Publisher's Synopsis
It is no doubt that engineering has always been one of the most sought-after career opportunities for aspirants, driving them towards a rigorous preparation in order to crack any engineering entrance exams. "Advanced Mathematics for Engineering Aspirants " is a Sachan Series of our best-in-class objective study guides in sync with class 11th and 12th syllabus to enable aspirants towards an effective preparation along with their school studies. It is divided into 20 chapters, accompanying complete text material and practice exercises, along with workbook exercises coupled with each theory. It is housed with more than 10000 MCQs and a brilliant collection of previous years' solved papers of different Engineering Entrances Examination in developed and developing Countries. The fundamental concepts and principles behind Mathematics are explained in a simple, easy- to- understand manner. Each chapter contains a large number of solved example or problem which will help the students in problem solving. This text book "Advanced Mathematics for Engineering Aspirants- Vol. 1 of 4" is organized into Six Chapters. Chapter -1: Sets, Relations and FunctionsChapter- 2: Basic AlgebraChapter -3: TrigonometryChapter-4: Combinatorics and Mathematical InductionChapter-5: Binomial Theorem, Sequences and SeriesChapter-6: Two Dimensional Analytical GeometryThe "Advanced Mathematics for Engineering Aspirants" has designed to help students learn the basics of mathematics that they are supposed to understand upon entering Intermediate school, as well as the fundamental lessons within Algebra, Geometry, and Statistics that students typically learn in 11th and 12th grade. Table of Contents (TOC) sets, fundamentals of relation and function, sequence and Series, complex Numbers, inequalities and Quadratic equation, Permutation and Combination, mathematical Induction, Binomial Theorem, Trigonometric Functions and equations, properties of Triangles, heights and Distances, Cartesian system of Rectangular coordinates, straight Line and pair of straight Lines, circle, Parabola, Ellipse, Hyperbola, introduction to three Dimensional (3D) Geometry, introduction to limits and derivatives, mathematical Reasoning, statistics, fundamentals of probability, Salient Features-Comprehensive Coverage of Sets, Relations & Functions, Basic Algebra, Trigonometry, Combinatorics & Mathematical Induction, Binomial Theorem, Sequences & Series and Two Dimensional Analytical Geometry. -Each chapter contains a large number of solved example or objective type's problem which will help the students in problem solving of Mathematics.-Clear perception of the various problems with a large number of neat, well drawn and illustrative diagrams. -Simple Language, easy- to- understand manner. Our sincere thanks are due to all Scientists, Engineers, Authors and Publishers, whose works and text have been the source of enlightenment, inspiration and guidance to us in presenting this small book. I will appreciate any suggestions from students and faculty members alike so that we can strive to make the text book more useful in the edition to come. Dr. V. K. Sachan
