A Bridge To Advanced Mathematics
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A Bridge To Advanced Mathematics
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Author : Dennis Sentilles
language : en
Publisher: Courier Corporation
Release Date : 2013-05-20
A Bridge To Advanced Mathematics written by Dennis Sentilles and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-20 with Mathematics categories.
This helpful "bridge" book offers students the foundations they need to understand advanced mathematics. The two-part treatment provides basic tools and covers sets, relations, functions, mathematical proofs and reasoning, more. 1975 edition.
A Bridge To Advanced Mathematics
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Author : Dennis Sentilles
language : en
Publisher: Courier Corporation
Release Date : 2011-01-01
A Bridge To Advanced Mathematics written by Dennis Sentilles and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-01 with Mathematics categories.
"This helpful "bridge" book offers students the foundations they need to understand advanced mathematics, spanning the gap between practically oriented and theoretically orientated courses. Part 1 provides the most basic tools, examples, and motivation for the manner, method, and material of higher mathematics. Part 2 covers sets, relations, functions, infinite sets, and mathematical proofs and reasoning. 1975 edition"--Provided by publisher.
A Mathematical Bridge
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Author : Stephen Fletcher Hewson
language : en
Publisher: World Scientific
Release Date : 2009
A Mathematical Bridge written by Stephen Fletcher Hewson and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Education 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 Bridge To Advanced Mathematics
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Author : Sebastian M. Cioabă
language : en
Publisher: American Mathematical Society
Release Date : 2022-12-21
A Bridge To Advanced Mathematics written by Sebastian M. Cioabă and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-21 with Mathematics categories.
Most introduction to proofs textbooks focus on the structure of rigorous mathematical language and only use mathematical topics incidentally as illustrations and exercises. In contrast, this book gives students practice in proof writing while simultaneously providing a rigorous introduction to number systems and their properties. Understanding the properties of these systems is necessary throughout higher mathematics. The book is an ideal introduction to mathematical reasoning and proof techniques, building on familiar content to ensure comprehension of more advanced topics in abstract algebra and real analysis with over 700 exercises as well as many examples throughout. Readers will learn and practice writing proofs related to new abstract concepts while learning new mathematical content. The first task is analogous to practicing soccer while the second is akin to playing soccer in a real match. The authors believe that all students should practice and play mathematics. The book is written for students who already have some familiarity with formal proof writing but would like to have some extra preparation before taking higher mathematics courses like abstract algebra and real analysis.
Bridge To Abstract Mathematics
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Author : Ralph W. Oberste-Vorth
language : en
Publisher: American Mathematical Soc.
Release Date : 2012
Bridge To Abstract Mathematics written by Ralph W. Oberste-Vorth 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 2012 with Education categories.
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.
A Transition To Advanced Mathematics
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Author : William Johnston
language : en
Publisher: OUP USA
Release Date : 2009-07-27
A Transition To Advanced Mathematics written by William Johnston and has been published by OUP USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-27 with Mathematics categories.
Preface 1. Mathematical Logic 2. Abstract Algebra 3. Number Theory 4. Real Analysis 5. Probability and Statistics 6. Graph Theory 7. Complex Analysis Answers to Questions Answers to Odd Numbered Questions Index of Online Resources Bibliography Index.
Bridge To Higher Mathematics
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Author : Sam Vandervelde
language : en
Publisher: Lulu.com
Release Date : 2010
Bridge To Higher Mathematics written by Sam Vandervelde and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Education categories.
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.
Discrete Mathematics
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Author : Olympia Nicodemi
language : en
Publisher:
Release Date : 1987
Discrete Mathematics written by Olympia Nicodemi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
A Transition To Advanced Mathematics
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Author : Douglas Smith
language : en
Publisher:
Release Date : 2010-06-01
A Transition To Advanced Mathematics written by Douglas Smith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-01 with Mathematics categories.
A TRANSITION TO ADVANCED MATHEMATICS, 7e, International Edition helps students make the transition from calculus to more proofs-oriented mathematical study. The most successful text of its kind, the 7th edition continues to provide a firm foundation in major concepts needed for continued study and guides students to think and express themselves mathematically—to analyze a situation, extract pertinent facts, and draw appropriate conclusions. The authors place continuous emphasis throughout on improving students' ability to read and write proofs, and on developing their critical awareness for spotting common errors in proofs. Concepts are clearly explained and supported with detailed examples, while abundant and diverse exercises provide thorough practice on both routine and more challenging problems. Students will come away with a solid intuition for the types of mathematical reasoning they'll need to apply in later courses and a better understanding of how mathematicians of all kinds approach and solve problems.
Transition To Higher Mathematics
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Author : Bob A. Dumas
language : en
Publisher: McGraw-Hill Education
Release Date : 2007
Transition To Higher Mathematics written by Bob A. Dumas and has been published by McGraw-Hill Education this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Logic, Symbolic and mathematical categories.
This book is written for students who have taken calculus and want to learn what "real mathematics" is.