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Approximately Calculus
Is there always a prime number between $n$ and $2n$? Where, approximately, is the millionth prime? And just what does calculus have to do with answering either of these questions? It turns out that calculus has a lot to do with both questions, as this book can show you. The theme of the book is approximations. Calculus is a powerful tool because it allows us to approximate complicated functions with simpler ones. Indeed, replacing a function locally with a linear--or higher order--approximation is at the heart of calculus. The real star of the book, though, is the task of approximating the number of primes up to a number $x$. This leads to the famous Prime Number Theorem--and to the answers ...
Algebra in Action
This text—based on the author's popular courses at Pomona College—provides a readable, student-friendly, and somewhat sophisticated introduction to abstract algebra. It is aimed at sophomore or junior undergraduates who are seeing the material for the first time. In addition to the usual definitions and theorems, there is ample discussion to help students build intuition and learn how to think about the abstract concepts. The book has over 1300 exercises and mini-projects of varying degrees of difficulty, and, to facilitate active learning and self-study, hints and short answers for many of the problems are provided. There are full solutions to over 100 problems in order to augment the t...
Bipartite Graphs and Their Applications
This is the first book which deals solely with bipartite graphs. Together with traditional material, the reader will also find many new and unusual results. Essentially all proofs are given in full; many of these have been streamlined specifically for this text. Numerous exercises of all standards have also been included. The theory is illustrated with many applications especially to problems in timetabling, Chemistry, Communication Networks and Computer Science. For the most part the material is accessible to any reader with a graduate understanding of mathematics. However, the book contains advanced sections requiring much more specialized knowledge, which will be of interest to specialists in combinatorics and graph theory.
Topics in Graph Automorphisms and Reconstruction
An in-depth coverage of selected areas of graph theory focusing on symmetry properties of graphs, ideal for beginners and specialists.
The Perfect Shot
Someone murdered Brian's girfriend, Amanda. The police think it was her father. Brian isn’t so sure. But everyone he knows is telling him to move on, get over it, focus on the present. Focus on basketball. Focus on hitting the perfect shot. Brian hopes that the system will work for Amanda and her father. An innocent man couldn’t be wrongly convicted, could he? But then Brian does a school project on Leo Frank, a Jewish man lynched decades ago for the murder of a teenage girl—a murder he didn’t commit. Worse still, Brian’s teammate Julius gets arrested for nothing more than being a black kid in the wrong place at the wrong time. Brian can’t deny any longer that the system is flawed. As Amanda’s father goes on trial, Brian admits to himself that he knows something that could break the case. But if he comes forward, will the real killer try for another perfect shot—this time against Brian?
The Poetry of Raymond Carver
Best known as one of the great short story writers of the twentieth century, Raymond Carver also published several volumes of poetry and considered himself as much a poet as a fiction writer. Sandra Lee Kleppe combines comparative analysis with an in-depth examination of Carver’s poems, making a case for the quality of Carver’s poetic output and showing the central role Carver’s pursuit of poetry played in his career as a writer. Carver constructed his own organic literary system of 'autopoetics,' a concept connected to a paradigm shift in our understanding of the inter-relatedness of biological and cultural systems. This idea is seen as informing Carver’s entire production, and a di...
Poetry of the Desert
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Perspectives on Soviet and Russian Computing
This book contains a collection of thoroughly refereed papers derived from the First IFIP WG 9.7 Conference on Soviet and Russian Computing, held in Petrozavodsk, Russia, in July 2006. The 32 revised papers were carefully selected from numerous submissions; many of them were translated from Russian. They reflect much of the shining history of computing activities within the former Soviet Union from its origins in the 1950s with the first computers used for military decision-making problems up to the modern period where Russian ICT grew substantially, especially in the field of custom-made programming.
Number Theory
Number Theory is a newly translated and revised edition of the most popular introductory textbook on the subject in Hungary. The book covers the usual topics of introductory number theory: divisibility, primes, Diophantine equations, arithmetic functions, and so on. It also introduces several more advanced topics including congruences of higher degree, algebraic number theory, combinatorial number theory, primality testing, and cryptography. The development is carefully laid out with ample illustrative examples and a treasure trove of beautiful and challenging problems. The exposition is both clear and precise. The book is suitable for both graduate and undergraduate courses with enough material to fill two or more semesters and could be used as a source for independent study and capstone projects. Freud and Gyarmati are well-known mathematicians and mathematical educators in Hungary, and the Hungarian version of this book is legendary there. The authors' personal pedagogical style as a facet of the rich Hungarian tradition shines clearly through. It will inspire and exhilarate readers.
H_i Thi T_ Tuy_t
A collection of 90 translated Rubaiyat by Omar Khayyam into Vietnamese quattrains, based on English poetic translations by other poets.
