Proofs and Fundamentals

Proofs and Fundamentals Author Ethan D. Bloch
ISBN-10 9781461221302
Release 2013-12-01
Pages 424
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The aim of this book is to help students write mathematics better. Throughout it are large exercise sets well-integrated with the text and varying appropriately from easy to hard. Basic issues are treated, and attention is given to small issues like not placing a mathematical symbol directly after a punctuation mark. And it provides many examples of what students should think and what they should write and how these two are often not the same.



A First Course in Geometric Topology and Differential Geometry

A First Course in Geometric Topology and Differential Geometry Author Ethan D. Bloch
ISBN-10 0817638407
Release 1997
Pages 421
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The uniqueness of this text in combining geometric topology and differential geometry lies in its unifying thread: the notion of a surface. With numerous illustrations, exercises and examples, the student comes to understand the relationship of the modern abstract approach to geometric intuition. The text is kept at a concrete level, avoiding unnecessary abstractions, yet never sacrificing mathematical rigor. The book includes topics not usually found in a single book at this level.



The Nuts and Bolts of Proofs

The Nuts and Bolts of Proofs Author Antonella Cupillari
ISBN-10 9780080537900
Release 2005-09-08
Pages 192
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The Nuts and Bolts of Proof instructs students on the basic logic of mathematical proofs, showing how and why proofs of mathematical statements work. It provides them with techniques they can use to gain an inside view of the subject, reach other results, remember results more easily, or rederive them if the results are forgotten.A flow chart graphically demonstrates the basic steps in the construction of any proof and numerous examples illustrate the method and detail necessary to prove various kinds of theorems. * The "List of Symbols" has been extended. * Set Theory section has been strengthened with more examples and exercises. * Addition of "A Collection of Proofs"



Fundamentals of Mathematics An Introduction to Proofs Logic Sets and Numbers

Fundamentals of Mathematics  An Introduction to Proofs  Logic  Sets  and Numbers Author CTI Reviews
ISBN-10 9781467211345
Release 2016-10-16
Pages 62
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Facts101 is your complete guide to Fundamentals of Mathematics, An Introduction to Proofs, Logic, Sets, and Numbers. In this book, you will learn topics such as as those in your book plus much more. With key features such as key terms, people and places, Facts101 gives you all the information you need to prepare for your next exam. Our practice tests are specific to the textbook and we have designed tools to make the most of your limited study time.



Einf hrung in das mathematische Arbeiten

Einf  hrung in das mathematische Arbeiten Author Hermann Schichl
ISBN-10 9783642286452
Release 2012-03-21
Pages 520
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Mathematikunterricht an höheren Schulen unterscheidet sich radikal von der Art, wie Mathematik an Universitäten gelehrt wird. Kaum ein Fach, bei dem ein tieferer Graben beim Übergang an die Hochschule zu überwinden ist. Die Autoren schlagen eine Brücke, indem sie Sprache, Prinzipien und Konventionen der Mathematik im Zusammenhang mit den Inhalten erklären: grundlegende Ideen und Schreibweisen, Aussagenlogik, naive Mengenlehre, algebraische Strukturen, Zahlenmengen und analytische Geometrie. Übungsaufgaben und Beispiele sind in den Text integriert.



The Real Numbers and Real Analysis

The Real Numbers and Real Analysis Author Ethan D. Bloch
ISBN-10 9780387721767
Release 2011-05-27
Pages 553
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This rigorous, detailed introduction to real analysis presents the fundamentals clearly and includes definitions, theorems and proofs. Mirroring the structure of standard calculus courses makes it especially accessible to university students of mathematics.



Foundations of Abstract Mathematics

Foundations of Abstract Mathematics Author David C. Kurtz
ISBN-10 STANFORD:36105129676024
Release 1992
Pages 190
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This text is designed for the average to strong mathematics major taking a course called Transition to Higher Mathematics, Introduction to Proofs, or Fundamentals of Mathematics. It provides a transition to topics covered in advanced mathematics and covers logic, proofs and sets and emphasizes two important mathematical activities - finding examples of objects with specified properties and writing proofs.



A letter to the Reverend Mr Tong Mr Robinson Mr Smith Mr Reynolds Occasion d by the late differences amongst the Dissenters Wherein is consider d the regard Dissenters ought to pay to human forms in matters of faith With some Remarks on their late Book The doctrine of the Blessed Trinity stated and defended To which is added an appendix containing two Letters sent by some dissenting gentlemen to their Ministers By a layman i e Samuel Saunders

A letter to the Reverend Mr  Tong  Mr  Robinson  Mr  Smith    Mr  Reynolds  Occasion d by the late differences amongst the Dissenters  Wherein is consider d the regard Dissenters ought to pay to human forms in matters of faith  With some     Remarks on their late Book  The doctrine of the Blessed Trinity stated and defended    To which is added an appendix  containing two Letters sent by some dissenting gentlemen to their Ministers  By a layman i e  Samuel Saunders Author Samuel SAUNDERS (a Layman.)
ISBN-10 BL:A0019471431
Release 1719
Pages 95
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A letter to the Reverend Mr Tong Mr Robinson Mr Smith Mr Reynolds Occasion d by the late differences amongst the Dissenters Wherein is consider d the regard Dissenters ought to pay to human forms in matters of faith With some Remarks on their late Book The doctrine of the Blessed Trinity stated and defended To which is added an appendix containing two Letters sent by some dissenting gentlemen to their Ministers By a layman i e Samuel Saunders has been writing in one form or another for most of life. You can find so many inspiration from A letter to the Reverend Mr Tong Mr Robinson Mr Smith Mr Reynolds Occasion d by the late differences amongst the Dissenters Wherein is consider d the regard Dissenters ought to pay to human forms in matters of faith With some Remarks on their late Book The doctrine of the Blessed Trinity stated and defended To which is added an appendix containing two Letters sent by some dissenting gentlemen to their Ministers By a layman i e Samuel Saunders also informative, and entertaining. Click DOWNLOAD or Read Online button to get full A letter to the Reverend Mr Tong Mr Robinson Mr Smith Mr Reynolds Occasion d by the late differences amongst the Dissenters Wherein is consider d the regard Dissenters ought to pay to human forms in matters of faith With some Remarks on their late Book The doctrine of the Blessed Trinity stated and defended To which is added an appendix containing two Letters sent by some dissenting gentlemen to their Ministers By a layman i e Samuel Saunders book for free.



Fundamentals of Mathematics

Fundamentals of Mathematics Author Bernd S. W. Schröder
ISBN-10 0470551380
Release 2010-08-16
Pages 338
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An accessible introduction to abstract mathematics with an emphasis on proof writing Addressing the importance of constructing and understanding mathematical proofs, Fundamentals of Mathematics: An Introduction to Proofs, Logic, Sets, and Numbers introduces key concepts from logic and set theory as well as the fundamental definitions of algebra to prepare readers for further study in the field of mathematics. The author supplies a seamless, hands-on presentation of number systems, utilizing key elements of logic and set theory and encouraging readers to abide by the fundamental rule that you are not allowed to use any results that you have not proved yet. The book begins with a focus on the elements of logic used in everyday mathematical language, exposing readers to standard proof methods and Russell's Paradox. Once this foundation is established, subsequent chapters explore more rigorous mathematical exposition that outlines the requisite elements of Zermelo-Fraenkel set theory and constructs the natural numbers and integers as well as rational, real, and complex numbers in a rigorous, yet accessible manner. Abstraction is introduced as a tool, and special focus is dedicated to concrete, accessible applications, such as public key encryption, that are made possible by abstract ideas. The book concludes with a self-contained proof of Abel's Theorem and an investigation of deeper set theory by introducing the Axiom of Choice, ordinal numbers, and cardinal numbers. Throughout each chapter, proofs are written in much detail with explicit indications that emphasize the main ideas and techniques of proof writing. Exercises at varied levels of mathematical development allow readers to test their understanding of the material, and a related Web site features video presentations for each topic, which can be used along with the book or independently for self-study. Classroom-tested to ensure a fluid and accessible presentation, Fundamentals of Mathematics is an excellent book for mathematics courses on proofs, logic, and set theory at the upper-undergraduate level as well as a supplement for transition courses that prepare students for the rigorous mathematical reasoning of advanced calculus, real analysis, and modern algebra. The book is also a suitable reference for professionals in all areas of mathematics education who are interested in mathematical proofs and the foundation upon which all mathematics is built.



Fundamentals of Algebraic Specification 1

Fundamentals of Algebraic Specification 1 Author Hartmut Ehrig
ISBN-10 9783642699627
Release 2012-12-06
Pages 321
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The aim of this book is to present fundamentals of algebraic specifications with respect to the following three aspects: fundamentals in the sense of a carefully motivated introduction to algebraic specifications, which is easy to understand for computer scientists and mathematicians; fundamentals in the sense of mathematical theories which are the basis for precise definitions, constructions, results, and correctness proofs; and fundamentals in the sense of concepts, which are introduced on a conceptual level and formalized in mathematical terms. The book is equally suitableas a text book for graduate courses and as a reference for researchers and system developers.



Writing Proofs in Analysis

Writing Proofs in Analysis Author Jonathan M. Kane
ISBN-10 9783319309675
Release 2016-05-28
Pages 347
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This is a textbook on proof writing in the area of analysis, balancing a survey of the core concepts of mathematical proof with a tight, rigorous examination of the specific tools needed for an understanding of analysis. Instead of the standard "transition" approach to teaching proofs, wherein students are taught fundamentals of logic, given some common proof strategies such as mathematical induction, and presented with a series of well-written proofs to mimic, this textbook teaches what a student needs to be thinking about when trying to construct a proof. Covering the fundamentals of analysis sufficient for a typical beginning Real Analysis course, it never loses sight of the fact that its primary focus is about proof writing skills. This book aims to give the student precise training in the writing of proofs by explaining exactly what elements make up a correct proof, how one goes about constructing an acceptable proof, and, by learning to recognize a correct proof, how to avoid writing incorrect proofs. To this end, all proofs presented in this text are preceded by detailed explanations describing the thought process one goes through when constructing the proof. Over 150 example proofs, templates, and axioms are presented alongside full-color diagrams to elucidate the topics at hand.



Fundamentals of Computation Theory

Fundamentals of Computation Theory Author Maciej Liskiewicz
ISBN-10 9783540281931
Release 2005-08-04
Pages 576
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This book constitutes the refereed proceedings of the 15th International Symposium Fundamentals of Computation Theory, FCT 2005, held in Lübeck, Germany in August 2005. The 46 revised full papers presented together with 3 invited papers were carefully reviewed and selected from 105 submissions. The papers are organized in topical sections on circuits, automata, complexity, approximability, computational and structural complexity, graphs and complexity, computational game theory, visual cryptography and computational geometry, query complexity, distributed systems, automata and formal languages, semantics, approximation algorithms, average case complexity, algorithms, graph algorithms, and pattern matching.



Revue roumaine de math matiques pures et appliques

Revue roumaine de math  matiques pures et appliques Author
ISBN-10 UOM:39015057379896
Release 2001
Pages
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Revue roumaine de math matiques pures et appliques has been writing in one form or another for most of life. You can find so many inspiration from Revue roumaine de math matiques pures et appliques also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Revue roumaine de math matiques pures et appliques book for free.



Fundamentals of Computer Security

Fundamentals of Computer Security Author Josef Pieprzyk
ISBN-10 3540431012
Release 2003-01-21
Pages 677
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The primary goal of this book is to present the basic concepts in computer and networksecurity.Thestartingpointforthebookwasthelecturenotesthatwere used for teaching the undergraduate course on computer security at the U- versity of Wollongong (Australia). Later more topics were added to the book. Thesetopics weremainlytaught topostgraduatestudentsasanadvancedcr- tography course. Some chapters, especially those towards the end of the book, were included to help students in their seminar presentations. The book was recently used as the textbook for a new course, Cryptography and Infor- tion Security, o?ered for third-year students in the Computing Department at Macquarie University (Australia). Thebookcontains18chapters.Itstartswithanintroductorychapter(Chap. 1) that gives a brief summary of the history of cryptography. As the book is meant to be self-contained, the necessary background knowledge is given in the theorychapter(Chap.2).Itstartswithelementsofnumbertheory, goesthrough algebraic structures, the complexity of computing, and elements of information theory. Thechapter on private-key cryptosystems (Chap. 3) covers classical ciphers, the DES family of ciphers, and a selected subset of modern cryptosystems s- mitted for the AES call. An introduction to di?erential and linear cryptanalysis closes the chapter. The next chapter (Chap. 4) sets the background for publ- key cryptography. It describes the concept of a public key and discusses its implementations. The RSA cryptosystem deserves special attention for at least two reasons. The ?rst one is that its security nicely relates to the di?culty of factoring. The other one is the widespread use of RSA for communication - curity. Probabilistic encryption and modern public-key cryptosystems close the chapter



Fundamentals of Computation Theory

Fundamentals of Computation Theory Author Olaf Owe
ISBN-10 9783642229534
Release 2011-08-09
Pages 373
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This book constitutes the refereed proceedings of the 18th International Symposium Fundamentals of Computation Theory, FCT 2011, held in Oslo, Norway, in August 2011. The 28 revised full papers presented were carefully reviewed and selected from 78 submissions. FCT 2011 focused on algorithms, formal methods, and emerging fields, such as ad hoc, dynamic and evolving systems; algorithmic game theory; computational biology; foundations of cloud computing and ubiquitous systems; and quantum computation.



Fundamentals of Digital Communication

Fundamentals of Digital Communication Author Upamanyu Madhow
ISBN-10 1139470264
Release 2008-03-06
Pages
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This is a concise presentation of the concepts underlying the design of digital communication systems, without the detail that can overwhelm students. Many examples, from the basic to the cutting-edge, show how the theory is used in the design of modern systems and the relevance of this theory will motivate students. The theory is supported by practical algorithms so that the student can perform computations and simulations. Leading edge topics in coding and wireless communication make this an ideal text for students taking just one course on the subject. Fundamentals of Digital Communications has coverage of turbo and LDPC codes in sufficient detail and clarity to enable hands-on implementation and performance evaluation, as well as 'just enough' information theory to enable computation of performance benchmarks to compare them against. Other unique features include space-time communication and geometric insights into noncoherent communication and equalization.



Husserl s Logical Investigations Reconsidered

Husserl s Logical Investigations Reconsidered Author Denis Fisette
ISBN-10 9789401702072
Release 2013-03-09
Pages 240
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The twelve original studies collected in this volume examine different aspects of Edmund Husserl's Logical Investigations. They are authored by scholars and specialists internationally recognized for their expertise in the fields of logic, phenomenology, history of philosophy and philosophy of mind. They approach Husserl's groundwork from different angles and perspectives and shed new light on a number of issues such as meaning, intentionality, ontology, logic, etc.