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| Author | : Deviderjit Singh Sivia |
| Publisher | : OUP Oxford |
| Total Pages | : 98 |
| Release | : 1999-06-24 |
| Genre | : 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 | : |
| Total Pages | : 198 |
| Release | : 2020-11-03 |
| Genre | : |
| 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 |
| Total Pages | : 331 |
| Release | : 2014-05-09 |
| Genre | : 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 | : Yves Nievergelt |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 425 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 146120125X |
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.
| Author | : Henri Poincaré |
| Publisher | : DigiCat |
| Total Pages | : 556 |
| Release | : 2022-08-01 |
| Genre | : 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 | : L. S. Pontryagin |
| Publisher | : Courier Corporation |
| Total Pages | : 112 |
| Release | : 2015-05-20 |
| Genre | : Mathematics |
| ISBN | : 0486406857 |
Concise, rigorous introduction to homology theory features applications to dimension theory and fixed-point theorems. Lucid coverage of the field includes examinations of complexes and their Betti groups, invariance of the Betti groups, and continuous mappings and fixed points. Proofs are presented in a complete and careful manner. A beneficial text for a graduate-level course, "this little book is an extremely valuable addition to the literature of algebraic topology." — The Mathematical Gazette.
| Author | : Peter Harrison |
| Publisher | : Cambridge University Press |
| Total Pages | : 34 |
| Release | : 2007-12-20 |
| Genre | : History |
| ISBN | : 0521875595 |
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| Author | : Matthias Baaz |
| Publisher | : Cambridge University Press |
| Total Pages | : 541 |
| Release | : 2011-06-06 |
| Genre | : Mathematics |
| ISBN | : 1139498436 |
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.
| Author | : D. S. Sivia |
| Publisher | : |
| Total Pages | : 93 |
| Release | : 2007 |
| Genre | : 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.
| Author | : Edward A. Bender |
| Publisher | : Courier Corporation |
| Total Pages | : 789 |
| Release | : 2013-01-18 |
| Genre | : 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.
