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 front, many of which are taken up in this volume. A unified treatment of the classical theory is also presented, with some attempt made to preserve its classical flavour. Since its inception early this century the notion of a normal family has played a central role in the development of complex function theory. In fact, it is a concept lying at the very heart of the subject, weaving a line of thought through Picard's theorems, Schottky's theorem, and the Riemann mapping theorem, to many modern results on meromorphic functions via the Bloch principle. It is this latter that has provided considerable impetus over the years to the study of normal families, and continues to serve as a guiding hand to future work. Basically, it asserts that a family of analytic (meromorphic) functions defined by a particular property, P, is likely to be a normal family if an entire (meromorphic in

Normal Families (Universitext)

Science & Math

Schiff, Joel L.

Mathematics

Springer

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 tried to bring to the subject a certain amount of mathematical correctness and make it accessible to un dergraduates. Th this end, this text addresses a number of issues that are rarely considered. For instance, when we apply the Laplace trans form method to a linear ordinary differential equation with constant coefficients, any(n) + an-lY(n-l) + · · · + aoy = f(t), why is it justified to take the Laplace transform of both sides of the equation (Theorem A. 6)? Or, in many proofs it is required to take the limit inside an integral. This is always fraught with danger, especially with an improper integral, and not always justified. I have given complete details (sometimes in the Appendix) whenever this procedure is required. IX X Preface Furthermore, it is sometimes desirable to take the Laplace trans form of an infinite series term by term. Again it is shown that this cannot always be done, and specific sufficient conditions are established to justify this operation.

The Laplace Transform: Theory and Applications (Undergraduate Texts in Mathematics)

Cellular Automata: A Discrete View of the World

Cellular Automata: A Discrete View of the World

Wiley-Interscience

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 Ukraine the family soon settled in France, first in Nice and later in Paris. Taught entirely by tutors Marie spoke multiple languages, played numerous musical instruments and longed for a singing career on the stage. An illness that affected her throat made her change course and she took up painting for which she had a latent talent. As a student at the AcadEmie Julian in Paris she was soon exhibiting at the annual Paris Salon, the premier venue for artists.But it was her personality that makes Marie Bashkirtseff such an exceptional individual. At a very young age she was already exhibiting in her Journal the thoughts of a learned philosopher, wrestling with the nature of God, the position of women in society, the politics of men. Having contracted tuberculosis in early childhood she ceaselessly strove to shrug it off in her quest to achieve greatness. In the end, a great tragedy unfolds.The book is somewhat unique in format. The first part is a biographical section that describes Marie's unusual and fascinating life. Then a second section, consists of a single Journal excerpt (in English translation from the original French) on each left-hand page, juxtaposed with one of her outstanding works of art on the facing page. In this manner, we learn about her remarkable life and tribulations, enter her restive and brilliant mind via her Journal, as well as appreciate her exceptionally fine works as an artist.

Portrait of Young Genius: The Mind and Art of Marie Bashkirtseff [Premium Color] (Vernon the History of Art)

Arts & Photography

History & Criticism

Vernon Press

The Most Interesting Galaxies in the Universe (Iop Concise Physics)

Astronomy & Space Science

IOP Concise Physics

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, black holes, infinity, and more. Included are such goodies as measuring the speed of light with your microwave oven, determining the size of the Earth with a stick in the ground and the age of the Solar System from meteorites, understanding how the Theory of Relativity makes your everyday GPS system possible, and so much more. These topics are easily accessible to anyone who has ever brushed up against the Pythagorean Theorem and the symbol π, with the lightest dusting of algebra. Through this book, science-curious readers will come to appreciate the patterns, seeming contradictions, and extraordinary mathematical beauty of our Universe.\nFrom the Back Cover\nThis 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, black holes, infinity, and more. Included are such goodies as measuring the speed of light with your microwave oven, determining the size of the Earth with a stick in the ground and the age of the Solar System from meteorites, understanding how the Theory of Relativity makes your everyday GPS system possible, and so much more. These topics are easily accessible to anyone who has ever brushed up against the Pythagorean Theorem and the symbol π, with the lightest dusting of algebra. Through this book, science-curious readers will come to appreciate the patterns, seeming contradictions, and extraordinary mathematical beauty of our Universe.

The Mathematical Universe: From Pythagoras to Planck (Springer Praxis Books)

Topics in Complex Analysis (De Gruyter Studies in Mathematics, 88)

de Gruyter

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 and from its first discoveries to ongoing scientific research. No matter your specialty or level of orchid expertise, you can find in this book new and fascinating facts and stories that will make you gasp, laugh, and read on. Through the many exotic and beautiful pictures permeating these pages, you will come to know something of the infinite diversity of this plant family and at last learn why so many orchid growers and fanatics have embarked on this same endless path. “I was smitten with this book after reading the very first chapter on the history of Orchids...There are plenty of interesting facts to charm your orchid friends and impress even the most studied researcher… All in all a fabulous read that is well illustrated and with a reference section the likes of which I have never seen before with its vast and varied appendices on a slew of subjects. If you are looking for a book that is engaging and educational with lots of good humor thrown in, then this book is for you. I know that I will treasure my copy for years to come.” -- Laura Newton, American Orchid Society Awards Registrar and Accredited Judge, ORCHIDS Magazine (May, 2018) "Joel L. Schiff brings to life not just the science surrounding orchids, but the human process of recognizing, cataloging, and appreciating them...It's this approach, combined with lovely close-up color photos throughout, which makes Rare and Exotic Orchids a recommendation not just for professionals or botany libraries, but for general-interest readers who will enjoy a highly accessible study that invites an in-depth interest in orchids and their importance to human affairs."-- Diane Donovan’s Pick of the Month (April, 2018)

Rare and Exotic Orchids: Their Nature and Cultural Significance

Biological Sciences

See the best price to sell, buy, or rent books by Schiff, Joel L.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Schiff, Joel L.

See the best price to sell, buy, or rent books by Schiff, Joel L.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Normal Families (Universitext)

The Laplace Transform: Theory and Applications (Undergraduate Texts in Mathematics)

Cellular Automata: A Discrete View of the World

Portrait of Young Genius: The Mind and Art of Marie Bashkirtseff [Premium Color] (Vernon the History of Art)

The Most Interesting Galaxies in the Universe (Iop Concise Physics)

The Mathematical Universe: From Pythagoras to Planck (Springer Praxis Books)

Topics in Complex Analysis (De Gruyter Studies in Mathematics, 88)

Rare and Exotic Orchids: Their Nature and Cultural Significance

Rare and Exotic Orchids: Their Nature and Cultural Significance