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The Truth Detective: How to make sense of a world that doesn't add up
by Tim Harford'Tim Harford is peerless at making sense of a complicated world and our place within it. This is a book that all children should read' - Matthew Syed-> Did you know that a toy spaceship can teach you about inflation?-> Or that a pooping cow can show you how to invest your pocket money?-> And that even the greatest detectives have been fooled by fake news and dancing fairies?The world is often full of bamboozling headlines and numbers that don't add up. But don't panic. Within these pages you will transform into a Truth Detective, hunting down the truth about the world around you. You will meet heroic truth detectives, such as Florence Nightingale who started a revolution with a pie chart. You will encounter dastardly villains who have tried to trip us up with dodgy data and misinformation. And you will learn how being smart and savvy with numbers, will help you be smart and savvy about everything else in life too.So grab your detective cap, pick up your magnifying glass and start seeing the world like never before.A must read for curious kids from presenter of BBC Radio 4's "More or Less", Tim Harford and with wonderful illustrations to enjoy by Ollie Mann.
The Truth Detective: How to make sense of a world that doesn't add up
by Tim Harford'Tim Harford is peerless at making sense of a complicated world and our place within it. This is a book that all children should read' - Matthew Syed-> Did you know that a toy spaceship can teach you about inflation?-> Or that a pooping cow can show you how to invest your pocket money?-> And that even the greatest detectives have been fooled by fake news and dancing fairies?The world is often full of bamboozling headlines and numbers that don't add up. But don't panic. Within these pages you will transform into a Truth Detective, hunting down the truth about the world around you. You will meet heroic truth detectives, such as Florence Nightingale who started a revolution with a pie chart. You will encounter dastardly villains who have tried to trip us up with dodgy data and misinformation. And you will learn how being smart and savvy with numbers, will help you be smart and savvy about everything else in life too.So grab your detective cap, pick up your magnifying glass and start seeing the world like never before.A must read for curious kids from presenter of BBC Radio 4's "More or Less", Tim Harford and with wonderful illustrations to enjoy by Ollie Mann.
Truth, Existence and Explanation: FilMat 2016 Studies in the Philosophy of Mathematics (Boston Studies in the Philosophy and History of Science #334)
by Mario Piazza Gabriele PulciniThis book contains more than 15 essays that explore issues in truth, existence, and explanation. It features cutting-edge research in the philosophy of mathematics and logic.Renowned philosophers, mathematicians, and younger scholars provide an insightful contribution to the lively debate in this interdisciplinary field of inquiry. The essays look at realism vs. anti-realism as well as inflationary vs. deflationary theories of truth. The contributors also consider mathematical fictionalism, structuralism, the nature and role of axioms, constructive existence, and generality. In addition, coverage also looks at the explanatory role of mathematics and the philosophical relevance of mathematical explanation.The book will appeal to a broad mathematical and philosophical audience. It contains work from FilMat, the Italian Network for the Philosophy of Mathematics. These papers collected here were also presented at their second international conference, held at the University of Chieti-Pescara, May 2016.
Truth or Beauty
by David OrrellFor millennia, scientists and philosophers have strived to show that the universe is governed by a few simple principles. These principles are not derived from science. They do not come from looking through telescopes or carefully examining the results generated by particle colliders. Rather,they are based on aesthetic laws and concepts such as symmetry, beauty, and unity. Scientist and author David Orrell considers how aesthetics have influenced the models we create in hopes of explaining our universe. His book begins with a look at early scientific thinkers, from the ancient Greeks to Galileo. The ancients constructed a concept of the world based on musical harmony;later thinkers overturned this concept, but replaced it with a program, based on Newton's "rational mechanics," to reduce the universe to a few simple equations. Orrell then turns to the scientific program of the twentieth century, culminating in supersymmetric string theory, which was againinfluenced by deep aesthetic principles. In a final section of the book, Orrell broadens his discussion to other fields of research, including economics, architecture, and health. Recent history has shown us what happens when financiers rely on a model of economics that resembles what a good theory"should look like" rather than the messy reality of human interaction. Ideas of mathematical elegance have inspired, entranced, and "sometimes misled" thinkers in their desire to find the laws that govern our universe. Orrell evaluates these aesthetic principles as a means of understanding the structure of the universe - let alone messy human society - and questionswhether they reflect an accurate way to understand our world. Truth or Beauty comes at an interesting period, when the multi-billion-dollar Large Hadron Collider in Switzerland has been designed to test the existence of exotic phenomena such as supersymmetric particles. Will these too turn out to be nothing more than a beautiful illusion?
Truth-Seeking by Abduction (Synthese Library #400)
by Ilkka NiiniluotoThis book examines the philosophical conception of abductive reasoning as developed by Charles S. Peirce, the founder of American pragmatism. It explores the historical and systematic connections of Peirce's original ideas and debates about their interpretations. Abduction is understood in a broad sense which covers the discovery and pursuit of hypotheses and inference to the best explanation. The analysis presents fresh insights into this notion of reasoning, which derives from effects to causes or from surprising observations to explanatory theories.The author outlines some logical and AI approaches to abduction as well as studies various kinds of inverse problems in astronomy, physics, medicine, biology, and human sciences to provide examples of retroductions and abductions. The discussion covers also everyday examples with the implication of this notion in detective stories, one of Peirce’s own favorite themes.The author uses Bayesian probabilities to argue that explanatory abduction is a method of confirmation. He uses his own account of truth approximation to reformulate abduction as inference which leads to the truthlikeness of its conclusion. This allows a powerful abductive defense of scientific realism. This up-to-date survey and defense of the Peircean view of abduction may very well help researchers, students, and philosophers better understand the logic of truth-seeking.
Try It! Even More Math Problems for All
by Jerry KaplanThis is not your typical math book.Try It! Even More Math Problems for All is the third of three collections of offbeat, open-ended problems designed to make even the most math-averse student excited about working through these challenging yet accessible problems.The Hints and Solutions section guides you to probe, suggest, and encourage students to explore even their most unusual insights on the way to solving these 25 new, illustrated problems of varying difficulty. As a result, you will be able to motivate your students to think creatively on their own and to engage in teamwork. And when students solve a problem, you will see and hear their accomplishments.Perfect for any math classroom, club, after school activity, or coaching session, Try It! celebrates not only the destination, but the journey, giving students a chance to think differently, and, above all, have fun!Can’t get enough? Volume 1 in the series, Try It! Math Problems for All, and Volume 2, Try It! More Math Problems for All, are also available at Routledge.com.Optional Student Workbook PacksIn addition to this teachers' guide, companion student workbooks are available in packs of ten. The student workbooks feature ample room for student responses and notes, make reviewing and providing feedback on student work easy, provide students with a quick reference to use during discussions, and they save time — there is no need to reproduce student handouts.
Try It! Math Problems for All
by Jerry KaplanThis is not your typical math book. Breaking away from the standard drill and practice routine, Try It! Math Problems for All is a collection of offbeat, open-ended math problems designed to make even the most math-averse student excited about working through these challenging yet accessible problems. The 25 illustrated problems vary in difficulty, motivating students to think creatively on their own, or to engage in teamwork and cooperation within a group, while the Hints and Solutions section guides teachers to probe, suggest, and encourage students to explore even their most unusual insights on the way to a solution. Perfect for any math classroom, club, after-school activity, or coaching session, Try It! celebrates not only the destination, but the journey, giving students a chance to relax, think differently, and, above all, have fun! Optional Student Workbook Packs In addition to this teacher's guide, companion student workbooks are available in packs of ten. The student workbooks feature ample room for student responses and notes, make reviewing and providing feedback on student work easier than ever, provide students with an easy-to-use reference to use during discussions, and save time, as there is no need to reproduce student handouts.
Try It! More Math Problems for All
by Jerry KaplanThis is not your typical math book. Try It! More Math Problems for All is the second of three collections of offbeat, open-ended problems designed to make even the most math-averse student excited about working through these challenging yet accessible problems. These are 25 new, illustrated problems varying in difficulty. They will motivate your students to think creatively on their own and to engage in teamwork. The Hints and Solutions section guides you to probe, suggest, and encourage students to explore even their most unusual insights on the way to a solution. And when students solve a problem, you will see and hear their accomplishments. Perfect for any math classroom, club, after school activity, or coaching session, Try It! celebrates not only the destination, but the journey, giving students a chance to think differently, and, above all, have fun! Can’t get enough? Volumes 1 and 3 in the series are also available at Routledge.com. Optional Student Workbook Packs In addition to this teachers' guide, companion student workbooks are available in packs of ten. The student workbooks feature ample room for student responses and notes, make reviewing and providing feedback on student work easy, provide students with a quick reference to use during discussions, and they save time — there is no need to reproduce student handouts.
Tuning the Snowflake Data Cloud: Optimizing Your Data Platform to Minimize Cost and Maximize Performance
by Andrew CarruthersThis project-oriented book presents a hands-on approach to identifying migration and performance issues with experience drawn from real-world examples. As you work through the book, you will develop skills, knowledge, and deep understanding of Snowflake tuning options and capabilities while preparing for later incorporation of additional Snowflake features as they become available. Your Snowflake platform will cost less to run and will improve your customer experience. Written by a seasoned Snowflake practitioner, this book is full of practical, hands-on guidance and advice specifically designed to further accelerate your Snowflake journey. Tuning the Snowflake Data Cloud provides you a pathway to success by equipping you with the skills, knowledge, and expertise needed to elevate your Snowflake experience. The book shows you how to leverage what you already know, adds what you don’t, and helps you apply it toward delivering for your Snowflake accounts. Read this book to embark on a voyage of advancement and equip your organization to deliver consistent Snowflake performance. What You Will Learn Recognize and understand the root cause of performance bottlenecks Know how to resolve performance issues Develop a deep understanding of Snowflake performance tuning options Reduce expensive mistakes, remediate poorly performing code Manage Snowflake costs
Turbulence and Self-Organization
by Mikhail Ya Marov Aleksander V. KolesnichenkoThe book deals with the development of continual models of turbulent natural media. Such models serve as a ground for the statement and numerical evaluation of the key problems of the structure and evolution of the numerous astrophysical and geophysical objects. The processes of ordering (self-organization) in an originally chaotic turbulent medium are addressed and treated in detail with the use of irreversible thermodynamics and stochastic dynamics approaches which underlie the respective models. Different examples of ordering set up in the natural environment and outer space are brought and thoroughly discussed, the main focus being given to the protoplanetary discs formation and evolution.
The Turbulence Problem: A Persistent Riddle in Historical Perspective (SpringerBriefs in History of Science and Technology)
by Michael EckertOn the road toward a history of turbulence, this book focuses on what the actors in this research field have identified as the “turbulence problem”. Turbulent flow rose to prominence as one of the most persistent challenges in science. At different times and in different social and disciplinary settings, the nature of this problem has changed in response to changing research agendas. This book does not seek to provide a comprehensive account, but instead an exemplary exposition on the environments in which problems become the subjects of research agendas, with particular emphasis on the first half of the 20th century.
Turing’s Revolution: The Impact of His Ideas about Computability
by Giovanni Sommaruga Thomas StrahmThis book provides an overview of the confluence of ideas in Turing’s era and work and examines the impact of his work on mathematical logic and theoretical computer science. It combines contributions by well-known scientists on the history and philosophy of computability theory as well as on generalised Turing computability. By looking at the roots and at the philosophical and technical influence of Turing’s work, it is possible to gather new perspectives and new research topics which might be considered as a continuation of Turing’s working ideas well into the 21st century.The Stored-Program Universal Computer: Did Zuse Anticipate Turing and von Neumann?” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com
Turn on The Human Calculator in You: The Human Calculator
by Scott FlansburgThis workbook, along with the separately-sold "Answer Guide," will introduce you to all the basic arithmetic facts using The Human Calculator Matrix. Discover all the patterns that will make you feel like a mathlete and a human calculator.
Turning Points in the History of Mathematics
by Hardy Grant Israel KleinerThis book explores some of the major turning points in the history of mathematics, ranging from ancient Greece to the present, demonstrating the drama that has often been a part of its evolution. Studying these breakthroughs, transitions, and revolutions, their stumbling-blocks and their triumphs, can help illuminate the importance of the history of mathematics for its teaching, learning, and appreciation. Some of the turning points considered are the rise of the axiomatic method (most famously in Euclid), and the subsequent major changes in it (for example, by David Hilbert); the "wedding," via analytic geometry, of algebra and geometry; the "taming" of the infinitely small and the infinitely lar≥ the passages from algebra to algebras, from geometry to geometries, and from arithmetic to arithmetics; and the revolutions in the late nineteenth and early twentieth centuries that resulted from Georg Cantor's creation of transfinite set theory. The origin of each turning point is discussed, along with the mathematicians involved and some of the mathematics that resulted. Problems and projects are included in each chapter to extend and increase understanding of the material. Substantial reference lists are also provided. Turning Points in the History of Mathematics will be a valuable resource for teachers of, and students in, courses in mathematics or its history. The book should also be of interest to anyone with a background in mathematics who wishes to learn more about the important moments in its development.
Turnpike Conditions in Infinite Dimensional Optimal Control (Springer Optimization and Its Applications #148)
by Alexander J. ZaslavskiThis book provides a comprehensive study of turnpike phenomenon arising in optimal control theory. The focus is on individual (non-generic) turnpike results which are both mathematically significant and have numerous applications in engineering and economic theory. All results obtained in the book are new. New approaches, techniques, and methods are rigorously presented and utilize research from finite-dimensional variational problems and discrete-time optimal control problems to find the necessary conditions for the turnpike phenomenon in infinite dimensional spaces. The semigroup approach is employed in the discussion as well as PDE descriptions of continuous-time dynamics. The main results on sufficient and necessary conditions for the turnpike property are completely proved and the numerous illustrative examples support the material for the broad spectrum of experts. Mathematicians interested in the calculus of variations, optimal control and in applied functional analysis will find this book a useful guide to the turnpike phenomenon in infinite dimensional spaces. Experts in economic and engineering modeling as well as graduate students will also benefit from the developed techniques and obtained results.
Turnpike Phenomenon and Infinite Horizon Optimal Control
by Alexander J. ZaslavskiThis book is devoted to the study of the turnpike phenomenon and describes the existence of solutions for a large variety of infinite horizon optimal control classes of problems. Chapter 1 provides introductory material on turnpike properties. Chapter 2 studies the turnpike phenomenon for discrete-time optimal control problems. The turnpike properties of autonomous problems with extended-value integrands are studied in Chapter 3. Chapter 4 focuses on large classes of infinite horizon optimal control problems without convexity (concavity) assumptions. In Chapter 5, the turnpike results for a class of dynamic discrete-time two-player zero-sum game are proven. This thorough exposition will be very useful for mathematicians working in the fields of optimal control, the calculus of variations, applied functional analysis and infinite horizon optimization. It may also be used as a primary text in a graduate course in optimal control or as supplementary text for a variety of courses in other disciplines. Researchers in other fields such as economics and game theory, where turnpike properties are well known, will also find this Work valuable.
Turnpike Phenomenon in Metric Spaces (Springer Optimization and Its Applications #201)
by Alexander J. ZaslavskiThis book is devoted to the study of the turnpike phenomenon arising in optimal control theory. Special focus is placed on Turnpike results, in sufficient and necessary conditions for the turnpike phenomenon and in its stability under small perturbations of objective functions. The most important feature of this book is that it develops a large, general class of optimal control problems in metric space. Additional value is in the provision of solutions to a number of difficult and interesting problems in optimal control theory in metric spaces. Mathematicians working in optimal control, optimization, and experts in applications of optimal control to economics and engineering, will find this book particularly useful.All main results obtained in the book are new. The monograph contains nine chapters. Chapter 1 is an introduction. Chapter 2 discusses Banach space valued functions, set-valued mappings in infinite dimensional spaces, and related continuous-time dynamical systems. Some convergence results are obtained. In Chapter 3, a discrete-time dynamical system with a Lyapunov function in a metric space induced by a set-valued mapping, is studied. Chapter 4 is devoted to the study of a class of continuous-time dynamical systems, an analog of the class of discrete-time dynamical systems considered in Chapter 3. Chapter 5 develops a turnpike theory for a class of general dynamical systems in a metric space with a Lyapunov function. Chapter 6 contains a study of the turnpike phenomenon for discrete-time nonautonomous problems on subintervals of half-axis in metric spaces, which are not necessarily compact. Chapter 7 contains preliminaries which are needed in order to study turnpike properties of infinite-dimensional optimal control problems. In Chapter 8, sufficient and necessary conditions for the turnpike phenomenon for continuous-time optimal control problems on subintervals of the half-axis in metric spaces, is established. In Chapter 9, the examination continues of the turnpike phenomenon for the continuous-time optimal control problems on subintervals of half-axis in metric spaces discussed in Chapter 8.
Turnpike Theory for the Robinson–Solow–Srinivasan Model (Springer Optimization and Its Applications #166)
by Alexander J. ZaslavskiThis book is devoted to the study of a class of optimal control problems arising in mathematical economics, related to the Robinson–Solow–Srinivasan (RSS) model. It will be useful for researches interested in the turnpike theory, infinite horizon optimal control and their applications, and mathematical economists. The RSS is a well-known model of economic dynamics that was introduced in the 1960s and as many other models of economic dynamics, the RSS model is determined by an objective function (a utility function) and a set-valued mapping (a technology map). The set-valued map generates a dynamical system whose trajectories are under consideration and the objective function determines an optimality criterion. The goal is to find optimal trajectories of the dynamical system, using the optimality criterion. Chapter 1 discusses turnpike properties for some classes of discrete time optimal control problems. Chapter 2 present the description of the RSS model and discuss its basic properties. Infinite horizon optimal control problems, related to the RSS model are studied in Chapter 3. Turnpike properties for the RSS model are analyzed in Chapter 4. Chapter 5 studies infinite horizon optimal control problems related to the RSS model with a nonconcave utility function. Chapter 6 focuses on infinite horizon optimal control problems with nonautonomous optimality criterions. Chapter 7 contains turnpike results for a class of discrete-time optimal control problems. Chapter 8 discusses the RSS model and compares different optimality criterions. Chapter 9 is devoted to the study of the turnpike properties for the RSS model. In Chapter 10 the one-dimensional autonomous RSS model is considered and the continuous time RSS model is studied in Chapter 11.
Turnpike Theory of Continuous-Time Linear Optimal Control Problems
by Alexander J. ZaslavskiIndividual turnpike results are of great interest due to their numerous applications in engineering and in economic theory; in this book the study is focused on new results of turnpike phenomenon in linear optimal control problems. The book is intended for engineers as well as for mathematicians interested in the calculus of variations, optimal control and in applied functional analysis. Two large classes of problems are studied in more depth. The first class studied in Chapter 2 consists of linear control problems with periodic nonsmooth convex integrands. Chapters 3-5 consist of linear control problems with autonomous convex smooth integrands. Chapter 6 discusses a turnpike property for dynamic zero-sum games with linear constraints. Chapter 7 examines genericity results. In Chapter 8, the description of structure of variational problems with extended-valued integrands is obtained. Chapter 9 ends the exposition with a study of turnpike phenomenon for dynamic games with extended value integrands.
Tutorium Algebra: Mathematik von Studenten für Studenten erklärt und kommentiert
by Florian Modler Martin KrehIn einer Algebra-Vorlesung beschäftigt man sich nicht mehr mit Linearer Algebra, sondern es wird abstrakter. Um die Studierenden beim Verständnis für diesen abstrakten Stoff zu unterstützen, erscheint nun mit "Tutorium Algebra" ein weiterer Band der Tutoriums-Reihe der Autoren Modler und Kreh.In dem Buch erläutern die beiden Autoren den Stoff der Algebra. Dabei liegt das Hauptaugenmerk auf der Körpertheorie, genauer der Galoistheorie. Die Inhalte werden an verständlichen und ausführlichen vorgerechneten Beispielen erklärt. Das Konzept bleibt wieder das bewährte: Jedes Kapitel ist zwei geteilt in einen mathematischen Teil, in dem die Definitionen, Sätze und Beweise stehen, und einen erklärenden Teil, in dem die schwierigen Definitionen und Sätze auf gewohnt lockere und lustige Art und Weise mit mehr als 120 Beispielen und etwa 30 Abbildungen mit Leben gefüllt werden.So erhält der Leser einerseits einen Blick für mathematisch exakte Formulierungen und andererseits Hilfen und Anschauungen, die wichtig sind, um den Stoff zu verstehen.Das Buch ist in der 3. Auflage vollständig durchgesehen, verbessert und ergänzt worden. Insbesondere finden sich im Kapitel über Ringe und Ideale einige neue Beispiele (z.B. über den Ring der holomorphen Funktionen) und die Lokalisierung von Ringen wird behandelt. Zudem wurden weitere Kriterien zur Irreduzibilität von Polynomen ergänzt.
Tutorium Analysis 1 und Lineare Algebra 1
by Martin Kreh Florian ModlerDieses Buch soll Ihnen als Mathematik-Erstsemester den Einstieg und Umstieg von der Schulmathematik in die Hochschulmathematik erleichtern und Ihnen somit helfen, viele der üblichen Erstsemester-Fehler zu vermeiden. Das Buch ist anders als alle anderen, denn es wurde von Studenten geschrieben, die Erfahrung als Tutor, Übungsleiter und Korrektoren haben. Dadurch wissen die Autoren zum einen, welche Themen schwer verständlich sind und besonders ausführlich behandelt werden müssen und zum anderen kennen sie häufige Fehler und können auf diese hinweisen. In dem Buch gibt es einen mathematischen Teil, den der Student für Prüfungen beherrschen muss. Bei Fragen oder Problemen kann er dann in dem kommentierten Teil nachschauen und dort ausführliche Erklärungen, Hilfen und Beispiele der Autoren finden.
Tutorium Analysis 1 und Lineare Algebra 1: Mathematik von Studenten für Studenten erklärt und kommentiert
by Florian Modler Martin KrehDieses Buch soll Ihnen als Mathematik-Erstsemester den Einstieg und Umstieg von der Schulmathematik in die Hochschulmathematik erleichtern und Ihnen somit helfen, viele der üblichen Erstsemester-Fehler zu vermeiden. Denn aller Anfang ist schwer und die Autoren wollen versuchen, Ihnen den Anfang so leicht wie möglich zu machen und Ihnen helfen, Schwierigkeiten zu überstehen, die im ersten Semester ganz normal sind. Das Buch ist anders als alle anderen, denn es wurde von Studenten geschrieben, die Erfahrung als Tutor, Übungsleiter und Korrektoren haben. Dadurch wissen die Autoren zum einen, welche Themen schwer verständlich sind und besonders ausführlich behandelt werden müssen und zum anderen kennen sie häufige Fehler und können auf diese hinweisen. In dem Buch gibt es einen mathematischen Teil, den der Student für Prüfungen beherrschen muss. Bei Fragen oder Problemen kann er dann in dem kommentierten Teil nachschauen und dort ausführliche Erklärungen, Hilfen und Beispiele der Autoren finden. So verfügt der Leser über zweierlei: Einerseits über die mathematisch exakte Definition oder den mathematisch präzisen Satz und Beweis und anderseits über Hilfen und Anschauungen, die ebenso wichtig sind, um den Stoff zu verstehen.Das Buch ist in der 4. Auflage um weitere Beispiele und zwei Beispielklausuren ergänzt worden. Stimmen zur 1. Auflage: „Es handelt sich also um ein sehr empfehlenswertes Buch für Einsteiger in das Studienfach Mathematik, welches sowohl umfangreich als auch verständlich gestaltet ist.“ Maik Messerschmidt auf www.uni-online.de„Super für den Studienbeginn! Kann dieses Buch nur jedem empfehlen, der im ersten Semester eine Vorlesung in Analysis oder Linearer Algebra hört! Habe schon einige Mathebücher durch und einige Sachen hatte ich trotzdem noch nicht richtig verstanden. Mit Hilfe dieses Buches jedoch wurden viele (komplizierte) Sachverhalte viel verständlicher.“ Kundenrezension auf www.amazon.de
Tutorium Analysis 2 und Lineare Algebra 2: Mathematik von Studenten für Studenten erklärt und kommentiert
by Florian Modler Martin KrehNach dem großen Erfolg von "Tutorium Analysis 1 und Lineare Algebra 1" erscheint nun ein Fortsetzungsband der beiden Autoren, mit dem sie den Zweitsemestern und allen, die Analysis 2 und Lineare Algebra 2 oder verwandte Vorlesungen hören müssen, wieder unterstützend unter die Arme greifen.Das Konzept bleibt das Altbewährte: Es gibt wieder einen mathematischen Teil, in dem die Definitionen, Sätze und Beweise stehen, und einen erklärenden Teil, in dem die schwierigen Definitionen und Sätze auf gewohnte lockere und lustige Art und Weise mit vielen Beispielen und Abbildungen mit Leben gefüllt werden.Das Buch ist für die zweite Auflage vollständig durchgesehen und an etlichen Stellen geändert und weiter verbessert.
Tutorium Mathe für Biologen: Von Studenten für Studenten
by Lorenz Adlung Christian Hopp Alexandra Köthe Niko Schnellbächer Oskar StauferWarum ein Mathebuch für Biologen von Studenten für Studenten?Wir wissen, was man an Mathe für Bio wirklich für die Prüfungen und die Bachelorarbeit braucht. Wir haben selbst Bio oder Mathe/Physik studiert und hautnah erlebt, wie unglaublich beliebt Mathe für Biologen ist. Neben einer „natürlichen Abneigung“ liegt es oft daran, dass die Lehre selten anwendungsbezogen ist. Wir haben uns bemüht, in einem Buch nur das aufzuführen, was man als Biologe wirklich benötigt und alles andere konsequent wegzulassen. Es gibt ständig Bezüge zu Publikationen aus den modernen Biowissenschaften. Solche relevanten Beispiele werden euch bestimmt hilfreich sein. Und das Beste: Das Buch ist garantiert häschenfrei! Wir rechnen nicht mit Hasenpopulationen sondern aktuellen Beispielen wie z.B. Signalwegen. Inhaltlich deckt das Buch den Stoff der ersten Mathevorlesungen für Biologen an den meisten Unis ab. Falls ihr mehr wissen möchtet, findet ihr uns auch auf Facebook unter „häschenfreie Mathe“.
The Twelve-Bug Day (Mouse Math)
by Lisa HarkraderEach read-aloud book in the Mouse Math series focuses on a single, basic math concept and features adorable mice, Albert and Wanda, who live in a People House. Entertaining fiction stories capture kids&’ imaginations as the mice learn about numbers, shapes, sizes, and more. Over 3 million copies sold worldwide!A dozen bugs? That&’s a lot! Still, Albert is sure he&’ll find all twelve on the class field trip to the insect zoo. After all he loves bugs. What he doesn&’t love? Subtraction. But if he counts down, bug by bug, he might just win lunch with the famous entomologist, Arizona Brown! Every Mouse Math title includes back matter activities that support and extend reading comprehension and math skills, plus free online activities. (Math Concept: Subtraction)