Brieskorn  | Springer Verlag

209,980원  | 20120826  | 9783034804929

In a detailed and comprehensive introduction to the theory of plane algebraic curves, the authors examine this classical area of mathematics that both figured prominently in ancient Greek studies and remains a source of inspiration and a topic of research to this day.

Stillwell, John  | Springer

192,480원  | 20210101  | 9789048187492

Inequality is one of the major problems of the contemporary world. Significant geographical disparities exist within nations of the developed world, as well as between these countries and those referred to as the ‘South’ in the Bruntland Report. Issues of equity and deprivation must be addressed in view of sustainable development.

Stillwell, John  | Springer

94,410원  | 20210101  | 9780387955872

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 of number theory in ancient times - the Euclidean algorithm and unique prime factorization - and in modern times to two fundamental ideas of algebra - rings and ideals.The development of these ideas, and the transition from ancient to modern, is the main theme of the book. The historical development has been followed where it helps to motivate the introduction of new concepts, but modern proofs have been used where they are simpler, more natural, or more interesting. These include some that have not yet appeared in textbooks, such as a treatment of the Pell equation using Conway's theory of quadratic forms. Also, this is the only elementary number theory book that includes significant applications of ideal theory. It is clearly written, well illustrated, and supplied with carefully designed exercises, making it a pleasure to use as an undergraduate textbook or for independent study.John Stillwell is Professor of Mathematics at the University of San Francisco. He is the author of several highly regarded books published by Springer-Verlag, including Mathematics and Its History (Second Edition 2001), Numbers and Geometry (1997) and Elements of Algebra (1994).

Stillwell, John  | Cambridge University Press

40,250원  | 20190630  | 9781108456234

Presents an outline of mathematics and its history, with particular emphasis on events that shook up its philosophy. Ranges from ancient Greece to the nineteenth- and twentieth-century discoveries on the nature of infinity and proof. Recurring themes are intuition and logic, meaning and existence, and the discrete and the continuous.

Stillwell, John  | CRC Press

79,060원  | 20180518  | 9781138586109

This book explores the history of mathematics from the perspective of the creative tension between common sense and the "impossible" as the author follows the discovery or invention of new concepts that have marked mathematical progress.

Stillwell, John  | Princeton University Press

35,800원  | 20171107  | 9780691178547

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 elementary mathematics were always considered as such, and great mathematical advances and discoveries had to occur in order for certain subjects to become "elementary." Stillwell examines elementary mathematics from a distinctive twenty-first-century viewpoint and describes not only the beauty and scope of the discipline, but also its limits. From Gaussian integers to propositional logic, Stillwell delves into arithmetic, computation, algebra, geometry, calculus, combinatorics, probability, and logic. He discusses how each area ties into more advanced topics to build mathematics as a whole. Through a rich collection of basic principles, vivid examples, and interesting problems, Stillwell demonstrates that elementary mathematics becomes advanced with the intervention of infinity. Infinity has been observed throughout mathematical history, but the recent development of "reverse mathematics" confirms that infinity is essential for proving well-known theorems, and helps to determine the nature, contours, and borders of elementary mathematics. Elements of Mathematics gives readers, from high school students to professional mathematicians, the highlights of elementary mathematics and glimpses of the parts of math beyond its boundaries.

Stillwell, John  | AK Peters

235,120원  | 20110104  | 9781568814667

Offers a comprehensive introduction to the role of infinity in mathematics, from ancient to modern times. Suitable for general audience, this book explains the critical philosophical issues connected to the concept of infinity and their relevance for the foundations of mathematics.

Stillwell, John  | Springer

96,330원  | 20100801  | 9781441960528

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 polynomial equations. The fact that the topics are introduced in their historical contexts will enable students to better appreciate and understand the mathematical ideas involved...If one constructs a list of topics central to a history course, then they would closely resemble those chosen here. (David Parrott, Australian Mathematical Society) The book...is presented in a lively style without unnecessary detail. It is very stimulating and will be appreciated not only by students. Much attention is paid to problems and to the development of mathematics before the end of the nineteenth century...This book brings to the non-specialist interested in mathematics many interesting results. It can be recommended for seminars and will be enjoyed by the broad mathematical community. (European Mathematical Society) Since Stillwell treats many topics, most mathematicians will learn a lot from this book as well as they will find pleasant and rather clear expositions of custom materials. The book is accessible to students that have already experienced calculus, algebra and geometry and will give them a good account of how the different branches of mathematics interact. (Denis Bonheure, Bulletin of the Belgian Society)This third edition includes new chapters on simple groups and combinatorics, and new sections on several topics, including the Poincare conjecture. The book has also been enriched by added exercises.

Stillwell, John  | Springer Verlag

86,540원  | 20090612  | 9780387782140

In this new textbook, acclaimed author John Stillwell presents a lucid introduction to Lie theory suitable for junior and senior level undergraduates.

Stillwell, John  | Springer

0원  | 20051011  | 9780387255309

For two millennia the right way to teach geometry was the Euclidean approach, and in many respects, this is still the case. But in the 1950s, the cry "Down with triangles!" was heard in France and new geometry books appeared, packed with linear algebra but with no diagrams. Was this the new right approach? Or was the right approach still something else, perhaps transformation groups?

Stillwell, John  | Springer

102,290원  | 19971001  | 9780387982892

Numbers and Geometry is a beautiful and relatively an elementary account of the part of mathematics where algebra, analysis and geometry meet. Stillwell has chosen an array of exciting and worthwhile topics, and elegantly combines mathematics with...

Stillwell, John  | American Mathematical Society

125,870원  | 19961201  | 9780821809228

Presents the papers of Beltrami, Klein, and Poincare that brought hyperbolic geometry into the mainstream of mathematics.

Stillwell, John  | Springer

0원  | 19950804  | 9780387979700

This is a well-balanced introduction to topology that stresses geometric aspects. Focusing on historical background and visual interpretation of results, it emphasizes spaces with few dimensions, where visualization is possible, and interaction with combinatorial group theory via the fundamental group. It also present algorithms for topological problems. Most of the results and proofs are known, but some have been simplified or placed in a new perspective. Over 300 illustrations, many interesting exercises, and challenging open problems are included. New in this edition is a chapter on unsolvable problems, which includes the first textbook proof that the main problem of topology, the homeomorphism problem, is unsolvable.

Stillwell, John C, H  | Igi Global

315,000원  | 20210101  | 9781615207558

Addresses the technical and data-related side of studying population flows. With expert international contributors currently working in the field, this authoritative book allows readers to better understand interaction data and the ways knowledge of population flows can be put to use.

Geertman, Stan (Edt)/ Stillwell, John (Edt)  | Springer

0원  | 20021001  | 9783540437192