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- Discrete mathematics and its applications by Kenneth H. Rosen.Call Number: QA39.3 .R67 2019ISBN: 9781260091991Publication Date: 2019TABLE OF CONTENTS :

1. The foundations logic and proofs -- 2. Basic structures: sets, functions, sequences, sums, and matrices -- 3. Algorithms -- 4. Number theory and cryptography -- 5. Induction and recursion -- 6. Counting -- 7. Discrete probability -- 8. Advanced counting techniques -- 9. Relatinos -- 10. Graphs -- 11. Trees -- 12. Boolean algebra -- 13. Modeling computation --Appendices --Suggested readings -- Answers to odd-numbered exercises -- index of biographies --index. - Doing Mathematics: convention, subject, calculation, analogy by Martin H. KriegerCall Number: QA11.2 .K75 2015ISBN: 9814571849Publication Date: 2015-01-21Doing Mathematics discusses some ways mathematicians and mathematical physicists do their work and the subject matters they uncover and fashion. The conventions they adopt, the subject areas they delimit, what they can prove and calculate about the physical world, and the analogies they discover and employ, all depend on the mathematics -- what will work out and what won't. The cases studied include the central limit theorem of statistics, the sound of the shape of a drum, the connections between algebra and topology, and the series of rigorous proofs of the stability of matter. The many and varied solutions to the two-dimensional Ising model of ferromagnetism make sense as a whole when they are seen in an analogy developed by Richard Dedekind in the 1880s to algebraicize Riemann's function theory; by Robert Langlands' program in number theory and representation theory; and, by the analogy between one-dimensional quantum mechanics and two-dimensional classical statistical mechanics. In effect, we begin to see 'an identity in a manifold presentation of profiles, ' as the phenomenologists would say.This second edition deepens the particular examples; it describe the practical role of mathematical rigor; it suggests what might be a mathematician's philosophy of mathematics; and, it shows how an 'ugly' first proof or derivation embodies essential features, only to be appreciated after many subsequent proofs. Natural scientists and mathematicians trade physical models and abstract objects, remaking them to suit their needs, discovering new roles for them as in the recent case of the Painlev transcendents, the Tracy-Widom distribution, and Toeplitz determinants. And mathematics has provided the models and analogies, the ordinary language, for describing the everyday world, the structure of cities, or God's infinitude.
- Finite mathematics for business, economics, life sciences, and social sciences by Raymond A. Barnett, Merritt College, Michael R. Ziegler, Marquette University, Karl E. Byleen, Marquette University.ISBN: 9781292062297Publication Date: 2015TABLE OF CONTENTS:

Preface, p.6 --Diagnostic Prerequisite Test, p.16 -- PART 1. A LIBRARY OF ELEMENTARY FUNCTIONS -- Chapter 1. Linear Equations and Graphs, p.18 -- Chapter 2. Functions and Graphs, p.58 -- PART 2. FINITE MATHEMATICS -- Chapter 3. Mathematics of Finance, p.142 -- Chapter 4. Systems of Linear Equations; Matrices, p.189 -- Chapter 5. Linear Inequalities and Linear Programming, p.271 -- Chapter 6. Linear Programming: The Simplex Method, p.301 -- Chapter 7. Logic, Sets, and Counting, p.361 -- Chapter 8. Probability, p.401 -- Chapter 9. Markov Chains, p.463 -- Chapter 10. Games and Decisions, p.503 -- Chapter 11. Data Description and Probability Distributions, p.536 --Appendix A. Basic Algebra Review, p.588 -- Appendix B. Special Topics, p.631 -- Appendix C. Tables, p.647 -- Answers, p.A-1 -- Index, p.I-1 -- Index of Applications, p.I-10. - Master algorithm : how the quest for the ultimate. Turkish. by Pedro Domingos ; çeviren Tufan Göbekçin.Call Number: Q387 .D6620 2017ISBN: 9786059200240Publication Date: 2017TABLE OF CONTENTS:

--Önsöz, p.13 -- 1. Bölüm: Yapay öğrenme devrimi, p. 27 -- 2. Bölüm: Master algoritma, p.53 -- 3. Bölüm: Hume'un tümevarım problemi, p.91 -- 4. Bölüm: Beyniniz nasıl öğrenir?, p.133 -- 5. Bölüm: Evrim: Doğanın öğrenen algoritması, p.165 -- 6. Bölüm: Muhterem Bayes'in kilisesinde, p.191 -- 7. Bölüm: Neye benziyorsan osun, p.231 -- 8. Bölüm: Öğretmen olmadan öğrenmek, p.263 -- 9. Bölüm: Yapbozun parçaları yerlerini buluyor, p.299 -- 10. Bölüm: Yapay öğrenme üzerine kurulu dünya, p.331 --Son söz, p.365. - Negative math : how mathematical rules can be positively bent. Turkish by Alberto A. Martínez ;çeviri Ekrem Emre Sezer.Call Number: QA155 .M2820 2017ISBN: 9786053121992Publication Date: 2017
- Our mathematical universe : my quest for the ultimate nature of reality by Max TegmarkCall Number: QB981 .T44 2015ISBN: 9780241954638Publication Date: 2015"Max Tegmark leads us on an astonishing journey through past, present, and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and ground-breaking science, he not only helps us grasp his often mind-boggling theories (his website gives a flavor of how they might boggle the mind), but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last--here is a book for the full science-reading spectrum"-- Provided by publisher.
- Partial Differential Equations in Action by Sandro SalsaISBN: 3319312375Publication Date: 2017-09-14The book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics and engineering. It has evolved from courses offered on partial differential equations (PDEs) over the last several years at the Politecnico di Milano. These courses had a twofold purpose: on the one hand, to teach students to appreciate the interplay between theory and modeling in problems arising in the applied sciences, and on the other to provide them with a solid theoretical background in numerical methods, such as finite elements. Accordingly, this textbook is divided into two parts. The first part, chapters 2 to 5, is more elementary in nature and focuses on developing and studying basic problems from the macro-areas of diffusion, propagation and transport, waves and vibrations. In turn the second part, chapters 6 to 11, concentrates on the development of Hilbert spaces methods for the variational formulation and the analysis of (mainly) linear boundary and initial-boundary value problems. The third edition contains a few text and formulas revisions and new exercises.
- Spatial Point Patterns by Adrian Baddeley; Ege Rubak; Rolf TurnerCall Number: QA402 .B35 2016ISBN: 1482210207Publication Date: 2015-11-24Modern Statistical Methodology and Software for Analyzing Spatial Point Patterns Spatial Point Patterns: Methodology and Applications with R shows scientific researchers and applied statisticians from a wide range of fields how to analyze their spatial point pattern data. Making the techniques accessible to non-mathematicians, the authors draw on their 25 years of software development experiences, methodological research, and broad scientific collaborations to deliver a book that clearly and succinctly explains concepts and addresses real scientific questions. Practical Advice on Data Analysis and Guidance on the Validity and Applicability of Methods The first part of the book gives an introduction to R software, advice about collecting data, information about handling and manipulating data, and an accessible introduction to the basic concepts of point processes. The second part presents tools for exploratory data analysis, including non-parametric estimation of intensity, correlation, and spacing properties. The third part discusses model-fitting and statistical inference for point patterns. The final part describes point patterns with additional "structure," such as complicated marks, space-time observations, three- and higher-dimensional spaces, replicated observations, and point patterns constrained to a network of lines. Easily Analyze Your Own Data Throughout the book, the authors use their spatstat package, which is free, open-source code written in the R language. This package provides a wide range of capabilities for spatial point pattern data, from basic data handling to advanced analytic tools. The book focuses on practical needs from the user¿s perspective, offering answers to the most frequently asked questions in each chapter.
- Matlab by Stormy AttawayCall Number: QA297 .A87 2019ISBN: 9780128154793Publication Date: 2018-09-06MATLAB: A Practical Introduction to Programming and Problem Solving, winner of TAA's 2017 Textbook Excellence Award ("Texty"), guides the reader through both programming and built-in functions to easily exploit MATLAB's extensive capabilities for tackling engineering and scientific problems. Assuming no knowledge of programming, this book starts with programming concepts, such as variables, assignments, and selection statements, moves on to loops, and then solves problems using both the programming concept and the power of MATLAB. The fifth edition has been updated to reflect the functionality of the current version of MATLAB (R2018a), including the addition of local functions in scripts, the new string type, coverage of recently introduced functions to import data from web sites, and updates to the Live Editor and App Designer.
- Applied Stochastic Analysis by Weinan E; Tiejun Li; Eric Vanden-EijndenCall Number: QA274.2 .E23 2019ISBN: 9781470449339Publication Date: 2019-06-30This is a textbook for advanced undergraduate students and beginning graduate students in applied mathematics. It presents the basic mathematical foundations of stochastic analysis (probability theory and stochastic processes) as well as some important practical tools and applications (e.g., the connection with differential equations, numerical methods, path integrals, random fields, statistical physics, chemical kinetics, and rare events). The book strikes a nice balance between mathematical formalism and intuitive arguments, a style that is most suited for applied mathematicians. Readers can learn both the rigorous treatment of stochastic analysis as well as practical applications in modeling and simulation. Numerous exercises nicely supplement the main exposition.
- Infinite Powers by Steven StrogatzCall Number: QA303.2 .S78 2019ISBN: 9781328879981Publication Date: 2019-04-02NEW YORK TIMES BESTSELLER "Marvelous . . . an array of witty and astonishing stories . . . to illuminate how calculus has helped bring into being our contemporary world."--The Washington Post From preeminent math personality and author of The Joy of x, a brilliant and endlessly appealing explanation of calculus - how it works and why it makes our lives immeasurably better. Without calculus, we wouldn't have cell phones, TV, GPS, or ultrasound. We wouldn't have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket. Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz's brilliantly creative, down-to-earth history shows that calculus is not about complexity; it's about simplicity. It harnesses an unreal number--infinity--to tackle real-world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous. Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to make electricity with magnets; how to ensure your rocket doesn't miss the moon; how to turn the tide in the fight against AIDS. As Strogatz proves, calculus is truly the language of the universe. By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew.
- Beyond the Triangle by Sabir Umarov; Marjorie G. Hahn; Kei KobayashiCall Number: QA274.75 .U43 2018ISBN: 9789813230910Publication Date: 2017-12-01The book is devoted to the fundamental relationship between three objects: a stochastic process, stochastic differential equations driven by that process and their associated Fokker-Planck-Kolmogorov equations. This book discusses wide fractional generalizations of this fundamental triple relationship, where the driving process represents a time-changed stochastic process; the Fokker-Planck-Kolmogorov equation involves time-fractional order derivatives and spatial pseudo-differential operators; and the associated stochastic differential equation describes the stochastic behavior of the solution process. It contains recent results obtained in this direction.This book is important since the latest developments in the field, including the role of driving processes and their scaling limits, the forms of corresponding stochastic differential equations, and associated FPK equations, are systematically presented. Examples and important applications to various scientific, engineering, and economics problems make the book attractive for all interested researchers, educators, and graduate students.

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- A-level further mathematics statistics by John du Feu ; series editors Roger Porkess and Catherine Berry.ISBN: 9781471853029Publication Date: 2017Exam Board: MEILevel: A-levelSubject: MathematicsFirst Teaching: September 2017First Exam: June 2018 Help students to develop their knowledge and apply their reasoning to mathematical problems with textbooks that draw on the well-known MEI (Mathematics in Education and Industry) series, updated and tailored to the 2017 OCR (MEI) specification and developed by subject experts and MEI.- Ensure targeted development of reasoning and problem-solving skills with plenty of practice questions and structured exercises that build mathematical skills and techniques.- Build connections between topics, u.
- Cambridge o Level Mathematics by Heather West; Mike Handbury; John Jeskins; Jean MatthewsISBN: 1471859622Publication Date: 2016-04-26Offer full syllabus coverage with a course that has been especially written for the international student, and is endorsed by Cambridge Assessment International Education. - Consolidate learning with plenty of practice questions and exercises throughout - Support revision through a range of examination-style questions and with 'Check you can' boxes - Fully prepare your students for non-calculator questions, with suitable questions marked throughout
- Critical Mathematics Education by Paul Ernest; Bharath SriramanISBN: 1681232618Publication Date: 2016-01-01A volume in Cognition, Equity, & Society: International Perspectives Series Editors: Bharath Sriraman, University of Montana and Lyn English, Queensland University of Technology Mathematics is traditionally seen as the most neutral of disciplines, the furthest removed from the arguments and controversy of politics and social life. However, critical mathematics challenges these assumptions and actively attacks the idea that mathematics is pure, objective, and value neutral. It argues that history, society, and politics have shaped mathematics-not only through its applications and uses but also through molding its concepts, methods, and even mathematical truth and proof, the very means of establishing truth. Critical mathematics education also attacks the neutrality of the teaching and learning of mathematics, showing how these are value laden activities indissolubly linked to social and political life. Instead, it argues that the values of openness, dialogicality, criticality towards received opinion, empowerment of the learner, and social/political engagement and citizenship are necessary dimensions of the teaching and learning of mathematics, if it is to contribute towards democracy and social justice. This book draws together critical theoretic contributions on mathematics and mathematics education from leading researchers in the field. Recurring themes include: The natures of mathematics and critical mathematics education, issues of epistemology and ethics; Ideology, the hegemony of mathematics, ethnomathematics, and real life education; Capitalism, globalization, politics, social class, habitus, citizenship and equity. The book demonstrates the links between these themes and the discipline of mathematics, and its critical teaching and learning. The outcome is a groundbreaking collection unified by a shared concern with critical perspectives of mathematics and education, and of the ways they impact on practice."
- Focus on Mathematics Education Research by Keith Patterson (Editor)ISBN: 9781536118261Publication Date: 2017-06-01Lecturing quality and professional development for lecturers has received growing attention within international undergraduate mathematics forums. The use of videos to inform teacher-practice has been common in research and in pre-service teacher education for many years. However, more recent interest has focused on how videos may be used for professional development of teachers, as separate from the more common research focus. It is indisputable that the verification of the gained knowledge constitutes a significant part of educational process. It not only provides the pupils and their parents with important information on the level of gained capabilities, but it is also a form of control for a teacher who can on the basis of them assess the efficiency of the methods used in the teaching process. Early mathematics education is foundational and attention to quality early math education is vital to ensure students succeed in schools. This book also looks at an innovative approach designed for mathematics in chemistry degree courses, which takes advantage of the Laplace Transform versatility. Strong content knowledge not only allows mathematics teachers to recognize students misconceptions, but it also enables them to direct students to a deeper understanding of the concepts involved. There is empirical evidence to indicate that mathematics teachers who possess deep content knowledge in the subject area tend to have greater repertoire of effective instructional strategies. Since the late eighties, research on the history of mathematics education in Spain has experienced an increase. The increase of calls for research projects both at national and regional level, has contributed to the creation of research groups and it has injected economic resources to research in this field.
- The Mathematics of Mathematics by Wolff-Michael RothISBN: 9789463009263Publication Date: 2017-01-26This book takes up where L. S. Vygotsky has left off during the last few months of his life, when he renounced much of what he had done before. A month before Vygotsky died, he wrote in his notebook that he felt like Moses who had seen the promised land but was never allowed to set foot on it. The vision Vygotsky laid out during his final days had been influenced by his readings of the Dutch philosopher Baruch Spinoza and a book by Karl Marx published for the first time a year before Vygotsky died. In the present book, the author lays out a view of mathematics based on a monist view of knowing, learning, and development. Just as the essence of what is specifically human, the mathematics of mathematics exists in the ensemble of societal relations. For the individual, this means that mathematical thinking and reasoning was a society-typical relation with another person first, often the teacher. Using data from a variety of situations, including school students as well as scientists, the book develops some fundamental concepts and categories for mathematics education research, including the thinking body, sociogenesis, the intra-intersubjective field, perezivanie (experience), obučenie (teaching | learning), and drama.
- Research in Applied Mathematics by Zhong WangISBN: 9781634857215Publication Date: 2017-01-01This book presents current research in the field of applied mathematics. Topics discussed include, Linear Systems, the Discrete Davey-Stewart System, Kukles Systems, nonlinear equations, differential equations, and many other advanced and relevant topics in mathematics.

- Dictionary of Scientists by Market House Books (Editor)Call Number: Q141 .D528 1999ISBN: 9780192800862Publication Date: 1999-06-24From Archimedes and Copernicus to Stephen Hawking and Stephen Jay Gould, this is the most authoritative and up-to-date biography dictionary of scientists currently available. Compact yet comprehensive, it will be invaluable reference for scientists, students, and anyone with a generalinterest in science.Over 1,300 entries, spanning over 2,500 yearsInternational range covers all areas of science, from physics and astronomy to medicine and ecology, including key figures in the fields of mathematics and technologyClear explanations of the science itself and its historical significance.Includes all Nobel Laureates in physics, chemistry, physiology, and medicineComprehensive index of topics, and extensive network of cross-references to related entries

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