Mathematical Applications

Author : Ronald J. Harshbarger,James J. Reynolds
Publisher : Cengage Learning
Page : 1104 pages
File Size : 44,8 Mb
Release : 2012-01-01
Category : Mathematics
ISBN : 1133106234

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Mathematical Applications for the Management, Life, and Social Sciences by Ronald J. Harshbarger,James J. Reynolds Pdf

MATHEMATICAL APPLICATIONS FOR THE MANAGEMENT, LIFE, AND SOCIAL SCIENCES, 10th Edition, is intended for a two-semester applied calculus or combined finite mathematics and applied calculus course. The book's concept-based approach, multiple presentation methods, and interesting and relevant applications keep students who typically take the course--business, economics, life sciences, and social sciences majors--engaged in the material. This edition broadens the book's real-life context by adding a number of environmental science and economic applications. The use of modeling has been expanded, with modeling problems now clearly labeled in the examples. Also included in the Tenth Edition is a brief review of algebra to prepare students with different backgrounds for the material in later chapters. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Author : Gerald Teschl
Publisher : American Mathematical Soc.
Page : 322 pages
File Size : 48,8 Mb
Release : 2009
Category : Mathematics
ISBN : 9780821846605

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Mathematical Methods in Quantum Mechanics by Gerald Teschl Pdf

Quantum mechanics and the theory of operators on Hilbert space have been deeply linked since their beginnings in the early twentieth century. States of a quantum system correspond to certain elements of the configuration space and observables correspond to certain operators on the space. This book is a brief, but self-contained, introduction to the mathematical methods of quantum mechanics, with a view towards applications to Schrodinger operators. Part 1 of the book is a concise introduction to the spectral theory of unbounded operators. Only those topics that will be needed for later applications are covered. The spectral theorem is a central topic in this approach and is introduced at an early stage. Part 2 starts with the free Schrodinger equation and computes the free resolvent and time evolution. Position, momentum, and angular momentum are discussed via algebraic methods. Various mathematical methods are developed, which are then used to compute the spectrum of the hydrogen atom. Further topics include the nondegeneracy of the ground state, spectra of atoms, and scattering theory. This book serves as a self-contained introduction to spectral theory of unbounded operators in Hilbert space with full proofs and minimal prerequisites: Only a solid knowledge of advanced calculus and a one-semester introduction to complex analysis are required. In particular, no functional analysis and no Lebesgue integration theory are assumed. It develops the mathematical tools necessary to prove some key results in nonrelativistic quantum mechanics. Mathematical Methods in Quantum Mechanics is intended for beginning graduate students in both mathematics and physics and provides a solid foundation for reading more advanced books and current research literature. It is well suited for self-study and includes numerous exercises (many with hints).

Author : Berinderjeet Kaur,Jaguthsing Dindyal
Publisher : World Scientific
Page : 351 pages
File Size : 42,8 Mb
Release : 2010
Category : Education
ISBN : 9789814313353

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Mathematical Applications and Modelling by Berinderjeet Kaur,Jaguthsing Dindyal Pdf

Mathematical Applications and Modelling is the second in the series of the yearbooks of the Association of Mathematics Educators in Singapore. The book is unique as it addresses a focused theme on mathematics education. The objective is to illustrate the diversity within the theme and present research that translates into classroom pedagogies.The book, comprising of 17 chapters, illuminates how application and modelling tasks may help develop the capacity of students to use mathematics in their present and future lives. Several renowned international researchers in the field of mathematical modelling have published their work in the book. The chapters are comprehensive and laden with evidence-based examples for both mathematics educators and classroom teachers. The book is an invaluable contribution towards the emerging field of research in mathematical applications and modelling. It is a must-read for graduate research students and mathematics educators.

Author : Biswadip Basu Mallik,Kirti Verma,Rahul Kar,Ashok Kumar Shaw
Publisher : Bentham Science Publishers
Page : 223 pages
File Size : 46,7 Mb
Release : 2023-08-24
Category : Computers
ISBN : 9789815124859

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Advanced Mathematical Applications in Data Science by Biswadip Basu Mallik,Kirti Verma,Rahul Kar,Ashok Kumar Shaw Pdf

Advanced Mathematical Applications in Data Science comprehensively explores the crucial role mathematics plays in the field of data science. Each chapter is contributed by scientists, researchers, and academicians. The 13 chapters cover a range of mathematical concepts utilized in data science, enabling readers to understand the intricate connection between mathematics and data analysis. The book covers diverse topics, including, machine learning models, the Kalman filter, data modeling, artificial neural networks, clustering techniques, and more, showcasing the application of advanced mathematical tools for effective data processing and analysis. With a strong emphasis on real-world applications, the book offers a deeper understanding of the foundational principles behind data analysis and its numerous interdisciplinary applications. This reference is an invaluable resource for graduate students, researchers, academicians, and learners pursuing a research career in mathematical computing or completing advanced data science courses. Key Features: Comprehensive coverage of advanced mathematical concepts and techniques in data science Contributions from established scientists, researchers, and academicians Real-world case studies and practical applications of mathematical methods Focus on diverse areas, such as image classification, carbon emission assessment, customer churn prediction, and healthcare data analysis In-depth exploration of data science's connection with mathematics, computer science, and artificial intelligence Scholarly references for each chapter Suitable for readers with high school-level mathematical knowledge, making it accessible to a broad audience in academia and industry.

Author : Feng Ye
Publisher : Springer Science & Business Media
Page : 279 pages
File Size : 44,5 Mb
Release : 2011-07-06
Category : Science
ISBN : 9789400713475

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Strict Finitism and the Logic of Mathematical Applications by Feng Ye Pdf

This book intends to show that radical naturalism (or physicalism), nominalism and strict finitism account for the applications of classical mathematics in current scientific theories. The applied mathematical theories developed in the book include the basics of calculus, metric space theory, complex analysis, Lebesgue integration, Hilbert spaces, and semi-Riemann geometry (sufficient for the applications in classical quantum mechanics and general relativity). The fact that so much applied mathematics can be developed within such a weak, strictly finitistic system, is surprising in itself. It also shows that the applications of those classical theories to the finite physical world can be translated into the applications of strict finitism, which demonstrates the applicability of those classical theories without assuming the literal truth of those theories or the reality of infinity. Both professional researchers and students of philosophy of mathematics will benefit greatly from reading this book.

Author : American Mathematical Society. Meeting
Publisher : American Mathematical Soc.
Page : 307 pages
File Size : 46,5 Mb
Release : 1984
Category : Mathematics
ISBN : 9780821850329

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Mathematical Applications of Category Theory by American Mathematical Society. Meeting Pdf

Mathematicians interested in understanding the directions of current research in set theory will not want to overlook this book, which contains the proceedings of the AMS Summer Research Conference on Axiomatic Set Theory, held in Boulder, Colorado, June 19-25, 1983. This was the first large meeting devoted exclusively to set theory since the legendary 1967 UCLA meeting, and a large majority of the most active research mathematicians in the field participated. All areas of set theory, including constructibility, forcing, combinatorics and descriptive set theory, were represented; many of the papers in the proceedings explore connections between areas. Readers should have a background of graduate-level set theory. There is a paper by S. Shelah applying proper forcing to obtain consistency results on combinatorial cardinal 'invariants' below the continuum, and papers by R. David and S. Freidman on properties of $0^\ No. $.Papers by A. Blass, H.D. Donder, T. Jech and W. Mitchell involve inner models with measurable cardinals and various combinatorial properties. T. Carlson largely solves the pin-up problem, and D. Velleman presents a novel construction of a Souslin tree from a morass. S. Todorcevic obtains the strong failure of the \qedprinciple from the Proper Forcing Axiom and A. Miller discusses properties of a new species of perfect-set forcing. H. Becker and A. Kechris attack the third Victoria Delfino problem while W. Zwicker looks at combinatorics on $P_\kappa(\lambda)$ and J. Henle studies infinite-exponent partition relations. A. Blass shows that if every vector space has a basis then $AC$ holds. I. Anellis treats the history of set theory, and W. Fleissner presents set-theoretical axioms of use in general topology.

Author : Francesco Marmo,Salvatore Sessa,Emilio Barchiesi,Mario Spagnuolo
Publisher : Springer Nature
Page : 275 pages
File Size : 51,7 Mb
Release : 2021-11-30
Category : Technology & Engineering
ISBN : 9783030427078

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Mathematical Applications in Continuum and Structural Mechanics by Francesco Marmo,Salvatore Sessa,Emilio Barchiesi,Mario Spagnuolo Pdf

This book presents a range of research projects focusing on innovative numerical and modeling strategies for the nonlinear analysis of structures and metamaterials. The topics covered concern various analysis approaches based on classical finite element solutions, structural optimization, and analytical solutions in order to present a comprehensive overview of the latest scientific advances. Although based on pioneering research, the contributions are focused on immediate and direct application in practice, providing valuable tools for researchers and practicing professionals alike.

Author : Sharon Burton,Nelda Shelton
Publisher : Unknown
Page : 0 pages
File Size : 55,9 Mb
Release : 2011
Category : Mathematics
ISBN : 0538450681

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Practical Math Applications by Sharon Burton,Nelda Shelton Pdf

Author : Nina H. Mitchell
Publisher : Cengage Learning
Page : 233 pages
File Size : 48,7 Mb
Release : 2004
Category : Science
ISBN : 140183549X

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Mathematical Applications in Agriculture by Nina H. Mitchell Pdf

This book teaches the many mathematical applications used in crop production, livestock production and financial management in the agriculture business, skills which are essential for success as an agriculture professional. By giving readers a solid foundation in arithmetic, applied geometry and algebra as they relate to agriculture, the material presented will help develop their ability to think through the many mathematical challenges they will face. Case studies, sample problems, charts, and graphs fully illustrate the important concepts presented.

Author : Lancelot Thomas Hogben
Publisher : Unknown
Page : 700 pages
File Size : 55,9 Mb
Release : 1946
Category : Civilization
ISBN : UOM:39015065517032

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Mathematics for the Million by Lancelot Thomas Hogben Pdf

Author : Arlie O. Petters,Xiaoying Dong
Publisher : Springer
Page : 483 pages
File Size : 46,5 Mb
Release : 2016-06-17
Category : Mathematics
ISBN : 9781493937837

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An Introduction to Mathematical Finance with Applications by Arlie O. Petters,Xiaoying Dong Pdf

This textbook aims to fill the gap between those that offer a theoretical treatment without many applications and those that present and apply formulas without appropriately deriving them. The balance achieved will give readers a fundamental understanding of key financial ideas and tools that form the basis for building realistic models, including those that may become proprietary. Numerous carefully chosen examples and exercises reinforce the student’s conceptual understanding and facility with applications. The exercises are divided into conceptual, application-based, and theoretical problems, which probe the material deeper. The book is aimed toward advanced undergraduates and first-year graduate students who are new to finance or want a more rigorous treatment of the mathematical models used within. While no background in finance is assumed, prerequisite math courses include multivariable calculus, probability, and linear algebra. The authors introduce additional mathematical tools as needed. The entire textbook is appropriate for a single year-long course on introductory mathematical finance. The self-contained design of the text allows for instructor flexibility in topics courses and those focusing on financial derivatives. Moreover, the text is useful for mathematicians, physicists, and engineers who want to learn finance via an approach that builds their financial intuition and is explicit about model building, as well as business school students who want a treatment of finance that is deeper but not overly theoretical.

Author : Berinderjeet Kaur,Jaguthsing Dindyal
Publisher : World Scientific
Page : 351 pages
File Size : 50,8 Mb
Release : 2010
Category : Mathematics
ISBN : 9789814313346

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Mathematical Applications and Modelling by Berinderjeet Kaur,Jaguthsing Dindyal Pdf

Mathematical Applications and Modelling is the second in the series of the yearbooks of the Association of Mathematics Educators in Singapore. The book is unique as it addresses a focused theme on mathematics education. The objective is to illustrate the diversity within the theme and present research that translates into classroom pedagogies. --

Author : Francesco Marmo,Salvatore Sessa,Emilio Barchiesi,Mario Spagnuolo
Publisher : Unknown
Page : 0 pages
File Size : 47,6 Mb
Release : 2021
Category : Electronic
ISBN : 3030427080

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Mathematical Applications in Continuum and Structural Mechanics by Francesco Marmo,Salvatore Sessa,Emilio Barchiesi,Mario Spagnuolo Pdf

This book presents a range of research projects focusing on innovative numerical and modeling strategies for the nonlinear analysis of structures and metamaterials. The topics covered concern various analysis approaches based on classical finite element solutions, structural optimization, and analytical solutions in order to present a comprehensive overview of the latest scientific advances. Although based on pioneering research, the contributions are focused on immediate and direct application in practice, providing valuable tools for researchers and practicing professionals alike. .

Author : Susanna Epp
Publisher : Unknown
Page : 984 pages
File Size : 50,8 Mb
Release : 2019
Category : Electronic
ISBN : 0357114086

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Discrete Mathematics with Applications, Metric Edition by Susanna Epp Pdf

DISCRETE MATHEMATICS WITH APPLICATIONS, 5th Edition, Metric Edition explains complex, abstract concepts with clarity and precision and provides a strong foundation for computer science and upper-level mathematics courses of the computer age. Author Susanna Epp presents not only the major themes of discrete mathematics, but also the reasoning that underlies mathematical thought. Students develop the ability to think abstractly as they study the ideas of logic and proof. While learning about such concepts as logic circuits and computer addition, algorithm analysis, recursive thinking, computability, automata, cryptography and combinatorics, students discover that the ideas of discrete mathematics underlie and are essential to today's science and technology.

Author : Jay L. Devore,Kenneth N. Berk,Matthew A. Carlton
Publisher : Springer Nature
Page : 981 pages
File Size : 53,5 Mb
Release : 2021-04-29
Category : Mathematics
ISBN : 9783030551568

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Modern Mathematical Statistics with Applications by Jay L. Devore,Kenneth N. Berk,Matthew A. Carlton Pdf

This 3rd edition of Modern Mathematical Statistics with Applications tries to strike a balance between mathematical foundations and statistical practice. The book provides a clear and current exposition of statistical concepts and methodology, including many examples and exercises based on real data gleaned from publicly available sources. Here is a small but representative selection of scenarios for our examples and exercises based on information in recent articles: Use of the “Big Mac index” by the publication The Economist as a humorous way to compare product costs across nations Visualizing how the concentration of lead levels in cartridges varies for each of five brands of e-cigarettes Describing the distribution of grip size among surgeons and how it impacts their ability to use a particular brand of surgical stapler Estimating the true average odometer reading of used Porsche Boxsters listed for sale on www.cars.com Comparing head acceleration after impact when wearing a football helmet with acceleration without a helmet Investigating the relationship between body mass index and foot load while running The main focus of the book is on presenting and illustrating methods of inferential statistics used by investigators in a wide variety of disciplines, from actuarial science all the way to zoology. It begins with a chapter on descriptive statistics that immediately exposes the reader to the analysis of real data. The next six chapters develop the probability material that facilitates the transition from simply describing data to drawing formal conclusions based on inferential methodology. Point estimation, the use of statistical intervals, and hypothesis testing are the topics of the first three inferential chapters. The remainder of the book explores the use of these methods in a variety of more complex settings. This edition includes many new examples and exercises as well as an introduction to the simulation of events and probability distributions. There are more than 1300 exercises in the book, ranging from very straightforward to reasonably challenging. Many sections have been rewritten with the goal of streamlining and providing a more accessible exposition. Output from the most common statistical software packages is included wherever appropriate (a feature absent from virtually all other mathematical statistics textbooks). The authors hope that their enthusiasm for the theory and applicability of statistics to real world problems will encourage students to pursue more training in the discipline.