Foundations of Science Mathematics

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Publisher : OUP Oxford
ISBN 13 : 9780198504283
Total Pages : 98 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Foundations of Science Mathematics by : Deviderjit Singh Sivia

Download or read book Foundations of Science Mathematics written by Deviderjit Singh Sivia and published by OUP Oxford. This book was released on 1999-06-24 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text spans a large range of mathematics, from basic algebra to calculus and Fourier transforms. Its tutorial style bridges the gap between school and university while its conciseness provides a useful reference for the professional.

Foundations of Science Mathematics OCP 2e

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Publisher :
ISBN 13 : 0198797540
Total Pages : 198 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis Foundations of Science Mathematics OCP 2e by : Devinder Sivia

Download or read book Foundations of Science Mathematics OCP 2e written by Devinder Sivia and published by . This book was released on 2020-11-03 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Science Mathematics provides a clear, concise and accessible introduction to the maths skills required to be successful in your study of science subjects, alongside over 90 problems and worked solutions.

The Logical Foundations of Mathematics

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Publisher : Elsevier
ISBN 13 : 1483189635
Total Pages : 331 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis The Logical Foundations of Mathematics by : William S. Hatcher

Download or read book The Logical Foundations of Mathematics written by William S. Hatcher and published by Elsevier. This book was released on 2014-05-09 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Logical Foundations of Mathematics offers a study of the foundations of mathematics, stressing comparisons between and critical analyses of the major non-constructive foundational systems. The position of constructivism within the spectrum of foundational philosophies is discussed, along with the exact relationship between topos theory and set theory. Comprised of eight chapters, this book begins with an introduction to first-order logic. In particular, two complete systems of axioms and rules for the first-order predicate calculus are given, one for efficiency in proving metatheorems, and the other, in a "natural deduction" style, for presenting detailed formal proofs. A somewhat novel feature of this framework is a full semantic and syntactic treatment of variable-binding term operators as primitive symbols of logic. Subsequent chapters focus on the origin of modern foundational studies; Gottlob Frege's formal system intended to serve as a foundation for mathematics and its paradoxes; the theory of types; and the Zermelo-Fraenkel set theory. David Hilbert's program and Kurt Gödel's incompleteness theorems are also examined, along with the foundational systems of W. V. Quine and the relevance of categorical algebra for foundations. This monograph will be of interest to students, teachers, practitioners, and researchers in mathematics.

Mathematical Foundations of Computer Science

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Publisher : CRC Press
ISBN 13 : 1000702715
Total Pages : 268 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis Mathematical Foundations of Computer Science by : Bhavanari Satyanarayana

Download or read book Mathematical Foundations of Computer Science written by Bhavanari Satyanarayana and published by CRC Press. This book was released on 2019-08-29 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Please note: Taylor & Francis does not sell or distribute the Hardback in India, Pakistan, Nepal, Bhutan, Bangladesh and Sri Lanka

Concrete Mathematics

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Publisher : Addison-Wesley Professional
ISBN 13 : 0134389980
Total Pages : 811 pages
Book Rating : 4.1/5 (343 download)

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Book Synopsis Concrete Mathematics by : Ronald L. Graham

Download or read book Concrete Mathematics written by Ronald L. Graham and published by Addison-Wesley Professional. This book was released on 1994-02-28 with total page 811 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: Sums Recurrences Integer functions Elementary number theory Binomial coefficients Generating functions Discrete probability Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.

The Foundations of Science: Science and Hypothesis, The Value of Science, Science and Method

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Author :
Publisher : DigiCat
ISBN 13 :
Total Pages : 556 pages
Book Rating : 4.8/5 (596 download)

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Book Synopsis The Foundations of Science: Science and Hypothesis, The Value of Science, Science and Method by : Henri Poincaré

Download or read book The Foundations of Science: Science and Hypothesis, The Value of Science, Science and Method written by Henri Poincaré and published by DigiCat. This book was released on 2022-08-01 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: DigiCat Publishing presents to you this special edition of "The Foundations of Science: Science and Hypothesis, The Value of Science, Science and Method" by Henri Poincaré. DigiCat Publishing considers every written word to be a legacy of humankind. Every DigiCat book has been carefully reproduced for republishing in a new modern format. The books are available in print, as well as ebooks. DigiCat hopes you will treat this work with the acknowledgment and passion it deserves as a classic of world literature.

Mathematical Foundations of Data Science Using R

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110796066
Total Pages : 424 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Mathematical Foundations of Data Science Using R by : Frank Emmert-Streib

Download or read book Mathematical Foundations of Data Science Using R written by Frank Emmert-Streib and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-10-24 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the book is to help students become data scientists. Since this requires a series of courses over a considerable period of time, the book intends to accompany students from the beginning to an advanced understanding of the knowledge and skills that define a modern data scientist. The book presents a comprehensive overview of the mathematical foundations of the programming language R and of its applications to data science.

Mathematical Foundations of Computer Science

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Publisher : Springer Science & Business Media
ISBN 13 : 1461230861
Total Pages : 433 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mathematical Foundations of Computer Science by : Peter A. Fejer

Download or read book Mathematical Foundations of Computer Science written by Peter A. Fejer and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Foundations of Computer Science, Volume I is the first of two volumes presenting topics from mathematics (mostly discrete mathematics) which have proven relevant and useful to computer science. This volume treats basic topics, mostly of a set-theoretical nature (sets, functions and relations, partially ordered sets, induction, enumerability, and diagonalization) and illustrates the usefulness of mathematical ideas by presenting applications to computer science. Readers will find useful applications in algorithms, databases, semantics of programming languages, formal languages, theory of computation, and program verification. The material is treated in a straightforward, systematic, and rigorous manner. The volume is organized by mathematical area, making the material easily accessible to the upper-undergraduate students in mathematics as well as in computer science and each chapter contains a large number of exercises. The volume can be used as a textbook, but it will also be useful to researchers and professionals who want a thorough presentation of the mathematical tools they need in a single source. In addition, the book can be used effectively as supplementary reading material in computer science courses, particularly those courses which involve the semantics of programming languages, formal languages and automata, and logic programming.

The Foundations of Mathematics

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Publisher : Oxford University Press, USA
ISBN 13 : 019870643X
Total Pages : 409 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis The Foundations of Mathematics by : Ian Stewart

Download or read book The Foundations of Mathematics written by Ian Stewart and published by Oxford University Press, USA. This book was released on 2015 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: The transition from school mathematics to university mathematics is seldom straightforward. Students are faced with a disconnect between the algorithmic and informal attitude to mathematics at school, versus a new emphasis on proof, based on logic, and a more abstract development of general concepts, based on set theory. The authors have many years' experience of the potential difficulties involved, through teaching first-year undergraduates and researching the ways in which students and mathematicians think. The book explains the motivation behind abstract foundational material based on students' experiences of school mathematics, and explicitly suggests ways students can make sense of formal ideas. This second edition takes a significant step forward by not only making the transition from intuitive to formal methods, but also by reversing the process- using structure theorems to prove that formal systems have visual and symbolic interpretations that enhance mathematical thinking. This is exemplified by a new chapter on the theory of groups. While the first edition extended counting to infinite cardinal numbers, the second also extends the real numbers rigorously to larger ordered fields. This links intuitive ideas in calculus to the formal epsilon-delta methods of analysis. The approach here is not the conventional one of 'nonstandard analysis', but a simpler, graphically based treatment which makes the notion of an infinitesimal natural and straightforward. This allows a further vision of the wider world of mathematical thinking in which formal definitions and proof lead to amazing new ways of defining, proving, visualising and symbolising mathematics beyond previous expectations.

Foundations of Logic and Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 146120125X
Total Pages : 425 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Foundations of Logic and Mathematics by : Yves Nievergelt

Download or read book Foundations of Logic and Mathematics written by Yves Nievergelt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This modern introduction to the foundations of logic and mathematics not only takes theory into account, but also treats in some detail applications that have a substantial impact on everyday life (loans and mortgages, bar codes, public-key cryptography). A first college-level introduction to logic, proofs, sets, number theory, and graph theory, and an excellent self-study reference and resource for instructors.

Mathematical Foundations for Data Analysis

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Publisher : Springer Nature
ISBN 13 : 3030623416
Total Pages : 299 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Mathematical Foundations for Data Analysis by : Jeff M. Phillips

Download or read book Mathematical Foundations for Data Analysis written by Jeff M. Phillips and published by Springer Nature. This book was released on 2021-03-29 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook, suitable for an early undergraduate up to a graduate course, provides an overview of many basic principles and techniques needed for modern data analysis. In particular, this book was designed and written as preparation for students planning to take rigorous Machine Learning and Data Mining courses. It introduces key conceptual tools necessary for data analysis, including concentration of measure and PAC bounds, cross validation, gradient descent, and principal component analysis. It also surveys basic techniques in supervised (regression and classification) and unsupervised learning (dimensionality reduction and clustering) through an accessible, simplified presentation. Students are recommended to have some background in calculus, probability, and linear algebra. Some familiarity with programming and algorithms is useful to understand advanced topics on computational techniques.

The Foundations of Science

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Publisher :
ISBN 13 :
Total Pages : 590 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis The Foundations of Science by : Henri Poincaré

Download or read book The Foundations of Science written by Henri Poincaré and published by . This book was released on 1921 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Kurt Gödel and the Foundations of Mathematics

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Publisher : Cambridge University Press
ISBN 13 : 1139498436
Total Pages : 541 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Kurt Gödel and the Foundations of Mathematics by : Matthias Baaz

Download or read book Kurt Gödel and the Foundations of Mathematics written by Matthias Baaz and published by Cambridge University Press. This book was released on 2011-06-06 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume commemorates the life, work and foundational views of Kurt Gödel (1906–78), most famous for his hallmark works on the completeness of first-order logic, the incompleteness of number theory, and the consistency - with the other widely accepted axioms of set theory - of the axiom of choice and of the generalized continuum hypothesis. It explores current research, advances and ideas for future directions not only in the foundations of mathematics and logic, but also in the fields of computer science, artificial intelligence, physics, cosmology, philosophy, theology and the history of science. The discussion is supplemented by personal reflections from several scholars who knew Gödel personally, providing some interesting insights into his life. By putting his ideas and life's work into the context of current thinking and perceptions, this book will extend the impact of Gödel's fundamental work in mathematics, logic, philosophy and other disciplines for future generations of researchers.

The Fall of Man and the Foundations of Science

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Publisher : Cambridge University Press
ISBN 13 : 0521875595
Total Pages : 34 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis The Fall of Man and the Foundations of Science by : Peter Harrison

Download or read book The Fall of Man and the Foundations of Science written by Peter Harrison and published by Cambridge University Press. This book was released on 2007-12-20 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: See:

Foundations of Science Mathematics

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Publisher :
ISBN 13 : 9780191848766
Total Pages : 93 pages
Book Rating : 4.8/5 (487 download)

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Book Synopsis Foundations of Science Mathematics by : D. S. Sivia

Download or read book Foundations of Science Mathematics written by D. S. Sivia and published by . This book was released on 2007 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors cover a large range of topics, from basic arithmetic and algebra to calculus and Fourier transforms, bridging the gap between school and university. The informal tutorial style should make it accessible to the novice.

Discipline and Experience

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Publisher : University of Chicago Press
ISBN 13 : 0226139441
Total Pages : 306 pages
Book Rating : 4.2/5 (261 download)

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Book Synopsis Discipline and Experience by : Peter Dear

Download or read book Discipline and Experience written by Peter Dear and published by University of Chicago Press. This book was released on 1995-11-25 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the Scientific Revolution has long been regarded as the beginning of modern science, there has been little consensus about its true character. While the application of mathematics to the study of the natural world has always been recognized as an important factor, the role of experiment has been less clearly understood. Peter Dear investigates the nature of the change that occurred during this period, focusing particular attention on evolving notions of experience and how these developed into the experimental work that is at the center of modern science. He examines seventeenth-century mathematical sciences—astronomy, optics, and mechanics—not as abstract ideas, but as vital enterprises that involved practices related to both experience and experiment. Dear illuminates how mathematicians and natural philosophers of the period—Mersenne, Descartes, Pascal, Barrow, Newton, Boyle, and the Jesuits—used experience in their argumentation, and how and why these approaches changed over the course of a century. Drawing on mathematical texts and works of natural philosophy from all over Europe, he describes a process of change that was gradual, halting, sometimes contradictory—far from the sharp break with intellectual tradition implied by the term "revolution."

Maths for Science

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Publisher : OUP Oxford
ISBN 13 : 9780199644964
Total Pages : 0 pages
Book Rating : 4.6/5 (449 download)

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Book Synopsis Maths for Science by : Sally Jordan

Download or read book Maths for Science written by Sally Jordan and published by OUP Oxford. This book was released on 2012-09-06 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maths for Science overturns the misconception that maths is a daunting, theory-filled subject by providing a confidence-boosting overview of essential mathematical skills and techniques. Written in a clear, straightforward style, with examples and practice problems throughout, it is the ideal guide for all science students.