Algebra Books
Atlantic Financial Press Interest Rate Modeling. Volume 3
Book Synopsis
£80.50
Cambridge University Press Modern Computer Algebra
Book SynopsisComputer algebra systems are now ubiquitous in all areas of science and engineering. This highly successful textbook, widely regarded as the 'bible of computer algebra', gives a thorough introduction to the algorithmic basis of the mathematical engine in computer algebra systems. Designed to accompany one- or two-semester courses for advanced undergraduate or graduate students in computer science or mathematics, its comprehensiveness and reliability has also made it an essential reference for professionals in the area. Special features include: detailed study of algorithms including time analysis; implementation reports on several topics; complete proofs of the mathematical underpinnings; and a wide variety of applications (among others, in chemistry, coding theory, cryptography, computational logic, and the design of calendars and musical scales). A great deal of historical information and illustration enlivens the text. In this third edition, errors have been corrected and much of thTrade ReviewReview of previous edition: 'Wow! What a beautifully produced book, and what a wealth of information.' Don Knuth, Stanford UniversityReview of previous edition: '… this lively and exciting volume represents the state of the art in textbooks on computer algebra. Every student and instructor in this area will want a copy.' Jeffrey O. Shallit, Mathematical Reviews'I find the quality of this book really exceptional …' Zentralblatt für Mathematik'This book is a delight: I heartily recommend it.' Alistair Fitt, London Mathematical Society Newsletter'On each page I can feel [the authors'] thorough understanding and love for the subject and [their] uncompromising scholarship in presenting this story. A masterpiece.' Erich Kaltofen, North Carolina State University'I predict it will be a major success.' Steve Cook, University of Toronto'It's really an impressive work. I'm sure it will become a reference for computer algebra algorithms, and stay it for a long time. Such a reference book was really missing.' Paul Zimmermann, Universite de Nancy, France'I think it's a most successful balance of intuition, rigorous mathematics, interesting and beautiful applications and completeness. The extensive collection of exercises makes it into an ideal textbook for the use in a graduate course.' Ton Levelt, Radboud University Nijmegen'I have to say that not only can one apply the book as a flexible textbook for many courses, but its comprehensiveness and clear style also make it an excellent reference text for computer science researchers and grad[uate] students, and anyone else interested in developing exact solution codes.' Alexander Tzanov, Computing Reviews'… a polished introduction to algorithms for performing algebraic operations on a computer … The book is almost as interesting for the advanced mathematics (mostly in ring and ideal theory and in linear algebra) that is needed to develop the algorithms. It assumes familiarity with the fundamentals of these topics, but does include a 25-page appendix summarizing the needed background. It is well-equipped with exercises, ranging from numerical practice to extensions and variants on results in the body.' Allen Stenger, MAA ReviewsTable of ContentsIntroduction; 1. Cyclohexane, cryptography, codes, and computer algebra; Part I. Euclid: 2. Fundamental algorithms; 3. The Euclidean Algorithm; 4. Applications of the Euclidean Algorithm; 5. Modular algorithms and interpolation; 6. The resultant and gcd computation; 7. Application: decoding BCH codes; Part II. Newton: 8. Fast multiplication; 9. Newton iteration; 10. Fast polynomial evaluation and interpolation; 11. Fast Euclidean Algorithm; 12. Fast linear algebra; 13. Fourier Transform and image compression; Part III. Gauß: 14. Factoring polynomials over finite fields; 15. Hensel lifting and factoring polynomials; 16. Short vectors in lattices; 17. Applications of basis reduction; Part IV. Fermat: 18. Primality testing; 19. Factoring integers; 20. Application: public key cryptography; Part V. Hilbert: 21. Gröbner bases; 22. Symbolic integration; 23. Symbolic summation; 24. Applications; Appendix: 25. Fundamental concepts; Sources of illustrations; Sources of quotations; List of algorithms; List of figures and tables; References; List of notation; Index.
£107.00
John Wiley & Sons Inc Galois Theory 2e
Book SynopsisPraise for the First Edition . . .will certainly fascinate anyone interested in abstract algebra: a remarkable book! Monatshefte fur Mathematik Galois theory is one of the most established topics in mathematics, with historical roots that led to the development of many central concepts in modern algebra, including groups and fields. Covering classic applications of the theory, such as solvability by radicals, geometric constructions, and finite fields, Galois Theory, Second Edition delves into novel topics like Abel's theory of Abelian equations, casus irreducibili, and the Galois theory of origami. In addition, this book features detailed treatments of several topics not covered in standard texts on Galois theory, including: The contributions of Lagrange, Galois, and Kronecker How to compute Galois groups Galois''s results about irreducible polynomials of prime orprime-squared degreTrade Review “There is barely a better introduction to the subject, in all its theoretical and practical aspects, than the book under review.” (Zentralblatt MATH, 1 December 2012)"the great merit of this book (one of many expositions of the subject) is that everything is taken at a slow pace, with many examples to illustrate every idea. You get the (probably true) impression that the author loves this material, has taught it to undergraduates at Amherst College many times, has learned by experience the ideas which students find difficult, and has then taken great trouble to dissect these ideas and to pick out exactly the right examples and exercises to make them part of the reader’s mental equipment." (The Mathematical Gazette 2016) Table of Contents Preface to the First Edition xvii Preface to the Second Edition xxi Notation xxiii 1 Basic Notation xxiii 2 Chapter-by-Chapter Notation xxv PART I POLYNOMIALS 1 Cubic Equations 3 1.1 Cardan's Formulas 4 1.2 Permutations of the Roots 10 1.3 Cubic Equations over the Real Numbers 15 2 Symmetric Polynomials 25 2.1 Polynomials of Several Variables 25 2.2 Symmetric Polynomials 30 2.3 Computing with Symmetric Polynomials (Optional) 42 2.4 The Discriminant 46 3 Roots of Polynomials 55 3.1 The Existence of Roots 55 3.2 The Fundamental Theorem of Algebra 62 PART II FIELDS 4 Extension Fields 73 4.1 Elements of Extension Fields 73 4.2 Irreducible Polynomials 81 4.3 The Degree of an Extension 89 4.4 Algebraic Extensions 95 5 Normal and Separable Extensions 101 5.1 Splitting Fields 101 5.2 Normal Extensions 107 5.3 Separable Extensions 109 5.4 Theorem of the Primitive Element 119 6 The Galois Group 125 6.1 Definition of the Galois Group 125 6.2 Galois Groups of Splitting Fields 130 6.3 Permutations of the Roots 132 6.4 Examples of Galois Groups 136 6.5 Abelian Equations (Optional) 143 7 The Galois Correspondence 147 7.1 Galois Extensions 147 7.2 Normal Subgroups and Normal Extensions 154 7.3 The Fundamental Theorem of Galois Theory 161 7.4 First Applications 167 7.5 Automorphisms and Geometry (Optional) 173 PART III APPLICATIONS 8 Solvability by Radicals 191 8.1 Solvable Groups 191 8.2 Radical and Solvable Extensions 196 8.3 Solvable Extensions and Solvable Groups 201 8.4 Simple Groups 210 8.5 Solving Polynomials by Radicals 215 8.6 The Casus Irreducbilis (Optional) 220 9 Cyclotomic Extensions 229 9.1 Cyclotomic Polynomials 229 9.2 Gauss and Roots of Unity (Optional) 238 10 Geometric Constructions 255 10.1 Constructible Numbers 255 10.2 Regular Polygons and Roots of Unity 270 10.3 Origami (Optional) 274 11 Finite Fields 291 11.1 The Structure of Finite Fields 291 11.2 Irreducible Polynomials over Finite Fields (Optional) 301 PART IV FURTHER TOPICS 12 Lagrange, Galois, and Kronecker 315 12.1 Lagrange 315 12.2 Galois 334 12.3 Kronecker 347 13 Computing Galois Groups 357 13.1 Quartic Polynomials 357 13.2 Quintic Polynomials 368 13.3 Resolvents 386 13.4 Other Methods 400 14 Solvable Permutation Groups 413 14.1 Polynomials of Prime Degree 413 14.2 Imprimitive Polynomials of Prime-Squared Degree 419 14.3 Primitive Permutation Groups 429 14.4 Primitive Polynomials of Prime-Squared Degree 444 15 The Lemniscate 463 15.1 Division Points and Arc Length 464 15.2 The Lemniscatic Function 470 15.3 The Complex Lemniscatic Function 482 15.4 Complex Multiplication 489 15.5 Abel's Theorem 504 A Abstract Algebra 515 A.1 Basic Algebra 515 A.2 Complex Numbers 524 A.3 Polynomials with Rational Coefficients 528 A.4 Group Actions 530 A.5 More Algebra 532 Index 557
£59.36
Pearson Education Limited Linear Algebra
Book SynopsisTable of Contents 1. Vectors, Matrices, and Linear Systems. Vectors in Euclidean Spaces. The Norm and the Dot Product. Matrices and Their Algebra. Solving Systems of Linear Equations. Inverses of Square Matrices. Homogeneous Systems, Subspaces, and Bases. Application to Population Distribution (Optional). Application to Binary Linear Codes (Optional). 2. Dimension, Rank, and Linear Transformations. Independence and Dimension. The Rank of a Matrix. Linear Transformations of Euclidean Spaces. Linear Transformations of the Plane (Optional). Lines, Planes, and Other Flats (Optional). 3. Vector Spaces. Vector Spaces. Basic Concepts of Vector Spaces. Coordinatization of Vectors. Linear Transformations. Inner-Product Spaces (Optional). 4. Determinants. Areas, Volumes, and Cross Products. The Determinant of a Square Matrix. Computation of Determinants and Cramer's Rule. Linear Transformations and Determinants (Optional). 5. Eigenvalues and Eigenvectors. Eigenvalues and Eigenvectors. Diagonalization. Two Applications. 6. Orthogonality. Projections. The Gram-Schmidt Process. Orthogonal Matrices. The Projection Matrix. The Method of Least Squares. 7. Change of Basis. Coordinatization and Change of Basis. Matrix Representations and Similarity. 8. Eigenvalues: Further Applications and Computations. Diagonalization of Quadratic Forms. Applications to Geometry. Applications to Extrema. Computing Eigenvalues and Eigenvectors. 9. Complex Scalars. Algebra of Complex Numbers. Matrices and Vector Spaces with Complex Scalars. Eigenvalues and Diagonalization. Jordan Canonical Form. 10. Solving Large Linear Systems. Considerations of Time. The LU-Factorization. Pivoting, Scaling, and Ill-Conditioned Matrices. Appendices. Mathematical Induction. Two Deferred Proofs. LINTEK Routines. MATLAB Procedures and Commands Used in the Exercises. Appendices.
£65.54
New Age International (UK) Ltd Higher Algebra
Book Synopsis
£42.75
Upfront Publishing I Will Tell You Algebra Stories You'Ve Never
Book SynopsisIn this work Zoltan Paul Dienes enlivens the world of algebra and examines some of the mysteries of mathematical constructions in a new and exciting fashion. Step by step, equation by equation, diagram by diagram, he strips away all the unintelligible jargon and brings each task and problem to life. If algebra lessons were viewed with dread at school, this is the book to make you reconsider. The informal style, clear diagrams and comprehensive explanations make understanding easy, while innovative games and intriguing puzzles ensure that learning is no longer a chore but a pleasure. Although predominantly aimed at those already equipped with basic algebra skills, beginners and experts alike will find much to interest and test them.
£13.26
Springer Nature Switzerland AG Skew PBW Extensions: Ring and Module-theoretic
Book SynopsisThis monograph is devoted to a new class of non-commutative rings, skew Poincaré–Birkhoff–Witt (PBW) extensions. Beginning with the basic definitions and ring-module theoretic/homological properties, it goes on to investigate finitely generated projective modules over skew PBW extensions from a matrix point of view. To make this theory constructive, the theory of Gröbner bases of left (right) ideals and modules for bijective skew PBW extensions is developed. For example, syzygies and the Ext and Tor modules over these rings are computed. Finally, applications to some key topics in the noncommutative algebraic geometry of quantum algebras are given, including an investigation of semi-graded Koszul algebras and semi-graded Artin–Schelter regular algebras, and the noncommutative Zariski cancellation problem. The book is addressed to researchers in noncommutative algebra and algebraic geometry as well as to graduate students and advanced undergraduate students.Trade Review“The text under review attempts to summarize the breadth of research on skew PBW extensions since that initial paper. … Readers familiar with the area of skew PBW extensions may find this book a convenient reference.” (Jason Gaddis, Mathematical Reviews, June, 2023)“This very well-written book … . there are a few new techniques and approaches in the book via which the authors attack successfully the proofs of some classical results from this branch. Besides, certain innovations in the presentation of some specific moments in the subject are also demonstrated.” (Peter Danchev, zbMATH 1489.16002, 2022)Table of ContentsPreface.- I Ring and Module-Theoretic Properties of Skew PBW Extensions.- II Projective Modules Over Skew PBW Extensions.- III Matrix and Gröbner Methods for Skew PBW Extensions.- IV Applications: The Noncommutative AlgebraicGeometry of Skew PBW Extensions.- References.
£999.99
Pearson Education (US) Algebra for College Students
Book SynopsisAbout our authors The late Marge Lial was always interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, was affiliated with American River College. An avid reader and traveler, her travel experiences often found their way into her books as applications, exercise sets, and feature sets. Her interest in archeology led to trips to various digs and ruin sites, producing some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan. When John Hornsby enrolled as an undergraduate at Louisiana State University, he was uncertain whether he wanted to study mathematics education or journalism. His ultimate decision was to become a teacher, but after 25 years of teaching at the high school and university levels and 15 years of writing mathematics textbooks, both of his goals have been realized. His love for both teaching and for mathematics is evident in his passion for working with students and fellow teachers as well. His specific professional interests are recreational mathematics, mathematics history, and incorporating graphing calculators into the curriculum. John's personal life is busy as he devotes time to his family (wife Gwen, and sons Chris, Jack, and Josh), and has been an avid baseball fan all of his life. John's other hobbies include numismatics (the study of coins) and record collecting. He loves the music of the 1960s and has an extensive collection of the recorded works of Frankie Valli and the Four Seasons. A native Midwesterner, Terry McGinnis received her Bachelor's of Science in Elementary Education with a concentration in Mathematics from Iowa State University. She has taught elementary and middle school mathematics and developed and implemented the curriculum used with her students. Terry has been involved in college mathematics publishing for over 20 years, working with a variety of authors on textbooks in both developmental mathematics and precalculus. After working behind the scenes on many of the Lial/Hornsby textbooks and supplements for over 10 years, Terry joined Margaret Lial and John Hornsby in 2002 as coauthor of their developmental mathematics series. When not working, Terry enjoys spinning at a local health club, walking, and reading fiction. She is the devoted mother of 2 sons, Andrew and Tyler.Table of ContentsTable of Contents Study Skill 1: Using Your Math Text Study Skill 2: Reading Your Math Text Study Skill 3: Taking Lecture Notes Study Skill 4: Completing Your Homework Study Skill 5: Using Study Cards Study Skill 6: Managing Your Time Study Skill 7: Reviewing a Chapter Study Skill 8: Taking Math Tests Study Skill 9: Analyzing Your Test Results Study Skill 10: Preparing for Your Math Final Review of the Real Number System R.1 Fractions, Decimals, and Percents R.2 Basic Concepts from Algebra R.3 Operations on Real Numbers R.3 Exponents, Roots, and Order of Operations R.4 Properties of Real Numbers Chapter R Summary Chapter R Test Linear Equations, Inequalities, and Applications 1.1 Linear Equations in One Variable 1.2 Formulas and Percent 1.3 Applications of Linear Equations 1.4 Further Applications of Linear Equations Summary Exercises: Applying Problem-Solving Techniques 1.5 Linear Inequalities in One Variable 1.6 Set Operations and Compound Inequalities 1.7 Absolute Value Equations and Inequalities Summary Exercises: Solving Linear and Absolute Value Equations and Inequalities Study Skills: Reviewing a Chapter Chapter 1 Summary Chapter 1 Review Exercises Chapter 1 Mixed Review Exercises Chapter 1 Test Chapters R and 1 Cumulative Review Exercises Linear Equations, Graphs, and Functions 2.1 Linear Equations in Two Variables 2.2 The Slope of a Line 2.3 Writing Equations of Lines Summary Exercises: Finding Slopes and Equations of Lines 2.4 Linear Inequalities in Two Variables 2.5 Introduction to Relations and Functions 2.6 Function Notation and Linear Functions Chapter 2 Summary Chapter 2 Review Exercises Chapter 2 Mixed Review Exercises Chapter 2 Test Chapters R—2 Cumulative Review Exercises Systems of Linear Equations 3.1 Systems of Linear Equations in Two Variables 3.2 Systems of Linear Equations in Three Variables 3.3 Applications of Systems of Linear Equations Chapter 3 Summary Chapter 3 Review Exercises Chapter 3 Mixed Review Exercises Chapter 3 Test Chapters R–3 Cumulative Review Exercises Exponents, Polynomials, and Polynomial Functions 4.1 Integer Exponents and Scientific Notation 4.2 Adding and Subtracting Polynomials 4.3 Polynomial Functions, Graphs, and Composition 4.4 Multiplying Polynomials 4.5 Dividing Polynomials Chapter 4 Summary Chapter 4 Review Exercises Chapter 4 Mixed Review Exercises Chapter 4 Test Chapters R–4 Cumulative Review Exercises Factoring 5.1 Greatest Common Factors and Factoring by Grouping 5.2 Factoring Trinomials 5.3 Special Factoring 5.4 A General Approach to Factoring 5.5 Solving Equations by the Zero-Factor Property Chapter 5 Summary Chapter 5 Review Exercises Chapter 5 Mixed Review Exercises Chapter 5 Test Chapters R–5 Cumulative Review Exercises Rational Expressions and Functions 6.1 Rational Expressions and Functions; Multiplying and Dividing 6.2 Adding and Subtracting Rational Expressions 6.3 Complex Fractions 6.4 Equations with Rational Expressions and Graphs Summary Exercises: Simplifying Rational Expressions vs. Solving Rational Equations 6.5 Applications of Rational Expressions 6.6 Variation Chapter 6 Summary Chapter 6 Review Exercises Chapter 6 Mixed Review Exercises Chapter 6 Test Chapters R–6 Cumulative Review Exercises Roots, Radicals, and Root Functions 7.1 Radical Expressions and Graphs 7.2 Rational Exponents 7.3 Simplifying Radicals, the Distance Formula, and Circles 7.4 Adding and Subtracting Radical Expressions 7.5 Multiplying and Dividing Radical Expressions Summary Exercises: Performing Operations with Radicals and Rational Exponents 7.6 Solving Equations with Radicals 7.7 Complex Numbers Chapter 7 Summary Chapter 7 Review Exercises Chapter 7 Mixed Review Exercises Chapter 7 Test Chapters R–7 Cumulative Review Exercises Quadratic Equations and Inequalities 8.1 The Square Root Property and Completing the Square 8.2 The Quadratic Formula 8.3 Equations That Lead to Quadratic Methods Summary Exercises: Applying Methods for Solving Quadratic Equations 8.4 Formulas and Further Applications 8.5 Polynomial and Rational Inequalities Chapter 8 Summary Chapter 8 Review Exercises Chapter 8 Mixed Review Exercises Chapter 8 Test Chapters R–8 Cumulative Review Exercises Additional Graphs of Functions and Relations 9.1 Review of Operations and Composition 9.2 Graphs of Quadratic Functions 9.3 More About Parabolas and Their Applications 9.4 Symmetry; Increasing and Decreasing Functions 9.5 Piecewise Linear Functions Chapter 9 Summary Chapter 9 Review Exercises Chapter 9 Mixed Review Exercises Chapter 9 Test Chapters R–9 Cumulative Review Exercises Inverse, Exponential, and Logarithmic Functions 10.1 Inverse Functions 10.2 Exponential Functions 10.3 Logarithmic Functions 10.4 Properties of Logarithms 10.5 Common and Natural Logarithms 10.6 Exponential and Logarithmic Equations; Further Applications Chapter 10 Summary Chapter 10 Review Exercises Chapter 10 Mixed Review Exercises Chapter 10 Test Chapters R–10 Cumulative Review Exercises Polynomial and Rational Functions 11.1 Zeros of Polynomial Functions (I) 11.2 Zeros of Polynomial Functions (II) 11.3 Graphs and Applications of Polynomial Functions Summary Exercises: Examining Polynomial Functions and Graphs 11.4 Graphs and Applications of Rational Functions Chapter 11 Summary Chapter 11 Review Exercises Chapter 11 Mixed Review Exercises Chapter 11 Test Chapters R–11 Cumulative Review Exercises Conic Sections and Nonlinear Systems 12.1 Circles Revisited and Ellipses 12.2 Hyperbolas and Functions Defined by Radicals 12.3 Nonlinear Systems of Equations 12.4 Second-Degree Inequalities, Systems of Inequalities, and Linear Programming Chapter 12 Summary Chapter 12 Review Exercises Chapter 12 Mixed Review Exercises Chapter 12 Test Chapters R–12 Cumulative Review Exercises Further Topics in Algebra 13.1 Sequences and Series 13.2 Arithmetic Sequences 13.3 Geometric Sequences 13.4 The Binomial Theorem 13.5 Mathematical Induction 13.6 Counting Theory 13.7 Basics of Probability Chapter 13 Summary Chapter 13 Review Exercises Chapter 13 Mixed Review Exercises Chapter 13 Test Chapters R–13 Cumulative Review Exercises Appendix A: Solving Systems of Linear Equations by Matrix Methods Appendix B: Determinants and Cramer’s Rule Appendix C: Properties of Matrices Appendix D: Matrix Inverses Photo Credits Answers to Selected Exercises Index
£228.78
Applied Calculus
Book SynopsisDiscover the relevance of mathematics in your own life as you master important concepts and skills in Waner/Costenoble's APPLIED CALCULUS, 8th Edition. Updated, numerous examples and applications use real data from well-known businesses, current economic and life events -- from cryptocurrency to COVID -- to demonstrate how the principles you are learning impact you. Readable, streamlined content clearly presents concepts while numerous learning features and tools help you review and practice. Spreadsheet and TI graphing calculator instructions appear where needed. In addition, WebAssign online tools and an interactive eTextbook include teaching videos by an award-winning instructor. You can refine your skills in the necessary math prerequisites with additional examples and powerful adaptive practice sessions. A helpful website from the authors also offers online tutorials and videos on every topic to support your learning, no matter what your learning style.Table of Contents0. PRECALCULUS REVIEW. Real Numbers. Exponents and Radicals. Using Exponent Identities Multiplying and Factoring Algebraic Equations. Rational Expressions. Solving Polynomial Equations. Solving Miscellaneous Equations. The Coordinate Plane. Logarithms. 1. FUNCTIONS AND APPLICATIONS. Functions from the Numerical, Algebraic, and Graphical Viewpoints. Functions and Models. Linear Functions and Models. Linear Regression. 2. NONLINEAR FUNCTIONS AND MODELS. Quadratic Functions and Models. Exponential Functions and Models. The Number e and Exponential Growth and Decay. Logistic and Logarithmic Functions and Models.. 3. INTRODUCTION TO THE DERIVATIVE. Limits: Numerical and GraphicalViewpoints. Limits and Continuity. Limits: Algebraic Viewpoint. Average Rate of Change. Derivatives: Numerical and Graphical Viewpoints. Derivatives: Algebraic Viewpoint. 4. TECHNIQUES OF DIFFERENTIATION. Derivatives of Powers, Sums, and Constant Multiples. A First Application: Marginal Analysis. The Product and Quotient Rules. The Chain Rule. Derivatives of Logarithmic and Exponential Functions. Implicit Differentiation. 5. APPLICATIONS OF THE DERIVATIVE. Maxima and Minima. Applications of Maxima and Minima. Higher Order Derivatives: Acceleration and Concavity. Analyzing Graphs. Related Rates. Elasticity. 6. THE INTEGRAL. The Indefinite Integral. Substitution. The Definite Integral. The Fundamental Theorem of Calculus. 7. FURTHER INTEGRATION TECHNIQUES AND APPLICATIONS OF THE INTEGRAL. Integration by Parts. Area Between Two Curves. Averages and Moving Averages. Applications to Business and Economics: Consumers' and Producers' Surplus and Continuous Income Streams. Improper Integrals and Applications. Differential Equations and Applications. 8. FUNCTIONS OF SEVERAL VARIABLES. Functions of Several Variables from the Numerical, Algebraic, and Graphical Viewpoints. Partial Derivatives. Maxima and Minima. Constrained Maxima and Minima and Applications. Double Integrals and Applications. 9. TRIGONOMETRIC MODELS. Trigonometric Functions, Models, and Regression. Derivatives of Trigonometric Functions and Applications. Integrals of Trigonometric Functions and Applications.
£999.99
Cengage Learning, Inc Finite Mathematics
Book SynopsisDiscover the relevance of mathematics in your own life as you master important concepts and skills in Waner/Costenoble's FINITE MATHEMATICS, 8th Edition. Updated, numerous examples and applications use real data from well-known businesses, current economic and life events -- from cryptocurrency to COVID -- to demonstrate how the principles you are learning impact you. Readable, streamlined content clearly presents concepts while numerous learning features and tools help you review and practice. Spreadsheet and TI graphing calculator instructions appear where needed. In addition, WebAssign online tools and an interactive eTextbook include teaching videos by an award-winning instructor. You can refine your skills in the necessary math prerequisites with additional examples and powerful adaptive practice sessions. A helpful website from the authors also offers online tutorials and videos on every topic to support your learning, no matter what your learning style.Table of Contents0. PRECALCULUS REVIEW. Real Numbers. Exponents and Radicals. Using Exponent Identities. Multiplying and Factoring Algebraic Equations. Rational Expressions. Solving Polynomial Equations. Solving Miscellaneous Equations. The Coordinate Plane. Logarithms. 1. FUNCTIONS AND APPLICATIONS. Functions from the Numerical, Algebraic, and Graphical Viewpoints. Functions and Models. Linear Functions and Models. Linear Regression. 2. THE MATHEMATICS OF FINANCE. Simple Interest. Compound Interest. Annuities, Loans, and Bonds. 3. SYSTEMS OF LINEAR EQUATIONS AND MATRICES. Systems of Two Equations in Two Unknowns. Using Matrices to Solve Systems of Equations. Applications of Systems of Linear Equations. 4. MATRIX ALGEBRA AND APPLICATIONS. Matrix Addition and Scalar Multiplication. Matrix Multiplication. Matrix Inversion. Game Theory. Input-Output Models. 5. LINEAR PROGRAMMING. Graphing Linear Inequalities. Solving Linear Programming Problems Graphically. The Simplex Method: Solving Standard Maximization Problems. The Simplex Method: Solving General Linear Programming Problems. The Simplex Method and Duality. 6. SETS AND COUNTING. Set Operations. Cardinality. Decision Algorithms: The Addition and Multiplication Principles. Permutations and Combinations. 7. PROBABILITY. Sample Spaces and Events. Relative Frequency. Probability and Probability Models. Probability and Counting Techniques. Conditional Probability and Independence. Bayes' Theorem and Applications. Markov Systems. 8. RANDOM VARIABLES AND STATISTICS. Random Variables and Distributions. Bernoulli Trials and Binomial Random Variables. Measures of Central Tendency. Measures of Dispersion. Normal Distributions.
£269.61
Peterson's Guides,U.S. Master the DSST Fundamentals of College Algebra
Book Synopsis
£12.34
Legare Street Press Einleitung in Die Mengenlehre
Book Synopsis
£13.95
Cengage Learning, Inc Elementary and Intermediate Algebra
Book SynopsisAlgebra can be like a foreign language, but ELEMENTARY AND INTERMEDIATE ALGEBRA, 5E, gives you the tools and practice you need to fully understand the language of algebra and the 'why' behind problem solving. Using Strategy and Why explanations in worked examples and a six-step problem solving strategy, ELEMENTARY AND INTERMEDIATE ALGEBRA, 5E, will guide you through an integrated learning process that will expand your reasoning abilities as it teaches you how to read, write, and think mathematically. Feel confident about your skills through additional practice in the text and Enhanced WebAssign. With ELEMENTARY AND INTERMEDIATE ALGEBRA, 5E, algebra will make sense because it is not just about the x...it's also about the WHY.
£184.55
Cengage Learning, Inc Basic College Mathematics
Book SynopsisThe focus in BASIC COLLEGE MATHEMATICS remains on the Aufmann Interactive Method (AIM). Students are encouraged to be active participants in the classroom and in their own studies as they work through the How To examples and the paired Examples and You Try It problems. Student engagement is crucial to success. Presenting students with worked examples, and then providing them with the opportunity to immediately solve similar problems, helps them build their confidence and eventually master the concepts.Table of ContentsNote: Each chapter begins with a Prep Test and concludes with a Chapter Summary, a Chapter Review, and a Chapter Test. Chapters 2-12 include Cumulative Review Exercises. A. AIM FOR SUCCESS. 1. WHOLE NUMBERS. Introduction to Whole Numbers. Addition of Whole Numbers. Subtraction of Whole Numbers. Multiplication of Whole Numbers. Division of Whole Numbers. Exponential Notation and the Order of Operations Agreement. Prime Numbers and Factoring. 2. FRACTIONS. The Least Common Multiple and Greatest Common Factor. Introduction to Fractions. Writing Equivalent Fractions. Addition of Fractions and Mixed Numbers. Subtraction of Fractions and Mixed Numbers. Multiplication of Fractions and Mixed Numbers. Division of Fractions and Mixed Numbers. Order, Exponents, and the Order of Operations Agreement. 3. DECIMALS. Introduction to Decimals. Addition of Decimals. Subtraction of Decimals. Multiplication of Decimals. Division of Decimals. Comparing and Converting Fractions and Decimals. 4. Ratio and Proportion Ratio. Rates. Proportions. 5. PERCENTS. Introduction to Percents. Percent Equations: Part 1. Percent Equations: Part II. Percent Equations: Part III. Percent Problems: Proportion Method. 6. APPLICATIONS FOR BUSINESS AND CONSUMERS. Applications to Purchasing. Percent Increase and Percent Decrease. Interest. Real Estate Expenses. Car Expenses. Wages. Bank Statements. 7. STATISTICS AND PROBABILITY. Pictographs and Circle Graphs. Bar Graphs and Broken-Line Graphs. Histograms and Frequency Polygons. Statistical Measures. Introduction to Probability. 8. U.S. CUSTOMARY UNITS OF MEASUREMENT. Length. Weight. Capacity. Time. Energy and Power. 9. THE METRIC SYSTEM OF MEASUREMENT. Length. Mass. Capacity. Energy. Conversion Between the U.S. Customary and the Metric Systems of Measurement. 10. RATIONAL NUMBERS. Introduction to Integers. Addition and Subtraction of Integers. Multiplication and Division of Integers. Operations with Rational Numbers. Scientific Notation and the Order of Operations Agreement. 11. INTRODUCTION TO ALGEBRA. Variable Expressions. Introduction to Equations. General Equations: Part I. General Equations: Part II. Translating Verbal Expressions into Mathematical Expressions. Translating Sentences into Equations and Solving. 12. GEOMETRY. Angles, Lines, and Geometric Figures. Plane Geometric Figures. Area. Volume. The Pythagorean Theorem. Similar and Congruent Triangles. Final Exam APPENDIX. Table of Geometric Formulas. Compound Interest Table. Monthly Payment Table. Table of Measurements. Table of Properties. Solutions to You Try Its. Answers to the Selected Exercises. Glossary. Index. Index of Applications.
£227.43
McGraw-Hill Education Loose Leaf for Introductory Algebra with
Book Synopsis
£137.84
McGraw-Hill Education ISE Prealgebra
Book SynopsisAuthors and educators Julie Miller, Molly O''Neill, and Nancy Hyde are pleased to announce the highly anticipated 3rd edition of their Prealgebra series. Create more lightbulb moments with this comprehensive set of valuable content and pedagogy, and insightful and intuitive digital learning tools. The text reflects the compassion of its experienced author team with features developed to address the specific needs of today''s prealgebra students. Included alongside the highly-favorable Problem Recognition Exercises, readers will find added review material, aimed at assisting students with synthesis, summarization, and recognition of key mathematical topics so as to enhance their overall conceptual understanding. These types of exercises, along with the overall number of practice problems and group activities available, permit instructors to choose from a wealth of problems, allowing ample opportunity for students to practice what they learn in lecture to hone their skilTable of ContentsPrealgebra, 3rd Edition Chapter 1:Whole Numbers 1.1 Study TipsGroup Activity: Becoming a Successful Student1.2 Introduction to Whole Numbers1.3 Addition and Subtraction of Whole Numbers and Perimeter1.4 Rounding and Estimating1.5 Multiplication of Whole Numbers and Area 1.6 Division of Whole NumbersProblem Recognition Exercises - Operations on Whole Numbers1.7 Exponents, Algebraic Expressions, and the Order of Operations1.8 Mixed Applications and Computing Mean Chapter 2: Integers and Algebraic Expressions 2.1 Integers, Absolute Value, and Opposite2.2 Addition of Integers2.3 Subtraction of Integers2.4 Multiplication and Division of IntegersProblem Recognition Exercises - Operations on Integers2.5 Order of Operations and Algebraic ExpressionsGroup Activity: Checking Weather Predictions Chapter 3: Solving Equations 3.1 Simplifying Expressions and Combining Like Terms3.2 Addition and Subtraction Properties of Equality 3.3 Multiplication and Division Properties of Equality3.4 Solving Equations with Multiple Steps Problem Recognition Exercises - Identifying Expression and Equations3.5 Applications and Problem SolvingGroup Activity: Deciphering a Coded Message Chapter 4: Fractions and Mixed Numbers 4.1 Introduction to Fractions and Mixed Numbers4.2 Simplifying Fractions4.3 Multiplication and Division of Fractions4.4 Least Common Multiple and Equivalent Fractions4.5 Addition and Subtraction of Fractions4.6 Estimation and Operations on Mixed Numbers Problem Recognition Exercises - Operations on Fractions and Mixed Numbers4.7 Order of Operations and Complex Fractions4.8 Solving Equations Containing FractionsProblem Recognition Exercises - Comparing Expressions and EquationsGroup Activity: Card Games with Fractions Chapter 5: Decimals 5.1 Decimal Notation and Rounding5.2 Addition and Subtraction of Decimals5.3 Multiplication of Decimals and Applications with Circles5.4 Division of DecimalsProblem Recognition Exercises - Operations on Decimals5.5 Fractions, Decimals, and the Order of Operations5.6 Solving Equations Containing Decimals5.7 Mean, Median, and ModeGroup Activity: Purchasing from a Catalog Chapter 6: Ratio and Proportion 6.1 Ratios6.2 Rates and Unit Cost6.3 ProportionsProblem Recognition Exercises - Operations on Fractions versus Solving Proportions6.4 Applications of Proportions and Similar FiguresGroup Activity: Investigating Probability Chapter 7: Percents 7.1 Percents, Fractions, and Decimals7.2 Percent Proportions and Applications7.3 Percent Equations and ApplicationsProblem Recognition Exercises - Percents7.4 Applications of Sales Tax, Commission, Discount, Markup, and Percent Increase and Decrease7.5 Simple and Compound InterestGroup Activity: Credit Card Interest Chapter 8: Measurement and Geometry 8.1 US Customary Units of Measurement8.2 Metric Units of Measurement8.3 Converting Between US Customary and Metric UnitsProblem Recognition Exercises - US Customary and Metric Conversions8.4 Medical Applications Involving Measurement8.5 Lines and Angles8.6 Triangles and the Pythagorean Theorem8.7 Perimeter, Circumference, and AreaProblem Recognition Exercises - Area, Perimeter, and Circumference8.8 Volume and Surface AreaGroup Activity: Remodeling the Classroom Chapter 9: Graphs and Statistics 9.1 Rectangular Coordinate System9.2 Graphing Two-Variable Equations9.3 Tables, Bar Graphs, Pictographs, and Line Graphs9.4 Frequency Distributions and Histograms9.5 Circle Graphs9.6 Introduction to ProbabilityGroup Activity: Creating a Statistical Report Chapter 10: Exponents and Polynomials 10.1 Addition and Subtraction of Polynomials10.2 Multiplication Properties of Exponents10.3 Multiplication of PolynomialsProblem Recognition Exercises - Operations on Polynomials and Exponential Expressions10.4 Introduction to Factoring10.5 Negative Exponents and the Quotient Rule for Exponents10.6 Scientific NotationGroup Activity: Evaluating and Interpreting a Polynomial Model
£53.09
McGraw-Hill Education Intermediate Algebra ISE
Book SynopsisThe 6th Edition of Intermediate Algebra continues the Miller/O''Neill/Hyde author team's approach in addressing the needs of developmental level students to help them get better results. Content updates include new end-of-section activities, prerequisite review exercises, and new study skills videos. This new edition is available in ALEKS 360. In a single platform, ALEKS provides a balance of adaptive practice for skill mastery and homework, tests, and quizzes for application and assessment so that you can create the assignments your students need to have the best outcome in your course. In addition to content updates to the text, we are continuously adding new features to ALEKS 360including new video assignments, an enhanced gradebook experience, end-of-chapter questions aligned to the text, and more.Table of ContentsReference: Review of Basic Algebraic ConceptsChapter 1: Linear Equations and Inequalities in One VariableChapter 2: Linear Equations in Two Variables and FunctionsChapter 3: Systems of Linear Equations and InequalitiesChapter 4: PolynomialsChapter 5: Rational Expressions and Rational EquationsChapter 6: Radicals and Complex NumbersChapter 7: Quadratic Equations and FunctionsChapter 8: Exponential and Logarithmic Functions and ApplicationsChapter 9: Conic SectionsChapter 10: Binomial Expansions, Sequences, and SeriesChapter 11 (Online): Transformations, Piecewise-Defined Functions, and Probability
£76.49
McGraw-Hill Education Must Know High School Algebra Second Edition
Book SynopsisA unique and effective way to learn Algebraâupdated with the latest instruction and reviewMust Know High School Algebra provides a fresh approach to learning. As part of our Must Know series, this new edition makes sure what you really need to know is clear up-front. Rather than starting with goals to be met, chapters begin by telling you the most important concepts about the topic at handâand then show you exactly how these concepts help you accomplish your goals.Written by excerpt algebra educators, Must Know High School Algebra, Second Edition provides updated lesson content and useful examples to help clarify each topic. Every chapter closes with reinforcing exercises to get you the practice you need to gain confidence. New features to this edition focus on extra support and helping you avoid common mistakes. In the end, you get everything you need to build your algebra skills quickly and painlessly.Features:Mo
£11.99
McGraw-Hill Education Beginning and Intermediate Algebra ISE
Book SynopsisThe 6th Edition of Beginning & Intermediate Algebra continues the Miller/O''Neill/Hyde author team's approach in addressing the needs of developmental level students to help them get better results. Content updates include new end-of-section activities, prerequisite review exercises, and new study skills videos.This new edition is available in ALEKS 360. In a single platform, ALEKS provides a balance of adaptive practice for skill mastery and homework, tests, and quizzes for application and assessment so that you can create the assignments your students need to have the best outcome in your course. In addition to content updates to the text, we are continuously adding new features to ALEKS 360including new video assignments, an enhanced gradebook experience, end-of-chapter questions aligned to the text, and more.Table of ContentsChapter 1: Set of Real NumbersChapter 2: Linear Equations and InequalitiesChapter 3: Graphing Linear Equations in Two VariablesChapter 4: Systems of Linear Equations in Two VariablesChapter 5: Polynomials and Properties of ExponentsChapter 6: Factoring PolynomialsChapter 7: Rational Expressions and EquationsChapter 8: Relations and FunctionsChapter 9: More Equations and InequalitiesChapter 10: Radicals and Complex NumbersChapter 11: Quadratic Equations and FunctionsChapter 12: Exponential and Logarithmic Functions and ApplicationsChapter 13: Conic SectionsChapter 14: Binomial Expansions, Sequences, and SeriesChapter 15 (Online): Transformations, Piecewise-Defined Functions, and Probability
£999.99
McGraw-Hill Education Math For Business And Finance An Algebraic
Book SynopsisMath for Business & Finance: An Algebraic Approach provides modern examples for students to understand business mathematics and make connections with real-world applications. The course covers mathematical concepts from an algebraic approach, combined with Business applications. Every chapter is devoted to a Personal Finance theme, with topics that include Payroll and the Cost of Purchasing a Home. There is also extensive integration of scientific calculator notation, and also has the Wall Street Journal and Kiplinger news clips that have been widely popular in Jeffrey Slater''s other two Business Math texts. Connect is the only integrated learning system that empowers students by continuously adapting to deliver precisely what they need, when they need it, and how they need it, so that your class time is more engaging and effective. Table of ContentsCHAPTER 1: Problem Solving with Math CHAPTER 2: Fractions CHAPTER 3: Percents and Their Applications Video Case: Project Management at Six Flags, New Jersey CHAPTER 4: Solving for the Unknown CHAPTER 5: Business Statistics CHAPTER 6: Banking and Budgeting CHAPTER 7: Payroll and Income Tax CHAPTER 8: Sales, Excise, and Property Taxes Video Case: EDP Renewables CHAPTER 9: Risk Management CHAPTER 10: Installment Buying and Revolving Charge Credit Cards CHAPTER 11: Discounts: Trade and Cash Video Case: Recycling at Subaru of Indiana Automotive CHAPTER 12: Markups and Markdowns: Perishables and Breakeven Analysis Video Case: Noodles & Company CHAPTER 13: How to Read, Analyze, and Interpret Financial Reports Video Case: Buycostumes.com CHAPTER 14: Depreciation CHAPTER 15: Inventory and Overhead CHAPTER 16: Simple Interest CHAPTER 17: Promissory Notes, Simple Discount Notes, and the Discount Process CHAPTER 18: The Cost of Home Ownership CHAPTER 19: Compound Interest and Present Value CHAPTER 20: Annuities and Sinking Funds Video Case: DHL Global Delivery Cumulative Review: A Word Problem Approach CHAPTER 21: Stocks, Bonds, and Mutual Funds APPENDIX A: Additional Homework by Learning Unit APPENDIX B: Worked-Out Solutions to Extra Practice Quizzes and You Try It Problems APPENDIX C: Check Figures APPENDIX D: Calculator Basics and the Metric System
£999.99
Nova Science Publishers Inc Understanding Banach Spaces
Book SynopsisThis book focuses on the study of several properties of Banach spaces applied to diverse problems in functional and numerical analysis. Many problems in science, engineering and other disciplines can be expressed in the form of equations, inequalities or systems of equations using mathematical modelling. In particular, a large number of these problems can be solved using these spaces. A great multitude of examples showing the theoretical application developed appears throughout the work. Researchers and practitioners will find this book very useful as a source book, utilize its methods and also use it as a classroom text for a senior undergraduate or graduate course. It is certainly an excellent must read book.Table of ContentsPrefaceRight Complex Caputo Fractional InequalitiesMixed Complex Fractional InequalitiesAdvanced Complex Fractional Ostrowski InequalitiesImproved Qualitative Analysis for Newtonlike Methods with ROrder of Convergence at Least Three in Banach SpacesDevelopments on the Convergence Region of Newtonlike Methods with Generalized Inverses in Banach SpacesModified NewtonType Compositions for Solving Equations in Banach SpacesBall Convergence for Optimal Derivative Free MethodsBall Convergence for a Derivative Free Method with MemoryWeaker Convergence Conditions of an Iterative Method for Nonlinear IllPosed EquationsBall Convergence Theorem for a Fifth Order Method in Banach SpacesExtended Convergence of KingWernerlike Methods without DerivativesOn an Eighth Order SteffensenType Solver Free of DerivativesLocal Convergence of Osadas Method for Finding Zeros with MultiplicityExpanding the Applicability of an EighthOrder Method in Banach Space under Weak ConditionsLocal Convergence for Three Step Eighth Order Method under Weak ConditionsBall Convergence for a ThreeStep One Parameter Efficient Method in Banach Space under Generalized ConditionsOn the Convergence of NewtonMoser Method from Data at One PointApproximating Inverse Operators by a FourthOrder Iterative MethodInitial Value Problems in Clifford Analysis Using Associated SpacesComputational Approach of Initial Value Problems in Clifford Analysis Using Associated SpacesAsymmetric Convexity and Smoothness: Quantitative Lyapunov Theorems, Lozanovskii Factorisation, Walsh Chaos and Convex DualityCopies of Sequence Spaces and Basic Properties of Anisotropic Function SpacesInterpolation and Bounded Extension of HӧlderLipschitz Mappings between Function, NonCommutative and Other Banach SpacesDifferential Equations with a Small Parameter in a Banach SpaceRole of HansonAntczakType V Invex Functions in Sufficient Efficiency Conditions for Semiinfinite Multiobjective Fractional ProgrammingIndex.
£999.99
Nova Science Publishers Inc Boolean Logic, Expressions and Theories: An
Book Synopsis
£58.39
Nova Science Publishers Inc Hot Topics in Linear Algebra
Book SynopsisLinear algebra is the branch of mathematics concerning vector spaces and linear mappings between such spaces. Systems of linear equations with several unknowns are naturally represented using the formalism of matrices and vectors. So we arrive at the matrix algebra, etc. Linear algebra is central to almost all areas of mathematics. Many ideas and methods of linear algebra were generalised to abstract algebra. Functional analysis studies the infinite-dimensional version of the theory of vector spaces. Combined with calculus, linear algebra facilitates the solution of linear systems of differential equations. Linear algebra is also used in most sciences and engineering areas because it allows for the modelling of many natural phenomena, and efficiently computes with such models. ''Hot Topics in Linear Algebra'' presents original studies in some areas of the leading edge of linear algebra. Each article has been carefully selected in an attempt to present substantial research results across a broad spectrum. Topics discussed herein include recent advances in analysis of various dynamical systems based on the Gradient Neural Network; Cramer's rules for quaternion generalized Sylvester-type matrix equations by using noncommutative row-column determinants; matrix algorithms for finding the generalized bisymmetric solution pair of general coupled Sylvester-type matrix equations; explicit solution formulas of some systems of mixed generalised Sylvester-type quaternion matrix equations; new approaches to studying the properties of Hessenberg matrices by using triangular tables and their functions; researching of polynomial matrices over a field with respect to semi-scalar equivalence; mathematical modelling problems in chemistry with applying mixing problems, which the associated MP-matrices; and some visual apps, designed in Scilab, for the learning of different topics of linear algebra.Table of ContentsPreface; Computing Generalized Inverses Using Gradient-Based Dynamical Systems; Cramers Rules for Sylvester-Type Matrix Equations; BICR Algorithm for Computing Generalized Bisymmetric Solutions of General Coupled Matrix Equations; System of Mixed Generalized Sylvester-Type Quaternion Matrix Equations; Hessenberg Matrices: Their Properties and Some Applications; Equivalence of Polynomial Matrices over a Field; Matrices in Chemical Problems Modeled Using Directed Graphs and Multigraphs; Engaging Students in the Learning of Linear Algebra; Index.
£999.99
Nova Science Publishers Inc Introduction to Clifford Analysis: A New
Book Synopsis
£67.99
Nova Science Publishers Inc Elementary Linear Algebra
Book SynopsisElementary Linear Algebra
£79.04
Nova Science Publishers Inc Extremal Properties of Polynomials & Splines
Book SynopsisExtremal Properties of Polynomials & Splines
£135.19
Nova Science Publishers Inc Algebra for Athletes
Book SynopsisThis book capitalises on the wealth of mathematical knowledge students already possess because of their familiarity with the scorekeeping and motion in sports. In this way, the book takes advanced concepts such as exponents, vector multiplication, and the unit circle to relate them to students everyday lives. While the book is meant to appeal to students who might not otherwise choose to study algebra, it employs highly challenging material, much of which is not taught until engineering school. Thus the book also provides a window to the professional world. Applications in accounting, aeronautical engineering, civil engineering and other fields are presented along with the sports examples.
£36.74
Barcharts, Inc Algebra Part 2
Book SynopsisAlgebra 2 is the advanced QuickStudy guide specially designed for students who are already familiar with Algebra 1.
£9.16
Nova Science Publishers Inc Commutative Rings
Book SynopsisThis volume presents up-to-date references on the latest developments in commutative algebra and related areas featuring 19 original articles on fundamental topics of current interest. It covers arithmetical rings, pullback construction, elasticity and factorisation, A + XB(X) domains, distinguished domains, going-down domains, semistar operations, star-operations, trace properties, pseudo-valuation rings, modules, zerodivisor graphs, normal maximal ideals and numerical semi-groups. This is a vital resource for research mathematicians, algebraists, commutative ring theorists and graduate students in these disciplines.
£999.99
Nova Science Publishers Inc Recent Research on Pure & Applied Algebra
Book SynopsisThis volume gathers results in pure and applied algebra from researchers around the globe. The selection of these papers was carried out under the auspices of a special editorial board.
£72.24
Nova Science Publishers Inc Generalized Lattices
Book Synopsis
£127.99
Nova Science Publishers Inc Focus on Commutative Rings Research
Book SynopsisFocus on Commutative Rings Research
£999.99
Nova Science Publishers Inc Algebra & Algebraic Topology
Book SynopsisThis volume gathers results in pure and applied algebra including algebraic topology from researchers around the globe. The selection of these papers was carried out under the auspices of a special editorial board.
£176.24
Nova Science Publishers Inc Linear Algebra Research Advances
Book SynopsisLinear algebra is the branch of mathematics concerned with the study of vectors, vector spaces (also called linear spaces), linear maps (also called linear transformations), and systems of linear equations. Vector spaces are a central theme in modern mathematics; thus, linear algebra is widely used in both abstract algebra and functional analysis. Linear algebra also has a concrete representation in analytic geometry and it is generalised in operator theory. It has extensive applications in the natural sciences and the social sciences, since non-linear models can often be approximated by linear ones.
£187.99
Nova Science Publishers Inc Invariants of Nine Dimensional Real Lie Algebras
Book Synopsis
£39.74
Nova Science Publishers Inc Commutative Rings: New Research
Book SynopsisCommutative rings are a branch of abstract algebra that deals with the multiplication operation. This book examines the question, given any positive integer n, is there a commutative ring with identity that has n zero-divisions? This question is examined in stages through looking at local rings, reduced rings and finally commutative rings in general. In addition, several themes pertaining to the classification of minimal ring extensions are described. Some recent and new results on linear systems theory over commutative rings are also looked at. Finally, this book gives a brief history and summary of the active area of asymptotic stability of associated or attached prime ideals. Some of the old and new results about the asymptotic properties of associated and attached prime ideals related to injective, projective or flat modules, are discussed.
£999.99
Nova Science Publishers Inc Evolution Equations Research Compendium: Volume 2
Book SynopsisThis book presents and discusses new developments in the study of evolution equations. Topics discussed include global attractors for semi-linear parabolic equations with delays; exact controllability for the vibrating plate equation in a non smooth domain; weighted pseudo almost automorphic solutions for some partial functional differential equations in fading memory spaces; periodic solutions to the non-linear parabolic equation; and infinite-time admissibility of observation operators for volterra systems.
£262.39
Nova Science Publishers Inc Advances in Linear Algebra Research
Book SynopsisThis book presents original studies on the leading edge of linear algebra. Each chapter has been carefully selected in an attempt to present substantial research results across a broad spectrum. The main goal of Chapter One is to define and investigate the restricted generalized inverses corresponding to minimization of constrained quadratic form. As stated in Chapter Two, in systems and control theory, Linear Time Invariant (LTI) descriptor (Differential-Algebraic) systems are intimately related to the matrix pencil theory. A review of the most interesting properties of the Projective Equivalence and the Extended Hermite Equivalence classes is presented in the chapter. New determinantal representations of generalized inverse matrices based on their limit representations are introduced in Chapter Three. Using the obtained analogues of the adjoint matrix, Cramer''s rules for the least squares solution with the minimum norm and for the Drazin inverse solution of singular linear systems have been obtained in the chapter. In Chapter Four, a very interesting application of linear algebra of commutative rings to systems theory, is explored. Chapter Five gives a comprehensive investigation to behaviors of a general Hermitian quadratic matrix-valued function by using ranks and inertias of matrices. In Chapter Six, the theory of triangular matrices (tables) is introduced. The main "characters" of the chapter are special triangular tables (which will be called triangular matrices) and their functions paradeterminants and parapermanents. The aim of Chapter Seven is to present the latest developments in iterative methods for solving linear matrix equations. The problems of existence of common eigenvectors and simultaneous triangularization of a pair of matrices over a principal ideal domain with quadratic minimal polynomials are investigated in Chapter Eight. Two approaches to define a noncommutative determinant (a determinant of a matrix with noncommutative elements) are considered in Chapter Nine. The last, Chapter 10, is an example of how the methods of linear algebra are used in natural sciences, particularly in chemistry. In this chapter, it is shown that in a First Order Chemical Kinetics Mechanisms matrix, all columns add to zero, all the diagonal elements are non-positive and all the other matrix entries are non-negative. As a result of this particular structure, the Gershgorin Circles Theorem can be applied to show that all the eigenvalues are negative or zero.
£177.59
Nova Science Publishers Inc Ordinary & Partial Differential Equations
Book SynopsisDisease in the prey population increases the risk of prey outcomes in predation or to be harvested. In this book, an eco-epidemiological model consisting of predator-prey model with SIS disease in the prey population is proposed and analysed. Furthermore, the authors discuss a mathematical S-E-I-L (Susceptible-Latently infected-Infected-Lost of sight) model for the spread of a directly transmitted infectious disease in an age-structured population; examine how starting from the classical Chebyshev ordinary differential equation (ODE), a generic realisation of its Lie algebra of point symmetries sl(3;R) is obtained in terms of the Chebyshev polynomials of first and second kind; and give a comparative summary of different recent contributions to the theme of the linear stability and nonlinear dynamics of solitary waves in the nonlinear Dirac equation in the form of the Gross-Neveu model.
£999.99
New Age International (UK) Ltd First Year Algebra
Book Synopsis
£25.00
New Age International (UK) Ltd A Problem Book in Algebra
Book Synopsis
£999.99
Imperial College Press Noncommutative Character Theory Of The Symmetric
Book SynopsisA new approach to the character theory of the symmetric group has been developed during the past fifteen years which is in many ways more efficient, more transparent, and more elementary. In this approach, to each permutation is assigned a class function of the corresponding symmetric group. Problems in character theory can thereby be transferred into a completely different setting and reduced to combinatorial problems on permutations in a natural and uniform way.This is the first account in book form entirely devoted to the new “noncommutative method”. As a modern and comprehensive survey of the classical theory the book contains such fundamental results as the Murnaghan-Nakayama and Littlewood-Richardson rules as well as more recent applications in enumerative combinatorics and in the theory of the free Lie algebra. But it is also an introduction to the vibrant theory of certain combinatorial Hopf algebras such as the Malvenuto-Reutenauer algebra of permutations.The three detailed appendices on group characters, the Solomon descent algebra and the Robinson-Schensted correspondence makes the material self-contained and suitable for undergraduate level. Students and researchers alike will find that noncommutative character theory is a source of inspiration and an illuminating approach to this versatile field of algebraic combinatorics.Trade Review"Three appendices make this book self-contained, as no knowledge of the classical theory is assumed. Therefore, this volume is highly recommended to researchers and students alike." Zentralblatt MATHTable of ContentsThe Inductive Method Noncommutative Character Theory of the Symmetric Group Classical Character Theory of the Symmetric Group Appendices: Elements of Representation Theory Solomon's Mackey Formula Young Tableaux and Knuth Relations
£65.55
Imperial College Press Dynamics And Symmetry
Book SynopsisThis book contains the first systematic exposition of the global and local theory of dynamics equivariant with respect to a (compact) Lie group. Aside from general genericity and normal form theorems on equivariant bifurcation, it describes many general families of examples of equivariant bifurcation and includes a number of novel geometric techniques, in particular, equivariant transversality. This important book forms a theoretical basis of future work on equivariant reversible and Hamiltonian systems.This book also provides a general and comprehensive introduction to codimension one equivariant bifurcation theory. In particular, it includes the bifurcation theory developed with Roger Richardson on subgroups of reflection groups and the Maximal Isotropy Subgroup Conjecture. A number of general results are also given on the global theory. Introductory material on groups, representations and G-manifolds are covered in the first three chapters of the book. In addition, a self-contained introduction of equivariant transversality is given, including necessary results on stratifications as well as results on equivariant jet transversality developed by Edward Bierstone.Table of ContentsGroups; Group Actions and Representations; Smooth G-Manifolds; Equivariant Bifurcation Theory: Steady State Bifurcation; Equivariant Bifurcation Theory: Dynamics; Equivariant Transversality; Applications of G-Transversality to Bifurcation Theory I; Equivariant Dynamics; Dynamical Systems on G-Manifolds; Applications of G-Transversality to Bifurcation Theory II.
£141.55
Springer International Publishing AG Matrix Algebra
Book SynopsisThis book presents the theory of matrix algebra for statistical applications, explores various types of matrices encountered in statistics, and covers numerical linear algebra.
£999.99
Mathematical Society of Japan Algebraic Geometry In East Asia - Taipei 2011
Book SynopsisAlgebraic geometry in a traditional and fast developing research area in east Asia. There were many world leading algebraic geometers and there are remarkably increasing active mathematicians in the related area in the East Asia area including China, Japan, Korea, Taiwan and Vietnam. The purpose of the conference series 'Algebraic Geometry in East Asia' is to provide a platform for algebraic geometers in or closely related to East Asia.This volume is the proceeding of the conference 'Algebraic Geometry in East Asia, Taipei' which was held in November of 2011 in NCTS at Taipei. It contains two survey articles together with nine research articles. It provides the up-to-date advances of the research of algebraic geometry in East Asia.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North AmericaTable of Contents Three dimensional divisorial contractions by J. A. Chen Variation of mixed Hodge structures and the positivity for algebraic fiber spaces by Y. Kawamata From GW invariants of symmetric product stacks to relative invariants of threefolds by W. K. Cheong ADHM sheaf theory and wallcrossing by W.-Y. Chang Remarks on the non-vanishing conjecture by Y. Gongyo Singularities of pluri-theta divisors in Char $p>0$ by C. D. Hacon Dual cones of varieties of minimal rational tangents by J.-M. Hwang $\mathbb{Q}$-homology projective planes with nodes or cusps by J. Keum Deformations of product-quotient surfaces and reconstruction of Todorov surfaces via $\mathbb{Q}$-Gorenstein smoothing by Y. Lee and F. Polizzi Free automorphisms of positive entropy on smooth Kahler surfaces by K. Oguiso Gorenstein in codimension 4: the general structure theory by M. Reid
£42.75
Mathematical Society of Japan Singularities In Geometry And Topology 2011
Book SynopsisThis book collects original and survey papers on Singularities in Geometry and Topology, which resulted from the 6th Franco-Japanese Symposium on Singularities, held in Fukuoka, during September 5-10, 2011. Though singularity theory was born in the XIXth century, this field of research became more popular in France after Prof. Heisuke Hironaka came to Paris. Then, a lot of collaborations between Japanese and French mathematicians started, and the conferences on Singularities in Geometry and Topology continue to develop this collaboration between France and Japan. This volume consists of 2 survey articles and 12 research articles, whose topics include algebraic curves and varieties, line arrangements, mixed polynomials, algebraic local cohomology classes, stable maps, and mirror symmetry. This book is recommended to any researcher or graduate student interested in singularity theory.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North AmericaTable of Contents I. Survey Articles: Smooth double subvarieties on singular varieties. II by M. R. Gonzalez-Dorrego Survey of apparent contours of stable maps between surfaces by T. Yamamoto II. Research Articles: Valuations divisorielles et connexite en codimension 1 by C. Beddani The Alexander module of a trigonal curve. II by A. Degtyarev Monodromy of triple point line arrangements by A. Dimca On fibered links of singularities of polar weighted homogeneous mixed polynomials by K. Inaba On classes in the classification of curves on rational surfaces with respect to logarithmic plurigenera by H. Ishida The links specific to hypersurface simple $K3$ singularities by A. Katanaga On (4,3) line degenerated torus curves and torus decompositions by M. Kawashima On the computation of algebraic local cohomology classes associated with semi-quasihomogeneous singularities by K. Nabeshima and S. Tajima Some geometric-arithmetic aspects of separated variable curves by V. K. Nguyen Mixed functions of strongly polar weighted homogeneous face type by M. Oka Singular fibers in barking families of degenerations of elliptic curves by T. Okuda Mirror symmetry between orbifold projective lines and cusp singularities by A. Takahashi
£51.30
Mathematical Society of Japan School On Real And Complex Singularities In Sao
Book SynopsisThis volume is a collection of 6 lecture notes presented at the School on Singularity Theory, São Carlos, Brazil, July 16-21, 2012, or at the 12th International Workshop on Real and Complex Singularities, São Carlos, Brazil, July 22-27, 2012.Topics treated in the 6 lecture notes written by established authors cover, reflecting authors' expertise, a wide range including Topology and Geometry of real singularities, Singularities of holomorphic map-germs, Singularities of complex algebraic sets, Algorithms of the computer algebra 'SINGULAR', Singularities of maps and characteristic classes, Limit cycles of systems of ordinary differential equations.Each lecture note is extremely well-written with plentiful examples and may be considered as one of the most excellent readings in the relevant topic. This book is suitable for being kept at one's desk-side and widely recommended for graduate students studying singularity theory, and researchers in various fields who would like to enjoy the world of singularities.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America
£999.99
Mathematical Society of Japan Development Of Moduli Theory - Kyoto 2013 -
Book SynopsisThe present volume is the proceedings of the meeting 'Development of Moduli theory' which was held as the Seasonal Institute 2013 (The 6th MSJ-SI), the Mathematical Society of Japan and the 2013 Research Project of Research Institute of Mathematical Science, Kyoto University.This volume is dedicated to Professor Shigeru Mukai on the occasion of his sixtieth birthday.The volume consists of five survey articles and eight research articles given by the authors: I Dolgachev, E Looijenga, N Mestrano, C Simpson, H Nakajima, I Nakamura, V Alexeev, M Aprodu, G Farkas, A Ortega, I Ciocan-Fontanine, B Kim, B Hassett, A Kresch, Y Tschinkel, D Huybrechts, J H Keum, V Nikulin, K Yoshioka.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America
£127.80
