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Books > Science & Mathematics > Mathematics > Algebra

Galois Theory (Paperback, New edition): Emil Artin Galois Theory (Paperback, New edition)
Emil Artin
R154 R128 Discovery Miles 1 280 Save R26 (17%) Ships in 7 - 11 working days

Clearly presented elements of one of the most penetrating concepts in modern mathematics include discussions of fields, vector spaces, homogeneous linear equations, extension fields, polynomials, algebraic elements, as well as sections on solvable groups, permutation groups, solution of equations by radicals, and other concepts. 1966 ed.

All the Math You Missed - (But Need to Know for Graduate School) (Paperback, 2 Revised Edition): Thomas A. Garrity All the Math You Missed - (But Need to Know for Graduate School) (Paperback, 2 Revised Edition)
Thomas A. Garrity
R593 Discovery Miles 5 930 Ships in 12 - 17 working days
Galois Theory and Its Algebraic Background (Paperback, 2 Revised Edition): D.J.H. Garling Galois Theory and Its Algebraic Background (Paperback, 2 Revised Edition)
D.J.H. Garling
R898 Discovery Miles 8 980 Ships in 12 - 17 working days
Algebra - Notes from the Underground (Paperback): Paolo Aluffi Algebra - Notes from the Underground (Paperback)
Paolo Aluffi
R813 Discovery Miles 8 130 Ships in 12 - 17 working days

From rings to modules to groups to fields, this undergraduate introduction to abstract algebra follows an unconventional path. The text emphasizes a modern perspective on the subject, with gentle mentions of the unifying categorical principles underlying the various constructions and the role of universal properties. A key feature is the treatment of modules, including a proof of the classification theorem for finitely generated modules over Euclidean domains. Noetherian modules and some of the language of exact complexes are introduced. In addition, standard topics - such as the Chinese Remainder Theorem, the Gauss Lemma, the Sylow Theorems, simplicity of alternating groups, standard results on field extensions, and the Fundamental Theorem of Galois Theory - are all treated in detail. Students will appreciate the text's conversational style, 400+ exercises, an appendix with complete solutions to around 150 of the main text problems, and an appendix with general background on basic logic and naive set theory.

Abstract Algebra - A Comprehensive Introduction (Hardcover): Frank A. Zorzitto Abstract Algebra - A Comprehensive Introduction (Hardcover)
Frank A. Zorzitto
R1,690 Discovery Miles 16 900 Ships in 12 - 17 working days
Numerical Ranges of Hilbert Space Operators (Hardcover): Pei Yuan Wu Numerical Ranges of Hilbert Space Operators (Hardcover)
Pei Yuan Wu
R2,893 Discovery Miles 28 930 Ships in 12 - 17 working days
Attraction Explained - The science of how we form relationships (Paperback): Viren Swami Attraction Explained - The science of how we form relationships (Paperback)
Viren Swami
R547 Discovery Miles 5 470 Ships in 12 - 17 working days

How much does appearance matter in the formation of romantic relationships? Do nice guys always finish last? Does playing hard-to-get ever work? What really makes for a good chat-up line? When it comes to relationships, there's no shortage of advice from self-help 'experts', pick-up artists, and glossy magazines. But modern-day myths of attraction often have no basis in fact or - worse - are rooted in little more than misogyny. In Attraction Explained, psychologist Viren Swami debunks these myths and draws on cutting-edge research to provide a ground-breaking and evidence-based account of relationship formation. At the core of this book is a very simple idea: there are no 'laws of attraction', no foolproof methods or strategies for getting someone to date you. But this isn't to say that there's nothing to be gained from studying attraction. Based on science rather than self-help cliches, Attraction Explained looks at how factors such as geography, appearance, personality, and similarity affect who we fall for and why.

Linear Algebra for Everyone (Hardcover): Gilbert Strang Linear Algebra for Everyone (Hardcover)
Gilbert Strang
R1,286 Discovery Miles 12 860 Ships in 12 - 17 working days
Surveys in Combinatorics 2021 (Paperback): Konrad K. Dabrowski, Maximilien Gadouleau, Nicholas Georgiou, Matthew Johnson,... Surveys in Combinatorics 2021 (Paperback)
Konrad K. Dabrowski, Maximilien Gadouleau, Nicholas Georgiou, Matthew Johnson, George B. Mertzios, …
R1,467 Discovery Miles 14 670 Ships in 12 - 17 working days

This volume contains nine survey articles based on plenary lectures given at the 28th British Combinatorial Conference, hosted online by Durham University in July 2021. This biennial conference is a well-established international event, attracting speakers from around the world. Written by some of the foremost researchers in the field, these surveys provide up-to-date overviews of several areas of contemporary interest in combinatorics. Topics discussed include maximal subgroups of finite simple groups, Hasse-Weil type theorems and relevant classes of polynomial functions, the partition complex, the graph isomorphism problem, and Borel combinatorics. Representing a snapshot of current developments in combinatorics, this book will be of interest to researchers and graduate students in mathematics and theoretical computer science.

A Course in Algebraic Error-Correcting Codes (Paperback, 1st ed. 2020): Simeon Ball A Course in Algebraic Error-Correcting Codes (Paperback, 1st ed. 2020)
Simeon Ball
R1,030 Discovery Miles 10 300 Ships in 7 - 11 working days

This textbook provides a rigorous mathematical perspective on error-correcting codes, starting with the basics and progressing through to the state-of-the-art. Algebraic, combinatorial, and geometric approaches to coding theory are adopted with the aim of highlighting how coding can have an important real-world impact. Because it carefully balances both theory and applications, this book will be an indispensable resource for readers seeking a timely treatment of error-correcting codes. Early chapters cover fundamental concepts, introducing Shannon's theorem, asymptotically good codes and linear codes. The book then goes on to cover other types of codes including chapters on cyclic codes, maximum distance separable codes, LDPC codes, p-adic codes, amongst others. Those undertaking independent study will appreciate the helpful exercises with selected solutions. A Course in Algebraic Error-Correcting Codes suits an interdisciplinary audience at the Masters level, including students of mathematics, engineering, physics, and computer science. Advanced undergraduates will find this a useful resource as well. An understanding of linear algebra is assumed.

Edexcel Award in Algebra Level 3 Workbook (Paperback): Edexcel Award in Algebra Level 3 Workbook (Paperback)
R254 Discovery Miles 2 540 Ships in 10 - 20 working days

Features: key points guided practice - context-free 'no-stabilisers' practice - context-free 'step into AS' taster questions don't forget' - key reminders context-free, exam-type practice self-assessment record complete practice paper

A Gentle Course in Local Class Field Theory - Local Number Fields, Brauer Groups, Galois Cohomology (Paperback): Pierre Guillot A Gentle Course in Local Class Field Theory - Local Number Fields, Brauer Groups, Galois Cohomology (Paperback)
Pierre Guillot
R759 Discovery Miles 7 590 Ships in 12 - 17 working days

This book offers a self-contained exposition of local class field theory, serving as a second course on Galois theory. It opens with a discussion of several fundamental topics in algebra, such as profinite groups, p-adic fields, semisimple algebras and their modules, and homological algebra with the example of group cohomology. The book culminates with the description of the abelian extensions of local number fields, as well as the celebrated Kronecker-Weber theory, in both the local and global cases. The material will find use across disciplines, including number theory, representation theory, algebraic geometry, and algebraic topology. Written for beginning graduate students and advanced undergraduates, this book can be used in the classroom or for independent study.

Operators and Representation Theory - Canonical Models for Algebras of Operators Arising in Quantum Mechanics (Paperback,... Operators and Representation Theory - Canonical Models for Algebras of Operators Arising in Quantum Mechanics (Paperback, Dover)
Palle E. T. Jorgensen; Foreword by William Klink
R418 R354 Discovery Miles 3 540 Save R64 (15%) Ships in 7 - 11 working days

Algebras of operators arise frequently in the study of representations of Lie groups, both finite-dimensional and infinite-dimensional. This book begins with extensive background material that covers definitions and terminology, operators in Hilbert space, and the imprimitivity theorem.
Advancing to considerations of the algebras of operators in Hilbert space, the heart of the text examines domains of representations, operators in the enveloping algebra, and spectral theory. The final section explores covariant representations and connections, with a particular focus on infinite-dimensional Lie algebras. A helpful Appendix on the integrability of Lie algebras concludes the text.

Abstract Lie Algebras (Paperback): David J Winter Abstract Lie Algebras (Paperback)
David J Winter
R233 R192 Discovery Miles 1 920 Save R41 (18%) Ships in 7 - 11 working days

Solid but concise, this account of Lie algebra emphasizes the theory's simplicity and offers new approaches to major theorems. It also presents a general, extensive treatment of Cartan and related Lie subalgebras over arbitrary fields. Contents include introductory material on prerequisites for modules and basic material on nonassociative algebras. 1972 edition.

Best Books gegradeerde leesreeks: Vlak 1 Boek 2: Gr 2: Leesboek - Huistaal (Afrikaans, Paperback): Best Books Best Books gegradeerde leesreeks: Vlak 1 Boek 2: Gr 2: Leesboek - Huistaal (Afrikaans, Paperback)
Best Books
R77 R66 Discovery Miles 660 Save R11 (14%) Ships in 7 - 11 working days
An Introduction to Linear Algebra (Paperback): L. Mirsky An Introduction to Linear Algebra (Paperback)
L. Mirsky
R472 R396 Discovery Miles 3 960 Save R76 (16%) Ships in 7 - 11 working days

Rigorous, self-contained coverage of determinants, vectors, matrices and linear equations, quadratic forms, more. Elementary, easily readable account with numerous examples and problems at the end of each chapter. "The straight-forward clarity of the writing is admirable."-American Mathematical Monthly. Bibliography.

Behavior Modification - What It Is and How To Do It (Paperback, 10th New edition): Garry Martin, Joseph J. Pear Behavior Modification - What It Is and How To Do It (Paperback, 10th New edition)
Garry Martin, Joseph J. Pear
R1,485 Discovery Miles 14 850 Ships in 12 - 17 working days

Behavior Modification,10/e assumes no specific prior knowledge about psychology or behavior modification on the part of the reader. The authors begin with basic principles and procedures of behavior modification and then provide readers with how-to-skills such as observing and recording. Next, the authors provide advanced discussion and references to acquaint readers with some of the empirical and theoretical underpinnings of the field. Readers will emerge with a thorough understanding of behavior modification in a wide variety of populations and settings.

Modular Theory in Operator Algebras (Hardcover): Serban-Valentin Stratila Modular Theory in Operator Algebras (Hardcover)
Serban-Valentin Stratila
R2,878 Discovery Miles 28 780 Ships in 12 - 17 working days

The first edition of this book appeared in 1981 as a direct continuation of Lectures of von Neumann Algebras (by S.V. Stratila and L. Zsido) and, until 2003, was the only comprehensive monograph on the subject. Addressing the students of mathematics and physics and researchers interested in operator algebras, noncommutative geometry and free probability, this revised edition covers the fundamentals and latest developments in the field of operator algebras. It discusses the group-measure space construction, Krieger factors, infinite tensor products of factors of type I (ITPFI factors) and construction of the type III_1 hyperfinite factor. It also studies the techniques necessary for continuous and discrete decomposition, duality theory for noncommutative groups, discrete decomposition of Connes, and Ocneanu's result on the actions of amenable groups. It contains a detailed consideration of groups of automorphisms and their spectral theory, and the theory of crossed products.

I Will Tell You Algebra Stories You'Ve Never Heard before (Paperback): Z.P. Dienes I Will Tell You Algebra Stories You'Ve Never Heard before (Paperback)
Z.P. Dienes
R335 Discovery Miles 3 350 Ships in 12 - 17 working days

In this work Zoltan Paul Dienes enlivens the world of algebra and examines some of the mysteries of mathematical constructions in a new and exciting fashion. Step by step, equation by equation, diagram by diagram, he strips away all the unintelligible jargon and brings each task and problem to life. If algebra lessons were viewed with dread at school, this is the book to make you reconsider. The informal style, clear diagrams and comprehensive explanations make understanding easy, while innovative games and intriguing puzzles ensure that learning is no longer a chore but a pleasure. Although predominantly aimed at those already equipped with basic algebra skills, beginners and experts alike will find much to interest and test them.

Hopf Algebra - An Introduction (Hardcover): Sorin Dascalescu, Constantin Nastasescu, Serban Raianu Hopf Algebra - An Introduction (Hardcover)
Sorin Dascalescu, Constantin Nastasescu, Serban Raianu
R5,401 Discovery Miles 54 010 Ships in 12 - 17 working days

This study covers comodules, rational modules and bicomodules; cosemisimple, semiperfect and co-Frobenius algebras; bialgebras and Hopf algebras; actions and coactions of Hopf algebras on algebras; finite dimensional Hopf algebras, with the Nicholas-Zoeller and Taft-Wilson theorems and character theory; and more.

Bilinear Algebra - An Introduction to the Algebraic Theory of Quadratic Forms (Hardcover): Kazimierz Szymiczek Bilinear Algebra - An Introduction to the Algebraic Theory of Quadratic Forms (Hardcover)
Kazimierz Szymiczek
R4,204 Discovery Miles 42 040 Ships in 12 - 17 working days

Giving an easily accessible elementary introduction to the algebraic theory of quadratic forms, this book covers both Witt's theory and Pfister's theory of quadratic forms.
Leading topics include the geometry of bilinear spaces, classification of bilinear spaces up to isometry depending on the ground field, formally real fields, Pfister forms, the Witt ring of an arbitrary field (characteristic two included), prime ideals of the Witt ring, Brauer group of a field, Hasse and Witt invariants of quadratic forms, and equivalence of fields with respect to quadratic forms. Problem sections are included at the end of each chapter. There are two appendices: the first gives a treatment of Hasse and Witt invariants in the language of Steinberg symbols, and the second contains some more advanced problems in 10 groups, including the u-invariant, reduced and stable Witt rings, and Witt equivalence of fields.

Logic and Boolean Algebra (Paperback): Bradford Henry Arnold Logic and Boolean Algebra (Paperback)
Bradford Henry Arnold
R260 R217 Discovery Miles 2 170 Save R43 (17%) Ships in 7 - 11 working days

This volume concentrates on the structure of Boolean algebras and rings as developed through simpler algebraic systems. The algebra of logic and set theory appears as applications or illustrations throughout, and numerous problems form an integral part of the text. No prior knowledge of Boolean algebra is necessary.
The text begins with a consideration of some concepts of intuitive logic. Subsequent chapters introduce Boolean functions, basic ordered sets, and a succession of algebraic systems. An examination of the principle of duality leads to a final chapter on applications, including electrical networks and computer design. Suitable for courses in computer design, circuit analysis, and switching circuits, this volume can also serve as a reference for professionals.

Introduction to Modern Algebra and Matrix Theory (Paperback, 2nd ed.): O. Schreier, E Sperner Introduction to Modern Algebra and Matrix Theory (Paperback, 2nd ed.)
O. Schreier, E Sperner; Translated by Martin David, Melvin Hausner
R508 R423 Discovery Miles 4 230 Save R85 (17%) Ships in 7 - 11 working days

This unique text provides students with a single-volume treatment of the basics of calculus and analytic geometry. It reflects the teaching methods and philosophy of Otto Schreier, an influential mathematician and professor. The order of its presentation promotes an intuitive approach to calculus, and it offers a strong emphasis on algebra with minimal prerequisites.
Starting with affine space and linear equations, the text proceeds to considerations of Euclidean space and the theory of determinants, field theory and the fundamental theorem of algebra, elements of group theory, and linear transformations and matrices. Numerous exercises at the end of each section form important supplements to the text.

Introduction to the Theory of Linear Space (Paperback): Georgi E. Shilov Introduction to the Theory of Linear Space (Paperback)
Georgi E. Shilov
R394 R327 Discovery Miles 3 270 Save R67 (17%) Ships in 7 - 11 working days

This introduction to linear algebra and functional analysis offers a clear expository treatment, viewing algebra, geometry, and analysis as parts of an integrated whole rather than separate subjects. All abstract ideas receive a high degree of motivation, and numerous examples illustrate many different fields of mathematics. Abundant problems include hints or answers. 1961 edition.

The Genesis of the Abstract Group Concept - A Contribution to the History of the Origin of Abstract Group Theory (Paperback):... The Genesis of the Abstract Group Concept - A Contribution to the History of the Origin of Abstract Group Theory (Paperback)
Hans Wussing; Edited by Hardy Grant; Translated by Abe Shenitzer
R391 R329 Discovery Miles 3 290 Save R62 (16%) Ships in 7 - 11 working days

This informative survey chronicles the process of abstraction that ultimately led to the axiomatic formulation of the abstract notion of group. Hans Wussing, former Director of the Karl Sudhoff Institute for the History of Medicine and Science at Leipzig University, contradicts the conventional thinking that the roots of the abstract notion of group lie strictly in the theory of algebraic equations. Wussing declares their presence in the geometry and number theory of the late eighteenth and early nineteenth centuries.
This survey ranges from the works of Lagrange via Cauchy, Abel, and Galois to those of Serret and Camille Jordan. It then turns to Cayley, to Felix Klein's Erlangen Program, and to Sophus Lie, concluding with a sketch of the state of group theory circa 1920, when the axiom systems of Webber were formalized and investigated in their own right.
"It is a pleasure to turn to Wussing's book, a sound presentation of history," observed the "Bulletin of the American Mathematical Society, " noting that "Wussing always gives enough detail to let us understand what each author was doing, and the book could almost serve as a sampler of nineteenth-century algebra. The bibliography is extremely good, and the prose is sometimes pleasantly epigrammatic."

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