Fibre Bundles

Fibre Bundles PDF Author: D. Husemöller
Publisher: Springer Science & Business Media
ISBN: 1475740085
Category : Mathematics
Languages : en
Pages : 333

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Book Description
The notion of a fibre bundle first arose out of questions posed in the 1930s on the topology and geometry of manifolds. By the year 1950 the defini tion of fibre bundle had been clearly formulated, the homotopy classifica tion of fibre bundles achieved, and the theory of characteristic classes of fibre bundles developed by several mathematicians, Chern, Pontrjagin, Stiefel, and Whitney. Steenrod's book, which appeared in 1950, gave a coherent treatment of the subject up to that time. About 1955 Milnor gave a construction of a universal fibre bundle for any topological group. This construction is also included in Part I along with an elementary proof that the bundle is universal. During the five years from 1950 to 1955, Hirzebruch clarified the notion of characteristic class and used it to prove a general Riemann-Roch theorem for algebraic varieties. This was published in his Ergebnisse Monograph. A systematic development of characteristic classes and their applications to manifolds is given in Part III and is based on the approach of Hirze bruch as modified by Grothendieck.

Fibre Bundles

Fibre Bundles PDF Author: D. Husemöller
Publisher: Springer Science & Business Media
ISBN: 1475740085
Category : Mathematics
Languages : en
Pages : 333

Get Book Here

Book Description
The notion of a fibre bundle first arose out of questions posed in the 1930s on the topology and geometry of manifolds. By the year 1950 the defini tion of fibre bundle had been clearly formulated, the homotopy classifica tion of fibre bundles achieved, and the theory of characteristic classes of fibre bundles developed by several mathematicians, Chern, Pontrjagin, Stiefel, and Whitney. Steenrod's book, which appeared in 1950, gave a coherent treatment of the subject up to that time. About 1955 Milnor gave a construction of a universal fibre bundle for any topological group. This construction is also included in Part I along with an elementary proof that the bundle is universal. During the five years from 1950 to 1955, Hirzebruch clarified the notion of characteristic class and used it to prove a general Riemann-Roch theorem for algebraic varieties. This was published in his Ergebnisse Monograph. A systematic development of characteristic classes and their applications to manifolds is given in Part III and is based on the approach of Hirze bruch as modified by Grothendieck.

Bundles

Bundles PDF Author: Sheri Kunkle
Publisher: Austin Macauley
ISBN: 9781398406810
Category :
Languages : en
Pages : 262

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Book Description
Terror, heartbreak, deceit, rape, tragedy, despair and finding the will to survive. These are the driving forces in the lives of three very different women. Shelly is a talented young artist, attending school, and dreaming of a future career and a life with the man she is dating. Lynne, a mobility instructor at a school for blind children, is building a family with her husband and young son. Lora, a human resources professional, is living a magical life of travel, theatre, sailing, and great restaurants with the husband she loves. And then a new reality descends upon each of them. Will these three women take steps to move towards their tomorrows? Will Shelly find a way to rescue herself by changing the game from his to hers without his knowledge? Will Lynne provide the necessary care for a 3-pound baby on 7 different medications due to severely compromised lungs? Will Lora accept that her amazingly wonderful marriage has been a hoax and find a way to define a new existence for herself? Continued captivity, the breakdown of a family, and the choice to end a life could be the consequences of failure. Their stories cross time, entwine with other lives, and ultimately converge at a pivotal moment in each of their lives.

Principal Bundles

Principal Bundles PDF Author: Stephen Bruce Sontz
Publisher: Springer
ISBN: 331914765X
Category : Science
Languages : en
Pages : 285

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Book Description
This introductory graduate level text provides a relatively quick path to a special topic in classical differential geometry: principal bundles. While the topic of principal bundles in differential geometry has become classic, even standard, material in the modern graduate mathematics curriculum, the unique approach taken in this text presents the material in a way that is intuitive for both students of mathematics and of physics. The goal of this book is to present important, modern geometric ideas in a form readily accessible to students and researchers in both the physics and mathematics communities, providing each with an understanding and appreciation of the language and ideas of the other.

Vector Bundles and Their Applications

Vector Bundles and Their Applications PDF Author: Glenys Luke
Publisher: Springer Science & Business Media
ISBN: 1475769237
Category : Mathematics
Languages : en
Pages : 259

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Book Description
The book is devoted to the basic notions of vector bundles and their applications. The focus of attention is towards explaining the most important notions and geometric constructions connected with the theory of vector bundles. Theorems are not always formulated in maximal generality but rather in such a way that the geometric nature of the objects comes to the fore. Whenever possible examples are given to illustrate the role of vector bundles. Audience: With numerous illustrations and applications to various problems in mathematics and the sciences, the book will be of interest to a range of graduate students from pure and applied mathematics.

By the Bundle

By the Bundle PDF Author: Emma Jean Jansen
Publisher: Lucky Spool
ISBN: 9781940655178
Category : Crafts & Hobbies
Languages : en
Pages : 128

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Book Description
"Turn precuts into patchwork with 12 fat quarter-friendly quilts"--cover.

The Night Before Preschool

The Night Before Preschool PDF Author: Natasha Wing
Publisher: Penguin
ISBN: 1101636645
Category : Juvenile Fiction
Languages : en
Pages : 36

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Book Description
It's the night before preschool, and a little boy named Billy is so nervous he can't fall asleep. The friends he makes the next day at school give him a reason not to sleep the next night, either: he's too excited about going back! The book's simple rhyming text and sweet illustrations will soothe any child's fears about the first day of school.

Classic Traveller

Classic Traveller PDF Author: Marc Miller
Publisher:
ISBN: 9781558782198
Category :
Languages : en
Pages :

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Book Description


On Her Own Ground

On Her Own Ground PDF Author: A'Lelia Bundles
Publisher: Scribner
ISBN: 0743431723
Category : Biography & Autobiography
Languages : en
Pages : 416

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Book Description
Soon to be a Netflix series starring Octavia Spencer, On Her Own Ground is the first full-scale biography of “one of the great success stories of American history” (The Philadelphia Inquirer), Madam C.J. Walker—the legendary African American entrepreneur and philanthropist—by her great-great-granddaughter, A’Lelia Bundles. The daughter of formerly enslaved parents, Sarah Breedlove—who would become known as Madam C. J. Walker—was orphaned at seven, married at fourteen, and widowed at twenty. She spent the better part of the next two decades laboring as a washerwoman for $1.50 a week. Then—with the discovery of a revolutionary hair care formula for black women—everything changed. By her death in 1919, Walker managed to overcome astonishing odds: building a storied beauty empire from the ground up, amassing wealth unprecedented among black women, and devoting her life to philanthropy and social activism. Along the way, she formed friendships with great early-twentieth-century political figures such as Ida B. Wells, Mary McLeod Bethune, W.E.B. Du Bois, and Booker T. Washington.

Ulrich Bundles

Ulrich Bundles PDF Author: Laura Costa
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110645807
Category : Mathematics
Languages : en
Pages : 283

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Book Description
The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.

Six by Seuss

Six by Seuss PDF Author: Dr. Seuss
Publisher: Random House Books for Young Readers
ISBN: 0679821481
Category : Juvenile Fiction
Languages : en
Pages : 57

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Book Description
An anthology of six stories by Dr. Seuss, including "And To Think That I Saw It On Mulberry Street," "The 500 Hats of Bartholomew Cubbins," "Horton Hatches the Egg," "How the Grinch Stole Christmas," "The Lorax," and "Yertle the Turtle."