This book is a comprehensive collection of main mathematical concepts: definitions, theorems, tables, and formulas that the students of science and engineering encounter in their studies and later on in their professional careers. The aim is to introduce mathematics in an up-to-date text that supports the reader/target group to see, easily accessible, ways to approach their questions/problems, meanwhile getting familiar with, often short, mathematical/logical reasoning. The layout is designed so that the theory, applications, and examples are in correlation with each other. The book covers crucial concepts of whole calculus, linear and abstract algebra, as well as analysis, applied math, mathematical statistics, and numerical analysis. Most of the complex theorems appear in a simplified form without affecting their context. There are appendices with Mathematica and MatLab programming, which contain programs of simple character for educational purposes, as well as some more involved ones designed to solve problems of more real application.Key Features: oThe current handbooks, although very useful and important texts, contain collections of formulas, theorems and tables, where often analytic treatment and logical reasoning are missingoIt is a blind form, e.g. "to present the expressions for a" function and its integral/derivative, with no reasoning "at all". Then, even a misprint may not be discovered by the readeroIt is understandable that it is not possible to cover everything in one volume. In this book we have a rather different strategy, where most concepts/formulas preceded by adequate theory supporting the reader to follow up the concept and be able to have own reasoningoQR-codes are provided for selected theorems, containing their proofs and some relevant examples

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