Journey Into Mathematics
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1089 And All That
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Author : D. J. Acheson
language : en
Publisher: Oxford University Press, USA
Release Date : 2002
1089 And All That written by D. J. Acheson and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
This excellent book, written by the established author David Acheson, makes mathematics accessible to everyone. Providing an entertaining and witty overview of the subject, the text includes several fascinating puzzles, and is accompanied by numerous illustrations and sketches by world famouscartoonists. This unusual book is one of the most readable explanations of mathematics available.
Journey Into Mathematics An Introduction With Proofs
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Author : Joseph J. Rotman
language : en
Publisher:
Release Date :
Journey Into Mathematics An Introduction With Proofs written by Joseph J. Rotman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Proof theory categories.
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.
A Journey In Mathematics Education Research
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Author : Erna Yackel
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-30
A Journey In Mathematics Education Research written by Erna Yackel 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 2010-11-30 with Education categories.
Our objective is to publish a book that lays out the theoretical constructs and research methodologies within mathematics education that have been developed by Paul Cobb and explains the process of their development. We propose to do so by including papers in which Cobb introduced new theoretical perspectives and methodologies into the literature, each preceded by a substantive accompanying introductory paper that explains the motivation/rationale for developing the new perspectives and/or methodologies and the processes through which they were developed, and Cobb’s own retrospective comments. In this way the book provides the reader with heretofore unpublished material that lays out in considerable detail the issues and problems that Cobb has confronted in his work, that, from his viewpoint, required theoretical and methodological shifts/advances and provides insight into how he has achieved the shifts/advances. The result will be a volume that, in addition to explaining Cobb’s contributions to the field of mathematics education, also provides the reader with insight into what is involved in developing an aggressive and evolving research program. When Cobb confronts problems and issues in his work that cannot be addressed using his existing theories and frameworks, he looks to other fields for theoretical inspiration. A critical feature of Cobb’s work is that in doing so, he consciously appropriates and adapts ideas from these other fields to the purpose of supporting processes of learning and teaching mathematics; He does not simply accept the goals or motives of those fields. As a result, Cobb reconceptualizes and reframes issues and concepts so that they result in new ways of investigating, exploring, and explaining phenomena that he encounters in the practical dimensions of his work, which include working in classrooms, with teachers, and with school systems. The effect is that the field of mathematics education is altered. Other researchers have foundhis "new ways of looking" useful to them. And they, in turn, adapt these ideas for their own use. The complexity of many of the ideas that Cobb has introduced into the field of mathematics education can lead to a multiplicity of interpretations by practitioners and by other researchers, based on their own experiential backgrounds. Therefore, by detailing the development of Cobb’s work, including the tensions involved in coming to grips with and reconciling apparently contrasting perspectives, the book will shed additional light on the processes of reconceptualization and thus help the reader to understand the reasons, mechanisms, and outcomes of researchers’ constant pursuit of new insights.
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.
Julia A Life In Mathematics
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Author : Constance Reid
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-08-03
Julia A Life In Mathematics written by Constance Reid 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 2020-08-03 with Mathematics categories.
In high school, Julia Bowman stood alone as the only girl - and the best student - in the junior and senior math classes. She had only one close friend and no boyfriends. Although she was to learn that there are such people as mathematicians, her ambition was merely to get a job teaching mathematics in high school. At great sacrifice, her widowed stepmother sent her to the University of California at Berkeley. But at Berkeley, in a society of mathematicians, she discovered herself. There was also a prince at Berkeley, a brilliant young assistant professor named Raphael Robinson. Theirs was to be a marriage that would endure until her death in 1985. Julia is the story of Julia Bowman Robinson, the gifted and highly original mathematician who during her lifetime was recognized in ways that no other woman mathematician had ever been recognized. This unusual book brings together in one volume the prize winning Autobiography of Julia Robinson by her sister, the popular mathematical biographer Constance Reid, and three very personal articles about her work by outstanding mathematical colleagues.
Proof Technology In Mathematics Research And Teaching
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Author : Gila Hanna
language : en
Publisher: Springer Nature
Release Date : 2019-10-02
Proof Technology In Mathematics Research And Teaching written by Gila Hanna and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-02 with Education categories.
This book presents chapters exploring the most recent developments in the role of technology in proving. The full range of topics related to this theme are explored, including computer proving, digital collaboration among mathematicians, mathematics teaching in schools and universities, and the use of the internet as a site of proof learning. Proving is sometimes thought to be the aspect of mathematical activity most resistant to the influence of technological change. While computational methods are well known to have a huge importance in applied mathematics, there is a perception that mathematicians seeking to derive new mathematical results are unaffected by the digital era. The reality is quite different. Digital technologies have transformed how mathematicians work together, how proof is taught in schools and universities, and even the nature of proof itself. Checking billions of cases in extremely large but finite sets, impossible a few decades ago, has now become a standard method of proof. Distributed proving, by teams of mathematicians working independently on sections of a problem, has become very much easier as digital communication facilitates the sharing and comparison of results. Proof assistants and dynamic proof environments have influenced the verification or refutation of conjectures, and ultimately how and why proof is taught in schools. And techniques from computer science for checking the validity of programs are being used to verify mathematical proofs. Chapters in this book include not only research reports and case studies, but also theoretical essays, reviews of the state of the art in selected areas, and historical studies. The authors are experts in the field.
Unconventional Mastery A Modern Voyage Into Mathematical Irregularity
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date :
Unconventional Mastery A Modern Voyage Into Mathematical Irregularity 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.
Embark on an intellectual odyssey into the captivating world of nonsmooth analysis and control theory, where the intricacies of irregularity and discontinuity unveil hidden mathematical beauty. This comprehensive and engaging book takes you on a journey through the theoretical foundations and practical applications of these powerful tools, revealing their profound impact on diverse fields ranging from economics to data science. Delve into the depths of nonsmooth functions, discovering the intricacies of generalized derivatives, subgradients, and Clarke's subdifferential. Explore the elegant framework of control theory, mastering the art of guiding dynamic systems towards desired outcomes. Uncover the profound connections between nonsmooth analysis and control theory to diverse fields, witnessing their transformative power in shaping our understanding of the world. Investigate the intricate workings of mathematical economics, uncovering the interplay between rationality, strategy, and market dynamics. Explore the complexities of mathematical finance, unraveling the mysteries of option pricing, risk management, and financial engineering. Delve into the realm of mathematical biology, where mathematical models illuminate the intricate phenomena of life, including population growth, evolutionary dynamics, and the foundations of epidemiology and systems biology. Witness the transformative impact of nonsmooth analysis and control theory on mathematical engineering, where they find application in the design and analysis of complex systems. Encounter the challenges of signal processing, communication theory, and computer engineering, witnessing the power of mathematical tools in shaping our technological world. Venture into the frontiers of mathematical data science, where these tools unlock new possibilities in machine learning, data mining, and artificial intelligence, revealing hidden patterns and insights buried within vast troves of data. Written in a clear and engaging style, this book is accessible to readers with a solid foundation in mathematics. It is an invaluable resource for students, researchers, and practitioners seeking to deepen their understanding of nonsmooth analysis and control theory, and their applications across a wide range of disciplines. Unveil the elegance and power of mathematical tools in unraveling the complexities of the world around us. Discover the profound connections between seemingly disparate fields, revealing the underlying unity of mathematical principles. Join us on this enlightening journey into the fascinating world of nonsmooth analysis and control theory, and gain a deeper understanding of the intricate tapestry of our universe. If you like this book, write a review!
Expeditions In Mathematics
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Author : Tatiana Shubin
language : en
Publisher: MAA
Release Date : 2011
Expeditions In Mathematics written by Tatiana Shubin and has been published by MAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
This book is the second volume based on lectures for pre-college students given by prominent mathematicians in the Bay Area Mathematical Adventures (BAMA). This book reflects the flavor of the BAMA lectures and the excitement they have generated among the high school and middle school students in the Silicon Valley. The topics cover a wide range of mathematical subjects each treated by a leading proponent of the subject at levels designed to challenge and attract students whose mathematical interests are just beginning. In addition, the treatments given here will intrigue and enchant a more mature mathematician. It is hoped that the publication of these lectures will expose students outside of the San Francisco Bay Area to interesting mathematical topics and treatments outside of their normal experience in the classroom. Mathematical educators are encouraged to offer the students in their own localities similar opportunities to come into contact with exciting adventures in mathematics.