"So What Are You Going to Do with That?"

Author: Susan Basalla

Publisher: University of Chicago Press

Published: 2008-09-15

Total Pages: 166

ISBN-13: 0226038998

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Graduate schools churn out tens of thousands of Ph.D.’s and M.A.’s every year. Half of all college courses are taught by adjunct faculty. The chances of an academic landing a tenure-track job seem only to shrink as student loan and credit card debts grow. What’s a frustrated would-be scholar to do? Can he really leave academia? Can a non-academic job really be rewarding—and will anyone want to hire a grad-school refugee? With “So What Are You Going to Do with That?” Susan Basalla and Maggie Debelius—Ph.D.’s themselves—answer all those questions with a resounding “Yes!” A witty, accessible guide full of concrete advice for anyone contemplating the jump from scholarship to the outside world, “So What Are You Going to Do with That?” covers topics ranging from career counseling to interview etiquette to translating skills learned in the academy into terms an employer can understand and appreciate. Packed with examples and stories from real people who have successfully made this daunting—but potentially rewarding— transition, and written with a deep understanding of both the joys and difficulties of the academic life, this fully revised and up-to-date edition will be indispensable for any graduate student or professor who has ever glanced at her CV, flipped through the want ads, and wondered, “What if?” “I will absolutely be recommending this book to our graduate students exploring their career options—I’d love to see it on the coffee tables in department lounges!”—Robin B. Wagner, former associate director for graduate career services, University of Chicago


Global Calculus

Global Calculus

Author: S. Ramanan

Publisher: American Mathematical Soc.

Published: 2005

Total Pages: 330

ISBN-13: 0821837028

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The power that analysis, topology and algebra bring to geometry has revolutionised the way geometers and physicists look at conceptual problems. Some of the key ingredients in this interplay are sheaves, cohomology, Lie groups, connections and differential operators. In Global Calculus, the appropriate formalism for these topics is laid out with numerous examples and applications by one of the experts in differential and algebraic geometry. Ramanan has chosen an uncommon but natural path through the subject. In this almost completely self-contained account, these topics are developed from scratch. The basics of Fourier transforms, Sobolev theory and interior regularity are proved at the same time as symbol calculus, culminating in beautiful results in global analysis, real and complex. Many new perspectives on traditional and modern questions of differential analysis and geometry are the hallmarks of the book. The book is suitable for a first year graduate course on Global Analysis.


The Survival of a Mathematician

The Survival of a Mathematician

Author: Steven George Krantz

Publisher: American Mathematical Soc.

Published: 2009

Total Pages: 328

ISBN-13: 0821846299

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"One of the themes of the book is how to have a fulfilling professional life. In order to achieve this goal, Krantz discusses keeping a vigorous scholarly program going and finding new challenges, as well as dealing with the everyday tasks of research, teaching, and administration." "In short, this is a survival manual for the professional mathematician - both in academics and in industry and government agencies. It is a sequel to the author's A Mathematician's Survival Guide."--BOOK JACKET.


The Teacher Wars

The Teacher Wars

Author: Dana Goldstein

Publisher: Anchor

Published: 2015-08-04

Total Pages: 385

ISBN-13: 0345803620

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NEW YORK TIMES BESTSELLER • A groundbreaking history of 175 years of American education that brings the lessons of the past to bear on the dilemmas we face today—and brilliantly illuminates the path forward for public schools. “[A] lively account." —New York Times Book Review In The Teacher Wars, a rich, lively, and unprecedented history of public school teaching, Dana Goldstein reveals that teachers have been embattled for nearly two centuries. She uncovers the surprising roots of hot button issues, from teacher tenure to charter schools, and finds that recent popular ideas to improve schools—instituting merit pay, evaluating teachers by student test scores, ranking and firing veteran teachers, and recruiting “elite” graduates to teach—are all approaches that have been tried in the past without producing widespread change.


Differential Forms in Algebraic Topology

Differential Forms in Algebraic Topology

Author: Raoul Bott

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 319

ISBN-13: 1475739516

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Developed from a first-year graduate course in algebraic topology, this text is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas: de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes. By using the de Rham theory of differential forms as a prototype of cohomology, the machineries of algebraic topology are made easier to assimilate. With its stress on concreteness, motivation, and readability, this book is equally suitable for self-study and as a one-semester course in topology.


Elementary Topology

Elementary Topology

Author: O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov

Publisher: American Mathematical Soc.

Published:

Total Pages: 432

ISBN-13: 9780821886250

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This text contains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elementary segment. Proofs of theorems are separated from their formulations and are gathered at the end of each chapter, making this book appear like a problem book and also giving it appeal to the expert as a handbook. The book includes about 1,000 exercises.


A History of Algebraic and Differential Topology, 1900 - 1960

A History of Algebraic and Differential Topology, 1900 - 1960

Author: Jean Dieudonné

Publisher: Springer Science & Business Media

Published: 2009-09-01

Total Pages: 666

ISBN-13: 0817649077

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This book is a well-informed and detailed analysis of the problems and development of algebraic topology, from Poincaré and Brouwer to Serre, Adams, and Thom. The author has examined each significant paper along this route and describes the steps and strategy of its proofs and its relation to other work. Previously, the history of the many technical developments of 20th-century mathematics had seemed to present insuperable obstacles to scholarship. This book demonstrates in the case of topology how these obstacles can be overcome, with enlightening results.... Within its chosen boundaries the coverage of this book is superb. Read it! —MathSciNet


An Introduction to Contact Topology

An Introduction to Contact Topology

Author: Hansjörg Geiges

Publisher: Cambridge University Press

Published: 2008-03-13

Total Pages: 8

ISBN-13: 1139467956

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This text on contact topology is a comprehensive introduction to the subject, including recent striking applications in geometric and differential topology: Eliashberg's proof of Cerf's theorem via the classification of tight contact structures on the 3-sphere, and the Kronheimer-Mrowka proof of property P for knots via symplectic fillings of contact 3-manifolds. Starting with the basic differential topology of contact manifolds, all aspects of 3-dimensional contact manifolds are treated in this book. One notable feature is a detailed exposition of Eliashberg's classification of overtwisted contact structures. Later chapters also deal with higher-dimensional contact topology. Here the focus is on contact surgery, but other constructions of contact manifolds are described, such as open books or fibre connected sums. This book serves both as a self-contained introduction to the subject for advanced graduate students and as a reference for researchers.


Homology Theory

Homology Theory

Author: James W. Vick

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 258

ISBN-13: 1461208815

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This introduction to some basic ideas in algebraic topology is devoted to the foundations and applications of homology theory. After the essentials of singular homology and some important applications are given, successive topics covered include attaching spaces, finite CW complexes, cohomology products, manifolds, Poincare duality, and fixed point theory. This second edition includes a chapter on covering spaces and many new exercises.


A Combinatorial Introduction to Topology

A Combinatorial Introduction to Topology

Author: Michael Henle

Publisher: Courier Corporation

Published: 1994-01-01

Total Pages: 340

ISBN-13: 9780486679662

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Excellent text covers vector fields, plane homology and the Jordan Curve Theorem, surfaces, homology of complexes, more. Problems and exercises. Some knowledge of differential equations and multivariate calculus required.Bibliography. 1979 edition.