Dmitry Fuchs's Books

Homotopical Topology

By: Anatoly Fomenko,Dmitry Fuchs

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This textbook on algebraic topology updates a popular textbook from the golden era of the Moscow school of I. M. Gelfand. The first English translation, done many decades ago, remains very much in demand, although it has been long out-of-print and is difficult to obtain. Therefore, this updated English edition will be much welcomed by the mathematical community. Distinctive features of this book include: a concise but fully rigorous presentation, supplemented by a plethora of illustrations of a high technical and artistic caliber; a huge number of nontrivial examples and computations done in detail; a deeper and broader treatment of topics in comparison to most beginning books on algebraic topology; an extensive, and very concrete, treatment of the machinery of spectral sequences. The second edition contains an entirely new chapter on K-theory and the Riemann-Roch theorem (after Hirzebruch and Grothendieck).

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635

Publisher

Springer

Published Date

ISBN 10

3319234889

ISBN 13

9783319234885

Photosynthesis: Solar Energy For Life

By: Dmitry Shevela,Lars Olof Bjorn,Govindjee

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Photosynthesis: Solar Energy For Life

By: Dmitry Shevela,Lars Olof Bjorn,Govindjee

Photosynthesis has been an important field of research for more than a century, but the present concerns about energy, environment and climate have greatly intensified interest in and research on this topic. Research has progressed rapidly in recent years, and this book is an interesting read for an audience who is concerned with various ways of harnessing solar energy.Our understanding of photosynthesis can now be said to have reached encyclopedic dimensions. There have been, in the past, many good books at various levels. Our book is expected to fulfill the needs of advanced undergraduate and beginning graduate students in branches of biology, biochemistry, biophysics, and bioengineering because photosynthesis is the basis of future advances in producing more food, more biomass, more fuel, and new chemicals for our expanding global human population. Further, the basics of photosynthesis are and will be used not only for the above, but in artificial photosynthesis, an important emerging field where chemists, researchers and engineers of solar energy systems will play a major role.

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Page Count

205

Publisher

World Scientific Publishing

Published Date

ISBN 10

9813223138

ISBN 13

9789813223134

Algebraic Geometric Codes: Basic Notions

By: Michael Tsfasman,Serge Vlǎduţ,Dmitry Nogin

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Algebraic Geometric Codes: Basic Notions

By: Michael Tsfasman,Serge Vlǎduţ,Dmitry Nogin

The book is devoted to the theory of algebraic geometric codes, a subject formed on the border of several domains of mathematics. On one side there are such classical areas as algebraic geometry and number theory; on the other, information transmission theory, combinatorics, finite geometries, dense packings, etc. The authors give a unique perspective on the subject. Whereas most books on coding theory build up coding theory from within, starting from elementary concepts and almost always finishing without reaching a certain depth, this book constantly looks for interpretations that connect coding theory to algebraic geometry and number theory. There are no prerequisites other than a standard algebra graduate course. The first two chapters of the book can serve as an introduction to coding theory and algebraic geometry respectively. Special attention is given to the geometry of curves over finite fields in the third chapter. Finally, in the last chapter the authors explain relations between all of these: the theory of algebraic geometric codes.

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Page Count

338

Publisher

American Mathematical Society

Published Date

ISBN 10

1470470071

ISBN 13

9781470470074

Organized Collapse: An Introduction to Discrete Morse Theory

By: Dmitry N. Kozlov

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Organized Collapse: An Introduction to Discrete Morse Theory

By: Dmitry N. Kozlov

Applied topology is a modern subject which emerged in recent years at a crossroads of many methods, all of them topological in nature, which were used in a wide variety of applications in classical mathematics and beyond. Within applied topology, discrete Morse theory came into light as one of the main tools to understand cell complexes arising in different contexts, as well as to reduce the complexity of homology calculations. The present book provides a gentle introduction into this beautiful theory. Using a combinatorial approach—the author emphasizes acyclic matchings as the central object of study. The first two parts of the book can be used as a stand-alone introduction to homology, the last two parts delve into the core of discrete Morse theory. The presentation is broad, ranging from abstract topics, such as formulation of the entire theory using poset maps with small fibers, to heavily computational aspects, providing, for example, a specific algorithm of finding an explicit homology basis starting from an acyclic matching. The book will be appreciated by graduate students in applied topology, students and specialists in computer science and engineering, as well as research mathematicians interested in learning about the subject and applying it in context of their fields.

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Page Count

312

Publisher

American Mathematical Society

Published Date

ISBN 10

1470464551

ISBN 13

9781470464554

Hitler's Air Bridges

The Luftwaffe's Supply Operations of the Second World War

By: Dmitry Degtev,Dmitry Zubov

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Hitler's Air Bridges

The Luftwaffe's Supply Operations of the Second World War

By: Dmitry Degtev,Dmitry Zubov

Much has been written about the famous fighters and bombers of the Luftwaffe which proved so successful in the invasion of Poland, the Battle of France, the Battle of Britain and in the early operations in Eastern Europe. Little attention, however, has been focused on the Luftwaffe’s transport aircraft which played a vital role in supplying German forces in every theatre. In early May 1940, the battle of Norway was nearing its climax, but General Eduard Dietl’s 3rd Jäger division was blocked by the Allies in the Narvik area. Only the Luftwaffe could provide effective assistance to the encircled troops. The special purpose groups KGr.zbV107 and KGr.zbV108 were ordered to supply the division by air. Transports delivered ammunition, food, and even boots for German sailors who found themselves on land. This was the first of a number of occasions in which the Luftwaffe’s transport Gruppen, often equipped with the slow, but reliable Junkers 52, created an ‘air bridge’ to supply troops cut off or surrounded by the enemy. The transport Gruppen had previously been involved in supporting the advance of German forces during the Polish campaign, this being followed by the capture of Denmark, The Netherlands, Belgium, and Greece. During Operation Barbarossa, German troops were dispersed over the vast expanses of Russia. It was a country without roads where the normal supply by trucks and trains to the troops was difficult and sometimes impossible. Often, it was only the Luftwaffe’s transport aircraft that kept the Germans fighting. But with Hitler’s insistence that there should be no retreat despite the overwhelming strength of the Soviet forces, his Germans armies found themselves surrounded and the Luftwaffe had to create air bridges to supply the beleaguered troops. Nowhere was this more evident than the Battle of Stalingrad, Göring having convinced Hitler that the Luftwaffe was capable of keeping the Sixth Army supplied. As the war increasingly turned against the Third Reich, air bridges were vital in supporting and maintaining its garrisons in places such as Demyansk, Holm, Korsun, Budapest, Breslau, and many others. Hitler’s Air Bridges presents the story of the Luftwaffe’s transport Gruppen more extensively and in greater detail than ever before.

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Page Count

306

Publisher

Air World

Published Date

ISBN 10

1526789965

ISBN 13

9781526789969

Surgical Approaches to Esophageal Disease, An Issue of Surgical Clinics

By: Dmitry Oleynikov

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Surgical Approaches to Esophageal Disease, An Issue of Surgical Clinics

By: Dmitry Oleynikov

Surgical Management of Esophageal Disease is reviewed extensively in this important Surgical Clinics of North America issue. Articles include: Approach to Patients with Esophageal Dysphagia; Esophageal Motility Disorders; Achalasia; Esophageal Stricture and Diverticula; Benign Esophageal Masses; Gastroesophageal Disease; Barrett’s Esophagus; Preoperative Evaluation of GERD; Surgical Treatment of GERD; Endoscopic Treatment of GERD; Paraesophageal Hernia; Short Esophagus; Reoperative Antireflux Surgery; GERD after Bariatric Procedure; Minimally Invasive Esophagectomy for Benign Eosphageal Disease; and more!

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Page Count

249

Publisher

Elsevier Health Sciences

Published Date

ISBN 10

0323389090

ISBN 13

9780323389099

Linear Holomorphic Partial Differential Equations and Classical Potential Theory

By: Dmitry Khavinson,Erik Lundberg

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Linear Holomorphic Partial Differential Equations and Classical Potential Theory

By: Dmitry Khavinson,Erik Lundberg

Why do solutions of linear analytic PDE suddenly break down? What is the source of these mysterious singularities, and how do they propagate? Is there a mean value property for harmonic functions in ellipsoids similar to that for balls? Is there a reflection principle for harmonic functions in higher dimensions similar to the Schwarz reflection principle in the plane? How far outside of their natural domains can solutions of the Dirichlet problem be extended? Where do the continued solutions become singular and why? This book invites graduate students and young analysts to explore these and many other intriguing questions that lead to beautiful results illustrating a nice interplay between parts of modern analysis and themes in “physical” mathematics of the nineteenth century. To make the book accessible to a wide audience including students, the authors do not assume expertise in the theory of holomorphic PDE, and most of the book is accessible to anyone familiar with multivariable calculus and some basics in complex analysis and differential equations.

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Page Count

226

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470437805

ISBN 13

9781470437800

Formulation Product Technology

By: Dmitry Yu. Murzin

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Formulation Product Technology

By: Dmitry Yu. Murzin

Formulation Product Technology focuses on materials chemistry and introduces industrial manufacturing technologies for different product types. Besides addressing the fundamentals and the corresponding unit operations, the author presents a full cycle of product development for the materials that are used in everyday live. Various performance and personal chemicals, such as paints, coatings, dyes, laundry detergents, glass and concrete, pesticides, diapers, skin care and hair care products, etc. are discussed starting from product selection and up to setup of manufacturing process. Additional new products discussed: dyes for textiles, decorative products, hand sanitizers, deodorants, pesticides. Easy-to-understand introduction to formulation product design. Covers all main product types of modern chemical industry.

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Page Count

354

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110798247

ISBN 13

9783110798241

Chemical Product Technology

By: Dmitry Yu. Murzin

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Chemical Product Technology

By: Dmitry Yu. Murzin

Chemical Product Technology focuses on materials chemistry and introduces industrial manufacturing technologies for different product types. The author presents a full cycle of product development for the materials that are used in everyday live, such as cosmetics, dyes, drugs, papers, textiles, agrochemicals, etc., starting from product selection and up to setup of manufacturing process.

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284

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110475650

ISBN 13

9783110475654

Extracting Knowledge From Time Series

An Introduction to Nonlinear Empirical Modeling

By: Boris P. Bezruchko,Dmitry A. Smirnov

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Extracting Knowledge From Time Series

An Introduction to Nonlinear Empirical Modeling

By: Boris P. Bezruchko,Dmitry A. Smirnov

Mathematical modelling is ubiquitous. Almost every book in exact science touches on mathematical models of a certain class of phenomena, on more or less speci?c approaches to construction and investigation of models, on their applications, etc. As many textbooks with similar titles, Part I of our book is devoted to general qu- tions of modelling. Part II re?ects our professional interests as physicists who spent much time to investigations in the ?eld of non-linear dynamics and mathematical modelling from discrete sequences of experimental measurements (time series). The latter direction of research is known for a long time as “system identi?cation” in the framework of mathematical statistics and automatic control theory. It has its roots in the problem of approximating experimental data points on a plane with a smooth curve. Currently, researchers aim at the description of complex behaviour (irregular, chaotic, non-stationary and noise-corrupted signals which are typical of real-world objects and phenomena) with relatively simple non-linear differential or difference model equations rather than with cumbersome explicit functions of time. In the second half of the twentieth century, it has become clear that such equations of a s- ?ciently low order can exhibit non-trivial solutions that promise suf?ciently simple modelling of complex processes; according to the concepts of non-linear dynamics, chaotic regimes can be demonstrated already by a third-order non-linear ordinary differential equation, while complex behaviour in a linear model can be induced either by random in?uence (noise) or by a very high order of equations.

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Page Count

416

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3642126014

ISBN 13

9783642126017

Cavitation and Associated Phenomena

By: Dmitry A. Biryukov,Denis N. Gerasimov,Eugeny I. Yurin

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Cavitation and Associated Phenomena

By: Dmitry A. Biryukov,Denis N. Gerasimov,Eugeny I. Yurin

Cavitation is a dangerous process which destroys objects in a fluid. Scientific description of this multifaceted phenomenon is based on almost every area of physics, and many interesting effects are connected with cavitation. The most intriguing of them is sonoluminescence – the light emitted from a cavitating fluid. This book presents a full-scale description of cavitation: from the basic thermodynamic principles to special phenomena associated with this complex process, from the dynamics of a single gas cavity to the catastrophic macroscopic manifestations, from the domestic observations to the nuances of X-ray spectroscopic research.

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Page Count

392

Publisher

CRC Press

Published Date

ISBN 10

100058738X

ISBN 13

9781000587388

Homotopical Topology

By: Anatoly Fomenko,Dmitry Fuchs

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Homotopical Topology

By: Anatoly Fomenko,Dmitry Fuchs

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Solve jigsaw puzzle

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Page Count

635

Publisher

Springer

Published Date

ISBN 10

3319234889

ISBN 13

9783319234885

Book's by Dmitry Fuchs

Homotopical Topology

Homotopical Topology

Photosynthesis: Solar Energy For Life

Photosynthesis: Solar Energy For Life

Algebraic Geometric Codes: Basic Notions

Algebraic Geometric Codes: Basic Notions

Organized Collapse: An Introduction to Discrete Morse Theory

Organized Collapse: An Introduction to Discrete Morse Theory

Hitler's Air Bridges

Hitler's Air Bridges

Surgical Approaches to Esophageal Disease, An Issue of Surgical Clinics

Surgical Approaches to Esophageal Disease, An Issue of Surgical Clinics

Linear Holomorphic Partial Differential Equations and Classical Potential Theory

Linear Holomorphic Partial Differential Equations and Classical Potential Theory

Formulation Product Technology

Formulation Product Technology

Chemical Product Technology

Chemical Product Technology

Extracting Knowledge From Time Series

Extracting Knowledge From Time Series

Cavitation and Associated Phenomena

Cavitation and Associated Phenomena

Homotopical Topology

Homotopical Topology

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