Download or read book Lectures on the Philosophy of Mathematics written by Joel David Hamkins and published by MIT Press. This book was released on 2021-03-09 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the philosophy of mathematics grounded in mathematics and motivated by mathematical inquiry and practice. In this book, Joel David Hamkins offers an introduction to the philosophy of mathematics that is grounded in mathematics and motivated by mathematical inquiry and practice. He treats philosophical issues as they arise organically in mathematics, discussing such topics as platonism, realism, logicism, structuralism, formalism, infinity, and intuitionism in mathematical contexts. He organizes the book by mathematical themes--numbers, rigor, geometry, proof, computability, incompleteness, and set theory--that give rise again and again to philosophical considerations.

Download or read book Advanced Calculus Revised Edition written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

Download or read book Extenics and Innovation Methods written by Wen Cai and published by CRC Press. This book was released on 2013-07-15 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Society forges ahead in the process of solving various contradictory problems and it is ceaselessly innovating. It is the desire of mankind to use computers and computing networks to help deal with contradictory problems and to conduct innovative activities. Using formal models to discuss object extension and the possibility of change, as well as the rules and methods for innovation, Extenics is applied to solving contradictory problems and has become the basic theory, method and instrument to achieve this goal. In the 30 years since the foundation of Extenics, researchers have built relatively complete theoretical systems —‘extension theory’, studied formal and modeling innovation methods —‘extension innovation methods’, and launched the applications in various fields such as information, design, automation and management etc. —‘extension engineering’. Extension theory, the extension innovation method and extension engineering jointly constitute the new discipline—Extenics. At the same time, the practical activities of engineering technology and management promote the integration of various innovation methods such as TRIZ and brainstorming etc. This book collects together, from scholars in various fields, the research achievements in Extenics and innovation methods, in order to facilitate and promote the development of Extenics and the various innovation theories and methods, as well as to improve its innovative capacity in academic and business circles.

Download or read book Database Management System written by RP Mahapatra and published by KHANNA PUBLISHING HOUSE. This book was released on with total page 551 pages. Available in PDF, EPUB and Kindle. Book excerpt: Easy-to-read writing style. Comprehensive coverage of all database topics. Bullet lists and tables. More detailed examples of database implementations. More SQL, including significant information on planned revisions to the language. Simple and easy explanation to complex topics like relational algebra, relational calculus, query processing and optimization. Covers topics on implementation issues like security, integrity, transaction management, concurrency control, backup and recovery etc. Latest advances in database technology.

Download or read book Calculus II written by Jerrold Marsden and published by Springer Science & Business Media. This book was released on 1998-01-09 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second of a three-volume work, this is the result of the authors'experience teaching calculus at Berkeley. The book covers techniques and applications of integration, infinite series, and differential equations, the whole time motivating the study of calculus using its applications. The authors include numerous solved problems, as well as extensive exercises at the end of each section. In addition, a separate student guide has been prepared.

Download or read book Engineering Mathematics A Formula Handbook written by N.B. Singh and published by N.B. Singh. This book was released on with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Engineering Mathematics: A Formula Handbook" serves as an invaluable tool for engineers, students, and professionals alike, offering a concise compilation of essential mathematical formulas and concepts relevant to engineering disciplines. Covering a wide array of topics including calculus, linear algebra, differential equations, and complex analysis, this handbook provides quick access to key formulas needed for solving engineering problems. With clear explanations and organized sections, this book is a must-have reference for anyone seeking to apply mathematical principles in engineering practice and academia.

Download or read book Mathematics in Computing written by Gerard O’Regan and published by Springer Nature. This book was released on 2020-01-10 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This illuminating textbook provides a concise review of the core concepts in mathematics essential to computer scientists. Emphasis is placed on the practical computing applications enabled by seemingly abstract mathematical ideas, presented within their historical context. The text spans a broad selection of key topics, ranging from the use of finite field theory to correct code and the role of number theory in cryptography, to the value of graph theory when modelling networks and the importance of formal methods for safety critical systems. This fully updated new edition has been expanded with a more comprehensive treatment of algorithms, logic, automata theory, model checking, software reliability and dependability, algebra, sequences and series, and mathematical induction. Topics and features: includes numerous pedagogical features, such as chapter-opening key topics, chapter introductions and summaries, review questions, and a glossary; describes the historical contributions of such prominent figures as Leibniz, Babbage, Boole, and von Neumann; introduces the fundamental mathematical concepts of sets, relations and functions, along with the basics of number theory, algebra, algorithms, and matrices; explores arithmetic and geometric sequences and series, mathematical induction and recursion, graph theory, computability and decidability, and automata theory; reviews the core issues of coding theory, language theory, software engineering, and software reliability, as well as formal methods and model checking; covers key topics on logic, from ancient Greek contributions to modern applications in AI, and discusses the nature of mathematical proof and theorem proving; presents a short introduction to probability and statistics, complex numbers and quaternions, and calculus. This engaging and easy-to-understand book will appeal to students of computer science wishing for an overview of the mathematics used in computing, and to mathematicians curious about how their subject is applied in the field of computer science. The book will also capture the interest of the motivated general reader.

Download or read book Windows on Teaching Math written by Katherine Klippert Merseth and published by Teachers College Press. This book was released on 2003-01-01 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: A practical hands-on guide to improving the teaching of mathematics. Provides a collection of cases that blend important mathematics content with the real complexities of school and classroom life.

Download or read book Database Management Systems written by Rajesh Narang and published by PHI Learning Pvt. Ltd.. This book was released on 2018-02-28 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contents of this second edition have been appropriately enhanced to serve the growing needs of the students pursuing undergraduate engineering courses in Computer Science, Information Technology, as well as postgraduate programmes in Computer Applications (MCA), MSc (IT) and MSc (Computer Science). The book covers the fundamental and theoretical concepts in an elaborate manner using SQL of leading RDBMS—Oracle, MS SQL Server and Sybase. This book is recommended in Guwahati University, Assam. Realizing the importance of RDBMS in all types of architectures and applications, both traditional and modern topics are included for the benefit of IT-savvy readers. A strong understanding of the relational database design is provided in chapters on Entity-Relationship, Relational, Hierarchical and Network Data Models, Normalization, Relational Algebra and Relational Calculus. The architecture of the legacy relational database R system, the hierarchical database IMS of IBM and the network data model DBTG are also given due importance to bring completeness and to show thematic interrelationships among them. Several chapters have been devoted to the latest database features and technologies such as Data Partitioning, Data Mirroring, Replication, High Availability, Security and Auditing. The architecture of Oracle, SQL of Oracle known as PL/SQL, SQL of both Sybase and MS SQL Server known as T-SQL have been covered. KEY FEATURES : Gives wide coverage to topics of network, hierarchical and relational data models of both traditional and generic modern databases. Discusses the concepts and methods of Data Partitioning, Data Mirroring and Replication required to build the centralized architecture of very large databases. Provides several examples, listings, exercises and solutions to selected exercises to stimulate and accelerate the learning process of the readers. Covers the concept of database mirroring and log shipping to demonstrate how to build disaster recovery solution through the use of database technology. Contents: Preface 1. Introduction 2. The Entity-Relationship Model 3. Data Models 4. Storage Structure 5. Relational Data Structure 6. Architecture of System R and Oracle 7. Normalization 8. Structured Query Language 9. T-SQL—Triggers and Dynamic Execution 10. Procedure Language—SQL 11. Cursor Management and Advanced PL/SQL 12. Relational Algebra and Relational Calculus 13. Concurrency Control and Automatic Recovery 14. Distributed Database and Replication 15. High Availability and RAID Technology 16. Security Features Built in RDBMS 17. Queries Optimization 18. Architecture of a Hierarchical DBMS 19. The Architecture of Network based DBTG System 20. Comparison between Different Data Models 21. Performance Improvement and Partitioning 22. Database Mirroring and Log Shipping for Disaster Recovery Bibliography Answers to Selected Exercises Index

Download or read book Language Memory and Thought written by John R. Anderson and published by Psychology Press. This book was released on 2013-05-13 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: Published in 1976, Language, Memory, and thought is a valuable contribution to the field of Cognitive Psychology. This book presents a theory about human cognitive functioning, a set of experiments testing that theory, and a review of some of the literature relevant to the theory. The theory is embodied in a computer simulation model called ACT.

Download or read book FST TCS 2002 Foundations of Software Technology and Theoretical Computer Science written by Manindra Agrawal and published by Springer Science & Business Media. This book was released on 2002-11-29 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 22nd Conference on Foundations of Software Technology and Theoretical Computer Science, FST TCS 2002, held in Kanpur, India in December 2002. The 26 revised full papers presented together with 5 invited contributions were carefully reviewed and selected from 108 submissions. A broad variety of topics from the theory of computing are addressed, from algorithmics and discrete mathematics as well as from logics and programming theory.

Download or read book Express Gazette journal written by and published by . This book was released on 1927 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematics for Life and Work A Comparative Perspective on Mathematics to Inform Upper Secondary Reform in England written by OECD and published by OECD Publishing. This book was released on 2024-11-05 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engagement and performance in mathematics at the upper secondary level have been the concern of successive governments in England. This report was commissioned as part of the country's policy reflections for transforming how maths is viewed and experienced in England. The report explores outcomes such as the share of students studying maths and performance across countries, and how education systems internationally deliver mathematics in upper secondary. It also examines factors shaping maths education, including the expectations set by curricula, student pathways, cultural perceptions, and the needs of the labour market and higher education.

Download or read book Logic Set theory and Philosophy of Mathematics written by John-Michael Kuczynski and published by John-Michael Kuczynski. This book was released on with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of papers contains original work in mathematical logic and in the philosophy of mathematics. It also contains unusually clear and precise discussions, both mathematical and philosophical, of the central concepts of arithmetic and analysis. The first chapter is a list of logical and set-theoretic laws, making it useful for students and instructors.

Download or read book Calculus Simplified written by Oscar E. Fernandez and published by Princeton University Press. This book was released on 2019-06-11 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible, streamlined, and user-friendly approach to calculus Calculus is a beautiful subject that most of us learn from professors, textbooks, or supplementary texts. Each of these resources has strengths but also weaknesses. In Calculus Simplified, Oscar Fernandez combines the strengths and omits the weaknesses, resulting in a “Goldilocks approach” to learning calculus: just the right level of detail, the right depth of insights, and the flexibility to customize your calculus adventure. Fernandez begins by offering an intuitive introduction to the three key ideas in calculus—limits, derivatives, and integrals. The mathematical details of each of these pillars of calculus are then covered in subsequent chapters, which are organized into mini-lessons on topics found in a college-level calculus course. Each mini-lesson focuses first on developing the intuition behind calculus and then on conceptual and computational mastery. Nearly 200 solved examples and more than 300 exercises allow for ample opportunities to practice calculus. And additional resources—including video tutorials and interactive graphs—are available on the book’s website. Calculus Simplified also gives you the option of personalizing your calculus journey. For example, you can learn all of calculus with zero knowledge of exponential, logarithmic, and trigonometric functions—these are discussed at the end of each mini-lesson. You can also opt for a more in-depth understanding of topics—chapter appendices provide additional insights and detail. Finally, an additional appendix explores more in-depth real-world applications of calculus. Learning calculus should be an exciting voyage, not a daunting task. Calculus Simplified gives you the freedom to choose your calculus experience, and the right support to help you conquer the subject with confidence. An accessible, intuitive introduction to first-semester calculus Nearly 200 solved problems and more than 300 exercises (all with answers) No prior knowledge of exponential, logarithmic, or trigonometric functions required Additional online resources—video tutorials and supplementary exercises—provided

Download or read book Knowledge Management in Fuzzy Databases written by Olga Pons and published by Physica. This book was released on 2013-11-11 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. When I was asked by the editors of this book to write a foreword, I was seized by panic. Obviously, neither I am an expert in Knowledge Representation in Fuzzy Databases nor I could have been beforehand unaware that the book's contributors would be some of the most outstanding researchers in the field. However, Amparo Vila's gentle insistence gradually broke down my initial resistance, and panic then gave way to worry. Which paving stones did I have at my disposal for making an entrance to the book? After thinking about it for some time, I concluded that it would be pretentious on my part to focus on the subjects which are dealt with directly in the contributions presented, and that it would instead be better to confine myself to making some general reflections on knowledge representation given by imprecise information using fuzzy sets; reflections which have been suggested to me by some words in the following articles such as: graded notions, fuzzy objects, uncertainty, fuzzy implications, fuzzy inference, empty intersection, etc.

Download or read book Encyclopaedia of Pure Mathematics written by and published by . This book was released on 1847 with total page 1142 pages. Available in PDF, EPUB and Kindle. Book excerpt: