A Mathematician S Journeys

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A Mathematician S Journeys
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Author : Alexander Jones
language : en
Publisher: Springer
Release Date : 2016-02-03
A Mathematician S Journeys written by Alexander Jones and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-03 with History categories.
This book explores facets of Otto Neugebauer's career, his impact on the history and practice of mathematics, and the ways in which his legacy has been preserved or transformed in recent decades, looking ahead to the directions in which the study of the history of science will head in the twenty-first century. Neugebauer, more than any other scholar of recent times, shaped the way we perceive premodern science. Through his scholarship and influence on students and collaborators, he inculcated both an approach to historical research on ancient and medieval mathematics and astronomy through precise mathematical and philological study of texts, and a vision of these sciences as systems of knowledge and method that spread outward from the ancient Near Eastern civilizations, crossing cultural boundaries and circulating over a tremendous geographical expanse of the Old World from the Atlantic to India.
A Mathematical Journey To Relativity
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Author : Wladimir-Georges Boskoff
language : en
Publisher: Springer Nature
Release Date : 2024-05-06
A Mathematical Journey To Relativity written by Wladimir-Georges Boskoff and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-06 with Science categories.
The 2nd edition of this textbook features more than 100 pages of new material, including four new chapters, as well as an improved discussion of differential geometry concepts and their applications. The textbook aims to provide a comprehensive geometric description of Special and General Relativity, starting from basic Euclidean geometry to more advanced non-Euclidean geometry and differential geometry. Readers will learn about the Schwarzschild metric, the relativistic trajectory of planets, the deflection of light, the black holes, and the cosmological solutions like de Sitter, Friedman-Lemaître-Robertson-Walker, and Gödel ones, as well as the implications of each of them for the observed physical world. In addition, the book provides step-by-step solutions to problems and exercises, making it an ideal introduction for undergraduate students and readers looking to gain a better understanding of Special and General Relativity. In this new edition, a wide discussion on metric-affine theories of gravity and equivalent formulations of General Relativity is reported. The aim is presenting also topics which could be useful for PhD students and researchers studying General Relativity from an advanced point of view.
A Mathematician S Journey To The Edge Of The Universe
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Author : Manjunath.R
language : en
Publisher: Manjunath.R
Release Date : 2020-02-20
A Mathematician S Journey To The Edge Of The Universe written by Manjunath.R and has been published by Manjunath.R this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-20 with Antiques & Collectibles categories.
Have you ever wondered what the ultimate question is? The one question that, if answered, would reveal the secrets of the universe? In this book, the author takes you on a journey to the edge of the universe, exploring the latest scientific theories about the origins, structure, and fate of our cosmos. Along the way, you'll learn about the Big Bang, dark matter, dark energy, black holes, string theory, and other mind-bending concepts. You'll also meet the brilliant scientists who have dedicated their lives to unravelling the mysteries of the universe. This thought-provoking book seamlessly weaves together the realms of mathematics, cosmology, and philosophy to unravel the profound enigmas that shroud our universe. It's also a personal journey of discovery, as the author shares his own passion for mathematics and his quest to find the ultimate question. Whether you're a math whiz or a complete novice, you'll find something to enjoy in this book. It's a fascinating read that will challenge your mind and expand your horizons. Here are some of the topics covered in the book: The history of astronomy and cosmology The laws of physics and their implications for the universe The Big Bang and the evolution of the universe Dark matter and dark energy Black holes and other exotic objects String theory and other unified theories of physics The ultimate question and the search for meaning The book is written in a clear and engaging style, and it's packed with interesting facts and insights. It's a must-read for anyone who's curious about the universe and the quest to find its ultimate secrets.
A Mathematical Journey Through Differential Equations Of Physics
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Author : Max Lein
language : en
Publisher: World Scientific
Release Date : 2022-09-16
A Mathematical Journey Through Differential Equations Of Physics written by Max Lein and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-16 with Science categories.
Mathematics is the language of physics, and over time physicists have developed their own dialect. The main purpose of this book is to bridge this language barrier, and introduce the readers to the beauty of mathematical physics. It shows how to combine the strengths of both approaches: physicists often arrive at interesting conjectures based on good intuition, which can serve as the starting point of interesting mathematics. Conversely, mathematicians can more easily see commonalities between very different fields (such as quantum mechanics and electromagnetism), and employ more advanced tools.Rather than focusing on a particular topic, the book showcases conceptual and mathematical commonalities across different physical theories. It translates physical problems to concrete mathematical questions, shows how to answer them and explains how to interpret the answers physically. For example, if two Hamiltonians are close, why are their dynamics similar?The book alternates between mathematics- and physics-centric chapters, and includes plenty of concrete examples from physics as well as 76 exercises with solutions. It exploits that readers from either end are familiar with some of the material already. The mathematics-centric chapters provide the necessary background to make physical concepts mathematically precise and establish basic facts. And each physics-centric chapter introduces physical theories in a way that is more friendly to mathematicians.As the book progresses, advanced material is sprinkled in to showcase how mathematics and physics augment one another. Some of these examples are based on recent publications and include material which has not been covered in other textbooks. This is to keep it interesting for the readers.
A Mathematical Journey To Quantum Mechanics
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Author : Salvatore Capozziello
language : en
Publisher: Springer Nature
Release Date : 2021-09-27
A Mathematical Journey To Quantum Mechanics written by Salvatore Capozziello and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-27 with Science categories.
This book provides an itinerary to quantum mechanics taking into account the basic mathematics to formulate it. Specifically, it features the main experiments and postulates of quantum mechanics pointing out their mathematical prominent aspects showing how physical concepts and mathematical tools are deeply intertwined. The material covers topics such as analytic mechanics in Newtonian, Lagrangian, and Hamiltonian formulations, theory of light as formulated in special relativity, and then why quantum mechanics is necessary to explain experiments like the double-split, atomic spectra, and photoelectric effect. The Schrödinger equation and its solutions are developed in detail. It is pointed out that, starting from the concept of the harmonic oscillator, it is possible to develop advanced quantum mechanics. Furthermore, the mathematics behind the Heisenberg uncertainty principle is constructed towards advanced quantum mechanical principles. Relativistic quantum mechanics is finally considered.The book is devoted to undergraduate students from University courses of Physics, Mathematics, Chemistry, and Engineering. It consists of 50 self-contained lectures, and any statement and theorem are demonstrated in detail. It is the companion book of "A Mathematical Journey to Relativity", by the same Authors, published by Springer in 2020.
Mathematical Bridge A An Intuitive Journey In Higher Mathematics 2nd Edition
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Author : Stephen Fletcher Hewson
language : en
Publisher: World Scientific Publishing Company
Release Date : 2009-01-20
Mathematical Bridge A An Intuitive Journey In Higher Mathematics 2nd Edition written by Stephen Fletcher Hewson and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-20 with Mathematics categories.
Although higher mathematics is beautiful, natural and interconnected, to the uninitiated it can feel like an arbitrary mass of disconnected technical definitions, symbols, theorems and methods. An intellectual gulf needs to be crossed before a true, deep appreciation of mathematics can develop. This book bridges this mathematical gap. It focuses on the process of discovery as much as the content, leading the reader to a clear, intuitive understanding of how and why mathematics exists in the way it does.The narrative does not evolve along traditional subject lines: each topic develops from its simplest, intuitive starting point; complexity develops naturally via questions and extensions. Throughout, the book includes levels of explanation, discussion and passion rarely seen in traditional textbooks. The choice of material is similarly rich, ranging from number theory and the nature of mathematical thought to quantum mechanics and the history of mathematics. It rounds off with a selection of thought-provoking and stimulating exercises for the reader.
A Journey Through Math Land
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Author : Reza Noubary
language : en
Publisher: Xlibris Corporation
Release Date : 2021-11-02
A Journey Through Math Land written by Reza Noubary and has been published by Xlibris Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-02 with Mathematics categories.
If you look at math by eyes you see symbols, by brain knowledge, by heart truth, and by soul God. This book is about flying over math-land, enjoying the view, and landing safely. It seems inconceivable how much we rely on mathematics/numbers in our daily lives and how natural it feels. Our birth is announced by a set of numbers representing the time, date, and our height and weight. We become a functioning member of society only after a Social Security number is assigned to us. Our health and fitness are evaluated using numbers representing our blood pressure, heart rate, body temperature, and so on. From that point onward, every action performed and every life encountered becomes part of our ongoing use of mathematics/numbers. This book traces applications of mathematics. The goal is to find a way to delight readers about the discipline and open the door for them to see its beauty by presenting a variety of applications. It is particularly useful for the individuals with some mathematics background or interests.
Journey Into Mathematics
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Author : Joseph J. Rotman
language : en
Publisher: Courier Corporation
Release Date : 2013-01-18
Journey Into Mathematics written by Joseph J. Rotman and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-18 with Mathematics categories.
This treatment covers the mechanics of writing proofs, the area and circumference of circles, and complex numbers and their application to real numbers. 1998 edition.
Journey Into Discrete Mathematics
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Author : Owen D. Byer
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-11-13
Journey Into Discrete Mathematics written by Owen D. Byer 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 2018-11-13 with Mathematics categories.
Journey into Discrete Mathematics is designed for use in a first course in mathematical abstraction for early-career undergraduate mathematics majors. The important ideas of discrete mathematics are included—logic, sets, proof writing, relations, counting, number theory, and graph theory—in a manner that promotes development of a mathematical mindset and prepares students for further study. While the treatment is designed to prepare the student reader for the mathematics major, the book remains attractive and appealing to students of computer science and other problem-solving disciplines. The exposition is exquisite and engaging and features detailed descriptions of the thought processes that one might follow to attack the problems of mathematics. The problems are appealing and vary widely in depth and difficulty. Careful design of the book helps the student reader learn to think like a mathematician through the exposition and the problems provided. Several of the core topics, including counting, number theory, and graph theory, are visited twice: once in an introductory manner and then again in a later chapter with more advanced concepts and with a deeper perspective. Owen D. Byer and Deirdre L. Smeltzer are both Professors of Mathematics at Eastern Mennonite University. Kenneth L. Wantz is Professor of Mathematics at Regent University. Collectively the authors have specialized expertise and research publications ranging widely over discrete mathematics and have over fifty semesters of combined experience in teaching this subject.
Mathematics Through Time A Global Journey
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-05-21
Mathematics Through Time A Global Journey 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 2025-05-21 with Mathematics categories.
Mathematics Through Time: A Global Journey is a comprehensive and engaging exploration of the history of mathematics, from its origins in ancient civilizations to its modern applications in science, technology, and everyday life. This book takes readers on a journey through the development of mathematical ideas and concepts, highlighting the contributions of mathematicians from all over the world. With its clear and accessible writing style, Mathematics Through Time makes mathematics accessible to readers of all backgrounds. The book is packed with fascinating stories about the lives and work of mathematicians, as well as illuminating examples of how mathematics has been used to solve problems and make discoveries. Readers will learn about the Pythagorean theorem, the Fibonacci sequence, the calculus, and many other important mathematical concepts. They will also explore the different branches of mathematics, such as algebra, geometry, and statistics, and see how they are used in the real world. Mathematics Through Time is more than just a history book. It is also a celebration of the beauty and power of mathematics. The book shows how mathematics can be used to create art, music, and literature. It also explores the relationship between mathematics and philosophy, and the role that mathematics plays in our understanding of the universe. Whether you are a student, a teacher, or simply someone who is interested in learning more about mathematics, Mathematics Through Time is the perfect book for you. It is a book that will inform, inspire, and entertain you. This book is a comprehensive and authoritative guide to the history of mathematics. It is written in a clear and engaging style, making it accessible to readers of all levels. Mathematics Through Time is a valuable resource for students, teachers, and anyone who is interested in learning more about the history of this fascinating subject. If you like this book, write a review on google books!