About Book
The Text Book of Introductory Mathematics is a comprehensive and well-structured guide designed to build a strong foundation in essential mathematical concepts. It begins with Algebra, focusing on Progressions, including Arithmetic, Geometric, and Harmonic Progressions, which are vital for understanding sequences and series used in various applications. The next unit on Matrices and Determinants introduces the definition and fundamental operations such as addition, subtraction, multiplication, transpose, and inverse of matrices (up to 3×3 using the adjoint method). It also covers the properties and evaluation of determinants up to the third order, which are crucial tools in solving systems of linear equations. The section on Differential Calculus explains the concept of derivatives from first principles and outlines the standard rules for differentiation of sums, products, quotients, and composite functions. It also introduces techniques for finding increasing and decreasing functions, along with practical applications such as growth rate, average cost, marginal cost, and marginal revenue. The topic of Partial Differentiation includes homogeneous functions and Euler’s theorem, providing a bridge to multivariable calculus. Problems of maxima and minima are explained for both single-variable and two-variable functions, emphasizing optimization in real-world contexts. The Integral Calculus section explores both indefinite and definite integrals and elaborates on the main methods of integration, such as substitution and integration by parts, along with applications in finding the area under simple curves. Finally, the book introduces Mathematical Models, emphasizing their importance in scientific and agricultural research. It discusses the concept, classification, and fitting of models like linear, quadratic, and exponential equations to experimental or observational data. Altogether, this textbook blends theoretical clarity with practical insight, making it an excellent resource for students pursuing applied mathematics in scientific and technical fields.
About Author
Vijay K Balsane is currently working as Assistant Professor of SWCE at Govt. College of Agriculture, Nandurbar Dist. Nandurbar MPKV, Rahuri (MS), India holds a B.Tech Agricultural Engineering from Dr Annasaheb Shinde College of Agricultural Engineering and Technology MPKV, Rahuri (2002). M.Tech. Soil and Water Conservation Engineering from Govind Ballabh Pant University of Agricultural and Technology, Pantnagar (Uttarakhand)(2004)and Ph.D(in Soil and Water Conservation Engineering from MPKV,Rahuri( 2016). He has 15 years of experience in Teaching, Research and Extension in the field of Soil and Water Conservation Engineering with significant contributions to research articles, abstracts and Papers. Recipient of Distinguished Scientist Award(2024) and Dr. M. S. Swaminathan Award (2024)
Dr. Rakhi V. Meshram is currently serving as an Assistant Professor at College of Agriculture, Dhule under Mahatma Phule Krishi Vidyapeeth, Rahuri. She has pursued post graduation and Ph. D degree with specialization in Irrigation and Drainage Engineering from Dr. Panjabrao Deshmukh Krishi Vidhyapeeth, Akola, Maharashtra. Her doctoral research focuses on conjunctive use of surface and ground water for command area to achieve more production using less input. With over seven years experience in the field of teaching and extension activities she has been actively engaged in other college programmes. Dr. Meshram has actively participated in capacity building initiatives, academic seminars and conferences. She has authored more than 10 research articles.
Dr. Kushal Pramod Dhake is currently serving as an Assistant Professor (Contractual) of Agricultural Engineering at Government College of Agriculture, Muktainagar, Mahatma Phule Krishi Vidyapeeth, Rahuri. He is having experience of 9+ years of teaching, research and extension. He holds M. E. and Ph.D. from Maharana Pratap University of Agriculture and technology, Udaipur, Rajasthan with specialization in Processing and Food Engineering. His research work mainly focused to Post Harvest Technology and Engineering, Drying, Quality analysis, New Product Development. Dr. Dhake published 16 research papers in National/International journals, 02 book chapters, 04 conference papers, 15+ abstract in National/International conferences, participated in 45 National/ International Training/Expert Talk/FDP/Workshop, 10 International Conference/Seminar and 12 National/State Convention & Symposium / Seminar / Conferences.
Er. Kunal. Harishyam. Telang, is pursuing Ph.D. In farm Machinery and Power Engineering, Maharana Pratap Agricultural and Technological University, Udaipur Rajasthan and Hold B-Tech (Agricultural Engineering) from Mahatma Phule Krishi Vidhyapeeth, Rahuri(2012).M-Tech (Fram Machinery and Power Engineering) From Post Graduate Institute, Dr.Punjabrao Deshmukh Krishi Vidyapeeth, Akola. (M.S). He has 06 Years of Experience in Teaching, Research and Extension, Extensive Resaerch Experience in the field of Farm Machinery and Power Engineering with significant contributions to research articles, abstracts, papers.
Mr. Bhushan Bhatu Pawar obtained his B.Sc. in Mathematics from Zulal Bhilajirao Patil (Jay Hind) College, Deopur, Dhule, and M.Sc. in Mathematics from Gajamal Tulshiram Patil College, Nandurbar. He is currently serving as an Assistant Professor in the Section of Agricultural Engineering (Mathematics&Statistics) at the College of Agriculture, Dondaicha. He possesses a strong academic foundation in applied mathematics and actively contributes to teaching and research activities that strengthen analytical and quantitative applications in agricultural and engineering sciences
