Kategoria BISAC: Mathematics >> Set Theory

Accessible to all students with a sound background in high school mathematics, A Concise Introduction to Pure Mathematics, Fourth Edition presents some of the most fundamental and beautiful ideas in pure mathematics. It covers not only standard material but also many interesting topics not usually encountered at this level, such as the theory of solving cubic equations; Euler s formula for the numbers of corners, edges, and faces of a solid object and the five Platonic solids; the use of prime numbers to encode and decode secret information; the theory of how to compare...

Exploring the Infinite addresses the trend toward

a combined transition course and introduction to analysis course. It

guides the reader through the processes of abstraction and log-

ical argumentation, to make the transition from student of mathematics to

practitioner of mathematics.

This requires more than knowledge of the definitions of mathematical structures,

elementary logic, and standard proof techniques. The student focused on only these

will develop little more than the ability to identify a number of proof templates and...

A Bridge to Higher Mathematics is more than simply another book to aid the transition to advanced mathematics. The authors intend to assist students in developing a deeper understanding of mathematics and mathematical thought.

The only way to understand mathematics is by doing mathematics. The reader will learn the language of axioms and theorems and will write convincing and cogent proofs using quantifiers. Students will solve many puzzles and encounter some mysteries and challenging problems.

The emphasis is on proof. To progress towards...

Essentials of Mathematical Thinking addresses the growing need to better comprehend mathematics today. Increasingly, our world is driven by mathematics in all aspects of life. The book is an excellent introduction to the world of mathematics for students not majoring in mathematical studies.

The author has written this book in an enticing, rich manner that will engage students and introduce new paradigms of thought. Careful readers will develop critical thinking skills which will help them compete in today's world.

The book explains:

• What goes behind a...

Applicable to any problem that requires a finite number of solutions, finite state-based models (also called finite state machines or finite state automata) have found wide use in various areas of computer science and engineering. Handbook of Finite State Based Models and Applications provides a complete collection of introductory materials on finite state theories, algorithms, and the latest domain applications. For beginners, the book is a handy reference for quickly looking up model details. For more experienced researchers, it is suitable as a source of in-depth study...

Strange Functions in Real Analysis, Third Edition differs from the previous editions in that it includes five new chapters as well as two appendices. More importantly, the entire text has been revised and contains more detailed explanations of the presented material. In doing so, the book explores a number of important examples and constructions of pathological functions.

After introducing basic concepts, the author begins with Cantor and Peano-type functions, then moves effortlessly to functions whose constructions require what is essentially...

FOrst och frAmst Ar detta en vacker berAttelse om en flicka som lAr sig att rAkna. Det visar sig dock vara sA att de flesta av oss har glOmt hur vi blev skickliga rAknare. FA vet om att vi dA ocksA lAr oss koncept frAn hOgre matematik. Om ni Ar nyfikna pA varfOr ni kan rAkna eller om ni vill gOra nAgra Ovningar tillsammans med barn fOr att hjAlpa dem pA vAgen mot att rAkna, dA Ar det hAr en bok fOr er. Det finns nAgot fOr alla i boken och den kommer att tilltala utforskande barn och omtAnksamma fOrAldrar, sAvAl som garvade matematiker. Boken illustrerar och fOrklarar genomgAende nAgra...

FOrst och frAmst Ar detta en vacker berAttelse om en flicka som lAr sig att rAkna. Det visar sig dock vara sA att de flesta av oss har glOmt hur vi blev skickliga rAknare. FA vet om att vi dA ocksA lAr oss koncept frAn hOgre matematik. Om ni Ar nyfikna pA varfOr ni kan rAkna eller om ni vill gOra nAgra Ovningar tillsammans med barn fOr att hjAlpa dem pA vAgen mot att rAkna, dA Ar det hAr en bok fOr er. Det finns nAgot fOr alla i boken och den kommer att tilltala utforskande barn och omtAnksamma fOrAldrar, sAvAl som garvade matematiker. Boken illustrerar och fOrklarar genomgAende nAgra...

The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist.

The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level.

The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late...

The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist.

The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level.

The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late...