Nonlinear programming
Stochastic and robust optimization
Integer programming
Combinatorial optimization
Network algorithms
Global optimization
Game Theory, Economics, Social and Behavioural Sciences
Systems Theory
Queuing Theory

TRACK 5: MODELLING AND STATISTICS

Probability Theory and Stochastic Processes
Data modelling and analysis
Mathematical modelling
Meta modelling and regression
Model verification and validation
Statistics
Statatistical Anaysis
Statistical applications
Sampling techniques
Statistical genetics
Statistics and mathematics education
Statistics for environments
Stochastic modelling

TRACK 6: GRAPH THEORY AND GEOMETRY

Graphs and Hyper Graphs
Graph Algorithms with Theoretical Emphasis
Discrete Optimization on Graphs
Convex and Discrete Geometry
Differential Geometry
General Topology
Algebraic Topology
Network Theory
Combinatorial Optimization
Coding Theory
Combinatorial Geometry
Neural Network

About the Institution

Poornima Institute of Engineering & Technology, Jaipur (PIET) is a premier institution in engineering education, established in the academic year 2007, it is affiliated to Rajasthan Technical University, and approved by AICTE. PIET aims at providing world-class technical and scientific education that can develop a professional outlook in every walk of life and has been ranked 3rd in RTU-QIV ranking. Some of notable achievements are: Some key salient features are:

PIET has been 1st Institution to offer B. Tech CSE in Regional language under NEP 2020.
PIET is accredited by National Assessment and Accreditation Council (NAAC).
B. Tech in Computer Engineering is accredited by National Board of Accreditation (NBA).
PIET has been rated PLATINUM by AICTE- CII Survey for strong Industry Linked Technical Institutes.
PIET is the only institute in Rajasthan to be funded by AICTE with a fund of Rs. 55 Lakh for establishing IDEA Lab.
PIET has established Neural Network & Deep Learning Lab under MODROB Scheme with granted in aid of Rs. 12,84,314/-
Also Received Research Grants for more than 50 Lakh in the last 3 years from agencies like TEQIP III, AICTE, NITTTR etc.

About the Department

The Department of Mathematics is supporting department of PIET, was established in 2007. The department is continuous to impart mathematical skill and analytical thinking to all students in the Institution. The department has strongly motivated faculty with diverse specialization in Mathematics which provides basics for pursuing research in basic sciences and also in interdisciplinary areas. The department organizes extension programmes like conference, workshops, seminars, expert talks; FDPs on various topics. The department provides a solid base to students in Applied Mathematics to make them dedicated engineers. The department is credited with a significant number of research articles published each year in journals with AIP, Scopus, Springer, Web of science and SCI indexes. The objective of the Department is to encourage, teach and train the students at all levels of the Engineering education. The department has completed funded projects and FDPs under TEQIP-III.