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...
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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...
This new textbook demonstrates that geometry can be developed in four fundamentally different ways, and that all should be used if the subject is to be shown in all its splendor. Euclid-style...
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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...
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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...
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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...
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Provides an introduction to abstract algebra that stresses its unifying role in geometry and number theory. This work places emphasis on historical motivation - both to trace abstract...
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This text plugs a gap in the standard curriculum by linking set theory with analysis. It features a distinctive, detailed treatment of the real numbers system, and combines an introduction...
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This text plugs a gap in the standard curriculum by linking set theory with analysis. It features a distinctive, detailed treatment of the real numbers system, and combines an introduction...
Why were most historically important mathematicians wealthy? Why were they often lawyers and many had pastors for fathers? Why were original results sometimes discovered by two mathematicians...
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The first book surveying the history and ideas behind reverse mathematicsReverse mathematics is a new field that seeks to find the axioms needed to prove given theorems. In Reverse...
This book is a concise introduction to number theory and some related algebra, with an emphasis on solving equations in integers. Finding integer solutions led to two fundamental ideas...
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This book aims to fill a gap in the literature by introducing Lie theory to junior and senior level undergraduates. In order to achieve this, the author focuses on the so-called "classical...
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This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants§Approach makes...
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This book offers a collection of historical essays detailing a large variety of mathematical disciplines and issues; it s accessible to a broad audience. This third edition includes...
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A concise and well-motivated introduction to algebraic number theory, following the evolution of unique prime factorization through history...
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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...
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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...
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