Handbook Of Mathematical Induction

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Handbook of Mathematical Induction

David S. Gunderson
Handbook of Mathematical Induction Book PDF

Author : David S. Gunderson
Publisher : Chapman & Hall/CRC
Page : 921 pages
File Size : 49,8 Mb
Release : 2016-11-16
Category : Induction (Mathematics)
ISBN : 113819901X

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Handbook of Mathematical Induction by David S. Gunderson Pdf

Handbook of Mathematical Induction: Theory and Applications shows how to find and write proofs via mathematical induction. This comprehensive book covers the theory, the structure of the written proof, all standard exercises, and hundreds of application examples from nearly every area of mathematics. In the first part of the book, the author discusses different inductive techniques, including well-ordered sets, basic mathematical induction, strong induction, double induction, infinite descent, downward induction, and several variants. He then introduces ordinals and cardinals, transfinite induction, the axiom of choice, Zorn's lemma, empirical induction, and fallacies and induction. He also explains how to write inductive proofs. The next part contains more than 750 exercises that highlight the levels of difficulty of an inductive proof, the variety of inductive techniques available, and the scope of results provable by mathematical induction. Each self-contained chapter in this section includes the necessary definitions, theory, and notation and covers a range of theorems and problems, from fundamental to very specialized. The final part presents either solutions or hints to the exercises. Slightly longer than what is found in most texts, these solutions provide complete details for every step of the problem-solving process.

Handbook of Mathematical Induction

David S. Gunderson
Handbook of Mathematical Induction Book PDF

Author : David S. Gunderson
Publisher : CRC Press
Page : 894 pages
File Size : 53,6 Mb
Release : 2014-01-09
Category : Computers
ISBN : 9781420093650

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Handbook of Mathematical Induction by David S. Gunderson Pdf

Handbook of Mathematical Induction: Theory and Applications shows how to find and write proofs via mathematical induction. This comprehensive book covers the theory, the structure of the written proof, all standard exercises, and hundreds of application examples from nearly every area of mathematics.In the first part of the book, the author discuss

The Induction Book

Steven H. Weintraub
The Induction Book Book PDF

Author : Steven H. Weintraub
Publisher : Courier Dover Publications
Page : 129 pages
File Size : 51,9 Mb
Release : 2017-05-17
Category : Mathematics
ISBN : 9780486811994

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The Induction Book by Steven H. Weintraub Pdf

Every mathematician and student of mathematics needs a familiarity with mathematical induction. This volume provides advanced undergraduates and graduate students with an introduction and a thorough exposure to these proof techniques. 2017 edition.

Handbook Mathematics

Arihant Experts
Handbook Mathematics Book PDF

Author : Arihant Experts
Publisher : Arihant Publications India limited
Page : 466 pages
File Size : 49,5 Mb
Release : 2019-07-06
Category : Study Aids
ISBN : 9313196506

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Handbook Mathematics by Arihant Experts Pdf

Mathematics of higher level has too many theories, rules and remembering all of them on tips all the time is not an easy task. Handbook of Mathematics is an important, useful and compact reference book suitable for everyday study, problem solving or exam revision for class XI – XII. This book is a multi-purpose quick revision resource that contains almost all key notes, terms, definitions and formulae that all students & professionals in mathematics will want to have this essential reference book within easy reach. Its unique format displays formulae clearly, places them in the context and crisply identifies describes all the variables involved, summary about every equations and formula that one might want while learning mathematics is one of the unique features of the book, a stimulating and crisp extract of fundamental mathematics is to be enjoyed by the beginners and experts equally. The book is best-selling from its first edition and one of the most useful books of its type. Table of content Sets, Relations and Binary Operations, Complex Numbers, Quadratic Equations and Inequalities, Sequences and Series, Permutation and Combinations, Binomial Theorem and Mathematical Induction, Matrices, Determinant, Probability, Trigonometric Functions, Inverse Trigonometric Functions, Solution of Triangles, Heights and Distances, Rectangular Axis and Straight Lines, Circles, Parabola, Ellipse, Hyperbola, Functions, Limits, Continuity and Differentiability, Derivatives, Applications of Derivatives, Indefinite Integrals, Definite Integrals, Applications of Integrations, Differential Equations, Vectors, Three Dimensional Geometry, Statistics, Mathematical Reasoning and Boolean Algebra, Numerical Method, Linear Programming Problem, Computing, Group Theory, Elementary Arithmetic-I, Elementary Arithmetic-II, Percentage and Its Applications, Elementary Algebra, Logarithm, Geometry, Mensuration.

Proofs from THE BOOK

Martin Aigner,Günter M. Ziegler
Proofs from THE BOOK Book PDF

Author : Martin Aigner,Günter M. Ziegler
Publisher : Springer Science & Business Media
Page : 194 pages
File Size : 54,6 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9783662223437

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Proofs from THE BOOK by Martin Aigner,Günter M. Ziegler Pdf

According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.

Mathematical Induction

Titu Andreescu,Vlad Crisan
Mathematical Induction Book PDF

Author : Titu Andreescu,Vlad Crisan
Publisher : Unknown
Page : 432 pages
File Size : 42,8 Mb
Release : 2017-03-15
Category : Induction (Mathematics)
ISBN : 0996874593

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Mathematical Induction by Titu Andreescu,Vlad Crisan Pdf

This book serves as a very good resource and teaching material for anyone who wants to discover the beauty of Induction and its applications, from novice mathematicians to Olympiad-driven students and professors teaching undergraduate courses. The authors explore 10 different areas of mathematics, including topics that are not usually discussed in an Olympiad-oriented book on the subject. Induction is one of the most important techniques used in competitions and its applications permeate almost every area of mathematics.

Book of Proof

Richard H. Hammack
Book of Proof Book PDF

Author : Richard H. Hammack
Publisher : Unknown
Page : 314 pages
File Size : 52,7 Mb
Release : 2016-01-01
Category : Mathematics
ISBN : 0989472116

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Book of Proof by Richard H. Hammack Pdf

This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.

How to Prove It

Daniel J. Velleman
How to Prove It Book PDF

Author : Daniel J. Velleman
Publisher : Cambridge University Press
Page : 401 pages
File Size : 45,8 Mb
Release : 2006-01-16
Category : Mathematics
ISBN : 9780521861243

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How to Prove It by Daniel J. Velleman Pdf

This new edition of Daniel J. Velleman's successful textbook contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software.

Oswaal Handbook Mathematics Classes 11 & 12 All Leading Competitive Exams (New & Updated)

Oswaal Editorial Board
Oswaal Handbook Mathematics Classes 11 12 All Leading Competitive Exams New Updated Book PDF

Author : Oswaal Editorial Board
Publisher : Oswaal Books and Learning Private Limited
Page : 243 pages
File Size : 54,8 Mb
Release : 2023-03-11
Category : Study Aids
ISBN : 9789389510201

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Oswaal Handbook Mathematics Classes 11 & 12 All Leading Competitive Exams (New & Updated) by Oswaal Editorial Board Pdf

Description of the product: • Oswaal Topper’s Handbooks Classes 11 & 12 • Tips to crack various entrance exams • Study Material for in-depth learning • Mind Maps for concept clarity • Real time videos for hybrid learning • Appendix for enhancement of knowledge • Revision Notes for quick revision • Commonly Made Errors to polish concepts

An Introduction to Proof Theory

Paolo Mancosu,Sergio Galvan,Richard Zach
An Introduction to Proof Theory Book PDF

Author : Paolo Mancosu,Sergio Galvan,Richard Zach
Publisher : Oxford University Press
Page : 431 pages
File Size : 40,7 Mb
Release : 2021
Category : Philosophy
ISBN : 9780192895936

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An Introduction to Proof Theory by Paolo Mancosu,Sergio Galvan,Richard Zach Pdf

An Introduction to Proof Theory provides an accessible introduction to the theory of proofs, with details of proofs worked out and examples and exercises to aid the reader's understanding. It also serves as a companion to reading the original pathbreaking articles by Gerhard Gentzen. The first half covers topics in structural proof theory, including the Gödel-Gentzen translation of classical into intuitionistic logic (and arithmetic), natural deduction and the normalization theorems (for both NJ and NK), the sequent calculus, including cut-elimination and mid-sequent theorems, and various applications of these results. The second half examines ordinal proof theory, specifically Gentzen's consistency proof for first-order Peano Arithmetic. The theory of ordinal notations and other elements of ordinal theory are developed from scratch, and no knowledge of set theory is presumed. The proof methods needed to establish proof-theoretic results, especially proof by induction, are introduced in stages throughout the text. Mancosu, Galvan, and Zach's introduction will provide a solid foundation for those looking to understand this central area of mathematical logic and the philosophy of mathematics.

Concise Handbook of Mathematics and Physics

Alexander G. Alenitsyn,Eugene I. Butikov,Alexander S. Kondratyev
Concise Handbook of Mathematics and Physics Book PDF

Author : Alexander G. Alenitsyn,Eugene I. Butikov,Alexander S. Kondratyev
Publisher : CRC Press
Page : 521 pages
File Size : 55,5 Mb
Release : 2020-12-17
Category : Mathematics
ISBN : 9781000122824

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Concise Handbook of Mathematics and Physics by Alexander G. Alenitsyn,Eugene I. Butikov,Alexander S. Kondratyev Pdf

Concise Handbook of Mathematics and Physics presents a unified and coherent treatment of all the major aspects of modern elementary physics and mathematics. This complete text/reference includes definitions of fundamental notations and physical and mathematical quantities, formulas that express the laws of physics, axioms and theorems of mathematics, and more. The information is organized logically (instead of alphabetically) for better comprehension and quick, convenient access. The book contains extensive cross-referencing between the mathematical and physical sections. reflecting the considerable overlap between these two areas of study and increasing the usefulness of this handbook. Fundamental concepts, theorems, and laws are demonstrated through numerous practical examples and tasks to help build problem-solving skills.

Handbook of Mathematics

Vialar Thierry
Handbook of Mathematics Book PDF

Author : Vialar Thierry
Publisher : BoD - Books on Demand
Page : 1134 pages
File Size : 47,6 Mb
Release : 2023-08-22
Category : Mathematics
ISBN : 9782955199053

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Handbook of Mathematics by Vialar Thierry Pdf

The book, revised, consists of XI Parts and 28 Chapters covering all areas of mathematics. It is a tool for students, scientists, engineers, students of many disciplines, teachers, professionals, writers and also for a general reader with an interest in mathematics and in science. It provides a wide range of mathematical concepts, definitions, propositions, theorems, proofs, examples, and numerous illustrations. The difficulty level can vary depending on chapters, and sustained attention will be required for some. The structure and list of Parts are quite classical: I. Foundations of Mathematics, II. Algebra, III. Number Theory, IV. Geometry, V. Analytic Geometry, VI. Topology, VII. Algebraic Topology, VIII. Analysis, IX. Category Theory, X. Probability and Statistics, XI. Applied Mathematics. Appendices provide useful lists of symbols and tables for ready reference. Extensive cross-references allow readers to find related terms, concepts and items (by page number, heading, and objet such as theorem, definition, example, etc.). The publisher’s hope is that this book, slightly revised and in a convenient format, will serve the needs of readers, be it for study, teaching, exploration, work, or research.

Mathematical Reasoning

Theodore A. Sundstrom
Mathematical Reasoning Book PDF

Author : Theodore A. Sundstrom
Publisher : Prentice Hall
Page : 0 pages
File Size : 50,9 Mb
Release : 2007
Category : Logic, Symbolic and mathematical
ISBN : 0131877186

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Mathematical Reasoning by Theodore A. Sundstrom Pdf

Focusing on the formal development of mathematics, this book shows readers how to read, understand, write, and construct mathematical proofs.Uses elementary number theory and congruence arithmetic throughout. Focuses on writing in mathematics. Reviews prior mathematical work with “Preview Activities” at the start of each section. Includes “Activities” throughout that relate to the material contained in each section. Focuses on Congruence Notation and Elementary Number Theorythroughout.For professionals in the sciences or engineering who need to brush up on their advanced mathematics skills. Mathematical Reasoning: Writing and Proof, 2/E Theodore Sundstrom

Handbook of Mathematical Logic

J. Barwise
Handbook of Mathematical Logic Book PDF

Author : J. Barwise
Publisher : Elsevier
Page : 1164 pages
File Size : 53,8 Mb
Release : 1982-03-01
Category : Computers
ISBN : 9780080933641

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Handbook of Mathematical Logic by J. Barwise Pdf

The handbook is divided into four parts: model theory, set theory, recursion theory and proof theory. Each of the four parts begins with a short guide to the chapters that follow. Each chapter is written for non-specialists in the field in question. Mathematicians will find that this book provides them with a unique opportunity to apprise themselves of developments in areas other than their own.

Handbook of Mathematical Formulas and Integrals

Alan Jeffrey
Handbook of Mathematical Formulas and Integrals Book PDF

Author : Alan Jeffrey
Publisher : Unknown
Page : 472 pages
File Size : 40,5 Mb
Release : 2000
Category : Mathematics
ISBN : UOM:39015050735797

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Handbook of Mathematical Formulas and Integrals by Alan Jeffrey Pdf

This Second Edition follows the original pattern of presenting of presenting the most frequently used integrals, mathematical formulas, and results in a form convenient for the user. The Handbook provides an essential reference work for students and researchers in applied mathematics, engineering, and physics. The most important formulas, functions, and results used in applications of mathematics are covered. New material includes proof by mathematical induction, properties of spherical Bessel functions, more detailed results on orthogonal polynomials, interpolation and Pade approximation, and a section on the z-transform. The original thumb-tab indexing has been retained, as it provides an easy reference system that supplements the contents listing and extensive index. Key Features * Comprehensive coverage of frequently used integrals, functions and fundamental mathematical results * contents selected and organized to suit the needs of students, scientists, and engineers * contains tables of Laplace and Fourier transform pairs * new section on numerical approximation * new section on the z-transform * easy reference system