Lectures on Complex Integration (Undergraduate Lecture Notes in Physics)

Thanks again Fred, Mike and David! If you are one of my current students and are here looking for homework assignments I've got a set of links that will get you to the right pages listed here. I've made most of the pages on this site available for download as well.

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These downloadable versions are in pdf format. Each subject on this site is available as a complete download and in the case of very large documents I've also split them up into smaller portions that mostly correspond to each of the individual topics. To get the downloadable version of any topic navigate to that topic and then under the Download menu you will be presented an option to download the topic.

Here is a complete listing of all the subjects that are currently available on this site as well as brief descriptions of each.

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In particular it is assumed that the exponents and factoring sections will be more of a review for you. Also, it is assumed that you've seen the basics of graphing equations.

Graphing particular types of equations is covered extensively in the notes, however, it is assumed that you understand the basic coordinate system and how to plot points. There is some review of a couple of Algebra and Trig topics, but for the most part it is assumed that you do have a decent background in Algebra and Trig. These notes assume no prior knowledge of Calculus.

Mathematics III - Complex Analysis - Spring 16

It is also assumed that you have a fairly good knowledge of Trig. Several topics rely heavily on trig and knowledge of trig functions. It also assumes that the reader has a good knowledge of several Calculus II topics including some integration techniques, parametric equations, vectors, and knowledge of three dimensional space. These notes assume no prior knowledge of differential equations.

A good grasp of Calculus is required however. This includes a working knowledge of differentiation and integration. Not all the topics covered in an Algebra or Trig class are covered in this review.

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I've mostly covered topics that are of particular importance to students in a Calculus class. Undergraduate Lecture Notes in Physics: Lectures on Complex Integration by A. Alexander Gogolin was born in Tbilisi Georgia in Some particularly fascinating examples are seemingly complicated integrals which are effortlessly computed after reshaping them into integrals along contours, as well as apparently difficult differential and integral equations, which can be elegantly solved using similar methods.

To use them is sometimesroutine but in many cases it borders on an art.

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The goal of the book is to introduce the reader to this beautiful area of mathematics and to teach him or her how to use these methods to solve a variety of problems ranging from computation of integrals to solving difficult integral equations. This is done with a help of numerous examples and problems with detailed solutions. Additional Details Number of Volumes.

Reviews From the book reviews: There is a set of representative exercises and the end of each chapter, with complete solutions in the back of the book.