This innovative undergraduate textbook approaches number theory through the lens of abstract algebra. Written in an engaging and whimsical style, this text will introduce students to rings, groups, fields, and other algebraic structure...Daugiau...
(Išleidimo metai: 15-Sep-2025, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781071646373)
This book, which assumes only a precalculus background, aids students in their transition to higher-level mathematics. The authors begin by providing a great deal of guidance on how to approach definitions, examples, and theorems in mathematics and...Daugiau...
This innovative undergraduate textbook approaches number theory through the lens of abstract algebra. Written in an engaging and whimsical style, this text will introduce students to rings, groups, fields, and other algebraic structures as they...Daugiau...
This textbook originates from a course taught by the late Ken Ireland in 1972. Designed to explore the theoretical underpinnings of undergraduate mathematics, the course focused on interrelationships and hands-on experience. Readers of this textbo...Daugiau...
This innovative undergraduate textbook approaches number theory through the lens of abstract algebra. Written in an engaging and whimsical style, this text will introduce students to rings, groups, fields, and other algebraic structure...Daugiau...
Right triangles are at the heart of this textbooks vibrant new approach to elementary number theory. Inspired by the familiar Pythagorean theorem, the author invites the reader to ask natural arithmetic questions about right triangles, then proce...Daugiau...
This textbook provides a unified and concise exploration of undergraduate mathematics by approaching the subject through its history. Readers will discover the rich tapestry of ideas behind familiar topics from the undergraduate curriculum, such a...Daugiau...
Right triangles are at the heart of this textbooks vibrant new approach to elementary number theory. Inspired by the familiar Pythagorean theorem, the author invites the reader to ask natural arithmetic questions about right triangles, then proce...Daugiau...
Ši knyga nebeleidžiama, tačiau mes Jums pranešime naudoto egzemplioriaus kainą
Designed for an undergraduate course or for independent study, this textbook presents sophisticated mathematical ideas in an elementary and friendly fashion. It features techniques to solve proofs as well as exercises of varying difficulty....Daugiau...
Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman
Serija: Undergraduate Texts in Mathematics
(Išleidimo metai: 10-Sep-2016, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781493939381)
This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for...Daugiau...
(Išleidimo metai: 14-Nov-2015, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781493929689)
IntegerPoint Enumeration in Polyhedra. This richly illustrated textbook explores the amazing interaction between combinatorics, geometry, number theory, and analysis which arises in the interplay between polyhedra and lattices. Highly acce...Daugiau...
(Išleidimo metai: 23-Aug-2016, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781493951468)
This updated and revised second edition is designed to help students advance from basic calculus to higher-level linear and abstract algebra and number theory. It introduces an array of fundamental structures and shows how to balance intuition and ri...Daugiau...
(Išleidimo metai: 23-Aug-2016, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781493938582)
This richly illustrated textbook explores the amazing interaction between combinatorics, geometry, number theory, and analysis which arises in the interplay between polyhedra and lattices. Highly accessible to advanced undergraduates, as well as b...Daugiau...
The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory. This volume stresses this interplay as it develops the basic theory, thereby providing an opportunity for advanced undergraduates to appreci...Daugiau...
The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory. This volume stresses this interplay as it develops the basic theory, thereby providing an opportunity for advanced undergraduates to appreci...Daugiau...
Jeffrey Hoffstein, Jill Pipher, Joseph H. Silverman
Serija: Undergraduate Texts in Mathematics
(Išleidimo metai: 11-Sep-2014, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781493917105)
This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for...Daugiau...
(Išleidimo metai: 01-Aug-2013, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781461429159)
This book not only introduces proof techniques and other foundational principles of higher mathematics, but also helps students develop the necessary abilities to read, write and prove using mathematical definitions, examples and theorems....Daugiau...
(Išleidimo metai: 13-Oct-2012, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781461426325)
From a review of the second edition:This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equatio...Daugiau...
(Išleidimo metai: 14-Dec-2011, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781441929624)
Previous edition sold 2000 copies in 3 years; Explores the subtle connections between Number Theory, Classical Geometry and Modern Algebra; Over 180 illustrations, as well as text and Maple files, are available via the web facilitate understanding: h...Daugiau...
(Išleidimo metai: 01-Nov-2012, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781461265450)
Number theory, the branch of mathematics that studies the properties of the integers, is a repository of interesting and quite varied problems, sometimes impossibly difficult ones. In this book, the authors have gathered together a collection of p...Daugiau...
(Išleidimo metai: 28-Sep-2012, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781461268673)
A beautiful and relatively elementary account of a part of mathematics where three main fields - algebra, analysis and geometry - meet. The book provides a broad view of these subjects at the level of calculus, without being a calculus book. Its root...Daugiau...
(Išleidimo metai: 27-Sep-2012, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781461273455)
In a relaxed, informal style, this book conveys the joy of mathematical discovery and insight, helping readers to see mathematics as an accessible world of thought. Explores spirals, fractals, Fibonacci numbers, Pascals Triangle and paper folding, a...Daugiau...
(Išleidimo metai: 29-Jun-2011, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781441994783)
This book not only introduces proof techniques and other foundational principles of higher mathematics, but also helps students develop the necessary abilities to read, write and prove using mathematical definitions, examples and theorems....Daugiau...
(Išleidimo metai: 21-Jan-2012, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781468404982)
Cryptography is a key technology in electronic security systems. Modern cryptograpic techniques have many uses, such as to digitally sign documents, for access control, to implement electronic money, and for copyright protection. Because of these imp...Daugiau...
(Išleidimo metai: 03-Dec-2010, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781441928214)
Tracing the story from its earliest sources, this book celebrates the lives and work of pioneers of modern mathematics: Fermat, Euler, Lagrange, Legendre, Gauss, Fourier, Dirichlet and more. Includes an English translation of Gausss 1838 letter to D...Daugiau...
(Išleidimo metai: 03-Dec-2010, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781441930668)
Solutions of equations in integers is the central problem of number theory and is the focus of this book. The amount of material is suitable for a one-semester course. The author has tried to avoid the ad hoc proofs in favor of unifying ideas that...Daugiau...
(Išleidimo metai: 01-Dec-2010, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781441928054)
This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory...Daugiau...
(Išleidimo metai: 01-Dec-2010, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781441928399)
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 f...Daugiau...
(Išleidimo metai: 01-Dec-2010, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781441926746)
An Introduction to Mathematical Cryptography provides an introduction to public key cryptography and underlying mathematics that is required for the subject. Each of the eight chapters expands on a specific area of mathematical cryptography and provi...Daugiau...
(Išleidimo metai: 29-Nov-2010, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781441919472)
This book has a nonstandard choice of topics, including material on differential galois groups and proofs of the transcendence of e and pi. The author uses a conversational tone and has included a selection of stamps to accompany the text....Daugiau...
(Išleidimo metai: 23-Nov-2010, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781441921192)
This much-anticipated textbook illuminates the field of discrete mathematics with examples, theory, and applications of the discrete volume of a polytope. It weaves a unifying thread through basic yet deep ideas in discrete geometry, combinatorics, a...Daugiau...
(Išleidimo metai: 19-Nov-2010, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781441927521)
Classical number theory and elliptic curves are examined in this textbook, which moves on from elementary topics such as primes, continued fractions, and quadratic forms, to elliptic curves and their applications to algorithmic and number theory p...Daugiau...
(Išleidimo metai: 26-Sep-2011, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781461288718)
About binomial theorems Im teeming with a lot of news, With many cheerful facts about the square on the hypotenuse. - William S. Gilbert (The Pirates of Penzance, Act I) The question of divisibility is arguably the oldest problem in mathematics....Daugiau...
(Išleidimo metai: 02-Aug-2010, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781441960528)
From a review of the second edition:This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equatio...Daugiau...
(Išleidimo metai: 03-Dec-2008, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9780387855240)
Explains classical elementary number theory and elliptic curves. This book discusses elementary topics such as primes, factorization, continued fractions, and quadratic forms, in the context of cryptography and computation. It details elliptic curves...Daugiau...
(Išleidimo metai: 12-Aug-2008, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9780387779935)
Ši knyga nebeleidžiama, tačiau mes Jums pranešime naudoto egzemplioriaus kainą
An Introduction to Mathematical Cryptography provides an introduction to public key cryptography and underlying mathematics that is required for the subject. Each of the eight chapters expands on a specific area of mathematical cryptograp...Daugiau...
Lįszló Lovįsz, József Pelikįn, Katalin Vesztergombi
Serija: Undergraduate Texts in Mathematics
(Išleidimo metai: 27-Jan-2003, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9780387955841)
This book discusses a number of selected results and methods, mostly from the areas of combinatorics and graph theory. The authors develop most topics to the extent that they can describe the discrete mathematics behind an important application of ma...Daugiau...
Lįszló Lovįsz, József Pelikįn, Katalin Vesztergombi
Serija: Undergraduate Texts in Mathematics
(Išleidimo metai: 27-Jan-2003, Paperback / softback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9780387955858)
Aimed at undergraduate mathematics and computer science students, this book is an excellent introduction to a lot of problems of discrete mathematics. It discusses a number of selected results and methods, mostly from areas of combinatorics and gr...Daugiau...
(Išleidimo metai: 14-Jan-2003, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9780387953205)
This unique book is a guided tour through number theory. While most introductions to number theory provide a systematic and exhaustive treatment of the subject, the authors have chosen instead to illustrate the many varied subjects by associating rec...Daugiau...
(Išleidimo metai: 13-Dec-2002, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9780387955872)
Solutions of equations in integers is the central problem of number theory and is the focus of this book. The amount of material is suitable for a one-semester course. The author has tried to avoid the ad hoc proofs in favor of unifying ideas that...Daugiau...
(Išleidimo metai: 02-May-2002, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9780387953458)
Previous edition sold 2000 copies in 3 years; Explores the subtle connections between Number Theory, Classical Geometry and Modern Algebra; Over 180 illustrations, as well as text and Maple files, are available via the web facilitate understanding: h...Daugiau...
(Išleidimo metai: 30-Oct-1997, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9780387982892)
NUMBERS AND GEOMETRY is a beautiful and relatively elementary account of a part of mathematics where three main fields--algebra, analysis and geometry--meet. The aim of this book is to give a broad view of these subjects at the level of calculus, wit...Daugiau...
(Išleidimo metai: 30-Jun-1992, Hardback, Leidėjas: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783540978251)
Ši knyga nebeleidžiama, tačiau mes Jums pranešime naudoto egzemplioriaus kainą
The emphasis of this text is on the number-theoretic aspects of elliptic curves. The first part is devoted to proving the fundamental theorems of the field: the Nagell-Lutz theorem, Mordells theorem, and Hasses theorem. The remainder of the book d...Daugiau...
(Išleidimo metai: 31-Dec-1989, Hardback, Leidėjas: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783540970408)
Ši knyga nebeleidžiama, tačiau mes Jums pranešime naudoto egzemplioriaus kainą
This is a discussion of number theory, covering factorization and primality testing. It is part of a series of undergraduate texts in mathematics....Daugiau...
(Išleidimo metai: 02-Oct-1989, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9780387970400)
This book focuses on a single issue: how to factor a large integer or prove its prime. Provides a survey of the heritage and an introduction to the current research in the field, with a strong emphasis on algorithms. Can be used as an introduction to...Daugiau...
(Išleidimo metai: 20-Dec-1984, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9780387909424)
Tracing the story from its earliest sources, this book celebrates the lives and work of pioneers of modern mathematics: Fermat, Euler, Lagrange, Legendre, Gauss, Fourier, Dirichlet and more. Includes an English translation of Gausss 1838 letter to D...Daugiau...
(Išleidimo metai: 11-May-1976, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9780387901633)
This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory...Daugiau...
(Išleidimo metai: 01-Jan-1976, Paperback / softback, Leidėjas: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783540901631)
Ši knyga nebeleidžiama, tačiau mes Jums pranešime naudoto egzemplioriaus kainą
This introductory textbook is designed to teach undergraduates the basic ideas and techniques of number theory, with special consideration to the principles of analytic number theory. Among the strong points of the book are its clarity of exposition...Daugiau...
