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Concrete Mathematics

Concrete Mathematics PDF Author: Ronald L. Graham
Publisher: Addison-Wesley Professional
ISBN: 0134389980
Category : Computers
Languages : en
Pages : 811

Book Description
This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: Sums Recurrences Integer functions Elementary number theory Binomial coefficients Generating functions Discrete probability Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.

Concrete Mathematics

Concrete Mathematics PDF Author: Ronald L. Graham
Publisher: Addison-Wesley Professional
ISBN: 0134389980
Category : Computers
Languages : en
Pages : 811

Book Description
This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline. Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study. Major topics include: Sums Recurrences Integer functions Elementary number theory Binomial coefficients Generating functions Discrete probability Asymptotic methods This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.

The Geometry of Schemes

The Geometry of Schemes PDF Author: David Eisenbud
Publisher: Springer Science & Business Media
ISBN: 0387226397
Category : Mathematics
Languages : en
Pages : 265

Book Description
Grothendieck’s beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice.

Exercises in Concrete Geometry

Exercises in Concrete Geometry PDF Author: David Sands Wright
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 84

Book Description


The Mathematics Teacher

The Mathematics Teacher PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 476

Book Description


Exercises in Concrete Geometry: With Supplementary Discussions

Exercises in Concrete Geometry: With Supplementary Discussions PDF Author: David Sands Wright
Publisher: Legare Street Press
ISBN: 9781020397882
Category : History
Languages : en
Pages : 0

Book Description
This book offers a fascinating exploration of concrete geometry and its many applications. Through a series of exercises and discussions, Wright guides readers through the fundamental concepts of the field, providing a comprehensive introduction to this interdisciplinary area of study. This book will appeal to anyone interested in mathematics, architecture, engineering, or design. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

The School Journal

The School Journal PDF Author:
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 844

Book Description


Nature

Nature PDF Author: Sir Norman Lockyer
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 1356

Book Description


Bulletin

Bulletin PDF Author: United States. Office of Education
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 676

Book Description


New York School Journal

New York School Journal PDF Author:
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 666

Book Description


Intermediate Arithmetic, Including Exercises in Solving Simple Algebraic Equations Containing One Unknown Quantity

Intermediate Arithmetic, Including Exercises in Solving Simple Algebraic Equations Containing One Unknown Quantity PDF Author: John Henry Walsh
Publisher:
ISBN:
Category :
Languages : en
Pages : 264

Book Description