Gravitational Lensing and Optical Geometry
The year 2019 saw the centenary of Eddington's eclipse expeditions and the corroboration of Einstein's general relativity by gravitational lensing. To mark the occasion, a Special Issue of Universe has been dedicated to the theoretical aspects of strong gravitational lensing. The articles assembled in this volume contain original research and reviews and apply a variety of mathematical techniques that have been developed to study this effect, both in 3-space and in spacetime. These include: - Mathematical properties of the standard thin lens approximation, in particular caustics; - Optical geometry, the Gauss-Bonnet method and related approaches; - Lensing in the spacetime of general relativity and modified theories; black hole shadows.
Mathematische Modelle zur Beschreibung des Backprozesses von Brot. Eine Literatur羹bersicht
Masterarbeit aus dem Jahr 2020 im Fachbereich Mathematik - Angewandte Mathematik, Note: 2, Universit瓣t Hohenheim, Sprache: Deutsch, Abstract: In diese Masterarbeit wurden mathematische und experimentale Modelle des Backprozesses von Brot (eine Literatur羹bersicht) betrachtet und drei verschiedene Backtechniken (Mikrowelle, konventioneller bzw. normaler Backofen und Hei?dampfofen) miteinander verglichen. Dazu wurden verschiedene Parameter wie Farbe, Volumen, Feuchtigkeit und Krustendicke w瓣hrend des Backprozesses von Brot untersucht und auch die Ergebnisse von drei verschiedenen Backtechniken zusammengefasst. Bei Mikrowellenstrahlung f羹hrten wegen der ver瓣nderten W瓣rme und der viel k羹rzeren Backzeiten zu einem krustenlosen Brot. Die Dicke und Farbe des Krustenbereichs nahm mit der Backzeit zu. Auch nahmen die Volumen des Brotes mit der Zeit zu. Die Modellvorhersagen lassen sich gut mit den experimentellen Daten vergleichen. Schlie?lich f羹hrt das Backen von Brot mit dem tativ hochwertigerem Brot in Bezug auf den Feuchtigkeitsgehalt, die Farbe und die Textureigenschaften.
FUN with CALCULUS
It is generally known that for some students, Calculus might be a hard subject. This book provides students with a tool to improve their knowledge in Calculus; this is done in a light hearted manner in order to help students having fun while practicing Calculus. The chapters are: Functions, Limits, Derivatives, Integrals. The questions to be answered in this book come from general knowledge regarding different fields, such as: the Roman Empire, cars, animals, mountains, Apollo missions to the Moon, and architecture. This, in turn, will refresh some of the knowledge the students acquired in Science and Social Studies, and hopefully make studying easier and fun.
Multivariate Approximation for solving ODE and PDE
This book presents collective works published in the recent Special Issue (SI) entitled "Multivariate Approximation for Solving ODE and PDE". These papers describe the different approaches and related objectives in the field of multivariate approximation. The articles in fact present specific contents of numerical methods for the analysis of the approximation, as well as the study of ordinary differential equations (for example oscillating with delay) or that of partial differential equations of the fractional order, but all linked by the objective to present analytical or numerical techniques for the simplification of the study of problems involving relationships that are not immediately computable, thus allowing to establish a connection between different fields of mathematical analysis and numerical analysis through different points of view and investigation. The present contents, therefore, describe the multivariate approximation theory, which is today an increasingly active research area that deals with a multitude of problems in a wide field of research. This book brings together a collection of inter-/multi-disciplinary works applied to many areas of applied mathematics in a coherent manner.
Sports & Mathematics
Sports and Mathematics The universal popularity of sports has inspired a goldmine of interesting examples for mathematicians, sport fans, and for the teaching and learning. Sports provide an inexhaustible source of fascinating and challenging problems. Today most sports can be studied from a mathematical perspective to valid quantitative results. Mathematical methods are applied to estimate an athlete's chances of success, identify the best training conditions, and to measure their effectiveness. Applied probability and statistics has been instrumental in analysis of vast amount of sport data available. Probabilistic Monte Carlo method are used for simulation model. In fact, it is generally recognized that the use of sports marks an exciting new direction in teaching and learning mathematics and related subjects. With the present state of education, ideas that connect mathematics to popular activities like sports is much needed. The goal of this book is to find a way to delight sport lovers about mathematics and mathematicians about sports to help them to see their connections. Its hope is to bring a variety of applications within the reach of sport fans with some mathematics background or interests.
Sports & Mathematics
Sports and Mathematics The universal popularity of sports has inspired a goldmine of interesting examples for mathematicians, sport fans, and for the teaching and learning. Sports provide an inexhaustible source of fascinating and challenging problems. Today most sports can be studied from a mathematical perspective to valid quantitative results. Mathematical methods are applied to estimate an athlete's chances of success, identify the best training conditions, and to measure their effectiveness. Applied probability and statistics has been instrumental in analysis of vast amount of sport data available. Probabilistic Monte Carlo method are used for simulation model. In fact, it is generally recognized that the use of sports marks an exciting new direction in teaching and learning mathematics and related subjects. With the present state of education, ideas that connect mathematics to popular activities like sports is much needed. The goal of this book is to find a way to delight sport lovers about mathematics and mathematicians about sports to help them to see their connections. Its hope is to bring a variety of applications within the reach of sport fans with some mathematics background or interests.
Nonlinear Water Waves
The motion of water is governed by a set of mathematical equations which are extremely complicated and intractable. This is not surprising when one considers the highly diverse and intricate physical phenomena which may be exhibited by a given body of water. Recent mathematical advances have enabled researchers to make major progress in this field, reflected in the topics featured in this volume. Cutting-edge techniques and tools from mathematical analysis have generated strong rigorous results concerning the qualitative and quantitative physical properties of solutions of the governing equations. Furthermore, accurate numerical computations of fully-nonlinear steady and unsteady water waves in two and three dimensions have contributed to the discovery of new types of waves. Model equations have been derived in the long-wave and modulational regime using Hamiltonian formulations and solved numerically. This book brings together interdisciplinary researchers working in the field of nonlinear water waves, whose contributions range from survey articles to new research results which address a variety of aspects in nonlinear water waves. It is motivated by a workshop which was organised at the Erwin Schr繹dinger International Institute for Mathematics and Physics in Vienna, November 27-December 7, 2017. The key aim of the workshop was to describe, and foster, new approaches to research in this field. This is reflected in the contents of this book, which is aimed to stimulate both experienced researchers and students alike.
Mathematisches Modellieren
Das Buch richtet sich an Studierende und Lehrende des Lehramts der Sekundarstufe sowie an Lehrerinnen und Lehrer der Sekundarstufe. Es baut auf Grundkenntnissen in der Analysis und der Linearen Algebra, wie sie gew繹hnlich in den ersten Semestern des Studiengangs erworben werden, auf und kn羹pft an typische Modellierungsaufgaben aus der Schulpraxis an. Hierbei werden besonders bedeutende, historisch interessante oder 瓣sthetisch ansprechende mathematische Modelle unterschiedlicher Bezugswissenschaften zusammen mit der daf羹r ben繹tigten mathematischen Theorie entwickelt und dargestellt. Dabei erfolgt die n繹tige Theorieentwicklung immer in enger Verzahnung mit den betrachteten mathematischen Modellen. Typische Vorgehensweisen des Modellierens, wie Dimensionsanalysen, Vereinfachung durch Linearisierung, Isolierung verschiedener Effekte und Vernachl瓣ssigung kleiner Effekte, werden im Verlauf der Darstellung immer wieder aufgegriffen. Auf diese Weise erm繹glicht das Werk Lehrkr瓣ften einen fachlich "h繹heren Standpunkt" zu den schulischen M繹glichkeiten und Anforderungen des Mathematischen Modellierens.
Combinatorics and Finite Geometry
This undergraduate textbook is suitable for introductory classes in combinatorics and related topics. The book covers a wide range of both pure and applied combinatorics, beginning with the very basics of enumeration and then going on to Latin squares, graphs and designs. The latter topic is closely related to finite geometry, which is developed in parallel. Applications to probability theory, algebra, coding theory, cryptology and combinatorial game theory comprise the later chapters. Throughout the book, examples and exercises illustrate the material, and the interrelations between the various topics is emphasized. Readers looking to take first steps toward the study of combinatorics, finite geometry, design theory, coding theory, or cryptology will find this book valuable. Essentially self-contained, there are very few prerequisites aside from some mathematical maturity, and the little algebra required is covered in the text. The book is also a valuable resource for anyone interested in discrete mathematics as it ties together a wide variety of topics.
Vom Spiegel Des Universums
竄Alle Formeln und Resultate sind fertig, nur den Weg muss ich noch finden, auf dem ich zu ihnen gelangen werde罈, soll Gau? einmal gesagt haben. Um den Weg, um die vielen Wege zu den Formeln und Resultaten der Mathematik, geht es in diesem Buch. Geboren aus der Lust am Wissen, gen瓣hrt von der Naturphilosophie, begrenzt nur von den Grenzen des Denkens, stellt die Mathematik dessen Werkzeug und Gegenstand dar. Wir folgen ihren Spuren von der Antike bis in unsere Tage. In acht Kapiteln f羹hrt das Buch durch zweitausend Jahre Wissenschaft von den Zahlen, den Figuren, den Gleichungen, von Differential und Integral, vom Zufall, von den R瓣umen, den Mengen und den logischen Schl羹ssen.
Assouad Dimension and Fractal Geometry
The Assouad dimension is a notion of dimension in fractal geometry that has been the subject of much interest in recent years. This book, written by a world expert on the topic, is the first thorough account of the Assouad dimension and its many variants and applications in fractal geometry and beyond. It places the theory of the Assouad dimension in context among up-to-date treatments of many key advances in fractal geometry, while also emphasising its diverse connections with areas of mathematics including number theory, dynamical systems, harmonic analysis, and probability theory. A final chapter detailing open problems and future directions for research brings readers to the cutting edge of this exciting field. This book will be an indispensable part of the modern fractal geometer's library and a valuable resource for pure mathematicians interested in the beauty and many applications of the Assouad dimension.
Progress in Differential-Algebraic Equations II
This book contains articles presented at the 9th Workshop on Differential-Algebraic Equations held in Paderborn, Germany, from 17-20 March 2019. The workshop brought together more than 40 mathematicians and engineers from various fields, such as numerical and functional analysis, control theory, mechanics and electromagnetic field theory. The participants focussed on the theoretical and numerical treatment of "descriptor" systems, i.e., differential-algebraic equations (DAEs).The book contains 14 contributions and is organized into four parts: mathematical analysis, numerics and model order reduction, control as well as applications. It is a useful resource for applied mathematicians with interest in recent developments in the field of differential algebraic equations but also for engineers, in particular those interested in modelling of constraint mechanical systems, thermal networks or electric circuits.
Train Your Brain
This accessible book helps readers to see the bigger picture of advanced mathematics. The book contains carefully selected, challenging problems in an easy-to-follow, step-by-step process. Neither prior preparation nor any mathematical sophistication is required. The authors guide the reader to "train their brain" to think and express themselves in a rigorous, mathematical way, and to extract facts, analyze the problem, and identify main challenges. A firm foundation in a diverse range of topics is presented. Moreover, the authors show how to draw appropriate, true conclusions. Computer support is used to better intuition into discussed problems. The book is designed for self-study. It can be used to bridge the gap between introductory calculus/linear algebra courses and more advanced courses offered at universities. It improves the ability to read, write, and think in a rigorous, mature mathematical fashion. The reader will develop a deeper understanding in preparation to succeed in more advanced course work. Features-The authors employ a six-step process: 1.SOURCE2.PROBLEM3.THEORY4.SOLUTION5.REMARK6.EXERCISES -An Appendix introduces programming in Julia This book is also suitable for high school students that are interested in competing in math competitions or simply for people of all ages and backgrounds who want to expand their knowledge and to challenge themselves with interesting questions.
Sequents and TreesAn Introduction to the Theory and Applications of Propositional Sequent Calculi
This textbook offers a detailed introduction to the methodology and applications of sequent calculi in propositional logic. Unlike other texts concerned with proof theory, emphasis is placed on illustrating how to use sequent calculi to prove a wide range of metatheoretical results. The presentation is elementary and self-contained, with all technical details both formally stated and also informally explained. Numerous proofs are worked through to demonstrate methods of proving important results, such as the cut-elimination theorem, completeness, decidability, and interpolation. Other proofs are presented with portions left as exercises for readers, allowing them to practice techniques of sequent calculus.After a brief introduction to classical propositional logic, the text explores three variants of sequent calculus and their features and applications. The remaining chapters then show how sequent calculi can be extended, modified, andapplied to non-classical logics, including modal, intuitionistic, substructural, and many-valued logics.Sequents and Trees is suitable for graduate and advanced undergraduate students in logic taking courses on proof theory and its application to non-classical logics. It will also be of interest to researchers in computer science and philosophers.
Discrete Mathematics for Computer Science
This book is intended for a first or second-year discrete mathematics course for computer science majors. It covers many important mathematical topics essential for future computer science majors, such as algorithms, number representations, logic, set theory, Boolean algebra, functions, combinatorics etc.
Train Your Brain
The book contains selected problems aimed for high school students that are interested in competing in math competitions or simply for people of all ages and backgrounds who want to expand their knowledge and to challenge themselves with interesting questions.
Grundlegende Begriffe Der Mathematik: Entstehung Und Entwicklung
Dieses Buch widmet sich ausgew瓣hlten grund-legenden Begriffen, und zwar im Zusammenhang mit fundamentalen Ideen, beschr瓣nkt auf Struktur (Logik, Mengen, Axiomatik, algebraische Strukturen, Gleichungen), Funktion (verallgemeinert: Relation) und Zahl (von den Anf瓣ngen 羹ber Br羹che, Bruchzahlen, nat羹rliche Zahlen bis hin zu reellen Zahlen und Quaternionen). Ziel ist, solche grundlegenden Aspekte bewusst zu reflektieren und zu vertiefen. Das Buch ist daher sowohl f羹r Lehramtsstudierende als auch f羹r Lehrende eine wertvolle Erg瓣nzung zum 羹blichen Fachwissen. Zus瓣tzlich wird dies unterst羹tzt durch die reiche Bebilderung und zahlreiche Aufgaben mit L繹sungsvorschl瓣gen. Wesentliche Grundlage ist dabei die Erfahrung, dass die hier dargestellten grundlegenden Aspekte f羹r ein ertragreiches Unterrichten weder allein aus der Mathematik heraus noch allein aus einer p瓣dagogischen Perspektive heraus vermittelbar sind, sondern dass beide Seiten unter Ber羹cksichtigung der historischen Dimension der Entstehung von Mathematik zusammengeh繹ren. F羹r diese zweite Auflage wurde das Werk nicht nur gr羹ndlich 羹berarbeitet, sondern teilweise erheblich erg瓣nzt, so etwa beim Funktionsbegriff, zugleich um ein neues Kapitel mit Ergebnissen aktueller Untersuchungen zum Gleichungs- und Gleichheitsbegriff erweitert.
Optimal Power Flow Using Facts Devices
The objective of this book is to develop intelligent algorithms for analysing optimal power flow (OPF) and to enhance the power transfer capability of the transmission line with reduced congestion. This book describes the various problems associated with power system operation and controls including soft computing metaheuristics algorithms.
Nonlinear Higher Order Differential and Integral Coupled Systems: Impulsive and Integral Equations on Bounded and Unbounded Domains
Boundary value problems on bounded or unbounded intervals, involving two or more coupled systems of nonlinear differential and integral equations with full nonlinearities, are scarce in the literature. The present work by the authors desires to fill this gap.The systems covered here include differential and integral equations of Hammerstein-type with boundary constraints, on bounded or unbounded intervals. These are presented in several forms and conditions (three points, mixed, with functional dependence, homoclinic and heteroclinic, amongst others). This would be the first time that differential and integral coupled systems are studied systematically.The existence, and in some cases, the localization of the solutions are carried out in Banach space, following several types of arguments and approaches such as Schauder's fixed-point theorem or Guo-Krasnosel'skiĭ fixed-point theorem in cones, allied to Green's function or its estimates, lower and upper solutions, convenient truncatures, the Nagumo condition presented in different forms, the concept of equiconvergence, Carath矇odory functions, and sequences. Moreover, the final part in the volume features some techniques on how to relate differential coupled systems to integral ones, which require less regularity.Parallel to the theoretical explanation of this work, there is a range of practical examples and applications involving real phenomena, focusing on physics, mechanics, biology, forestry, and dynamical systems, which researchers and students will find useful.
Structures of Domination in Graphs
This volume comprises 17 contributions that present advanced topics in graph domination, featuring open problems, modern techniques, and recent results. The book is divided into 3 parts. The first part focuses on several domination-related concepts: broadcast domination, alliances, domatic numbers, dominator colorings, irredundance in graphs, private neighbor concepts, game domination, varieties of Roman domination and spectral graph theory. The second part covers domination in hypergraphs, chessboards, and digraphs and tournaments. The third part focuses on the development of algorithms and complexity of signed, minus and majority domination, power domination, and alliances in graphs. The third part also includes a chapter on self-stabilizing algorithms. Of extra benefit to the reader, the first chapter includes a glossary of commonly used terms.The book is intended to provide a reference for established researchers in the fields of domination and graph theory and graduate students who wish to gain knowledge of the topics covered as well as an overview of the major accomplishments and proof techniques used in the field.
An Introduction to Nonautonomous Dynamical Systems and their Attractors
The nature of time in a nonautonomous dynamical system is very different from that in autonomous systems, which depend only on the time that has elapsed since starting rather than on the actual time itself. Consequently, limiting objects may not exist in actual time as in autonomous systems. New concepts of attractors in nonautonomous dynamical system are thus required.In addition, the definition of a dynamical system itself needs to be generalised to the nonautonomous context. Here two possibilities are considered: two-parameter semigroups or processes and the skew product flows. Their attractors are defined in terms of families of sets that are mapped onto each other under the dynamics rather than a single set as in autonomous systems. Two types of attraction are now possible: pullback attraction, which depends on the behaviour from the system in the distant past, and forward attraction, which depends on the behaviour of the system in the distant future. These are generally independent of each other.The component subsets of pullback and forward attractors exist in actual time. The asymptotic behaviour in the future limit is characterised by omega-limit sets, in terms of which form what are called forward attracting sets. They are generally not invariant in the conventional sense, but are asymptotically invariant in general and, if the future dynamics is appropriately uniform, also asymptotically negatively invariant.Much of this book is based on lectures given by the authors in Frankfurt and Wuhan. It was written mainly when the first author held a "Thousand Expert" Professorship at the Huazhong University of Science and Technology in Wuhan.
Abstract Consequence and Logics
Edelcio G. de Souza (University of S瓊o Paulo, Brazil) is a Brazilian logician and philosopher who has researches in the domains of abstract logic, non-classical systems, philosophy of science and the foundations of mathematics. This book is in his honor with the purpose of celebrating his 60th birthday. It contains some articles connected with the above topics and other subjects in logical investigations.
Permutationsgruppen und ihre Darstellungsm繹glichkeiten
Fachbuch aus dem Jahr 2020 im Fachbereich Mathematik - Algebra, Note: 1,0, Universit瓣t Erfurt, Sprache: Deutsch, Abstract: Mit dieser Arbeit soll ein Einblick in die Materie der Permutationsgruppen und der verschiedenen Darstellungsm繹glichkeiten gegeben werden. Mit dessen Hilfe Studierende und Interessenten ihr Wissen 羹ber Permutationsgruppen erweitern bzw. verbessern k繹nnen und g羹nstige Darstellungsmethoden kennenlernen sollen. Diese sollen an bestimmten Beispielen verdeutlicht werden. Im Rahmen einer Vorlesung wurden Grundlagen der Algebra erarbeitet. Unter anderen folgende Themen: algebraische Strukturen, Untergruppen, Faktorgruppen, Nebenklassen und Normalteiler. Sowie der Homomorphiesatz f羹r Gruppen und Operationen von Gruppen auf Mengen. Neben diesen Themen werden auch Permutationen und Permutationsgruppen n瓣her beleuchtet.
That’s Maths II
This collection of mathematical articles covers a broad range of delightful topics in pure and applied mathematics. It is written in an expository style, making it accessible to everyone with a general interest in mathematics. There are articles about renowned mathematicians and about the history of some key ideas in maths. The importance of mathematics in the modern world is illustrated by applications in engineering, technology, astronomy, music and the visual arts. Reading mathematics is best done in small steps. The articles are all short, and they can be read in arbitrary order. Some articles are purely descriptive. Others go deeper and are at a more advanced mathematical level. Approximately half the articles have appeared in the author's regular column "That's Maths" in The Irish Times. Others have been posted to his mathematical blog, thatsmaths.com. All articles have been fully revised for this book. This is the second collection under the rubric "That's Maths". The first collection, published in 2016, was very favourably reviewed. The author has succeeded in bringing out the amazing beauty of mathematics and its utility in so many areas of our lives. The book should be appreciated by anyone with an interest in mathematics and science. In particular, teachers of these subjects, at both school and university level, should find a wealth of material to supplement and invigorate their classes.
Gre Formula Book
GRE Formula Book is an excellent resource for students who are preparing to stand among the top scorers in GRE. This book contains all that you need to know to handle various types of problems in the GRE General Test, Quantitative Reasoning section. GRE Formula Book can be used as a great reference guide to consult while trying to learn various Math concepts tested in the GRE General Test. Whether you consider yourself as a student with weak Math skills or one with strong Math skills, this book will help you understand the concepts in an easy-to-understand manner, often presenting a novel way to look at problems.
Applications of Operational Research and Mathematical Models in Management
This book, Applications of Operational Research and Mathematical Models in Management, includes all the papers published in the Mathematics Special Issue with the same title. All the published papers are of high quality and were subjected to rigorous peer review. Mathematics is included in the Science Citation Index (Web of Science), and its current Impact Factor is 1.747. The papers in this book deal with on R&D performance models, methods for ranking the perspectives and indicators of a balance scorecard, robust optimization model applications, integrated production and distribution problem solving, demand functions, supply chain games, probabilistic optimization and profit research, coordinated techniques for order preference, robustness approaches in bank capital optimization, and hybrid methods for tourism demand forecasting. All the papers included contribute to the development of research.
Diskrete Mathematik Mit Grundlagen
Dieses Lehrbuch wendet sich an Leser ohne Studienvorkenntnisse, gibt eine elementare Einf羹hrung in die Diskrete Mathematik und die Welt des mathematischen Denkens und f羹hrt den Leser auf ein solides Hochschulniveau. Im Einzelnen werden elementare Logik, Mengenlehre, Beweiskonzepte und die mathematische Terminologie daf羹r ausf羹hrlich erkl瓣rt und durch Anwendungsbeispiele motiviert. Darauf aufbauend werden die wichtigsten Disziplinen der Diskreten Mathematik behandelt in einem Umfang, der f羹r jedes MINT-Studium au?er der Mathematik selbst ausreicht. Zahlreiche ?bungsaufgaben runden das Angebot ab, die L繹sungen dazu werden online zur Verf羹gung gestellt. Das Buch ist zum Selbststudium, als Vorlesungsbegleitung und zum Nachschlagen geeignet. Die zweite Auflage wurde vollst瓣ndig 羹berarbeitet. Das Kapitel zur Logik wurde erheblich ausgeweitet, unter anderem durch eine allgemeinverst瓣ndliche Anleitung mit vielen Beispielen, wie Alltagssprache in logische Sprache 羹bersetzt wird.
Metaf穩sica del N繳mero
Colecci籀n Tradici籀n"La Tradici籀n Primordial es el Eje inmutable que refleja en nuestro mundo la Verdad Eterna".Ren矇 Gu矇non.Ren矇 Gu矇non (1886-1951) ha dejado una obra considerable que abarca diecisiete obras publicadas en vida y centenares de art穩culos y recensiones en diversas revistas, entre otras en la revista cat籀lica Regnabit y en Etudes Traditionnelles (anteriormente Le Voile d'/sis) de la cual 矇l fue el inspirador desde 1929. La finalidad el autor al escribir este libro, in矇dito en castellano y publicado por vez primera en 1946, fue principalmente restituir a ciertas nociones matem獺ticas su verdadero sentido metaf穩sico, olvidado por los matem獺ticos actuales, como por lo dem獺s es el caso de diversas ciencias actuales: qu穩mica, f穩sica, etc., las cuales, habiendo perdido el contacto con los principios, se han desarrollado an獺rquica e independientemente. Entre otras cosas, se restituye aqu穩 su aut矇ntico alcance metaf穩sico a la noci籀n de Infinito, negando la noci籀n moderna del pretendido "infinito matem獺tico". El autor se ocup籀 tambi矇n del c獺lculo infinitesimal en sus art穩culos "Observaciones sobre la producci籀n de los n繳meros" y "Observaciones sobre la notaci籀n matem獺tica", posteriormente reunidos en la recopilaci籀n "M矇langes", de pr籀xima publicaci籀n en esta Editorial, as穩 como en el segundo cap穩tulo de la primera parte de Oriente y Occidente.
Judgements and Truth. Essays in Honour of Jan Woleński
Jan Woleński is known due to his works on epistemological aspects of logic and his systematization of semantic truth theory. He became the successor and the worthy continuer of prominent Polish logicians: Alfred Tarski and Kazimierz Ajdukiewicz. This volume is collected on the 80th anniversary of Woleński's birth and draws together new research papers devoted to judgments and truth. These papers take measure of the scope and impact of Woleński's views on truth conceptions, and present new contributions to the field of philosophy and logic.
Partial Differential Equations
Suitable for both senior undergraduate and graduate students, this is a self-contained book dealing with the classical theory of the partial differential equations through a modern approach; requiring minimal previous knowledge. It represents the solutions to three important equations of mathematical physics - Laplace and Poisson equations, Heat or diffusion equation, and wave equations in one and more space dimensions. Keen readers will benefit from more advanced topics and many references cited at the end of each chapter. In addition, the book covers advanced topics such as Conservation Laws and Hamilton-Jacobi Equation. Numerous real-life applications are interspersed throughout the book to retain readers' interest.
Nonlinear Dispersive Partial Differential Equations and Inverse Scattering
This volume contains lectures and invited papers from the Focus Program on "Nonlinear Dispersive Partial Differential Equations and Inverse Scattering" held at the Fields Institute from July 31-August 18, 2017. The conference brought together researchers in completely integrable systems and PDE with the goal of advancing the understanding of qualitative and long-time behavior in dispersive nonlinear equations. The program included Percy Deift's Coxeter lectures, which appear in this volume together with tutorial lectures given during the first week of the focus program. The research papers collected here include new results on the focusing ​nonlinear Schr繹dinger (NLS) equation, the massive Thirring model, and the Benjamin-Bona-Mahoney equation as dispersive PDE in one space dimension, as well as the Kadomtsev-Petviashvili II equation, the Zakharov-Kuznetsov equation, and the Gross-Pitaevskii equation as dispersive PDE in two space dimensions. The Focus Program coincided with the fiftieth anniversary of the discovery by Gardner, Greene, Kruskal and Miura that the Korteweg-de Vries (KdV) equation could be integrated by exploiting a remarkable connection between KdV and the spectral theory of Schrodinger's equation in one space dimension. This led to the discovery of a number of completely integrable models of dispersive wave propagation, including the cubic NLS equation, and the derivative NLS equation in one space dimension and the Davey-Stewartson, Kadomtsev-Petviashvili and Novikov-Veselov equations in two space dimensions. These models have been extensively studied and, in some cases, the inverse scattering theory has been put on rigorous footing. It has been used as a powerful analytical tool to study global well-posedness and elucidate asymptotic behavior of the solutions, including dispersion, soliton resolution, and semiclassical limits.
Fast Track to Differential Equations
This compact introduction to the ordinary differential equations and their applications is aimed at anyone who, in their studies, is confronted voluntarily or involuntarily with this versatile subject. Numerous examples from physics, technology, biomathematics, cosmology, economy and optimization allow a quick and motivating approach - abstract proofs and unnecessary formalism are avoided as far as possible. In the foreground is the modelling of ordinary differential equations of the 1st and 2nd order as well as their analytical and numerical solution methods, in which the theory is briefly dealt with before the application examples. In addition, codes show exemplarily how even more demanding questions can be answered and meaningfully represented with the help of a computer algebra system. In the first chapter the necessary previous knowledge from integral and differential calculus is treated. A large number of exercises including solutions round off the work.
Mathematician, Jr
-Enhance Your Child's Math Skills - If you're a parent who wants their child to love and thrive in math then you need this culturally relevant workbook, Mathematician Jr. Transform your child into a math lover and improve his or her future prospects in work and education-Perfect For Ages 3 - 7 - This super-simplified and fun Math workbook can even be used by non-writers and pre-writers. Packed with age appropriate and fun activities, this workbook includes the historical facts and mental practice your child needs for early mastery of math and critical thinking.-Proven Abacus Method - Your child will achieve math success using the time honored tradition of learning with an abacus. The abacus is the most reliable as well as the oldest math teaching tool. Make math easy for your child by preparing him or her with this proven method for math success.-Easy To Understand - Developed by non-abacus using parents for non-abacus, using parents this workbook will be as easy and delightful for you to use as your child. With the journaling activities, facts and exercises, this Mathematics workbook will become one of the best investments you make for your young learner.-Free Instructional Video - The Mathematician, Jr. Workbook comes with a free instructional video that will make helping your child learn math easy and fun. With everything clearly explained, you'll be helping your child excel in math very quickly.
Selected Papers from the 16th International Conference on Squeezed States and Uncertainty Relations (ICSSUR 2019)
The first quantum revolution started in the early 20th century and gave us new rules that govern physical reality. Accordingly, many devices that changed dramatically our lifestyle, such as transistors, medical scanners and lasers, appeared in the market. This was the origin of quantum technology, which allows us to organize and control the components of a complex system governed by the laws of quantum physics. This is in sharp contrast to conventional technology, which can only be understood within the framework of classical mechanics. We are now in the middle of a second quantum revolution. Although quantum mechanics is nowadays a mature discipline, quantum engineering as a technology is now emerging in its own right. We are about to manipulate and sense individual particles, measuring and exploiting their quantum properties. This is bringing major technical advances in many different areas, including computing, sensors, simulations, cryptography and telecommunications. The present collection of selected papers is a clear demonstration of the tremendous vitality of the field. The issue is composed of contributions from world leading researchers in quantum optics and quantum information, and presents viewpoints, both theoretical and experimental, on a variety of modern problems.
Fractional Differential Equations, Inclusions and Inequalities with Applications
During the last decade, there has been an increased interest in fractional differential equations, inclusions, and inequalities, as they play a fundamental role in the modeling of numerous phenomena, in particular, in physics, biomathematics, blood flow phenomena, ecology, environmental issues, viscoelasticity, aerodynamics, electrodynamics of complex medium, electrical circuits, electron-analytical chemistry, control theory, etc. This book presents collective works published in the recent Special Issue (SI) entitled "Fractional Differential Equation, Inclusions and Inequalities with Applications" of the journal Mathematics. This Special Issue presents recent developments in the theory of fractional differential equations and inequalities. Topics include but are not limited to the existence and uniqueness results for boundary value problems for different types of fractional differential equations, a variety of fractional inequalities, impulsive fractional differential equations, and applications in sciences and engineering.
Minority Students in STEM Careers in the U.S. - the Role of AP Calculus
According to the U.S. Department of Education (DOE), students who took high school calculus and expressed interest in STEM careers had the lowest attrition rate in college (U.S. Department of Education [DOE], 2014). Research from the Federal Reserve Bank of Cleveland indicates that students that took advanced mathematics in high school received a greater economic return over their life-time (James, 2013; Thompson, 2013).
![Past Papers Question Bank AMC8 [volume 3]](https://cdn.kingstone.com.tw/english/images/product/2705/9781727562705m.webp "Past Papers Question Bank AMC8 [volume 3]")
Past Papers Question Bank AMC8 [volume 3]
The best preparing method for all exams is to solve the past papers of the exam! Analysis of the AMC 8 revealed that there are 81 item types in the test. This book, Past Papers AMC 8 vol.1, contains 12. Percentage 13. Polygon 14. Number Analysis 15. Counting Principle 16. Table Analysis And this book provides correct answers and detailed explanations. In addition, by providing item types for each question, students could make feedback based on incorrect answers. Practice like you test, Test like you practice!
Allgemeine Geometrie
Das Buch Allgemeine Geometrie (Basiswissen und Formelsammlung) eignet sich f羹r Sch羹ler und Lehrkr瓣fte an Praktisch allen Schulen (Gymnasien, Realschulen, Hochschulen usw.), sowohl auch f羹r Studenten an unterschiedlichen Naturwissenschaftlichen und Technischen Universit瓣ten wie z.b. (Physik, Chemie, Kristallographie, Festk繹rperphysik, Geowissenschaften, Architektur, Bauing., usw.).Auch geeignet f羹r Mathematik Interessenten die einen sehr Interessanten Einblick in verschiedenen Geometrischen Themen haben wollen. Buchbeschreibung-Von der Prismatoiden Geometrie (Prisma - Zylinder, Pyramide - Kegel, Pyramidenstumpf - Kegelstumpf, Antiprisma, Paralellepiped) bis zur Bipyramiden - Doppelkegel und Trapezoeder Geometrie. Beschrieben mit (Volumen, Fl瓣chen, Umkugel, Inkugel, Fl瓣chenwinkel, etc.) zur jedem K繹rper.-Polyeder Morphologie -Durch Schneiden bestimmter Polyeder zur Archimedischen Polyedern, -Dual Archimedischen Polyedern (Catalanischen Polyedern), etc. -Beschrieben mit (Volumen, Fl瓣chen, Umkugel, Inkugel, Fl瓣chenwinkel, etc.) zu jedem neuen gewonnenen Polyeder, in Zusammenhang mit den Schnitten an den Polyedern.-Kugel Polyeder Geometrie, und Kugelpackungen -Kugelanteile an Polyederecken (Platonisch, Archimedisch, Dual Archimedisch (Catalan), Prismatoid, etc.). -Eckenraumwinkeln an Polyederecken (Platonisch, Archimedisch, Dual Archimedisch (Catalan), Prismatoid, etc.). -Elementarzellen und Primitive Elementarzellen aus angeordneten Kugelschichten. -Mit Bsp. wie Hexagonal Dichteste Kugelpackung, Kubisch Dichteste Kugelpackung, etc.. Mit Beispielen und Beweisen an vielen Themen, und mit 羹ber 250 Abbildungen.
Applied Wave Mathematics II
This book gathers contributions on various aspects of the theory and applications of linear and nonlinear waves and associated phenomena, as well as approaches developed in a global partnership of researchers with the national Centre of Excellence in Nonlinear Studies (CENS) at the Department of Cybernetics of Tallinn University of Technology in Estonia.The papers chiefly focus on the role of mathematics in the analysis of wave phenomena. They highlight the complexity of related topics concerning wave generation, propagation, transformation and impact in solids, gases, fluids and human tissues, while also sharing insights into selected mathematical methods for the analytical and numerical treatment of complex phenomena. In addition, the contributions derive advanced mathematical models, share innovative ideas on computing, and present novel applications for a number of research fields where both linear and nonlinear wave problems play an important role.The papers are written in a tutorial style, intended for non-specialist researchers and students. The authors first describe the basics of a problem that is currently of interest in the scientific community, discuss the state of the art in related research, and then share their own experiences in tackling the problem.Each chapter highlights the importance of applied mathematics for central issues in the study of waves and associated complex phenomena in different media. The topics range from basic principles of wave mechanics up to the mathematics of Planet Earth in the broadest sense, including contemporary challenges in the mathematics of society. In turn, the areas of application range from classic ocean wave mathematics to material science, and to human nerves and tissues. All contributions describe the approaches in a straightforward manner, making them ideal material for educational purposes, e.g. for courses, master class lectures, or seminar presentations.
Tsinghua Lectures in Mathematics (vol. 45 of the Advanced Lectures in Mathematics series)
This volume presents a selection of work based upon lectures given by distinguished mathematicians at the Yau Mathematical Sciences Center at Tsinghua University, and at the Tsinghua Sanya International Mathematics Forum.Mathematics is very diversified and broad, but there are some basic underlying themes. The editors hope that the diversity of material presented here conveys the richness and unity of mathematics.
Ulam Type Stability
This book is an outcome of two Conferences on Ulam Type Stability (CUTS) organized in 2016 (July 4-9, Cluj-Napoca, Romania) and in 2018 (October 8-13, 2018, Timisoara, Romania). It presents up-to-date insightful perspective and very resent research results on Ulam type stability of various classes of linear and nonlinear operators; in particular on the stability of many functional equations in a single and several variables (also in the lattice environments, Orlicz spaces, quasi-b-Banach spaces, and 2-Banach spaces) and some orthogonality relations (e.g., of Birkhoff-James). A variety of approaches are presented, but a particular emphasis is given to that of fixed points, with some new fixed point results and their applications provided. Besides these several other topics are considered that are somehow related to the Ulam stability such as: invariant means, geometry of Banach function modules, queueing systems, semi-inner products and parapreseminorms, subdominant eigenvalue location of a bordered diagonal matrix and optimal forward contract design for inventory. New directions and several open problems regarding stability and non-stability concepts are included.Ideal for use as a reference or in a seminar, this book is aimed toward graduate students, scientists and engineers working in functional equations, difference equations, operator theory, functional analysis, approximation theory, optimization theory, and fixed point theory who wish to be introduced to a wide spectrum of relevant theories, methods and applications leading to interdisciplinary research. It advances the possibilities for future research through an extensive bibliography and a large spectrum of techniques, methods and applications.
Mathematics, Volume 3
Available again from the MIT Press.
The Seven Spaces of Creation
This book presents a cosmology based on seven Octonion spaces. The spaces are interrelated. One space describes universes such as the QUeST universe previously described by the author. Another space describes Megaverses such as the UTMOST Megaverse of the author. The complete theory appears to be as fundamental as possible. It directly connects to the Unified SuperStandard Theory of the author. Thus it is a complete theory - the first truly comprehensive theory unifying the deepest levels with particle physics experiment.
Nonequilibrium Phenomena in Strongly Correlated Systems
The book is devoted to the fundamental aspects of the non-equilibrium statistical mechanics of many-particle systems. The concept of Zubarev's approach, which generalizes the notion of Gibbs' ensembles, and introduces a nonequilibrium statistical operator, providing an adequate basis for dealing with strongly correlated systems that are governed by nonperturbative phenomena, such as the formation of bound states, quantum condensates and the instability of the vacuum. Besides a general introduction to the formalism, this book contains contributions devoted to the applications of Zubarev's method to the solution of modern problems in different fields of physics: transport theory, hydrodynamics, high-energy physics, quark-gluon plasma and hadron production in heavy-ion collisions. The book provides valuable information for researchers and students in these fields, requiring powerful concepts to solve fundamental problems of non-equilibrium phenomena in strongly
![Past Papers Question Bank AMC8 [volume 1]](https://cdn.kingstone.com.tw/english/images/product/1858/9781727501858m.webp "Past Papers Question Bank AMC8 [volume 1]")
Past Papers Question Bank AMC8 [volume 1]
The best preparing method for all exams is to solve the past papers of the exam! Analysis of the AMC 8 revealed that there are 81 item types in the test. This book, Past Papers AMC 8 vol.1, contains 1.Linear Equation 2.Venn Diagram 3.Pythagorean Theorem 4.Prime Factorization 5.Number of Ways 6.Average And this book provides correct answers and detailed explanations. In addition, by providing item types for each question, students could make feedback based on incorrect answers. Practice like you test, Test like you practice!
![Past Papers Question Bank AMC8 [volume 2]](https://cdn.kingstone.com.tw/english/images/product/8839/9781727548839m.webp "Past Papers Question Bank AMC8 [volume 2]")
Past Papers Question Bank AMC8 [volume 2]
The best preparing method for all exams is to solve the past papers of the exam! Analysis of the AMC 8 revealed that there are 81 item types in the test. This book, Past Papers AMC 8 vol.1, contains 7. Ratio and Rate 8. Triangle 9. GCF and LCM 10. General Probability 11. Central Tendency And this book provides correct answers and detailed explanations. In addition, by providing item types for each question, students could make feedback based on incorrect answers. Practice like you test, Test like you practice!
Calculus in 5 Hours
Students often struggle to understand Calculus and get through their first Calculus course. And to make things worse, many popular textbooks reach a whopping 1,000 pages to introduce this crucial subject, needlessly frustrating and overwhelming students. Calculus in 5 Hours develops the confidence you need in approximately 124 pages.You may not realize it, but you're smarter than you think you are. The problem is that assigned textbooks give exhaustive explanations of every proof and theorem in Calculus. But too many details can impair learning - especially when you're learning something for the first time - creating doubt and uncertainty in your ability to understand. What's needed is a straightforward guide to give you the basic concepts.Calculus in 5 Hours is a good companion to any Calculus course and an excellent resource for refreshing your knowledge of the subject. Here's what it will do for you: Organize your understanding of Calculus for quick and easy recall on tests and homework assignmentsPresent straightforward drawings that demonstrate concepts with minimal effort on your partHighlight simple examples without burdening you with useless detailsCalculus in 5 Hours covers roughly 75% of a first-semester course and leaves out the extra material that adds little value in learning Calculus itself. So, if you need a comprehensive textbook that goes through every detail of Calculus, then this book is not for you.Instead, you'll get a straightforward and simple explanation of Calculus that can be absorbed in less than a day, strengthening your knowledge and confidence at the same time. This allows you to focus on what's truly important - gaining knowledge and achievement as fast as possible.Get Calculus in 5 Hours to shorten your learning curve and gain the understanding you need to be successful today.
Math is BAD
"Math is BAD" is a short text to demonstrate the strengths and weaknesses of mathematics in a simple manner. The book uses a significant number of credible sources and could provide a new angle of interpretation and appreciation of mathematics. Specifically, the modern era reveals another side of the truth that mathematics cannot formulate. That is to say, nothing is for sure. Such a vision has led to another branch of science, which requires relying on probabilistic effects. Statistics is the branch that employs mathematics while missing the absoluteness of mathematics. In simple terms, "MATH IS BAD" encourages us to listen to the sound of the cosmos and whatever it contains with more mindfulness while respecting its complexity and randomness. Moreover, "Math is Bad" briefly touches on the dark side of scientific literature and the way sources are altered for various purposes. The second edition has improved the content to include the most available up-to-date information and references.
