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Author : Deviderjit Singh Sivia
Publisher : OUP Oxford
Page : 98 pages
File Size : 16,12 MB
Release : 1999-06-24
Category : Mathematics
ISBN : 9780198504283
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.
Author : Devinder Sivia
Publisher :
Page : 198 pages
File Size : 12,76 MB
Release : 2020-11-03
Category :
ISBN : 0198797540
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.
Author : William S. Hatcher
Publisher : Elsevier
Page : 331 pages
File Size : 22,28 MB
Release : 2014-05-09
Category : Mathematics
ISBN : 1483189635
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.
Author : Ronald L. Graham
Publisher : Addison-Wesley Professional
Page : 811 pages
File Size : 29,15 MB
Release : 1994-02-28
Category : Computers
ISBN : 0134389980
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.
Author : Frank Emmert-Streib
Publisher : Walter de Gruyter GmbH & Co KG
Page : 444 pages
File Size : 35,57 MB
Release : 2022-10-24
Category : Computers
ISBN : 3110796171
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.
Author : Henri Poincaré
Publisher : DigiCat
Page : 556 pages
File Size : 33,74 MB
Release : 2022-08-01
Category : Philosophy
ISBN :
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.
Author : Peter A. Fejer
Publisher : Springer Science & Business Media
Page : 433 pages
File Size : 44,50 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461230861
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.
Author : Edward A. Bender
Publisher : Courier Corporation
Page : 789 pages
File Size : 17,93 MB
Release : 2013-01-18
Category : Mathematics
ISBN : 0486151506
This introduction to combinatorics, the foundation of the interaction between computer science and mathematics, is suitable for upper-level undergraduates and graduate students in engineering, science, and mathematics. The four-part treatment begins with a section on counting and listing that covers basic counting, functions, decision trees, and sieving methods. The following section addresses fundamental concepts in graph theory and a sampler of graph topics. The third part examines a variety of applications relevant to computer science and mathematics, including induction and recursion, sorting theory, and rooted plane trees. The final section, on generating functions, offers students a powerful tool for studying counting problems. Numerous exercises appear throughout the text, along with notes and references. The text concludes with solutions to odd-numbered exercises and to all appendix exercises.
Author : Henri Poincaré
Publisher :
Page : 590 pages
File Size : 40,92 MB
Release : 1921
Category : Mathematics
ISBN :
Author : D. S. Sivia
Publisher :
Page : 93 pages
File Size : 13,32 MB
Release : 2007
Category : Mathematics
ISBN : 9780191848766
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.