Mathematics++

Mathematics++ PDF Author: Ida Kantor
Publisher: American Mathematical Soc.
ISBN: 1470422611
Category : Mathematics
Languages : en
Pages : 359

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Book Description
Mathematics++ is a concise introduction to six selected areas of 20th century mathematics providing numerous modern mathematical tools used in contemporary research in computer science, engineering, and other fields. The areas are: measure theory, high-dimensional geometry, Fourier analysis, representations of groups, multivariate polynomials, and topology. For each of the areas, the authors introduce basic notions, examples, and results. The presentation is clear and accessible, stressing intuitive understanding, and it includes carefully selected exercises as an integral part. Theory is complemented by applications--some quite surprising--in theoretical computer science and discrete mathematics. The chapters are independent of one another and can be studied in any order. It is assumed that the reader has gone through the basic mathematics courses. Although the book was conceived while the authors were teaching Ph.D. students in theoretical computer science and discrete mathematics, it will be useful for a much wider audience, such as mathematicians specializing in other areas, mathematics students deciding what specialization to pursue, or experts in engineering or other fields.

Selected Topics in Chemistry

Selected Topics in Chemistry PDF Author: Suresh Ranganathan
Publisher: Lulu.com
ISBN: 1329128753
Category : Education
Languages : en
Pages : 200

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Book Description
Chemistry is a branch of science which deals with the preparation, properties, structures and composition of substances. The prominence of chemistry is well known. Knowledge of chemistry will help to understand the natural processes, geochemical concepts, biochemical reactions, and environment. Developments in chemistry lead the discovery of immense number of chemical compounds with great applications. Broadly, chemistry can be classified into three braches viz., inorganic, organic and physical chemistry. Inorganic chemistry deals the preparation, properties and structure of all elements and their compounds except carbon and its compounds. Organic chemistry studies the synthesis, structure and properties of organic compounds. Physical chemistry concerned the physical property of chemical compounds.

Selected Topics in Algebraic Geometry

Selected Topics in Algebraic Geometry PDF Author: National Research Council (U.S.). Committee on Rational Transformations
Publisher: American Mathematical Soc.
ISBN: 9780828401890
Category : Mathematics
Languages : en
Pages : 518

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Book Description
This book resulted from two reports (published in 1928 and 1932) of the Committee on Rational Transformations, established by the National Research Council. The purpose of the reports was to give a comprehensive survey of the literature on the subject. Each chapter is regarded as a separate unit that can be read independently.

Selected Topics in Philosophy

Selected Topics in Philosophy PDF Author: John L. Bowman
Publisher: iUniverse
ISBN: 0595225489
Category : Juvenile Nonfiction
Languages : en
Pages : 176

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Book Description
Selected Topics in Philosophy is an eclectic mix of various topics in philosophy including the nature of language, epistemology, ethics, the nature of religion and literature, metaphysics, existentialism and transcendentalism. Some particularly interesting issues discussed in the book include George Berkeley and John Locke's theories on the difference between language and reality (most confusion and much conflict in the world seems to be because we use words for things that do not exist) Immanuel Kant's transcendental idealism and in particular his discussion of antinomies (we are not passive tabula rasas on which the external world writes but rather active minds organizing and making sense of a random and incomprehensible world) Jean Paul Sartre's existential admonition that we must accept the world with no telos (which naturally leads us to the truism that if we wish life to have meaning we must look to ourselves to create it) the question of whether there are certain timeless, objective standards by which we can judge human actions (if we cannot, and ethics is subjective, how do we distinguish between good and evil?) what are the limits to our knowledge (are there certain immutable truths which we can discover which are built like a pyramid with a broad foundation and each layer resting on the one below, or is all knowledge simply how well things cohere like a raft on the open sea floating around with no permanent tether)

Selected Topics in the Chemistry of Natural Products

Selected Topics in the Chemistry of Natural Products PDF Author: Raphael Ikan
Publisher: World Scientific
ISBN: 9812705694
Category : Science
Languages : en
Pages : 625

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Book Description
A New York Times Notable Book for 2011 A Globe and Mail Best Books of the Year 2011 Title A Kirkus Reviews Best Nonfiction of 2011 title Virtually all human societies were once organized tribally, yet over time most developed new political institutions which included a central state that could keep the peace and uniform laws that applied to all citizens. Some went on to create governments that were accountable to their constituents. We take these institutions for granted, but they are absent or are unable to perform in many of today’s developing countries—with often disastrous consequences for the rest of the world. Francis Fukuyama, author of the bestselling The End of History and the Last Man and one of our most important political thinkers, provides a sweeping account of how today’s basic political institutions developed. The first of a major two-volume work, The Origins of Political Order begins with politics among our primate ancestors and follows the story through the emergence of tribal societies, the growth of the first modern state in China, the beginning of the rule of law in India and the Middle East, and the development of political accountability in Europe up until the eve of the French Revolution. Drawing on a vast body of knowledge—history, evolutionary biology, archaeology, and economics—Fukuyama has produced a brilliant, provocative work that offers fresh insights on the origins of democratic societies and raises essential questions about the nature of politics and its discontents.

Selected Topics in Statistical Inference

Selected Topics in Statistical Inference PDF Author: Manisha Pal
Publisher: Springer Nature
ISBN: 9819725925
Category :
Languages : en
Pages : 153

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Book Description


Hiding Data - Selected Topics

Hiding Data - Selected Topics PDF Author: Rudolf Ahlswede
Publisher: Springer
ISBN: 3319315153
Category : Mathematics
Languages : en
Pages : 367

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Book Description
Devoted to information security, this volume begins with a short course on cryptography, mainly based on lectures given by Rudolf Ahlswede at the University of Bielefeld in the mid 1990s. It was the second of his cycle of lectures on information theory which opened with an introductory course on basic coding theorems, as covered in Volume 1 of this series. In this third volume, Shannon’s historical work on secrecy systems is detailed, followed by an introduction to an information-theoretic model of wiretap channels, and such important concepts as homophonic coding and authentication. Once the theoretical arguments have been presented, comprehensive technical details of AES are given. Furthermore, a short introduction to the history of public-key cryptology, RSA and El Gamal cryptosystems is provided, followed by a look at the basic theory of elliptic curves, and algorithms for efficient addition in elliptic curves. Lastly, the important topic of “oblivious transfer” is discussed, which is strongly connected to the privacy problem in communication. Today, the importance of this problem is rapidly increasing, and further research and practical realizations are greatly anticipated. This is the third of several volumes serving as the collected documentation of Rudolf Ahlswede’s lectures on information theory. Each volume includes comments from an invited well-known expert. In the supplement to the present volume, Rüdiger Reischuk contributes his insights. Classical information processing concerns the main tasks of gaining knowledge and the storage, transmission and hiding of data. The first task is the prime goal of Statistics. For transmission and hiding data, Shannon developed an impressive mathematical theory called Information Theory, which he based on probabilistic models. The theory largely involves the concept of codes with small error probabilities in spite of noise in the transmission, which is modeled by channels. The lectures presented in this work are suitable for graduate students in Mathematics, and also for those working in Theoretical Computer Science, Physics, and Electrical Engineering with a background in basic Mathematics. The lectures can be used as the basis for courses or to supplement courses in many ways. Ph.D. students will also find research problems, often with conjectures, that offer potential subjects for a thesis. More advanced researchers may find questions which form the basis of entire research programs.

Selected Topics in Inorganic Chemistry - Part II

Selected Topics in Inorganic Chemistry - Part II PDF Author: Dr. A. AHMED RAZA & Dr. SEENU RAVI
Publisher: Shashwat Publication
ISBN: 9360874280
Category : Computers
Languages : en
Pages : 410

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Book Description
This book is for the postgraduate students of chemistry aspiring to crack competitive examinations such as CSIR-NET, GATE, SLET/SET and PhD entrance examinations. Presently, admission to PhD programs in premier institutions like IITs, NITs, CSIR laboratories, central universities and state universities is based on either NET/GATE certificate or PhD entrance examinations. Further, the minimum eligibility criteria laid by UGC for the direct recruitment of Assistant Professors in the higher educational institutions is a postgraduate degree with NET/SLET/SET certificate. Thus, the students are bound to pass these examinations to pursue a bright career either in research or in academic teaching. The cut off for qualifying these exams is 40 to 50%. However, the qualifying percentage of the candidates appearing for these examinations is around 5% only. Therefore, an attempt has been made by authors to develop study material pertaining to the syllabus of these exams along with the solved problems from the previous year question papers which will guide the students to qualify easily.

Selected Topics in Superconductivity

Selected Topics in Superconductivity PDF Author: L. C. Gupta
Publisher: World Scientific
ISBN: 9789810212018
Category : Technology & Engineering
Languages : en
Pages : 684

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Book Description
Selected Topics in Superconductivity, reflects the high level of activity in the discovery of high-Tc superconductivity. Out of the 19 articles that it has, a fairly good number of them discuss several important and fundamental aspects of the high-Tc superconductivity. Some of the issues related to the phenomenon of superconductivity in general are discussed in a few of the manuscripts. The remaining articles deal with superconductivity in unconventional and highly correlated metals

Selected Topics on Polynomials

Selected Topics on Polynomials PDF Author: Andrzej Schinzel
Publisher:
ISBN: 9780472751945
Category :
Languages : en
Pages : 0

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Book Description
Complete proofs of both new results and original work on polynomials and Diophantine equations are presented here for the first time in book form. Although the results are technical, they will be of interest to algebraists and those interested in algebraic number theory.