Problems, Volume I

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Publisher : Harvard University Press
ISBN 13 : 9780674996557
Total Pages : 0 pages
Book Rating : 4.9/5 (965 download)

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Book Synopsis Problems, Volume I by : Aristotle

Download or read book Problems, Volume I written by Aristotle and published by Harvard University Press. This book was released on 2011-11-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Peripatetic potpourri. Aristotle of Stagirus (384–322 BC), the great Greek philosopher, researcher, logician, and scholar, studied with Plato at Athens and taught in the Academy (367–347). Subsequently he spent three years in Asia Minor at the court of his former pupil Hermeias, where he married Pythias, one of Hermeias’ relations. After some time at Mitylene, he was appointed in 343/2 by King Philip of Macedon to be tutor of his teen-aged son Alexander. After Philip’s death in 336, Aristotle became head of his own school (of “Peripatetics”), the Lyceum at Athens. Because of anti-Macedonian feeling there after Alexander’s death in 323, he withdrew to Chalcis in Euboea, where he died the following year. Problems, the third-longest work in the Aristotelian corpus, contains thirty-eight books covering more than 900 problems about living things, meteorology, ethical and intellectual virtues, parts of the human body, and other topics. Although Problems is an accretion of multiple authorship over several centuries, it offers a fascinating technical view of Peripatetic method and thought. Problems, in two volumes, replaces the earlier Loeb edition by Hett, with a text and translation incorporating the latest scholarship.

Problem-Solving Strategies

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Publisher : Springer Science & Business Media
ISBN 13 : 0387226419
Total Pages : 403 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Problem-Solving Strategies by : Arthur Engel

Download or read book Problem-Solving Strategies written by Arthur Engel and published by Springer Science & Business Media. This book was released on 2008-01-19 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.

Mass Transportation Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 0387227563
Total Pages : 430 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Mass Transportation Problems by : Svetlozar T. Rachev

Download or read book Mass Transportation Problems written by Svetlozar T. Rachev and published by Springer Science & Business Media. This book was released on 2006-05-09 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first comprehensive account of the theory of mass transportation problems and its applications. In Volume I, the authors systematically develop the theory with emphasis on the Monge-Kantorovich mass transportation and the Kantorovich-Rubinstein mass transshipment problems. They then discuss a variety of different approaches towards solving these problems and exploit the rich interrelations to several mathematical sciences - from functional analysis to probability theory and mathematical economics. The second volume is devoted to applications of the above problems to topics in applied probability, theory of moments and distributions with given marginals, queuing theory, risk theory of probability metrics and its applications to various fields, among them general limit theorems for Gaussian and non-Gaussian limiting laws, stochastic differential equations and algorithms, and rounding problems. Useful to graduates and researchers in theoretical and applied probability, operations research, computer science, and mathematical economics, the prerequisites for this book are graduate level probability theory and real and functional analysis.

The Art of Problem Solving, Volume 1

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Author :
Publisher : Mitchell Beazley
ISBN 13 : 9780977304561
Total Pages : 0 pages
Book Rating : 4.3/5 (45 download)

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Book Synopsis The Art of Problem Solving, Volume 1 by : Sandor Lehoczky

Download or read book The Art of Problem Solving, Volume 1 written by Sandor Lehoczky and published by Mitchell Beazley. This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: " ... offer[s] a challenging exploration of problem solving mathematics and preparation for programs such as MATHCOUNTS and the American Mathematics Competition."--Back cover

Finite Volume Methods for Hyperbolic Problems

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Publisher : Cambridge University Press
ISBN 13 : 9780521009249
Total Pages : 582 pages
Book Rating : 4.0/5 (92 download)

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Book Synopsis Finite Volume Methods for Hyperbolic Problems by : Randall J. LeVeque

Download or read book Finite Volume Methods for Hyperbolic Problems written by Randall J. LeVeque and published by Cambridge University Press. This book was released on 2002-08-26 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

Advanced Problems in Mathematics

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Publisher :
ISBN 13 : 9781783747764
Total Pages : 188 pages
Book Rating : 4.7/5 (477 download)

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Book Synopsis Advanced Problems in Mathematics by : Stephen Siklos

Download or read book Advanced Problems in Mathematics written by Stephen Siklos and published by . This book was released on 2019-10-16 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge Colleges for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on the past papers even if they do not take the examination. Advanced Problems in Mathematics bridges the gap between school and university mathematics, and prepares students for an undergraduate mathematics course. The questions analysed in this book are all based on past STEP questions and each question is followed by a comment and a full solution. The comments direct the reader's attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently. This book is a must read for any student wishing to apply to scientific subjects at university level and for anyone interested in advanced mathematics.

Linear and Quasilinear Parabolic Problems

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Publisher : Birkhäuser
ISBN 13 : 3034892217
Total Pages : 366 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Linear and Quasilinear Parabolic Problems by : Herbert Amann

Download or read book Linear and Quasilinear Parabolic Problems written by Herbert Amann and published by Birkhäuser. This book was released on 2012-12-06 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this treatise we present the semigroup approach to quasilinear evolution equa of parabolic type that has been developed over the last ten years, approxi tions mately. It emphasizes the dynamic viewpoint and is sufficiently general and flexible to encompass a great variety of concrete systems of partial differential equations occurring in science, some of those being of rather 'nonstandard' type. In partic ular, to date it is the only general method that applies to noncoercive systems. Although we are interested in nonlinear problems, our method is based on the theory of linear holomorphic semigroups. This distinguishes it from the theory of nonlinear contraction semigroups whose basis is a nonlinear version of the Hille Yosida theorem: the Crandall-Liggett theorem. The latter theory is well-known and well-documented in the literature. Even though it is a powerful technique having found many applications, it is limited in its scope by the fact that, in concrete applications, it is closely tied to the maximum principle. Thus the theory of nonlinear contraction semigroups does not apply to systems, in general, since they do not allow for a maximum principle. For these reasons we do not include that theory.

Boundary Value Problems on Time Scales, Volume I

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Author :
Publisher : CRC Press
ISBN 13 : 100042989X
Total Pages : 324 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Boundary Value Problems on Time Scales, Volume I by : Svetlin G. Georgiev

Download or read book Boundary Value Problems on Time Scales, Volume I written by Svetlin G. Georgiev and published by CRC Press. This book was released on 2021-10-15 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boundary Value Problems on Time Scales, Volume I is devoted to the qualitative theory of boundary value problems on time scales. Summarizing the most recent contributions in this area, it addresses a wide audience of specialists such as mathematicians, physicists, engineers and biologists. It can be used as a textbook at the graduate level and as a reference book for several disciplines. The text contains two volumes, both published by Chapman & Hall/CRC Press. Volume I presents boundary value problems for first- and second-order dynamic equations on time scales. Volume II investigates boundary value problems for three, four, and higher-order dynamic equations on time scales. Many results to differential equations carry over easily to corresponding results for difference equations, while other results seem to be totally different in nature. Because of these reasons, the theory of dynamic equations is an active area of research. The time-scale calculus can be applied to any field in which dynamic processes are described by discrete or continuous time models. The calculus of time scales has various applications involving noncontinuous domains such as certain bug populations, phytoremediation of metals, wound healing, maximization problems in economics, and traffic problems. Boundary value problems on time scales have been extensively investigated in simulating processes and the phenomena subject to short-time perturbations during their evolution. The material in this book is presented in highly readable, mathematically solid format. Many practical problems are illustrated displaying a wide variety of solution techniques. AUTHORS Svetlin G. Georgiev is a mathematician who has worked in various areas of the study. He currently focuses on harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, and dynamic calculus on time scales. Khaled Zennir earned his PhD in mathematics in 2013 from Sidi Bel Abbès University, Algeria. In 2015, he received his highest diploma in Habilitation in mathematics from Constantine University, Algeria. He is currently assistant professor at Qassim University in the Kingdom of Saudi Arabia. His research interests lie in the subjects of nonlinear hyperbolic partial differential equations: global existence, blowup, and long-time behavior.

A Thousand and One Life-and-death Problems

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Publisher :
ISBN 13 : 9784906574728
Total Pages : 244 pages
Book Rating : 4.5/5 (747 download)

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Book Synopsis A Thousand and One Life-and-death Problems by : Richard Bozulich

Download or read book A Thousand and One Life-and-death Problems written by Richard Bozulich and published by . This book was released on 2002 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Along with playing games, practice is essential for mastering go technique; namely, practice in analyzing positions and reading out all their variations. However, the practice players get from their games is limited, whereas problem books can give the amateur go player a vast variety of positions that might occur in their games. Practice also keeps the mind sharp and in top form.This is the reason professionals are always solving problems and often spend considerable time composing them. Practice must also include repetition if it is to be effective. If you have to find the same kind of tesuji in similar patterns over and over again, spotting that tesuji in a problem or in a game will become second nature. It is the purpose of this book to provide a vast number and a large variety of life-and-death problems for the in experienced player.The problems are not hard; they range from very easy to moderately difficult. A dan player should be able to solve them within a minute, sometimes on sight, but it may take a bit longer for kyu-level players. If you have just learned the rule s and played only a few games, you will benefit from studying these problems. Three types are presented: 1) problems in which you have to read only one move ahead; 2) problems in which you have to read three moves ahead; and 3) problems in which you have to read five moves ahead. In this way, the problems become progressively harder, from very easy to rather difficult.It may take you a bit of time to work through this book, but in the end you will have mastered the basic techniques of the life and death of groups.

Graded Go Problems for Beginners

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Publisher :
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Graded Go Problems for Beginners by : Yoshinori Kanō

Download or read book Graded Go Problems for Beginners written by Yoshinori Kanō and published by . This book was released on 1985 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to the Mathematical Theory of Inverse Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 1441984747
Total Pages : 314 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis An Introduction to the Mathematical Theory of Inverse Problems by : Andreas Kirsch

Download or read book An Introduction to the Mathematical Theory of Inverse Problems written by Andreas Kirsch and published by Springer Science & Business Media. This book was released on 2011-03-24 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to the area of inverse problems. The study of inverse problems is of vital interest to many areas of science and technology such as geophysical exploration, system identification, nondestructive testing and ultrasonic tomography. The aim of this book is twofold: in the first part, the reader is exposed to the basic notions and difficulties encountered with ill-posed problems. Basic properties of regularization methods for linear ill-posed problems are studied by means of several simple analytical and numerical examples. The second part of the book presents two special nonlinear inverse problems in detail - the inverse spectral problem and the inverse scattering problem. The corresponding direct problems are studied with respect to existence, uniqueness and continuous dependence on parameters. Then some theoretical results as well as numerical procedures for the inverse problems are discussed. The choice of material and its presentation in the book are new, thus making it particularly suitable for graduate students. Basic knowledge of real analysis is assumed. In this new edition, the Factorization Method is included as one of the prominent members in this monograph. Since the Factorization Method is particularly simple for the problem of EIT and this field has attracted a lot of attention during the past decade a chapter on EIT has been added in this monograph as Chapter 5 while the chapter on inverse scattering theory is now Chapter 6.The main changes of this second edition compared to the first edition concern only Chapters 5 and 6 and the Appendix A. Chapter 5 introduces the reader to the inverse problem of electrical impedance tomography.

Statistical and Computational Inverse Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 0387271325
Total Pages : 340 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Statistical and Computational Inverse Problems by : Jari Kaipio

Download or read book Statistical and Computational Inverse Problems written by Jari Kaipio and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the statistical mechanics approach to computational solution of inverse problems, an innovative area of current research with very promising numerical results. The techniques are applied to a number of real world applications such as limited angle tomography, image deblurring, electical impedance tomography, and biomagnetic inverse problems. Contains detailed examples throughout and includes a chapter on case studies where such methods have been implemented in biomedical engineering.

Word Problems

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Publisher : My Path to Math (Paperback)
ISBN 13 : 9780778710974
Total Pages : 24 pages
Book Rating : 4.7/5 (19 download)

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Book Synopsis Word Problems by : Helen Mason

Download or read book Word Problems written by Helen Mason and published by My Path to Math (Paperback). This book was released on 2013 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Word Problems: Mass and Volume uses an engaging narrative and authentic, real-world problems to teach readers strategies to solve one-step word problems involving mass and volume. The text models the problem-solving process for readers and provides hands-on opportunities for readers to apply their own problem-solving skills. Readers will discover that there is often more than one way to solve a problem"--

Ordinary Differential Equations and Boundary Value Problems

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Publisher : World Scientific
ISBN 13 : 9813236477
Total Pages : 176 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Ordinary Differential Equations and Boundary Value Problems by : John R Graef

Download or read book Ordinary Differential Equations and Boundary Value Problems written by John R Graef and published by World Scientific. This book was released on 2018-02-13 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors give a treatment of the theory of ordinary differential equations (ODEs) that is excellent for a first course at the graduate level as well as for individual study. The reader will find it to be a captivating introduction with a number of non-routine exercises dispersed throughout the book. The authors begin with a study of initial value problems for systems of differential equations including the Picard and Peano existence theorems. The continuability of solutions, their continuous dependence on initial conditions, and their continuous dependence with respect to parameters are presented in detail. This is followed by a discussion of the differentiability of solutions with respect to initial conditions and with respect to parameters. Comparison results and differential inequalities are included as well. Linear systems of differential equations are treated in detail as is appropriate for a study of ODEs at this level. Just the right amount of basic properties of matrices are introduced to facilitate the observation of matrix systems and especially those with constant coefficients. Floquet theory for linear periodic systems is presented and used to analyze nonhomogeneous linear systems. Stability theory of first order and vector linear systems are considered. The relationships between stability of solutions, uniform stability, asymptotic stability, uniformly asymptotic stability, and strong stability are examined and illustrated with examples as is the stability of vector linear systems. The book concludes with a chapter on perturbed systems of ODEs. Contents: Systems of Differential EquationsContinuation of Solutions and Maximal Intervals of ExistenceSmooth Dependence on Initial Conditions and Smooth Dependence on a ParameterSome Comparison Theorems and Differential InequalitiesLinear Systems of Differential EquationsPeriodic Linear Systems and Floquet TheoryStability TheoryPerturbed Systems and More on Existence of Periodic Solutions Readership: Graduate students and researchers interested in ordinary differential equations. Keywords: Differential Equations;Linear Systems;Comparison Theorems;Differential Inequalities;Periodic Systems;Floquet Theory;Stability Theory;Perturbed Equations;Periodic SolutionsReview: Key Features: Clarity of presentationTreatment of linear and nonlinear problemsIntroduction to stability theoryNonroutine exercises to expand insight into more difficult conceptsExamples provided with thorough explanations

Inverse Problems in the Mathematical Sciences

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Publisher : Springer Science & Business Media
ISBN 13 : 3322992020
Total Pages : 154 pages
Book Rating : 4.3/5 (229 download)

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Book Synopsis Inverse Problems in the Mathematical Sciences by : Charles W. Groetsch

Download or read book Inverse Problems in the Mathematical Sciences written by Charles W. Groetsch and published by Springer Science & Business Media. This book was released on 2013-12-14 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems are immensely important in modern science and technology. However, the broad mathematical issues raised by inverse problems receive scant attention in the university curriculum. This book aims to remedy this state of affairs by supplying an accessible introduction, at a modest mathematical level, to the alluring field of inverse problems. Many models of inverse problems from science and engineering are dealt with and nearly a hundred exercises, of varying difficulty, involving mathematical analysis, numerical treatment, or modelling of inverse problems, are provided. The main themes of the book are: causation problem modeled as integral equations; model identification problems, posed as coefficient determination problems in differential equations; the functional analytic framework for inverse problems; and a survey of the principal numerical methods for inverse problems. An extensive annotated bibliography furnishes leads on the history of inverse problems and a guide to the frontiers of current research.

Boundary Value Problems on Time Scales, Volume I

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Author :
Publisher : CRC Press
ISBN 13 : 1000429849
Total Pages : 692 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Boundary Value Problems on Time Scales, Volume I by : Svetlin G. Georgiev

Download or read book Boundary Value Problems on Time Scales, Volume I written by Svetlin G. Georgiev and published by CRC Press. This book was released on 2021-10-15 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: Boundary Value Problems on Time Scales, Volume I is devoted to the qualitative theory of boundary value problems on time scales. Summarizing the most recent contributions in this area, it addresses a wide audience of specialists such as mathematicians, physicists, engineers and biologists. It can be used as a textbook at the graduate level and as a reference book for several disciplines. The text contains two volumes, both published by Chapman & Hall/CRC Press. Volume I presents boundary value problems for first- and second-order dynamic equations on time scales. Volume II investigates boundary value problems for three, four, and higher-order dynamic equations on time scales. Many results to differential equations carry over easily to corresponding results for difference equations, while other results seem to be totally different in nature. Because of these reasons, the theory of dynamic equations is an active area of research. The time-scale calculus can be applied to any field in which dynamic processes are described by discrete or continuous time models. The calculus of time scales has various applications involving noncontinuous domains such as certain bug populations, phytoremediation of metals, wound healing, maximization problems in economics, and traffic problems. Boundary value problems on time scales have been extensively investigated in simulating processes and the phenomena subject to short-time perturbations during their evolution. The material in this book is presented in highly readable, mathematically solid format. Many practical problems are illustrated displaying a wide variety of solution techniques. AUTHORS Svetlin G. Georgiev is a mathematician who has worked in various areas of the study. He currently focuses on harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, and dynamic calculus on time scales. Khaled Zennir earned his PhD in mathematics in 2013 from Sidi Bel Abbès University, Algeria. In 2015, he received his highest diploma in Habilitation in mathematics from Constantine University, Algeria. He is currently assistant professor at Qassim University in the Kingdom of Saudi Arabia. His research interests lie in the subjects of nonlinear hyperbolic partial differential equations: global existence, blowup, and long-time behavior.

Open Problems and Surveys of Contemporary Mathematics

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Publisher :
ISBN 13 : 9781571462787
Total Pages : 477 pages
Book Rating : 4.4/5 (627 download)

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Book Synopsis Open Problems and Surveys of Contemporary Mathematics by : Lizhen Ji

Download or read book Open Problems and Surveys of Contemporary Mathematics written by Lizhen Ji and published by . This book was released on 2013 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: