Bounded Cohomology and Simplicial Volume
Since their introduction by Gromov in the 1980s, the study of bounded cohomology and simplicial volume has developed into an active field connected to geometry and group theory. This monograph, arising from a learning seminar for young researchers working in the area, provides a collection of different perspectives on the subject, both classical and recent. The book's introduction presents the main definitions of the theories of bounded cohomology and simplicial volume, outlines their history, and explains their principal motivations and applications. Individual chapters then present different aspects of the theory, with a focus on examples. Detailed references to foundational papers and the latest research are given for readers wishing to dig deeper. The prerequisites are only basic knowledge of classical algebraic topology and of group theory, and the presentations are gentle and informal in order to be accessible to beginning graduate students wanting to enter this lively and topical field.
The Philosophical And Mathematical Commentaries Of Proclus On The First Book Of Euclid's Elements
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Control of Partial Differential Equations
This book is mainly a collection of lecture notes for the 2021 LIASFMA International Graduate School on Applied Mathematics. It provides the readers some important results on the theory, the methods, and the application in the field of 'Control of Partial Differential Equations'. It is useful for researchers and graduate students in mathematics or control theory, and for mathematicians or engineers with an interest in control systems governed by partial differential equations.
Oeuvres Compl癡tes De N. H. Abel, Math矇maticien, Avec Des Notes Et D矇veloppements, R矇dig矇es Par Ordre Du Roi
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Mathematics and Its Creators
By reading this book, you will learn about the geniuses of mathematics and their life stories. This book provides the history of math from prehistoric times to modern day. It highlights the lives of 70 greatest mathematicians throughout history. It described how math was developed through time by all over the world and how mathematics grew with each mathematician's contributions.Dr. Edmund Isakov. Ph.D., has enjoyed a long and distinguished career in metalworking. He earned his Doctor of Philosophy degree in Mechanical Engineering at the V. Bakul Institute for Superhard Materials (Kiev, Ukraine). He is known for his work in research, development and applications of cutting tools for milling, turning and boring. Dr. Isakov has authored Mechanical Properties of Work Materials and numerous articles and papers on metal cutting. He holds several U.S. patents and numerous U.S.S.R Inventor's Certificates pertaining to carbide and diamond tools. during nearly two decades at Kennametal, Inc., he became a noted authority on the technical analysis of cutting tools. Dr. Isakov is now an independent consultant and manufacturing sciences writer based in Florida. He is a senior member of SME.
Landscapes of Investigation
Creating landscapes of investigation is a primary concern of critical mathematics education. It enables us to organise educational processes so that students and teachers are able to get involved in explorations guided by dialogical interactions. It attempts to address explicit or implicit forms of social injustice by means of mathematics, and also to promote a critical conception of mathematics, challenging the assumption that the subject represents objectivity and neutrality. Landscapes of Investigation provides many illustrations of how this can be done in primary, secondary, and university education. It also illustrates how exploring landscapes of investigation can contribute to mathematics teacher education programmes.This edited volume is the result of a collaboration established through the Colloquium in Research in Critical Mathematics Education, which took place in 2016, 2018, and 2019 in Brazil. Its twenty-eight contributors are young researchers from Brazil, Chile, Colombia, India, Mexico and the USA, who are dedicated to the further development of critical mathematics education.Organised in eighteen chapters, the volume presents examples of engaging students from a diversity of social and economic backgrounds, age ranges, and abilities across different countries. The chapters present original findings on the social aspects of all levels of mathematics education. Landscapes of Investigation is of particular relevance to those with an interest in the potential of mathematics education to challenge social injustices.
A Long Way From Euclid
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Mathematical Questions and Solutions; Volume LXVII
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Greek Geometry From Thales to Euclid
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Spiral Slide Rule
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Mathematics and Science Last Essays
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The Railroad Spiral
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The Tutor's Assistant
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Elements of the Differential and Integral Calculus
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Universal Dictionary of Weights and Measures, Ancient and Modern; Reduced to the Standarus of the United States of America
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50 Math Ideas You Really Need to Know
In a series of 50 accessible essays, Tony Crilly explains and introduces the mathematical laws and principles-ancient and modern, theoretical and practical, everyday and esoteric-that allow us to understand the world around us. From Pascal's triangle to money management, ideas of relativity to the very real uses of imaginary numbers, 50 Math Ideas is a complete introduction to the most important mathematical concepts in history.
The Laplace Transform
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Exercises in Electrical and Magnetic Measurement
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A Treatise on Mathematical Instruments
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Conservation Laws, Extended Polymatroids and Multi-armed Bandit Problems
Geometrical Investigation of the Formation of Images in Optical Instruments
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Elements of the Differential and Integral Calculus
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Elementary Illustrations of the Differential and Integral Calculus
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Grundz羹ge der Differential- und Integralrechnung
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Elementary Illustrations of the Differential and Integral Calculus
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Principles of Setting-Out, Securing and Tooling Operations for Engineering Students and Apprentices and Students in Manual Training--Metal Work
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A First Course in Graph Theory and Combinatorics
This book discusses the origin of graph theory from its humble beginnings in recreational mathematics to its modern setting or modeling communication networks, as is evidenced by the World Wide Web graph used by many Internet search engines. The second edition of the book includes recent developments in the theory of signed adjacency matrices involving the proof of sensitivity conjecture and the theory of Ramanujan graphs. In addition, the book discusses topics such as Pick's theorem on areas of lattice polygons and Graham-Pollak's work on addressing of graphs. The concept of graph is fundamental in mathematics and engineering, as it conveniently encodes diverse relations and facilitates combinatorial analysis of many theoretical and practical problems. The text is ideal for a one-semester course at the advanced undergraduate level or beginning graduate level.
Dimensional Analysis
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Engineering Mathematics
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A Long Way From Euclid
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Mathematical and Physical Papers; Volume 2
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Le癟ons sur la Th矇orie des Fonctions
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Variations on a Theme of Borel
In the middle of the last century, after hearing a talk of Mostow on one of his rigidity theorems, Borel conjectured in a letter to Serre a purely topological version of rigidity for aspherical manifolds (i.e. manifolds with contractible universal covers). The Borel conjecture is now one of the central problems of topology with many implications for manifolds that need not be aspherical. Since then, the theory of rigidity has vastly expanded in both precision and scope. This book rethinks the implications of accepting his heuristic as a source of ideas. Doing so leads to many variants of the original conjecture - some true, some false, and some that remain conjectural. The author explores this collection of ideas, following them where they lead whether into rigidity theory in its differential geometric and representation theoretic forms, or geometric group theory, metric geometry, global analysis, algebraic geometry, K-theory, or controlled topology.
Anatomical Terminology With Special Reference to the BNA
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John Napier and the Invention of Logarithms, 1614; a Lecture
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Principles of Logic
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