Elementary Differential Equations and Boundary Value Problems 10e

Elementary Differential Equations and Boundary Value Problems 10th Edition PDF Download Ebook. William E. Boyce and Richard C. DiPrima focus on the theory and practical applications of Differential Equations to engineering and the sciences. Emphasis is placed on the methods of solution, analysis, and approximation.

Use of technology, illustrations, and problem sets help readers develop an intuitive understanding of the material. Historical footnotes trace the development of the discipline and identify outstanding individual contributions. This book builds the foundation for anyone who needs to learn differential equations and then progress to more advanced studies.

The linear and nonlinear equations (first order and higher order) are treated in separate chapters. Most students studying differential equations are preparing for careers in the physical or life sciences. In developing models, this text guides the student carefully through the underlying physical principles leading to the relevant mathematics.

Emphasis on the importance of common sense, intuition, and “back-of-the-envelope” checks to help the student ask: “Does my answer make sense?” Many of the examples and exercises ask the student to anticipate and interpret the physical content of the solution.

Reference in later courses provides students in science and engineering with a useful reference for their later coursework. A special version of this visualization software is included FREE with every book. It is mapped specifically to the organization of this text. First order differential equations (linear and nonlinear) are now discussed in a single chapter, Chapter 2.

Second order and higher order linear equations are discussed in one chapter, Chapter 3. The introductory discussion for linear systems (Chapter 4) has been streamlined to reach the computational aspects of the theory as quickly as possible. Chapter 11 has been shortened to focus solely on linear two-point boundary value problems.

New exercises have been added to increase problem variety. A section of short projects has been added to the end of each chapter to expand students’ mathematical horizons. A review of core material appears at the ends of Chapters 2, 3, and 4, and requires students to apply solution techniques developed in the chapter.

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Calculus for Business, Economics, Life Sciences and Social Sciences 12e

Calculus for Business, Economics, Life Sciences and Social Sciences 12th Edition PDF Download Ebook. Raymond A. Barnett, Michael R. Ziegler and Karl E. Byleen help readers help themselves to excel. The content is organized into two parts: (1) A Library of Elementary Functions (Chapters 1–2) and (2) Calculus (Chapters 3–9).

The book’s overall approach, refined by the authors’ experience with large sections of college freshmen, addresses the challenges of teaching and learning when readers’ prerequisite knowledge varies greatly. Reader-friendly features such as Matched Problems, Explore & Discuss questions, and Conceptual Insights, together with the motivating and ample applications, make this text a popular choice for today’s students and instructors.

The examples are annotated and the problem-solving steps are clearly identified. This gives students extra assistance in solving the problem. Think Boxes (dashed boxes) are used to enclose steps that are usually performed mentally. A “Matched Problem” follows each example. This gives the student an opportunity to reinforce and test his/her understanding of the concept presented in the preceding example.

Answers to these problems are located in the Answers Section, located at the end of the text. Large variety of up-to-date applications use simplified versions of real models. It illustrates the relevance of mathematics to the real world and gives students opportunities to create and interpret mathematical models. Explore-Discuss boxes are integrated in every section.

Author encourages students to think about a relationship or process before a result is stated, or investigate additional consequences of a development in the text, so that they can better participate in the learning process and discussion- both in and out of class. Chapter Review exercises and answers are included, as well as suggested group activities and key terms. Optional graphing utility examples and exercises are clearly identified by an icon.

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Statistics for Business and Economics 12th Edition, Anderson

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Discrete and Computational Geometry by Satyan Devadoss

Discrete and Computational Geometry PDF Download Ebook. Satyan L. Devadoss and Joseph O'Rourke cover traditional topics such as convex hulls, triangulations, and Voronoi diagrams, as well as more recent subjects like pseudotriangulations, curve reconstruction, and locked chains.

Discrete geometry is a relatively new development in pure mathematics, while computational geometry is an emerging area in applications-driven computer science. Their intermingling has yielded exciting advances in recent years, yet what has been lacking until now is an undergraduate textbook that bridges the gap between the two. This text offers a comprehensive yet accessible introduction to this cutting-edge frontier of mathematics and computer science.

It also touches on more advanced material, including Dehn invariants, associahedra, quasigeodesics, Morse theory, and the recent resolution of the Poincaré conjecture. Connections to real-world applications are made throughout, and algorithms are presented independently of any programming language. This richly illustrated textbook also features numerous exercises and unsolved problems.

The book offers essential introduction to discrete and computational geometry. It covers traditional topics as well as new and advanced material, features numerous full-color illustrations, exercises, and unsolved problems. It is suitable for sophomores in mathematics, computer science, engineering, or physics, rigorous but accessible.

This guide meets an urgent need for an undergraduate text bridging the theoretical sides and the applied sides of the field. It is an excellent choice as a textbook for an undergraduate course in discrete and computational geometry! The presented material should be accessible for most mathematics or computer science majors in their second or third year in college. The book also is a valuable resource for graduate students and researchers.

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Combinatorial Commutative Algebra, Ezra Miller and Sturmfels

Combinatorial Commutative Algebra PDF Download Ebook. Ezra Miller and Bernd Sturmfels provide a self-contained introduction to the subject, with an emphasis on combinatorial techniques for multigraded polynomial rings, semigroup algebras, and determinantal rings.

The eighteen chapters cover a broad spectrum of topics, ranging from homological invariants of monomial ideals and their polyhedral resolutions, to hands-on tools for studying algebraic varieties with group actions, such as toric varieties, flag varieties, quiver loci, and Hilbert schemes. Over 100 figures, 250 exercises, and pointers to the literature make this book appealing to both graduate students and researchers.

Each chapter begins with an overview and ends with Notes on references and pointers to the literature. Theorems are, for the most part, attributed only in the Notes. When an exercise is based on a specific source, that source is credited in the Notes. For the few exercises used in the proofs of theorems in the main body of the text, solutions to the non routine ones are referenced in the Notes. The References list the pages on which each source is cited.

The mathematical notation throughout the book is kept as consistent as possible, making the glossary of notation particularly handy, although some of our standard symbols occasionally moonlight for brief periods in nonstandard ways, when we run out of letters. The exposition mainly concerns combinatorially defined ideals and their quotients, with a focus on numerical invariants and resolutions, especially under gradings more refined than the standard integer grading.

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Discrete Mathematics for Computer Science, Gary Haggard

Discrete Mathematics for Computer Science PDF Download Ebook. Gary Haggard, John Schlipf and Sue Whitesides offer accessible text that emphasizes the fundamentals of discrete mathematics and its advanced topics. This text shows how to express precise ideas in clear mathematical language. An increasing number of computer scientists from diverse areas are using discrete mathematical structures to explain concepts and problems.

Students discover the importance of discrete mathematics in describing computer science structures and problem solving. They also learn how mastering discrete mathematics will help them develop important reasoning skills that will continue to be useful throughout their careers.

Gary Haggard is Professor of Computer Science at Bucknell University. His research in data structures focuses on the implementation of effective algorithms for computing invariants for large combinatorial structures such as graphs. Dr. Haggard¿s current work is directed towards finding chromatic polynomials of large graphs.

John Schlipf is a Professor of Computer Science in the Department of Electrical and Computer Engineering and Computer Science at the University of Cincinnati. His research interests include logic programming and deductive databases, algorithms for satisfiability, computability and complexity, formal verification, and model theory.

Sue Whitesides is Professor of Computer Science at McGill University. She holds a Ph.D. from University of Wisconsin and a Masters from Stanford University. Her research interests lie within combinatorial mathematics and theoretical computer science.

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Discrete Mathematics with Graph Theory 3rd Edition, Goodaire

Discrete Mathematics with Graph Theory 3rd Edition PDF Download Ebook. Edgar G. Goodaire and Michael M. Parmenter make the principles and practices of discrete mathematics as stimulating as possible while presenting comprehensive, rigorous coverage. Examples and exercises integrated throughout each chapter serve to pique reader interest and bring clarity to even the most complex concepts.

Above all, the book is designed to engage today's readers in the interesting, applicable facets of modern mathematics. More than 200 worked examples and problems, as well as over 2500 exercises are included. Full solutions are provided in the back of the book. More than 150 Pauses—short questions inserted at strategic points—are included. Full solutions to Pauses are included at the end of each section.

The most common (negative) criticism of our first edition was the short treatment of logic and the absence of truth tables. This problem has been remedied with Chapter 1 (previously Chapter 0) completely rewritten and expanded significantly to include new sections on truth tables, the algebra of propositions, and logical arguments.

The text now includes more than enough material for instructors who wish to include a substantial unit on formal logic, while continuing to permit a shorter treatment dealing exclusively with the major points and jargon of proofs in mathematics. The second most common complaint—and every student's favorite—was the shortage of answers in the back of the book. In fact, the first edition contained over 500 solved problem. For the second edition, however, this number has been increased to over 800.

Graph theory is the subject of Chapters 9 through 15, and again we find that there is more material here than can be successfully treated in thirty-three lectures. Chapter 13 (Depth-First Search and Applications) can also be omitted without difficulty. In fact, most of the last half of this book is self-contained and can be treated to whatever extent the instructor may desire.

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Discrete and Combinatorial Mathematics 5th Edition, Grimaldi

Discrete and Combinatorial Mathematics: An Applied Introduction 5th Edition PDF Download Ebook. Ralph P. Grimaldi continues to improve on the features that have made it the market leader. The text offers a flexible organization, enabling instructors to adapt the book to their particular courses. The book is both complete and careful, and it continues to maintain its emphasis on algorithms and applications.

Excellent exercise sets allow students to perfect skills as they practice. This new edition continues to feature numerous computer science applications-making it the ideal text for preparing students for advanced study. This text has an enhanced mathematical approach, with carefully thought out examples, including many examples with computer sciences applications.

Historical reviews and biographies bring a human element to their assignments. Chapter summaries allow students to review what they have learned. There is expanded treatment of discrete probability in Chapter 3 with new material on cryptology, private-key cryptosystems in Chapter 14; public-key RSA cryptosystems in Chapter 16.

Interest in graphs and their applications has grown exponentially in the past two decades, largely due to the usefulness of graphs as models for computation and optimizations. This book targets the need for a fresh approach to the theory. Students will be able to develop the techniques of research used in theoretical areas of CS such as algorithms.

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Discrete Mathematical Structures 6th Edition, Kolman

Discrete Mathematical Structures 6th Edition PDF Download Ebook. Bernard Kolman, Robert Busby and Sharon C. Ross have woven in a thread of coding in all its aspects, efficiency, effectiveness, and security. Two new sections, Other Mathematical Structures and Public Key Cryptology are the major components of this thread, but smaller related insertions begin in Chapter 1.

The number of exercises for this edition has been increased by more than 25%. Whatever changes we have made, our objective has remained the same as in the first four editions: to present the basic notions of discrete mathematics and some of its applications in a clear and concise manner that will be understandable to the student.

Chapters 1 through 10 each end with a student experiment. These provide opportunities for discovery and exploration, or a more in-depth look at topics discussed in the text. They are designed as extended-time, out-of-class experiences and are suitable for group work. Each experiment requires significantly more writing than section exercises do. Some additional experiments are to be found in Appendix B. Content, prerequisites, and goals for each experiment are given in the Instructor's Solutions Manual.

Chapter 1 contains material that is fundamental to the course. This includes sets, subsets, and their operations; sequences; properties of the integers, including base n representations; matrices; and mathematical structures. A goal of this chapter is to help students develop skills in identifying patterns on many levels. Chapter 2 covers logic and related material, including methods of proof and mathematical induction.

Although the discussion of proof is based on this chapter, the commentary on proofs continues throughout the book. Chapter 3, on counting, deals with permutations, combinations, the pigeonhole principle, elements of probability, and recurrence relations.

Chapter 4 presents basic types and properties of relations, along with their representation as directed graphs. Connections with matrices and other data structures are also explored in this chapter. Chapter 5 deals with the notion of a function and gives important examples of functions, including functions of special interest in computer science.

An introduction to the growth of functions is developed. Chapter 6 covers partially ordered sets, including lattices and Boolean algebras. A symbolic version for finding a Boolean function for a Boolean expression joins the pictorial Kamaugh method. Chapter 7 introduces directed and undirected trees along with applications of these ideas. Elementary graph theory with applications to transport networks and matching problems is the focus of Chapter 8.

In Chapter 9 we return to mathematical structures and present the basic ideas of semigroups, groups, rings, and fields. By building on work in previous chapters, only a few new concepts are needed. Chapter 10 is devoted to finite-state machines. It complements and makes effective use of ideas developed in previous chapters.

Chapter 11 finishes our discussion of coding for error detecting and correction and for security purposes. Appendix A discusses algorithms and pseudocode. The simplified pseudocode presented here is used in some text examples and exercises; these may be omitted without loss of continuity. Appendix B gives some additional experiments dealing with extensions or previews of topics in various parts of the course.

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Discrete Mathematics 5th Edition by Ross and Wright

Discrete Mathematics 5th Edition PDF Download Ebook. Kenneth A. Ross and Charles R. Wright presents a sound mathematical treatment that increases smoothly in sophistication. The book presents utility-grade discrete math tools so that any reader can understand them, use them, and move on to more advanced mathematical topics. Market: A handy reference for computer scientists.

Authors have aimed to make our account simple enough that these students can learn it and complete enough that they won't have to learn it again. The most visible changes in this edition are the 274 new supplementary exercises and the new chapters on probability and on algebraic structures. The supplementary exercises, which have complete anstheyrs in the back of the book, ask more than 700 separate questions.

Together with the many end-of-section exercises and the examples throughout the text, these exercises let students practice using the material they are studying. The presentation starts with an intuitive approach that becomes more and more rigorous as the students' appreciation for proofs and their skill at building them increase.

Authors illustrate the way mathematicians attack problems, and they show the potheyr of an abstract approach. The math majors have been introduced to the mathematics culture, and the computer science students have been equipped to look at their subject from both mathematical and operational perspectives.

Every effort has been made to avoid duplicating the content of mainstream computer science courses, but they are aware that most of our readers will be coming in contact with some of the same material in their other classes, and they have tried to provide them with a clear, mathematical view of it. An example of our approach can be seen first in Chapter 4, where they give a careful account of while loops.

Authors base our discussion of mathematical induction on these loops, and also, in Chapter 4 and subsequently, show how to use them to design and verify a number of algorithms. They have deliberately stopped short of looking at implementation details for our algorithms, but they have provided most of them with time complexity analyses. They hope in this way to develop in the reader the habit of automatically considering the running time of any algorithm. In, addition, our analyses illustrate the use of some of the basic tools they have been developing for estimating efficiency.

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