Bøger i Monograph Books serien

Focuses on geometry, topology, and partial differential equations. This book discusses a variety of topics, including expository articles on topics such as gauge theory, the Kakeya needle problem, and the Black-Scholes equation. It is suitable for graduate students and research mathematicians interested in broad exposure to mathematical topics.

Focuses on ergodic theory, combinatorics, and number theory. This book discusses a variety of topics, ranging from developments in additive prime number theory to expository articles on individual mathematical topics such as the law of large numbers and the Lucas-Lehmer test for Mersenne primes.

Takes the reader on a journey through time, providing an accessible overview of the numerous prime number theory problems that mathematicians have been working on since Euclid. Topics are presented in chronological order as episodes.

This is the first of a three volume collection devoted to the geometry, topology, and curvature of 2-dimensional spaces. The collection provides a guided tour through a wide range of topics by one of the twentieth century's masters of geometric topology. The books are accessible to college and graduate students and provide perspective and insight to mathematicians at all levels.

Designed for a modern first course in differential equations. The book interweaves the three components in the subtitle, with each building on and supporting the others. The text supports many different styles of pedagogy from traditional lecture to a flipped classroom model.

Mathematician and award-winning children's book author Richard Schwartz teaches about infinity and curved space through stories of whimsical farm animals. Children as young as five will enjoy the lighthearted illustrations and the fanciful approach to infinity. Older students will appreciate the more advanced ideas and geometric references.

Offers a remarkable collection of ninety-two photographic portraits, featuring a selection of the most impressive mathematicians of our time. Acclaimed photographer Mariana Cook captures the exuberance and passion of these brilliant thinkers. The superb images are accompanied by autobiographical texts.

Provides an introduction to the combinatorial theory of chip-firing on finite graphs. Part 1 motivates the study of the discrete Laplacian by introducing the dollar game. Part 2 focuses on sandpiles. Part 3 addresses various topics connecting the theory of chip-firing to other areas of mathematics.

Chronicles the lives and intellectual contributions of Gregorio Ricci and his brilliant student Tullio Levi-Civita, including letters, interviews, memoranda, and other personal and professional papers, to tell the remarkable story of how two Italian academics came to provide the indispensable mathematical foundation for general relativity.

This three-volume collection is devoted to the geometry, topology, and curvature of two dimensional spaces. The collection provides a guided tour through a wide range of topics by one of the twentieth century's masters of geometric topology. The books provide perspective and insight to mathematicians at all levels who are interested in geometry and topology.

When origami met the worlds of design and engineering, both fields embraced the ancient art form, using its principles and practices to discover new problems and to generate inventive solutions. This book demonstrates the potential of folding to improve the way things work, simplify how products are produced, and make possible new objects otherwise impossible.

This is the second of a three volume collection devoted to the geometry, topology, and curvature of 2-dimensional spaces. The collection provides a guided tour through a wide range of topics by one of the twentieth century's masters of geometric topology. The books provide perspective and insight to mathematicians at all levels who are interested in geometry and topology.

Presents ingenious, unusual, and beautiful nuggets of mathematics with a distinctly Australian flavour. It focuses, for example, on Australians' love of sports and gambling, and on Melbourne's iconic, mathematically inspired architecture. Written in a playful style, the book offers mathematical entertainment as well as a glimpse of Australian culture for the mathematically curious of all ages.

As both readers and writers, we are all aware of blogs, chat rooms, and preprint servers. The truly new feature of this second edition is an extensive discussion of technological developments. Similar to the first edition, Krantz's frank and straightforward approach makes this book particularly suitable as a textbook for an undergraduate course.

Embark on a playful mathematical tour, aided by Lisl Gaal's illustrations of familiar scenes and whimsical triggers for the imagination. Along the way, find fruit stands arranged using polynomial multiplication, checkerboard tablecloths sewed with patterns of primes in a two-dimensional number system, and deceptive cats revealing that simple counting is not always so simple.

In Really Big Numbers, mathematician and author, Richard Evan Schwartz, leads math lovers of all ages on an innovative and strikingly illustrated journey through the infinite number system. You Can Count on Monsters is a unique teaching tool that takes maths lovers on a journey designed to motivate kids to learn the fun of factoring and prime numbers.

Some of the world's top mathematicians are also accomplished artists. In this volume, they share some of their work and reflect on the roles that mathematics and art have played in their lives. They write about creativity, communication, making connections, negotiating successes and failures, and navigating the vastly different professional worlds of art and mathematics.

Provides a quick, but very readable introduction to stochastic differential equations-that is, to differential equations subject to additive "white noise" and related random disturbances. The exposition is strongly focused upon the interplay between probabilistic intuition and mathematical rigour.

Explores concepts such as the index of composition and the index of isolation of an integer. This book displays several tables of particular families of numbers, including the list of all 88 narcissistic numbers and the list of the eight known numbers which are not prime powers but which can be written as the sum of cubes of their prime factors.

Suitable for those who wish to explore elementary methods in modern number theory, this book offers an introduction to elementary prime number theory, including Dirichlet's theorem on primes in arithmetic progressions, the Brun sieve, and the Erdos-Selberg proof of the prime number theorem.

Illustrates connections between various courses taken by undergraduate mathematics majors. The chapters are independent, and the instructor can choose the topics that will form the course and thus tailor the syllabus to suit the backgrounds and abilities of the students. At the end of the course students should have an integrated body of mathematic knowledge.

Presents a collection of 180 mathematical puzzles and elementary problems that great mathematicians have posed, discussed, and solved. This book intends to show that famous mathematicians have all communicated brilliant ideas, methodological approaches, and absolute genius in mathematical thoughts by using recreational mathematics as a framework.

Jacques Hadamard, among the greatest mathematicians of the twentieth century, made signal contributions to a number of fields. This title offers solutions to the problems in the first part of Hadamard's work (""Lessons in Geometry I Plane Geometry""). It is suitable for high school teachers, gifted high school students, and college students.

Offers guidance to the professional mathematician in how to develop and survive in the profession. This book offers information on how to begin a research program, how to apply for a grant, how to get tenure, how to teach, and how to get along with one's colleagues.

Suitable for pre-college teachers, this text starts where Euclid starts, and covers the basics of plane Euclidean geometry. It features problems that are well-suited to exploration using the tools of dynamic geometry software. It includes a CD of solutions to select problems, created using Texas Instruments' TI-Nspire[trademark] Learning Software.