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Published **1973**
by Loughborough University of Technology Centre for the Advancement of Mathematical Education in Technology .

Written in English

**Edition Notes**

Statement | P.E. Lewis and N.E. Armitage. |

Contributions | Lewis, P. E. 1943-, Armitage, N. E., Loughborough University of Technology. Centre for the Advancement of Mathematical Education in Technology. |

ID Numbers | |
---|---|

Open Library | OL20030911M |

A good book is the one which teaches you how things work. A good book is one which aims to teach you the concept, and give you some challenging questions which in turn, will boost your understanding and confidence. A book with just loads of formul. Books on complex analysis definitely use the topics that you mentioned, but usually assume that the reader is already familiar with some algebra and geometry of complex numbers. The book Visual Complex Analysis by Tristan Needham is a great introduction to complex analysis that does not skip the fundamentals that you mentioned. In particular. Complex numbers are numbers of the form a + bi, where i = and a and b are real numbers. They are used in a variety of computations and situations. Complex numbers are useful for our purposes because they allow us to take the square root of a negative number and to calculate imaginary roots. Complex Numbers offers a fresh and critical approach to research-based implementation of the mathematical concept of imaginary numbers. Detailed coverage includes: Riemann’s zeta function: an investigation of the non-trivial roots by Euler-Maclaurin summation. Basic theory: logarithms, indices, arithmetic and integration procedures are described.

Complex numbers "break all the rules" of traditional mathematics by allowing us to take a square root of a negative number. This "radical" approach has fundamentally changed the capabilities of science and engineering to enhance our world through such applications as: signal processing, control theory, electromagnetism, fluid dynamics, quantum /5(31). It is impossible to imagine modern mathematics without complex numbers. The second edition of Complex Numbers from A to Z introduces the reader to this fascinating subject that, from the time of L. Euler, has become one of the most utilized ideas in mathematics.. The exposition concentrates on key concepts and then elementary results concerning these by: Complex Numbers - Free download Ebook, Handbook, Textbook, User Guide PDF files on the internet quickly and easily. Complex - Free download Ebook, Handbook, Textbook, User Guide PDF files on the internet quickly and easily.

Complex Numbers Richard Earl ∗ Mathematical Institute, Oxford, OX1 2LB, July Abstract This article discusses some introductory ideas associated with complex numbers, their algebra and geometry. This includes a look at their importance in solving polynomial equations, how complex numbers add and multiply, and how they can be represented. 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 flexible learning 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. COMPLEX NUMBERS AND QUADRATIC EQUATIONS i2 =− −= − −11 1 1()() (by assuming ab× = ab for all real numbers) = 1 = 1, which is a contradiction to the fact that i2 =−1. Therefore, ab ab×≠ if both a and b are negative real numbers. Further, if any of a and b is zero, then, clearly, ab ab×== 0. Identities We prove the following identityFile Size: KB. Anyone knows of a good book about complex numbers? I am looking to understand more about the relationship between i and e, the power series, and the fact that complex numbers can be represented by logarithms. I have taken up to calculus II, .

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