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Complex analysis is found in many areas of applied mathematics, from fluid mechanics, thermodynamics, signal processing, control theory, mechanical and electrical engineering to quantum mechanics, among others. And of course, it is a fundamental branch of pure mathematics. The coverage in this text includes advanced topics that are not always considered in more elementary texts. These topics include, a detailed treatment of univalent functions...

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I first had a quick look, then I started reading it. I couldn't stop. -Gerard 't Hooft (Nobel Prize, in Physics 1999) This is a book about the mathematical nature of our Universe. Armed with no more than basic high school mathematics, Dr. Joel L. Schiff takes you on a foray through some of the most intriguing aspects of the world around us. Along the way, you will visit the bizarre world of subatomic particles, honey bees and ants, galaxies, b...

Comprising some 28, 000 different species, orchids are by far the largest flowering plant family on Earth. Every year, new species are being uncovered in the wild or created by humans, and so this number has only continued to blossom. This book is intended for those who wish to learn about the multifaceted nature of this amazing plant. It covers many different aspects of orchid study, from its cultural history to its evolutionary development a...

Prior to the 1920s it was generally thought, with a few exceptions, that our galaxy, the Milky Way, was the entire Universe. Based on the work of Henrietta Leavitt with Cepheid variables, astronomer Edwin Hubble was able to determine that the Andromeda Galaxy and others had to lie outside our own. Moreover, based on the work of Vesto Slipher, involving the redshifts of these galaxies, Hubble was able to determine that the Universe was not stat...

Prior to the 1920s it was generally thought, with a few exceptions, that our galaxy, the Milky Way, was the entire Universe. Based on the work of Henrietta Leavitt with Cepheid variables, astronomer Edwin Hubble was able to determine that the Andromeda Galaxy and others had to lie outside our own. Moreover, based on the work of Vesto Slipher, involving the redshifts of these galaxies, Hubble was able to determine that the Universe was not stat...

Marie Bashkirtseff was of one of the most extraordinary women of the 19th century. Her Journal (originally comprising some 20, 000 hand-written pages but pared down to a few hundred for publication) was a cause cElEbre after her death and continues to be an inspiration to the Women's Movement to this day. It also inspired such great writers as AnaIs Nin and Katherine Mansfield among many others.Born into an aristocratic family in a village in ...

Marie Bashkirtseff was of one of the most extraordinary women of the 19th century. Her Journal (originally comprising some 20, 000 hand-written pages but pared down to a few hundred for publication) was a cause cÉlÈbre after her death and continues to be an inspiration to the Women's Movement to this day. It also inspired such great writers as AnaÏs Nin and Katherine Mansfield among many others.Born into an aristocratic family in a village in ...

Comprising some 28, 000 different species, orchids are by far the largest flowering plant family on Earth. Every year, new species are being uncovered in the wild or created by humans, and so this number has only continued to blossom. This book is intended for those who wish to learn about the multifaceted nature of this amazing plant. It covers many different aspects of orchid study, from its cultural history to its evolutionary development a...

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The Laplace transform is a wonderful tool for solving ordinary and partial differential equations and has enjoyed much success in this realm. With its success, however, a certain casualness has been bred concerning its application, without much regard for hypotheses and when they are valid. Even proofs of theorems often lack rigor, and dubious mathematical practices are not uncommon in the literature for students. In the present text, I have t...

A book on the subject of normal families more than sixty years after the publication of Montel's treatise Ler, ons sur les familles normales de fonc­ tions analytiques et leurs applications is certainly long overdue. But, in a sense, it is almost premature, as so much contemporary work is still being produced. To misquote Dickens, this is the best of times, this is the worst of times. The intervening years have seen developments on a broad fro...

This book, utilizing past research and academic literature, first provides an introduction to cellular automata as a constructive method in self-replicating and dynamical systems. From this foundation, the author uses the subsequent chapters to illustrate the model's various areas of application: first, with a focus on mathematical and scientific explanation, then delving into the application of this modeling system to the social sciences as w...

Marie Bashkirtseff was of one of the most extraordinary women of the 19th century. Her Journal (originally comprising some 20, 000 hand-written pages but pared down to a few hundred for publication) was a cause célèbre after her death and continues to be an inspiration to the Women's Movement to this day. It also inspired such great writers as Anaïs Nin and Katherine Mansfield among many others. Born into an aristocratic family in a village in...

The Laplace transform is a wonderful tool for solving ordinary and partial differential equations and has enjoyed much success in this realm. With its success, however, a certain casualness has been bred concerning its application, without much regard for hypotheses and when they are valid. Even proofs of theorems often lack rigor, and dubious mathematical practices are not uncommon in the literature for students. In the present text, I have t...