WorldCat Identities

Soifer, Alexander

Works: 15 works in 157 publications in 2 languages and 3,769 library holdings
Genres: History  Biography 
Roles: Author, Editor
Classifications: QA167, 511.5
Publication Timeline
Most widely held works about Alexander Soifer
Most widely held works by Alexander Soifer
Mathematics as problem solving by Alexander Soifer( Book )

25 editions published between 1987 and 2009 in English and held by 326 WorldCat member libraries worldwide

Retelling the best solutions and sharing the secrets of discovery are part of the process of teaching problem solving. Ideally, this process is characterized by mathematical skill, good taste, and wit. It is a characteristically personal process and the best such teachers have surely left their personal marks on students and readers. Alexander Soifer is a teacher of problem solving and his book, Mathematics as Problem Solving, is designed to introduce problem solving to the next generation. --Cecil Rousseau The American Mathematical Monthly The problems faithfully reflect the world famous Russian school of mathematics, whose folklore is carefully interwoven with more traditional topics. Many of the problems are drawn from the author's rich repertoire of personal experiences, dating back to his younger days as an outstanding competitor in his native Russia, and spanning decades and continents as an organizer of competitions at the highest level. --George Bersenyi The book contains a very nice collection of problems of various difficulty. I particularly liked the problems on combinatorics and geometry. --Paul Erdos Professor Soifer has put together a splendid collection of elementary problems designed to lead students into significant mathematical concepts and techniques. Highly recommended. --Martin Gardner To assemble so much material of the type used in Mathematical Olympiads, which has been tried and tested there, is unusual. To then present it in a form which develops themes, supported by relevant examples and problems for the reader, does the author great credit. --R. W. Whitworth The Mathematical Gazette
How does one cut a triangle? by Alexander Soifer( Book )

26 editions published between 1990 and 2009 in English and held by 294 WorldCat member libraries worldwide

How Does One Cut a Triangle? is a work of art, and rarely, perhaps never, does one find the talents of an artist better suited to his intention than we find in Alexander Soifer and this book. -Peter D. Johnson, Jr. This delightful book considers and solves many problems in dividing triangles into n congruent pieces and also into similar pieces, as well as many extremal problems about placing points in convex figures. The book is primarily meant for clever high school students and college students interested in geometry, but even mature mathematicians will find a lot of new material in it. I very warmly recommend the book and hope the readers will have pleasure in thinking about the unsolved problems and will find new ones. -Paul Erdös It is impossible to convey the spirit of the book by merely listing the problems considered or even a number of solutions. The manner of presentation and the gentle guidance toward a solution and hence to generalizations and new problems takes this elementary treatise out of the prosaic and into the stimulating realm of mathematical creativity. Not only young talented people but dedicated secondary teachers and even a few mathematical sophisticates will find this reading both pleasant and profitable. -L.M. Kelly Mathematical Reviews [How Does One Cut a Triangle?] reads like an adventure story. In fact, it is an adventure story, complete with interesting characters, moments of exhilaration, examples of serendipity, and unanswered questions. It conveys the spirit of mathematical discovery and it celebrates the event as have mathematicians throughout history. -Cecil Rousseau The beginner, who is interested in the book, not only comprehends a situation in a creative mathematical studio, not only is exposed to good mathematical taste, but also acquires elements of modern mathematical culture. And (not less important) the reader imagines the role and place of intuition and analogy in mathematical investigation; he or she fancies the meaning of generalization in modern mathematics and surprising connections between different parts of this science (that are, as one might think, far from each other) that unite them. -V.G. Boltyanski SIAM Review Alexander Soifer is a wonderful problem solver and inspiring teacher. His book will tell young mathematicians what mathematics should be like, and remind older ones who may be in danger of forgetting. -John Baylis The Mathematical Gazette
The mathematical coloring book : mathematics of coloring and the colorful life of its creators by Alexander Soifer( Book )

23 editions published between 2008 and 2009 in English and held by 200 WorldCat member libraries worldwide

This book is dedicated to problems involving colored objects, and to results about the existence of certain exciting and unexpected properties that occur regardless of how these objects are colored. In mathematics, these results comprise the beautiful area known as Ramsey Theory. Wolfram's Math World defines Ramsey Theory as "the mathematical study of combinatorial objects in which a certain degree of order must occur as the scale of the object becomes large". Ramsey Theory thus includes parts of many fields of mathematics, including combinatorics, geometry, and number theory. This book addresses famous and exciting problems of Ramsey Theory, along with the history surrounding the discovery of Ramsey Theory. In addition, the author studies the life of Issai Schur, Pierre Joseph Henry Baudet and B.L. van der Waerden. In researching this book over the past 18 years, the author corresponded extensively with B.L. van der Waerden, Paul Erdös, Henry Baudet, and many others. As a result, this book will incorporate never before published correspondence and photographs
Ramsey theory : yesterday, today, and tomorrow by Alexander Soifer( Book )

21 editions published between 2010 and 2011 in English and held by 170 WorldCat member libraries worldwide

Ramsey theory is a relatively new, approximately 100 year-old direction of fascinating mathematical thought that touches on many classic fields of mathematics such as combinatorics, number theory, geometry, ergodic theory, topology, combinatorial geometry, set theory, and measure theory. Ramsey theory possesses its own unifying ideas, and some of its results are among the most beautiful theorems of mathematics. The underlying theme of Ramsey theory can be formulated as: any finite coloring of a large enough system contains a monochromatic subsystem of higher degree of organization than the system itself, or as T.S. Motzkin famously put it, absolute disorder is impossible. Ramsey Theory: Yesterday, Today, and Tomorrow explores the theory s history, recent developments, and some promising future directions through invited surveys written by prominent researchers in the field. The first three surveys provide historical background on the subject, the last three address Euclidean Ramsey theory and related coloring problems. In addition, open problems posed throughout the volume and in the concluding open problem chapter will appeal to graduate students and mathematicians alike
Geometric etudes in combinatorial mathematics by V. G Bolti︠a︡nskiĭ( Book )

6 editions published in 1991 in English and held by 146 WorldCat member libraries worldwide

Geometric etudes in combinatorial mathematics by Alexander Soifer( Book )

18 editions published between 2008 and 2010 in English and held by 79 WorldCat member libraries worldwide

The etudes presented here are not simply those of Czerny, but are better compared to the etudes of Chopin, not only technically demanding and addressed to a variety of specific skills, but at the same time possessing an exceptional beauty that characterizes the best of art ... Keep this book at hand as you plan your next problem solving seminar.-Don Chakerian THE AMERICAN MATHEMATICAL MONTHLY Alexander Soifer's Geometrical Etudes in Combinatorial Mathematics is concerned with beautiful mathematics, and it will likely occupy a special and permanent place in the mathematical literature, challenging and inspiring both novice and expert readers with surprising and exquisite problems and theorems ... He conveys the joy of discovery as well as anyone, and he has chosen a topic that will stand the test of time.-Cecil Rousseau MEMPHIS STATE UNIVERSITY Each time I looked at Geometrical Etudes in Combinatorial Mathematics I found something that was new and surprising to me, even after more than fifty years working in combinatorial geometry. The new edition has been expanded (and updated where needed), by several new delightful chapters. The careful and gradual introduction of topics and results is equally inviting for beginners and for jaded specialists. I hope that the appeal of the book will attract many young mathematicians to the visually attractive problems that keep you guessing how the questions will be answered in the end.-Branko Grünbaum UNIVERSITY OF WASHINGTON, SEATTLE All of Alexander Soifer's books can be viewed as excellent and artful entrees to mathematics in the MAPS mode ... Different people will have different preferences among them, but here is something that Geometric Etudes does better than the others: after bringing the reader into a topic by posing interesting problems, starting from a completely elementary level, it then goes deep. The depth achieved is most spectacular in Chapter 4, on Combinatorial Geometry, which could be used as part or all of a graduate course on the subject, but it is also pretty impressive in Chapter 3, on graph theory, and in Chapter 2, where the infinite pigeon hole principle (infinitely many pigeons, finitely many holes) is used to prove theorems in an important subset of the set of fundamental theorems of analysis.-Peter D. Johnson, Jr. AUBURN UNIVERSITY This interesting and delightful book ... is written both for mature mathematicians interested in somewhat unconventional geometric problems and especially for talented young students who are interested in working on unsolved problems which can be easily understood by beginners and whose solutions perhaps will not require a great deal of knowledge but may require a great deal of ingenuity ... I recommend this book very warmly.-Paul Erdos
The scholar and the state : in search of Van der Waerden by Alexander Soifer( Book )

12 editions published between 2014 and 2015 in English and held by 51 WorldCat member libraries worldwide

"Bartel Leendert van der Waerden made major contributions to algebraic geometry, abstract algebra, quantum mechanics, and other fields. He liberally published on the history of mathematics. His 2-volume work Modern Algebra is one of the most influential and popular mathematical books ever written. It is therefore surprising that no monograph has been dedicated to his life and work. Van der Waerden?s record is complex. In attempting to understand his life, the author assembled thousands of documents from numerous archives in Germany, the Netherlands, Switzerland and the United States which revealed fascinating and often surprising new information about van der Waerden. Soifer traces Van der Waerden?s early years in a family of great Dutch public servants, his life as professor in Leipzig during the entire Nazi period, and his personal and professional friendship with one of the great physicists Werner Heisenberg. We encounter heroes and villains and a much more numerous group in between these two extremes. One of them is the subject of this book. Soifer's journey through a long list of archives, combined with an intensive correspondence, had uncovered numerous details of Van der Waerden's German intermezzo that raised serious questions and reproaches"--Back cover
The Colorado Mathematical Olympiad and further explorations : from the mountains of Colorado to the peaks of mathematics by Alexander Soifer( Book )

13 editions published in 2011 in English and held by 47 WorldCat member libraries worldwide

This book presents the 20-year account of the Colorado Mathematical Olympiad - its dreams and rewards, hard work and conflict. It features more than just original wonderful problems and their ingenious solutions; it tells a compelling story involving the lives of those who have been part of the Olympiad. The reader will meet Olympians and follow their paths as professionals. In the vast field of competition books, this book is unique, for it builds bridges between Olympiads and "real" mathematics by demonstrating through 20 "Further Explorations," the trains of mathematical thought, showing how a solved Olympiad problem gives birth to deeper problems and leads to the forefront of mathematical research full of striking results and open problems. Like Gauss, Alexander Soifer would not hesitate to inject Eureka! at the right moment. Like van der Waerden, he can transform a dispassionate exercise in logic into a compelling account of sudden insights and ultimate triumph. - Cecil Rousseau Chair, USA Mathematical Olympiad Committee ... this book is not so much mathematical literature as it is literature built around mathematics... with the Further Explorations sections, anyone so inclined could spend a lifetime on the mathematics sprouting from this volume. -Peter D. Johnson, Jr., Auburn University I finished reading the book in one sitting - I just could not put it down. Professor Soifer has indebted us all by first making the effort to organize the Colorado Mathematical Olympiads, and then making the additional effort to tell us about it in such an engaging and useful way. -Branko Grünbaum, University of Washington A delightful feature of the book is that in the second part more related problems are discussed. Some of them are still unsolved. -Paul Erdős The book is a gold mine of brilliant reasoning with special emphasis on the power and beauty of coloring proofs. Strongly recommended to both serious and recreational mathematicians on all levels of expertise. -Martin Gardner
Colorado Mathematical Olympiad : the first 10 years and further explorations by Alexander Soifer( Book )

3 editions published in 1994 in English and held by 47 WorldCat member libraries worldwide

Les Mathématiques par la résolution de problèmes by Alexander Soifer( Book )

2 editions published in 1995 in French and held by 15 WorldCat member libraries worldwide

Colorado Mathematical Olympiad : the first twenty years and further explorations by Alexander Soifer( Book )

3 editions published between 2010 and 2011 in English and held by 12 WorldCat member libraries worldwide

Life and fate : in search of van der Waerden by Alexander Soifer( Book )

1 edition published in 2013 in English and held by 2 WorldCat member libraries worldwide

Colorado Mathematical Olympiad and further explorations : from the mountains of Colorado to the peaks of mathematics with over 185 illustrations by Alexander Soifer( Book )

1 edition published in 2011 in English and held by 1 WorldCat member library worldwide

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Audience level: 0.48 (from 0.40 for Colorado M ... to 0.98 for Colorado M ...)

The mathematical coloring book : mathematics of coloring and the colorful life of its creators
Alternative Names
Alexander Soifer Amerikaans wiskundige

Alexander Soifer amerikansk matematikar

Alexander Soifer amerikansk matematiker

Alexander Soifer mathématicien américain

Alexander Soifer US-amerikanischer Mathematiker

Soifer, A.

Soifer, A. 1948-

Soifer, A. (Alexander)

Soifer, Alexander

Sojfer, Aleksandr 1948-

Sojfer, Aleksandr Jur'jevič 1948-

Александр Сойфер российско-американский математик

English (155)

French (2)

How does one cut a triangle?The mathematical coloring book : mathematics of coloring and the colorful life of its creatorsRamsey theory : yesterday, today, and tomorrowGeometric etudes in combinatorial mathematicsThe Colorado Mathematical Olympiad and further explorations : from the mountains of Colorado to the peaks of mathematicsColorado Mathematical Olympiad : the first twenty years and further explorationsColorado Mathematical Olympiad and further explorations : from the mountains of Colorado to the peaks of mathematics with over 185 illustrations