Title:
Algebra and trigonometry, a skills approach / J. Louis Nanney and John L. Cable.
Author:
Nanney, J. Louis.
Cable, John Laurence, 1934- joint author.
General Notes:
Combined ed. of 1980 lecture versions of the authors' College algebra, a skills approach and the authors' Trigonometry, a skills approach., Combined ed. of 1980 lecture versions of the authors' College algebra, a skills approach and the authors' Trigonometry, a skills approach.
Includes index., Combined ed. of 1980 lecture versions of the authors' College algebra, a skills approach and the authors' Trigonometry, a skills approach.
Publisher:
Allyn and Bacon,
Publication Place:
Boston :
ISBN:
0205069177 :
Subject:
Algebra.
Trigonometry.
Physical Description:
xiv, 465, A44, I4 p. : ill. ;
Publication Date:
[1980]
Title:
Algebra [by] P. M. Cohn.
Author:
Cohn, P. M. (Paul Moritz)
General Notes:
Bibliography: v. 1, p. [312]; v. 2, p. [468]-471.
Publisher:
Wiley
Publication Place:
London, New York,
ISBN:
0471164305
0471164313 (pbk.)
Subject:
Algebra.
Physical Description:
2 v.
Publication Date:
[1974-77]
Title:
Algebra for college students.
Author:
Lial, Margaret L.
Hornsby, E. John.
McGinnis, Terry.
General Notes:
Includes bibliographical references and indexes.
Publisher:
Pearson Addison-Wesley,
Publication Place:
Boston :
ISBN:
0321168305 (alk. paper)
Subject:
Algebra.
Edition:
5th ed. / Margaret L. Lial, John Hornsby, Terry McGinnis.
Physical Description:
xxviii, 951, 61, 9, 14 p. : ill. (some col.) ;
Publication Date:
c2004.
Title:
Algebra for Cryptologists / by Alko R. Meijer.
Springer Undergraduate Texts in Mathematics and Technology,
Springer Undergraduate Texts in Mathematics and Technology,
Author:
Meijer, Alko R. author.
General Notes:
Prerequisites and Notation -- Basic Properties of the Integers -- Groups, Rings and Ideals -- Applications to Public Key Cryptography -- Fields -- Properties of Finite Fields -- Applications to Stream Ciphers -- Boolean Functions -- Applications to Block Ciphers -- Number Theory in Public Key Cryptography -- Where do we go from here? -- Probability.
This textbook provides an introduction to the mathematics on which modern cryptology is based. It covers not only public key cryptography, the glamorous component of modern cryptology, but also pays considerable attention to secret key cryptography, its workhorse in practice. Modern cryptology has been described as the science of the integrity of information, covering all aspects like confidentiality, authenticity and non-repudiation and also including the protocols required for achieving these aims. In both theory and practice it requires notions and constructions from three major disciplines: computer science, electronic engineering and mathematics. Within mathematics, group theory, the theory of finite fields, and elementary number theory as well as some topics not normally covered in courses in algebra, such as the theory of Boolean functions and Shannon theory, are involved. Although essentially self-contained, a degree of mathematical maturity on the part of the reader is assumed, corresponding to his or her background in computer science or engineering. Algebra for Cryptologists is a textbook for an introductory course in cryptography or an upper undergraduate course in algebra, or for self-study in preparation for postgraduate study in cryptology.
Description based on publisher-supplied MARC data.
Publisher:
Springer International Publishing : Imprint: Springer,
Publication Place:
Cham :
ISBN:
9783319303963
Subject:
Algebra.
Data structures (Computer Science).
Computer science-Mathematics.
Algebra.
Data Structures and Information Theory.
Discrete Mathematics in Computer Science.
Series:
Springer Undergraduate Texts in Mathematics and Technology,
Springer Undergraduate Texts in Mathematics and Technology,
Edition:
1st ed. 2016.
Contents:
Prerequisites and Notation -- Basic Properties of the Integers -- Groups, Rings and Ideals -- Applications to Public Key Cryptography -- Fields -- Properties of Finite Fields -- Applications to Stream Ciphers -- Boolean Functions -- Applications to Block Ciphers -- Number Theory in Public Key Cryptography -- Where do we go from here? -- Probability.
Physical Description:
1 online resource (XIV, 301 pages 6 illustrations)
Location/SubLocation:
MU /MU_MAIN
Publication Date:
2016.
Title:
Algebra for Cryptologists by Alko R. Meijer.
Springer Undergraduate Texts in Mathematics and Technology,
Springer Undergraduate Texts in Mathematics and Technology,
Author:
Meijer, Alko R. author.
SpringerLink (Online service)
General Notes:
Prerequisites and Notation -- Basic Properties of the Integers -- Groups, Rings and Ideals -- Applications to Public Key Cryptography -- Fields -- Properties of Finite Fields -- Applications to Stream Ciphers -- Boolean Functions -- Applications to Block Ciphers -- Number Theory in Public Key Cryptography -- Where do we go from here? -- Probability. .
This textbook provides an introduction to the mathematics on which modern cryptology is based. It covers not only public key cryptography, the glamorous component of modern cryptology, but also pays considerable attention to secret key cryptography, its workhorse in practice. Modern cryptology has been described as the science of the integrity of information, covering all aspects like confidentiality, authenticity and non-repudiation and also including the protocols required for achieving these aims. In both theory and practice it requires notions and constructions from three major disciplines: computer science, electronic engineering and mathematics. Within mathematics, group theory, the theory of finite fields, and elementary number theory as well as some topics not normally covered in courses in algebra, such as the theory of Boolean functions and Shannon theory, are involved. Although essentially self-contained, a degree of mathematical maturity on the part of the reader is assumed, corresponding to his or her background in computer science or engineering. Algebra for Cryptologists is a textbook for an introductory course in cryptography or an upper undergraduate course in algebra, or for self-study in preparation for postgraduate study in cryptology.
Publisher:
Springer International Publishing : Imprint: Springer,
Publication Place:
Cham :
ISBN:
9783319303963
Subject:
Mathematics.
Data structures (Computer Science).
Computer science -- Mathematics.
Algebra.
Mathematics.
Algebra.
Data Structures, Cryptology and Information Theory.
Discrete Mathematics in Computer Science.
Series:
Springer Undergraduate Texts in Mathematics and Technology,
Springer Undergraduate Texts in Mathematics and Technology,
Contents:
Prerequisites and Notation -- Basic Properties of the Integers -- Groups, Rings and Ideals -- Applications to Public Key Cryptography -- Fields -- Properties of Finite Fields -- Applications to Stream Ciphers -- Boolean Functions -- Applications to Block Ciphers -- Number Theory in Public Key Cryptography -- Where do we go from here? -- Probability. .
Physical Description:
XIV, 301 p. 6 illus. online resource.
Electronic Location:
http://dx.doi.org/10.1007/978-3-319-30396-3
Publication Date:
2016.
Title:
Algebra for Symbolic Computation by Antonio Machì.
UNITEXT,
UNITEXT,
Author:
Machì, Antonio. author.
SpringerLink (Online service)
General Notes:
The Euclidean algorithm, the Chinese remainder theorem and interpolation -- p-adic series expansion -- The resultant -- Factorisation of polynomials -- The discrete Fourier transform.
This book deals with several topics in algebra useful for computer science applications and the symbolic treatment of algebraic problems, pointing out and discussing their algorithmic nature. The topics covered range from classical results such as the Euclidean algorithm, the Chinese remainder theorem, and polynomial interpolation, to p-adic expansions of rational and algebraic numbers and rational functions, to reach the problem of the polynomial factorisation, especially via Berlekamp’s method, and the discrete Fourier transform. Basic algebra concepts are revised in a form suited for implementation on a computer algebra system.
Publisher:
Springer Milan : Imprint: Springer,
Publication Place:
Milano :
ISBN:
9788847023970
Subject:
Mathematics.
Algebra.
Mathematics.
Algebra.
Series:
UNITEXT,
UNITEXT,
Contents:
The Euclidean algorithm, the Chinese remainder theorem and interpolation -- p-adic series expansion -- The resultant -- Factorisation of polynomials -- The discrete Fourier transform.
Physical Description:
VIII, 180 p. online resource.
Electronic Location:
http://dx.doi.org/10.1007/978-88-470-2397-0
Publication Date:
2012.
Title:
Algebra, Geometry, and Physics in the 21st Century Kontsevich Festschrift / edited by Denis Auroux, Ludmil Katzarkov, Tony Pantev, Yan Soibelman, Yuri Tschinkel.
Progress in Mathematics,
Progress in mathematics,
Author:
Auroux, Denis. editor.
Katzarkov, Ludmil. editor.
Pantev, Tony. editor.
Soibelman, Yan. editor.
Tschinkel, Yuri. editor.
SpringerLink (Online service)
General Notes:
Adiabatic limits of co-associative Kovalev-Lefschetz fibrations -- Ideal webs, moduli spaces of local systems, and 3d Calabi-Yau categories -- Spectral sequences for cyclic homology -- Derived varieties of complexes and Kostant's theorem for gl(mjn) -- Higher symmetry and gapped phases of gauge theories -- Constructing Buildings and Harmonic Maps -- Cohomological Hall algebras, semicanonical bases and Donaldson-Thomas invariants for 2-dimensional Calabi-Yau categories -- Fukaya A1-structures associated to Lefschetz fibrations. II.
This volume is a tribute to Maxim Kontsevich, one of the most original and influential mathematicians of our time. Maxim’s vision has inspired major developments in many areas of mathematics, ranging all the way from probability theory to motives over finite fields, and has brought forth a paradigm shift at the interface of modern geometry and mathematical physics. Many of his papers have opened completely new directions of research and led to the solutions of many classical problems. This book collects papers by leading experts currently engaged in research on topics close to Maxim’s heart. Contributors: S. Donaldson A. Goncharov D. Kaledin M. Kapranov A. Kapustin L. Katzarkov A. Noll P. Pandit S. Pimenov J. Ren P. Seidel C. Simpson Y. Soibelman R. Thorngren.
Publisher:
Springer International Publishing : Imprint: Birkhäuser,
Publication Place:
Cham :
ISBN:
9783319599397
Subject:
Mathematics.
Algebraic geometry.
Category theory (Mathematics).
Homological algebra.
Differential geometry.
Mathematics.
Algebraic Geometry.
Differential Geometry.
Category Theory, Homological Algebra.
Series:
Progress in Mathematics, 324
Progress in mathematics, 324
Contents:
Adiabatic limits of co-associative Kovalev-Lefschetz fibrations -- Ideal webs, moduli spaces of local systems, and 3d Calabi-Yau categories -- Spectral sequences for cyclic homology -- Derived varieties of complexes and Kostant's theorem for gl(mjn) -- Higher symmetry and gapped phases of gauge theories -- Constructing Buildings and Harmonic Maps -- Cohomological Hall algebras, semicanonical bases and Donaldson-Thomas invariants for 2-dimensional Calabi-Yau categories -- Fukaya A1-structures associated to Lefschetz fibrations. II.
Physical Description:
VII, 364 p. 65 illus., 40 illus. in color. online resource.
Electronic Location:
http://dx.doi.org/10.1007/978-3-319-59939-7
Publication Date:
2017.
Title:
Algebra I for dummies / Mary Jane Sterling. Algebra one for dummies
Algebra one for dummies Algebra one for dummies
--For dummies Algebra one for dummies
Author:
Sterling, Mary Jane.
General Notes:
Includes index., Includes index.
Publisher:
Wiley Pub., Inc.,
Publication Place:
Hoboken, NJ :
ISBN:
9780470559642 (pbk. : alk. paper)
Subject:
Algebra.
Series:
--For dummies
Edition:
2nd ed.
Contents:
Starting off with the basics. Assembling your tools ; Assigning signs : positive and negative numbers ; Figuring out fractions and dealing with decimals ; Exploring exponents and raising radicals ; Doing operations in order and checking your answers -- Figuring out factoring. Working with numbers in their prime ; Sharing the fun : distribution ; Getting to first base with factoring ; Getting the second degree ; Factoring special cases -- Working equations. Establishing ground rules for solving equations ; Solving linear equations ; Taking a crack at quadratic equations ; Distinguishing equations with distinctive powers ; Rectifying inequalities -- Applying algebra. Taking measure with formulas ; Formulating for profit and pleasure ; Sorting out story problems ; Going visual : graphing ; Lining up graphs of lines -- The part of tens. The ten best ways to void pitfalls ; The ten most famous equations.
Physical Description:
xiv, 368 p. : ill. ;
Publication Date:
2010.
Title:
Algebra I Textbook for Students of Mathematics / by Alexey L. Gorodentsev.
Author:
Gorodentsev, Alexey L. author.
SpringerLink (Online service)
General Notes:
Notations and Abbreviations -- 1 Set-Theoretic and Combinatorial Background -- 2 Integers and Residues -- 3 Polynomials and Simple Field Extensions -- 4 Elementary Functions and Power Series Expansions -- 5 Ideals, Quotient Rings, and Factorization -- 6 Vectors -- 7 Duality -- 8 Matrices -- 9 Determinants -- 10 Euclidean Spaces -- 11 Projective Spaces -- 12 Groups -- 13 Description of Groups -- 14 Modules over a Principal Ideal Domain -- 15 Linear Operators -- 16 Bilinear Forms -- 17 Quadratic Forms and Quadrics -- 18 Real Versus Complex -- 19 Hermitian Spaces -- 20 Quaternions and Spinors -- References -- Hints to Selected Exercises -- Index.
This book is the first volume of an intensive “Russian-style” two-year undergraduate course in abstract algebra, and introduces readers to the basic algebraic structures – fields, rings, modules, algebras, groups, and categories – and explains the main principles of and methods for working with them. The course covers substantial areas of advanced combinatorics, geometry, linear and multilinear algebra, representation theory, category theory, commutative algebra, Galois theory, and algebraic geometry – topics that are often overlooked in standard undergraduate courses. This textbook is based on courses the author has conducted at the Independent University of Moscow and at the Faculty of Mathematics in the Higher School of Economics. The main content is complemented by a wealth of exercises for class discussion, some of which include comments and hints, as well as problems for independent study.
Publisher:
Springer International Publishing : Imprint: Springer,
Publication Place:
Cham :
ISBN:
9783319452852
Subject:
Mathematics.
Algebra.
Mathematics.
Algebra.
Contents:
Notations and Abbreviations -- 1 Set-Theoretic and Combinatorial Background -- 2 Integers and Residues -- 3 Polynomials and Simple Field Extensions -- 4 Elementary Functions and Power Series Expansions -- 5 Ideals, Quotient Rings, and Factorization -- 6 Vectors -- 7 Duality -- 8 Matrices -- 9 Determinants -- 10 Euclidean Spaces -- 11 Projective Spaces -- 12 Groups -- 13 Description of Groups -- 14 Modules over a Principal Ideal Domain -- 15 Linear Operators -- 16 Bilinear Forms -- 17 Quadratic Forms and Quadrics -- 18 Real Versus Complex -- 19 Hermitian Spaces -- 20 Quaternions and Spinors -- References -- Hints to Selected Exercises -- Index.
Physical Description:
XX, 564 p. 79 illus., 42 illus. in color. online resource.
Electronic Location:
http://dx.doi.org/10.1007/978-3-319-45285-2
Publication Date:
2016.
Title:
Algebra II Textbook for Students of Mathematics / by Alexey L. Gorodentsev.
Author:
Gorodentsev, Alexey L. author.
SpringerLink (Online service)
General Notes:
§1Tensor Products -- §2 Tensor Algebras -- §3 Symmetric Functions -- §4 Calculus of Arrays, Tableaux, and Diagrams -- §5 Basic Notions of Representation Theory -- §6 Representations of Finite Groups in Greater Detail -- §7 Representations of Symmetric Groups -- §8 sl_2-Modules -- §9 Categories and Functors -- §10 Extensions of Commutative Rings -- §11 Affine Algebraic Geometry -- §12 Algebraic Manifolds -- §13 Algebraic Field Extensions -- §14 Examples of Galois Groups -- References -- Hints to Some Exercises -- Index.
This book is the second volume of an intensive “Russian-style” two-year undergraduate course in abstract algebra, and introduces readers to the basic algebraic structures – fields, rings, modules, algebras, groups, and categories – and explains the main principles of and methods for working with them. The course covers substantial areas of advanced combinatorics, geometry, linear and multilinear algebra, representation theory, category theory, commutative algebra, Galois theory, and algebraic geometry – topics that are often overlooked in standard undergraduate courses. This textbook is based on courses the author has conducted at the Independent University of Moscow and at the Faculty of Mathematics in the Higher School of Economics. The main content is complemented by a wealth of exercises for class discussion, some of which include comments and hints, as well as problems for independent study.
Publisher:
Springer International Publishing : Imprint: Springer,
Publication Place:
Cham :
ISBN:
9783319508535
Subject:
Mathematics.
Algebra.
Mathematics.
Algebra.
Contents:
§1Tensor Products -- §2 Tensor Algebras -- §3 Symmetric Functions -- §4 Calculus of Arrays, Tableaux, and Diagrams -- §5 Basic Notions of Representation Theory -- §6 Representations of Finite Groups in Greater Detail -- §7 Representations of Symmetric Groups -- §8 sl_2-Modules -- §9 Categories and Functors -- §10 Extensions of Commutative Rings -- §11 Affine Algebraic Geometry -- §12 Algebraic Manifolds -- §13 Algebraic Field Extensions -- §14 Examples of Galois Groups -- References -- Hints to Some Exercises -- Index.
Physical Description:
XV, 370 p. 155 illus., 2 illus. in color. online resource.
Electronic Location:
http://dx.doi.org/10.1007/978-3-319-50853-5
Publication Date:
2017.
Title:
Algebra in easy steps / Edwin I. Stein.
Author:
Stein, Edwin I.
General Notes:
Includes index., Includes index.
Publisher:
American Book Co.,
Publication Place:
New York :
ISBN:
0278479324
9780278479326
Subject:
Algebra.
Algebra.
Physical Description:
vi, 302, 74S pages : illustrations ;
Publication Date:
�1975.
Title:
Einfèuhrung in die Modelltheorie. English
Introduction to model theory / Philipp Rothmaler.
Algebra, logic, and applications ;
Author:
Rothmaler, Philipp.
General Notes:
Includes bibliographical references (p. 281-291) and index.
I, Basics. Structures -- Languages -- Semantics -- II, Beginnings of model theory. The finiteness theorem -- First consequences of the finiteness theorem -- Malcev's applications to group theory -- Some theory of orderings -- III, Basic properties of theories. Elementary maps -- Elimination -- Chains -- IV, Theories and types. Types -- Thick and thin models -- Countable complete theories -- V, Two application. Strongly minimal theorites -- Z (abelian group of integers).
Publisher:
Gordon and Breach Science Publishers,
Publication Place:
Amsterdam :
ISBN:
9056992872 (hardcover)
9056993135 (pbk.)
Subject:
Model theory.
Series:
Algebra, logic, and applications ; v. 15
Contents:
Structures -- Languages -- Semantics -- The finiteness theorem -- First consequences of the finiteness theorem -- Malcev's applications to group theory -- Some theory of orderings -- Elementary maps -- Elimination -- Chains -- Types -- Thick and thin models -- Countable complete theories -- Strongly minimal theorites -- Z (abelian group of integers).
Physical Description:
xvi, 305 p. ;
Formatted Contents Note:
I, Basics. II, Beginnings of model theory. III, Basic properties of theories. IV, Theories and types. V, Two application.
Electronic Location:
http://www.loc.gov/catdir/toc/fy032/2002421779.html
Publication Date:
c2000.
Title:
Algebra 1 : groups, rings, fields and arithmetic / Ramji Lal. Algebra One
Algebra One Algebra One
Infosys Science Foundation Series Algebra One
Infosys Science Foundation Series in Mathematical Sciences Algebra One
Infosys Science Foundation Series. Algebra One
Author:
Lal, Ramji, author.
General Notes:
Includes bibliographical references and index.
Chapter 1. Language of mathematics 1 (Logic) -- Chapter 2. Language Of Mathematics 2 (Set Theory) -- Chapter 3. Number System -- Chapter 4. Group Theory -- Chapter 5. Fundamental Theorems -- Chapter 6. Permutation groups and Classical Groups -- Chapter 7. Elementary Theory of Rings and Fields -- Chapter 8. Number Theory 2 -- Chapter 9. Structure theory of groups -- Chapter 10. Structure theory continued -- Chapter 11. Arithmetic in Rings.
This is the first in a series of three volumes dealing with important topics in algebra. It offers an introduction to the foundations of mathematics together with the fundamental algebraic structures, namely groups, rings, fields, and arithmetic. Intended as a text for undergraduate and graduate students of mathematics, it discusses all major topics in algebra with numerous motivating illustrations and exercises to enable readers to acquire a good understanding of the basic algebraic structures, which they can then use to find the exact or the most realistic solutions to their problems.
Publisher:
Springer,
Publication Place:
Singapore :
ISBN:
9789811042522
9811042527
ISSN:
23636149
Subject:
Group theory.
Rings (Algebra)
Algebraic fields.
Algebraic fields.
Group theory.
Rings (Algebra)
Series:
Infosys Science Foundation Series
Infosys Science Foundation Series in Mathematical Sciences
Infosys Science Foundation Series.
Contents:
Chapter 1. Language of mathematics 1 (Logic) -- Chapter 2. Language Of Mathematics 2 (Set Theory) -- Chapter 3. Number System -- Chapter 4. Group Theory -- Chapter 5. Fundamental Theorems -- Chapter 6. Permutation groups and Classical Groups -- Chapter 7. Elementary Theory of Rings and Fields -- Chapter 8. Number Theory 2 -- Chapter 9. Structure theory of groups -- Chapter 10. Structure theory continued -- Chapter 11. Arithmetic in Rings.
Physical Description:
xvii, 433 pages : illustrations ;
Publication Date:
[2017]
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