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Paul Carus The Foundations of Mathematics

In this brief treatise, Carus traces the roots of his belief in the philosophical basis for mathematics and analyzes that basis after a historical overview of Euclid and his successors. He then examines his base argument and proceeds to a study of different geometrical systems, all pulled together in his epilogue, which examines matter, mathematics, and, ultimately, the nature of God.

1164 рублей

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Kenneth Kunen The Foundations of Mathematics

Mathematical logic grew out of philosophical questions regarding the foundations of mathematics, but logic has now outgrown its philosophical roots, and has become an integral part of mathematics in general.This book is designed for students who plan to specialize in logic, as wellas for those who are interested in the applications of logic to other areas of mathematics. Used as a text, it could form the basis of a beginninggraduate-level course.There are three main chapters:Set Theory, Model Theory, and Recursion Theory.The Set Theory chapter describes the set-theoretic foundations of all of mathematics, based on the ZFC axioms.It also covers technical results about the Axiom of Choice, well-orderings, and the theory of uncountable cardinals.The Model Theory chapter discusses predicate logic and formal proofs, and covers the Completeness, Compactness, and Löwenheim-Skolem Theorems,elementary submodels, model completeness, and applications to algebra.This chapter also continues the foundational issues begun in the set theory chapter.Mathematics can now be viewed as formal proofs from ZFC.Also, model theory leads to models of set theory.This includes a discussion of absoluteness, and an analysis of models such as H(κ) and R(γ).The Recursion Theory chapter develops some basic facts about computable functions, and uses them to prove a number of results of foundational importance; in particular, Church's theorem on the undecidability of logical consequence, the incompleteness...

3164 рублей

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Vladimir Lepetic Principles of Mathematics. A Primer

Presents a uniquely balanced approach that bridges introductory and advanced topics in modern mathematics An accessible treatment of the fundamentals of modern mathematics, Principles of Mathematics: A Primer provides a unique approach to introductory andadvanced mathematical topics. The book features six main subjects, whichcan be studied independently or in conjunction with each other including: settheory; mathematical logic; proof theory; group theory; theory of functions; andlinear algebra. The author begins with comprehensive coverage of the necessary building blocks in mathematics and emphasizes the need to think abstractly and develop an appreciation for mathematical thinking. Maintaining a useful balance of introductory coverage and mathematical rigor, Principles of Mathematics: A Primer features: Detailed explanations of important theorems and their applications Hundreds of completely solved problems throughout each chapter Numerous exercises at the end of each chapter to encourage further exploration Discussions of interesting and provocative issues that spark readers’ curiosity and facilitate a better understanding and appreciation of the field of mathematics Principles of Mathematics: A Primer is an ideal textbook for upper-undergraduate courses in the foundations of mathematics and mathematical logic as well as for graduate-level courses related to physics, engineering, and computer science. The book is also a useful reference for readers interested in pursuing careers in mathematics and the sciences. Vladimir Lepetic, PhD, is Professor in the Department of Mathematical Sciences at DePaul University. His research interests include mathematical physics, set theory, foundations of mathematics, and the philosophy of mathematics.

10372.01 рублей

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OLE Skovsmose Critique as Uncertainty

A volume in the series The Montana Mathematics Enthusiast: Monograph Seriesin Mathematics Education. Series Editor: Bharath Sriraman, The University of MontanaThe title of the book is Critique as Uncertainty. Thus Ole Skovsmose seesuncertainty as an important feature of any critical approach. He does not assumethe existence of any blue prints for social and political improvements, nor thatcertain theoretical structures can provide solid foundations for a criticalactivities. For him critique is an open and uncertain activity. This also applies tocritical mathematics education.Critique as Uncertainty includes papers Ole Skovsmose already has published aswell as some newly written chapters. The book addresses issues about: landscapes of investigations, students'foregrounds, mathematics education and democracy, mathematics and power. Finally it expresses concerns of acritical mathematics education.

6052 рублей

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Lere O. Shakunle Transfigural Mathematics

This book, as the title implies, is an introduction to Transfigural Mathematics. It covers the philosophical foundations of transfigural mathematics which involves amongst others, the exploration of what it means for one to be a flow in the other. This done, the book goes into the arithmetic, algebra, logic, and geometry, to mention a few of the disciplines of transfigural mathematics, of transfigural mathematics. In addition to opening the floodgate of curiousity, the numbers of transfigural mathematics show the richness of the fluidity of language and the challenges to creativity that is posed by the ambiguity of language itself. Right from the beginning, transfigural mathematics sets the pupils free from rigid thinking. This is not just about being flexible, but that nothing in Nature is rigid. Of course there is permanence but whatever is permanent is inbuilt with the qualities of change, without which nothing new can come to be. Transfigural Mathematics transcends the dream of Heraclitus. It shatters determinism and shows why the first cause, whatever that is, needs the Other to know that it is the First Cause. Every One includes the Other which includes the All.

3373 рублей

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Frank Plumpton Ramsey The Foundations of Mathematics and Other Logical Essays

2013 Reprint of 1931 edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. Frank Plumpton Ramsey (1903-1930) was a British mathematician who also made significant and precocious contributions in philosophy and economics before his death at the age of 26. He was a close friend of Ludwig Wittgenstein, and was instrumental in translating Wittgenstein's "Tractatus Logico-Philosophicus" into English, and in persuading Wittgenstein to return to philosophy and to Cambridge. This volume collects Ramsey's most important papers. Contents: The foundations of mathematics.--Mathematical logic.--On a problem of formal logic.--Universals.--Note on the preceding paper.--Facts and propositions.--Truth and probability.--Further considerations.--Last papers.

1677 рублей

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Timothy C. Kearns Foundations of Mathematics and Statistics. Probability and Statistics with an Introduction to the Fundamentals of Mathematics

Foundations of Mathematics and Statistics is a summary of the basic principles of math and statistics for students that are interested in pursuing studies in the mathematical sciences. The first goal is to provide a good foundation of knowledge and ability with the basics of mathematics. This includes logic, sets, number systems, algebra, geometry, trigonometry, and the calculus. Then the remainder of the book deals with the fundamental topics of applied and mathematical statistics, including probability, random variables, expected value, samples, distributions, hypothesis testing, confidence intervals, and an introduction to linear regression and correlation. The book can be used by all students that need a summary of math fundamentals, with a sound introduction to the basics of statistical thinking and methodology. Those that need a good familiarity with math and statistics would find this book a valuable supplemental reading, along with the fair amount of exercises that are included in order to reinforce the important ideas.

3127 рублей

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A. N. Kolmogorov Foundations of the Theory of Probability

2013 Reprint of 1956 Second Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. "Foundations of the Theory of Probability" by Andrey Nikolaevich Kolmogorov is historically important in the history of mathematics. It is the foundation of modern probability theory. The monograph appeared as "Grundbegriffe der Wahrscheinlichkeitsrechnung" in 1933 and build up probability theory in a rigorous way similar to what Euclid did with geometry. With this treastise Kolmogorov laid the foundations for modern probability theory and established his reputation as the world's leading expert in this field.

1389 рублей

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Tretyakov Sergei A. Modern Electromagnetic Scattering Theory with Applications

This self-contained book gives fundamental knowledge about scattering and diffraction of electromagnetic waves and fills the gap between general electromagnetic theory courses and collections of engineering formulas. The book is a tutorial for advanced students learning the mathematics and physics of electromagnetic scattering and curious to know how engineering concepts and techniques relate to the foundations of electromagnetics

14651.58 рублей

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Robin Qiu G. Service Science. The Foundations of Service Engineering and Management

Features coverage of the service systems lifecycle, including service marketing, engineering, delivery, quality control, management, and sustainment Featuring an innovative and holistic approach, Service Science: The Foundations of Service Engineering and Management provides a new perspective of service research and practice. The book presents a practical approach to the service systems lifecycle framework, which aids in understanding and capturing market trends; analyzing the design and engineering of service products and delivery networks; executing service operations; and controlling and managing the service lifecycles for competitive advantage. Utilizing a combined theoretical and practical approach to discuss service science, Service Science: The Foundations of Service Engineering and Management also features: Case studies to illustrate how the presented theories and design principles are applied in practice to the definitions of fundamental service laws, including service interaction and socio-technical natures Computational thinking and system modeling such as abstraction, digitalization, holistic perspectives, and analytics Plentiful examples of service organizations such as automobile after-sale services, global project management networks, and express delivery services An interdisciplinary emphasis that includes integrated approaches from the fields of mathematics, engineering, industrial engineering, business, operations research, and management science A detailed analysis of the key concepts and body of knowledge for readers to master the foundations of service management Service Science: The Foundations of Service Engineering and Management is an ideal reference for practitioners in the contemporary service engineering and management field as well as researchers in applied mathematics, statistics, business/management science, operations research, industrial engineering, and economics. The book is also appropriate as a text for upper-undergraduate and graduate-level courses in industrial engineering, operations research, and management science as well as MBA students studying service management.

10216.51 рублей

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Combinatorial Mathematics VII. Proceedings of the Seventh Australian Conference on Combinatorial Mathematics, Held at the University of Newcastle, Australia, August 20-24, 1979

Книга "Combinatorial Mathematics VII. Proceedings of the Seventh Australian Conference on Combinatorial Mathematics, Held at the University of Newcastle, Australia, August 20-24, 1979".

5902 рублей

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Craig Smorynski Chapters in Mathematics. from Pi to Pell

Growing out of a course in the history of mathematics given to school teachers,the present book covers a number of topics of elementary mathematics from both the mathematical and historical perspectives.Included are topics from geometry (π, Napoleon's Theorem, trigonometry),recreational mathematics (the Pell equation, Fibonacci numbers), and computational mathematics (finding square roots, mathematical tables). Although written with the needs of the mathematics teacher in mind, the book can be read profitably by any high school graduate with a liking for mathematics.

2139 рублей

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Selected Writings from the Journal of the British Columbia Association of Mathematics Teachers. Celebrating 50 years (1962-2012) of Vector

A volume in The Montana Mathematics Enthusiast: Monograph Series in Mathematics EducationThe teaching and learning of mathematics in British Columbia has a long and storied history. An integral part of the past 50 years (1962-2012) of this history has been Vector: Journal of the British Columbia Association of Mathematics Teachers. This volume, which presents ten memorable articles from each of the past five decades, that is, 50 articles from the past 50 years of the journal, provides an opportunity to share this rich history with a wide range of individuals interested in the teaching and learning of mathematics and mathematics education. Each decade begins with an introduction, providing a historical context, and concludes with a commentary from a prominent member of the British Columbia mathematics education community. As a result, this monograph provides a historical ac-count as well as a contemporary view of many of the trends and issues in the teaching and learning of mathematics. This volume is meant to serve as a re-source for a variety of individuals including: teachers of mathematics, mathematics teacher educators, mathematics education researchers, historians, and undergraduate and graduate students. Most importantly, this volume is a celebratory retrospective on the work of the British Columbia Association of Mathe-matics Teachers.

5914 рублей

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Selected Writings from the Journal of the Mathematics Council of the Alberta Teachers. Association. Celebrating 50 Years (1962-2012) of Delta-K

A volume in the series The Montana Mathematics Enthusiast: Monograph Seriesin Mathematics Education. Series Editor: Bharath Sriraman, The University of MontanaThe teaching and learning of mathematics in Alberta - one of three Canadian provinces sharing aborder with Montana - has a long and storied history. An integral part of the past 50 years (1962-2012) of this history has been delta-K: Journal of the Mathematics Council of the AlbertaTeachers' Association. This volume, which presents ten memorable articles from each of the pastfive decades, that is, 50 articles from the past 50 years of the journal, provides an opportunity toshare this rich history with a wide range of individuals interested in the teaching and learning of mathematics and mathematicseducation. Each decade begins with an introduction, providing a historical context, and concludes with a commentary from a prominentmember of the Alberta mathematics education community. As a result, this monograph provides a historical account as well as acontemporary view of many of the trends and issues in the teaching and learning of mathematics. This volume is meant to serve as aresource for a variety of individuals, including teachers of mathematics, mathematics teacher educators, mathematics educationresearchers, historians, and undergraduate and graduate students. Most importantly, this volume is a celebratory retrospective on thework of the Mathematics Council of the Alberta Teachers' Association.

5852 рублей

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Combinatorial Mathematics IX. Proceedings of the Ninth Australian Conference on Combinatorial Mathematics Held at the University of Queensland, Bris

Книга "Combinatorial Mathematics IX. Proceedings of the Ninth Australian Conference on Combinatorial Mathematics Held at the University of Queensland, Bris".

7627 рублей

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The Work of Mathematics Teacher Educators. Exchanging Ideas for Effective Practice

This monograph marks a major step in the growth of the Association of Mathematics Teacher Educators (AMTE) as the leading organization for mathematics teacher educators. It is an effort by AMTE to provide further support for the work of mathematics teacher educators throughout the United States. It is hoped that readers will find this monograph to be useful in their day-to-day work with mathematics teachers. Learning to be a mathematics teacher is a life-long process, but so is learning to be a mathematics teacher educator. Just as mathematics teachers need opportunities for professional growth, so do mathematics teacher educators. Publications such as this monograph can serve an important role in the professional development of mathematics teacher educators.

4002 рублей

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Ranjit Singh Engineering Mathematics for B.Tech Students

Document from the year 2014 in the subject Mathematics - Applied Mathematics, grade: 13, , course: B.Tech, Semester-II, language: English, abstract: Its applied mathematics notes for B.Tech students of Second Semester of Indian Universities.Strictly according to the syllabus of P.T.U (Jalandhar)

4727 рублей

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Andrew Patzer Foundations of JSP Design Patterns

Книга "Foundations of JSP Design Patterns".

5052 рублей

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Features coverage of the service systems lifecycle, including service marketing, engineering, delivery, quality control, management, and sustainment Featuring an innovative and holistic approach, Service Science: The Foundations of Service Engineering and Management provides a new perspective of service research and practice. The book presents a practical approach to the service systems lifecycle framework, which aids in understanding and capturing market trends; analyzing the design and engineering of service products and delivery networks; executing service operations; and controlling and managing the service lifecycles for competitive advantage. Utilizing a combined theoretical and practical approach to discuss service science, Service Science: The Foundations of Service Engineering and Management also features: Case studies to illustrate how the presented theories and design principles are applied in practice to the definitions of fundamental service laws, including service interaction and socio-technical natures Computational thinking and system modeling such as abstraction, digitalization, holistic perspectives, and analytics Plentiful examples of service organizations such as automobile after-sale services, global project management networks, and express delivery services An interdisciplinary emphasis that includes integrated approaches from the fields of mathematics, engineering, industrial engineering, business, operations research, and management science A detailed analysis of the key concepts and body of knowledge for readers to master the foundations of service management Service Science: The Foundations of Service Engineering and Management is an ideal reference for practitioners in the contemporary service engineering and management field as well as researchers in applied mathematics, statistics, business/management science, operations research, industrial engineering, and economics. The book is also appropriate as a text for upper-undergraduate and graduate-level courses in industrial engineering, operations research, and management science as well as MBA students studying service management.

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