The Induction Book

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Publisher : Courier Dover Publications
ISBN 13 : 0486821234
Total Pages : 128 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis The Induction Book by : Steven H. Weintraub

Download or read book The Induction Book written by Steven H. Weintraub and published by Courier Dover Publications. This book was released on 2017-05-03 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical induction — along with its equivalents, complete induction and well-ordering, and its immediate consequence, the pigeonhole principle — constitute essential proof techniques. Every mathematician is familiar with mathematical induction, and every student of mathematics requires a grasp of its concepts. This volume provides an introduction and a thorough exposure to these proof techniques. Geared toward students of mathematics at all levels, the text is particularly suitable for courses in mathematical induction, theorem-proving, and problem-solving. The treatment begins with both intuitive and formal explanations of mathematical induction and its equivalents. The next chapter presents many problems consisting of results to be proved by induction, with solutions omitted to enable instructors to assign them to students. Problems vary in difficulty; the majority of them require little background, and the most advanced involve calculus or linear algebra. The final chapter features proofs too complicated for students to find on their own, some of which are famous theorems by well-known mathematicians. For these beautiful and important theorems, the author provides expositions and proofs. The text concludes with a helpful Appendix providing the logical equivalence of the various forms of induction.

New Teacher Induction

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Publisher :
ISBN 13 : 9780962936043
Total Pages : 0 pages
Book Rating : 4.9/5 (36 download)

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Book Synopsis New Teacher Induction by : Annette L. Breaux

Download or read book New Teacher Induction written by Annette L. Breaux and published by . This book was released on 2003 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses the importance of training, supporting, and retaining new teachers, presents a step-by-step process for structuring an induction program, and features a list of replicable induction programs.

Handbook of Induction Heating

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Publisher : CRC Press
ISBN 13 : 1351643762
Total Pages : 816 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Handbook of Induction Heating by : Valery Rudnev

Download or read book Handbook of Induction Heating written by Valery Rudnev and published by CRC Press. This book was released on 2017-07-14 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of the Handbook of Induction Heating reflects the number of substantial advances that have taken place over the last decade in theory, computer modeling, semi-conductor power supplies, and process technology of induction heating and induction heat treating. This edition continues to be a synthesis of information, discoveries, and technical insights that have been accumulated at Inductoheat Inc. With an emphasis on design and implementation, the newest edition of this seminal guide provides numerous case studies, ready-to-use tables, diagrams, rules-of-thumb, simplified formulas, and graphs for working professionals and students.

The Induction Book

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Author :
Publisher : Courier Dover Publications
ISBN 13 : 0486811999
Total Pages : 129 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis The Induction Book by : Steven H. Weintraub

Download or read book The Induction Book written by Steven H. Weintraub and published by Courier Dover Publications. This book was released on 2017-05-17 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every mathematician and student of mathematics needs a familiarity with mathematical induction. This volume provides advanced undergraduates and graduate students with an introduction and a thorough exposure to these proof techniques. 2017 edition.

Mathematical Induction

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Publisher :
ISBN 13 : 9780996874595
Total Pages : 432 pages
Book Rating : 4.8/5 (745 download)

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Book Synopsis Mathematical Induction by : Titu Andreescu

Download or read book Mathematical Induction written by Titu Andreescu and published by . This book was released on 2017-03-15 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves as a very good resource and teaching material for anyone who wants to discover the beauty of Induction and its applications, from novice mathematicians to Olympiad-driven students and professors teaching undergraduate courses. The authors explore 10 different areas of mathematics, including topics that are not usually discussed in an Olympiad-oriented book on the subject. Induction is one of the most important techniques used in competitions and its applications permeate almost every area of mathematics.

Practical Induction

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Publisher : Harvard University Press
ISBN 13 : 9780674695979
Total Pages : 204 pages
Book Rating : 4.6/5 (959 download)

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Book Synopsis Practical Induction by : Elijah Millgram

Download or read book Practical Induction written by Elijah Millgram and published by Harvard University Press. This book was released on 1997 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical reasoning is not just a matter of determining how to get what you want, but of working out what to want in the first place. In Practical Induction Elijah Millgram argues that experience plays a central role in this process of deciding what is or is not important or worth pursuing. He takes aim at instrumentalism, a view predominant among philosophers today, which holds that the goals of practical reasoning are basic in the sense that they are given by desires that are not themselves the product of practical reasoning. The view Millgram defends is "practical induction," a method of reasoning from experience similar to theoretical induction. What are the practical observations that teach us what to want? Millgram suggests they are pleasant and unpleasant experiences on the basis of which we form practical judgments about particular cases. By generalizing from these judgments--that is, by practical induction--we rationally arrive at our views about what matters. Learning new priorities from experience is necessary if we are to function in a world of ever-changing circumstances. And we need to be able to learn both from our own and from others' experience. It is this, Millgram contends, that explains the cognitive importance of both our capacity for pain and pleasure and our capacity for love. Pleasure's role in cognition is not that of a goal but that of a guide. Love's role in cognition derives from its relation to our trusting the testimony of others about what does and does not matter and about what merits our desire. Itself a pleasure to read, this book is full of inventive arguments and conveys Millgram's bold thesis with elegance and force. It will alter the direction of current debates on practical reasoning.

Inducing Labour

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Publisher :
ISBN 13 : 9781999806439
Total Pages : 168 pages
Book Rating : 4.8/5 (64 download)

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Book Synopsis Inducing Labour by : Sara Wickham

Download or read book Inducing Labour written by Sara Wickham and published by . This book was released on 2018-04-30 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: When is it better to induce labour than to let a woman's body or baby decide the best time for birth? What are the pros and cons of waiting and of being induced? What about after the due date? When the baby is thought to be bigger than average? When the woman is older? If she had IVF? Or when her waters have broken earlier than usual? Induction of labour is an increasingly common recommendation and more and more women find themselves having to decide whether to let their body and baby go into labour spontaneously or agree to medical intervention. This book explains the process of induction of labour and shares information from research studies, debates and women's, midwives' and doctors' experiences to help women and families become more informed and make the decision that is right for them.

Induction in Geometry

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Publisher : Courier Dover Publications
ISBN 13 : 0486838560
Total Pages : 177 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Induction in Geometry by : L.I. Golovina

Download or read book Induction in Geometry written by L.I. Golovina and published by Courier Dover Publications. This book was released on 2019-10-16 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Induction in Geometry discusses the application of the method of mathematical induction to the solution of geometric problems, some of which are quite intricate. The book contains 37 examples with detailed solutions and 40 for which only brief hints are provided. Most of the material requires only a background in high school algebra and plane geometry; chapter six assumes some knowledge of solid geometry, and the text occasionally employs formulas from trigonometry. Chapters are self-contained, so readers may omit those for which they are unprepared. To provide additional background, this volume incorporates the concise text, The Method of Mathematical Induction. This approach introduces this technique of mathematical proof via many examples from algebra, geometry, and trigonometry, and in greater detail than standard texts. A background in high school algebra will largely suffice; later problems require some knowledge of trigonometry. The combination of solved problems within the text and those left for readers to work on, with solutions provided at the end, makes this volume especially practical for independent study.

Induction Design

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764366414
Total Pages : 100 pages
Book Rating : 4.3/5 (664 download)

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Book Synopsis Induction Design by : Makoto Sei Watanabe

Download or read book Induction Design written by Makoto Sei Watanabe and published by Springer Science & Business Media. This book was released on 2002-06-01 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: City planning is a concept which usually covers the wide range of events, processes and developments taking place in our cities, but individual plans and designs cannot do justice to the complex realities of the city. In "Induction Cities" the author aims to take the reader beyond our traditional understanding of city design to redefine our perception of design in this context. With the assistance of computers, a dynamic mechanism will be created which generates a result corresponding to the specific conditions and requirements stipulated. By this form of "meta-design" a greater degree of freedom is obtained than the conventional design methods provide. In this publication, this new theory and process is analysed, looking at the first computer-generated architecture in the world, the underground station "Iidabashi"in Tokyo. Makoto Sei Watanabe studied architecture and worked in the office of Arata Isozaki in Tokyo. In 1984 he founded his own architectural office which has realised numerous projects.

Handbook of Mathematical Induction

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Publisher : Chapman & Hall/CRC
ISBN 13 : 9781138199019
Total Pages : 921 pages
Book Rating : 4.1/5 (99 download)

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Book Synopsis Handbook of Mathematical Induction by : David S. Gunderson

Download or read book Handbook of Mathematical Induction written by David S. Gunderson and published by Chapman & Hall/CRC. This book was released on 2016-11-16 with total page 921 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Mathematical Induction: Theory and Applications shows how to find and write proofs via mathematical induction. This comprehensive book covers the theory, the structure of the written proof, all standard exercises, and hundreds of application examples from nearly every area of mathematics. In the first part of the book, the author discusses different inductive techniques, including well-ordered sets, basic mathematical induction, strong induction, double induction, infinite descent, downward induction, and several variants. He then introduces ordinals and cardinals, transfinite induction, the axiom of choice, Zorn's lemma, empirical induction, and fallacies and induction. He also explains how to write inductive proofs. The next part contains more than 750 exercises that highlight the levels of difficulty of an inductive proof, the variety of inductive techniques available, and the scope of results provable by mathematical induction. Each self-contained chapter in this section includes the necessary definitions, theory, and notation and covers a range of theorems and problems, from fundamental to very specialized. The final part presents either solutions or hints to the exercises. Slightly longer than what is found in most texts, these solutions provide complete details for every step of the problem-solving process.

Automated Mathematical Induction

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Publisher : Springer Science & Business Media
ISBN 13 : 9400916752
Total Pages : 223 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Automated Mathematical Induction by : Hantao Zhang

Download or read book Automated Mathematical Induction written by Hantao Zhang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: It has been shown how the common structure that defines a family of proofs can be expressed as a proof plan [5]. This common structure can be exploited in the search for particular proofs. A proof plan has two complementary components: a proof method and a proof tactic. By prescribing the structure of a proof at the level of primitive inferences, a tactic [11] provides the guarantee part of the proof. In contrast, a method provides a more declarative explanation of the proof by means of preconditions. Each method has associated effects. The execution of the effects simulates the application of the corresponding tactic. Theorem proving in the proof planning framework is a two-phase process: 1. Tactic construction is by a process of method composition: Given a goal, an applicable method is selected. The applicability of a method is determined by evaluating the method's preconditions. The method effects are then used to calculate subgoals. This process is applied recursively until no more subgoals remain. Because of the one-to-one correspondence between methods and tactics, the output from this process is a composite tactic tailored to the given goal. 2. Tactic execution generates a proof in the object-level logic. Note that no search is involved in the execution of the tactic. All the search is taken care of during the planning process. The real benefits of having separate planning and execution phases become appar ent when a proof attempt fails.

Material Theory of Induction

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Publisher : Bsps Open
ISBN 13 : 9781773852751
Total Pages : 544 pages
Book Rating : 4.8/5 (527 download)

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Book Synopsis Material Theory of Induction by : John D. Norton

Download or read book Material Theory of Induction written by John D. Norton and published by Bsps Open. This book was released on 2021-12-15 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental burden of a theory of inductive inference is to determine which are the good inductive inferences or relations of inductive support and why it is that they are so. The traditional approach is modeled on that taken in accounts of deductive inference. It seeks universally applicable schemas or rules or a single formal device, such as the probability calculus. After millennia of halting efforts, none of these approaches has been unequivocally successful and debates between approaches persist. The Material Theory of Induction identifies the source of these enduring problems in the assumption taken at the outset: that inductive inference can be accommodated by a single formal account with universal applicability. Instead, it argues that that there is no single, universally applicable formal account. Rather, each domain has an inductive logic native to it.The content of that logic and where it can be applied are determined by the facts prevailing in that domain. Paying close attention to how inductive inference is conducted in science and copiously illustrated with real-world examples, The Material Theory of Induction will initiate a new tradition in the analysis of inductive inference.

Induction

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Publisher : MIT Press
ISBN 13 : 9780262580960
Total Pages : 420 pages
Book Rating : 4.5/5 (89 download)

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Book Synopsis Induction by : John H. Holland

Download or read book Induction written by John H. Holland and published by MIT Press. This book was released on 1986 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Two psychologists, a computer scientist, and a philosopher have collaborated to present a framework for understanding processes of inductive reasoning and learning in organisms and machines. Theirs is the first major effort to bring the ideas of several disciplines to bear on a subject that has been a topic of investigation since the time of Socrates. The result is an integrated account that treats problem solving and induction in terms of rule�based mental models. Induction is included in the Computational Models of Cognition and Perception Series. A Bradford Book.

Why Induction Matters

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Publisher : Pinter & Martin Why it Matters
ISBN 13 : 9781780666006
Total Pages : 180 pages
Book Rating : 4.6/5 (66 download)

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Book Synopsis Why Induction Matters by : Rachel Reed

Download or read book Why Induction Matters written by Rachel Reed and published by Pinter & Martin Why it Matters. This book was released on 2018-09 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why Induction Matters offers parents the knowledge to make their own informed decisions on induction.

Proofs from THE BOOK

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Publisher : Springer Science & Business Media
ISBN 13 : 3662223430
Total Pages : 194 pages
Book Rating : 4.6/5 (622 download)

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Book Synopsis Proofs from THE BOOK by : Martin Aigner

Download or read book Proofs from THE BOOK written by Martin Aigner and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.

Hume's Problem

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Publisher : Oxford University Press
ISBN 13 : 0198250371
Total Pages : 272 pages
Book Rating : 4.1/5 (982 download)

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Book Synopsis Hume's Problem by : Colin Howson

Download or read book Hume's Problem written by Colin Howson and published by Oxford University Press. This book was released on 2000 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers a solution to one of the central, unsolved problems of Western philosophy, that of induction. It explores the implications of Hume's argument that successful prediction tells us nothing about the truth of the predicting theory.

Induction of the Sycophant

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Publisher :
ISBN 13 : 9781940157139
Total Pages : 0 pages
Book Rating : 4.1/5 (571 download)

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Book Synopsis Induction of the Sycophant by : Tiger Moody

Download or read book Induction of the Sycophant written by Tiger Moody and published by . This book was released on 2015-03-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fiction