Whitehead An Introduction To Mathematics Pdf

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1958
in Law

An Introduction to Mathematics

Author: Alfred North Whitehead

Publisher: New York : Oxford University Press, 1958 [c1948]

ISBN:

Category: Law

Page: 191

View: 830

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Examines the history and development of mathematical concepts and how the contemporary student may use them

2002-08-22
in Mathematics
Timothy Gowers

Mathematics: A Very Short Introduction

Author: Timothy Gowers

Publisher: Oxford Paperbacks

ISBN:

Category: Mathematics

Page: 143

View: 930

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The aim of this volume is to explain the differences between research-level mathematics and the maths taught at school. Most differences are philosophical and the first few chapters are about general aspects of mathematical thought.

2016-06-17
in Mathematics
Arlie O. Petters

An Introduction to Mathematical Finance with Applications

Understanding and Building Financial Intuition

Author: Arlie O. Petters

Publisher: Springer

ISBN:

Category: Mathematics

Page: 483

View: 805

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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.

2000-03-06
in Mathematics
Edward A. Bender

An Introduction to Mathematical Modeling

Author: Edward A. Bender

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 256

View: 357

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Accessible text features over 100 reality-based examples pulled from the science, engineering and operations research fields. Prerequisites: ordinary differential equations, continuous probability. Numerous references. Includes 27 black-and-white figures. 1978 edition.

2012-02-23
in Mathematics
J. Tinsley Oden

An Introduction to Mathematical Modeling

A Course in Mechanics

Author: J. Tinsley Oden

Publisher: John Wiley & Sons

ISBN:

Category: Mathematics

Page: 348

View: 807

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A modern approach to mathematical modeling, featuring unique applications from the field of mechanics An Introduction to Mathematical Modeling: A Course in Mechanics is designed to survey the mathematical models that form the foundations of modern science and incorporates examples that illustrate how the most successful models arise from basic principles in modern and classical mathematical physics. Written by a world authority on mathematical theory and computational mechanics, the book presents an account of continuum mechanics, electromagnetic field theory, quantum mechanics, and statistical mechanics for readers with varied backgrounds in engineering, computer science, mathematics, and physics. The author streamlines a comprehensive understanding of the topic in three clearly organized sections: Nonlinear Continuum Mechanics introduces kinematics as well as force and stress in deformable bodies; mass and momentum; balance of linear and angular momentum; conservation of energy; and constitutive equations Electromagnetic Field Theory and Quantum Mechanics contains a brief account of electromagnetic wave theory and Maxwell's equations as well as an introductory account of quantum mechanics with related topics including ab initio methods and Spin and Pauli's principles Statistical Mechanics presents an introduction to statistical mechanics of systems in thermodynamic equilibrium as well as continuum mechanics, quantum mechanics, and molecular dynamics Each part of the book concludes with exercise sets that allow readers to test their understanding of the presented material. Key theorems and fundamental equations are highlighted throughout, and an extensive bibliography outlines resources for further study. Extensively class-tested to ensure an accessible presentation, An Introduction to Mathematical Modeling is an excellent book for courses on introductory mathematical modeling and statistical mechanics at the upper-undergraduate and graduate levels. The book also serves as a valuable reference for professionals working in the areas of modeling and simulation, physics, and computational engineering.

2013-06-01
in Business & Economics
Ali Hirsa

An Introduction to the Mathematics of Financial Derivatives

Author: Ali Hirsa

Publisher:

ISBN:

Category: Business & Economics

Page: 444

View: 384

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An Introduction to the Mathematics of Financial Derivatives is a popular, intuitive text that eases the transition between basic summaries of financial engineering to more advanced treatments that use stochastic calculus. Requiring only a passing knowledge of calculus and probability, it takes readers on a tour of advanced financial engineering. This classic title has been revised by Ali Hirsa, who accentuates its well-known strengths while introducing new subjects, updating others, and bringing new continuity to the whole. Popular with readers because it emphasizes intuition and common sense, An Introduction to the Mathematics of Financial Derivatives remains the only "introductory" text that can appeal to people outside the mathematics and physics communities as it explains the hows and whys of practical finance problems. Facilitates readers' understanding of underlying mathematical and theoretical models by presenting a mixture of theory and applications with hands-on learning Foregrounds an intuitive orientation, breaking up complex mathematics concepts in easy-to-understand notions Encourages use of discrete chapters which can be used as complementary readings on different topics, offering flexibility in learning and teaching

2012-11-08
in Business & Economics
Akihito Asano

An Introduction to Mathematics for Economics

Author: Akihito Asano

Publisher: Cambridge University Press

ISBN:

Category: Business & Economics

Page:

View: 436

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An Introduction to Mathematics for Economics introduces quantitative methods to students of economics and finance in a succinct and accessible style. The introductory nature of this textbook means a background in economics is not essential, as it aims to help students appreciate that learning mathematics is relevant to their overall understanding of the subject. Economic and financial applications are explained in detail before students learn how mathematics can be used, enabling students to learn how to put mathematics into practice. Starting with a revision of basic mathematical principles the second half of the book introduces calculus, emphasising economic applications throughout. Appendices on matrix algebra and difference/differential equations are included for the benefit of more advanced students. Other features, including worked examples and exercises, help to underpin the readers' knowledge and learning. Akihito Asano has drawn upon his own extensive teaching experience to create an unintimidating yet rigorous textbook.

2002-07-31
in Computers
Peter B. Andrews

An Introduction to Mathematical Logic and Type Theory

Author: Peter B. Andrews

Publisher: Springer Science & Business Media

ISBN:

Category: Computers

Page: 390

View: 733

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In case you are considering to adopt this book for courses with over 50 students, please contact [email protected] for more information. This introduction to mathematical logic starts with propositional calculus and first-order logic. Topics covered include syntax, semantics, soundness, completeness, independence, normal forms, vertical paths through negation normal formulas, compactness, Smullyan's Unifying Principle, natural deduction, cut-elimination, semantic tableaux, Skolemization, Herbrand's Theorem, unification, duality, interpolation, and definability. The last three chapters of the book provide an introduction to type theory (higher-order logic). It is shown how various mathematical concepts can be formalized in this very expressive formal language. This expressive notation facilitates proofs of the classical incompleteness and undecidability theorems which are very elegant and easy to understand. The discussion of semantics makes clear the important distinction between standard and nonstandard models which is so important in understanding puzzling phenomena such as the incompleteness theorems and Skolem's Paradox about countable models of set theory. Some of the numerous exercises require giving formal proofs. A computer program called ETPS which is available from the web facilitates doing and checking such exercises. Audience: This volume will be of interest to mathematicians, computer scientists, and philosophers in universities, as well as to computer scientists in industry who wish to use higher-order logic for hardware and software specification and verification.

2014-07-23
in Mathematics
Mimmo Iannelli

An Introduction to Mathematical Population Dynamics

Along the trail of Volterra and Lotka

Author: Mimmo Iannelli

Publisher: Springer

ISBN:

Category: Mathematics

Page: 346

View: 298

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This book is an introduction to mathematical biology for students with no experience in biology, but who have some mathematical background. The work is focused on population dynamics and ecology, following a tradition that goes back to Lotka and Volterra, and includes a part devoted to the spread of infectious diseases, a field where mathematical modeling is extremely popular. These themes are used as the area where to understand different types of mathematical modeling and the possible meaning of qualitative agreement of modeling with data. The book also includes a collections of problems designed to approach more advanced questions. This material has been used in the courses at the University of Trento, directed at students in their fourth year of studies in Mathematics. It can also be used as a reference as it provides up-to-date developments in several areas.

2012-06-14
in Science
Mark Colyvan

An Introduction to the Philosophy of Mathematics

Author: Mark Colyvan

Publisher: Cambridge University Press

ISBN:

Category: Science

Page: 200

View: 258

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This introduction to the philosophy of mathematics focuses on contemporary debates in an important and central area of philosophy. The reader is taken on a fascinating and entertaining journey through some intriguing mathematical and philosophical territory, including such topics as the realism/anti-realism debate in mathematics, mathematical explanation, the limits of mathematics, the significance of mathematical notation, inconsistent mathematics and the applications of mathematics. Each chapter has a number of discussion questions and recommended further reading from both the contemporary literature and older sources. Very little mathematical background is assumed and all of the mathematics encountered is clearly introduced and explained using a wide variety of examples. The book is suitable for an undergraduate course in philosophy of mathematics and, more widely, for anyone interested in philosophy and mathematics.

2010-02-01
in Mathematics
Dino Mandrioli

Mathematical Logic for Computer Science

An Introduction

Author: Dino Mandrioli

Publisher: Società Editrice Esculapio

ISBN:

Category: Mathematics

Page: 80

View: 490

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In the recent decades mathematical logic has become more and more important in computer science and, in general, in system engineering. In fact, by definition, it is the wey of expressing our reasoning in terms of mathematical formalism, thus supplying it with the typical rigor and precision of mathematics. Not by chance, automatic information processing is now pervasive and we find it practically in any human activity and artefact, from embedded, safety-critical systems, to e-commerce, to social networks, etc. Such a pervasiveness and the consequent heterogeneity of the involved systems mandate much more generality in the formalism supporting the engineering activity than traditional specialized models such as, e.g., those for electric circuits and mechanical engines: mathematical logic, paired with computer applications, provides such generality

2016-08-23
in Mathematics
Jonathan M. Borwein

An Introduction to Modern Mathematical Computing

With MapleTM

Author: Jonathan M. Borwein

Publisher: Springer

ISBN:

Category: Mathematics

Page: 216

View: 973

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Thirty years ago mathematical, as opposed to applied numerical, computation was difficult to perform and so relatively little used. Three threads changed that: the emergence of the personal computer; the discovery of fiber-optics and the consequent development of the modern internet; and the building of the Three "M's" Maple, Mathematica and Matlab. We intend to persuade that Maple and other like tools are worth knowing assuming only that one wishes to be a mathematician, a mathematics educator, a computer scientist, an engineer or scientist, or anyone else who wishes/needs to use mathematics better. We also hope to explain how to become an `experimental mathematician' while learning to be better at proving things. To accomplish this our material is divided into three main chapters followed by a postscript. These cover elementary number theory, calculus of one and several variables, introductory linear algebra, and visualization and interactive geometric computation.

2017-04-06
in Mathematics
Alan Graham

Basic Mathematics: An Introduction: Teach Yourself

Author: Alan Graham

Publisher: Teach Yourself

ISBN:

Category: Mathematics

Page: 304

View: 490

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Basic Mathematics teaches you all the maths you need for everyday situations. If you are terrified by maths, this is the book for you. Do you shy away from using numbers? Basic Mathematics can help. An easy-to-follow guide, it will ensure you gain the confidence you need to tackle maths and overcome your fears. It offers simple explanations of all the key areas, including decimals, percentages, measurements and graphs, and applies them to everyday situations, games and puzzles to help you understand mathematics quickly and enjoyably. Everything you need is here in this one book. Each chapter includes clear explanations, worked examples and test questions. At the end of the book there are challenges and games to give you new and interesting ways to practise your new skills.

2014-12-15
in Mathematics
Marilyn A. Reba

Puzzles, Paradoxes, and Problem Solving

An Introduction to Mathematical Thinking

Author: Marilyn A. Reba

Publisher: CRC Press

ISBN:

Category: Mathematics

Page: 605

View: 230

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A Classroom-Tested, Alternative Approach to Teaching Math for Liberal Arts Puzzles, Paradoxes, and Problem Solving: An Introduction to Mathematical Thinking uses puzzles and paradoxes to introduce basic principles of mathematical thought. The text is designed for students in liberal arts mathematics courses. Decision-making situations that progress

1986-01-01
in Mathematics
Gilbert Strang

Introduction to Applied Mathematics

Author: Gilbert Strang

Publisher: Wellesley-Cambridge Press

ISBN:

Category: Mathematics

Page: 760

View: 384

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Renowned applied mathematician Gilbert Strang teaches applied mathematics with the clear explanations, examples and insights of an experienced teacher. This book progresses steadily through a range of topics from symmetric linear systems to differential equations to least squares and Kalman filtering and optimization. It clearly demonstrates the power of matrix algebra in engineering problem solving. This is an ideal book (beloved by many readers) for a first course on applied mathematics and a reference for more advanced applied mathematicians. The only prerequisite is a basic course in linear algebra.

2007
in Mathematics
Joseph J. Rotman

Journey Into Mathematics

An Introduction to Proofs

Author: Joseph J. Rotman

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 237

View: 201

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This treatment covers the mechanics of writing proofs, the area and circumference of circles, and complex numbers and their application to real numbers. 1998 edition.

2014-05-05
in Science
Paul I. Palmer

Essential Maths for Geoscientists

An Introduction

Author: Paul I. Palmer

Publisher: John Wiley & Sons

ISBN:

Category: Science

Page: 216

View: 709

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Maths for Geoscientists is an accessible, student-friendly introduction to the essential mathematics required by those students taking degree courses within the Geosciences. Clearly structured throughout, this book carefully guides the student step by step through the mathematics they will encounter and will provide numerous applied examples throughout to enhance students understanding and to place each technique into context. Opening with a chapter explaining the need for studying mathematics within geosciences the book then moves on to cover algebra, equations, solutions, logarithms and exponentials, statistics and probability, trigonometry, vectors and calculus. The final chapter helps to bring it all together and provides the students with sample projects to test their knowledge. Worked applied examples are included in each chapter along with applied problem questions which are a mix of straightforward maths questions, word questions (developing maths to words), and more involved questions that involve the manipulation and interpretation of real and synthetic data.

2009-03-01
in Mathematics
Stephen Cole Kleene

Introduction to Metamathematics

Author: Stephen Cole Kleene

Publisher: Ishi Press

ISBN:

Category: Mathematics

Page: 576

View: 623

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Stephen Cole Kleene was one of the greatest logicians of the twentieth century and this book is the influential textbook he wrote to teach the subject to the next generation. It was first published in 1952, some twenty years after the publication of Godel's paper on the incompleteness of arithmetic, which marked, if not the beginning of modern logic. The 1930s was a time of creativity and ferment in the subject, when the notion of computable moved from the realm of philosophical speculation to the realm of science. This was accomplished by the work of Kurt Gode1, Alan Turing, and Alonzo Church, who gave three apparently different precise definitions of computable. When they all turned out to be equivalent, there was a collective realization that this was indeed the right notion. Kleene played a key role in this process. One could say that he was there at the beginning of modern logic. He showed the equivalence of lambda calculus with Turing machines and with Godel's recursion equations, and developed the modern machinery of partial recursive functions. This textbook played an invaluable part in educating the logicians of the present. It played an important role in their own logical education."

1970
in Mathematics
Bevan K. Youse

An Introduction to Mathematics

Author: Bevan K. Youse

Publisher:

ISBN:

Category: Mathematics

Page: 287

View: 832

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2017-05-04
in Mathematics
Alfred North Whitehead

An Introduction to Mathematics

Author: Alfred North Whitehead

Publisher: Courier Dover Publications

ISBN:

Category: Mathematics

Page: 176

View: 881

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Concise volume for general students by prominent philosopher and mathematician explains what math is and does, and how mathematicians do it. "Lucid and cogent ... should delight you." — The New York Times. 1911 edition.