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Author: Jean Nicod
Publisher: Univ of California Press
ISBN: 9780520016897
Category : Mathematics
Languages : en
Pages : 270
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Book Description
Author: Jean Nicod
Publisher: Univ of California Press
ISBN: 9780520016897
Category : Mathematics
Languages : en
Pages : 270
Get Book Here
Book Description
Author: L.I. Golovina
Publisher: Courier Dover Publications
ISBN: 0486838560
Category : Mathematics
Languages : en
Pages : 177
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Book Description
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.
Author: Jean Nicod
Publisher: Routledge
ISBN: 1317830695
Category : Philosophy
Languages : en
Pages : 291
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Book Description
This is Volume of IV eight on a series on the Philosophy of Logic and Mathematics. Originally published in 1930, this study contains sections on geometry in the sensible world and the logical problem of induction.
Author: Titu Andreescu
Publisher:
ISBN: 9780996874595
Category : Induction (Mathematics)
Languages : en
Pages : 432
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Book Description
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.
Author: Andreĭ Petrovich Kiselev
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 192
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Book Description
This volume completes the English adaptation of a classical Russian textbook in elementary Euclidean geometry. The 1st volume subtitled "Book I. Planimetry" was published in 2006 (ISBN 0977985202). This 2nd volume (Book II. Stereometry) covers solid geometry, and contains a chapter on vectors, foundations, and introduction in non-Euclidean geometry added by the translator. The book intended for high-school and college students, and their teachers. Includes 317 exercises, index, and bibliography.
Author: Ugo Ripamonti
Publisher: CRC Press
ISBN: 0429515308
Category : Medical
Languages : en
Pages : 208
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Book Description
The Geometric Induction of Bone Formation describes new biomimetic biomaterials that offer mechanistic osteogenic surfaces for the autonomous and spontaneous induction of bone formation without the addition of osteogenic soluble molecular signals of the transforming growth factor-β supergene family. The chapters frame our understanding of regenerative medicine in primate species, including humans. The goal is to unravel the fundamental biological mechanisms of bone formation unique to non-human and human primates. The broad target audience dovetails with several disciplines both in the academic and private biotech sectors primarily involved in molecular biology, tissue biology, tissue engineering, biomaterial science, and reconstructive, orthopedic, plastic, and dental surgery. Key Features Includes outstanding images of undecalcified whole mounted sections Summarizes non-human primate research – ideal for clinical translation Reviews methods for creating devices capable of making bone autonomously, i.e. an intrinsically osteo-inductive bioreactor and/or biomaterial Describes the spontaneous induction of bone formation including a whole spectrum of tissue biology, from basic molecular biology to clear-cut morphology and pre-clinical application in non-human primate species Intended for audiences in both academic research and the biotech industry
Author: Peter Gardenfors
Publisher: MIT Press
ISBN: 9780262572194
Category : Psychology
Languages : en
Pages : 324
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Book Description
Within cognitive science, two approaches currently dominate the problem of modeling representations. The symbolic approach views cognition as computation involving symbolic manipulation. Connectionism, a special case of associationism, models associations using artificial neuron networks. Peter Gärdenfors offers his theory of conceptual representations as a bridge between the symbolic and connectionist approaches. Symbolic representation is particularly weak at modeling concept learning, which is paramount for understanding many cognitive phenomena. Concept learning is closely tied to the notion of similarity, which is also poorly served by the symbolic approach. Gärdenfors's theory of conceptual spaces presents a framework for representing information on the conceptual level. A conceptual space is built up from geometrical structures based on a number of quality dimensions. The main applications of the theory are on the constructive side of cognitive science: as a constructive model the theory can be applied to the development of artificial systems capable of solving cognitive tasks. Gärdenfors also shows how conceptual spaces can serve as an explanatory framework for a number of empirical theories, in particular those concerning concept formation, induction, and semantics. His aim is to present a coherent research program that can be used as a basis for more detailed investigations.
Author: Álvaro Lozano-Robledo
Publisher: American Mathematical Soc.
ISBN: 147045016X
Category : Mathematics
Languages : en
Pages : 506
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Book Description
Geometry and the theory of numbers are as old as some of the oldest historical records of humanity. Ever since antiquity, mathematicians have discovered many beautiful interactions between the two subjects and recorded them in such classical texts as Euclid's Elements and Diophantus's Arithmetica. Nowadays, the field of mathematics that studies the interactions between number theory and algebraic geometry is known as arithmetic geometry. This book is an introduction to number theory and arithmetic geometry, and the goal of the text is to use geometry as the motivation to prove the main theorems in the book. For example, the fundamental theorem of arithmetic is a consequence of the tools we develop in order to find all the integral points on a line in the plane. Similarly, Gauss's law of quadratic reciprocity and the theory of continued fractions naturally arise when we attempt to determine the integral points on a curve in the plane given by a quadratic polynomial equation. After an introduction to the theory of diophantine equations, the rest of the book is structured in three acts that correspond to the study of the integral and rational solutions of linear, quadratic, and cubic curves, respectively. This book describes many applications including modern applications in cryptography; it also presents some recent results in arithmetic geometry. With many exercises, this book can be used as a text for a first course in number theory or for a subsequent course on arithmetic (or diophantine) geometry at the junior-senior level.
Author: Judah L. Schwartz
Publisher: Routledge
ISBN: 1134758383
Category : Education
Languages : en
Pages : 267
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Book Description
This volume is a case study of education reform and innovation using technology that examines the issue from a wide variety of perspectives. It brings together the views and experiences of software designers, curriculum writers, teachers and students, researchers and administrators. Thus, it stands in contrast to other analyses of innovation that tend to look through the particular prisms of research, classroom practice, or software design. The Geometric Supposer encourages a belief in a better tomorrow for schools. On its surface, the Geometric Supposer provides the means for radically altering the way in which geometry is taught and the quality of learning that can be achieved. At a deeper level, however, it suggests a powerful metaphor for improving education that can be played out in many different instructional contexts.
Author: Michael Serra
Publisher:
ISBN: 9781559535885
Category : Mathematics
Languages : en
Pages : 34
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Book Description
