Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download A Mathematical Bridge PDF full book. Access full book title A Mathematical Bridge by Stephen Fletcher Hewson. Download full books in PDF and EPUB format.
Author: Stephen Fletcher Hewson Publisher: World Scientific ISBN: 9812834079 Category : Education Languages : en Pages : 672
Book Description
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.
Author: Stephen Fletcher Hewson Publisher: World Scientific ISBN: 9812834079 Category : Education Languages : en Pages : 672
Book Description
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.
Author: Imre Bárány Publisher: Springer Nature ISBN: 3662592045 Category : Mathematics Languages : en Pages : 616
Book Description
This volume collects together research and survey papers written by invited speakers of the conference celebrating the 70th birthday of László Lovász. The topics covered include classical subjects such as extremal graph theory, coding theory, design theory, applications of linear algebra and combinatorial optimization, as well as recent trends such as extensions of graph limits, online or statistical versions of classical combinatorial problems, and new methods of derandomization. László Lovász is one of the pioneers in the interplay between discrete and continuous mathematics, and is a master at establishing unexpected connections, “building bridges” between seemingly distant fields. His invariably elegant and powerful ideas have produced new subfields in many areas, and his outstanding scientific work has defined and shaped many research directions in the last 50 years. The 14 contributions presented in this volume, all of which are connected to László Lovász's areas of research, offer an excellent overview of the state of the art of combinatorics and related topics and will be of interest to experienced specialists as well as young researchers.
Author: Jennifer Moore Publisher: Rainbow Bridge Publishing (UT) ISBN: 9781887923187 Category : Education Languages : en Pages : 98
Book Description
"Enriching classroom math skills : a diagnosis test begins the book to determine which skills need most practice: whole numbers, decimals, number theory, fractions, ratio & proportion, percent, geometry, measurement, integers, pre-algebra, probability & statistics
Author: COMAP Publisher: Macmillan ISBN: 9780716707806 Category : Mathematics Languages : en Pages : 632
Book Description
"Designed for juniors and seniors in high school who have not succeeded using traditional approaches to teaching mathematics, but want to prepare for Algebra II or a College Algebra course" -- Publisher.
Author: Summer Bridge Activities Publisher: Rainbow Bridge Publishing ISBN: 1483815870 Category : Juvenile Nonfiction Languages : en Pages : 180
Book Description
Give your soon-to-be eighth grader a head start on their upcoming school year with Summer Bridge Activities: Bridging Grades 7-8. With daily, 15-minute exercises kids can review proportions and misplaced modifiers and learn new skills like square roots and writing in the active voice. This workbook series prevents summer learning loss and paves the way to a successful new school year. --And this is no average workbookÑSummer Bridge Activities keeps the fun and the sun in summer break! Designed to prevent a summer learning gap and keep kids mentally and physically active, the hands-on exercises can be done anywhere. These standards-based activities help kids set goals, develop character, practice fitness, and explore the outdoors. With 12 weeks of creative learning, Summer Bridge Activities keeps skills sharp all summer long!
Author: Olivia Caramello Publisher: Oxford University Press ISBN: 019875891X Category : Mathematics Languages : en Pages : 381
Book Description
According to Grothendieck, the notion of topos is "the bed or deep river where come to be married geometry and algebra, topology and arithmetic, mathematical logic and category theory, the world of the continuous and that of discontinuous or discrete structures". It is what he had "conceived of most broad to perceive with finesse, by the same language rich of geometric resonances, an "essence" which is common to situations most distant from each other, coming from one region or another of the vast universe of mathematical things". The aim of this book is to present a theory and a number of techniques which allow to give substance to Grothendieck's vision by building on the notion of classifying topos educed by categorical logicians. Mathematical theories (formalized within first-order logic) give rise to geometric objects called sites; the passage from sites to their associated toposes embodies the passage from the logical presentation of theories to their mathematical content, i.e. from syntax to semantics. The essential ambiguity given by the fact that any topos is associated in general with an infinite number of theories or different sites allows to study the relations between different theories, and hence the theories themselves, by using toposes as 'bridges' between these different presentations. The expression or calculation of invariants of toposes in terms of the theories associated with them or their sites of definition generates a great number of results and notions varying according to the different types of presentation, giving rise to a veritable mathematical morphogenesis.
Author: Dragu Atanasiu Publisher: World Scientific Publishing Company ISBN: 9789811200229 Category : MATHEMATICS Languages : en Pages : 0
Book Description
The book makes a first course in linear algebra more accessible to the majority of students and it assumes no prior knowledge of the subject. It provides a careful presentation of particular cases of all core topics. Students will find that the explanations are clear and detailed in manner. It is considered as a bridge over the obstacles in linear algebra and can be used with or without the help of an instructor. While many linear algebra texts neglect geometry, this book includes numerous geometrical applications. For example, the book presents classical analytic geometry using concepts and methods from linear algebra, discusses rotations from a geometric viewpoint, gives a rigorous interpretation of the right-hand rule for the cross product using rotations and applies linear algebra to solve some nontrivial plane geometry problems. Many students studying mathematics, physics, engineering and economics find learning introductory linear algebra difficult as it has high elements of abstraction that are not easy to grasp. This book will come in handy to facilitate the understanding of linear algebra whereby it gives a comprehensive, concrete treatment of linear algebra in R2 and R3. This method has been shown to improve, sometimes dramatically, a student's view of the subject.
Author: Stephen Fletcher Hewson
Author: Stephen Fletcher Hewson
Author: Imre Bárány
Author: Center for Occupational Research and Development (U.S.)
Author: Jennifer Moore
Author: Center for Occupational Research and Development (U.S.)
Author: 
Author: COMAP
Author: Summer Bridge Activities
Author: Olivia Caramello
Author: Dragu Atanasiu