Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Induction Book PDF full book. Access full book title The Induction Book by Steven H. Weintraub. Download full books in PDF and EPUB format.
Author: Steven H. Weintraub Publisher: Courier Dover Publications ISBN: 0486821234 Category : Mathematics Languages : en Pages : 128
Book Description
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.
Author: Steven H. Weintraub Publisher: Courier Dover Publications ISBN: 0486821234 Category : Mathematics Languages : en Pages : 128
Book Description
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.
Author: Elijah Millgram Publisher: Harvard University Press ISBN: 9780674695979 Category : Philosophy Languages : en Pages : 204
Book Description
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.
Author: John D. Norton Publisher: Bsps Open ISBN: 9781773852751 Category : Philosophy Languages : en Pages : 544
Book Description
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.
Author: Kisor Kumar Chakrabarti Publisher: University of Hawaii Press ISBN: 9780824816582 Category : Philosophy Languages : en Pages : 252
Book Description
Definition is an important scientific and philosophical method. In all kinds of scientific and philosophical inquiries definition is provided to make clear the characteristics of the things under investigation. Definition in this sense, sometimes called real definition, should state the essence of the thing defined, according to Aristotle. In another (currently popular) sense, sometimes called nominal definition, definition explicates the meaning of a term already in use in an ordinary language or the scientific discourse or specifies the meaning of a new term introduced in an ordinary language of the scientific discourse. Definition combines the purposes of both real and nominal definition and is promoted by the Nyaya philosophers of India. Another important method of science and philosophy is induction. In a narrow sense induction is a method of generalization to all cases from the observation of particular cases. In a broad sense induction is a method for reasoning from some observed fact to a different fact not involved in the former. We understand induction in the broad sense though more often we shall actually be concerned with induction in the narrow sense. How can our limited experience of nature provide the rational basis for making knowlege claims about unobserved phenomena?
Author: S. L. Semiatin Publisher: ASM International ISBN: 1615031987 Category : Technology & Engineering Languages : en Pages : 342
Book Description
This book provides an overview of the range of applications of induction heating with methods by which conventional as well as special heating jobs can be designed around the capabilities of the process.
Author: Makoto Sei Watanabe Publisher: Springer Science & Business Media ISBN: 9783764366414 Category : Architecture Languages : en Pages : 100
Book Description
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.
Author: John H. Holland Publisher: MIT Press ISBN: 9780262580960 Category : Philosophy Languages : en Pages : 420
Book Description
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.
Author: Gerhard Schurz Publisher: MIT Press ISBN: 0262352451 Category : Philosophy Languages : en Pages : 401
Book Description
A new approach to Hume's problem of induction that justifies the optimality of induction at the level of meta-induction. Hume's problem of justifying induction has been among epistemology's greatest challenges for centuries. In this book, Gerhard Schurz proposes a new approach to Hume's problem. Acknowledging the force of Hume's arguments against the possibility of a noncircular justification of the reliability of induction, Schurz demonstrates instead the possibility of a noncircular justification of the optimality of induction, or, more precisely, of meta-induction (the application of induction to competing prediction models). Drawing on discoveries in computational learning theory, Schurz demonstrates that a regret-based learning strategy, attractivity-weighted meta-induction, is predictively optimal in all possible worlds among all prediction methods accessible to the epistemic agent. Moreover, the a priori justification of meta-induction generates a noncircular a posteriori justification of object induction. Taken together, these two results provide a noncircular solution to Hume's problem. Schurz discusses the philosophical debate on the problem of induction, addressing all major attempts at a solution to Hume's problem and describing their shortcomings; presents a series of theorems, accompanied by a description of computer simulations illustrating the content of these theorems (with proofs presented in a mathematical appendix); and defends, refines, and applies core insights regarding the optimality of meta-induction, explaining applications in neighboring disciplines including forecasting sciences, cognitive science, social epistemology, and generalized evolution theory. Finally, Schurz generalizes the method of optimality-based justification to a new strategy of justification in epistemology, arguing that optimality justifications can avoid the problems of justificatory circularity and regress.
Author: Andrzej Trzynadlowski Publisher: Academic Press ISBN: 0127015108 Category : Science Languages : en Pages : 242
Book Description
This is a reference source for practising engineers specializing in electric power engineering and industrial electronics. It begins with the basic dynamic models of induction motors and progresses to low- and high-performance drive systems.
Author: Valery Rudnev Publisher: CRC Press ISBN: 1351643762 Category : Science Languages : en Pages : 816
Book Description
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.
Author: Steven H. Weintraub
Author: Steven H. Weintraub
Author: Elijah Millgram
Author: John D. Norton
Author: Kisor Kumar Chakrabarti
Author: S. L. Semiatin
Author: Makoto Sei Watanabe
Author: John H. Holland
Author: Gerhard Schurz
Author: Andrzej Trzynadlowski
Author: Valery Rudnev