John Stillwell - Böcker

From the reviews 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 polynomia...

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This book introduces algebraic number theory through the problem of generalizing 'unique prime factorization' from ordinary integers to more general domains. Solving polynomial equations in integers leads naturally to these domains, but unique pri...

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How the concept of proof has enabled the creation of mathematical knowledge The Story of Proof investigates the evolution of the concept of proofone of the most significant and defining features of mathematical thoughtthrough critical episodes in ...

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The collection of reliable and comprehensive data on the magnitude, composition and distribution of a countrys population is essential in order for governments to provide services, administer effectively and guide a countrys development. The prima...

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This book is intended to complement my Elements oi Algebra, and it is similarly motivated by the problem of solving polynomial equations. However, it is independent of the algebra book, and probably easier. In Elements oi Algebra we sought solutio...

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Many people think there is only one right way to teach geometry. For two millennia, the right way was Euclids way, and it is still good in many respects. But in the 1950s the cry Down with triangles! was heard in France and new geometry books appe...

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Many people think there is only one "e;right"e; way to teach geometry. For two millennia, the "e;right"e; way was Euclid's way, and it is still good in many respects. But in the 1950s the cry "e;Down with triangles!"e; was ...

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In this new textbook, acclaimed author John Stillwell presents a lucid introduction to Lie theory suitable for junior and senior level undergraduates. In order to achieve this, he focuses on the so-called "classical groups'' that ca...

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In this new textbook, acclaimed author John Stillwell presents a lucid introduction to Lie theory suitable for junior and senior level undergraduates. In order to achieve this, he focuses on the so-called "e;classical groups'' that capture the...

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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 emerge...

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This book is intended to complement my Elements oi Algebra, and it is similarly motivated by the problem of solving polynomial equations. However, it is independent of the algebra book, and probably easier. In Elements oi Algebra we sought solutio...

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Geometry used to be the basis of a mathematical education; today it is not even a standard undergraduate topic. Much as I deplore this situation, I welcome the opportunity to make a fresh start. Classical geometry is no longer an adequate basis fo...

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In recent years, many students have been introduced to topology in high school mathematics. Having met the Mobius band, the seven bridges of Konigsberg, Euler's polyhedron formula, and knots, the student is led to expect that these picturesqu...

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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, ...

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Yearning for the Impossible: The Surprising Truth of Mathematics, Second Edition explores the history of mathematics from the perspective of the creative tension between common sense and the "e;impossible"e; as the author follows the disco...

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Yearning for the Impossible: The Surprising Truth of Mathematics, Second Edition explores the history of mathematics from the perspective of the creative tension between common sense and the "e;impossible"e; as the author follows the disco...

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Only applications-driven book dealing with commerically-sponsored spatial analysis research. Focuses on business and public sector planning case studies, offering readers a snapshot of the use of spatial analysis across a broad range of areas. Int...

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Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics--but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's ...

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This book presents reverse mathematics to a general mathematical audience for the first time. Reverse mathematics is a new field that answers some old questions. In the two thousand years that mathematicians have been deriving theorems from axioms...

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Elements of Mathematics takes readers on a fascinating tour that begins in elementary mathematics--but, as John Stillwell shows, this subject is not as elementary or straightforward as one might think. Not all topics that are part of today's ...

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The first book surveying the history and ideas behind reverse mathematics Reverse mathematics is a new field that seeks to find the axioms needed to prove given theorems. In Reverse Mathematics, John Stillwell offers a historical and representativ...

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How the concept of proof has enabled the creation of mathematical knowledgeThe Story of Proof investigates the evolution of the concept of proof-one of the most significant and defining features of mathematical thought-through critical episodes in...

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In August 1989, a Summer Institute was held at the Academie van Bouwkunst, the seventeenth century home of Amsterdam's School of Architecture, Town Planning and Landscape. The meeting brought together experts in Geographical Information Syste...

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This monumental five-volume set, commonly referred to as Stillwell, contains genealogical records of early New Jersey and New York (principally Staten Island) and genealogies of the families of the early settlers of New Jersey, with lineages and r...

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This monumental five-volume set, commonly referred to as Stillwell, contains genealogical records of early New Jersey and New York (principally Staten Island) and genealogies of the families of the early settlers of New Jersey, with lineages and r...

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This monumental five-volume set, commonly referred to as Stillwell, contains genealogical records of early New Jersey and New York (principally Staten Island) and genealogies of the families of the early settlers of New Jersey, with lineages and r...

Läs mer »

This monumental five-volume set, commonly referred to as Stillwell, contains genealogical records of early New Jersey and New York (principally Staten Island) and genealogies of the families of the early settlers of New Jersey, with lineages and r...

Läs mer »

This monumental five-volume set, commonly referred to as Stillwell, contains genealogical records of early New Jersey and New York (principally Staten Island) and genealogies of the families of the early settlers of New Jersey, with lineages and r...

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This book presents, for the first time in English, the papers of Beltrami, Klein, and Poincare that brought hyperbolic geometry into the mainstream of mathematics. By placing the works of these three mathematicians side by side and providing comme...

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This book introduces algebraic number theory through the problem of generalizing 'unique prime factorization' from ordinary integers to more general domains. Solving polynomial equations in integers leads naturally to these domains, but unique pri...

Läs mer »