Algebra In Action
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| Author | : Shahriar Shahriari |
| Publisher | : |
| Total Pages | : 675 |
| Release | : 2017 |
| Genre | : Algebra |
| ISBN | : 9781470436612 |
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 text and to model the writing of solutions. Lattice diagrams are used throughout to visually demonstrate results and proof techniques. The book covers groups, rings, and fields. In group theory, group actions are the unifying theme and are introduced early. Ring theory is motivated by what is needed for solving Diophantine equations, and, in field theory, Galois theory and the solvability of polynomials take center stage. In each area, the text goes deep enough to demonstrate the power of abstract thinking and to convince the reader that the subject is full of unexpected results.
| Author | : Harry Dym |
| Publisher | : American Mathematical Society |
| Total Pages | : 512 |
| Release | : 2023-07-18 |
| Genre | : Mathematics |
| ISBN | : 1470472066 |
This book is based largely on courses that the author taught at the Feinberg Graduate School of the Weizmann Institute. It conveys in a user-friendly way the basic and advanced techniques of linear algebra from the point of view of a working analyst. The techniques are illustrated by a wide sample of applications and examples that are chosen to highlight the tools of the trade. In short, this is material that the author has found to be useful in his own research and wishes that he had been exposed to as a graduate student. Roughly the first quarter of the book reviews the contents of a basic course in linear algebra, plus a little. The remaining chapters treat singular value decompositions, convexity, special classes of matrices, projections, assorted algorithms, and a number of applications. The applications are drawn from vector calculus, numerical analysis, control theory, complex analysis, convex optimization, and functional analysis. In particular, fixed point theorems, extremal problems, best approximations, matrix equations, zero location and eigenvalue location problems, matrices with nonnegative entries, and reproducing kernels are discussed. This new edition differs significantly from the second edition in both content and style. It includes a number of topics that did not appear in the earlier edition and excludes some that did. Moreover, most of the material that has been adapted from the earlier edition has been extensively rewritten and reorganized.
| Author | : Wallace Clarke Boyden |
| Publisher | : |
| Total Pages | : 188 |
| Release | : 1894 |
| Genre | : Algebra |
| ISBN | : |
| Author | : Charles C Pinter |
| Publisher | : Courier Corporation |
| Total Pages | : 402 |
| Release | : 2010-01-14 |
| Genre | : Mathematics |
| ISBN | : 0486474178 |
Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.
| Author | : A. Bialynicki-Birula |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 256 |
| Release | : 2002-04-24 |
| Genre | : Mathematics |
| ISBN | : 9783540432111 |
This is the second volume of the new subseries "Invariant Theory and Algebraic Transformation Groups". The aim of the survey by A. Bialynicki-Birula is to present the main trends and achievements of research in the theory of quotients by actions of algebraic groups. This theory contains geometric invariant theory with various applications to problems of moduli theory. The contribution by J. Carrell treats the subject of torus actions on algebraic varieties, giving a detailed exposition of many of the cohomological results one obtains from having a torus action with fixed points. Many examples, such as toric varieties and flag varieties, are discussed in detail. W.M. McGovern studies the actions of a semisimple Lie or algebraic group on its Lie algebra via the adjoint action and on itself via conjugation. His contribution focuses primarily on nilpotent orbits that have found the widest application to representation theory in the last thirty-five years.
| Author | : John J. SanGiovanni |
| Publisher | : Corwin |
| Total Pages | : 217 |
| Release | : 2020-03-09 |
| Genre | : Education |
| ISBN | : 1544369433 |
All students face struggle, and they should—it is how they learn and grow. The teacher’s job is not to remove struggle, but rather to value and harness it, helping students develop good habits of productive struggle. But what’s missing for many educators is an action plan for how to achieve this, especially when it comes to math. This book guides teachers through six specific actions—including valuing, fostering, building, planning, supporting, and reflecting on struggle—to create a game plan for overcoming obstacles by sharing · Actionable steps, activities, and tools for implementation · Instructional tasks representative of each grade level · Real-world examples showcasing classroom photos and student work
| Author | : Stephen Boyd |
| Publisher | : Cambridge University Press |
| Total Pages | : 477 |
| Release | : 2018-06-07 |
| Genre | : Business & Economics |
| ISBN | : 1316518965 |
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
| Author | : I. N. Herstein |
| Publisher | : John Wiley & Sons |
| Total Pages | : 405 |
| Release | : 1991-01-16 |
| Genre | : Mathematics |
| ISBN | : 0471010901 |
New edition includes extensive revisions of the material on finite groups and Galois Theory. New problems added throughout.
| Author | : Vasilios Katsikis |
| Publisher | : BoD – Books on Demand |
| Total Pages | : 175 |
| Release | : 2016-07-06 |
| Genre | : Mathematics |
| ISBN | : 9535124196 |
The present text book contains a collection of six high-quality articles. In particular, this book is devoted to Linear Mathematics by presenting problems in Applied Linear Algebra of general or special interest.
| Author | : Scott Galloway |
| Publisher | : Penguin |
| Total Pages | : 258 |
| Release | : 2019-05-14 |
| Genre | : Self-Help |
| ISBN | : 0593084187 |
An unconventional book of wisdom and life advice from renowned business school professor and New York Times bestselling author of The Four Scott Galloway. Scott Galloway teaches brand strategy at NYU's Stern School of Business, but his most popular lectures deal with life strategy, not business. In the classroom, on his blog, and in YouTube videos garnering millions of views, he regularly offers hard-hitting answers to the big questions: What's the formula for a life well lived? How can you have a meaningful career, not just a lucrative one? Is work/life balance possible? What are the elements of a successful relationship? The Algebra of Happiness: Notes on the Pursuit of Success, Love, and Meaning draws on Professor Galloway's mix of anecdotes and no-BS insight to share hard-won wisdom about life's challenges, along with poignant personal stories. Whether it's advice on if you should drop out of school to be an entrepreneur (it might have worked for Steve Jobs, but you're probably not Steve Jobs), ideas on how to position yourself in a crowded job market (do something "boring" and move to a city; passion is for people who are already rich), discovering what the most important decision in your life is (it's not your job, your car, OR your zip code), or arguing that our relationships to others are ultimately all that matter, Galloway entertains, inspires, and provokes. Brash, funny, and surprisingly moving, The Algebra of Happiness represents a refreshing perspective on our need for both professional success and personal fulfillment, and makes the perfect gift for any new graduate, or for anyone who feels adrift.
