1# Library to Find Best eBook for Read
Author : Stephen Fletcher Hewson
Release : 2009
Genre : Electronic books
Kind : eBook
Book Rating : 096/5 ( reviews)
Book Synopsis A Mathematical Bridge by : Stephen Fletcher Hewson
Download or read book A Mathematical Bridge written by Stephen Fletcher Hewson. This book was released on 2009. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stephen Fletcher Hewson
Release : 2009-01-20
Genre : Mathematics
Kind : eBook
Book Rating : 245/5 ( reviews)
Book Synopsis Mathematical Bridge, A: An Intuitive Journey In Higher Mathematics (2nd Edition) by : Stephen Fletcher Hewson
Download or read book Mathematical Bridge, A: An Intuitive Journey In Higher Mathematics (2nd Edition) written by Stephen Fletcher Hewson. This book was released on 2009-01-20. Available in PDF, EPUB and Kindle. Book excerpt: 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
Release : 2009
Genre : Education
Kind : eBook
Book Rating : 079/5 ( reviews)
Book Synopsis A Mathematical Bridge by : Stephen Fletcher Hewson
Download or read book A Mathematical Bridge written by Stephen Fletcher Hewson. This book was released on 2009. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Sam Vandervelde
Release : 2010
Genre : Education
Kind : eBook
Book Rating : 37X/5 ( reviews)
Book Synopsis Bridge to Higher Mathematics by : Sam Vandervelde
Download or read book Bridge to Higher Mathematics written by Sam Vandervelde. This book was released on 2010. Available in PDF, EPUB and Kindle. Book excerpt: This engaging math textbook is designed to equip students who have completed a standard high school math curriculum with the tools and techniques that they will need to succeed in upper level math courses. Topics covered include logic and set theory, proof techniques, number theory, counting, induction, relations, functions, and cardinality.
Author : Ralph W. Oberste-Vorth
Release : 2012
Genre : Education
Kind : eBook
Book Rating : 790/5 ( reviews)
Book Synopsis Bridge to Abstract Mathematics by : Ralph W. Oberste-Vorth
Download or read book Bridge to Abstract Mathematics written by Ralph W. Oberste-Vorth. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt: A Bridge to Abstract Mathematics will prepare the mathematical novice to explore the universe of abstract mathematics. Mathematics is a science that concerns theorems that must be proved within the constraints of a logical system of axioms and definitions rather than theories that must be tested, revised, and retested. Readers will learn how to read mathematics beyond popular computational calculus courses. Moreover, readers will learn how to construct their own proofs. The book is intended as the primary text for an introductory course in proving theorems, as well as for self-study or as a reference. Throughout the text, some pieces (usually proofs) are left as exercises. Part V gives hints to help students find good approaches to the exercises. Part I introduces the language of mathematics and the methods of proof. The mathematical content of Parts II through IV were chosen so as not to seriously overlap the standard mathematics major. In Part II, students study sets, functions, equivalence and order relations, and cardinality. Part III concerns algebra. The goal is to prove that the real numbers form the unique, up to isomorphism, ordered field with the least upper bound. In the process, we construct the real numbers starting with the natural numbers. Students will be prepared for an abstract linear algebra or modern algebra course. Part IV studies analysis. Continuity and differentiation are considered in the context of time scales (nonempty, closed subsets of the real numbers). Students will be prepared for advanced calculus and general topology courses. There is a lot of room for instructors to skip and choose topics from among those that are presented.
