This text provides clear information about complex numbers. The text is supported by worked examples and it includes past examination questions and solutions. This is a title in the Maths Made Simple series.

Presents the Dirichlet problem for harmonic functions twice: once using the Poisson integral for the unit disk and again in an informal section on Brownian motion, where the reader can understand intuitively how the Dirichlet problem works for general domains. This book is suitable for a first-year course in complex analysis

Complex Numbers lie at the heart of most technical and scientific subjects. This book can be used to teach complex numbers as a course text,a revision or remedial guide, or as a self-teaching work. The author has designed the book to be a flexiblelearning tool, suitable for A-Level students as well as other students in higher and further education whose courses include a substantial maths component (e.g. BTEC or GNVQ science and engineering courses). Verity Carr has accumulated nearly thirty years of experience teaching mathematics at all levels and has a rare gift for making mathematics simple and enjoyable. At Brooklands College, she has taken a leading role in the development of a highly successful Mathematics Workshop. This series of Made Simple Maths books widens her audience but continues to provide the kind of straightforward and logical approach she has developed over her years of teaching.

This radical first course on complex analysis brings a beautiful and powerful subject to life by consistently using geometry (not calculation) as the means of explanation. Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack of advanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicated with the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.

Set in the genre of a children's book, John and Betty trace the evolution of complex numbers and explore their operations. From integers, to fractions, to surds, complex numbers are made to seem like an obvious extension. Incorporating graphing on the complex number plane and culminating in De Moivre's Theorem, the logic of complex numbers is made to seem intuitive and simple. John and Betty delight in their journey, as will senior mathematics students.

* Learn how complex numbers may be used to solve algebraic equations, as well as their geometric interpretation * Theoretical aspects are augmented with rich exercises and problems at various levels of difficulty * A special feature is a selection of outstanding Olympiad problems solved by employing the methods presented * May serve as an engaging supplemental text for an introductory undergrad course on complex numbers or number theory

A clear guide to the key concepts and mathematical techniques underlying the Schrödinger equation, including homework problems and fully worked solutions.

Math, Better Explained is an intuitive guide to the math fundamentals. Learn math the way your teachers always wanted.

An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.

DescriptionThis book is designed to give you on insight of the art and science of Computers. the book does not ned any special background to comprehend the subject matter.The book covers the entire course contents of Computer Science with Python Language for Class XI prescribed by Central Board of Secondary Education (C.B.S.E.) according to new Syllabus 2018-2019 onwards) in a clear and simple English language. It discusses Programming and Computational Thinking. Computer Systems and Organisation Concepts in very comprehensive manner to build a strong foundation. The Programming methodology and Introduction to Python language are described in easy-to-understand language. Different topics such as Control structures, Strings, Lists, Dictionaries and Tuples are explained in a very easy to understand language. Programming with Python language is explained with maximum number of examples. It presents a detailed discussion of topics such as Database Concepts, SQL, Relational Algebra, MangoDB and CyberSafety.FeaturesAmple number of diagrams are used to illustrate the subject matter for easy understandingSolved Exercises are added at the end of each chapter so that the readers can evaluate their progress by comparing their answers with the answers given in the book.Summary and Glossary related to particular chapter are given at the end of each chapter.A Lab Exercise is added at the end of each chapter.Contents Unit-1 Programming and Computational Thinking Programming Concepts, Problem Solving Methodology and Techniques, Getting Started with Python, Data Types, Variables and Constants, Operators and Expressions, Flow of Control, Functions, String Manipulation, List Manipulation, Dictionaries , Tuples, Exception Handling and DebuggingUnit-2 Computer Systems and Organisation Basic Computer Organisation, Software Concepts, Data Representation, Boolean Algebra Unit-3 Database Management Database Management Concepts Unit-4 Society, Law and Ethics - Cyber Safety Society, Law and Ethics- Cyber SafetySummary, Glossary, Solved Exercise, AssignmentsProject Work, Sample Question Paper 1 & 2