{"title":"History \u0026 Philosophy","description":"\u003cp\u003eHistory \u0026amp; Philosophy in mathematics examines how mathematical thought has evolved over time and the foundational questions behind the field. This category covers the lives and contributions of influential mathematicians, paradigm shifts in mathematical understanding, as well as debates about logic, proof, and the reliability of mathematical knowledge. Readers will find resources that trace the development of key concepts and explore philosophical issues unique to mathematics.\u003c\/p\u003e\u003cp\u003eFocusing on History \u0026amp; Philosophy distinguishes this subject from general mathematics by highlighting not only how concepts were discovered but also why fundamental questions arise and persist. Use this category to concentrate on biographical accounts, the evolution of mathematical theories, or inquiries into the meaning and limits of mathematical truth. This perspective supports deeper inquiry for anyone exploring the roots and reasoning of mathematics.\u003c\/p\u003e","products":[{"product_id":"circularity-common-secret-paradox-sci-revolutio-humor-9789814723671-new","title":"Circularity: Common Secret to Paradox, Sci Revolutio \u0026 Humor","description":"\u003cp\u003e\u003cem\u003e\"The book is divided into 8-10 chapters that are each only 2 or 3 pages long ... this feels like a nice feature of the book, since you can dip in and just read a short bite before moving on. The author clearly has some interesting ideas and at times I found his writing to be quite engaging.\"\u003c\/em\u003e\u003c\/p\u003e\u003cp\u003e\u003cem\u003eMAA Review\u003c\/em\u003e\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e\u003cem\u003e\"I did enjoy reading (and re-reading) this book very much. Reading it deserves a warm recommendation not only for mathematicians but for anybody ... this book makes you think about how and what you think you are thinking.\"\u003c\/em\u003e\u003c\/p\u003e\u003cp\u003e\u003cem\u003eEuropean Mathematical Society\u003c\/em\u003e\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e\"Circularity\" is the story of a Janus-faced conceptual structure, that on the one hand led to deep scientific discoveries, and on the other hand is used to trick the mind into believing the impossible. Alongside mathematical revolutions that eventually led to the invention of the computer, the book describes ancient paradoxes that arise from circular thinking. Another aspect of circularity, its ability to entertain, leads to a surprising insight on the time old question \"What is humor\". The book presents the ubiquity of circularity in many fields, and its power to confuse and to instruct.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543620026658,"sku":"9789814723671-new","price":61.48,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789814723671.jpg?v=1776386826"},{"product_id":"fields-medallists-lect-3rd-ed-9789814696180-new","title":"Fields Medallists Lect (3rd Ed)","description":"Although the Fields Medal does not have the same public recognition as the Nobel Prizes, they share a similar intellectual standing. It is restricted to one field -- that of mathematics. The medal is awarded to the best mathematicians who are 40 or younger, every four years.A list of Fields Medallists and their contributions provides a bird's-eye view of the major developments in mathematics over the past 80 years. It highlights the areas in which, at various times, the greatest progress has been made.The third edition of Fields Medallists' Lectures features additional contributions from: John W Milnor (1962), Enrico Bombieri (1974), Gerd Faltings (1986), Andrei Okounkov (2006), Terence Tao (2006), C","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543627858210,"sku":"9789814696180-new","price":61.53,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789814696180.jpg?v=1776387186"},{"product_id":"fields-medallists-lect-3rd-ed-9789814696173-new","title":"Fields Medallists Lect (3rd Ed)","description":"Although the Fields Medal does not have the same public recognition as the Nobel Prizes, they share a similar intellectual standing. It is restricted to one field -- that of mathematics. The medal is awarded to the best mathematicians who are 40 or younger, every four years.A list of Fields Medallists and their contributions provides a bird's-eye view of the major developments in mathematics over the past 80 years. It highlights the areas in which, at various times, the greatest progress has been made.The third edition of Fields Medallists' Lectures features additional contributions from: John W Milnor (1962), Enrico Bombieri (1974), Gerd Faltings (1986), Andrei Okounkov (2006), Terence Tao (2006), C","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543627890978,"sku":"9789814696173-new","price":82.3,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789814696173.jpg?v=1776387186"},{"product_id":"making-mathematics-more-practical-9789814569071-new","title":"Making Mathematics More Practical","description":"The book Making Mathematics Practical (published by World Scientific in 2011) proposes a new paradigm in teaching problem solving in secondary school mathematics classrooms. It is a report of the research project “Mathematical Problem Solving for Everyone” (MProSE), which attempts to provide all the necessary resources for teachers to teach problem solving in schools. This book reports as a follow-up on the actual enactment of the proposed MProSE problem solving curriculum in five Singapore schools. The experimental schools, which span across the entire spectrum of all Singapore secondary schools, report how they tweak the MProSE proposal to fit into their school curriculum, together with issues, challenges and success stories in implementing such an innovative curriculum in Singapore schools. It is an ideal handbook for educators who believe in problem solving as the core of mathematics curriculum and who wish to implement such an approach in their schools.","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543666983202,"sku":"9789814569071-new","price":40.7,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789814569071.jpg?v=1776388715"},{"product_id":"kam-story-the-friendly-introduction-content-9789814556583-new","title":"The Kam Story: The: A Friendly Introduction to the Content","description":"This is a semi-popular mathematics book aimed at a broad readership of mathematically literate scientists, especially mathematicians and physicists who are not experts in classical mechanics or KAM theory, and scientific-minded readers. Parts of the book should also appeal to less mathematically trained readers with an interest in the history or philosophy of science.The scope of the book is broad: it not only describes KAM theory in some detail, but also presents its historical context (thus showing why it was a \"breakthrough\"). Also discussed are applications of KAM theory (especially to celestial mechanics and statistical mechanics) and the parts of mathematics and physics in which KAM theory resides (dynamical systems, classical mechanics, and Hamiltonian perturbation theory).Although a number of sources on KAM theory are now available for experts, this book attempts to fill a long-standing gap at a more descriptive level. It stands out very clearly from existing publications on KAM theory because it leads the reader through an accessible account of the theory and places it in its proper context in mathematics, physics, and the history of science.","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543668457762,"sku":"9789814556583-new","price":79.16,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789814556583.jpg?v=1776388810"},{"product_id":"assessment-mathematics-classroom-9789814360975-new","title":"Assessment in the Mathematics Classroom","description":"The third in the series of yearbooks by the Association of Mathematics Educators in Singapore, Assessment in the Mathematics Classroom is unique as it addresses a focused theme on mathematics education. The objective is to encourage teachers and researchers to include assessment of non-cognitive attributes and to use techniques in addition to paper-and-pencil tests that focus on typical problems.Several renowned international researchers in the field have published their work in the book. The thirteen chapters of the book illustrate evidence-based practices that school teachers and researchers can experiment in their lessons to bring about meaningful learning outcomes. A recurring theme in most chapters is the widely circulated notions of formative assessment and assessment for learning. The book makes a significant contribution towards assessment in mathematics. It is a good resource for research students and a must-read mathematics educators.","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543704109346,"sku":"9789814360975-new","price":77.08,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789814360975.jpg?v=1776390126"},{"product_id":"mathematical-thinking-9789814350846-new","title":"Mathematical Thinking","description":"Developing mathematical thinking is one of major aims of mathematics education. In mathematics education research, there are a number of researches which describe what it is and how we can observe in experimental research. However, teachers have difficulties to develope it in the classrooms. This book is the result of lesson studies over the past 50 years. It describes three perspectives of mathematical thinking: Mathematical Attitude (Minds set), Mathematical Methods in General and Mathematical Ideas with Content and explains how to develop them in the classroom with illuminating examples.","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51543707549986,"sku":"9789814350846-new","price":47.97,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789814350846.jpg?v=1776390177"},{"product_id":"birth-numerical-analysis-9789812836250-new","title":"The Birth of Numerical Analysis","description":"The 1947 paper by John von Neumann and Herman Goldstine, \"Numerical Inverting of Matrices of High Order\" (Bulletin of the AMS, Nov. 1947), is considered as the birth certificate of numerical analysis. Since its publication, the evolution of this domain has been enormous. This book is a unique collection of contributions by researchers who have lived through this evolution, testifying about their personal experiences and sketching the evolution of their respective subdomains since the early years.","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544065868066,"sku":"9789812836250-new","price":113.44,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789812836250.jpg?v=1776397083"},{"product_id":"mathematics-its-historical-aspects-wonders-beyond-9789811249334-new","title":"Mathematics: Its Historical Aspects, Wonders and Beyond","description":"\u003cp\u003eWhenever the topic of mathematics is mentioned, people tend to indicate their weakness in the subject as a result of not having enjoyed its instruction during their school experience. Many students unfortunately do not have very positive experiences when learning mathematics, which can result from teachers who have a tendency \"to teach to the test\". This is truly unfortunate for several reasons. First, basic algebra and geometry, which are taken by almost all students, are not difficult subjects, and all students should be able to master them with the proper motivational instruction. Second, we live in a technical age, and being comfortable with basic mathematics can certainly help you deal with life's daily challenges. Other, less tangible reasons, are the pleasure one can experience from understanding the many intricacies of mathematics and its relation to the real world, experiencing the satisfaction of solving a mathematical problem, and discovering the intrinsic beauty and historical development of many mathematical expressions and relationships. These are some of the experiences that this book is designed to deliver to the reader.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003eThe book offers 101 mathematical gems, some of which may require a modicum of high school mathematics and others, just a desire to carefully apply oneself to the ideas. Many folks have spent years encountering mathematical terms, symbols, relationships and other esoteric expressions. Their origins and their meanings may never have been revealed, such as the symbols +, -, =, π. ꝏ, √, ∑, and many others. This book provides a delightful insight into the origin of mathematical symbols and popular theorems such as the Pythagorean Theorem and the Fibonacci Sequence, common mathematical mistakes and curiosities, intriguing number relationships, and some of the different mathematical procedures in various countries. The book uses a historical and cultural approach to the topics, which enhances the subject matter and greatly adds to its appeal. The mathematical material can, therefore, be more fully appreciated and understood by anyone who has a curiosity and interest in mathematics, especially if in their past experience they were expected to simply accept ideas and concepts without a clear understanding of their origins and meaning. It is hoped that this will cast a new and positive picture of mathematics and provide a more favorable impression of this most important subject and be a different experience than what many may have previously encountered. It is also our wish that some of the fascination and beauty of mathematics shines through in these presentations.\u003c\/p\u003e","brand":"WORLD SCIENTIFIC PUB CO INC","offers":[{"title":"New","offer_id":51544345936162,"sku":"9789811249334-new","price":51.09,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0893\/4755\/5618\/files\/9789811249334.jpg?v=1776401498"},{"product_id":"empty-full-li-ye-way-mathematics-9789811209475-new","title":"The Empty and the Full: Li Ye and the Way of Mathematics","description":"\u003cp\u003eDuring Song (960 to 1279) and Yuan (1279 to 1368) dynasties, China experienced a peak in high-level algebraic investigation through the works of famous mathematicians such as Qin Jiushao, Zhu Shijie, Yang Hui and Li Ye. Among these is Li Ye's short treatise on a curious ancient geometrical procedure: \u003cem\u003eThe Development of Pieces of Areas According to the Collection Augmenting the Ancient Knowledge (Yigu yanduan)\u003c\/em\u003e. The aim of this monography is to contradict traditional scholarship which has long discredited the importance of Li Ye's treatise, considering it a mere popular handbook. The author aims to show that Li Ye's work actually epitomizes a completely new aspect of ancient Chinese mathematics: a crossroad between algebra, geometry, and combinatorics containing elements reminiscent of the \u003cem\u003eBook of Changes (Yi Jing)\u003c\/em\u003e. As well as Li Ye used field measurement as pretext for investigations on quadratic equations and Changes, the present study uses Li Ye's small treatise as pretext for philosophical investigations on link between mathematics and their history. The real topic of the study is the exploration of another expression of proof and generality in Chinese mathematics. This book not only completes the edition of Li Ye's works and presents new features of Chinese mathematics, but also fills a gap in the translation of Chinese mathematics treatises.\u003c\/p\u003e\u003cp\u003eIt is the first book entirely dedicated to the diagrammatic practice of algebra in the history of Chinese mathematics. This practice is more important than expected. While being a monograph, the book is short and detailed enough to be used by students in class. 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Then follows the incredible saga of his creation of MATSCIENCE, The Institute of Mathematical Sciences, in Madras, inspired by his visit to the Institute for Advanced Study in Princeton, and the result of a Theoretical Physics Seminar which he organized in his family home Ekamra Nivas in Madras, which received the endorsement of Nobel Laureate Niels Bohr, and the support of India's Prime Minister Jawaharlal Nehru. Part II covers the period of Ramakrishnan's term as Director of MATSCIENCE, and his visits to about 200 centres of learning the world over, where he interacted with leading scientists and lectured on his research in the fields of Probability, Stochastic Processes, Elementary Particle Physics, Matrix Theory, and on his novel treatment of Einstein's Special Relativity. 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