The Geometric Vein

The Geometric Vein PDF Author: C. Davis
Publisher: Springer Science & Business Media
ISBN: 1461256488
Category : Mathematics
Languages : en
Pages : 590

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Book Description
Geometry has been defined as that part of mathematics which makes appeal to the sense of sight; but this definition is thrown in doubt by the existence of great geometers who were blind or nearly so, such as Leonhard Euler. Sometimes it seems that geometric methods in analysis, so-called, consist in having recourse to notions outside those apparently relevant, so that geometry must be the joining of unlike strands; but then what shall we say of the importance of axiomatic programmes in geometry, where reference to notions outside a restricted reper tory is banned? Whatever its definition, geometry clearly has been more than the sum of its results, more than the consequences of some few axiom sets. It has been a major current in mathematics, with a distinctive approach and a distinc ti v e spirit. A current, furthermore, which has not been constant. In the 1930s, after a period of pervasive prominence, it appeared to be in decline, even passe. These same years were those in which H. S. M. Coxeter was beginning his scientific work. Undeterred by the unfashionability of geometry, Coxeter pursued it with devotion and inspiration. By the 1950s he appeared to the broader mathematical world as a consummate practitioner of a peculiar, out-of-the-way art. Today there is no longer anything that out-of-the-way about it. Coxeter has contributed to, exemplified, we could almost say presided over an unanticipated and dra matic revival of geometry.

The Geometric Vein

The Geometric Vein PDF Author: C. Davis
Publisher: Springer Science & Business Media
ISBN: 1461256488
Category : Mathematics
Languages : en
Pages : 590

Get Book Here

Book Description
Geometry has been defined as that part of mathematics which makes appeal to the sense of sight; but this definition is thrown in doubt by the existence of great geometers who were blind or nearly so, such as Leonhard Euler. Sometimes it seems that geometric methods in analysis, so-called, consist in having recourse to notions outside those apparently relevant, so that geometry must be the joining of unlike strands; but then what shall we say of the importance of axiomatic programmes in geometry, where reference to notions outside a restricted reper tory is banned? Whatever its definition, geometry clearly has been more than the sum of its results, more than the consequences of some few axiom sets. It has been a major current in mathematics, with a distinctive approach and a distinc ti v e spirit. A current, furthermore, which has not been constant. In the 1930s, after a period of pervasive prominence, it appeared to be in decline, even passe. These same years were those in which H. S. M. Coxeter was beginning his scientific work. Undeterred by the unfashionability of geometry, Coxeter pursued it with devotion and inspiration. By the 1950s he appeared to the broader mathematical world as a consummate practitioner of a peculiar, out-of-the-way art. Today there is no longer anything that out-of-the-way about it. Coxeter has contributed to, exemplified, we could almost say presided over an unanticipated and dra matic revival of geometry.

The Geometric Vein

The Geometric Vein PDF Author: Harold S. M. Coxeter
Publisher:
ISBN: 9783540905875
Category : Geometry
Languages : en
Pages : 598

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Book Description
Geometry has been defined as that part of mathematics which makes appeal to the sense of sight; but this definition is thrown in doubt by the existence of great geometers who were blind or nearly so, such as Leonhard Euler. Sometimes it seems that geometric methods in analysis, so-called, consist in having recourse to notions outside those apparently relevant, so that geometry must be the joining of unlike strands; but then what shall we say of the importance of axiomatic programmes in geometry, where reference to notions outside a restricted reper- tory is banned? Whatever its definition, geometry clearly has been more than the sum of its results, more than the consequences of some few axiom sets. It has been a major current in mathematics, with a distinctive approach and a distinc- ti v e spirit. A current, furthermore, which has not been constant. In the 1930s, after a period of pervasive prominence, it appeared to be in decline, even passe. These same years were those in which H. S. M. Coxeter was beginning his scientific work. Undeterred by the unfashionability of geometry, Coxeter pursued it with devotion and inspiration.By the 1950s he appeared to the broader mathematical world as a consummate practitioner of a peculiar, out-of-the-way art. Today there is no longer anything that out-of-the-way about it. Coxeter has contributed to, exemplified, we could almost say presided over an unanticipated and dra- matic revival of geometry.

The Techniques of Modern Structural Geology

The Techniques of Modern Structural Geology PDF Author: John G. Ramsay
Publisher: Academic Press
ISBN: 9780125769228
Category : Science
Languages : en
Pages : 454

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Book Description
CD-ROM contains the programs described v. 3 and listed in the appendices of the sessions.

Biometric Recognition

Biometric Recognition PDF Author: Zhenan Sun
Publisher: Springer
ISBN: 3319124846
Category : Computers
Languages : en
Pages : 558

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Book Description
This book constitutes the refereed proceedings of the 9th Chinese Conference on Biometric Recognition, CCBR 2014, held in Shenyang, China, in November 2014. The 60 revised full papers presented were carefully reviewed and selected from among 90 submissions. The papers focus on face, fingerprint and palmprint, vein biometrics, iris and ocular biometrics, behavioral biometrics, application and system of biometrics, multi-biometrics and information fusion, other biometric recognition and processing.

Visualization, Explanation and Reasoning Styles in Mathematics

Visualization, Explanation and Reasoning Styles in Mathematics PDF Author: P. Mancosu
Publisher: Springer Science & Business Media
ISBN: 1402033354
Category : Mathematics
Languages : en
Pages : 315

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Book Description
In the 20th century philosophy of mathematics has to a great extent been dominated by views developed during the so-called foundational crisis in the beginning of that century. These views have primarily focused on questions pertaining to the logical structure of mathematics and questions regarding the justi?cation and consistency of mathematics. Paradigmatic in this - spect is Hilbert’s program which inherits from Frege and Russell the project to formalize all areas of ordinary mathematics and then adds the requi- ment of a proof, by epistemically privileged means (?nitistic reasoning), of the consistency of such formalized theories. While interest in modi?ed v- sions of the original foundational programs is still thriving, in the second part of the twentieth century several philosophers and historians of mat- matics have questioned whether such foundational programs could exhaust the realm of important philosophical problems to be raised about the nature of mathematics. Some have done so in open confrontation (and hostility) to the logically based analysis of mathematics which characterized the cl- sical foundational programs, while others (and many of the contributors to this book belong to this tradition) have only called for an extension of the range of questions and problems that should be raised in connection with an understanding of mathematics. The focus has turned thus to a consideration of what mathematicians are actually doing when they produce mathematics. Questions concerning concept-formation, understanding, heuristics, changes instyle of reasoning, the role of analogies and diagrams etc.

Bifurcation Theory and Applications

Bifurcation Theory and Applications PDF Author: L. Salvadori
Publisher: Springer
ISBN: 3540388125
Category : Mathematics
Languages : en
Pages : 242

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Book Description


Geology and Mineral Deposits of the Venezuelan Guayana Shield

Geology and Mineral Deposits of the Venezuelan Guayana Shield PDF Author: Gary B. Sidder
Publisher:
ISBN:
Category : Geology
Languages : en
Pages : 328

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Book Description


Smart Health

Smart Health PDF Author: Chunxiao Xing
Publisher: Springer
ISBN: 3319598589
Category : Medical
Languages : en
Pages : 260

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Book Description
This book constitutes the thoroughly refereed post-conference proceedings of theInternational Conference for Smart Health, ICSH 2016, held in Haikou, Hainan, China, in December 2016. The 23 full papers presented were carefully reviewed and selected from 52 submissions.They are organized around the following topics: big data and smart health; health data analysis and management; healthcare intelligent systems and clinical practice; medical monitoring and information extraction; clinical and medical data mining.

International Conference on Advancements of Medicine and Health Care through Technology; 29th August - 2nd September 2011, Cluj-Napoca, Romania

International Conference on Advancements of Medicine and Health Care through Technology; 29th August - 2nd September 2011, Cluj-Napoca, Romania PDF Author: Simona Vlad
Publisher: Springer Science & Business Media
ISBN: 3642225861
Category : Technology & Engineering
Languages : en
Pages : 415

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Book Description
This volume presents the contributions of the third International Conference on Advancements of Medicine and Health Care through Technology (Meditech 2011), held in in Cluj-Napoca, Romania. The papers of this Proceedings volume present new developments in - Health Care Technology, - Medical Devices, Measurement and Instrumentation, - Medical Imaging, Image and Signal Processing, - Modeling and Simulation, - Molecular Bioengineering, - Biomechanics.

The Real Numbers and Real Analysis

The Real Numbers and Real Analysis PDF Author: Ethan D. Bloch
Publisher: Springer Science & Business Media
ISBN: 0387721762
Category : Mathematics
Languages : en
Pages : 577

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Book Description
This text is a rigorous, detailed introduction to real analysis that presents the fundamentals with clear exposition and carefully written definitions, theorems, and proofs. It is organized in a distinctive, flexible way that would make it equally appropriate to undergraduate mathematics majors who want to continue in mathematics, and to future mathematics teachers who want to understand the theory behind calculus. The Real Numbers and Real Analysis will serve as an excellent one-semester text for undergraduates majoring in mathematics, and for students in mathematics education who want a thorough understanding of the theory behind the real number system and calculus.