Proceedings of Symposia in Applied Mathematics, Volume: 47
1993; 205 pp; Softcover
MSC: Primary 35; 42; 46; 62; 94;
Print ISBN: 978-1-4704-2920-1
The wavelet transform can be seen as a synthesis of ideas that have emerged since the 1960s in mathematics, physics, and electrical engineering. The basic idea is to use a family of “building blocks” to represent in an efficient way the object at hand, be it a function, an operator, a signal, or an image. The building blocks themselves come in different “sizes” which can describe different features with different resolutions. The papers in this book attempt to give some theoretical and technical shape to this intuitive picture of wavelets and their uses. The papers collected here were prepared for an AMS Short Course on Wavelets and Applications, held at the Joint Mathematics Meetings in San Antonio in January 1993. Here readers will find general background on wavelets as well as more detailed views of specific techniques and applications. With contributions by some of the top experts in the field, this book provides an excellent introduction to this important and growing area of research.
Graduate students and researchers looking for an excellent introduction to wavelets.
A volume in a very distinguished AMS book series … A landmark in the subject … serves as an invitation to these exciting and related sub areas of math … A clear and very readable presentation of key wavelet ideas … modern substantial real life applications … Each chapter can be read by beginners yet the reader is quickly led to the heart of the matter.
MAA Press: An Imprint of the American Mathematical Society
AMS/MAA Textbooks, Volume: 42
2018; 240 pp; Hardcover
MSC: Primary 57;
Print ISBN: 978-1-4704-4781-6
Topology is a branch of mathematics packed with intriguing concepts, fascinating geometrical objects, and ingenious methods for studying them. The authors have written this textbook to make the material accessible to undergraduate students without requiring extensive prerequisites in upper-level mathematics. The approach is to cultivate the intuitive ideas of continuity, convergence, and connectedness so students can quickly delve into knot theory, the topology of surfaces and three-dimensional manifolds, fixed points and elementary homotopy theory. The fundamental concepts of point-set topology appear at the end of the book when students can see how this level of abstraction provides a sound logical basis for the geometrical ideas that have come before. This organization exposes students to the exciting world of topology now(!) rather than later. Students using this textbook should have some exposure to the geometry of objects in higher-dimensional Euclidean spaces together with an appreciation of precise mathematical definitions and proofs.
A marvelous introduction to geometric topology for students with mathematical talent, but not much mathematical experience.
-- W. B. Raymond Likorish, University of Cambridge
2018; 155 pp; Softcover
MSC: Primary 01;
Print ISBN: 978-1-4704-4791-5
Every mathematician is a person with a story. Limitless Minds tells those stories in an engaging way by featuring interviews with twelve leading mathematicians. They were invited to answer some key questions such as: Who and what were the influences that pointed them towards mathematics? Why do mathematicians devote their lives to discovering new mathematics? How do they see mathematics evolving in the future?
The book, written in an accessible style and enriched by dozens of images, offers a rare insight into the minds of mathematicians, provided in their own words. It will enlighten and inspire readers about the lives, passions, and discoveries of mathematicians.
Undergraduate and graduate students and researchers interested in interviews and mathematicians.
MAA Press: An Imprint of the American Mathematical Society
Classroom Resource Materials, Volume: 58;
2012; 373 pp; Hardcover
Print ISBN: 978-1-4704-4964-3
Research topics in the book include complex dynamics, minimal surfaces, fluid flows, harmonic, conformal, and polygonal mappings, and discrete complex analysis via circle packing. The nature of this book is different from many mathematics texts: the focus is on student-driven and technology-enhanced investigation. Interlaced in the reading for each chapter are examples, exercises, explorations, and projects, nearly all linked explicitly with computer applets for visualization and hands-on manipulation.
MAA Press: An Imprint of the American Mathematical Society
The Carus Mathematical Monographs, Volume: 35;
1975; 323 pp; Softcover
MSC: Primary 12;
Print ISBN: 978-1-4704-4960-5
Field Theory and its Classical Problems lets Galois theory unfold in a natural way, beginning with the geometric construction problems of antiquity, continuing through the construction of regular nn-gons and the properties of roots of unity, and then on to the solvability of polynomial equations by radicals and beyond. The logical pathway is historic, but the terminology is consistent with modern treatments. No previous knowledge of algebra is assumed. Notable topics treated along this route include the transcendence of e e and π π , cyclotomic polynomials, polynomials over the integers, Hilbert's irreducibility theorem, and many other gems in classical mathematics. Historical and bibliographical notes complement the text, and complete solutions are provided to all problems.
The presented book is a clear and concise introduction to classical results of Galois theory. The book is an excellent reading for everyone, especially for instructors and first year graduate students in Galois theory.
-- Acta. Sci. Math.
MAA Press: An Imprint of the American Mathematical Society
Problem Books, Volume: 30;
1985; 147 pp; Softcover
Print ISBN: 978-1-4704-4968-1
The Putnam Competition has been providing a challenge to gifted college mathematics students since 1928. This book, the second of the Putnam Competition volumes, contains problems with their solutions for the years 1965-1984. Additional solutions are presented for many of the problems. Included is an essay on recollections of the first Putnam Exam by Herbert Robbins, as well as appendices listing the winning teams and students from 1965 through 1984. This volume offers the problem solver an enticing sample of challenging problems and their solutions.