Interpretation of Algebraic Inequalities PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Interpretation of Algebraic Inequalities PDF full book. Access full book title Interpretation of Algebraic Inequalities by Michael Todinov. Download full books in PDF and EPUB format.
Author: Michael Todinov
Publisher: CRC Press
ISBN: 100046895X
Category : Technology & Engineering
Languages : en
Pages : 154
Get Book Here
Book Description
This book introduces a new method based on algebraic inequalities for optimising engineering systems and processes, with applications in mechanical engineering, materials science, electrical engineering, reliability engineering, risk management and operational research. This book shows that the application potential of algebraic inequalities in engineering and technology is far-reaching and certainly not restricted to specifying design constraints. Algebraic inequalities can handle deep uncertainty associated with design variables and control parameters. With the method presented in this book, powerful new knowledge about systems and processes can be generated through meaningful interpretation of algebraic inequalities. This book demonstrates how the generated knowledge can be put into practice through covering the algebraic inequalities suitable for interpretation in different contexts and describing how to apply this knowledge to enhance system and process performance. Depending on the specific interpretation, knowledge, applicable to different systems from different application domains, can be generated from the same algebraic inequality. Furthermore, an important class of algebraic inequalities has been introduced that can be used for optimising systems and processes in any area of science and technology provided that the variables and the separate terms of the inequalities are additive quantities. With the presented various examples and solutions, this book will be of interest to engineers, students and researchers in the field of optimisation, engineering design, reliability engineering, risk management and operational research.
Author: Michael Todinov
Publisher: CRC Press
ISBN: 100046895X
Category : Technology & Engineering
Languages : en
Pages : 154
Get Book Here
Book Description
This book introduces a new method based on algebraic inequalities for optimising engineering systems and processes, with applications in mechanical engineering, materials science, electrical engineering, reliability engineering, risk management and operational research. This book shows that the application potential of algebraic inequalities in engineering and technology is far-reaching and certainly not restricted to specifying design constraints. Algebraic inequalities can handle deep uncertainty associated with design variables and control parameters. With the method presented in this book, powerful new knowledge about systems and processes can be generated through meaningful interpretation of algebraic inequalities. This book demonstrates how the generated knowledge can be put into practice through covering the algebraic inequalities suitable for interpretation in different contexts and describing how to apply this knowledge to enhance system and process performance. Depending on the specific interpretation, knowledge, applicable to different systems from different application domains, can be generated from the same algebraic inequality. Furthermore, an important class of algebraic inequalities has been introduced that can be used for optimising systems and processes in any area of science and technology provided that the variables and the separate terms of the inequalities are additive quantities. With the presented various examples and solutions, this book will be of interest to engineers, students and researchers in the field of optimisation, engineering design, reliability engineering, risk management and operational research.
Author: Hayk Sedrakyan
Publisher: Springer
ISBN: 3319778366
Category : Mathematics
Languages : en
Pages : 243
Get Book Here
Book Description
This unique collection of new and classical problems provides full coverage of algebraic inequalities. Many of the exercises are presented with detailed author-prepared-solutions, developing creativity and an arsenal of new approaches for solving mathematical problems. Algebraic Inequalities can be considered a continuation of the book Geometric Inequalities: Methods of Proving by the authors. This book can serve teachers, high-school students, and mathematical competitors. It may also be used as supplemental reading, providing readers with new and classical methods for proving algebraic inequalities.
Author: Jiri Herman
Publisher: Springer Science & Business Media
ISBN: 1461212707
Category : Mathematics
Languages : en
Pages : 353
Get Book Here
Book Description
A look at solving problems in three areas of classical elementary mathematics: equations and systems of equations of various kinds, algebraic inequalities, and elementary number theory, in particular divisibility and diophantine equations. In each topic, brief theoretical discussions are followed by carefully worked out examples of increasing difficulty, and by exercises which range from routine to rather more challenging problems. While it emphasizes some methods that are not usually covered in beginning university courses, the book nevertheless teaches techniques and skills which are useful beyond the specific topics covered here. With approximately 330 examples and 760 exercises.
Author: Nicolas Lerner
Publisher: Springer
ISBN: 3030159930
Category : Mathematics
Languages : en
Pages : 557
Get Book Here
Book Description
Over the past 25 years, Carleman estimates have become an essential tool in several areas related to partial differential equations such as control theory, inverse problems, or fluid mechanics. This book provides a detailed exposition of the basic techniques of Carleman Inequalities, driven by applications to various questions of unique continuation. Beginning with an elementary introduction to the topic, including examples accessible to readers without prior knowledge of advanced mathematics, the book's first five chapters contain a thorough exposition of the most classical results, such as Calderón's and Hörmander's theorems. Later chapters explore a selection of results of the last four decades around the themes of continuation for elliptic equations, with the Jerison-Kenig estimates for strong unique continuation, counterexamples to Cauchy uniqueness of Cohen and Alinhac & Baouendi, operators with partially analytic coefficients with intermediate results between Holmgren's and Hörmander's uniqueness theorems, Wolff's modification of Carleman's method, conditional pseudo-convexity, and more. With examples and special cases motivating the general theory, as well as appendices on mathematical background, this monograph provides an accessible, self-contained basic reference on the subject, including a selection of the developments of the past thirty years in unique continuation.
Author: B.G. Pachpatte
Publisher: Springer Science & Business Media
ISBN: 9491216449
Category : Mathematics
Languages : en
Pages : 310
Get Book Here
Book Description
For more than a century, the study of various types of inequalities has been the focus of great attention by many researchers, interested both in the theory and its applications. In particular, there exists a very rich literature related to the well known Cebysev, Gruss, Trapezoid, Ostrowski, Hadamard and Jensen type inequalities. The present monograph is an attempt to organize recent progress related to the above inequalities, which we hope will widen the scope of their applications. The field to be covered is extremely wide and it is impossible to treat all of these here. The material included in the monograph is recent and hard to find in other books. It is accessible to any reader with a reasonable background in real analysis and an acquaintance with its related areas. All results are presented in an elementary way and the book could also serve as a textbook for an advanced graduate course. The book deserves a warm welcome to those who wish to learn the subject and it will also be most valuable as a source of reference in the field. It will be invaluable reading for mathematicians and engineers and also for graduate students, scientists and scholars wishing to keep abreast of this important area of research.
Author: Dragoslav S. Mitrinovic
Publisher: Springer Science & Business Media
ISBN: 3642999700
Category : Mathematics
Languages : en
Pages : 416
Get Book Here
Book Description
The Theory of Inequalities began its development from the time when C. F. GACSS, A. L. CATCHY and P. L. CEBYSEY, to mention only the most important, laid the theoretical foundation for approximative meth ods. Around the end of the 19th and the beginning of the 20th century, numerous inequalities were proyed, some of which became classic, while most remained as isolated and unconnected results. It is almost generally acknowledged that the classic work "Inequali ties" by G. H. HARDY, J. E. LITTLEWOOD and G. POLYA, which appeared in 1934, transformed the field of inequalities from a collection of isolated formulas into a systematic discipline. The modern Theory of Inequalities, as well as the continuing and growing interest in this field, undoubtedly stem from this work. The second English edition of this book, published in 1952, was unchanged except for three appendices, totalling 10 pages, added at the end of the book. Today inequalities playa significant role in all fields of mathematics, and they present a very active and attractive field of research. J. DIEUDONNE, in his book "Calcullnfinitesimal" (Paris 1968), attri buted special significance to inequalities, adopting the method of exposi tion characterized by "majorer, minorer, approcher". Since 1934 a multitude of papers devoted to inequalities have been published: in some of them new inequalities were discovered, in others classical inequalities ,vere sharpened or extended, various inequalities ,vere linked by finding their common source, while some other papers gave a large number of miscellaneous applications.
Author:
Publisher: Rumi Michael Leigh
ISBN:
Category : Mathematics
Languages : en
Pages : 71
Get Book Here
Book Description
Unlock the power of mathematical inequalities with "Inequalities, things you should know, questions and answers," an essential resource designed to equip students, educators, and mathematics enthusiasts with the tools to conquer this challenging branch of mathematics. Whether you are aiming to ace exams, deepen your understanding, or simply enhance your problem-solving abilities, this book offers a comprehensive collection of exercises that will sharpen your skills and boost your confidence. This book takes a structured approach, starting with fundamental concepts and gradually progressing to more advanced topics. Through a carefully curated selection of exercises, ranging from basic inequalities to complex systems of inequalities, readers will be guided through a step-by-step journey, enabling them to build a solid foundation and grasp the intricacies of this important mathematical field. Key features of "Inequalities Math Exercises" include: 1. Wide-ranging Exercise Selection: The book presents a vast array of exercises, encompassing various types of inequalities, such as linear, quadratic, absolute value, rational, and logarithmic inequalities. Each exercise is accompanied by detailed solutions, providing valuable insights and strategies. 2. Problem-Solving Techniques: In addition to solving individual exercises, readers will learn valuable problem-solving techniques and strategies that can be applied to a wide range of mathematical problems. These techniques include algebraic manipulation, graphing, substitution, and logical reasoning. 3. Self-Assessment and Progress Tracking: Self-assessment exercises allow readers to evaluate their progress, identify areas for improvement, and reinforce their understanding of the material. "Inequalities Math Exercises" is an invaluable companion for students preparing for standardized tests, such as the SAT, ACT, or GRE, as well as for teachers seeking to enrich their curriculum and provide additional practice material. This book also serves as a handy reference guide for mathematics enthusiasts who wish to deepen their knowledge and explore the captivating world of inequalities. Embark on a journey of mathematical discovery and develop the skills needed to conquer inequalities with confidence. Whether you're a student, an educator, or a curious mind, "Inequalities, things you should know, questions and answers" is your ultimate guide to mastering this vital branch of mathematics.
Author: Jeannie Oakes
Publisher: RAND Corporation
ISBN:
Category : Education
Languages : en
Pages : 168
Get Book Here
Book Description
This report examines the distribution of science and mathematics learning opportunities in the nation's elementary and secondary schools.
Author: Tony Croft
Publisher: Pearson UK
ISBN: 129225369X
Category : Engineering mathematics
Languages : en
Pages : 2342
Get Book Here
Book Description
Author: Praveen Agarwal
Publisher: Springer
ISBN: 9811330131
Category : Mathematics
Languages : en
Pages : 349
Get Book Here
Book Description
This book is a collection of original research and survey articles on mathematical inequalities and their numerous applications in diverse areas of mathematics and engineering. It includes chapters on convexity and related concepts; inequalities for mean values, sums, functions, operators, functionals, integrals and their applications in various branches of mathematics and related sciences; fractional integral inequalities; and weighted type integral inequalities. It also presents their wide applications in biomathematics, boundary value problems, mechanics, queuing models, scattering, and geomechanics in a concise, but easily understandable way that makes the further ramifications and future directions clear. The broad scope and high quality of the contributions make this book highly attractive for graduates, postgraduates and researchers. All the contributing authors are leading international academics, scientists, researchers and scholars.