Invitation To Number Theory With Pascal

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An Invitation to Abstract Mathematics

Author : Béla Bajnok
Publisher : Springer Nature
ISBN 13 : 3030561747
Total Pages : 443 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis An Invitation to Abstract Mathematics by : Béla Bajnok

Download or read book An Invitation to Abstract Mathematics written by Béla Bajnok and published by Springer Nature. This book was released on 2020-10-27 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This undergraduate textbook promotes an active transition to higher mathematics. Problem solving is the heart and soul of this book: each problem is carefully chosen to demonstrate, elucidate, or extend a concept. More than 300 exercises engage the reader in extensive arguments and creative approaches, while exploring connections between fundamental mathematical topics. Divided into four parts, this book begins with a playful exploration of the building blocks of mathematics, such as definitions, axioms, and proofs. A study of the fundamental concepts of logic, sets, and functions follows, before focus turns to methods of proof. Having covered the core of a transition course, the author goes on to present a selection of advanced topics that offer opportunities for extension or further study. Throughout, appendices touch on historical perspectives, current trends, and open questions, showing mathematics as a vibrant and dynamic human enterprise. This second edition has been reorganized to better reflect the layout and curriculum of standard transition courses. It also features recent developments and improved appendices. An Invitation to Abstract Mathematics is ideal for those seeking a challenging and engaging transition to advanced mathematics, and will appeal to both undergraduates majoring in mathematics, as well as non-math majors interested in exploring higher-level concepts. From reviews of the first edition: Bajnok’s new book truly invites students to enjoy the beauty, power, and challenge of abstract mathematics. ... The book can be used as a text for traditional transition or structure courses ... but since Bajnok invites all students, not just mathematics majors, to enjoy the subject, he assumes very little background knowledge. Jill Dietz, MAA Reviews The style of writing is careful, but joyously enthusiastic.... The author’s clear attitude is that mathematics consists of problem solving, and that writing a proof falls into this category. Students of mathematics are, therefore, engaged in problem solving, and should be given problems to solve, rather than problems to imitate. The author attributes this approach to his Hungarian background ... and encourages students to embrace the challenge in the same way an athlete engages in vigorous practice. John Perry, zbMATH

Modern Instrumentation

Author : G Silverman
Publisher : CRC Press
ISBN 13 : 1040287093
Total Pages : 468 pages
Book Rating : 4.0/5 (42 download)

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Book Synopsis Modern Instrumentation by : G Silverman

Download or read book Modern Instrumentation written by G Silverman and published by CRC Press. This book was released on 2024-11-01 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern science and engineering relies heavily on understanding computer hardware and software in order to make effective use of these tools in the laboratory and industrial environments. The authors of Modern Instrumentation: A Computer Approach have succeeded in producing a highly readable source that will serve both newcomers to the field as well as experienced professionals. Including both fundamentals and applications, the book first describes the role of the computer in instrument systems and provides numerous practical examples. The second part of the book explores specific software packages and their capabilities for applications such as, instrument design and simulation, data acquisition, data processing, and the potential of artificial intelligence in instrument design. Because of the full integration of theory with practical applications of leading software packages, this book is an extremely useful reference for those who use computer-based instrument technology for data acquisition and who are involved with hardware or software development for laboratory and process control.

An Invitation to Combinatorics

Author : Shahriar Shahriari
Publisher : Cambridge University Press
ISBN 13 : 1108476546
Total Pages : 631 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis An Invitation to Combinatorics by : Shahriar Shahriari

Download or read book An Invitation to Combinatorics written by Shahriar Shahriari and published by Cambridge University Press. This book was released on 2021-07-22 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: A conversational introduction to combinatorics for upper undergraduates, emphasizing problem solving and active student participation.

Exploring Number Theory with Microcomputers

Author : Donald D. Spencer
Publisher :
ISBN 13 :
Total Pages : 298 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Exploring Number Theory with Microcomputers by : Donald D. Spencer

Download or read book Exploring Number Theory with Microcomputers written by Donald D. Spencer and published by . This book was released on 1989 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Prime Recreations

Author : Bruce Pyne
Publisher : Page Publishing Inc
ISBN 13 : 1642982911
Total Pages : 416 pages
Book Rating : 4.6/5 (429 download)

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Book Synopsis Prime Recreations by : Bruce Pyne

Download or read book Prime Recreations written by Bruce Pyne and published by Page Publishing Inc. This book was released on 2020-11-09 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bruce has created a work totally unique among books of this type. He chose to number his chapters with prime numbers and cover material not seen anywhere else. Particularly interesting are his chapters on digit patterns and primes forming triangles. Nearly half of the length of the book is devoted to eleven (a prime number) chapters of lists of primes. Here, the reader will find a delightful and motley mélange of unlikely subjects, many with clever titles, and all alphabetically arranged. Incl

Invitation to Geometry

Author : Z. A. Melzak
Publisher : Courier Corporation
ISBN 13 : 0486789489
Total Pages : 244 pages
Book Rating : 4.4/5 (867 download)

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Book Synopsis Invitation to Geometry by : Z. A. Melzak

Download or read book Invitation to Geometry written by Z. A. Melzak and published by Courier Corporation. This book was released on 2014-01-15 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for students of many different backgrounds with only a modest knowledge of mathematics, this text features self-contained chapters that can be adapted to several types of geometry courses. Only a slight acquaintance with mathematics beyond the high-school level is necessary, including some familiarity with calculus and linear algebra. This text's introductions to several branches of geometry feature topics and treatments based on memorability and relevance. The author emphasizes connections with calculus and simple mechanics, focusing on developing students' grasp of spatial relationships. Subjects include classical Euclidean material, polygonal and circle isoperimetry, conics and Pascal's theorem, geometrical optimization, geometry and trigonometry on a sphere, graphs, convexity, and elements of differential geometry of curves. Additional material may be conveniently introduced in several places, and each chapter concludes with exercises of varying degrees of difficulty.

Key Dates in Number Theory History

Author : Donald D. Spencer
Publisher : Camelot Publishing Company
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Key Dates in Number Theory History by : Donald D. Spencer

Download or read book Key Dates in Number Theory History written by Donald D. Spencer and published by Camelot Publishing Company. This book was released on 1995 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chronicles every event in the history of number theory, highlighting what happened, when it happened and who made it happen.

The Cumulative Book Index

Author :
Publisher :
ISBN 13 :
Total Pages : 2230 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Cumulative Book Index by :

Download or read book The Cumulative Book Index written by and published by . This book was released on 1996 with total page 2230 pages. Available in PDF, EPUB and Kindle. Book excerpt: A world list of books in the English language.

Numbers and Functions

Author : Victor H. Moll
Publisher : American Mathematical Soc.
ISBN 13 : 0821887955
Total Pages : 530 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Numbers and Functions by : Victor H. Moll

Download or read book Numbers and Functions written by Victor H. Moll and published by American Mathematical Soc.. This book was released on 2012 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: New mathematics often comes about by probing what is already known. Mathematicians will change the parameters in a familiar calculation or explore the essential ingredients of a classic proof. Almost magically, new ideas emerge from this process. This book examines elementary functions, such as those encountered in calculus courses, from this point of view of experimental mathematics. The focus is on exploring the connections between these functions and topics in number theory and combinatorics. There is also an emphasis throughout the book on how current mathematical software can be used to discover and interesting properties of these functions. The book provides a transition between elementary mathematics and more advanced topics, trying to make this transition as smooth as possible. Many topics occur in the book, but they are all part of a bigger picture of mathematics. By delving into a variety of them, the reader will develop this broad view. The large collection of problems is an essential part of the book. The problems vary from routine verifications of facts used in the text to the exploration of open questions. Book jacket.

The Mathematical Gazette

Author :
Publisher :
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis The Mathematical Gazette by :

Download or read book The Mathematical Gazette written by and published by . This book was released on 1991 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Small Press

Author :
Publisher :
ISBN 13 :
Total Pages : 800 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Small Press by :

Download or read book Small Press written by and published by . This book was released on 1991 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Primes of the Form X2 + Ny2

Author : David A. Cox
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 380 pages
Book Rating : 4.3/5 (97 download)

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Book Synopsis Primes of the Form X2 + Ny2 by : David A. Cox

Download or read book Primes of the Form X2 + Ny2 written by David A. Cox and published by Wiley-Interscience. This book was released on 1989-09-28 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern number theory began with the work of Euler and Gauss to understand and extend the many unsolved questions left behind by Fermat. In the course of their investigations, they uncovered new phenomena in need of explanation, which over time led to the discovery of field theory and its intimate connection with complex multiplication. While most texts concentrate on only the elementary or advanced aspects of this story, Primes of the Form x2 + ny2 begins with Fermat and explains how his work ultimately gave birth to quadratic reciprocity and the genus theory of quadratic forms. Further, the book shows how the results of Euler and Gauss can be fully understood only in the context of class field theory. Finally, in order to bring class field theory down to earth, the book explores some of the magnificent formulas of complex multiplication. The central theme of the book is the story of which primes p can be expressed in the form x2 + ny2. An incomplete answer is given using quadratic forms. A better though abstract answer comes from class field theory, and finally, a concrete answer is provided by complex multiplication. Along the way, the reader is introduced to some wonderful number theory. Numerous exercises and examples are included. The book is written to be enjoyed by readers with modest mathematical backgrounds. Chapter 1 uses basic number theory and abstract algebra, while chapters 2 and 3 require Galois theory and complex analysis, respectively.

Number Theory

Author : Titu Andreescu
Publisher : Springer Science & Business Media
ISBN 13 : 0817646450
Total Pages : 383 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Number Theory by : Titu Andreescu

Download or read book Number Theory written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2009-06-12 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory textbook takes a problem-solving approach to number theory, situating each concept within the framework of an example or a problem for solving. Starting with the essentials, the text covers divisibility, unique factorization, modular arithmetic and the Chinese Remainder Theorem, Diophantine equations, binomial coefficients, Fermat and Mersenne primes and other special numbers, and special sequences. Included are sections on mathematical induction and the pigeonhole principle, as well as a discussion of other number systems. By emphasizing examples and applications the authors motivate and engage readers.

Forthcoming Books

Author : Rose Arny
Publisher :
ISBN 13 :
Total Pages : 1568 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Forthcoming Books by : Rose Arny

Download or read book Forthcoming Books written by Rose Arny and published by . This book was released on 1992 with total page 1568 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Choice

Author :
Publisher :
ISBN 13 :
Total Pages : 736 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Choice by :

Download or read book Choice written by and published by . This book was released on 2008 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Course in Computational Algebraic Number Theory

Author : Henri Cohen
Publisher : Springer Science & Business Media
ISBN 13 : 3662029456
Total Pages : 556 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis A Course in Computational Algebraic Number Theory by : Henri Cohen

Download or read book A Course in Computational Algebraic Number Theory written by Henri Cohen and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: A description of 148 algorithms fundamental to number-theoretic computations, in particular for computations related to algebraic number theory, elliptic curves, primality testing and factoring. The first seven chapters guide readers to the heart of current research in computational algebraic number theory, including recent algorithms for computing class groups and units, as well as elliptic curve computations, while the last three chapters survey factoring and primality testing methods, including a detailed description of the number field sieve algorithm. The whole is rounded off with a description of available computer packages and some useful tables, backed by numerous exercises. Written by an authority in the field, and one with great practical and teaching experience, this is certain to become the standard and indispensable reference on the subject.

Not Always Buried Deep

Author : Paul Pollack
Publisher : American Mathematical Soc.
ISBN 13 : 0821848801
Total Pages : 322 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Not Always Buried Deep by : Paul Pollack

Download or read book Not Always Buried Deep written by Paul Pollack and published by American Mathematical Soc.. This book was released on 2009-10-14 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number theory is one of the few areas of mathematics where problems of substantial interest can be fully described to someone with minimal mathematical background. Solving such problems sometimes requires difficult and deep methods. But this is not a universal phenomenon; many engaging problems can be successfully attacked with little more than one's mathematical bare hands. In this case one says that the problem can be solved in an elementary way. Such elementary methods and the problems to which they apply are the subject of this book. Not Always Buried Deep is designed to be read and enjoyed by those who wish to explore elementary methods in modern number theory. The heart of the book is a thorough introduction to elementary prime number theory, including Dirichlet's theorem on primes in arithmetic progressions, the Brun sieve, and the Erdos-Selberg proof of the prime number theorem. Rather than trying to present a comprehensive treatise, Pollack focuses on topics that are particularly attractive and accessible. Other topics covered include Gauss's theory of cyclotomy and its applications to rational reciprocity laws, Hilbert's solution to Waring's problem, and modern work on perfect numbers. The nature of the material means that little is required in terms of prerequisites: The reader is expected to have prior familiarity with number theory at the level of an undergraduate course and a first course in modern algebra (covering groups, rings, and fields). The exposition is complemented by over 200 exercises and 400 references.