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Morrey Spaces: Introduction and Applications to Integral Operators and PDE’s, Volume I (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)
by Yoshihiro SawanoMorrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial differential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial differential equations and mathematical physics. Across two volumes, the authors of Morrey Spaces: Introduction and Applications to Integral Operators and PDE’s discuss the current state of art and perspectives of developments of this theory of Morrey spaces, with the emphasis in Volume I focused mainly on harmonic analysis. Features Provides a ‘from-scratch’ overview of the topic readable by anyone with an understanding of integration theory Suitable for graduate students, masters course students, and researchers in PDE's or Geometry Replete with exercises and examples to aid the reader’s understanding
Morrey Spaces: Introduction and Applications to Integral Operators and PDE’s, Volume II (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)
by Yoshihiro Sawano Giuseppe Di Fazio Denny Ivanal HakimMorrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial differential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial differential equations and mathematical physics. Across two volumes, the authors of Morrey Spaces: Introduction and Applications to Integral Operators and PDE’s discuss the current state of art and perspectives of developments of this theory of Morrey spaces, with the emphasis in Volume II focused mainly generalizations and interpolation of Morrey spaces. Features Provides a ‘from-scratch’ overview of the topic readable by anyone with an understanding of integration theory Suitable for graduate students, masters course students, and researchers in PDE's or Geometry Replete with exercises and examples to aid the reader’s understanding
Morrey Spaces: Introduction and Applications to Integral Operators and PDE’s, Volumes I & II (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)
by Yoshihiro Sawano Giuseppe Di Fazio Denny Ivanal HakimMorrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial differential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial differential equations and mathematical physics. Across two volumes, the authors of Morrey Spaces: Introduction and Applications to Integral Operators and PDE’s discuss the current state of art and perspectives of developments of this theory of Morrey spaces, with focus on harmonic analysis in volume I and generalizations and interpolation of Morrey spaces in volume II. Features Provides a ‘from-scratch’ overview of the topic readable by anyone with an understanding of integration theory Suitable for graduate students, masters course students, and researchers in PDE's or Geometry Replete with exercises and examples to aid the reader’s understanding
Morse Theory and Floer Homology
by Michèle Audin Mihai DamianThis book is an introduction to modern methods of symplectic topology. It is devoted to explaining the solution of an important problem originating from classical mechanics: the 'Arnold conjecture', which asserts that the number of 1-periodic trajectories of a non-degenerate Hamiltonian system is bounded below by the dimension of the homology of the underlying manifold. The first part is a thorough introduction to Morse theory, a fundamental tool of differential topology. It defines the Morse complex and the Morse homology, and develops some of their applications. Morse homology also serves a simple model for Floer homology, which is covered in the second part. Floer homology is an infinite-dimensional analogue of Morse homology. Its involvement has been crucial in the recent achievements in symplectic geometry and in particular in the proof of the Arnold conjecture. The building blocks of Floer homology are more intricate and imply the use of more sophisticated analytical methods, all of which are explained in this second part. The three appendices present a few prerequisites in differential geometry, algebraic topology and analysis. The book originated in a graduate course given at Strasbourg University, and contains a large range of figures and exercises. Morse Theory and Floer Homology will be particularly helpful for graduate and postgraduate students.
The Moscow Puzzles: 359 Mathematical Recreations (Dover Recreational Math)
by Boris A. KordemskyThis is, quite simply, the best and most popular puzzle book ever published in the Soviet Union. Since its first appearance in 1956 there have been eight editions as well as translations from the original Russian into Ukrainian, Estonian, Lettish, and Lithuanian. Almost a million copies of the Russian version alone have been sold.Part of the reason for the book's success is its marvelously varied assortment of brainteasers ranging from simple "catch" riddles to difficult problems (none, however, requiring advanced mathematics). Many of the puzzles will be new to Western readers, while some familiar problems have been clothed in new forms. Often the puzzles are presented in the form of charming stories that provide non-Russian readers with valuable insights into contemporary Russian life and customs. In addition, Martin Gardner, former editor of the Mathematical Games Department, Scientific American, has clarified and simplified the book to make it as easy as possible for an English-reading public to understand and enjoy. He has been careful, moreover, to retain nearly all the freshness, warmth, and humor of the original.Lavishly illustrated with over 400 clear diagrams and amusing sketches, this inexpensive edition of the first English translation will offer weeks or even months of stimulating entertainment. It belongs in the library of every puzzlist or lover of recreational mathematics.
A Most Elegant Equation: Euler's Formula and the Beauty of Mathematics
by David StippAn award-winning science writer introduces us to mathematics using the extraordinary equation that unites five of mathematics' most important numbersBertrand Russell wrote that mathematics can exalt "as surely as poetry." This is especially true of one equation: ei(pi) + 1 = 0, the brainchild of Leonhard Euler, the Mozart of mathematics. More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections. It ties together everything from basic arithmetic to compound interest, the circumference of a circle, trigonometry, calculus, and even infinity. In David Stipp's hands, Euler's identity formula becomes a contemplative stroll through the glories of mathematics. The result is an ode to this magical field.
Mostly Harmless Econometrics: An Empiricist's Companion
by Joshua D. Angrist Jörn-Steffen PischkeFrom Joshua Angrist, winner of the Nobel Prize in Economics, and Jörn-Steffen Pischke, an irreverent guide to the essentials of econometricsThe core methods in today's econometric toolkit are linear regression for statistical control, instrumental variables methods for the analysis of natural experiments, and differences-in-differences methods that exploit policy changes. In the modern experimentalist paradigm, these techniques address clear causal questions such as: Do smaller classes increase learning? Should wife batterers be arrested? How much does education raise wages? Mostly Harmless Econometrics shows how the basic tools of applied econometrics allow the data to speak.In addition to econometric essentials, Mostly Harmless Econometrics covers important new extensions—regression-discontinuity designs and quantile regression—as well as how to get standard errors right. Joshua Angrist and Jörn-Steffen Pischke explain why fancier econometric techniques are typically unnecessary and even dangerous. The applied econometric methods emphasized in this book are easy to use and relevant for many areas of contemporary social science.An irreverent review of econometric essentialsA focus on tools that applied researchers use mostChapters on regression-discontinuity designs, quantile regression, and standard errorsMany empirical examplesA clear and concise resource with wide applications
Mothers in the Labor Market
by José Alberto MolinaThis book describes the social and economic issues that emerge from mothers in labor markets. It provides insight in what the quantitative effect of motherhood on the decline in mothers’ earnings is, and how things differ for mothers with lower income and lower levels of education. It also sheds light on how this effect varies for different countries and/or cultural areas, and what the impact of socio-economic policies on mothers’ labor supply is and how it changes in different family contexts. The book covers topics such as labor participation and hours of work, paid-work and home production, flexibility and work from home, self-employment and entrepreneurship, fertility and maternity leave, wage-penalty and career interruption, labor supply and childcare, gender norms and cultural issues, intra-household wage inequality and much more. This book provides an interesting read to economists, social scientists, policy makers and HR managers and all those interested in the subject.
Motion Analysis of Soccer Ball: Dynamics Modeling, Optimization Design and Virtual Simulation (SpringerBriefs in Applied Sciences and Technology)
by Ying LiThe intelligent sports analysis of a soccer ball (also known as football, football ball, or association football ball) requires accurately simulating its motion and finding the best design parameters. Employing classic mechanics, this book establishes a fundamental framework for the soccer ball multi-body dynamics modeling, virtual prototype simulation and optimization design. It presents 3D virtual prototypes to predict the soccer ball trajectory for soccer players and trainers. Five typical case studies have addressed in the kinematics and dynamics simulations of soccer ball projectile motion, free kick, and corner kick in the virtual environment. The research on multi-body dynamics models provides a useful method for engineers and scientists to investigate the spatial kinematics and dynamics performances of various balls, such as soccer ball, gulf ball, American football, etc. The book is significant to guide undergraduate and graduate students from multi-disciplines to study system dynamics and optimization design.
Motion and Genetic Definitions in the Sixteenth-Century Euclidean Tradition (Frontiers in the History of Science)
by Angela AxworthyA significant number of works have set forth, over the past decades, the emphasis laid by seventeenth-century mathematicians and philosophers on motion and kinematic notions in geometry. These works demonstrated the crucial role attributed in this context to genetic definitions, which state the mode of generation of geometrical objects instead of their essential properties. While the growing importance of genetic definitions in sixteenth-century commentaries on Euclid’s Elements has been underlined, the place, uses and status of motion in this geometrical tradition has however never been thoroughly and comprehensively studied. This book therefore undertakes to fill a gap in the history of early modern geometry and philosophy of mathematics by investigating the different treatments of motion and genetic definitions by seven major sixteenth-century commentators on Euclid’s Elements, from Oronce Fine (1494–1555) to Christoph Clavius (1538–1612), including Jacques Peletier (1517–1582), John Dee (1527–1608/1609) and Henry Billingsley (d. 1606), among others. By investigating the ontological and epistemological conceptions underlying the introduction and uses of kinematic notions in their interpretation of Euclidean geometry, this study displays the richness of the conceptual framework, philosophical and mathematical, inherent to the sixteenth-century Euclidean tradition and shows how it contributed to a more generalised acceptance and promotion of kinematic approaches to geometry in the early modern period.
MOTION, CONTROL, AND GEOMETRY: Proceedings of a Symposium
by Board on Mathematical SciencesProceedings of a Symposium on Motion, Control, and Geometry
The Motion Paradox
by Joseph MazurThe epic tale of an ancient, unsolved puzzle and how it relates to all scientific attempts to explain the basic structure of the universe At the dawn of science the ancient Greek philosopher Zeno formulated his paradox of motion, and amazingly, it is still on the cutting edge of all investigations into the fabric of reality. Zeno used logic to argue that motion is impossible, and at the heart of his maddening puzzle is the nature of space and time. Is space-time continuous or broken up like a string of beads? Over the past two millennia, many of our greatest minds-including Aristotle, Galileo, Newton, Einstein, Stephen Hawking, and other current theoreticians-have been gripped by the mystery this puzzle represents. Joseph Mazur, acclaimed author of Euclid in the Rainforest, shows how historic breakthroughs in our understanding of motion shed light on Zeno's paradox. The orbits of the planets were explained, the laws of motion were revealed, the theory of relativity was discovered-but the basic structure of time and space remained elusive. In the tradition of Fermat's Enigma and Zero, The Motion Paradox is a lively history of this apparently simple puzzle whose solution-if indeed it can be solved-will reveal nothing less than the fundamental nature of reality.
Motions of Ice Hydrometeors in the Atmosphere: Numerical Studies and Implications (Atmosphere, Earth, Ocean & Space)
by Pao K. WangThis book summarizes unique research findings on the hydrodynamic behavior of ice particles (ice crystals, snow, graupel and hailstones) in the atmosphere. The fall behavior of ice hydrometeors determines how and how fast a mixed-phase cloud can grow or dissipate. The book discusses how the authors used computational fluid dynamics (CFD) methods and numerical simulations to determine these behaviors, and presents these computations along with numerous detailed tables and illustrations of turbulent flow fields. It also examines the implications of the results for the general atmospheric sciences as well as for climate science (since the cloud problem is the source of the greatest uncertainty in model-based climate predictions). As such it allows readers to gain a clear and comprehensive understanding of how particles fall in clouds and offers insights into cloud physics and dynamics and their impact on the climate..
Motivation Math Level 4 Texas
by Mentoring Minds Lp.Mentoring Minds' Motivation Math supplemental curriculum integrates critical thinking and process skills with classroom instruction.
Motivation MATH Level 5 Student Edition
by Mentoring MindsThis book contains a wealth of resources to motivate students to learn math at level 5.
Motivation MATH Level 5 TEKS--Based Alignment to STAAR® Student Edition
by MentoringmindsMath Textbook for 5th Grade Test Prep
Motivation Math, Level 6
by The Editors at Mentoring MindsCritical Thinking for Life! 6th grade Math test prep for TEKS
Motivational Profiles in TIMSS Mathematics: Exploring Student Clusters Across Countries and Time (IEA Research for Education #7)
by Gavin T. Brown Michalis P. Michaelides Hanna Eklöf Elena C. PapanastasiouThis open access book presents a person-centered exploration of student profiles, using variables related to motivation to do school mathematics derived from the IEA’s Trends in International Mathematics and Science Study (TIMSS) data. Statistical cluster analysis is used to identify groups of students with similar motivational profiles, across grades and over time, for multiple participating countries.While motivational variables systematically relate to school outcomes, linear relationships can obscure the diverse makeup of student subgroups, each with varying combinations of motivation, emotions, and attitudes. In this book, a person-centered analysis of distinct and meaningful motivational profiles and their differences on sociodemographic variables and mathematics performance broadens understanding about the role that motivation characteristics play in learning and achievement in mathematics. Exploiting the richness of IEA’s TIMSS data from many countries, extracted clusters reveal consistent, as well as certain nuanced patterns that are systematically linked to sociodemographic and achievement measures. Student clusters with inconsistent motivational profiles were found in all countries; mathematics self-confidence then emerged as the variable more closely associated with average achievement. The findings demonstrate that teachers, researchers, and policymakers need to take into account differential student profiles, prioritizing techniques that target skill and competence in mathematics, in educational efforts to develop student motivation.
Motivationale Aspekte mathematischer Lernprozesse: Eine Untersuchung zu professionellen Kompetenzen der Motivationsförderung im Mathematikunterricht (Bielefelder Schriften zur Didaktik der Mathematik #7)
by Maximilian HettmannIn diesem Open-Access-Buch werden professionelle Kompetenzen von angehenden Mathematiklehrkräften untersucht, die sie zur Förderung des Mathematiklernens und zur Motivationsförderung von Schüler*innen mit Lernschwierigkeiten benötigen. Dazu werden zunächst Grundsätze der Förderung dieser Schüler*innengruppe formuliert und, unter Berücksichtigung der Forschung zu professionellen Kompetenzen von Lehrkräften, ein Modell der professionellen Kompetenz, motiviertes Lernen zu fördern, entwickelt. In zwei Studien wird die Entwicklung der Kompetenzfacetten im Rahmen einer universitären Veranstaltung mit Praxisphase betrachtet und ein systematischer Einblick in die, in der Praxisphase gezeigte, Unterstützungspraxis der angehenden Lehrkräfte gegeben.
Motivic Integration (Progress In Mathematics Ser. #325)
by Johannes Nicaise Antoine Chambert-Loir Julien SebagThis monograph focuses on the geometric theory of motivic integration, which takes its values in the Grothendieck ring of varieties. This theory is rooted in a groundbreaking idea of Kontsevich and was further developed by Denef & Loeser and Sebag. It is presented in the context of formal schemes over a discrete valuation ring, without any restriction on the residue characteristic. The text first discusses the main features of the Grothendieck ring of varieties, arc schemes, and Greenberg schemes. It then moves on to motivic integration and its applications to birational geometry and non-Archimedean geometry. Also included in the work is a prologue on p-adic analytic manifolds, which served as a model for motivic integration. With its extensive discussion of preliminaries and applications, this book is an ideal resource for graduate students of algebraic geometry and researchers of motivic integration. It will also serve as a motivation for more recent and sophisticated theories that have been developed since.
Mount Rushmore of the New York Mets: The Best Players by Decade to Wear the Orange and Blue
by Brett TopelMount Rushmore, located in the Black Hills of Keystone, South Dakota, is one of the most iconic landmarks in the United States. The face of the mountain features 60-foot heads of Presidents George Washington, Thomas Jefferson, Theodore Roosevelt, and Abraham Lincoln. It depicts four of the greatest men our country has ever known. In recent years, it has become fashionable for sports fans to select the Mount Rushmore of their franchise&’s history. For some franchise&’s, which have been around for 100+ years, it can be a daunting task. Even for younger franchises, such as the New York Mets, picking a Mount Rushmore can be a challenge. Mostly because fans always seem to favor players that they have seen play—leading older and younger fans to differ on who belongs carved on that fictional mountain in Queens. In 2015, Major League Baseball announced its decision for each team&’s Mount Rushmore. For the Mets, voters chose Keith Hernandez, Mike Piazza, Tom Seaver, and David Wright. No one would argue that Tom Seaver is on the franchise&’s Mount Rushmore. He was, after all, &“The Franchise.&” Some might even argue that the Mets&’ Mount Rushmore is Tom Seaver four times! However, that not-withstanding, when it comes to rounding out the other three players, did MLB get it right?? Thankfully, Mount Rushmore of the New York Mets tackles such a question. Covering the team by decade, author Brett Topel share the best players from the team&’s almost sixty-year history. From Jerry Koosman and Ed Kranepool, Dwight Gooden and Darryl Strawberry, to Edgardo Alfonzo and Jose Reyes, each decade is covered, reliving the highs and lows of the Metropolitans. So whether you remember the Miracle Mets, the Amazin&’ run of 1986, or the almost of the 2000s, Mount Rushmore of the New York Mets breaks down the fan favorites who earned their prominence in the Polo Grounds, Shea Stadium, and Citi Field.
Mouvement brownien, martingales et calcul stochastique
by Jean-Francois Le GallCet ouvrage propose une approche concise mais complète de la théorie de l'intégrale stochastique dans le cadre général des semimartingales continues. Après une introduction au mouvement brownien et à ses principales propriétés, les martingales et les semimartingales continues sont présentées en détail avant la construction de l'intégrale stochastique. Les outils du calcul stochastique, incluant la formule d'Itô, le théorème d'arrêt et de nombreuses applications, sont traités de manière rigoureuse. Le livre contient aussi un chapitre sur les processus de Markov et un autre sur les équations différentielles stochastiques, avec une preuve détaillée des propriétés markoviennes des solutions. De nombreux exercices permettent au lecteur de se familiariser avec les techniques du calcul stochastique. This book offers a rigorous and self-contained approach to the theory of stochastic integration and stochastic calculus within the general framework of continuous semimartingales. The main tools of stochastic calculus, including Itô's formula, the optional stopping theorem and the Girsanov theorem are treated in detail including many important applications. Two chapters are devoted to general Markov processes and to stochastic differential equations, with a complete derivation of Markovian properties of solutions in the Lipschitz case. Numerous exercises help the reader to get acquainted with the techniques of stochastic calculus.