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Mathematical Analysis
Among the traditional purposes of such an introductory course is the training of a student in the conventions of pure mathematics: acquiring a feeling for what is considered a proof, and supplying literate written arguments to support mathematical propositions. To this extent, more than one proof is included for a theorem - where this is considered beneficial - so as to stimulate the students' reasoning for alternate approaches and ideas. The second half of this book, and consequently the second semester, covers differentiation and integration, as well as the connection between these concepts, as displayed in the general theorem of Stokes. Also included are some beautiful applications of this theory, such as Brouwer's fixed point theorem, and the Dirichlet principle for harmonic functions. Throughout, reference is made to earlier sections, so as to reinforce the main ideas by repetition. Unique in its applications to some topics not usually covered at this level.
A Beautiful Mind
A Beautiful Mind is Sylvia Nasar's award-winning biography about the mystery of the human mind, the triumph over incredible adversity, and the healing power of love. At the age of thirty-one, John Nash, mathematical genius, suffered a devastating breakdown and was diagnosed with schizophrenia. Yet after decades of leading a ghost-like existence, he was to re-emerge to win a Nobel Prize and world acclaim. A Beautiful Mind has inspired the Oscar-winning film directed by Ron Howard and featuring Russell Crowe in the lead role of John Nash.
Mathematical Apocrypha Redux: More Stories and Anecdotes of Mathematicians and the Mathematical
A companion to Mathematical Apocrypha (published in 2002) this second volume of anecdotes, stories, quips, and ruminations about mathematics and mathematicians is sure to please. It differs from other books of its type in that many of the stories are from the twentieth century and many about currently living mathematicians. A number of the best stories come from the author's first-hand experience. The writing is lively, engaging, and informative. There are stories the reader may wish to share with students and colleagues, friends, and relatives. The purpose of the book is to explore and to celebrate the many facets of mathematical life. The stories reveal mathematicians as intense, human, and sympathetic. They should resonate with readers everywhere. This book will appeal to students from high school through graduate school, to faculty and mathematical scientists of all stripes, and also to physicists, engineer, and anyone interested in mathematics.
Red Notice
Freezing Order, the follow-up to Red Notice, is available now! “[Red Notice] does for investing in Russia and the former Soviet Union what Liar’s Poker did for our understanding of Salomon Brothers, Wall Street, and the mortgage-backed securities business in the 1980s. Browder’s business saga meshes well with the story of corruption and murder in Vladimir Putin’s Russia, making Red Notice an early candidate for any list of the year’s best books” (Fortune). “Part John Grisham-like thriller, part business and political memoir.” —The New York Times This is a story about an accidental activist. Bill Browder started out his adult life as the Wall Street maverick whose instincts ...
Portraits of Conflict
A uniquely rich portrayal of Tennesseans who fought and lost their lives in the Civil War is presented in this collection of stories and portraits that are joined with personal remembrances from recovered letters and diaries and detailed historical background.
The Browder Connections
"Edmund Browder, a tobacco farmer in colonial Virginia, came to America sometime before 1693. The author believes this progenitor was of Irish descent (O'Broder, O"Broudair, etc.) but probably lived in England before coming to America. His wife was named Elizabeth, and their four sons were John (ca. 1685-1765), Edmund Jr. (ca. 1690-1771), George Andrew (born ca 1695) and William (born ca 1700)." -- welcome file from CD-ROM.
My Old Confederate Home
“A welcomed addition to the growing literature on the care of disabled Civil War veterans . . . cleverly conceived, ably crafted and eloquently written.” —R.B. Rosenburg, author of Living Monuments In the wake of America’s Civil War, homeless, disabled, and destitute veterans began appearing on the sidewalks of southern cities and towns. In 1902 Kentucky’s Confederate veterans organized and built the Kentucky Confederate Home, a luxurious refuge in Pewee Valley for their unfortunate comrades. Until it closed in 1934, the Home was a respectable—if not always idyllic—place where disabled and impoverished veterans could spend their last days in comfort and free from want. In My Ol...
Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras
This is the first volume of a two volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras. This account emphasizes the role of *-algebraic structure and explores the algebraic results that underlie the theory of Banach algebras and *-algebras. The first volume, which contains previously unpublished results, is an independent, self-contained reference on Banach algebra theory. Each topic is treated in the maximum interesting generality within the framework of some class of complex algebras rather than topological algebras. Proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, particularly in noncommutative harmonic analysis, and an extensive bibliography. Volume II is forthcoming.
Basic Real Analysis
Basic Real Analysis demonstrates the richness of real analysis, giving students an introduction both to mathematical rigor and to the deep theorems and counter examples that arise from such rigor. In this modern and systematic text, all the touchstone results and fundamentals are carefully presented in a style that requires little prior familiarity with proofs or mathematical language. With its many examples, exercises and broad view of analysis, this work is ideal for senior undergraduates and beginning graduate students, either in the classroom or for self-study.
Differential Geometry of Curves and Surfaces
Students and professors of an undergraduate course in differential geometry will appreciate the clear exposition and comprehensive exercises in this book that focuses on the geometric properties of curves and surfaces, one- and two-dimensional objects in Euclidean space. The problems generally relate to questions of local properties (the properties observed at a point on the curve or surface) or global properties (the properties of the object as a whole). Some of the more interesting theorems explore relationships between local and global properties. A special feature is the availability of accompanying online interactive java applets coordinated with each section. The applets allow students to investigate and manipulate curves and surfaces to develop intuition and to help analyze geometric phenomena.
