Normal Partitions And Hierarchical Fillings Of N Dimensional Spaces

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Normal Partitions and Hierarchical Fillings of N-Dimensional Spaces

Author : Zhizhin, Gennadiy Vladimirovich
Publisher : IGI Global
ISBN 13 : 1799867706
Total Pages : 280 pages
Book Rating : 4.7/5 (998 download)

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Book Synopsis Normal Partitions and Hierarchical Fillings of N-Dimensional Spaces by : Zhizhin, Gennadiy Vladimirovich

Download or read book Normal Partitions and Hierarchical Fillings of N-Dimensional Spaces written by Zhizhin, Gennadiy Vladimirovich and published by IGI Global. This book was released on 2020-12-25 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the study of the structure of substances in recent decades, phenomena in the higher dimension was discovered that was previously unknown. These include spontaneous zooming (scaling processes), discovery of crystals with the absence of translational symmetry in three-dimensional space, detection of the fractal nature of matter, hierarchical filling of space with polytopes of higher dimension, and the highest dimension of most molecules of chemical compounds. This forces research to expand the formulation of the question of constructing n-dimensional spaces, posed by David Hilbert in 1900, and to abandon the methods of considering the construction of spaces by geometric figures that do not take into account the accumulated discoveries in the physics of the structure of substances. There is a need for research that accounts for the new paradigm of the discrete world and provides a solution to Hilbert's 18th problem of constructing spaces of higher dimension using congruent figures. Normal Partitions and Hierarchical Fillings of N-Dimensional Spaces aims to consider the construction of spaces of various dimensions from two to any finite dimension n, taking into account the indicated conditions, including zooming in on shapes, properties of geometric figures of higher dimensions, which have no analogue in three-dimensional space. This book considers the conditions of existence of polytopes of higher dimension, clusters of chemical compounds as polytopes of the highest dimension, higher dimensions in the theory of heredity, the geometric structure of the product of polytopes, the products of polytopes on clusters and molecules, parallelohedron and stereohedron of Delaunay, parallelohedron of higher dimension and partition of n-dimensional spaces, hierarchical filling of n-dimensional spaces, joint normal partitions, and hierarchical fillings of n-dimensional spaces. In addition, it pays considerable attention to biological problems. This book is a valuable reference tool for practitioners, stakeholders, researchers, academicians, and students who are interested in learning more about the latest research on normal partitions and hierarchical fillings of n-dimensional spaces.

The Classes of Higher Dimensional Polytopes in Chemical, Physical, and Biological Systems

Author : Zhizhin, Gennadiy Vladimirovich
Publisher : IGI Global
ISBN 13 : 1799883760
Total Pages : 366 pages
Book Rating : 4.7/5 (998 download)

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Book Synopsis The Classes of Higher Dimensional Polytopes in Chemical, Physical, and Biological Systems by : Zhizhin, Gennadiy Vladimirovich

Download or read book The Classes of Higher Dimensional Polytopes in Chemical, Physical, and Biological Systems written by Zhizhin, Gennadiy Vladimirovich and published by IGI Global. This book was released on 2022-04-08 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of the geometry of structures that arise in a variety of specific natural systems, such as chemical, physical, biological, and geological, revealed the existence of a wide range of types of polytopes of the highest dimension that were unknown in classical geometry. At the same time, new properties of polytopes were discovered as well as the geometric patterns to which they obey. There is a need to classify these types of polytopes of the highest dimension by listing their properties and formulating the laws to which they obey. The Classes of Higher Dimensional Polytopes in Chemical, Physical, and Biological Systems explains the meaning of higher dimensions and systematically generalizes the results of geometric research in various fields of knowledge. This book is useful both for the fundamental development of geometry and for the development of branches of science related to human activities. It builds upon previous books published by the author on this topic. Covering areas such as heredity, geometry, and dimensions, this reference work is ideal for researchers, scholars, academicians, practitioners, industry professionals, instructors, and students.

Biochemistry in the Space of the Highest Dimension

Author : Zhizhin, Gennadiy Vladimirovich
Publisher : IGI Global
ISBN 13 :
Total Pages : 341 pages
Book Rating : 4.3/5 (693 download)

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Book Synopsis Biochemistry in the Space of the Highest Dimension by : Zhizhin, Gennadiy Vladimirovich

Download or read book Biochemistry in the Space of the Highest Dimension written by Zhizhin, Gennadiy Vladimirovich and published by IGI Global. This book was released on 2024-04-29 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: In biochemistry, a critical oversight persists in neglecting molecules' higher dimensionality and its profound implications for living organisms. Despite groundbreaking research revealing the transformative properties imbued by higher dimensions, mainstream biochemistry remains entrenched in a two-dimensional paradigm, failing to recognize the intricate relationship between molecular structure and biological function. This oversight poses a significant obstacle in understanding and addressing complex diseases plaguing humanity, from cancer to neurological disorders. Biochemistry in the Space of the Highest Dimension is a groundbreaking book that pioneers a paradigm shift in biochemistry, systematically unraveling the mysteries of higher-dimensional biomolecules and their impact on living organisms. Through meticulously researched chapters addressing topics from the structure of nucleic acids to the emergence of life itself, this book provides a comprehensive framework for understanding and leveraging the power of higher dimensions in biochemistry. Bridging the gap between theory and application offers scholars and practitioners a transformative roadmap toward innovative therapies and a deeper understanding of life's complexities.

Advanced Manufacturing Techniques for Engineering and Engineered Materials

Author : Thanigaivelan, R.
Publisher : IGI Global
ISBN 13 : 1799895769
Total Pages : 351 pages
Book Rating : 4.7/5 (998 download)

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Book Synopsis Advanced Manufacturing Techniques for Engineering and Engineered Materials by : Thanigaivelan, R.

Download or read book Advanced Manufacturing Techniques for Engineering and Engineered Materials written by Thanigaivelan, R. and published by IGI Global. This book was released on 2022-03-11 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: As technology advances, it is imperative to stay current in the newest developments made within the engineering industry and within material sciences. Trends in manufacturing such as 3D printing, casting, welding, surface modification, computer numerical control (CNC), non-traditional, Industry 4.0 ergonomics, and hybrid machining methods must be closely examined to utilize these important resources for the betterment of society. Advanced Manufacturing Techniques for Engineering and Engineered Materials provides a unified and complete overview about the recent and emerging trends, developments, and associated technology with scope for the commercialization of techniques specific to manufacturing materials. This book also reviews the various machining methods for difficult-to-cut materials and novel materials including matrix composites. Covering topics such as agro-waste, conventional machining, and material performance, this book is an essential resource for researchers, engineers, technologists, students and professors of higher education, industry workers, entrepreneurs, researchers, and academicians.

Handbook of Research on Nanoemulsion Applications in Agriculture, Food, Health, and Biomedical Sciences

Author : Ramalingam, Karthikeyan
Publisher : IGI Global
ISBN 13 : 1799883809
Total Pages : 671 pages
Book Rating : 4.7/5 (998 download)

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Book Synopsis Handbook of Research on Nanoemulsion Applications in Agriculture, Food, Health, and Biomedical Sciences by : Ramalingam, Karthikeyan

Download or read book Handbook of Research on Nanoemulsion Applications in Agriculture, Food, Health, and Biomedical Sciences written by Ramalingam, Karthikeyan and published by IGI Global. This book was released on 2021-12-03 with total page 671 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nanoemulsions are produced by mixing an oil phase with an aqueous phase under shear pressure. This procedure yields uniform populations of oil droplets ranging in diameter from 200 to 8 nm that are kinetically stable colloidal substances with enhanced properties compared to the conventional emulsion substances. Nanoemulsions have broad potential applications in agriculture, food, health, and biomedical sciences. The Handbook of Research on Nanoemulsion Applications in Agriculture, Food, Health, and Biomedical Sciences focuses on the aspects of nanoemulsion-like synthesis, characterization, and more and examines recent trends in their applications within a variety of relevant fields. Nanoemulsions have broad application in many different fields; without emulsification, process product development would not be possible. Covering topics such as cancer treatment, healthcare applications, and food manufacturing, this book is essential for scientists, doctors, researchers, post-graduate students, medical students, government officials, hospital directors, professors, and academicians.

Handbook of Research on Green Synthesis and Applications of Nanomaterials

Author : Garg, Rajni
Publisher : IGI Global
ISBN 13 : 1799889386
Total Pages : 569 pages
Book Rating : 4.7/5 (998 download)

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Book Synopsis Handbook of Research on Green Synthesis and Applications of Nanomaterials by : Garg, Rajni

Download or read book Handbook of Research on Green Synthesis and Applications of Nanomaterials written by Garg, Rajni and published by IGI Global. This book was released on 2022-01-14 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nanomaterials can be synthesized by physical, chemical, and biological methods; however, the latter technique is preferred as it is eco-friendly, non-toxic, and cost-effective. The green synthesized nanomaterials have been found to be more efficient with potential applications in diverse fields. It is crucial to explore green synthesized nanomaterials and the applications that can be made in order to support water remediation, pharmaceuticals, food processing, construction, and more. The Handbook of Research on Green Synthesis and Applications of Nanomaterials provides a multidisciplinary approach to the awareness of using non-toxic, eco-friendly, and economical green techniques for the synthesis of various nanomaterials, as well as their applications across a variety of fields. Covering topics such as antimicrobial applications, environmental remediation, and green synthesis, this book acts as a thorough reference for engineers, nanotechnology professionals, academicians, students, scientists, and researchers pursuing research in the nanotechnology field.

Handbook of Research on Advancements in the Processing, Characterization, and Application of Lightweight Materials

Author : Kumar, Kaushik
Publisher : IGI Global
ISBN 13 : 179987866X
Total Pages : 458 pages
Book Rating : 4.7/5 (998 download)

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Book Synopsis Handbook of Research on Advancements in the Processing, Characterization, and Application of Lightweight Materials by : Kumar, Kaushik

Download or read book Handbook of Research on Advancements in the Processing, Characterization, and Application of Lightweight Materials written by Kumar, Kaushik and published by IGI Global. This book was released on 2021-11-19 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the automotive industry, the need to reduce vehicle weight has given rise to extensive research efforts to develop aluminum and magnesium alloys for structural car body parts. In aerospace, the move toward composite airframe structures urged an increased use of formable titanium alloys. In steel research, there are ongoing efforts to design novel damage-controlled forming processes for a new generation of efficient and reliable lightweight steel components. All these materials, and more, constitute today’s research mission for lightweight structures. They provide a fertile materials science research field aiming to achieve a better understanding of the interplay between industrial processing, microstructure development, and the resulting material properties. The Handbook of Research on Advancements in the Processing, Characterization, and Application of Lightweight Materials provides the recent advancements in the lightweight mat materials processing, manufacturing, and characterization. This book identifies the need for modern tools and techniques for designing lightweight materials and addresses multidisciplinary approaches for applying their use. Covering topics such as numerical optimization, fatigue characterization, and process evaluation, this text is an essential resource for materials engineers, manufacturers, practitioners, engineers, academicians, chief research officers, researchers, students, and vice presidents of research in government, industry, and academia.

Emerging Applications and Implementations of Metal-Organic Frameworks

Author : Elsaeed, Shimaa Mohamed
Publisher : IGI Global
ISBN 13 : 1799847616
Total Pages : 254 pages
Book Rating : 4.7/5 (998 download)

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Book Synopsis Emerging Applications and Implementations of Metal-Organic Frameworks by : Elsaeed, Shimaa Mohamed

Download or read book Emerging Applications and Implementations of Metal-Organic Frameworks written by Elsaeed, Shimaa Mohamed and published by IGI Global. This book was released on 2021-03-18 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metal-organic frameworks (MOFs) are some of the most discussed materials of the last decade. Their extraordinary porosity and functionality from metals and organic linkers make them one of the most promising materials for a vast array of applications. The easy tunability of their pore size and shape from the micro- to meso-scale by changing the connectivity of the inorganic moiety and the nature of the organic linkers makes these materials special. Moreover, by combining with other suitable materials, the properties of MOFs can be improved further for enhanced functionality/stability, ease of preparation, and selectivity of operation. Emerging Applications and Implementations of Metal-Organic Frameworks combines the latest empirical research findings with relevant theoretical frameworks in this area in order to improve the reader’s understanding of MOFs and their different applications in areas that include drug delivery, heavy metal removal from water, and gas storage. The design and synthesis of MOFs are also investigated along with the preparation of composites of MOFs. While covering applications that include water defluoridation, rechargeable batteries, and pharmaceutically adapted drug delivery systems, the book’s target audience is comprised of professionals, researchers, academicians, and students working in the field of physical and polymer chemistry, physics, engineering science, and environmental science.

Handbook of Research on Tribology in Coatings and Surface Treatment

Author : Pakseresht, Amirhossein
Publisher : IGI Global
ISBN 13 : 1799896854
Total Pages : 470 pages
Book Rating : 4.7/5 (998 download)

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Book Synopsis Handbook of Research on Tribology in Coatings and Surface Treatment by : Pakseresht, Amirhossein

Download or read book Handbook of Research on Tribology in Coatings and Surface Treatment written by Pakseresht, Amirhossein and published by IGI Global. This book was released on 2022-03-25 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances are continuously being made in applying the coatings and surface treatments by different techniques to reduce the damages from tribology. Engineers need more detailed information to compare the capability of each coating process in wear resistant and lubrication applications. It is also important to focus on the concepts of tribology in various applications such as the manufacturing process, bio implants, machine elements, and corrosive environments. The need for a comprehensive resource addressing these findings in order to improve wear resistance is unavoidable. The Handbook of Research on Tribology in Coatings and Surface Treatment evaluates the latest advances the fabrication of wear-resistant and lubricant coatings by different techniques and investigates wear-resistant coatings and surface treatments in various applications such as the automobile industry. Covering a wide range of topics such as lubricant coatings and wearable electronic devices, it is ideal for engineers, industry professionals, researchers, academicians, scholars, practitioners, instructors, and students.

The Geometry of Higher-Dimensional Polytopes

Author : Zhizhin, Gennadiy Vladimirovich
Publisher : IGI Global
ISBN 13 : 1522569693
Total Pages : 301 pages
Book Rating : 4.5/5 (225 download)

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Book Synopsis The Geometry of Higher-Dimensional Polytopes by : Zhizhin, Gennadiy Vladimirovich

Download or read book The Geometry of Higher-Dimensional Polytopes written by Zhizhin, Gennadiy Vladimirovich and published by IGI Global. This book was released on 2018-08-03 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: The majority of the chemical elements form chemical compounds with molecules of higher dimension (i.e., substantially exceeding three). This fact is very important for the analysis of molecular interactions in various areas: nanomedicine, nanotoxicology, and quantum biology. The Geometry of Higher-Dimensional Polytopes contains innovative research on the methods and applications of the structures of binary compounds. It explores the study of geometry polytopes from a higher-dimensional perspective, taking into account the features of polytopes that are models of chemical compounds. While highlighting topics including chemical compounds, symmetry transformation, and DNA structures, this book is ideally designed for researchers, academicians, and students seeking current research on dimensions present in binary compounds.

Chemical Compound Structures and the Higher Dimension of Molecules: Emerging Research and Opportunities

Author : Zhizhin, Gennadiy Vladimirovich
Publisher : IGI Global
ISBN 13 : 1522541098
Total Pages : 235 pages
Book Rating : 4.5/5 (225 download)

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Book Synopsis Chemical Compound Structures and the Higher Dimension of Molecules: Emerging Research and Opportunities by : Zhizhin, Gennadiy Vladimirovich

Download or read book Chemical Compound Structures and the Higher Dimension of Molecules: Emerging Research and Opportunities written by Zhizhin, Gennadiy Vladimirovich and published by IGI Global. This book was released on 2017-12-08 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally, scientists believed that molecules were three-dimensional; however, studies have proven that geometric dimensions are continuous. Therefore, molecules are able to have higher dimensions which influences how they interact with other molecules leading to advances in various fields including nanomedicine, nanotoxicology and quantum biology. Chemical Compound Structures and the Higher Dimension of Molecules: Emerging Research and Opportunities is a pivotal reference work studying the relationship between chemical compounds and dimensional space. Featuring comprehensive coverage across a range of related topics, such as convex polytypes, Euler-Poincaré equations, intermolecular interactions, and the Schrodiner equation, this book is an ideal reference source for academicians, researchers, and advance-level students seeking innovative research on molecule dimensions and interactions.

Holomorphic Curves in Low Dimensions

Author : Chris Wendl
Publisher : Springer
ISBN 13 : 3319913719
Total Pages : 303 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Holomorphic Curves in Low Dimensions by : Chris Wendl

Download or read book Holomorphic Curves in Low Dimensions written by Chris Wendl and published by Springer. This book was released on 2018-06-28 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides an accessible introduction to the applications of pseudoholomorphic curves in symplectic and contact geometry, with emphasis on dimensions four and three. The first half of the book focuses on McDuff's characterization of symplectic rational and ruled surfaces, one of the classic early applications of holomorphic curve theory. The proof presented here uses the language of Lefschetz fibrations and pencils, thus it includes some background on these topics, in addition to a survey of the required analytical results on holomorphic curves. Emphasizing applications rather than technical results, the analytical survey mostly refers to other sources for proofs, while aiming to provide precise statements that are widely applicable, plus some informal discussion of the analytical ideas behind them. The second half of the book then extends this program in two complementary directions: (1) a gentle introduction to Gromov-Witten theory and complete proof of the classification of uniruled symplectic 4-manifolds; and (2) a survey of punctured holomorphic curves and their applications to questions from 3-dimensional contact topology, such as classifying the symplectic fillings of planar contact manifolds. This book will be particularly useful to graduate students and researchers who have basic literacy in symplectic geometry and algebraic topology, and would like to learn how to apply standard techniques from holomorphic curve theory without dwelling more than necessary on the analytical details. This book is also part of the Virtual Series on Symplectic Geometry http://www.springer.com/series/16019

The Shape of Inner Space

Author : Shing-Tung Yau
Publisher : Il Saggiatore
ISBN 13 : 0465020232
Total Pages : 398 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis The Shape of Inner Space by : Shing-Tung Yau

Download or read book The Shape of Inner Space written by Shing-Tung Yau and published by Il Saggiatore. This book was released on 2010-09-07 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations.

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 1524 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2004 with total page 1524 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Foliations and the Geometry of 3-Manifolds

Author : Danny Calegari
Publisher : Oxford University Press on Demand
ISBN 13 : 0198570082
Total Pages : 378 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Foliations and the Geometry of 3-Manifolds by : Danny Calegari

Download or read book Foliations and the Geometry of 3-Manifolds written by Danny Calegari and published by Oxford University Press on Demand. This book was released on 2007-05-17 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions. Significant themes returned to throughout the text include the importance of geometry, especially the hyperbolic geometry of surfaces, the importance of monotonicity, especially in1-dimensional and co-dimensional dynamics, and combinatorial approximation, using finite combinatorical objects such as train-tracks, branched surfaces and hierarchies to carry more complicated continuous objects.

Three-dimensional Orbifolds and Their Geometric Structures

Author : Michel Boileau
Publisher :
ISBN 13 :
Total Pages : 180 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Three-dimensional Orbifolds and Their Geometric Structures by : Michel Boileau

Download or read book Three-dimensional Orbifolds and Their Geometric Structures written by Michel Boileau and published by . This book was released on 2003 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Orbifolds locally look like quotients of manifolds by finite group actions. They play an important role in the study of proper actions of discrete groups on manifolds. This monograph presents recent fundamental results on the geometry and topology of 3-dimensional orbifolds, with an emphasis on their geometric properties. It is suitable for graduate students and research mathematicians interested in geometry and topology.

The Sciences of the Artificial, reissue of the third edition with a new introduction by John Laird

Author : Herbert A. Simon
Publisher : MIT Press
ISBN 13 : 0262537532
Total Pages : 256 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis The Sciences of the Artificial, reissue of the third edition with a new introduction by John Laird by : Herbert A. Simon

Download or read book The Sciences of the Artificial, reissue of the third edition with a new introduction by John Laird written by Herbert A. Simon and published by MIT Press. This book was released on 2019-08-13 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Herbert Simon's classic work on artificial intelligence in the expanded and updated third edition from 1996, with a new introduction by John E. Laird. Herbert Simon's classic and influential The Sciences of the Artificial declares definitively that there can be a science not only of natural phenomena but also of what is artificial. Exploring the commonalities of artificial systems, including economic systems, the business firm, artificial intelligence, complex engineering projects, and social plans, Simon argues that designed systems are a valid field of study, and he proposes a science of design. For this third edition, originally published in 1996, Simon added new material that takes into account advances in cognitive psychology and the science of design while confirming and extending the book's basic thesis: that a physical symbol system has the necessary and sufficient means for intelligent action. Simon won the Nobel Prize for Economics in 1978 for his research into the decision-making process within economic organizations and the Turing Award (considered by some the computer science equivalent to the Nobel) with Allen Newell in 1975 for contributions to artificial intelligence, the psychology of human cognition, and list processing. The Sciences of the Artificial distills the essence of Simon's thought accessibly and coherently. This reissue of the third edition makes a pioneering work available to a new audience.