On the continuity of numbers which establish direct connection between many foundational problems of mathematics

On the continuity of numbers which establish direct connection between many foundational problems of mathematics PDF Author: Sunny Kumar Saini
Publisher: Aryabhatasya Academy of Mathematics
ISBN:
Category : Juvenile Nonfiction
Languages : en
Pages : 35

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Book Description
This is under review article,,,,here only for free criticism

On the continuity of numbers which establish direct connection between many foundational problems of mathematics

On the continuity of numbers which establish direct connection between many foundational problems of mathematics PDF Author: Sunny Kumar Saini
Publisher: Aryabhatasya Academy of Mathematics
ISBN:
Category : Juvenile Nonfiction
Languages : en
Pages : 35

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Book Description
This is under review article,,,,here only for free criticism

The History of Mathematics

The History of Mathematics PDF Author: Roger L. Cooke
Publisher: John Wiley & Sons
ISBN: 1118030249
Category : Mathematics
Languages : en
Pages : 630

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Book Description
This new edition brings the fascinating and intriguing history of mathematics to life The Second Edition of this internationally acclaimed text has been thoroughly revised, updated, and reorganized to give readers a fresh perspective on the evolution of mathematics. Written by one of the world's leading experts on the history of mathematics, the book details the key historical developments in the field, providing an understanding and appreciation of how mathematics influences today's science, art, music, literature, and society. In the first edition, each chapter was devoted to a single culture. This Second Edition is organized by subject matter: a general survey of mathematics in many cultures, arithmetic, geometry, algebra, analysis, and mathematical inference. This new organization enables students to focus on one complete topic and, at the same time, compare how different cultures approached each topic. Many new photographs and diagrams have been added to this edition to enhance the presentation. The text is divided into seven parts: The World of Mathematics and the Mathematics of the World, including the origin and prehistory of mathematics, cultural surveys, and women mathematicians Numbers, including counting, calculation, ancient number theory, and numbers and number theory in modern mathematics Color Plates, illustrating the impact of mathematics on civilizations from Egypt to Japan to Mexico to modern Europe Space, including measurement, Euclidean geometry, post-Euclidean geometry, and modern geometrics Algebra, including problems leading to algebra, equations and methods, and modern algebra Analysis, including the calculus, real, and complex analysis Mathematical Inference, including probability and statistics, and logic and set theory As readers progress through the text, they learn about the evolution of each topic, how different cultures devised their own solutions, and how these solutions enabled the cultures to develop and progress. In addition, readers will meet some of the greatest mathematicians of the ages, who helped lay the groundwork for today's science and technology. The book's lively approach makes it appropriate for anyone interested in learning how the field of mathematics came to be what it is today. It can also serve as a textbook for undergraduate or graduate-level courses. An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department.

Mathematical Thinking and Problem Solving

Mathematical Thinking and Problem Solving PDF Author: Alan H. Schoenfeld
Publisher: Routledge
ISBN: 113544093X
Category : Education
Languages : en
Pages : 303

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Book Description
In the early 1980s there was virtually no serious communication among the various groups that contribute to mathematics education -- mathematicians, mathematics educators, classroom teachers, and cognitive scientists. Members of these groups came from different traditions, had different perspectives, and rarely gathered in the same place to discuss issues of common interest. Part of the problem was that there was no common ground for the discussions -- given the disparate traditions and perspectives. As one way of addressing this problem, the Sloan Foundation funded two conferences in the mid-1980s, bringing together members of the different communities in a ground clearing effort, designed to establish a base for communication. In those conferences, interdisciplinary teams reviewed major topic areas and put together distillations of what was known about them.* A more recent conference -- upon which this volume is based -- offered a forum in which various people involved in education reform would present their work, and members of the broad communities gathered would comment on it. The focus was primarily on college mathematics, informed by developments in K-12 mathematics. The main issues of the conference were mathematical thinking and problem solving.

David Hilbert and the Axiomatization of Physics (1898–1918)

David Hilbert and the Axiomatization of Physics (1898–1918) PDF Author: L. Corry
Publisher: Springer Science & Business Media
ISBN: 1402027788
Category : Science
Languages : en
Pages : 542

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Book Description
David Hilbert (1862-1943) was the most influential mathematician of the early twentieth century and, together with Henri Poincaré, the last mathematical universalist. His main known areas of research and influence were in pure mathematics (algebra, number theory, geometry, integral equations and analysis, logic and foundations), but he was also known to have some interest in physical topics. The latter, however, was traditionally conceived as comprising only sporadic incursions into a scientific domain which was essentially foreign to his mainstream of activity and in which he only made scattered, if important, contributions. Based on an extensive use of mainly unpublished archival sources, the present book presents a totally fresh and comprehensive picture of Hilbert’s intense, original, well-informed, and highly influential involvement with physics, that spanned his entire career and that constituted a truly main focus of interest in his scientific horizon. His program for axiomatizing physical theories provides the connecting link with his research in more purely mathematical fields, especially geometry, and a unifying point of view from which to understand his physical activities in general. In particular, the now famous dialogue and interaction between Hilbert and Einstein, leading to the formulation in 1915 of the generally covariant field-equations of gravitation, is adequately explored here within the natural context of Hilbert’s overall scientific world-view. This book will be of interest to historians of physics and of mathematics, to historically-minded physicists and mathematicians, and to philosophers of science.

Mathematical Survey Lectures 1943-2004

Mathematical Survey Lectures 1943-2004 PDF Author: Beno Eckmann
Publisher: Springer Science & Business Media
ISBN: 3540337911
Category : Mathematics
Languages : en
Pages : 264

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Book Description
This collection of survey lectures in mathematics traces the career of Beno Eckmann, whose work ranges across a broad spectrum of mathematical concepts from topology through homological algebra to group theory. One of our most influential living mathematicians, Eckmann has been associated for nearly his entire professional life with the Swiss Federal Technical University (ETH) at Zurich, as student, lecturer, professor, and professor emeritus.

For the Learning of Mathematics

For the Learning of Mathematics PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 350

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Book Description


Optimization Theory with Applications

Optimization Theory with Applications PDF Author: Donald A. Pierre
Publisher: Courier Corporation
ISBN: 0486136957
Category : Mathematics
Languages : en
Pages : 644

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Book Description
Broad-spectrum approach to important topic. Explores the classic theory of minima and maxima, classical calculus of variations, simplex technique and linear programming, optimality and dynamic programming, more. 1969 edition.

Photonic Crystals: Mathematical Analysis and Numerical Approximation

Photonic Crystals: Mathematical Analysis and Numerical Approximation PDF Author: Willy Dörfler
Publisher: Springer Science & Business Media
ISBN: 3034801130
Category : Mathematics
Languages : en
Pages : 169

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Book Description
This book concentrates on the mathematics of photonic crystals, which form an important class of physical structures investigated in nanotechnology. Photonic crystals are materials which are composed of two or more different dielectrics or metals, and which exhibit a spatially periodic structure, typically at the length scale of hundred nanometers. In the mathematical analysis and the numerical simulation of the partial differential equations describing nanostructures, several mathematical difficulties arise, e. g., the appropriate treatment of nonlinearities, simultaneous occurrence of continuous and discrete spectrum, multiple scales in space and time, and the ill-posedness of these problems. This volume collects a series of lectures which introduce into the mathematical background needed for the modeling and simulation of light, in particular in periodic media, and for its applications in optical devices.

McGraw-Hill Books, Including the Publications of Whittlesey House

McGraw-Hill Books, Including the Publications of Whittlesey House PDF Author: McGraw-Hill Book Company
Publisher:
ISBN:
Category : Industrial arts
Languages : en
Pages : 320

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Book Description


Mathematics for Life and Work A Comparative Perspective on Mathematics to Inform Upper Secondary Reform in England

Mathematics for Life and Work A Comparative Perspective on Mathematics to Inform Upper Secondary Reform in England PDF Author: OECD
Publisher: OECD Publishing
ISBN: 9264523669
Category :
Languages : en
Pages : 208

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Book Description
Engagement and performance in mathematics at the upper secondary level have been the concern of successive governments in England. This report was commissioned as part of the country's policy reflections for transforming how maths is viewed and experienced in England. The report explores outcomes such as the share of students studying maths and performance across countries, and how education systems internationally deliver mathematics in upper secondary. It also examines factors shaping maths education, including the expectations set by curricula, student pathways, cultural perceptions, and the needs of the labour market and higher education.