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Singular Spectrum Analysis with R (Use R!)
by Nina Golyandina Anton Korobeynikov Anatoly ZhigljavskyThis comprehensive and richly illustrated volume provides up-to-date material on Singular Spectrum Analysis (SSA). SSA is a well-known methodology for the analysis and forecasting of time series. Since quite recently, SSA is also being used to analyze digital images and other objects that are not necessarily of planar or rectangular form and may contain gaps. SSA is multi-purpose and naturally combines both model-free and parametric techniques, which makes it a very special and attractive methodology for solving a wide range of problems arising in diverse areas, most notably those associated with time series and digital images. An effective, comfortable and accessible implementation of SSA is provided by the R-package Rssa, which is available from CRAN and reviewed in this book. Written by prominent statisticians who have extensive experience with SSA, the book (a) presents the up-to-date SSA methodology, including multidimensional extensions, in language accessible to a large circle of users, (b) combines different versions of SSA into a single tool, (c) shows the diverse tasks that SSA can be used for, (d) formally describes the main SSA methods and algorithms, and (e) provides tutorials on the Rssa package and the use of SSA. The book offers a valuable resource for a very wide readership, including professional statisticians, specialists in signal and image processing, as well as specialists in numerous applied disciplines interested in using statistical methods for time series analysis, forecasting, signal and image processing. The book is written on a level accessible to a broad audience and includes a wealth of examples; hence it can also be used as a textbook for undergraduate and postgraduate courses on time series analysis and signal processing.
Singularities: Formation, Structure, and Propagation
by J. Eggers M. A. FontelosMany key phenomena in physics and engineering are described as singularities in the solutions to the differential equations describing them. Examples covered thoroughly in this book include the formation of drops and bubbles, the propagation of a crack and the formation of a shock in a gas. Aimed at a broad audience, this book provides the mathematical tools for understanding singularities and explains the many common features in their mathematical structure. Part I introduces the main concepts and techniques, using the most elementary mathematics possible so that it can be followed by readers with only a general background in differential equations. Parts II and III require more specialised methods of partial differential equations, complex analysis and asymptotic techniques. The book may be used for advanced fluid mechanics courses and as a complement to a general course on applied partial differential equations.
Singularities, Algebraic Geometry, Commutative Algebra, and Related Topics: Festschrift for Antonio Campillo on the Occasion of his 65th Birthday
by Gert-Martin Greuel Luis Narváez Macarro Sebastià Xambó-DescampsThis volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra. The motivation for this collection comes from the wide-ranging research of the distinguished mathematician, Antonio Campillo, in these and related fields. Besides his influence in the mathematical community stemming from his research, Campillo has also endeavored to promote mathematics and mathematicians' networking everywhere, especially in Spain, Latin America and Europe. Because of his impressive achievements throughout his career, we dedicate this book to Campillo in honor of his 65th birthday. Researchers and students from the world-wide, and in particular Latin American and European, communities in singularities, algebraic geometry, commutative algebra, coding theory, and other fields covered in the volume, will have interest in this book.
Singularities and Computer Algebra
by Wolfram Decker Gerhard Pfister Mathias SchulzeThis book arose from a conference on "Singularities and Computer Algebra" which was held at the Pfalz-Akademie Lambrecht in June 2015 in honor of Gert-Martin Greuel's 70th birthday. This unique volume presents a collection of recent original research by some of the leading figures in singularity theory on a broad range of topics including topological and algebraic aspects, classification problems, deformation theory and resolution of singularities. At the same time, the articles highlight a variety of techniques, ranging from theoretical methods to practical tools from computer algebra. Greuel himself made major contributions to the development of both singularity theory and computer algebra. With Gerhard Pfister and Hans Sch#65533;nemann, he developed the computer algebra system SINGULAR, which has since become the computational tool of choice for many singularity theorists. The book addresses researchers whose work involves singularity theory and computer algebra from the PhD to expert level.
Singularities and Foliations. Geometry, Topology and Applications: Bbms 2/nbms 3, Salvador, Brazil 2015 (Springer Proceedings In Mathematics And Statistics Series #222)
by Jawad Snoussi Marcelo J. Saia David Mond Aurélio Menegon Neto Raimundo Nonato Araújo dos SantosThis proceedings book brings selected works from two conferences, the 2nd Brazil-Mexico Meeting on Singularity and the 3rd Northeastern Brazilian Meeting on Singularities, that were hold in Salvador, in July 2015. All contributions were carefully peer-reviewed and revised, and cover topics like Equisingularity, Topology and Geometry of Singularities, Topological Classification of Singularities of Mappings, and more. They were written by mathematicians from several countries, including Brazil, Spain, Mexico, Japan and the USA, on relevant topics on Theory of Singularity, such as studies on deformations, Milnor fibration, foliations, Catastrophe theory, and myriad applications. Open problems are also introduced, making this volume a must-read both for graduate students and active researchers in this field.
Singularities and Low Dimensional Topology (Bolyai Society Mathematical Studies #30)
by Javier Fernández de Bobadilla Marco Marengon András Némethi András StipsiczThe special semester 'Singularities and low dimensional topology' in the Spring of 2023 at the Erdős Center (Budapest) brought together algebraic geometers and topologists to discuss and explore the strong connection between surface singularities and topological properties of three- and four-dimensional manifolds. The semester featured a Winter School (with four lecture series) and several focused weeks. This volume contains the notes of the lecture series of the Winter School and some of the lecture notes from the focused weeks. Topics covered in this collection range from algebraic geometry of complex curves, lattice homology of curve and surface singularities to novel results in smooth four-dimensional topology and grid homology, and to Seiberg-Witten homotopy theory and ‘spacification’ of knot invariants. Some of these topics are already well-documented in the literature, and the lectures aim to provide a new perspective and fresh connections. Other topics are rather new and have been covered only in research papers. We hope that this volume will be useful not only for advanced graduate students and early-stage researchers, but also for the more experienced geometers and topologists who want to be informed about the latest developments in the field.
Singularities and Their Interaction with Geometry and Low Dimensional Topology: In Honor of András Némethi (Trends in Mathematics)
by Javier Fernández de Bobadilla Tamás László András StipsiczThe book is a collection of surveys and original research articles concentrating on new perspectives and research directions at the crossroads of algebraic geometry, topology, and singularity theory. The papers, written by leading researchers working on various topics of the above fields, are the outcome of the “Némethi60: Geometry and Topology of Singularities” conference held at the Alfréd Rényi Institute of Mathematics in Budapest, from May 27 to 31, 2019. Both the conference and this resulting volume are in honor of Professor András Némethi, on the occasion of his 60th birthday, whose work plays a decisive and influential role in the interactions between the above fields.The book should serve as a valuable resource for graduate students and researchers to deepen the new perspectives, methods, and connections between geometry and topology regarding singularities.
Singularly Perturbed Methods for Nonlinear Elliptic Problems (Cambridge Studies in Advanced Mathematics)
by Daomin Cao Shuangjie Peng Shusen YanThis introduction to the singularly perturbed methods in the nonlinear elliptic partial differential equations emphasises the existence and local uniqueness of solutions exhibiting concentration property. The authors avoid using sophisticated estimates and explain the main techniques by thoroughly investigating two relatively simple but typical non-compact elliptic problems. Each chapter then progresses to other related problems to help the reader learn more about the general theories developed from singularly perturbed methods. Designed for PhD students and junior mathematicians intending to do their research in the area of elliptic differential equations, the text covers three main topics. The first is the compactness of the minimization sequences, or the Palais-Smale sequences, or a sequence of approximate solutions; the second is the construction of peak or bubbling solutions by using the Lyapunov-Schmidt reduction method; and the third is the local uniqueness of these solutions.
Sinusoids: Theory and Technological Applications
by Prem K. KytheA Complete Treatment of Current Research Topics in Fourier Transforms and Sinusoids Sinusoids: Theory and Technological Applications explains how sinusoids and Fourier transforms are used in a variety of application areas, including signal processing, GPS, optics, x-ray crystallography, radioastronomy, poetry and music as sound waves, and the medic
Sir Cumference and All the King's Tens (Sir Cumference)
by Cindy NeuschwanderJoin Sir Cumference and the gang for more wordplay, puns, and problem solving in the clever math adventure about place-value and counting by tens. Sir Cumference and Lady Di planned a surprise birthday party for King Arthur, but they didn&’t expect so many guests to show up. How many lunches will they need? And with more guests arriving by the minute, what about dinner? Sir Cumference and Lady Di count guests by tens, hundreds, and even thousands to help young readers learn place-value. Fans will love this new installment of the Sir Cumference series that makes math fun and accessible for all.
Sir Cumference and the 100 PerCent Goose Chase (Sir Cumference)
by Cindy NeuschwanderMedieval math favorite Sir Cumference series is back! Lady Di of Ameter and Percilla Centwell figure out parts of a whole in this fun percent introduction.Percilla Centwell and Lady Di are off to Gaggleston-on-Green to deliver Percilla's flock of one hundred geese to the townspeople who ordered them. When some of the geese go missing on the way, Percilla and Lady Di must figure out a way to make sure all of the customers still get their fair share of the flock. In this latest medieval math adventure, readers learn about finding percents as part of a whole by using fractions. The endnote includes step-by-step instructions for calculating percent.
Sir Cumference and the Dragon of Pi (A Math Adventure)
by Cindy NeuschwanderFor fans of the Sir Cumference series with Pi on their mind, here is the second installment in this fun look at math and language. This time the math adventure is centered around a potion that changes Sir Cumference into a fire-breathing dragon. Can Radius change him back? Join Radius on his quest through the castle to solve a riddle that will reveal the cure. It lies in discovering the magic number that is the same for all circles. Perfect for parent and teachers who are looking to make math fun and accessible for everyone.
Sir Cumference and the Dragon of Pi (Sir Cumference)
by Cindy NeuschwanderFor fans of the Sir Cumference series with Pi on their mind, here is the second installment in this fun look at math and language. This time the math adventure is centered around a potion that changes Sir Cumference into a fire-breathing dragon. Can Radius change him back? Join Radius on his quest through the castle to solve a riddle that will reveal the cure. It lies in discovering the magic number that is the same for all circles. Perfect for parent and teachers who are looking to make math fun and accessible for everyone.
Sir Cumference and the First Round Table (Sir Cumference)
by Cindy NeuschwanderJoin Sir Cumference, Lady Di of Ameter, and their son Radius for wordplay, puns, and problem solving in this geometry-packed math adventure. King Arthur was a good ruler, but now he needs a good ruler. What would you do if the neighboring kingdom were threatening war? Naturally, you'd call your strongest and bravest knights together to come up with a solution. But when your conference table causes more problems than the threat of your enemy, you need expert help. Enter Sir Cumference, his wife Lady Di of Ameter, and their son Radius. With the help of the carpenter, Geo of Metry, this sharp-minded team designs the perfect table conducive to discussing the perfect plan for peace. The first in Sir Cumference series, Sir Cumference and the First Round Table makes math fun and accessible for everyone.
Sir Cumference and the Fracton Faire: A Math Adventure (Sir Cumference)
by Cindy NeuschwanderJoin Sir Cumference and the gang for more wordplay, puns, and problem solving in the clever math adventure that introduces readers to the concept of fractons. Sir Cumference and Lady Di discover "Fracton numbers" while purchasing cloth and cheese at the Fracton Faire. While two-fourths may seem like the same as one-half, in truth it denotes two parts of one-half, or two quarters of the whole. But the real mystery is the fact that items at the fair keep disappearing, and Sir C, Lady Di, and the Earl of Fracton must set a numeric trap for the thief, teaching an important lesson along the way about the comparative size of fractions. Puns--both literal and visual--abound in this fun adventure story with beloved characters and a solid pedagogical foundation. A fun little math adventure that introduces the basics of fractions to early elementary audiences.— School Library Journal
Sir Cumference and the Great Knight of Angleland (Sir Cumference)
by Cindy NeuschwanderJoin Sir Cumference, Lady Di of Ameter, and their son Radius for wordplay, puns, and problem solving in this angle-packed math adventure. In the third installment of the beloved Sir Cumference series, Radius must prove himself on his quest for knighthood by rescuing a king. Sent off with the family medallion for luck, Radius dodges dangers and dragons. The ultimate challenge lies in a mysterious castle with a maze of many angles.
Sir Cumference and the Isle of Immeter (Sir Cumference)
by Cindy NeuschwanderJoin Sir Cumference and the gang for more wordplay, puns, and problem solving in the clever math adventure that introduces readers to the concepts of area and perimeters. When young Per visits her uncle Sir Cumference and his family, she learns how to play the game, "Inners and Edges." After she finds a clue linking the game to the mysterious castle on the island of Immeter, she must figure out how to find the perimeter and area of a circle to unlock the island's secret. Fans will love cracking the code with Per and the gang in this new installment of the Sir Cumference series that makes math fun and accessible for all.
Sir Cumference and the Off-the-Charts Dessert (Sir Cumference)
by Cindy NeuschwanderJoin Sir Cumference and the gang for more wordplay, puns, and problem solving in the clever math adventure that introduces readers to charts and graphs through an annual bake-off. Sir Cumference and Lady Di need a baker to prepare a special dessert for the annual Harvest Faire. Two bakers compete to see whose dessert is most popular. When Pia of Chartres and Bart Graf have trouble keeping track of the votes their desserts receive, they each develop a better system. Pia places a colored candy around the edges of a pie dough (like a pie chart), and Bart stacks up cookie tins (making a 3D bar graph). When there's a tie, the two chefs cook up a hybrid dessert just in time for the Faire. Puns--both literal and visual--abound in this fun adventure story with beloved characters and a solid pedagogical foundation.
Sir Cumference and the Roundabout Battle (Sir Cumference)
by Cindy NeuschwanderJoin Sir Cumference and the gang for more wordplay, puns, and problem solving in the clever math adventure that introduces readers to the concept of rounding numbers. When Steward Edmund Rounds and Sir Cumference notice that there are strangers camped nearby, Rounds II decides to investigate despite being involved with the task of learning how to make accurate counts of the castle's stores of food, supplies, and weaponry. When he reports back that an enemy is lying in wait, everyone moves quickly to defend the castle. But wait! Will Rounds II be able to figure out how many bows and arrows they have to create an appropriate battle plan? Using rounding techniques to figure out the totals more quickly, Rounds II is just in time to help stave off a potentially disastrous attack. Readers will love making the rounds with Rounds II and the gang in this new installment of the Sir Cumference series that makes math fun and accessible for all.
Sir Cumference and the Sword in the Cone (Sir Cumference)
by Cindy NeuschwanderA funny and pun-filled retelling of &“The Sword and Stone&” that introduces readers to mathematical angles. King Arthur has hidden his sword, Edgecalibur and issued a challenge to the knights. The first knight to find the sword will be the next king. Can Sir Cumference and Lady Di point Radius's best friend, Vertex in the right direction? Will Vertex's sharp thinking give him the edge?Join Sir Cumference, Lady Di of Ameter, and their son, Radius, in this new adventure where they race to help Vertex find the sword and discover the secrets of cubes, pyramids, cylinders, and cones.
Sir Cumference and the Viking Map (Sir Cumference Ser.)
by Cindy NeuschwanderFor fans of the Sir Cumference series with coordinate geometry on their mind, here is the seventh installment in this fun look at math and language. <P><P>While riding through the forests of Angleland, cousins Per and Radius realize they are lost and are desperate for a map to guide them home. Soon they come across a mysterious house in the hills. Inside they find a map to a treasure belonging to Xaxon Yellowbearyd, the fiercest Viking warrior of his time. Per and Radius must decode the strange numbered grid on the map, while trying to steer clear of the pack of bungling bandits who are on their tail. Will they find the treasure in time? <P><P>Cindy Neuschwander delivers yet another intriguing math adventure featuring the well-known characters of Angleland. Readers will enjoy following Per and Radius in their quest while learning how coordinate geometry relates to everyday life. Wayne Geehan’s beautiful illustrations offer a bit of comic relief, while also clearly demonstrating the concepts explored in the story.
Sir Cumference and the Viking's Map (Sir Cumference)
by Cindy NeuschwanderFor fans of the Sir Cumference series with coordinate geometry on their mind, here is the seventh installment in this fun look at math and language. While riding through the forests of Angleland, cousins Per and Radius realize they are lost and are desperate for a map to guide them home. Soon they come across a mysterious house in the hills. Inside they find a map to a treasure belonging to Xaxon Yellowbearyd, the fiercest Viking warrior of his time. Per and Radius must decode the strange numbered grid on the map, while trying to steer clear of the pack of bungling bandits who are on their tail. Will they find the treasure in time?Cindy Neuschwander delivers yet another intriguing math adventure featuring the well-known characters of Angleland. Readers will enjoy following Per and Radius in their quest while learning how coordinate geometry relates to everyday life. Wayne Geehan&’s beautiful illustrations offer a bit of comic relief, while also clearly demonstrating the concepts explored in the story.
Sir Cumference Gets Decima's Point (Sir Cumference)
by Cindy NeuschwanderPart of the popular Sir Cumference series! Baker Pia is back with a handy way of counting by tens and fractions in this fun introduction to the decimal system.This time the focus is back on Pia of Chartres from Sir Cumference and the Off-the-Charts Dessert. She is kidnapped by a family of ogres--Tentt, the father, Hoondrit, the mother, and their ten daughters, Una to Decima. Pia is asked to help the ogres prepare a feast for a large celebration, which will involve tens, hundreds, even thousands of pieces of dessert! Readers will learn about place value and the decimal system of notation in this latest medieval math adventure. The endnote includes a diagram with place names.
Sir Cumference Speaks Volumes (Sir Cumference)
by Cindy NeuschwanderMedieval math favorites Sir Cumference and Lady Di of Ameter learn a method to calculate volume in this adventure story introduction to a math curriculum staple.While on horseback, Sir Cumference hears news about an impending snow siege from a young countryman named Volomo Longitudo Latitudo Altitudo. Volomo invites Sir Cumference in and shows him a nifty method for storing grains so that the harvest is easily countable and stackable. At the castle, Sir Cumference and Lady Di open their doors for people to seek shelter during the blizzard. But when they run out of food, Sir Cumference and Lady Di must use Volomo's method to measure how much grain they need to feed everyone.This thirteenth book in the Sir Cumference series teaches solid math skills with clever problem-solving.
Sir Isaac Newton: A Brief Account of His Life and Work (Routledge Revivals)
by S. BrodetskyOriginally published in 1927 this book presents the main features of Newton’s life and his chief contributions to scientific knowledge. It gives the non-scientist, as well as the specialist, an insight into the life, personality and achievements of one of England’s greatest scientists and polymaths.