کتاب های موجود در دسته بندی ترکیبات در ریاضی

CO 446 Matroid Theory
Published on: 2016
Beginner Mathematic Combinatorics English

matroids combinatorics independence rank circuits
Theory of Beam-Columns, Volume 1: In-Plane Behavior and Design
Published on: 2007
Beginner Mathematic Combinatorics English

This first volume of a two-volume work presents the basic theoretical principles, methods of analysis in obtaining the solutions of …

Structural Engineering Stability Design Analysis
Combinatorics of finite sets
Published on: 1987
Beginner Mathematic Combinatorics English

The combinatorial study of finite set systems is a lively area of research unified by the gradual discovery of structural …

Combinatorics Finite Sets Mathematics Discrete Structures Enumeration
Graph Theory and Complex Networks: An Introduction
Published on: 2010
Beginner Mathematic Combinatorics English

This book aims to explain the basics of graph theory that are needed at an introductory level for students in …

graphs networks connectivity algorithms structures
The Simplex Method: A Probabilistic Analysis
Published on: 1987
Beginner Mathematic Combinatorics English

For more than 35 years now, George B. Dantzig's Simplex-Method has been the most efficient mathematical tool for solving linear …

Optimization Linear Programming Probabilistic Algorithm Simplex
Combinatorial Approach to Matrix Theory and Its Applications
Published on: 2008
Beginner Mathematic Combinatorics English

Matrices Combinatorics Graphs Linear Algebra Applications
Algebraic, Extremal and Metric Combinatorics 1986
Published on: 1988
Beginner Mathematic Combinatorics English

Resulting from papers from Algebraic, Extremal and Metric Combinatorics 1986 conference held at the University of Montreal, this book represents …

Combinatorics Algebraic Extremal Metric 1986
How to Count: An Introduction to Combinatorics and Its Applications
Published on: 2015
Beginner Mathematic Combinatorics English

Providing a self-contained resource for upper undergraduate courses in combinatorics, this text emphasizes computation, problem solving, and proof technique. In …

Combinatorics Counting Applications Mathematics Techniques
The Probabilistic Method
Published on: 2000
Beginner Mathematic Combinatorics English

Combinatorics Probability Erdős Graphs Extremal
Instructional Design: International Perspectives, Volume 1: Theory, Research, and Models
Published on: 2009
Beginner Mathematic Combinatorics English

Instructional design theory and practice has evolved over the past 30 years from an initial narrow focus on programmed instruction …

Theory Research Models Instructional International
Combinatorial matrix theory
Published on: 1991
Beginner Mathematic Combinatorics English

The book deals with the many connections between matrices, graphs, diagraphs and bipartite graphs. The basic theory of network flows …

Matrices Graphs Algorithms Eigenvalues Combinatorics
Topics in Matroid Theory
Published on: 2014
Beginner Mathematic Combinatorics English

Topics in Matroid Theory provides a brief introduction to matroid theory with an emphasis on algorithmic consequences.Matroid theory is at …

Combinatorics Geometry Optimization Algebra Graphs
Combinatorial Methods in Topology and Algebra
Published on: 2015
Beginner Mathematic Combinatorics English

Combinatorics plays a prominent role in contemporary mathematics, due to the vibrant development it has experienced in the last two …

Topology Algebra Combinatorics Mathematical methods Dualities
The mathematical experience
Published on: 1990
Beginner Mathematic Combinatorics English

This is the classic introduction for the educated lay reader to the richly diverse world of mathematics: its history, philosophy, …

mathematics philosophy exploration creativity logic
Topics in Algebraic Graph Theory
Published on: 2004
Beginner Mathematic Combinatorics English

The rapidly expanding area of algebraic graph theory uses two different branches of algebra to explore various aspects of graph …

algebraic graph theory combinatorics symmetry
A Combinatorial Introduction to the Representation Theory of Sn [expository notes]
Published on: 2006
Beginner Mathematic Combinatorics English

symmetric representation combinatorics group theory
Recent advances in algorithms and combinatorics
Published on: 2003
Beginner Mathematic Combinatorics English

Combinatorics is one of the fastest growing fields of mathematics. One reason for this is because many practical problems can …

Algorithms Combinatorics Optimization GraphTheory Complexity
The Theory of Partitions
Published on: 1998
Beginner Mathematic Combinatorics English

Partition Integer Combinatorics Ferrers Generating-functions
Algebra Seven: Combinatorial Group Theory. Applications to Geometry
Published on: 1993
Beginner Mathematic Combinatorics English

This volume of the EMS consists of two parts. The first entitled Combinatorial Group Theory and Fundamental Groups, written by …

Combinatorial Geometry Group Theory Algebra Applications
Winning Ways for Your Mathematical Plays: Volume 1
Published on: 2001
Beginner Mathematic Combinatorics English

This classic on games and how to play them intelligently is being re-issued in a new, four volume edition. This …

Combinatorial Games Strategies Algorithms Mathematics
Additive Combinatorics: A Menu of Research Problems
Published on: 2018
Beginner Mathematic Combinatorics English

Additive Combinatorics: A Menu of Research Problems is the first book of its kind to provide readers with an opportunity …

Additive Combinatorics Problems Research Mathematics
Matroid Theory and its Applications in Electric Network Theory and in Statics
Published on: 1989
Beginner Mathematic Combinatorics English

I. The topics of this book The concept of a matroid has been known for more than five decades. Whitney …

matroid network theory applications statics
Methods of Mathematical Economics: Linear and Nonlinear Programming, Fixed-Point Theorems
Published on: 1980
Beginner Mathematic Combinatorics English

In 1924 the firm of Julius Springer published the first volume of Methods of Mathematical Physics by Richard Courant and …

Linear programming Nonlinear programming Fixed-point theorems Mathematical economics Optimization
Permutation patterns
Published on: 2010
Beginner Mathematic Combinatorics English

Permutation patterns is a thriving area of combinatorics that relates to many other areas of mathematics, including graph theory, enumerative …

Combinatorics Patterns Sequences Mathematics Algorithms
Random Walks in the Quarter Plane: Algebraic Methods, Boundary Value Problems, Applications to Queueing Systems and Analytic Combinatorics
Published on: 2017
Beginner Mathematic Combinatorics English

This monograph aims to promote original mathematical methods to determine the invariant measure of two-dimensional random walks in domains with …

Algebraic Methods Boundary Value Queueing Systems Analytic Combinatorics Random Walks
Combinatorics 1: The art of counting [Lecture notes]
Published on: 2014
Beginner Mathematic Combinatorics English

Counting Permutations Combinatorial Techniques Mathematics
离散数学: 基础与提高 = Discrete mathematics: elementary and beyond
Published on: 2006
Beginner Mathematic Combinatorics English

Combinatorics GraphTheory Induction Algorithms Logic
Handbook of combinatorial optimization Suppl. B
Published on: 2005
Beginner Mathematic Combinatorics English

Algorithms Complexity Graphs Heuristics Applications
Winning Ways for Your Mathematical Plays, Vol. 4
Published on: 2004
Beginner Mathematic Combinatorics English

Математические игры , том 4 и заключительный.In the quarter of a century since three mathematicians and game theorists collaborated to …

Combinatorial Games Mathematics Strategies Algorithms
Combinatorial Problems and Exercises
Published on: 1993
Beginner Mathematic Combinatorics English

The aim of this book is to introduce a range of combinatorial methods for those who want to apply these …

combinatorics exercises mathematics problem-solving graph theory
A course in combinatorics
Published on: 2001
Beginner Mathematic Combinatorics English

I am a lover of combinatorics, and I have read quite a few on the topic. This one is as …

Combinatorics Graph Theory Design Theory Enumeration Optimization
Graphical Enumeration
Published on: 1973
Beginner Mathematic Combinatorics English

Combinatorics Graphs Enumeration Polynomials Algorithms
Combinatorics and Finite Fields: Difference Sets, Polynomials, Pseudorandomness and Applications
Published on: 2019
Beginner Mathematic Combinatorics English

This book contains survey articles based on some invited lectures of the workshop Pseudo-Randomness and Finite Fields (October 15–19, 2018) …

Combinatorics Finite Fields Difference Sets Polynomials Pseudorandomness
Internal-Combustion Engine in Theory and Practice, Volume 2 - Combustion, Fuels, Materials, Design
Published on: 1985
Beginner Mathematic Combinatorics English

This revised edition of the author's classic work on the internal-combustion engine incorporates changes and additions in engine design and …

Combustion Fuels Materials Design Performance
Mathematical Structures for Computer Science: A Modern Treatment of Discrete Mathematics
Published on: 2002
Beginner Mathematic Combinatorics English

New edition of the classic discrete mathematics text for computer science majors.

Discrete Mathematics Algorithms Graph Theory Combinatorics Logic
Discrete Mathematics and Its Applications Instructor Resource Guide
Published on: 2003
Beginner Mathematic Combinatorics English

Discrete Mathematics and its Applications is a focused introduction to the primary themes in a discrete mathematics course, as introduced …

Mathematics Applications Instructor Resource Guide
Winning Ways for Your Mathematical Plays, Volume 4
Published on: 2004
Beginner Mathematic Combinatorics English

In the quarter of a century since three mathematicians and game theorists collaborated to create Winning Ways for Your Mathematical …

Games Strategy Mathematics Analysis Combinatorial
Computer science with Mathematica: theory and practice for science, mathematics, and engineering
Published on: 2000
Beginner Mathematic Combinatorics English

Computer algebra systems have revolutionized the use of computers within mathematics research, and are currently extending that revolution to the …

Mathematica Theory Practice Algorithms Engineering
generatingfunctionology: Third Edition
Published on: 2005
Beginner Mathematic Combinatorics English

Generating functions, one of the most important tools in enumerative combinatorics, are a bridge between discrete mathematics and continuous analysis. …

Generating Functions Combinatorics Mathematical Tools Series Transformations
Geometric Singular Perturbation Theory Beyond the Standard Form
Published on: 2020
Beginner Mathematic Combinatorics English

This volume provides a comprehensive review of multiple-scale dynamical systems. Mathematical models of such multiple-scale systems are considered singular perturbation …

Singularities Perturbation Dynamics Geometry Asymptotics

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ترکیبیات در ریاضیات: دنیای شگفت‌انگیز الگوها و شمارش

شاخه‌ای از ریاضیات که با شمارش، آرایش و ترکیب سروکار دارد

ترکیبیات شاخه‌ای بنیادین در علم ریاضیات است که به مطالعه روش‌ها و اصول مربوط به شمارش، انتخاب و ترتیب می‌پردازد. این شاخه که ریشه‌های تاریخی در حل معماها و مسائل مربوط به طبقه‌بندی و ترتیب اشیاء دارد، همچنان یکی از پویاترین و کاربردی‌ترین حوزه‌های ریاضی بوده و همچنان به توسعه و گسترش خود ادامه می‌دهد.

تاریخچه و تکامل ترکیبیات

ترکیبیات به عنوان یک حوزه مستقل از ریاضیات، قدمتی طولانی دارد. از زمان‌های باستان، ریاضیدانان به دنبال راه‌هایی برای شمارش و ترتیب اشیاء بودند. در دوران مدرن، ترکیبیات به لطف توسعه رایانه‌ها و کاربردهای گسترده در علم داده‌ها، هوش مصنوعی، و بهینه‌سازی، تحولات عظیمی را تجربه کرده است.

کاربردهای ترکیبیات در دنیای امروز

ترکیبیات نقش برجسته‌ای در بسیاری از علوم و فناوری‌های معاصر ایفا می‌کند. از طراحی الگوریتم‌های پیچیده در علوم کامپیوتر گرفته تا حل و بهینه‌سازی مسائل مهندسی، ترکیبیات ابزارهایی قدرتمند و ضروری ارائه می‌دهد. علاوه بر این، در علوم زیستی، فیزیک، اقتصاد و دیگر رشته‌ها نیز کاربرد گسترده‌ای دارد، جایی که تحلیل و مدل‌سازی مجموعه‌های بزرگ و پیچیده بسیار اهمیت پیدا می‌کند.

زیرشاخه‌ها و مباحث کلیدی در ترکیبیات

ترکیبیات شامل چندین زیرشاخه و بحث مهم است که هر یک کاربردها و اهداف خاص خود را دنبال می‌کنند. از جمله مهم‌ترین این مباحث می‌توان به ترکیب‌پذیری، ترکیب‌ها، جایگشت‌ها، اصول احتیاط، طراحی و تحلیل شبکه‌ها و نمودارها اشاره کرد. مطالعه این مباحث به درک بهتر و جامع‌تر از چگونگی سازماندهی و شمارش ساختارهای پیچیده منجر می‌شود.

کتاب‌های مهم و منابع آموزشی

در فروشگاه آنلاین کتاب Refhub.ir، مجموعه‌ای ارزشمند از کتاب‌های تخصصی در زمینه ترکیبیات ارائه شده است. این کتاب‌ها از منابع مقدماتی که به اصول و مبانی این حوزه می‌پردازند، تا کتاب‌های پیشرفته که به تحلیل‌های دقیق‌تر و مباحث پیچیده‌تر تأکید دارند، متنوع و جامع هستند. با انتخاب کتاب‌های مناسب بر اساس سطح دانش و نیازهای خود، می‌توانید بر مفاهیم ترکیبیات مسلط شوید و از کاربردهای گسترده آن در پروژه‌های علمی و صنعتی بهره‌مند شوید.

چرا ترکیبیات مهم است؟

درک و تسلط بر ترکیبیات نه تنها برای دانشجویان و پژوهشگران رشته ریاضیات بلکه برای هر فردی که با مسائل پیچیده و داده‌های بزرگ سر و کار دارد، ضروری است. این امر به دلیل توانایی ترکیبیات در ارائه روش‌های کارآمد برای حل مسائل و انتخاب‌های درست در موقعیت‌های مختلف است. یادگیری ترکیبیات به توسعه توانایی‌های تفکر منطقی و تحلیلی کمک کرده و می‌تواند در تفوق بر چالش‌های علمی و عملی زندگی روزمره موثر باشد.

چگونه شروع کنیم؟

با انتخاب یک نقطه شروع مناسب و تدوین برنامه‌ریزی و بهره‌گیری از کتاب‌های معتبر و منابع آموزشی موثق، می‌توانید سفری بی‌نظیر به دنیای ترکیبیات را آغاز کنید. این حوزه دارای عمق و گستردگی بسیاری است و با پیشرفت مهارت‌ها و آگاهی از کاربردهای آن، توانایی حل مسائل پیچیده و بهره‌گیری از تفکر نوآورانه را در خود پرورش خواهید داد.