**Author**: Heinrich Behnke

**Publisher:**MIT Press

**ISBN:**9780262020695

**Category :**Mathematics

**Languages :**en

**Pages :**685

**Book Description**

Volume II of a unique survey of the whole field of pure mathematics.

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## Fundamentals of Mathematics

**Author**: Heinrich Behnke

**Publisher:** MIT Press

**ISBN:** 9780262020695

**Category : **Mathematics

**Languages : **en

**Pages : **685

**Book Description**

Volume II of a unique survey of the whole field of pure mathematics.

## Fundamentals of Mathematics

**Author**: Heinrich Behnke

**Publisher:** MIT Press

**ISBN:** 9780262020695

**Category : **Mathematics

**Languages : **en

**Pages : **685

**Book Description**

Volume II of a unique survey of the whole field of pure mathematics.

## Fundamentals of Mathematics

**Author**: James Van Dyke

**Publisher:** Cengage Learning

**ISBN:** 9780538497978

**Category : **Mathematics

**Languages : **en

**Pages : **720

**Book Description**

The FUNDAMENTALS OF MATHEMATICS, Tenth Edition, offers a comprehensive and objectives-based review of all basic mathematics concepts. The authors prepare students for further coursework by addressing three important student needs: 1) establishing good study habits and overcoming math anxiety, 2) making the connections between mathematics and their modern, day-to-day activities, and 3) being paced and challenged according to their individual level of understanding whether right out of high school or returning to school later in life. The clear exposition and the consistency of presentation make learning arithmetic accessible for all. Key concepts presented in section objectives and further defined within the context of How and Why provide a strong foundation for learning and lasting comprehension. With a predominant emphasis on problem-solving skills, concepts, and applications based on real world data (with some introductory algebra integrated throughout), this book is suitable for individual study or for a variety of course formats: lab, self-paced, lecture, group, or combined formats. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

## Fun and Fundamentals of Mathematics

**Author**: J.V. Narlikar

**Publisher:** Universities Press

**ISBN:** 9788173713989

**Category : **Mathematical recreations

**Languages : **en

**Pages : **200

**Book Description**

This book introduces fundamental ideas in mathematics through intersting puzzles. Students, from age12 upwards, who are bored with routine classwork in maths will enjoy these puzzles which will sharpen will sharpen their logical reasoning. It is designed to arouse an interest in mathematics among readers among readers in the 12-18 age group.

## Fundamentals of Mathematical Logic

**Author**: Peter G. Hinman

**Publisher:** CRC Press

**ISBN:** 1351991752

**Category : **Mathematics

**Languages : **en

**Pages : **894

**Book Description**

This introductory graduate text covers modern mathematical logic from propositional, first-order and infinitary logic and Gödel's Incompleteness Theorems to extensive introductions to set theory, model theory and recursion (computability) theory. Based on the author's more than 35 years of teaching experience, the book develops students' intuition by presenting complex ideas in the simplest context for which they make sense. The book is appropriate for use as a classroom text, for self-study, and as a reference on the state of modern logic.

## The Fundamentals of Mathematical Analysis

**Author**: G. M. Fikhtengol'ts

**Publisher:** Elsevier

**ISBN:** 1483139077

**Category : **Mathematics

**Languages : **en

**Pages : **520

**Book Description**

The Fundamentals of Mathematical Analysis, Volume 1 is a textbook that provides a systematic and rigorous treatment of the fundamentals of mathematical analysis. Emphasis is placed on the concept of limit which plays a principal role in mathematical analysis. Examples of the application of mathematical analysis to geometry, mechanics, physics, and engineering are given. This volume is comprised of 14 chapters and begins with a discussion on real numbers, their properties and applications, and arithmetical operations over real numbers. The reader is then introduced to the concept of function, important classes of functions, and functions of one variable; the theory of limits and the limit of a function, monotonic functions, and the principle of convergence; and continuous functions of one variable. A systematic account of the differential and integral calculus is then presented, paying particular attention to differentiation of functions of one variable; investigation of the behavior of functions by means of derivatives; functions of several variables; and differentiation of functions of several variables. The remaining chapters focus on the concept of a primitive function (and of an indefinite integral); definite integral; geometric applications of integral and differential calculus. This book is intended for first- and second-year mathematics students.

## Introduction to the Foundations of Mathematics

**Author**: Raymond L. Wilder

**Publisher:** Courier Corporation

**ISBN:** 0486276201

**Category : **Mathematics

**Languages : **en

**Pages : **352

**Book Description**

Classic undergraduate text acquaints students with fundamental concepts and methods of mathematics. Topics include axiomatic method, set theory, infinite sets, groups, intuitionism, formal systems, mathematical logic, and much more. 1965 second edition.

## Essays on the Foundations of Mathematics and Logic

**Author**: Giandomenico Sica

**Publisher:** Polimetrica s.a.s.

**ISBN:** 8876990143

**Category : **Mathematics

**Languages : **en

**Pages : **351

**Book Description**

## Leśniewski's Systems of Logic and Foundations of Mathematics

**Author**: Rafal Urbaniak

**Publisher:** Springer Science & Business Media

**ISBN:** 3319004824

**Category : **Science

**Languages : **en

**Pages : **229

**Book Description**

This meticulous critical assessment of the ground-breaking work of philosopher Stanislaw Leśniewski focuses exclusively on primary texts and explores the full range of output by one of the master logicians of the Lvov-Warsaw school. The author’s nuanced survey eschews secondary commentary, analyzing Leśniewski's core philosophical views and evaluating the formulations that were to have such a profound influence on the evolution of mathematical logic. One of the undisputed leaders of the cohort of brilliant logicians that congregated in Poland in the early twentieth century, Leśniewski was a guide and mentor to a generation of celebrated analytical philosophers (Alfred Tarski was his PhD student). His primary achievement was a system of foundational mathematical logic intended as an alternative to the Principia Mathematica of Alfred North Whitehead and Bertrand Russell. Its three strands—‘protothetic’, ‘ontology’, and ‘mereology’, are detailed in discrete sections of this volume, alongside a wealth other chapters grouped to provide the fullest possible coverage of Leśniewski’s academic output. With material on his early philosophical views, his contributions to set theory and his work on nominalism and higher-order quantification, this book offers a uniquely expansive critical commentary on one of analytical philosophy’s great pioneers.

## Set Theory And Foundations Of Mathematics: An Introduction To Mathematical Logic - Volume Ii: Foundations Of Mathematics

**Author**: Douglas Cenzer

**Publisher:** World Scientific

**ISBN:** 9811243867

**Category : **Mathematics

**Languages : **en

**Pages : **256

**Book Description**

This book provides an introduction to mathematical logic and the foundations of mathematics. It will help prepare students for advanced study in set theory and mathematical logic as well as other areas of mathematics, such as analysis, topology, and algebra. The presentation of finite state and Turing machines leads to the Halting Problem and Gödel's Incompleteness Theorem, which have broad academic interest, particularly in computer science and philosophy.

## Fundamentals of University Mathematics

**Author**: Colin McGregor

**Publisher:** Elsevier

**ISBN:** 0857092243

**Category : **Mathematics

**Languages : **en

**Pages : **568

**Book Description**

The third edition of this popular and effective textbook provides in one volume a unified treatment of topics essential for first year university students studying for degrees in mathematics. Students of computer science, physics and statistics will also find this book a helpful guide to all the basic mathematics they require. It clearly and comprehensively covers much of the material that other textbooks tend to assume, assisting students in the transition to university-level mathematics. Expertly revised and updated, the chapters cover topics such as number systems, set and functions, differential calculus, matrices and integral calculus. Worked examples are provided and chapters conclude with exercises to which answers are given. For students seeking further challenges, problems intersperse the text, for which complete solutions are provided. Modifications in this third edition include a more informal approach to sequence limits and an increase in the number of worked examples, exercises and problems. The third edition of Fundamentals of university mathematics is an essential reference for first year university students in mathematics and related disciplines. It will also be of interest to professionals seeking a useful guide to mathematics at this level and capable pre-university students. One volume, unified treatment of essential topics Clearly and comprehensively covers material beyond standard textbooks Worked examples, challenges and exercises throughout

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Volume II of a unique survey of the whole field of pure mathematics.

Volume II of a unique survey of the whole field of pure mathematics.

The FUNDAMENTALS OF MATHEMATICS, Tenth Edition, offers a comprehensive and objectives-based review of all basic mathematics concepts. The authors prepare students for further coursework by addressing three important student needs: 1) establishing good study habits and overcoming math anxiety, 2) making the connections between mathematics and their modern, day-to-day activities, and 3) being paced and challenged according to their individual level of understanding whether right out of high school or returning to school later in life. The clear exposition and the consistency of presentation make learning arithmetic accessible for all. Key concepts presented in section objectives and further defined within the context of How and Why provide a strong foundation for learning and lasting comprehension. With a predominant emphasis on problem-solving skills, concepts, and applications based on real world data (with some introductory algebra integrated throughout), this book is suitable for individual study or for a variety of course formats: lab, self-paced, lecture, group, or combined formats. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

This book introduces fundamental ideas in mathematics through intersting puzzles. Students, from age12 upwards, who are bored with routine classwork in maths will enjoy these puzzles which will sharpen will sharpen their logical reasoning. It is designed to arouse an interest in mathematics among readers among readers in the 12-18 age group.

This introductory graduate text covers modern mathematical logic from propositional, first-order and infinitary logic and Gödel's Incompleteness Theorems to extensive introductions to set theory, model theory and recursion (computability) theory. Based on the author's more than 35 years of teaching experience, the book develops students' intuition by presenting complex ideas in the simplest context for which they make sense. The book is appropriate for use as a classroom text, for self-study, and as a reference on the state of modern logic.

The Fundamentals of Mathematical Analysis, Volume 1 is a textbook that provides a systematic and rigorous treatment of the fundamentals of mathematical analysis. Emphasis is placed on the concept of limit which plays a principal role in mathematical analysis. Examples of the application of mathematical analysis to geometry, mechanics, physics, and engineering are given. This volume is comprised of 14 chapters and begins with a discussion on real numbers, their properties and applications, and arithmetical operations over real numbers. The reader is then introduced to the concept of function, important classes of functions, and functions of one variable; the theory of limits and the limit of a function, monotonic functions, and the principle of convergence; and continuous functions of one variable. A systematic account of the differential and integral calculus is then presented, paying particular attention to differentiation of functions of one variable; investigation of the behavior of functions by means of derivatives; functions of several variables; and differentiation of functions of several variables. The remaining chapters focus on the concept of a primitive function (and of an indefinite integral); definite integral; geometric applications of integral and differential calculus. This book is intended for first- and second-year mathematics students.

Classic undergraduate text acquaints students with fundamental concepts and methods of mathematics. Topics include axiomatic method, set theory, infinite sets, groups, intuitionism, formal systems, mathematical logic, and much more. 1965 second edition.

This meticulous critical assessment of the ground-breaking work of philosopher Stanislaw Leśniewski focuses exclusively on primary texts and explores the full range of output by one of the master logicians of the Lvov-Warsaw school. The author’s nuanced survey eschews secondary commentary, analyzing Leśniewski's core philosophical views and evaluating the formulations that were to have such a profound influence on the evolution of mathematical logic. One of the undisputed leaders of the cohort of brilliant logicians that congregated in Poland in the early twentieth century, Leśniewski was a guide and mentor to a generation of celebrated analytical philosophers (Alfred Tarski was his PhD student). His primary achievement was a system of foundational mathematical logic intended as an alternative to the Principia Mathematica of Alfred North Whitehead and Bertrand Russell. Its three strands—‘protothetic’, ‘ontology’, and ‘mereology’, are detailed in discrete sections of this volume, alongside a wealth other chapters grouped to provide the fullest possible coverage of Leśniewski’s academic output. With material on his early philosophical views, his contributions to set theory and his work on nominalism and higher-order quantification, this book offers a uniquely expansive critical commentary on one of analytical philosophy’s great pioneers.

This book provides an introduction to mathematical logic and the foundations of mathematics. It will help prepare students for advanced study in set theory and mathematical logic as well as other areas of mathematics, such as analysis, topology, and algebra. The presentation of finite state and Turing machines leads to the Halting Problem and Gödel's Incompleteness Theorem, which have broad academic interest, particularly in computer science and philosophy.

The third edition of this popular and effective textbook provides in one volume a unified treatment of topics essential for first year university students studying for degrees in mathematics. Students of computer science, physics and statistics will also find this book a helpful guide to all the basic mathematics they require. It clearly and comprehensively covers much of the material that other textbooks tend to assume, assisting students in the transition to university-level mathematics. Expertly revised and updated, the chapters cover topics such as number systems, set and functions, differential calculus, matrices and integral calculus. Worked examples are provided and chapters conclude with exercises to which answers are given. For students seeking further challenges, problems intersperse the text, for which complete solutions are provided. Modifications in this third edition include a more informal approach to sequence limits and an increase in the number of worked examples, exercises and problems. The third edition of Fundamentals of university mathematics is an essential reference for first year university students in mathematics and related disciplines. It will also be of interest to professionals seeking a useful guide to mathematics at this level and capable pre-university students. One volume, unified treatment of essential topics Clearly and comprehensively covers material beyond standard textbooks Worked examples, challenges and exercises throughout