Glimpses Into The World Of Mathematics
DOWNLOAD
Download Glimpses Into The World Of Mathematics PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Glimpses Into The World Of Mathematics book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Glimpses Into The World Of Mathematics
DOWNLOAD
Author : LIT Verlag
language : en
Publisher: LIT Verlag
Release Date : 2021-01-01
Glimpses Into The World Of Mathematics written by LIT Verlag and has been published by LIT Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-01 with Mathematics categories.
Essays collected in this volume deal with various problems from the philosophy of mathematics. What connects them are two questions: how mathematics is created and how it is acquired. In 'Three Worlds of Mathematics' we are familiarized with David Tall's ideas pertaining to the embodied, symbolic and formal worlds of mathematics. In 'Basic Ideas of Intuitionism', we focus on an epistemological approach to mathematics which is distinctive to constructive mathematics. The author focuses on the computational content of intuitionistic logic and shows how it relates to functional programming. 'The Brave Mathematical Ant' carefully selects mathematical puzzles related to teaching experiences in a way that the solution requires creativity and is not obtainable by following an algorithm. Moreover the solution gives us some new insight into the underlying idea. 'Degrees Of Accessibility Of Mathematical Objects' discusses various criteria which can be used to judge accessibility of mathematical objects. We find logical complexity, range of applications, existence of a physical model as well as aesthetic values. Jerzy Pogonowski, Faculty of Psychology and Cognitive Sciences, Adam Mickiewicz University, Pozna? Szymon Chlebowski, Faculty of Psychology and Cognitive Sciences, Adam Mickiewicz University, Pozna? Barbara Borkowicz, Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Pozna?
The Shape Of A Life
DOWNLOAD
Author : Shing-Tung Yau
language : en
Publisher: Yale University Press
Release Date : 2019-02-19
The Shape Of A Life written by Shing-Tung Yau and has been published by Yale University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-19 with Science categories.
A Fields medalist recounts his lifelong effort to uncover the geometric shape—the Calabi-Yau manifold—that may store the hidden dimensions of our universe. Harvard geometer Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems. With complicated ideas explained for a broad audience, this book offers not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics. “The remarkable story of one of the world’s most accomplished mathematicians . . . Yau’s personal journey—from escaping China as a youngster, leading a gang outside Hong Kong, becoming captivated by mathematics, to making breakthroughs that thrust him on the world stage—inspires us all with humankind’s irrepressible spirit of discovery.” —Brian Greene, New York Times–bestselling author of The Elegant Universe “An unexpectedly intimate look into a highly accomplished man, his colleagues and friends, the development of a new field of geometric analysis, and a glimpse into a truly uncommon mind.” —The Boston Globe “Engaging, eminently readable. . . . For those with a taste for elegant and largely jargon-free explanations of mathematics, The Shape of a Life promises hours of rewarding reading.” —American Scientist
An Expedition Into Higher Mathematics
DOWNLOAD
Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date :
An Expedition Into Higher Mathematics written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
"An Expedition into Higher Mathematics" is an immersive journey through the captivating world of advanced mathematical concepts, principles, and applications. This comprehensive guide invites readers to embark on an intellectual adventure, unlocking the mysteries of higher mathematics and gaining a deeper understanding of the universe we inhabit. Within these pages, readers will traverse a vast landscape of mathematical ideas, from the fundamental building blocks of logic and reasoning to the intricate realms of abstract algebra and topology. They will explore the world of functions, unraveling their properties and applications, and delve into calculus, discovering the powerful tools of differentiation and integration to reveal the secrets of change and motion. The journey continues through the captivating world of linear algebra, where matrices and vectors dance in harmonious relationships, and abstract algebra, where groups, rings, and fields unveil the hidden symmetries and structures that underpin our universe. Topology, with its elegant concepts of open and closed sets, continuity, and connectedness, guides readers through the intricate landscapes of mathematical spaces. Differential geometry takes readers on a journey along curves and surfaces, revealing the interplay between geometry and calculus. Non-Euclidean geometry challenges intuitions, inviting readers to explore worlds beyond their everyday experiences. Fractals, with their intricate patterns and self-similarity, unveil the beauty and complexity hidden within chaos. Throughout this expedition, readers will encounter a myriad of applications, showcasing the power of mathematics in diverse fields such as physics, engineering, computer science, and finance. Each chapter concludes with a collection of exercises and thought-provoking problems, designed to reinforce understanding and foster critical thinking. "An Expedition into Higher Mathematics" is an essential resource for students, researchers, and enthusiasts seeking to expand their mathematical knowledge and deepen their understanding of the world around them. It is a transformative journey into the captivating realm of higher mathematics, unlocking the secrets of the universe and expanding the boundaries of human knowledge. If you like this book, write a review!
Humanizing Mathematics And Its Philosophy
DOWNLOAD
Author : Bharath Sriraman
language : en
Publisher: Birkhäuser
Release Date : 2017-11-07
Humanizing Mathematics And Its Philosophy written by Bharath Sriraman and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-07 with Mathematics categories.
This Festschrift contains numerous colorful and eclectic essays from well-known mathematicians, philosophers, logicians, and linguists celebrating the 90th birthday of Reuben Hersh. The essays offer, in part, attempts to answer the following questions set forth by Reuben himself as a focus for this volume: Can practicing mathematicians, as such, contribute anything to the philosophy of math? Can or should philosophers of math, as such, say anything to practicing mathematicians? Twenty or fifty years from now, what will be similar, and what will, or could, or should be altogether different: About the philosophy of math? About math education? About math research institutions? About data processing and scientific computing? The essays also offer glimpses into Reuben’s fertile mind and his lasting influence on the mathematical community, as well as revealing the diverse roots, obstacles and philosophical dispositions that characterize the working lives of mathematicians. With contributions from a veritable “who’s who” list of 20th century luminaries from mathematics and philosophy, as well as from Reuben himself, this volume will appeal to a wide variety of readers from curious undergraduates to prominent mathematicians.
Mathematical Explorations A Journey Into The Realm Of Problem Solving
DOWNLOAD
Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-07-10
Mathematical Explorations A Journey Into The Realm Of Problem Solving written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-10 with Mathematics categories.
Embark on an extraordinary mathematical journey that will unlock the secrets of numbers, shapes, patterns, and more. "Mathematical Explorations: A Journey into the Realm of Problem-Solving" is a comprehensive guide that will ignite your passion for mathematics and empower you to conquer any mathematical challenge. This meticulously crafted book takes you on a guided tour of the captivating world of mathematics, starting with the fundamental concepts of number systems and modular arithmetic. You will delve into the enigmatic realm of prime numbers and unravel the complexities of Diophantine equations. As you venture deeper, you will encounter the fascinating landscapes of geometry, where Euclidean and non-Euclidean worlds collide. Geometric inequalities, trigonometry, and coordinate geometry will reveal their hidden symmetries and elegant proofs. The captivating world of algebra awaits, where algebraic structures, polynomials, and linear algebra will empower you to solve complex problems. Number theory and Diophantine equations will challenge your problem-solving skills, while Olympiad algebra will provide a glimpse into the competitive world of mathematical tournaments. The realm of combinatorics offers an intriguing puzzle to solve, with permutations and combinations, graph theory, and generating functions. Pólya's Enumeration Theorem will provide a framework for understanding the art of counting. Mathematical reasoning sharpens your critical thinking skills, and proof techniques will empower you to construct rigorous mathematical arguments. Mathematical induction and set theory will provide a solid foundation for understanding the nature of mathematical objects. No exploration of mathematics would be complete without venturing into the competitive arena of Olympiads. This book will equip you with the strategies and techniques that have propelled countless students to success in these prestigious competitions. Problem-solving strategies will provide a roadmap for tackling complex mathematical challenges, and Olympiad problem analysis will reveal the thought processes of expert problem-solvers. As you approach the end of your mathematical odyssey, you will encounter the frontiers of mathematics, where calculus, real analysis, complex analysis, number theory, and topology will challenge your understanding of mathematical concepts. The history of mathematics will unravel the stories of brilliant minds that have shaped the subject, and the philosophy of mathematics will challenge your assumptions about the nature of mathematical truth. Throughout this journey, you will not only encounter the technical aspects of mathematics but also explore its deeper philosophical and historical roots. The beauty of mathematics will captivate your senses, and you will discover the profound connections between mathematics and art, music, and nature. Whether you are a student preparing for mathematical competitions, a teacher seeking to inspire your students, or a lifelong learner eager to expand your mathematical knowledge, this book will be your trusted companion. "Mathematical Explorations: A Journey into the Realm of Problem-Solving" will unlock your potential and empower you to conquer any mathematical challenge. If you like this book, write a review!
Glimpses Of Soliton Theory
DOWNLOAD
Author : Alex Kasman
language : en
Publisher: American Mathematical Soc.
Release Date : 2010
Glimpses Of Soliton Theory written by Alex Kasman and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
Glimpses of Soliton Theory addresses some of the hidden mathematical connections in soliton theory which have been revealed over the last half-century. It aims to convince the reader that, like the mirrors and hidden pockets used by magicians, the underlying algebro-geometric structure of soliton equations provides an elegant and surprisingly simple explanation of something seemingly miraculous. --
Mathematical Olympiad Challenges
DOWNLOAD
Author : Titu Andreescu
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-04
Mathematical Olympiad Challenges written by Titu Andreescu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-04 with Mathematics categories.
Hundreds of beautiful, challenging, and instructive problems from algebra, geometry, trigonometry, combinatorics, and number theory Historical insights and asides are presented to stimulate further inquiry Emphasis is on creative solutions to open-ended problems Many examples, problems and solutions, with a user-friendly and accessible style Enhanced motivatio References
Career Paths In Mathematics Exploring Opportunities And Making Choices
DOWNLOAD
Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-04-25
Career Paths In Mathematics Exploring Opportunities And Making Choices written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-25 with Mathematics categories.
In a world awash with information, mathematics stands as a beacon of clarity and precision. Its universal language transcends cultural and linguistic boundaries, connecting minds across time and space. From the intricate patterns of nature to the complexities of modern technology, mathematics provides a framework for understanding the universe we inhabit. This comprehensive guide to the world of mathematics invites readers on a journey of discovery, unveiling the beauty, power, and practical applications of this captivating subject. Delve into the fascinating history of mathematics, tracing its evolution from ancient civilizations to the present day. Explore the diverse branches of mathematics, from the fundamental concepts of arithmetic and algebra to the intricate theories of calculus and statistics. Uncover the hidden elegance of numbers, revealing their patterns, symmetries, and relationships. Witness the transformative power of mathematics in action, as it is applied to solve real-world problems in fields as varied as medicine, finance, and computer science. Encounter inspiring stories of mathematicians who have dedicated their lives to pushing the boundaries of knowledge, leaving an indelible mark on the world. Whether you are a student seeking to deepen your understanding of mathematics, a professional seeking to expand your skillset, or simply a curious mind eager to explore the wonders of this captivating subject, this book is your gateway to a world of intellectual adventure. Discover the beauty, power, and transformative nature of mathematics, and gain a deeper appreciation for its profound impact on our lives. Embark on this mathematical odyssey and unlock the secrets of the universe. From the enchanting realm of numbers to the frontiers of modern research, this book is your guide to the fascinating world of mathematics. If you like this book, write a review on google books!
Mathematics Education Research A Guide For The Research Mathematician
DOWNLOAD
Author : Curtis C. McKnight
language : en
Publisher: American Mathematical Soc.
Release Date : 2000
Mathematics Education Research A Guide For The Research Mathematician written by Curtis C. McKnight and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Education categories.
Mathematics education research in undergraduate mathematics has increased significantly in the last decade and shows no signs of abating in the near future. Thus far, this research has often been associated with innovations in curriculum such as calculus reform, statistics education, and the use of computational and graphing technology in instruction. Mathematics education research, carefully conducted, is something far more fundamental and widely useful than might be implied by its use by the advocates of innovation in undergraduate mathematics education. Most simply, mathematics education research is inquiry by carefully developed research methods aimed at providing evidence about the nature and relationships of many mathematics learning and teaching phenomena. It seeks to clarify the phenomena, illuminate them, explain how they are related to other phenomena, and explain how this may be related to undergraduate mathematics course organization and teaching. This book-the collaborative effort of a research mathematician, mathematics education researchers who work in a research mathematics department and a professional librarian-introduces research mathematicians to education research. The work presents a non-jargon introduction for educational research, surveys the more commonly used research methods, along with their rationales and assumptions, and provides background and careful discussions to help research mathematicians read or listen to education research more critically. This guide is of practical interest to university-based research mathematicians, as it introduces the methodology of quantitative and qualitative research in education; provides critical guidelines for assessing the reliability and validity of mathematics education research; and explains how to use online database resources to locate education research. The book will also be valuable to graduate students in mathematics who are planning academic careers, and to mathematics department chairs and their deans.
30 Second Maths
DOWNLOAD
Author : Richard J. Brown
language : en
Publisher: Icon Books Ltd
Release Date : 2012-05-03
30 Second Maths written by Richard J. Brown and has been published by Icon Books Ltd this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-03 with Science categories.
From Rubik's cubes to Godel's incompleteness theorem, everything mathematical explained, with colour illustrations, in half a minute. Maths is enjoying a resurgence in popularity. So how can you avoid being the only dinner guest who has no idea who Fermat was, or what he proved? The more you know about Maths, the less of a science it becomes. 30 Second Maths takes the top 50 most engaging mathematical theories, and explains them to the general reader in half a minute, using nothing more than two pages, 200 words and one picture. Read at your own pace, and discover that maths can be more fascinating than you ever imagined.