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Elements of Set Theory
ISBN: 9780122384400 / Angielski / Twarda / 279 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory is necessary part of the background everyone needs for further study of mathematics. It is also possible to study set theory for its own interest--it is a subject with intruiging results anout simple objects. This book starts with material that nobody can do without. There is no end to what can be learned of set theory, but here is a beginning.
This is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory...
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cena:
279,12 |
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Elementary Number Theory with Applications, Student Solutions Manual
ISBN: 9780124211735 / Angielski / Miękka / 704 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a student solutions manual for Elementary Number Theory with Applications 1st edition by Thomas Koshy (2002). Note that the textbook itself is not included in this purchase. From the back cover of the textbook: Modern technology has brought a new dimension to the power of number theory: constant practical use. Once considered the purest of pure mathematics, number theory has become an essential tool in the rapid development of technology in a number of areas, including art, coding theory, cryptology, and computer science. The range of fascinating applications... This is a student solutions manual for Elementary Number Theory with Applications 1st edition by Thomas Koshy (2002). Note that the textbook... |
cena:
168,98 |
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Ring Theory, 83: Student Edition
ISBN: 9780125998406 / Angielski / Twarda / 688 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is an abridged edition of the author's previous two-volume work, Ring Theory, which concentrates on essential material for a general ring theory course while ommitting much of the material intended for ring theory specialists. It has been praised by reviewers: **"As a textbook for graduate students, Ring Theory joins the best....The experts will find several attractive and pleasant features in Ring Theory. The most noteworthy is the inclusion, usually in supplements and appendices, of many useful constructions which are hard to locate outside of the original sources....The audience of...
This is an abridged edition of the author's previous two-volume work, Ring Theory, which concentrates on essential material for a general ring theory ...
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cena:
244,84 |
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Mathsemantics: Making Numbers Talk Sense
ISBN: 9780140234862 / Angielski / Miękka / 320 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Here is a whole new way of looking at math that liberates math phobes from their anxiety, enables business people to do their jobs more effectively, challenges and informs math buffs, and provides educators with the tools to teach math easily and effectively. How can it do all that? By reuniting numbers and meaning, two subjects that should never have been separated in the first place. Entertaining, anecdotal, and immensely practical, this extraordinary book offers a revolutionary way of looking at math as a language, something that we've all heard before but which has never made sense until...
Here is a whole new way of looking at math that liberates math phobes from their anxiety, enables business people to do their jobs more effectively, c...
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cena:
92,48 |
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Multidimensional Continued Fractions
ISBN: 9780198506867 / Angielski / Twarda / 248 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This work offers an overview of various aspects of multidimensional continued fractions, which are here defined through iteration of piecewise fractional linear maps. This includes the algorithms of Jacobi-Perron, Guting, Brun, and Selmer but it also includes continued fractions on simplices which are related to interval exchange maps or the Parry-Daniels map. New classes of subtractive algorithms are also included and the metric properties of these algorithms can be therefore investigated by methods of ergodic theory. The recent connection between multiplicative ergodic theory and...
This work offers an overview of various aspects of multidimensional continued fractions, which are here defined through iteration of piecewise fractio...
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cena:
1259,09 |
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Maximal Orders
ISBN: 9780198526735 / Angielski / Twarda / 432 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a reissue of a classic text, which includes the author's own corrections and provides a very accessible, self contained introduction to the classical theory of orders and maximal orders over a Dedekind ring. It starts wtih a long chapter that provides the algebraic prerequisites for this theory, covering basic material on Dedekind domains, localizations and completions as well as semisimple rings and separable algebras. This is followed by an introduction to the basic tools in studying orders, such as reduced norms and traces, discriminants, and localization of orders. The theory of...
This is a reissue of a classic text, which includes the author's own corrections and provides a very accessible, self contained introduction to the cl...
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cena:
934,29 |
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Groups of Finite Morley Rank
ISBN: 9780198534457 / Angielski / Twarda / 432 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book clearly details the theory of groups of finite Morley rank--groups which arise in model theory and generalize the concept of algebraic groups over algebraically closed fields. Written especially for pure group theorists and graduate students embarking on research on the subject, the book develops the theory from the beginning and contains an algebraic and self-evident rather than a model-theoretic point of view. All necessary model and group theoretical notions are explained at length. Containing nearly all of the known results in the subject, the book offers a plethora of exercises...
This book clearly details the theory of groups of finite Morley rank--groups which arise in model theory and generalize the concept of algebraic group...
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cena:
829,89 |
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Analytic Theory of Polynomials: Critical Points, Zeros and Extremal Properties
ISBN: 9780198534938 / Angielski / Twarda / 760 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text presents easy to understand proofs of some of the most difficult results about polynomials. It encompasses a self-contained account of the properties of polynomials as analytic functions of a special kind.
The zeros of compositions of polynomials are also investigated along with their growth, and some of these considerations lead to the study of analogous questions for trigonometric polynomials and certain transcendental entire functions. The strength of methods are fully explained and demonstrated by means of applications. This text presents easy to understand proofs of some of the most difficult results about polynomials. It encompasses a self-contained account of the p...
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cena:
1235,89 |
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Borel's Methods of Summability: Theory and Application
ISBN: 9780198535850 / Angielski / Twarda / 256 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Borel's methods of summability--transformations of one series of numbers to another--are fundamental to a whole class of sequences to function methods. Conceived at the beginning of the 20th century, they have been increasingly applied to exciting new problems in theoretical physics. Comprehensive and rigorous, this book offers an outstanding overview of the subject. It will be sought after by students and researchers in number theory.
Borel's methods of summability--transformations of one series of numbers to another--are fundamental to a whole class of sequences to function methods...
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cena:
419,25 |
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Topics in Number Theory
ISBN: 9780306428661 / Angielski / Twarda / 191 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book reproduces, with minor changes, the notes prepared for a course given at Brigham Young University during the academic year 1984-1985. It is intended to be an introduction to the theory of numbers. The audience consisted largely of undergraduate students with no more background than high school mathematics. The presentation was thus kept as elementary and self-contained as possible. However, because the discussion was, generally, carried far enough to introduce the audience to some areas of current research, the book should also be useful to graduate students. The only prerequisite...
This book reproduces, with minor changes, the notes prepared for a course given at Brigham Young University during the academic year 1984-1985. It is ...
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cena:
644,07 |
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A History of Pi
ISBN: 9780312381851 / Angielski / Miękka / 200 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The history of pi, says the author, though a small part of the history of mathematics, is nevertheless a mirror of the history of man. Petr Beckmann holds up this mirror, giving the background of the times when pi made progress -- and also when it did not, because science was being stifled by militarism or religious fanaticism. The history of pi, says the author, though a small part of the history of mathematics, is nevertheless a mirror of the history of man. Petr Beckman... |
cena:
69,32 |
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Numbers and Proofs
ISBN: 9780340676530 / Angielski / Miękka / 288 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. 'Numbers and Proofs' presents a gentle introduction to the notion of proof to give the reader an understanding of how to decipher others' proofs as well as construct their own. Useful methods of proof are illustrated in the context of studying problems concerning mainly numbers (real, rational, complex and integers). An indispensable guide to all students of mathematics. Each proof is preceded by a discussion which is intended to show the reader the kind of thoughts they might have before any attempt proof is made. Established proofs which the student is in a better position to follow then...
'Numbers and Proofs' presents a gentle introduction to the notion of proof to give the reader an understanding of how to decipher others' proofs as we...
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cena:
230,14 |
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A Field Guide to Algebra
ISBN: 9780387214283 / Angielski / Twarda / 198 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a small book on algebra where the stress is laid on the structure of ?elds, hence its title. Youwillhearaboutequations, bothpolynomialanddi?erential, andabout the algebraic structure of their solutions. For example, it has been known for centuries how to explicitely solve polynomial equations of degree 2 (Baby- nians, many centuries ago), 3 (Scipione del Ferro, Tartaglia, Cardan, around th 1500a.d.), and even 4 (Cardan, Ferrari, xvi century), using only algebraic operations and radicals (nth roots). However, the case of degree 5 remained unsolved until Abel showed in 1826 that a...
This is a small book on algebra where the stress is laid on the structure of ?elds, hence its title. Youwillhearaboutequations, bothpolynomialanddi?er...
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cena:
221,37 |
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Field Theory
ISBN: 9780387276779 / Angielski / Twarda / 335 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Intended for graduate courses or for independent study, this book presents the basic theory of fields. The first part begins with a discussion of polynomials over a ring, the division algorithm, irreducibility, field extensions, and embeddings. The second part is devoted to Galois theory. The third part of the book treats the theory of binomials. The book concludes with a chapter on families of binomials - the Kummer theory. This new edition has been completely rewritten in order to improve the pedagogy and to make the text more accessible to graduate students. The exercises have... Intended for graduate courses or for independent study, this book presents the basic theory of fields. The first part begins with a discussion of p... |
cena:
342,14 |
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Number Theory: Tradition and Modernization
ISBN: 9780387304144 / Angielski / Twarda / 234 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Number Theory: Tradition and Modernization is a collection of survey and research papers on various topics in number theory. Though the topics and descriptive details appear varied, they are unified by two underlying principles: first, making everything readable as a book, and second, making a smooth transition from traditional approaches to modern ones by providing a rich array of examples. The chapters are presented in quite different in depth and cover a variety of descriptive details, but the underlying editorial principle enables the reader to have a unified glimpse of the... Number Theory: Tradition and Modernization is a collection of survey and research papers on various topics in number theory. Though the topics and ... |
cena:
603,81 |
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Algebra: Volume II: Fields with Structure, Algebras and Advanced Topics
ISBN: 9780387724874 / Angielski / Miękka / 340 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. From Math Reviews: This is Volume II of a two-volume introductory text in classical algebra. The text moves carefully with many details so that readers with some basic knowledge of algebra can read it without difficulty. The book can be recommended either as a textbook for some particular algebraic topic or as a reference book for consultations in a selected fundamental branch of algebra. The book contains a wealth of material. Amongst the topics covered in Volume II the reader can find: the theory of ordered fields (e.g., with reformulation of the fundamental theorem of algebra in terms... From Math Reviews: This is Volume II of a two-volume introductory text in classical algebra. The text moves carefully with many details so that rea... |
cena:
241,50 |
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Complex Multiplication
ISBN: 9780387907864 / Angielski / Twarda / 184 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The small book by Shimura-Taniyama on the subject of complex multi is a classic. It gives the results obtained by them (and some by Weil) plication in the higher dimensional case, generalizing in a non-trivial way the method of Deuring for elliptic curves, by reduction mod p. Partly through the work of Shimura himself (cf. Sh 1] Sh 2], and Sh 5]), and some others (Serre, Tate, Kubota, Ribet, Deligne etc.) it is possible today to make a more snappy and extensive presentation of the fundamental results than was possible in 1961. Several persons have found my lecture notes on this subject...
The small book by Shimura-Taniyama on the subject of complex multi is a classic. It gives the results obtained by them (and some by Weil) plication in...
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cena:
523,30 |
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Fundamentals of Diophantine Geometry
ISBN: 9780387908373 / Angielski / Twarda / 370 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Diophantine problems represent some of the strongest aesthetic attractions to algebraic geometry. They consist in giving criteria for the existence of solutions of algebraic equations in rings and fields, and eventually for the number of such solutions. The fundamental ring of interest is the ring of ordinary integers Z, and the fundamental field of interest is the field Q of rational numbers. One discovers rapidly that to have all the technical freedom needed in handling general problems, one must consider rings and fields of finite type over the integers and rationals. Furthermore, one is...
Diophantine problems represent some of the strongest aesthetic attractions to algebraic geometry. They consist in giving criteria for the existence of...
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cena:
442,79 |
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Abelian Varieties
ISBN: 9780387908755 / Angielski / Miękka / 256 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A belian Varieties has been out of print for a while. Since it was written, the subject has made some great advances, and Mumford's book giving a scheme theoretic treatment has appeared (D. Mum ford, Abelian Varieties, Tata Lecture Notes, Oxford University Press, London, 1970). However, some topics covered in my book were not covered in Mumford's; for instance, the construction of the Picard variety, the Albanese variety, some formulas concern ing numerical questions, the reciprocity law for correspondences and its application to Kummer theory, Chow's theory for the K/k-trace and image, and...
A belian Varieties has been out of print for a while. Since it was written, the subject has made some great advances, and Mumford's book giving a sche...
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cena:
201,24 |
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Elements of Algebra: Geometry, Numbers, Equations
ISBN: 9780387942902 / Angielski / Twarda / 184 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Algebra is abstract mathematics - let us make no bones about it - yet it is also applied mathematics in its best and purest form. It is not abstraction for its own sake, but abstraction for the sake of efficiency, power and insight. Algebra emerged from the struggle to solve concrete, physical problems in geometry, and succeeded after 2000 years of failure by other forms of mathematics. It did this by exposing the mathematical structure of geometry, and by providing the tools to analyse it. This is typical of the way algebra is applied; it is the best and purest form of application because it...
Algebra is abstract mathematics - let us make no bones about it - yet it is also applied mathematics in its best and purest form. It is not abstractio...
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cena:
209,14 |
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