The present book is an extremely useful Guide to Mathematics. The book has been conceived and developed keeping in mind the requirements of various types of readers, students and especially the aspirants of various competitive exams where Mathematics is an essential part of the exam.The book is embedded with numerous time saving techniques useful for various competitive exams. Each chapter comprises exhaustive exercises so as to provide a clear insight and a proper grip over the topic, as one learns and practise through it.Readers can prepare for competitive exams in an independent manner with the help of this book. A plentiful of questions have been incorporated in the book with answers and explanations. Further, detailed answers have also been provided to selected problems in exercises for better understanding.The book is aimed at providing intensive understanding and deep insight of the subject to the readers so that they get well-conversant with the type of questions asked in various competitive exams.