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Modelling with Ordinary Differential Equations

Modelling with Ordinary Differential Equations

Modelling with Ordinary Differential Equations integrates standard material from an elementary course on ordinary differential equations with the skills of mathematical modeling in a number of diverse real-world situations. Each situation highlights a different aspect of the theory or modeling. Carefully selected exercises and projects present excellent opportunities for tutorial sessions and self-study. This text/reference addresses common types of first order ordinary differential equations and the basic theory of linear second order equations with constant coefficients. It also explores the elementary theory of systems of differential equations Laplace transforms and numerical solutions. Theorems on the existence and uniqueness of solutions are a central feature. Topics such as curve fitting time-delay equations and phase plane diagrams are introduced. The book includes algorithms for computer programs as an integral part of the answer-finding process. Professionals and students in the social and biological sciences as well as those in physics and mathematics will find this text/reference indispensable for self-study.

GBP 175.00
1

On Ordinary Heroes and American Democracy

On Ordinary Heroes and American Democracy

True American heroes need not have superhuman abilities nor do they need to act alone. Heroism in a democracy is different from the heroism of myths and legends writes Gerald Pomper in this original contribution to the literature of U. S. politics. Through the remarkable stories of eight diverse Americans who acted as heroes by just doing their jobs during national crises he offers a provocative definition of heroism and fresh reasons to respect U. S. institutions and the people who work within them. This new paperback edition includes photographs an introductory chapter on American heroism after 9/11 a survey of the meanings of heroism in U. S. popular culture and an original concluding theory of ordinary heroism. | On Ordinary Heroes and American Democracy

GBP 175.00
1

Extraordinary Performance from Ordinary People

Extraordinary Performance from Ordinary People

Extraordinary performance from ordinary people is a must read for the high performing manager with the ambition to reach corporate leadership status. The book is as practical as it is exciting. How to succeed and which personal qualities are required from those who display the capability for great responsibility are the themes that run throughout. The book focuses on both the key value adding activities and disciplines for driving through change and the styles of corporate leaders that attract successExtraordinary performance from ordinary people highlights how the leaders of the company as a corporate team can adopt and adapt the four value creating styles. It emphasises how to recognise which leadership framework suits the challenges of particular competitive environments. This insight nurtures a confidence to act decisively adopting an approach to communication which harnesses the energies of the organisation to achieve stretching performance targets. It concentrates on how leaders make a difference by what they do. Diagnostic models that show what really works and under which circumstances are core to this book.

GBP 175.00
1

Ordinary and Partial Differential Equations

Ordinary and Partial Differential Equations

Covers ODEs and PDEs—in One TextbookUntil now a comprehensive textbook covering both ordinary differential equations (ODEs) and partial differential equations (PDEs) didn’t exist. Fulfilling this need Ordinary and Partial Differential Equations provides a complete and accessible course on ODEs and PDEs using many examples and exercises as well as intuitive easy-to-use software. Teaches the Key Topics in Differential Equations The text includes all the topics that form the core of a modern undergraduate or beginning graduate course in differential equations. It also discusses other optional but important topics such as integral equations Fourier series and special functions. Numerous carefully chosen examples offer practical guidance on the concepts and techniques. Guides Students through the Problem-Solving Process Requiring no user programming the accompanying computer software allows students to fully investigate problems thus enabling a deeper study into the role of boundary and initial conditions the dependence of the solution on the parameters the accuracy of the solution the speed of a series convergence and related questions. The ODE module compares students’ analytical solutions to the results of computations while the PDE module demonstrates the sequence of all necessary analytical solution steps.

GBP 59.99
1

Ordinary Differential Equations Introduction and Qualitative Theory Third Edition

Ordinary Differential Equations Introduction and Qualitative Theory Third Edition

Designed for a rigorous first course in ordinary differential equations Ordinary Differential Equations: Introduction and Qualitative Theory Third Edition includes basic material such as the existence and properties of solutions linear equations autonomous equations and stability as well as more advanced topics in periodic solutions of nonlinear equations. Requiring only a background in advanced calculus and linear algebra the text is appropriate for advanced undergraduate and graduate students in mathematics engineering physics chemistry or biology. This third edition of a highly acclaimed textbook provides a detailed account of the Bendixson theory of solutions of two-dimensional nonlinear autonomous equations which is a classical subject that has become more prominent in recent biological applications. By using the Poincaré method it gives a unified treatment of the periodic solutions of perturbed equations. This includes the existence and stability of periodic solutions of perturbed nonautonomous and autonomous equations (bifurcation theory). The text shows how topological degree can be applied to extend the results. It also explains that using the averaging method to seek such periodic solutions is a special case of the use of the Poincaré method. | Ordinary Differential Equations Introduction and Qualitative Theory Third Edition

GBP 59.99
1

Just Ordinary Robots Automation from Love to War

Just Ordinary Robots Automation from Love to War

A social robot is a robot that interacts and communicates with humans or other autonomous physical agents by following social behaviors and rules attached to its role. We seem to accept the use of robots that perform dull dirty and dangerous jobs. But how far do we want to go with the automation of care for children and the elderly or the killing of terrorists? Would we be setting humanity aside if we accepted such automation?Just Ordinary Robots: Automation from Love to War provides a socially involved yet sober view into the new age of robots. It supplies a cutting-edge look at robot technologies including what these technologies are capable of and the ethical and regulatory questions they raise. The book surveys the various types of social robots and examines their social significance in homes health care traffic the police and the military. Considering the technical characteristics and societal expectations of robots in these areas it explores what is possible right now in terms of robot technologies. It also looks into the social ethical and regulatory issues future robot technologies will create. The text provides authoritative insights into the social significance of robots for the medium and long term. Illustrating the political administrative and regulatory consequences related to each area it highlights key points that need to be publicly discussed or put on the agenda by today’s politicians and policy makers. | Just Ordinary Robots Automation from Love to War

GBP 44.99
1

Ordinary Differential Equations An Introduction to the Fundamentals

Ordinary Differential Equations An Introduction to the Fundamentals

The Second Edition of Ordinary Differential Equations: An Introduction to the Fundamentals builds on the successful First Edition. It is unique in its approach to motivation precision explanation and method. Its layered approach offers the instructor opportunity for greater flexibility in coverage and depth. Students will appreciate the author’s approach and engaging style. Reasoning behind concepts and computations motivates readers. New topics are introduced in an easily accessible manner before being further developed later. The author emphasizes a basic understanding of the principles as well as modeling computation procedures and the use of technology. The students will further appreciate the guides for carrying out the lengthier computational procedures with illustrative examples integrated into the discussion. Features of the Second Edition:Emphasizes motivation a basic understanding of the mathematics modeling and use of technologyA layered approach that allows for a flexible presentation based on instructor's preferences and students’ abilitiesAn instructor’s guide suggesting how the text can be applied to different coursesNew chapters on more advanced numerical methods and systems (including the Runge-Kutta method and the numerical solution of second- and higher-order equations)Many additional exercises including two chapters of review exercises for first- and higher-order differential equationsAn extensive on-line solution manual About the author:Kenneth B. Howell earned bachelor’s degrees in both mathematics and physics from Rose-Hulman Institute of Technology and master’s and doctoral degrees in mathematics from Indiana University. For more than thirty years he was a professor in the Department of Mathematical Sciences of the University of Alabama in Huntsville. Dr. Howell published numerous research articles in applied and theoretical mathematics in prestigious journals served as a consulting research scientist for various companies and federal agencies in the space and defense industries and received awards from the College and University for outstanding teaching. He is also the author of Principles of Fourier Analysis Second Edition (Chapman & Hall/CRC 2016). | Ordinary Differential Equations An Introduction to the Fundamentals

GBP 42.99
1

The Extraordinary Gift of Being Ordinary Finding Happiness Right Where You Are

The Extraordinary Gift of Being Ordinary Finding Happiness Right Where You Are

“Did I sound stupid?” “Should I have sent that email?” “How do I look?” Many of us spend a lot of time feeling self-conscious and comparing ourselves to others. Why do we judge ourselves so relentlessly? Why do we strive so hard to be special or successful or to avoid feeling rejected? When psychologist and mindfulness expert Dr. Ronald Siegel realized that he as well as most of his clients was caught in a cycle of endless self-evaluation he decided to do something about it. This engaging empowering guide sheds light on this very human habit-and explains how to break it. Through illuminating stories and exercises practical tools (which you can download and print for repeated use) and guided meditations with accompanying audio downloads Dr. Siegel invites you to stop obsessing so much about how you measure up. Instead by accepting the extraordinary gift of being ordinary you can build stronger connections with others and get more joy out of life. | The Extraordinary Gift of Being Ordinary Finding Happiness Right Where You Are

GBP 14.99
1

Irish Housing Design 1950 – 1980 Out of the Ordinary

Irish Housing Design 1950 – 1980 Out of the Ordinary

This book examines the architectural design of housing projects in Ireland from the mid-twentieth century. This period represented a high point in the construction of the Welfare State project where the idea that architecture could and should shape and define community and social life was not yet considered problematic. Exploring a period when Ireland embraced the free market and the end of economic protectionism the book is a series of case studies supported by critical narratives. Little known but of high quality the schemes presented in this volume are by architects whose designs helped determine future architectural thinking in Ireland and elsewhere. Aimed at academics students and researchers the book is accompanied by new drawings and over 100 full colour images with the example studies demonstrating rich architectural responses to a shifting landscape. | Irish Housing Design 1950 – 1980 Out of the Ordinary

GBP 38.99
1

An Analysis of Daniel Jonah Goldhagen's Hitler's Willing Executioners Ordinary Germans and the Holocaust

An Analysis of Daniel Jonah Goldhagen's Hitler's Willing Executioners Ordinary Germans and the Holocaust

Daniel Goldhagen's study of the Holocaust offers conclusions that run directly counter to those reached by Christopher Browning whose book Ordinary Men is also the subject of a Macat analysis. As such the two analyses make possible some interesting critical thinking exercises focused on evaluation of the evidence used by the two historians. For Goldhagen a chief reason for German actions was not the mundane good comradeship stressed by Browning but a longstanding hatred of Jews and Judaism specific to Germany that dated back well into the previous century. Debating which historian is right which has made better use of the available evidence which has most successfully written objectively – and which advances the most secure interpretation of contested documents – forces students to think critically about one of the most important and (on the surface at least) incomprehensible events of the past century. | An Analysis of Daniel Jonah Goldhagen's Hitler's Willing Executioners Ordinary Germans and the Holocaust

GBP 6.50
1

An Analysis of Christopher R. Browning's Ordinary Men Reserve Police Battalion 101 and the Final Solution in Poland

An Analysis of Christopher R. Browning's Ordinary Men Reserve Police Battalion 101 and the Final Solution in Poland

Of all the controversies facing historians today few are more divisive or more important than the question of how the Holocaust was possible. What led thousands of Germans – many of them middle-aged reservists with apparently little Nazi zeal – to willingly commit acts of genocide? Was it ideology? Was there something rotten in the German soul? Or was it – as Christopher Browning argues in this highly influential book – more a matter of conformity a response to intolerable social and psychological pressure? Ordinary Men is a microhistory the detailed study of a single unit in the Nazi killing machine. Browning evaluates a wide range of evidence to seek to explain the actions of the ordinary men who made up reserve Police Battalion 101 taking advantage of the wide range of resources prepared in the early 1960s for a proposed war crimes trial. He concludes that his subjects were not evil; rather their actions are best explained by a desire to be part of a team not to shirk responsibility that would otherwise fall on the shoulders of comrades and a willingness to obey authority. Browning's ability to explore the strengths and weaknesses of arguments – both the survivors' and other historians' – is what sets his work apart from other studies that have attempted to get to the root of the motivations for the Holocaust and it is also what marks Ordinary Men as one of the most important works of its generation. | An Analysis of Christopher R. Browning's Ordinary Men Reserve Police Battalion 101 and the Final Solution in Poland

GBP 6.50
1

Approximate Analytical Methods for Solving Ordinary Differential Equations

Approximate Analytical Methods for Solving Ordinary Differential Equations

Approximate Analytical Methods for Solving Ordinary Differential Equations (ODEs) is the first book to present all of the available approximate methods for solving ODEs eliminating the need to wade through multiple books and articles. It covers both well-established techniques and recently developed procedures including the classical series solution method diverse perturbation methods pioneering asymptotic methods and the latest homotopy methods. The book is suitable not only for mathematicians and engineers but also for biologists physicists and economists. It gives a complete description of the methods without going deep into rigorous mathematical aspects. Detailed examples illustrate the application of the methods to solve real-world problems. The authors introduce the classical power series method for solving differential equations before moving on to asymptotic methods. They next show how perturbation methods are used to understand physical phenomena whose mathematical formulation involves a perturbation parameter and explain how the multiple-scale technique solves problems whose solution cannot be completely described on a single timescale. They then describe the Wentzel Kramers and Brillown (WKB) method that helps solve both problems that oscillate rapidly and problems that have a sudden change in the behavior of the solution function at a point in the interval. The book concludes with recent nonperturbation methods that provide solutions to a much wider class of problems and recent analytical methods based on the concept of homotopy of topology.

GBP 59.99
1

Integral Psychedelic Therapy The Non-Ordinary Art of Psychospiritual Healing

Integral Psychedelic Therapy The Non-Ordinary Art of Psychospiritual Healing

Integral Psychedelic Therapy is a groundbreaking evidence-based collection that explores how psychedelic medicine can be incorporated into contemporary psychotherapy. This book builds on current psychedelic research by providing an in-depth articulation of the practice of psychedelic therapy weaving together a variety of complementary therapeutic frameworks case examples and practical guidance for cultivating a highly effective ethically grounded integral approach. Chapters by a diverse set of practicing psychotherapists and leading researchers aim to provide practitioners with a method that centers liberation of all dimensions of being through intersectional client-centered trauma-informed and attachment-focused practices alongside thoughtful attunement to the relational somatic imaginal cultural and transpersonal dimensions of healing. Integral Psychedelic Therapy will be essential reading for psychotherapists in practice and in training as well as those seeking personal healing and holistic transformation. | Integral Psychedelic Therapy The Non-Ordinary Art of Psychospiritual Healing

GBP 32.99
1

A First Course in Ordinary Differential Equations

A First Course in Ordinary Differential Equations

A First course in Ordinary Differential Equations provides a detailed introduction to the subject focusing on analytical methods to solve ODEs and theoretical aspects of analyzing them when it is difficult/not possible to find their solutions explicitly. This two-fold treatment of the subject is quite handy not only for undergraduate students in mathematics but also for physicists engineers who are interested in understanding how various methods to solve ODEs work. More than 300 end-of-chapter problems with varying difficulty are provided so that the reader can self examine their understanding of the topics covered in the text. Most of the definitions and results used from subjects like real analysis linear algebra are stated clearly in the book. This enables the book to be accessible to physics and engineering students also. Moreover sufficient number of worked out examples are presented to illustrate every new technique introduced in this book. Moreover the author elucidates the importance of various hypotheses in the results by providing counter examples. Features Offers comprehensive coverage of all essential topics required for an introductory course in ODE. Emphasizes on both computation of solutions to ODEs as well as the theoretical concepts like well-posedness comparison results stability etc. Systematic presentation of insights of the nature of the solutions to linear/non-linear ODEs. Special attention on the study of asymptotic behavior of solutions to autonomous ODEs (both for scalar case and 2✕2 systems). Sufficient number of examples are provided wherever a notion is introduced. Contains a rich collection of problems. This book serves as a text book for undergraduate students and a reference book for scientists and engineers. Broad coverage and clear presentation of the material indeed appeals to the readers. Dr. Suman K. Tumuluri has been working in University of Hyderabad India for 11 years and at present he is an associate professor. His research interests include applications of partial differential equations in population dynamics and fluid dynamics.

GBP 82.99
1

Textbook on Ordinary Differential Equations A Theoretical Approach

Textbook on Ordinary Differential Equations A Theoretical Approach

Many scientific and real-world problems that occur in science engineering and medicine can be represented in differential equations. There is a vital role for differential equations in studying the behavior of different types of real-world problems. Thus it becomes crucial to know the existence and uniqueness properties of differential equations and various methods of finding differential equation solutions in explicit form. It is also essential to know different kinds of differential equations in terms of eigenvalues termed eigenvalue problems and some special functions used in finding the solution to differential equations. The study of nonlinear problems also plays a significant role in different real-world situations. There is a necessity to know the behavior of solutions of nonlinear differential equations. Still there are very few forms of differential equations whose solution can be found in explicit form. For the differential equations whose solutions cannot be found in explicit form one has to study the properties of solutions of the given differential equation to guess an approximate solution of it. This book aims to introduce all the necessary topics of differential equations in one book so that laymen can easily understand the subject and apply it in their research areas. The novel approach used in this book is the introduction of different analytical methods for finding the solution of differential equations with sufficient theorems corollaries and examples and the geometrical interpretations in each topic. This textbook is intended to study the theory and methods of finding the explicit solutions to differential equations wherever possible and in the absence of finding explicit solutions it is intended to study the properties of solutions to the given differential equations. This book is based on syllabi of the theory of differential equations prescribed for postgraduate students of mathematics and applied mathematics in different institutions and universities of India and abroad. This book will be helpful for competitive examinations as well. | Textbook on Ordinary Differential Equations A Theoretical Approach

GBP 94.99
1

The Everyday Lives of Gay Men Autoethnographies of the Ordinary

The Everyday Lives of Gay Men Autoethnographies of the Ordinary

The Everyday Lives of Gay Men draws on the expertise of 12 contributors from different countries and fields writing from an autoethnographic first-person approach. Putting the power of personal stories at the centre of the construction of sophisticated narratives of gay men’s lives the accounts draw attention to the limits of traditional perspectives to gay men’s studies that look at gayness through a sexualised lens and explore how gay men make sense of their identity in their everyday lives. Together they present a complex nuanced understanding of gayness and challenge the conception of ‘being gay’ as a sexual orientation because it describes in sexual terms an identity that is not only not always and not predominantly sexual. The authors come from a variety of fields including counselling studies and sociology to communication religion and education. The innovative approach of The Everyday Lives of Gay Men makes it ideal for students and scholars in gender studies sexuality studies sociology mental health and research methods. The Open Access version of this book available at www. taylorfrancis. com/books/e/9780367676834 has been made available under a Creative Commons Attribution-Non Commercial-No Derivatives 4. 0 license. | The Everyday Lives of Gay Men Autoethnographies of the Ordinary

GBP 38.99
1

Eucerin Anti-Pigment Specific Zones Body Cream, 200ml

Eucerin Anti-Pigment Specific Zones Body Cream, 200ml

Eucerin Anti-Pigment Specific Zones Body Cream is a body cream indicated for areas with hyperpigmentation. It acts directly on the affected areas, visibly reducing dark spots, while gently exfoliating thicker skin, such as knees, elbows and small areas of post-inflammatory hyperpigmentation, helping to even out skin tone, leaving it softer, more uniform and radiant. The Thiamidol acts on the root cause of hyperpigmentation, preventing its reappearance with regular use. The Lactic Acid and Dexpanthenol promote gentle exfoliation and help with skin regeneration. The Hyaluronic Acid deeply and lastingly hydrates the skin.

GBP 23.68
1

China and Europe Relations in the Twenty-First Century Politics Law and Ordinary Life

China and Europe Relations in the Twenty-First Century Politics Law and Ordinary Life

This book argues that although relations between China and Europe are strained in many areas including trade human rights and views about political systems nevertheless established linkages especially when considered in the context of long-term historical linkages development trajectories and intellectual cultures offer good prospects for future progressive collaborative exchanges. Approaching the subject in a balanced way giving equal weight to the perspectives of both sides the book examines China and Europe’s shared experiences of age-old civilizations of the disorienting effects of the economic social and political upheavals triggered by the late eighteenth century creation of the modern world and of the nineteenth and early twentieth centuries era of European empires warfare and the Cold War. It contends that although China and Europe appear superficially to have followed different paths with many problems in their relationship resulting they in fact have a very great deal in common concerning how they have coped with the long shift from ancient civilizations to the modern world of natural-science-based industrial capitalism. | China and Europe Relations in the Twenty-First Century Politics Law and Ordinary Life

GBP 130.00
1

FRAYA knitting pattern - No Ordinary Wednesday, women

FRAYA knitting pattern - No Ordinary Wednesday, women

SIZES XS/S (M/L) MEASUREMENTSChest ½: 55 (65) cmLength: 59 (60) cmYARNWarm hearted FRAYA 100 % organic wool 50 g = 100 mYARDAGE450 (550) g GAUGEIn stockinette stitch on a UK size 5 (5½ mm) needles: 16 sts x 21 rows = 10 cm x 10 cmIn lace pattern on a UK size 5 (5½ mm) needles: 14 sts x 24 rows = 10 cm x 10 cm SUGGESTED NEEDLE SIZECircular needles UK size 7 (4½ mm), 60 cm, UK size 5 (5½ mm), 80 cm and 40 cm circular needles or double-pointed needles UK size 7 (4½ mm) and UK size 5 (5½ mm)

GBP 0.00
1

Skinceuticals Discoloration Defense, 30ml

Skinceuticals Discoloration Defense, 30ml

Skinceuticals Discoloration Defenseis a daily multiphase treatment serum for the correction of blemishes, even the most persistent, such as post-acne marks and melasma. Indicated for all types of skin with hyperpigmentation, with visible improvement and a uniform skin tone in just 2 weeks, improving its appearance, skin luminosity and minimizing the reappearance of hyperpigmentation with continued use. It has become a daily supplement to professional procedures such as chemical peels or non-abrasive laser. Tranexamic Acid helps to minimize the reappearance of hyperpigmentation and melasma with continued use Niacinamide or vitamin B3, this water-soluble vitamin can be found naturally in yeast, meat, fish, milk, eggs, vegetables, legumes and cereals. Helps to mitigate the appearance of hyperpigmentation. Acid HEPES (synthetic derivative) activates natural skin enzymes that stimulate and accelerate cell renewal for uniform exfoliation. Kojic Acid: helps to improve the glow of the skin  

GBP 84.28
1

Madara Vitamin C Intense Glow Concentrate 30ml, Madara, Natural And Organic, No Parabens

Madara Vitamin C Intense Glow Concentrate 30ml, Madara, Natural And Organic, No Parabens

Madara Vitamin C Intense Glow Concentrate targets sun and environmental damage, helping to prevent premature signs of ageing such as fine lines, hyperpigmentation, dark spots and loss of elasticity. It can support collagen synthesis and revitalises dull, tired and ageing skin. This brightening essence gives your skin an intense glow shot, based on a complementary multi-blend of ferulic acid and vitamins C+E. Due to the strong antioxidant properties, ferulic acid helps to boost firmness and multiplies the skin’s defence against free radical damage, whilst vitamins C+E work to improve skin tone and restore its healthy radiance. Skin Type: All skin typesSkin Concern: Dull skin, Anti-ageingClassification: Certified Natural, Vegan DIRECTIONS FOR USE: Apply to a clean face, neck and decollete, follow with a moisturiser. Use daily or as a treatment course 2-3 times a year. Avoid sun exposure after application. Use sunscreen. FULL INGREDIENTS: Aqua, Glycerin**, Simmondsia Chinensis (Jojoba) Seed Oil*, Pentylene Glycol, Butylene Glycol, Ascorbyl Glucoside, Cetearyl Alcohol, Glyceryl Stearate Citrate, Betaine, Caprylic/Capric Triglyceride, Ferulic Acid, Sodium PCA, Tocopherol (Vitamin E), Hippophae Rhamnoides (Sea Buckthorn) Fruit Oil*, Coco-Caprylate/Caprate, Dicaprylyl Carbonate, Isoamyl Laurate, Triheptanoin, Potassium Hydroxide, Cellulose, Aroma, Sodium Citrate, Xanthan Gum, Rubus Chamaemorus (Cloudberry) Fruit Extract*, Ascorbyl Palmitate, Ricinus Communis (Castor) Seed Oil*, Hydrolyzed Hyaluronic Acid, Sodium Hyaluronate, Sodium Phytate, Citric Acid, Limonene***, Citronellol***, Linalool***, Geraniol***, Citral*** *Ingredients from Organic farming **Made using Organic ingredients ***From natural Essential oils 99% Natural origin of total 13% Organic of total

GBP 37.95
2

Madara Vitamin C Illuminating Recovery Cream 50ml, Madara, Natural And Organic, No Parabens

Madara Vitamin C Illuminating Recovery Cream 50ml, Madara, Natural And Organic, No Parabens

Madara Vitamin C Illuminating Recovery Cream is a glow-enhancing moisturiser which instantly revives dull and tired complexion, promoting a more even skin tone. Helps to prevent hyperpigmentation and dark spots. Hyaluronic acid delivers intense hydration, whilst the extract of seaweed boosts the brightening effect, leaving your skin softer and smoother, infused with youthful freshness and beautiful radiance. Skin Type: All skin typesSkin Concern: Dull skinClassification: Certified Natural, VeganDIRECTIONS FOR USE: Apply daily to clean skin or use as a treatment course 2–3 times a year. Avoid direct sun exposure after application. Use sunscreen.FULL INGREDIENTS: Aqua/Water, Caprylic/Capric Triglyceride, Simmondsia Chinensis (Jojoba) Seed Oil*, Glycerin, Glyceryl Stearate Citrate, Pentylene Glycol, Cetearyl Alcohol, Ascorbyl Glucoside, Isoamyl Laurate, Betaine, Dicaprylyl Carbonate, Sodium PCA, Aroma/Fragrance, Potassium Hydroxide, Palmitic Acid, Stearic Acid, Sodium Citrate, Xanthan Gum, Rubus Chamaemorus (Cloudberry) Fruit Extract*, Ascorbyl Palmitate (Vitamin C), Ricinus Communis (Castor) Seed Oil, Tocopherol (Vitamin E), Hydrolyzed Hyaluronic Acid, Sodium Hyaluronate, Sodium Phytate, Ascophyllum Nodosum (Brown Algae) Extract, Citric Acid, CI 77492 (Iron Oxides)***, Limonene**, Citronellol**, Linalool**, Geraniol**, Citral**. *Ingredients from Organic Farming **From natural essential oils ***Pure mineral pigments 99% Natural origin of total 8% Organic of total

GBP 34.95
2