[PDF] Indiana University Mathematics Department eBook

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Indiana University: Mathematics Department

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Page : pages
File Size : 20,57 MB
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Features the Mathematics Department of Indiana University in Bloomington. Discusses the undergraduate and graduate mathematics programs, including degree requirements, personnel, course listings, and a tutor list. Highlights the faculty, staff, and seminars. Provides access to the Center for Statistical and Mathematical Computing, the Swain Hall Library, and the "Indiana University Mathematics Journal." Links to mathematics resources.

Monoidal Categories and Topological Field Theory

Author : Vladimir Turaev
Publisher : Birkhäuser
Page : 513 pages
File Size : 40,52 MB
Release : 2017-06-28
Category : Mathematics
ISBN : 3319498347

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This monograph is devoted to monoidal categories and their connections with 3-dimensional topological field theories. Starting with basic definitions, it proceeds to the forefront of current research. Part 1 introduces monoidal categories and several of their classes, including rigid, pivotal, spherical, fusion, braided, and modular categories. It then presents deep theorems of Müger on the center of a pivotal fusion category. These theorems are proved in Part 2 using the theory of Hopf monads. In Part 3 the authors define the notion of a topological quantum field theory (TQFT) and construct a Turaev-Viro-type 3-dimensional state sum TQFT from a spherical fusion category. Lastly, in Part 4 this construction is extended to 3-manifolds with colored ribbon graphs, yielding a so-called graph TQFT (and, consequently, a 3-2-1 extended TQFT). The authors then prove the main result of the monograph: the state sum graph TQFT derived from any spherical fusion category is isomorphic to the Reshetikhin-Turaev surgery graph TQFT derived from the center of that category. The book is of interest to researchers and students studying topological field theory, monoidal categories, Hopf algebras and Hopf monads.

Darts on History of Mathematics

Author : SATISH C. BHATNAGAR
Publisher : Trafford Publishing
Page : 305 pages
File Size : 39,13 MB
Release : 2014-10-29
Category : History
ISBN : 1490749381

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What is new in the book? Apart from its format, in brief, it has thought-provoking angles of observation and deductive conclusions on many topics, which may look ordinary or rare. Who will benefit from the book? Any lay person with an historical bent of mind on mathematical topics stands to gain from it. Both undergraduate and graduate students in history of mathematics courses would enjoy it. All reflections are independentthey are excellent bedtime reading too.

Intermediate Algebra

Author : James A. Streeter
Publisher :
Page : 400 pages
File Size : 19,75 MB
Release : 1998
Category : Algebra
ISBN : 9780390980076

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BIG Jobs Guide

Author : Rachel Levy
Publisher : SIAM
Page : 154 pages
File Size : 17,92 MB
Release : 2018-06-29
Category : Mathematics
ISBN : 161197528X

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Jobs using mathematics, statistics, and operations research are projected to grow by almost 30% over the next decade. BIG Jobs Guide helps job seekers at every stage of their careers in these fields explore opportunities in business, industry, and government (BIG). Written in a conversational and practical tone, BIG Jobs Guide offers insight on topics such as: - What skills can I offer employers? - How do I write a high-impact r?esume? - Where can I find a rewarding internship? - What kinds of jobs are out there for me? The Guide also offers insights to advisors and mentors on topics such as how departments can help students get BIG jobs and how faculty members and internship mentors can build institutional relationships. Whether you're an undergraduate or graduate student or a job seeker in mathematics, statistics, or operations research, this hands-on book will help you reach your goal?landing an internship, getting your first job or transitioning to a new one.

Practical Analysis of Algorithms

Author : Dana Vrajitoru
Publisher : Springer
Page : 475 pages
File Size : 31,11 MB
Release : 2014-09-03
Category : Computers
ISBN : 3319098888

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This book introduces the essential concepts of algorithm analysis required by core undergraduate and graduate computer science courses, in addition to providing a review of the fundamental mathematical notions necessary to understand these concepts. Features: includes numerous fully-worked examples and step-by-step proofs, assuming no strong mathematical background; describes the foundation of the analysis of algorithms theory in terms of the big-Oh, Omega, and Theta notations; examines recurrence relations; discusses the concepts of basic operation, traditional loop counting, and best case and worst case complexities; reviews various algorithms of a probabilistic nature, and uses elements of probability theory to compute the average complexity of algorithms such as Quicksort; introduces a variety of classical finite graph algorithms, together with an analysis of their complexity; provides an appendix on probability theory, reviewing the major definitions and theorems used in the book.

Elements of Phase Transitions and Critical Phenomena

Author : Hidetoshi Nishimori
Publisher : Oxford University Press
Page : 373 pages
File Size : 45,3 MB
Release : 2011
Category : Science
ISBN : 0199577226

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As an introductory account of the theory of phase transitions and critical phenomena, this book reflects lectures given by the authors to graduate students at their departments and is thus classroom-tested to help beginners enter the field. Most parts are written as self-contained units and every new concept or calculation is explained in detail without assuming prior knowledge of the subject. The book significantly enhances and revises a Japanese version which is a bestseller in the Japanese market and is considered a standard textbook in the field. It contains new pedagogical presentations of field theory methods, including a chapter on conformal field theory, and various modern developments hard to find in a single textbook on phase transitions. Exercises are presented as the topics develop, with solutions found at the end of the book, making the text useful for self-teaching, as well as for classroom learning.

Catalogue

Author : Indiana University
Publisher :
Page : 56 pages
File Size : 27,76 MB
Release : 1876
Category :
ISBN :

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