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Teutsche Algebra by Johann H. Rahn

Title Teutsche Algebra
Author Johann H. Rahn
Publisher
Release 1659
Category Algebra
Total Pages 226
ISBN
Language English, Spanish, and French
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Einf hrung in Algebra und Zahlentheorie by Rainer Schulze-Pillot

Title Einf hrung in Algebra und Zahlentheorie
Author Rainer Schulze-Pillot
Publisher Springer Spektrum
Release 2014-09-12
Category Mathematics
Total Pages 338
ISBN 9783642552151
Language English, Spanish, and French
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Book Summary:

Das Buch bietet eine neue Stoffzusammenstellung, die elementare Themen aus der Algebra und der Zahlentheorie verknüpft und für die Verwendung in Bachelorstudiengängen und modularisierten Lehramtsstudiengängen konzipiert ist. Es führt die abstrakten Konzepte der Algebra in stetem Kontakt mit konkreten Problemen der elementaren Zahlentheorie und mit Blick auf Anwendungen ein und bietet Ausblicke auf fortgeschrittene Themen. In beiden Gebieten wird ein Stand erreicht, der für Nichtspezialisten das nötige Handwerkszeug für die meisten Anwendungen (etwa in diskreter Mathematik, Kryptographie oder Signalverarbeitung) vermittelt, aber auch zu einer vertieften Beschäftigung mit Algebra und Zahlentheorie anregt und für diese eine gute Ausgangsbasis bildet. Für die dritte Auflage wurden neben einer allgemeinen Überarbeitung und Fehlerkorrektur zahlreiche Beispiele und Aufgaben neu hinzugefügt. Ferner wird in einem neuen ergänzenden Abschnitt der Beweis der Sätze der linearen Algebra über Normalformen von Matrizen mit Hilfe des Elementarteilersatzes behandelt, da dieser schöne Beweis in Lehrbüchern der Linearen Algebra selten Platz findet.

Algebra IX by A.I. Kostrikin

Title Algebra IX
Author A.I. Kostrikin
Publisher Springer Science & Business Media
Release 2013-04-17
Category Mathematics
Total Pages 240
ISBN 366203235X
Language English, Spanish, and French
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Book Summary:

The first contribution by Carter covers the theory of finite groups of Lie type, an important field of current mathematical research. In the second part, Platonov and Yanchevskii survey the structure of finite-dimensional division algebras, including an account of reduced K-theory.

Algebra 3 by Ramji Lal

Title Algebra 3
Author Ramji Lal
Publisher Springer Nature
Release 2021
Category Algebra, Homological
Total Pages 300
ISBN 9813363266
Language English, Spanish, and French
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Book Summary:

This book, the third book in the four-volume series in algebra, deals with important topics in homological algebra, including abstract theory of derived functors, sheaf co-homology, and an introduction to etale and l-adic co-homology. It contains four chapters which discuss homology theory in an abelian category together with some important and fundamental applications in geometry, topology, algebraic geometry (including basics in abstract algebraic geometry), and group theory. The book will be of value to graduate and higher undergraduate students specializing in any branch of mathematics. The author has tried to make the book self-contained by introducing relevant concepts and results required. Prerequisite knowledge of the basics of algebra, linear algebra, topology, and calculus of several variables will be useful.

Algebra by L. Rédei

Title Algebra
Author L. Rédei
Publisher Elsevier
Release 2014-07-21
Category Mathematics
Total Pages 832
ISBN 1483222640
Language English, Spanish, and French
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Book Summary:

Compared with the original German edition this volume contains the results of more recent research which have to some extent originated from problems raised in the previous German edition. Moreover, many minor and some important modifications have been carried out. For example paragraphs 2 — 5 were amended and their order changed. On the advice of G. Pickert, paragraph 7 has been thoroughly revised. Many improvements originate from H. J. Weinert who, by enlisting the services of a working team of the Teachers' Training College of Potsdam, has subjected large parts of this book to an exact and constructive review. This applies particularly to paragraphs 9, 50, 51, 60, 63, 66, 79, 92, 94, 97 and 100 and to the exercises. In this connection paragraphs 64 and 79 have had to be partly rewritten in consequence of the correction

Title Differential Equations with Linear Algebra
Author Matthew R. Boelkins
Publisher Oxford University Press
Release 2009-11-05
Category Mathematics
Total Pages 576
ISBN 0199736669
Language English, Spanish, and French
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Book Summary:

Linearity plays a critical role in the study of elementary differential equations; linear differential equations, especially systems thereof, demonstrate a fundamental application of linear algebra. In Differential Equations with Linear Algebra, we explore this interplay between linear algebra and differential equations and examine introductory and important ideas in each, usually through the lens of important problems that involve differential equations. Written at a sophomore level, the text is accessible to students who have completed multivariable calculus. With a systems-first approach, the book is appropriate for courses for majors in mathematics, science, and engineering that study systems of differential equations. Because of its emphasis on linearity, the text opens with a full chapter devoted to essential ideas in linear algebra. Motivated by future problems in systems of differential equations, the chapter on linear algebra introduces such key ideas as systems of algebraic equations, linear combinations, the eigenvalue problem, and bases and dimension of vector spaces. This chapter enables students to quickly learn enough linear algebra to appreciate the structure of solutions to linear differential equations and systems thereof in subsequent study and to apply these ideas regularly. The book offers an example-driven approach, beginning each chapter with one or two motivating problems that are applied in nature. The following chapter develops the mathematics necessary to solve these problems and explores related topics further. Even in more theoretical developments, we use an example-first style to build intuition and understanding before stating or proving general results. Over 100 figures provide visual demonstration of key ideas; the use of the computer algebra system Maple and Microsoft Excel are presented in detail throughout to provide further perspective and support students' use of technology in solving problems. Each chapter closes with several substantial projects for further study, many of which are based in applications. Errata sheet available at: www.oup.com/us/companion.websites/9780195385861/pdf/errata.pdf

Advances in Algebra by Jörg Feldvoss

Title Advances in Algebra
Author Jörg Feldvoss
Publisher Springer
Release 2019-02-27
Category Mathematics
Total Pages 322
ISBN 3030115216
Language English, Spanish, and French
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Book Summary:

This proceedings volume covers a range of research topics in algebra from the Southern Regional Algebra Conference (SRAC) that took place in March 2017. Presenting theory as well as computational methods, featured survey articles and research papers focus on ongoing research in algebraic geometry, ring theory, group theory, and associative algebras. Topics include algebraic groups, combinatorial commutative algebra, computational methods for representations of groups and algebras, group theory, Hopf-Galois theory, hypergroups, Lie superalgebras, matrix analysis, spherical and algebraic spaces, and tropical algebraic geometry. Since 1988, SRAC has been an important event for the algebra research community in the Gulf Coast Region and surrounding states, building a strong network of algebraists that fosters collaboration in research and education. This volume is suitable for graduate students and researchers interested in recent findings in computational and theoretical methods in algebra and representation theory.

Title Introduction to Abstract Algebra
Author Benjamin Fine
Publisher JHU Press
Release 2014
Category Mathematics
Total Pages 566
ISBN 1421411768
Language English, Spanish, and French
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Book Summary:

Presents a systematic approach to one of math's most intimidating concepts. Avoiding the pitfalls common in the standard textbooks, this title begins with familiar topics such as rings, numbers, and groups before introducing more difficult concepts.

Algebra by 楊蓉昌

Title Algebra
Author 楊蓉昌
Publisher 城邦印書館
Release 2019-10-16
Category Mathematics
Total Pages 453
ISBN 0965435245
Language English, Spanish, and French
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Book Summary:

任教於美國洛杉磯華裔數學老師編撰, 美國Amazon、連鎖書店、學校……等暢銷好評! 簡單易學!適合SAT, ACT, GRE, GMAT, NTE and H.S Exit相關考試! Simple and Easy to Study and Review 1. It has 19,000 examples and exercises, from simple to complex. 2. It outlines the concepts, formulas, and theorems in algebra. 3. It facilitates the learning process in problem-solving. 4. It is good for SAT, ACT, GRE, GMAT, NTE and H.S Exit. ◎海峽兩岸唯一全英文(雙語教育)高初中數學用書,價廉物美。 ◎相關好評請參閱Amazon網站100多篇讀者評鑑。 ◎台灣美國學校採用進口同類數學書每本台幣3,000元,本書價廉實用! 楊蓉昌 淡江大學管科所碩士班畢業。 中年移居美國,參加「加州數學教師資格」檢定,取得公立學校數學教師執照。任教美國洛杉磯期間,將教科書內容重點摘要,整理成簡單易學的筆記發給學生作為教材,深獲好評。爾後將教學筆記整理成書,於美國出版「A+筆記數學叢書」,包括代數、幾何、三角以及大學及研究所入學考試用書SAT、GRE、GMAT,前後在美國銷售約二十萬本。

Title Handbook of Computer Vision Algorithms in Image Algebra
Author Joseph N. Wilson
Publisher CRC Press
Release 2000-09-21
Category Technology & Engineering
Total Pages 448
ISBN 1420042386
Language English, Spanish, and French
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Book Summary:

Image algebra is a comprehensive, unifying theory of image transformations, image analysis, and image understanding. In 1996, the bestselling first edition of the Handbook of Computer Vision Algorithms in Image Algebra introduced engineers, scientists, and students to this powerful tool, its basic concepts, and its use in the concise representation of computer vision algorithms. Updated to reflect recent developments and advances, the second edition continues to provide an outstanding introduction to image algebra. It describes more than 80 fundamental computer vision techniques and introduces the portable iaC++ library, which supports image algebra programming in the C++ language. Revisions to the first edition include a new chapter on geometric manipulation and spatial transformation, several additional algorithms, and the addition of exercises to each chapter. The authors-both instrumental in the groundbreaking development of image algebra-introduce each technique with a brief discussion of its purpose and methodology, then provide its precise mathematical formulation. In addition to furnishing the simple yet powerful utility of image algebra, the Handbook of Computer Vision Algorithms in Image Algebra supplies the core of knowledge all computer vision practitioners need. It offers a more practical, less esoteric presentation than those found in research publications that will soon earn it a prime location on your reference shelf.