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Author: Oded Goldreich Publisher: Springer Science & Business Media ISBN: 3662125218 Category : Mathematics Languages : en Pages : 192
Book Description
Cryptography is one of the most active areas in current mathematics research and applications. This book focuses on cryptography along with two related areas: the study of probabilistic proof systems, and the theory of computational pseudorandomness. Following a common theme that explores the interplay between randomness and computation, the important notions in each field are covered, as well as novel ideas and insights.
Author: Oded Goldreich Publisher: Springer Science & Business Media ISBN: 3662125218 Category : Mathematics Languages : en Pages : 192
Book Description
Cryptography is one of the most active areas in current mathematics research and applications. This book focuses on cryptography along with two related areas: the study of probabilistic proof systems, and the theory of computational pseudorandomness. Following a common theme that explores the interplay between randomness and computation, the important notions in each field are covered, as well as novel ideas and insights.
Author: Stephan Krenn Publisher: ISBN: 9783832532178 Category : Languages : en Pages : 0
Book Description
A zero-knowledge proof of knowledge allows one party to convince another party that it knows a secret piece of information without revealing anything about it. Such protocols are important building blocks for many interesting higher-level cryptographic applications, such as e-voting and e-cash systems, digital signature and identification schemes, or anonymous credential systems. Unfortunately, their high computational costs, as well as long and error-prone implementation cycles, are major hurdles on their way to real-world usage. This thesis contributes to overcoming these restrictions. On the practical side, we introduce a compiler which automatically translates natural specifications of zero-knowledge proofs into concrete implementations. In addition, it generates formal proofs that the generated protocols are indeed sound. On the theoretical side, we analyze inherent efficiency limitations of igma-protocols, proving the optimality of currently known protocols. Finally, we consider zero-knowledge proofs in the Universal Composability framework. By enabling UC-compliant proofs of existence for the first time, we are able to decrease the computational complexity of many practically relevant UC-secure zero-knowledge protocols to an acceptable level.
Author: Frederick Wooten Publisher: Academic Press ISBN: 1483220761 Category : Science Languages : en Pages : 273
Book Description
Optical Properties of Solids covers the important concepts of intrinsic optical properties and photoelectric emission. The book starts by providing an introduction to the fundamental optical spectra of solids. The text then discusses Maxwell's equations and the dielectric function; absorption and dispersion; and the theory of free-electron metals. The quantum mechanical theory of direct and indirect transitions between bands; the applications of dispersion relations; and the derivation of an expression for the dielectric function in the self-consistent field approximation are also encompassed. The book further tackles current-current correlations; the fluctuation-dissipation theorem; and the effect of surface plasmons on optical properties and photoemission. People involved in the study of the optical properties of solids will find the book invaluable.
Author: David S. Sholl Publisher: John Wiley & Sons ISBN: 1118211049 Category : Science Languages : en Pages : 252
Book Description
Demonstrates how anyone in math, science, and engineering can master DFT calculations Density functional theory (DFT) is one of the most frequently used computational tools for studying and predicting the properties of isolated molecules, bulk solids, and material interfaces, including surfaces. Although the theoretical underpinnings of DFT are quite complicated, this book demonstrates that the basic concepts underlying the calculations are simple enough to be understood by anyone with a background in chemistry, physics, engineering, or mathematics. The authors show how the widespread availability of powerful DFT codes makes it possible for students and researchers to apply this important computational technique to a broad range of fundamental and applied problems. Density Functional Theory: A Practical Introduction offers a concise, easy-to-follow introduction to the key concepts and practical applications of DFT, focusing on plane-wave DFT. The authors have many years of experience introducing DFT to students from a variety of backgrounds. The book therefore offers several features that have proven to be helpful in enabling students to master the subject, including: Problem sets in each chapter that give readers the opportunity to test their knowledge by performing their own calculations Worked examples that demonstrate how DFT calculations are used to solve real-world problems Further readings listed in each chapter enabling readers to investigate specific topics in greater depth This text is written at a level suitable for individuals from a variety of scientific, mathematical, and engineering backgrounds. No previous experience working with DFT calculations is needed.
Author: Judit Madarász Publisher: Springer Nature ISBN: 3030641872 Category : Philosophy Languages : en Pages : 517
Book Description
This book features more than 20 papers that celebrate the work of Hajnal Andréka and István Németi. It illustrates an interaction between developing and applying mathematical logic. The papers offer new results as well as surveys in areas influenced by these two outstanding researchers. They also provide details on the after-life of some of their initiatives. Computer science connects the papers in the first part of the book. The second part concentrates on algebraic logic. It features a range of papers that hint at the intricate many-way connections between logic, algebra, and geometry. The third part explores novel applications of logic in relativity theory, philosophy of logic, philosophy of physics and spacetime, and methodology of science. They include such exciting subjects as time travelling in emergent spacetime. The short autobiographies of Hajnal Andréka and István Németi at the end of the book describe an adventurous journey from electric engineering and Maxwell’s equations to a complex system of computer programs for designing Hungary’s electric power system, to exploring and contributing deep results to Tarskian algebraic logic as the deepest core theory of such questions, then on to applications of the results in such exciting new areas as relativity theory in order to rejuvenate logic itself.
Author: John Stillwell Publisher: Springer Science & Business Media ISBN: 0387255303 Category : Mathematics Languages : en Pages : 240
Book Description
This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises
Author: Peter YU Publisher: Springer Science & Business Media ISBN: 3540264752 Category : Technology & Engineering Languages : en Pages : 651
Book Description
Excellent bridge between general solid-state physics textbook and research articles packed with providing detailed explanations of the electronic, vibrational, transport, and optical properties of semiconductors "The most striking feature of the book is its modern outlook ... provides a wonderful foundation. The most wonderful feature is its efficient style of exposition ... an excellent book." Physics Today "Presents the theoretical derivations carefully and in detail and gives thorough discussions of the experimental results it presents. This makes it an excellent textbook both for learners and for more experienced researchers wishing to check facts. I have enjoyed reading it and strongly recommend it as a text for anyone working with semiconductors ... I know of no better text ... I am sure most semiconductor physicists will find this book useful and I recommend it to them." Contemporary Physics Offers much new material: an extensive appendix about the important and by now well-established, deep center known as the DX center, additional problems and the solutions to over fifty of the problems at the end of the various chapters.
Author: Miller Publisher: Author House ISBN: 1456720066 Category : Biography & Autobiography Languages : en Pages : 777
Book Description
The introduction was written 62 years ago. The Great Beyond is my age from 17 to 80. This book reveals what can be done. It answers the question, Who am I? The Miller genealogy is traced to Adam and Eve. The Miller Code of Ethics, Curriculum Vitae, and a Broad Mentality are defined. Famous people travel. I have circled the earth seven times, traveled to Japan 40 times, to Pearl Harbor 25 times, and I have driven thousands of miles in Europe, New Zealand, and Australia. Study the worlds cultures. Learn the motto God gave us, Faith, Hope, and Love. My life is working and learning. Read and learn without working. Plan your life NOW. Thirty years in advance I planned a sabbatical every ten years. I had three planned concurrent careers: Academic Neurosurgery, United States Naval Reserve, and Founder of a Neurosciences Center with an academic interchange with 25 countries. After seven days a week for 40 years in neurosurgery, I feared retirement. At age 70 I retired to the unknown. I elected a new life. In our 34-foot Sea Ray we traveled to all 36 yacht clubs in the Florida Council, from Destin, the Keys and to Jacksonville. There is much time on a boat. I memorized the Teachings on the Mount. We returned to Apollo Beach, Florida. I became busy and coined a new term, Retirement Career. (Career as go at top speed) I authored seven books, am on the voluntary faculty of the medical school, deacon and teacher at church, and continued Permissive Orders for the Navy. Recently I became the first 80-year-old drilling reservist. We have a pool man and yard man. (Our lot is covered in rocks and palm trees.) My responsibility is to keep the boat dock mosquito free by filling the Mosquito Magnet with propane, service the jet boat, and keep the garage in order. Read on and learn what one can do.
Author: Oded Goldreich
Author: Oded Goldreich
Author: Stephan Krenn
Author: Mark Wilde
Author: Frederick Wooten
Author: David S. Sholl
Author: Judit Madarász
Author: John Stillwell
Author: 
Author: Peter YU
Author: Miller