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Selected Works of Ellis Kolchin with Commentary
28 July 2010

Selected Works of Ellis Kolchin with Commentary
Selected Works of Ellis Kolchin with Commentary
American Mathematical Society 1999 | 639 | ISBN: 0821805428 | PDF | 10
The work of Joseph Fels Ritt and Ellis Kolchin in differential algebra paved the way for exciting new applications in constructive symbolic computation, differential Galois theory, the model theory of fields, and Diophantine geometry. This volume assembles Kolchin's mathematical papers, contributing solidly to the archive on construction of modern differential algebra. This collection of Kolchin's clear and comprehensive papers--in themselves constituting a history of the subject--is an invaluable aid to the student of differential algebra. In 1910, Ritt created a theory of algebraic differential equations modeled not on the existing transcendental methods of Lie, but rather on the new algebra being developed by E. Noether and B. van der Waerden. Building on Ritt's foundation, and deeply influenced by Weil and Chevalley, Kolchin opened up Ritt theory to modern algebraic geometry. In so doing, he led differential geometry in a new direction. By creating differential algebraic geometry and the theory of differential algebraic groups, Kolchin provided the foundation for a ``new geometry'' that has led to both a striking and an original approach to arithmetic algebraic geometry. Intriguing possibilities were introduced for a new language for nonlinear differential equations theory. The volume includes commentary by A. Borel, M. Singer, and B. Poizat. Also Buium and Cassidy trace the development of Kolchin's ideas, from his important early work on the differential Galois theory to his later groundbreaking results on the theory of differential algebraic geometry and differential algebraic groups. Commentaries are self-contained with numerous examples of various aspects of differential algebra and its applications. Central topics of Kolchin's work are discussed, presenting the history of differential algebra and exploring how his work grew from and transformed the work of Ritt. New directions of differential algebra are illustrated, outlining important current advances. Prerequisite to understanding the text is a background at the beginning graduate level in algebra, specifically commutative algebra, the theory of field extensions, and Galois theory. ...
Linear Algebra and Smarandache Linear Algebra
8 November 2010

Linear Algebra and Smarandache Linear Algebra

Linear Algebra and Smarandache Linear Algebra

American Research Press 2003 | 175 | ISBN: 1931233756 | PDF | 1 Mb

This book is divided into four chapters. The first chapter is divided into ten sections which deal with, and introduce, all notions of linear algebra. In the second chapter, on Smarandache Linear Algebra, we provide the Smarandache analogues of the various concepts related to linear algebra. Chapter three suggests some application of Smarandache linear algebra. We indicate that Smarandache vector spaces of type II will be used in the study of neutrosophic logic and its applications to Markov chains and Leontief Economic models both of these research topics have intense industrial applications. The final chapter gives 131 significant problems of interest, and finding solutions to them will greatly increase the research carried out in Smarandache linear algebra and its applications....
Basic Algebra: Along with a Companion Volume Advanced Algebra
9 April 2010

Basic Algebra: Along with a Companion Volume 'Advanced Algebra'


Basic Algebra: Along with a Companion Volume 'Advanced Algebra'
Publisher: Birkhäuser Boston | ISBN: 0817632484 | edition 2006 | PDF | 717 pages | 10 mb


Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole.

Further Algebra and Applications
8 October 2010

Further Algebra and Applications


Further Algebra and Applications by Paul M. Cohn


Springer | 2010 | ISBN: 1852336676 | 459 pages | PDF | 24 MB



Further Algebra and Applications is the second volume of a new and revised edition of P.M. Cohn's classic three-volume text "Algebra" which is widely regarded as one of the most outstanding introductory algebra textbooks. For this edition, the text has been reworked and updated into two self-contained, companion volumes, covering advanced topics in algebra for second- and third-year undergraduate and postgraduate research students. The first volume, "Basic Algebra", covers the important results of algebra; this companion volume focuses on the applications and covers the more advanced parts of topics such as: - groups and algebras - homological algebra - universal algebra - general ring theory - representations of finite groups - coding theory - languages and automata The author gives a clear account, supported by worked examples, with full proofs. There are numerous exercises with occasional hints, and some historical remarks.
Further Algebra and Applications
8 October 2010

Further Algebra and Applications

Paul M. Cohn, "Further Algebra and Applications
Springer | 2010 | ISBN: 1852336676 | 459 pages | PDF | 23,7 MB

Further Algebra and Applications is the second volume of a new and revised edition of P.M. Cohn's classic three-volume text "Algebra" which is widely regarded as one of the most outstanding introductory algebra textbooks. For this edition, the text has been reworked and updated into two self-contained, companion volumes, covering advanced topics in algebra for second- and third-year undergraduate and postgraduate research students. The first volume, "Basic Algebra", covers the important results of algebra; this companion volume focuses on the applications and covers the more advanced parts of topics such as: - groups and algebras - homological algebra - universal algebra - general ring theory - representations of finite groups - coding theory - languages and automata The author gives a clear account, supported by worked examples, with full proofs. There are numerous exercises with occasional hints, and some historical remarks.
Basic Algebra: Along with a Companion Volume 'Advanced Algebra'
21 March 2011

Basic Algebra: Along with a Companion Volume 'Advanced Algebra'

Basic Algebra: Along with a Companion Volume 'Advanced Algebra'

Publisher: Birkhauser Boston | ISBN: 0817632484 | edition 2006 | PDF | 717 pages | 10 mb

Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole.
Head First Algebra: A Learner's Guide to Algebra
26 January 2011

Head First Algebra: A Learner's Guide to Algebra
Head First Algebra: A Learner's Guide to Algebra
O'Reilly Media, Inc. | 2009 | ISBN: 0596514867 | 559 pages | PDF | 50 MB

Having trouble understanding algebra? Do algebraic concepts, equations, and logic just make your head spin? We have great news: Head First Algebra is designed for you. Full of engaging stories and practical, real-world explanations, this book will help you learn everything from natural numbers and exponents to solving systems of equations and graphing polynomials.
Along the way, you'll go beyond solving hundreds of repetitive problems, and actually use what you learn to make real-life decisions. Does it make sense to buy two years of insurance on a car that depreciates as soon as you drive it off the lot? Can you really afford an XBox 360 and a new iPhone? Learn how to put algebra to work for you, and nail your class exams along the way.
Algebra II Essentials For Dummies
9 October 2010

Algebra II Essentials For Dummies


Algebra II Essentials For Dummies by Mary Jane Sterling


For Dummies | 2010 | ISBN: 047061840X | 192 pages | PDF | 14 MB



Passing grades in two years of algebra courses are required for high school graduation. Algebra II Essentials For Dummies covers key ideas from typical second-year Algebra coursework to help students get up to speed. Free of ramp-up material, Algebra II Essentials For Dummies sticks to the point, with content focused on key topics only. It provides discrete explanations of critical concepts taught in a typical Algebra II course, from polynomials, conics, and systems of equations to rational, exponential, and logarithmic functions. This guide is also a perfect reference for parents who need to review critical algebra concepts as they help students with homework assignments, as well as for adult learners headed back into the classroom who just need a refresher of the core concepts.
Algebra II Essentials For Dummies
11 October 2010

Algebra II Essentials For Dummies

Algebra II Essentials For Dummies by Mary Jane Sterling For Dummies | 2010 | ISBN: 047061840X | 192 pages | PDF | 14 MB
Passing grades in two years of algebra courses are required for high school graduation. Algebra II Essentials For Dummies covers key ideas from typical second-year Algebra coursework to help students get up to speed. Free of ramp-up material, Algebra II Essentials For Dummies sticks to the point, with content focused on key topics only. It provides discrete explanations of critical concepts taught in a typical Algebra II course, from polynomials, conics, and systems of equations to rational, exponential, and logarithmic functions. This guide is also a perfect reference for parents who need to review critical algebra concepts as they help students with homework assignments, as well as for adult learners headed back into the classroom who just need a refresher of the core concepts.
Intermediate Algebra by R. David Gustafson (5th Edition)
29 May 2013

Intermediate Algebra by R. David Gustafson (5th Edition)

R. David Gustafson, Alan S. Tussy, "Intermediate Algebra (5th Edition)"
English | ISBN: 1111567670, 111198770X | 2012 | PDF | 1040 pages | 20,6 MB

Algebra can be like a foreign language, but INTERMEDIATE ALGEBRA, 5E, gives you the tools and practice you need to fully understand the language of algebra and the "why" behind problem solving. Using Strategy and Why explanations in worked examples and a six-step problem solving strategy, INTERMEDIATE ALGEBRA, 5E, will guide you through an integrated learning process that will expand your reasoning abilities as it teaches you how to read, write, and think mathematically. Feel confident about your skills through additional practice in the text and Enhanced WebAssign. With INTERMEDIATE ALGEBRA, 5E, algebra will make sense because it is not just about the x...it's also about the WHY.