Riemann's Zeta Function


Book Description

Superb high-level study of one of the most influential classics in mathematics examines landmark 1859 publication entitled “On the Number of Primes Less Than a Given Magnitude,” and traces developments in theory inspired by it. Topics include Riemann's main formula, the prime number theorem, the Riemann-Siegel formula, large-scale computations, Fourier analysis, and other related topics. English translation of Riemann's original document appears in the Appendix.




Number Theory


Book Description

This two-volume book is a modern introduction to the theory of numbers, emphasizing its connections with other branches of mathematics. Part A is accessible to first-year undergraduates and deals with elementary number theory. Part B is more advanced and gives the reader an idea of the scope of mathematics today. The connecting theme is the theory of numbers. By exploring its many connections with other branches a broad picture is obtained. The book contains a treasury of proofs, several of which are gems seldom seen in number theory books.













Mathematics of Information and Coding


Book Description

This book is intended to provide engineering and/or statistics students, communications engineers, and mathematicians with the firm theoretic basis of source coding (or data compression) in information theory. Although information theory consists of two main areas, source coding and channel coding, the authors choose here to focus only on source coding. The reason is that, in a sense, it is more basic than channel coding, and also because of recent achievements in source coding and compression. An important feature of the book is that whenever possible, the authors describe universal coding methods, i.e., the methods that can be used without prior knowledge of the statistical properties of the data. The authors approach the subject of source coding from the very basics to the top frontiers in an intuitively transparent, but mathematically sound, manner. The book serves as a theoretical reference for communication professionals and statisticians specializing in information theory. It will also serve as an excellent introductory text for advanced-level and graduate students taking elementary or advanced courses in telecommunications, electrical engineering, statistics, mathematics, and computer science.




Andhra Pradesh EAMCET Chapterwise Solutions 2020-2018 Mathematics for 2021 Exam


Book Description

1. EAMCET Chapterwise Solutions 2020-2018 – Mathematics 2. The book divided into 29 Chapters 3. Each chapter is provided with the sufficient number of previous question 4. 3 Practice Sets given to know the preparation levels The Andhra Pradesh State Council of Higher Education (APSCHE) has announced the admissions in Andhra Pradesh Engineering Agricultural and Medical Common Entrance Test (AP EAMCET). Students are required proper preparation and practice of the syllabus in order to get admissions in the best colleges of the state. In order to ease the preparation of the exam, Arihant introduces the new edition “Andhra Pradesh EAMCET Chapterwise Solutions 2020-2018 – Mathematics” this book is designed to provide the suitable study and practice material aid as per the exam pattern. The entire syllabus has been divided into 29 chapters of the subject. Each chapter is provided with the sufficient number of previous question from 2018 to 2020. Lastly, there are 3 Practice Sets giving a finishing touch to the knowledge that has been acquired. TOC Complex Numbers and De-Moiver’s Theorems, Quadratic Equations, Theory of Equations, Functions, Mathematical Inductions, Partial Fractions, Binomial Theorems, Permutations and Combinations, Matrices and Determinants, Measures of Dispersions, Probability, Trigonometry Functions and Identities, Trigonometry Equations, Properties of Triangles, Inverse Trigonometric Functions, Hyperbolic Functions, Rectangular Cartesian Coordinates, Straight Line and Pair of Straight Lines, Circle and System of Circles, Conic Sections, Vector Algebra, Three Dimensional Geometry, Limits and Continuity, Differentiation, Applications of Derivatives, Indefinite Integral and Its Applications, Differential Equations, Miscellaneous, Practice Sets (1-3).




Ordinary and Partial Differential Equations


Book Description

This book has been designed for Undergraduate (Honours) and Postgraduate students of various Indian Universities.A set of objective problems has been provided at the end of each chapter which will be useful to the aspirants of competitve examinations




CBSE MATHEMATICS : FOR CLASS XII - PART I


Book Description

Strictly as per the new CBSE course structure and NCERT guidelines, this thoroughly revised and updated textbook is meant for class XII of senior secondary schools (under the 10 + 2 pattern of education). The subject matter of this book is presented in a very systematic and logical manner. Every effort has been made to make the contents as lucid as possible so that the beginners will grasp the fundamental concepts in an unambiguous manner. KEY FEATURES •Large number of solved examples to understand the subject. •Categorization of problems under: •Level of Difficulty A (Cover the needs of the students preparing for CBSE exams) •Level of Difficulty B (Guide the students for engineering entrance examinations). •A Smart Table at the beginning of each chapter to decide the relative importance of topics in the CBSE exam. •Problem Solving Trick(s) to enhance the problem solving skills. •A list of Important Formulae at the beginning of the book. Besides this, each chapter is followed by a Chapter Test and an exercise in which the questions from the CBSE papers of previous years are provided. Working hints to a large number of problems are given at the end of each and every exercise. In a nut shell, this book will help the students score high marks in CBSE, and at the same time build a strong foundation for success in any competitive examination.