"Mathematics - I" is as per the latest prescribed Syllabus RTMNU Nagpur with a major focus on Differential and Multivariable Calculus, Matrices, First Order and Higher Order Ordinary Differential Equations. The text is lucid and brimming with examples for further ease of students. The practice quotient is high as well so that the reader further understands the topics which have been deftly explained.

A modern matrix-based approach to a rigorous second course in linear algebra for mathematics, data science, and physical science majors.

V.1. A-B v.2. C v.3. D-Feynman Measure. v.4. Fibonaccimethod H v.5. Lituus v.6. Lobachevskii Criterion (for Convergence)-Optical Sigman-Algebra. v.7. Orbi t-Rayleigh Equation. v.8. Reaction-Diffusion Equation-Stirling Interpolation Fo rmula. v.9. Stochastic Approximation-Zygmund Class of Functions. v.10. Subject Index-Author Index.

Practical and applications-oriented, this text explains effective procedures for performing mathematical tasks that arise in many fields, including operations research, engineering, systems sciences, statistics, and economics. Most of the examples and many of the 1,300 problems illustrate techniques, and nearly all of the tables display reference material for procedures. 1978 edition.

Advanced Engineering Mathematics is a comprehensive guide to a wide range of mathematical concepts and techniques essential for various fields of study. Dive into the rich collages of mathematical concepts, from Partial Differentiation to the Simplex Method, each chapter meticulously crafted to build your understanding and application skills. Whether you are exploring the depths of Differential Equations, exploring into the details of Complex Numbers, or connecting the power of Numerical Methods, this book offers clear explanations, practical examples, and challenging exercises to support your learning journey. Discover how Vector Calculus transforms your approach, how Probability and Statistics sharpen your data analysis, and how Fourier and Laplace Transformations simplify complex problems. Special topics like Chebyshev Polynomials, Fuzzy Set theory, and Empirical Law offer awareness into revolutionary mathematical applications. This book is perfect for anyone passionate about mathematics and will inspire you to solve problems with confidence, creativity and accuracy.

Engineering Mathematics-II

The relationship between technological and pedagogical innovation has recently created a new field of research at the crossroads between Psychology, Educational Sciences and Artificial Intelligence: Educational Robotics (ER). Through analysis of the achievable educational goals based on the technological status and specific learning modes of different types of robots, it is possible to define three pedagogical paradigms: learning robotics, learning with robotics, and learning by robotics. In this book we address these three paradigms through three themes: human representations of robots, the acceptance and trust shown when interacting with a humanoid, and learning favored by the development and programming of robots in an educational context. These themes allow the authors to fully explore, define and delimit this novel field of research for future application in educational and social contexts. Finally, the book discusses contributions and limitations which have emerged from different methodologies of research, potential educational applications, and concepts of human–robot interaction for the development of the above paradigms.